{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Supporting Jupyter Notebook for \"Segmented K-Space Blipped-Controlled Aliasing in Parallel Imaging (Skipped-CAIPI) for High Spatiotemporal Resolution Echo Planar Imaging\"\n", "\n", "Rüdiger Stirnberg (1), Tony Stöcker (1,2)\n", "\n", "1. German Center for Neurodegenerative Diseases (DZNE), Bonn, Germany\n", "2. Department of Physics and Astronomy, University of Bonn, Bonn, Germany\n", "\n", "Magnetic Resonance in Medicine, 2020 (Accepted, July 30)\n", "\n", "DOI: 10.1002/mrm.28486" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Some plotting functions of this notebook require python 3\n", "import matplotlib.pyplot as plt\n", "from matplotlib import rcParams\n", "import numpy as np\n", "import matplotlib.gridspec as gridspec\n", "from skippedcaipi import * # get_zblips, get_zblipcycle and plotting functions\n", "\n", "# CUSTOMIZE VISUALIZATION:\n", "# Font size\n", "FS = 11; rcParams.update({'font.size': FS})\n", "# Elementary sampling cell repetitions along y\n", "# Increase, if you want or have to see more of the trajectory (e.g. for large S).\n", "# A minimum of 3 is recommended.\n", "SR = 3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Enter CAIPI pattern parameters and segmentation factor\n", "\n", "# $S\\cdot {R_y\\times R_z}_{\\Delta z}$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "Ry=1 # Undersampling factor along y (primary phase encode direction, w.l.o.g.)\n", "Rz=8 # Undersampling factor along z (slice direction, w.l.o.g.)\n", "Dz=2 # CAIPI shift along z\n", "S=2 # Segmentation factor" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Blipped-CAIPI trajectory $(S=1)$ associated to specified CAIPI pattern" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(Eq. A1) The blipped-CAIPI z-blip amplitudes are: 2 and 6.\n", "(Eq. A2) The z-blip sequence repeats every 4 echoes.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "trajectory_color = [1.0,0,0]\n", "if Dz==0:\n", " print(\"This bipped-CAIPI trajectory is identical to traditional single-shot EPI, because CAIPI shift = 0.\")\n", " trajectory_color = [0,0,1.0]\n", "b1 = get_zblips(Ry, Rz, Dz, S=1)\n", "print(\"(Eq. A1) The blipped-CAIPI z-blip amplitudes are: %d and %d.\" % (b1))\n", "n1 = get_zblipcycle(Rz, bmin=np.min(b1))\n", "print(\"(Eq. A2) The z-blip sequence repeats every %d echoes.\" % (n1))\n", "\n", "plt.figure(figsize = (4*SR,3))\n", "_, notation = plot_skipped_caipi(Ry, Rz, Dz, 1, color=trajectory_color, repetitions=SR)\n", "plt.title(notation + '\\n' + r'$b_1^{(1)}=%d, b_1^{(2)}=%d, n_1=%d$' % (b1[0], b1[1], n1)); plt.xlabel('y'); plt.ylabel('z'); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Skipped-CAIPI trajectory with specified $S$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(Eq. A1) The skipped-CAIPI z-blip amplitudes with S=2 are 4 and 4.\n", "(Eq. A2) The z-blip sequence repeats every 2 echoes.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "if Dz==0:\n", " if S==1:\n", " print(\"This skipped-CAIPI trajectory is identical to traditional single-shot EPI, because CAIPI shift = 0 and S=1.\")\n", " else:\n", " print(\"This skipped-CAIPI trajectory is identical to traditional segmented EPI, because CAIPI shift = 0.\")\n", " trajectory_color = [0,0,1.0]\n", "elif S==1:\n", " print(\"This skipped-CAIPI trajectory is identical to the blipped-CAIPI trajectory, because S=1.\")\n", " trajectory_color = [1.0,0,0]\n", "elif S==n1:\n", " print(\"This skipped-CAIPI trajectory is identical to the shot-selective trajectory, because S=n1.\")\n", " trajectory_color = [0.8,0.8,0]\n", "else:\n", " trajectory_color=[1.0,0.5,0]\n", " \n", "bS = get_zblips(Ry, Rz, Dz, S=S)\n", "print(\"(Eq. A1) The skipped-CAIPI z-blip amplitudes with S=%d are %d and %d.\" % (S, bS[0], bS[1]))\n", "nS = get_zblipcycle(Rz, bmin=np.min(get_zblips(Ry, Rz, Dz, S=S)))\n", "print(\"(Eq. A2) The z-blip sequence repeats every %d echoes.\" % (nS))\n", "\n", "plt.figure(figsize = (4*SR,3))\n", "_, notation = plot_skipped_caipi(Ry, Rz, Dz, S, color=trajectory_color, repetitions=SR, bAllShots=True)\n", "plt.title(notation + '\\n' + r'$b_%d^{(1)}=%d, b_%d^{(2)}=%d, n_{%d}=%d$' % (S, bS[0], S, bS[1], S,nS)); plt.xlabel('y'); plt.ylabel('z'); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# All unique EPI trajectories associated to specified CAIPI pattern\n", "\n", "Reproduce Supporting Information Figure S2 considering both signs for specified CAIPI shift.\n", "\n", "## Loop over segmentation factors $S \\in [1, n_1]$\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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XjBo1ysxX2sPDg/HjxzNnzhxeffVVRo0aRcuWLZk0aRJjx45lzJgxBAUFcerUKcLDw5k4cSJLliwhOTmZwMBAwsLCSiw9ktJn0KBBbNmyhR07dvDjjz/Ss2dPvv76a/W6EALIXi1To9GwdetWJk+ezLRp08jMzKRu3boMHToUgIkTJwLZKwaOGTMGjUbDDz/8AMDYsWM5ceIEH330ER4eHrzwwgssW7aMiRMnsmHDBpYtW0bTpk357LPPCAgI4NKlS7nqPHToUD766COSkpIYNmxYSWWNpITZv38/w4YN49dff6VBgwZUqVKFbdu2FTh8cSZ9K4pCcHAwZ86cYfPmzZw5c4Zx48bxzTffqAv7PEiUdl4XlvHjx/Pbb78xZswYjh8/zsiRI4s0BygsLIzhw4erx8Z51A87/v7+ql2WLFnCqlWraNeuHVOmTGHnzp18+eWXeXoxgPW8PX/+fJ5h8vOoyc2LoSDPkDV9ClrG7e3t6dixIxs2bGDp0qWEhITQqFEj/vzzT44fP07dunUJCAgoVJoAdV6Q0bMnKysr33QY29z8yOvZzive4pTloj4rRizrIYAnn3yywHVRcRf6qFWrVq7PgxCC9evXM3fu3ALJknXUPfLrgVn8yhzGUakdO3aUtiqlQbmw0YPIjh07RL169YSdnZ24fft2aasjhBDi6tWrYvXq1cLZ2VmEhoaWtjrliTJVjrZv3y6aNm2a70i38asf976Sfv7558LR0VF4eXmJ2NjYAo2q5BZ2586dYsyYMeLHH38UP/30k6hUqZJwdnZW55OWEja3U1nIa2txVaxYUTg5OYn3339f/PTTT+Ldd981u8foZQGoX7tzC2ep2+XLl0WFChWEp6en+Oqrr8ScOXPE66+/LkaOHFnc7BSijJWl3MhrBMt0lOGHH34QgGjRooX48ccfRcOGDQUgxo4dq95jKievvM3PrpaeM6aypk+fLoYMGSIA8dRTT+U6IlIYWxemjBtHjhRFEf/73//Eli1b1Odv+PDhucZvmabc8tkoKzc7Ge89c+aMsLe3FxqNRsyaNUuEhYWZhc0v//OL11Jfa+U6Nxvm9azkN4J1P+qh/MLn9TwcOHBAuLu7C61Wm28+WOZlGayjbEmefSbZwSrflAsbPYi4ubkJHx8f8fXXX5e2KipTpkwRdnZ2okWLFuLKlSulrU55okyVI41GI/z9/dUJz506dbJ6n7FRatu2rRgyZIjw9vYWDRo0KNTCC7mFPXz4sGjVqpVwd3cXzs7OomHDhmLJkiX3Jf15YHM7lYW8tsaePXtEp06dhKenZ46J9EL8u6BNmzZt8g1n7eVux44dIiQkRHh4eAgPDw/Rpk0bsWLFiiLkYA7KVFnKjYJ2sFJTU0XPnj2Fm5ubaNmypZg4caJZB8tgMAjAbEGCvPI2L7uuXLlSXQgrKChIldWuXTtRsWJF4evrm2ORi/w6WHnpU5gybrrQ1+HDh0VycrJwcHAQgFi1alWu8VtLU3E6WEL8u8hF1apVVdd707C5pbcg8Vrqay1MbjbM61nJr4N1P+qh/MLn9TxMmjRJ9O3b10yXclxH2ZI8+0yKEAUbcr1HoW6WlDjWxoSljSSSwvHQlSPjPoAdO3ZUJ6qXA8qlnWyd14cOHWLJkiVMnz6dZcuW8dJLLxVfSdtRLm1UFOLi4lizZg1Dhw6le/fubN26tbRVkkjypKh1UcOGDZk6dSr9+vUr0P1lvI6yJXn6ZT6Yy0JJJBKJRPIA8uKLL3L37l2GDRtG3759S1udh5Zdu3YxfPhwgoOD+eyzz0pbHYmkxDh37lyh7pd1VDZyBKt889B8LZRIShBZjsoH0k5lH2kjiUTysJDnCFY5W5JDIpFIJBKJRCKRSMouRepgjR8/nlq1aqEoCqdOnSq2Ehs3bqRFixY0b96cpk2bsmbNmmLLlEgkEolEIpFIJJL7TZFcBPfs2UNAQAAdOnRg48aNBAcH57hRq9USFRVltj9CSkoKSUlJVK9e/V+BQqDRaNi9ezfBwcH8888/tG/fnsTExPK35v39R7pjSCTFR5aj8oG0U9lH2kgikTws2N5FMCQkhJo1a+Z5z6lTp+jWrZu6uV5iYiLdu3dn8+bNOZWwsyMxMRGAhIQEqlWrJjtXEonkoWHQoEG4u7uTkJAAQGBgIIqimP169epl0zgnT56syraslz///HPq1KmjXo+MjFSvnT9/Hnt7ez744AOb6lPWKWs26tOnD4GBgbi4uFC9enVGjRpFRkYGAPHx8bi7uzNw4ECb6iORFJeyVo4GDBhA5cqVcXJywtfXl4EDB5KUlAQ8vHWdxEbkt467xc+MgIAAcfLkyVwXiP/rr79E7dq1xa5du0Tr1q3Fd999Z/W+7du3i0qVKgl/f3/h7e0t9u3bV5T16B9GysWeIxJJGadUy9G5c+eEnZ2deOONN9RzAQEB6oaXy5cvF8uXLxe7d++2WZxZWVmiRo0awt7eXgCiT58+ZtenTp0qxo8fLzQajQBybIAZGhoq3NzcRHx8vM10KgClZqeyaKNq1aqJd999V/z000+iSZMmAhD/93//p15/4403hJ2dnTh37pzNdCoAsk2S5EpZLEcffPCB+P7778X8+fNF27ZtBSCmTJmiXi+luk5SPii5jYbz62AJIcSvv/4qADFhwgSr1zMzM0WXLl3Enj17hBDZm5DVrFlTJCcnq/ekpaWJixcv5hnP7t27xeDBg0X//v3FqFGj8ry3oDKNTJo0SUREROQbR24yb926JXr27CmGDh0q+vbtK9LS0kRkZKT44IMPChR/HsjGTCIpPqVajsaNG5djs3TjS8fRo0dFdHS0iI6OFqmpqUIIIVJSUsQrr7wiPD09RevWrcWbb74pADFw4MACx7l161YBiP79+4s6deoIZ2dnqy8QRj0sO1jz588XgJg5c2ZRklxUSs1OZdFGGRkZ6v9169YJQISGhqrnduzYIQAxfvz4oie88Mg2SZIrZbEcCSFEQkKCuHbtmhg0aJAAxH/+8x/1WinVdZLyQZ59phL1w7tz5w5Tp07l3XffZfXq1Rw8eDDHPcePH+fWrVu0b98egPbt2+Pm5sbZs2fN5CxZssQsXHR0NO+99x7jx4+nevXqBAUF8fPPP7NkyRKuX79OSkpKvrpZyrQm9+rVq9y6dYvAwEBCQkLyjCM3mSdPnqRjx478+OOPVKlShYiICAICArh06RLJycl56imRSB5stm3bhr29PW3atMlxrWXLllSuXJnKlSvz5ZdfAvDJJ5+wZMkSHnnkEYYMGcL69esLHefChQuBbPeYl19+Ga1Wy8qVKwscvl27dgD8/vvvhY67PFIWbeTs7Kz+X7duHQBdu3ZVzz366KPY29s/NDaSlH3KYjkC6NKlC/7+/ixYsIBu3boxYcIE9drDVtdJbEeJbTR8+/ZtunfvzuTJk+nfvz+9e/cmLCyMJUuWqA8sgJ+fHzdu3OD8+fM0aNCAs2fPEhUVRZ06dYiIiOCLL74gOTmZ8+fPExUVxeOPP87LL79M5cqVmThxIiNHjuT333/H29sbgE2bNtGoUSMqVqxoVa+8ZAI55J46dYqgoCAzGZZx5Cfz0Ucf5dtvv+XAgQPY29vTsGFDAOrXr8/+/fvp3r27bTNfIpGUGy5dukSlSpVwdXXNcW3JkiVUrVoVgNq1awP/NvRfffUVLVq0ICUlhXHjxhU4vuTkZNauXYuXlxd169ZFUbLn6S5cuJDhw4cXSIafnx8Aly9fLnC85ZmyaiMhBOPHj2fBggX06dOHsWPHqtcqVKiARqN5aGwkKfuU1XL0/fffc+vWLX788Ud+++03fv75Z9566y3g4avrJLajSB2sMWPGsGbNGqKioujatSuVKlXi9OnTZvekp6fz8ccfq5MVW7Zsybp164iKijK7z9fXl9mzZxMWFqYubDF//nw0Gg0ajYYffviByMhIFixYwNSpU9Vwd+7cYezYsXzxxRfqSoULFiwgMjKSzz//PFfda9WqlatMa3JPnjyJl5eXet1aHPnJnDdvHsOGDaNXr1589dVXbNmyhdDQUDQajTqZUiKRPLwYG35L2rdvT2BgoNk5YbHyq+VxVlYWmZmZ2Nvb4+jomEPmqlWrSE9PJz09nbp166rn9+/fz4ULF6hfv36++hrrasu4H2TKmo20Wi2vvvoqq1atYujQocyePTvH4lB2dnYPlY0kZZ+yVo4g+yM4ZHfsLDtYD2NdJ7ENRXIRnD59Ojdu3ECv1xMVFZWjcwXZD6rlSjBNmza1OlrTv39/Tp48yYkTJzhx4oQaLiIighEjRvD5558TFRXFiBEjWLZsGQCdO3fGy8uLn376iX379rFx40bee+899b47d+7w3Xff5YgrL5nW5DZu3Fj9cmEZR3R0dIFkhoaGsmjRIkaNGsW+fft45JFHALh48SKNGjXKoWtUVBRDhgwBsofI9+/fD8AzzzyTn2kkEkk5o3bt2sTExKgrwJkSHh7OihUrWLFiBVu3bgXgqaeeAmDChAn89NNPTJ8+3SzM4sWLcXV1ZejQoVbjM7rMzJgxg7Vr17J27VpGjhwJwKJFiwDYtWsXc+fOVd2gV65cydy5c1UZ169fV3V/GCiLNurevTurVq2iVatWdO7cmV9++YXw8HBVRnp6OjExMQ+NjSRln7JWjk6dOsXzzz/PrFmzmDdvHqNGjQKgWbNmqoyHra6T2JD8JmmJcjpZNTw8XGzevNkmsnr37i30er1NZBnJysoSL730khCiWLqWaxtJJGWEUi1H77zzjgDEzp071XPGid+mv2bNmgkhsid+9+/fX3h4eIiWLVuq4Y0Tv42Tsq1NBL9y5YpQFEVUrVpVGAwG9fz58+cFIPz9/UVWVpYYOHBgjvizm4tsFi5cqK78dR8pNTuVRRtZs09AQIB6/86dOwUg3nnnnRLJk1yQbZIkV8paOYqMjBRt2rQRHh4ewsnJSfj7+4s33nhDJCQkqPeXUl0nKR+U3CqCDwuHDx8W165ds6nMa9euiaNHjxZXjLSRRFJ8SrUcnT17VtjZ2YnRo0cXKXxeLxklxTPPPCMqVKggYmNj71ucohTtVB5tNGrUKKEoijhz5sx9i1PINkmSB+WxHJVSXScpH5TeKoIPCq1atcp3Y+XCUrNmTVq0aGFTmRKJpPzRsGFDBgwYwMKFC4mPjy9tdfLlwoUL/Pbbb7zzzjtoNJrSVue+UN5sFB8fz6JFi+jfvz+NGjUqbXUkEqD8laOHsa6T2A5FFG7inpzlV7awNltU2kgiKRyyHJUPpJ3KPtJGEonkYcH6ii33kCNYEolEIpFIJBKJRGIjZAdLIpFIJBKJRCKRSGyE7GBJJBKJRCKRSCQSiY2QHSyJRCKRSCQSiUQisRGygyWRSCQSiUQikUgkNkJ2sCQSiUQikUgkEonERsgOlkQikUgkEolEIpHYCNnBkkgkEolEIpFIJBIbITtYEolEIpFIJBKJRGIjZAdLIpFIJBKJRCKRSGyE7GBJJBKJRCKRSCQSiY2QHSyJRCKRSCQSiUQisRGygyWRSCQSiUQikUgkNkJ2sCQSiUQikUgkEonERsgOlkQikUgkEolEIpHYCNnBkkgkEolEIpFIJBIbITtYEolEIpFIJBKJRGIjZAdLIpFIJBJJuWDNmjWlrYLECtIuEok5soMlkUgkEomkzJCens7EiRNp2bIlTZo0oV69evzwww9otVo++uijEpFd1gkMDKRhw4Y0b96c5s2bs3Xr1vuuQ3myS2xsLKGhoTRo0ICmTZvywgsvEB0dXSwdC8umTZvU9HTs2JGIiIj7Gr+kdHEobQUkEolEIpFIjIwZM4YKFSpw8OBBHBwcSEpKIjo6mkOHDvHiiy+WiOzcCAwMJDIyslhx2orVq1cTHBxcavGXJ7soisLEiRPp1KkTABMmTGDy5Mn8/PPPxdKzoMTHxzNw4ED27dtH/fr1WbJkCSNHjmTLli33JX5J6SNHsCQSiUQikZQZNm3axJNPPomDQ/Y3YA8PD+rUqcPevXt55ZVXSkR2cRg3bhwjR46kZ8+e+Pv7Exoail6vL5bMskh5sotGo1E7VwBt27bl6tWr6nFJ2+zSpUtUrVqV+vXrAxAaGsrWrVuJidh662sAACAASURBVImxWRySso0cwZLcF9LT0/nggw/Yvn07mZmZZGRkMG7cOEaMGFEkeePHj+fXX38lMjKSkydPlupXPYlEIpHYjp49exIWFka3bt146qmn6N+/Px4eHri4uBAQEJDj/rCwMC5dumRV1v79+3F1dc1XdnE4duwYPj4+/PLLLzg6OtKoUSPOnDlD06ZN8wxXGL0B+vfvjxCCkJAQPv30U7y8vIqld2Epb3YxYjAYmD17Nj179lTPlbTN6tevT1RUFIcOHaJ169YsXboUgGvXruHj42OTdEnKNooQojD3F+pmSYmjWDlXJm00dOhQKlSowDfffGM2/F/UL1R79uwhICCADh06sHHjRtnBkhSHclOOHnKknco+NrPR2bNn2bJlC4sWLUKr1XLq1Cns7GzjdJOf7J49e3Lt2jUAzpw5Q+PGjQFwcHDg8OHDOeRpNBqOHz+Ov78/ALVr12bXrl34+fnZRF+A69evU7NmTbRaLW+99RbJycksWbLEZvILSnmyi5FRo0Zx8+ZN1qxZo8q7Hzbbvn07U6dOJSMjg6effpqZM2eya9cumjRpYrM4bMmaNWt44YUXSluN8oS1+u7fi7KDVa4pNy8c1atXZ+7cuYSGhtpUbmBgoOxgSYpLuSlHDznSTmUfm9vo7NmzNG7cmKSkJNzd3a3eU9iRoMLIzm+uT0REBE888YR6T0JCAg0aNODOnTskJiby9ttvs23bNq5fv24zvU+ePEnPnj1LddGEsm4XI+PHj+eff/4hPDwcZ2dnoHRsdufOHQICAoiNjcXNzS1fvUuK3LyJXnvtNdq0acPx48eLLDsvz6JevXoRERGBnZ0dFStWZMaMGTRv3rxI8iIjI+nVq5d6X0JCAklJScTFxRVZ9yKSZwdLughK7gsFGf4vasUlkUgkkgeDzZs307FjR9zc3MjKymLp0qV06tQp1xdtyF78oaRk58exY8d45JFH1OMjR47QsmVLADw9PZk3bx5du3Ytlt6pqano9Xo8PT0RQrBixYp8X05tTXmzC8CUKVM4cuQImzZtUjtXcH9sBhAVFYWvry8Gg4F3332XESNGlGrnCkp2oZJevXoxduxYOnTokOPawoUL8fT0BGD9+vUMHjyYo0ePFkleYGCgWUfwrbfeKpNzHmUHS3Jf+OGHHxg7dixbtmzhxx9/ZMaMGTmG/wtTcUkkEonkwSM8PJwxY8bg6uqKnZ0d7dq1s1nbUBKyjx07RqtWrdRj05d1W3Hnzh169+5NVlYWWVlZNG7cmO+//96mceRHebPL6dOn+fTTT6lfvz7t2rUDoFatWqxdu/a+2AzgvffeY+/eveh0Orp3787nn39u8zgKy6ZNm5g7d67ZYiIeHh6sXr262AuVhISE5HrN2LkCSExMLJBbaV7yjOh0OpYuXVoq2xbkh3QRLN+US5eZ3Ib/izKCJV0EJTagXJajhxBpp7KPtJEVunbtyvbt20tbDUkheFBtNmLECBYtWpTDm+i7775j7NixOe635XvZkCFD+P333xFCsGXLFoKCggqkc17veatXr+aTTz4plmtjMbDpHCyJpNAoihIK7BRCpCqKYg98CLQXQjxhA9mRQA8hxKniyrqPyEJXtpAvheUDaaeyT54vHA8jiqLMAp4DNgJfCCHkbrNlnDJqM5vVdSW5UAnk/+F78eLFLF++nM2bNxdbXmhoKE899RRjxowpls5FRHawJKWLoiizgW5AOmAA9gHvCSFiiyFzOvAC4AvEALFCiIJ9Dil9Sq3QBQYG4uLigouLCxkZGXTo0IHvv/+e//73v6SkpPD111+zYcMGdu/ezVdffXVfdFqwYAEbN24sTRdR+eJePpB2KvvIDpZEUjLYvK4rqYVKCuJZ5Orqyo0bN6hUqVK+euYm79atW9SrV49r164VSE4JkGd9JzcalpQ4QoiRQoi6QogmQohm946L3Lm6J3OMEMJPCOEghPAtR52rUmf16tUcP36c06dPc/r0adasWWN2vWfPnvetcyWRPExs3LiRFi1a0Lx5c5o2bZqj7C1ZsoQJEyYQGxtLaGgoDRo0oGnTprzwwgtER0fbRIcPP/wQRVE4dao8DfpLJJLisnnzZlJTUwEKtVDJ8ePHrf4KuvBYSkqK2YqM4eHhaDQaNBoNAK+++ipr164tdHoWLFjAM888U1qdq3yRHSyJ5CElIyODjIwMvL29zc4vWLCAsLAwAP766y+aNWvGa6+9RsuWLXn00Uc5c+ZMvtcge9WgNm3a0KpVKzp37sz58+eB7Empw4cPp0GDBnTu3JmDBw/epxQ/GEyePJnIyEgSExMZPHgwNWvWVK9dvXqVqVOnlp5yklwRQjBgwAAWL17M8ePHWbJkCQMHDsRgMKj3rFu3jueeew5FUZg4cSLnz5/nn3/+oU6dOkyePLnYOhw9epQDBw6oe/9IJJKHh/DwcJo1a0aTJk1o2bIlsbGxNvUcGTNmDH5+fty4cYOuXbuqc6xSU1N58cUXadKkCc2bN2fatGmEh4ejKNkDQEeOHLG6/1hu8owsWLCAwYMH5wg3ZMgQNmzYAGSPcpmuuPnDDz/w/vvv2yzNeSFXEXzAGD16tDA+qBcvXuTChQvqbu96vZ74+HgqV66s3h8dHW12rNVqefzxx9UVZrZv346iKLi4uADZq78oiqIusZ6enk56err6JUIIQWpqKk8++aQqc8OGDWZfGGJiYvDy8lLjiI+Px9nZmQoVKgCQlJREzZo11eHgmJgY9u/fr8YBcPfuXapUqZJrOnQ6HS1atFDTvn//fpKSkqhYsSKQXeAzMzPzzJv09HSzpVrDw8Px9vZWK4W4uDgqVKiQZ95s3769zLnMhIWF4eLiwuXLl+nevTvdu3dn3759ud7/zz//MH36dDp27MjChQt59dVX1U0dc7u2e/duVq1axa5du3B2dua3335j8ODB7N27lzlz5hAREcGpU6fIzMzk8ccfJzAw8D6lvnyTmJjIrVu31PyyXE44ICCAS5cukZycXOwljh82xo0bR1paGjdv3uT48eMEBwezYcMGtZ6yBXZ2diQmJgLZe7dUq1ZNnfug1Wo5evQo7dq1w87Ojk6dOqnh2rZty+zZs4sVt1arZdSoUSxbtownnij29NcCM2rUKGH8CHDp0iXOnz9f6DapQ4cOODo6ArZpk9avX4+Pj496bK1NcnJyUpfUTk5OpkaNGuoGsTExMezbt8+sXbPUO7826cCBAyQmJhaqTcrIyKBLly7qcXh4OF5eXuozFB8fj4uLizqyUNA2qU+fPsJ0Fb1169blmRbL/EpLS6Nhw4bqx56zZ88SERGhrhyn0+lISkoyy3NLmZZp27p1K46Ojury6gkJCdjb26v1WmpqKjqdTv1AmJWVhU6nM6sPLe0cHR1NpUqV1PyKi4vD1dXVLL9q165Nw4YNgeyX8yNHjhT63aN169aqXXfv3k16err6LKWkpJCVlZVn3oSHh5fIe0Nx65D8mD59OtOnT89xvmrVqhw4cMBqmLi4OKpXr07r1q0LLM/IhQsXrJ6fO3eu+r969epmC2CMGDEiV3m2RnawHjB69epF1yVLYMkSLnTuzBsmez8AaiNlxHJio5OTExMmTMC5d2/YsoUWtWrxv9q11etCiBwyTPeXEELg6+vL5OvX4YcfYMQINtnbm91vb2+vdlKMx/YW93Tr1o2BO3bA4sXc7d2bvk5OOWSYYirPmI4RI0YQ+NZbsHEje4OD+cCkAhNCmOltLW/c3d2zvxo//TRs20aDqlX52WS0x8HBwSz/rOVNWWT16tUEBweTkZFB7969+fbbb/O8v27dunTs2BGAAQMGMGzYMJKSkvK8Fh4ezokTJ2jTpg2QnTfx8fEA7Nixg4EDB+Lo6IijoyOvvPIKe/bsKanklkvi4uIICgri9u3bZuf37NmT78pL9evXZ//+/XTv3r1IccfGxjJgwAAuX76Ms7MzdevWZc6cOWYvEQ8ix44dw8fHh19++QVHR0caNWrEmTNnaNq0aZ7hCjpHQVEUVq1axXPPPYebmxvJycls2rRJvXf79u106tQpR51sMBiYPXs2PXv2LHLcAO+//z6vvPIKtWrVyjM9tub555+na8oS+GcJV4LaMyLSvC4vaJtk7FD9888/xMb+62FekDapSpUqZiOApvkO1tsk0461EIIuXbqoX8tPnDjBkSNH8tTbWps0fPhwNf8nTZqUQ0Z+bVLFihWZPGEcLHsGIv4kOLgys2/82zGy1pYW5ANBq1atmNT4MhybB0F9OOiWhYu9jpQsRwRKjrQ5ODiYpc/BwYGXXnpJXVZ77ty53Lx5M0f6TbGU6ejoaGajgwcPkpaWph4ripIjLZZ29vPzy9fOlumwPPf000/Tt29fAHbt2sXp06fzlGGZDmdnZ0aPHo2vry8A169fN+sICCFy5IXl8cOERqNh27Ztpa1GiSA7WA8iixdDu3bU/eMPKMqXyjt3YNMmCAmh6969Zh2sAvPDD9CuHcyeDe3bFz48wKJF0L49lX/9FR5/vPDhtVpYvx5CQnhs717o3LnwMvbvhy1bICSEnnv28HOLFoWXUUZxcXGhR48ebNy40erXo+IghGDw4MF89NFHVq9J8ubQoUNWbZKUlKR+4c4NjUajdoCLgtE9zTiCMmHCBCZPnszPP/9cZJnlAeO8AuNLW2ZmJp6engwePJht27aZzSEwpaAuNnq9ns8++4z169fTvn179u7dS9++fTlz5gwVK1Zk/fr1PPfccznCvfnmm1SsWJHRo0cXOe79+/dz6NCh0tuH55/FULMdta7tYu1j9lxK8+JQYlX+vFuVlNLRqNxR3TmFof5n4QtvyEwF/xCeMeyhheYvzqRUYndcdXYnFeNF/dg8qPkYnFrO7EedcHMQONllEaNz4WaqI9FZXlxK8+RiqhcnEw35y5NIHnLkHKwHkREjYN8+0oo48c8uPBzq1oW9ezlnMupTKPz9Yd8+cHLCNyOj8DrodODgAPv2oXd3hyK8lLscOAC+vrB3LzeL+vV9+XJ49FHYs4c9Rc2LMorBYGDnzp3Ur18/z/suXbrE7t27AVi2bBlNmjRRXU5yu/bss8+yaNEibty4AWS7bxi/1nbp0oXFixej1+tJT09n2bJlJZXEcsvhw4fRaDR0796dunXr0qdPH/R6PY0bN+by5cvqfaNGjeLcuXOMGDGCiIjslYQvXrxIo0aNihy3RqPJ4Z529erVIssrD0RERODh4aHOTUpISCA1NZWAgADmzZtHgwYNcg0bFhZG8+bNrf7S09PV+44fP86tW7dof++DU/v27XFzc+Ps2bMIIdi+fTvdunUzkz1+/HguXrzIypUrrS6jXNC4d+7cyblz56hVqxaBgYHcuHGDJ598kt9//71Y+VZgWo2A6/u56NWNAYfas+5ObQJdk5jTbDdTgs5TzVl2s/IitHIkXzXcy4nkKjDuFjzyBlzfz/qb1fnvxVZEpHnwSo1zLG93kKer3sBBKUIHqNVwuL4fHnmD3rtb89LxJ3n5+JN8fOlRlkVU52aGG03cY5lY+yibOx7gwwaHebZKxD3byY9mEoklcpn2B4zHHntM2Nvb45KVxZpDh+jbpAmJ99xEDAYDWVlZZm4HmZmZOY4/vHqVkx4e3HV25rWrVxkSHKw27nq9HkVR1GFyg8GAwWBQh+6FEOgzM/n9xAkGNW/OqzduEGNnx8KAALM4TF0M9Ho9dnZ2ZnEEpabyf1ev8nqzZqw4coTJtWtz2eTLvTW9TY/1ej3Db9/GAdhWuTLTTp3i2ebNsbunZ1ZWFkIIVW9reaPX61l05gzTatemaVISNVJT+bJePbPrlnpb5s2BAwfK1NLSpsu063Q6goODmTNnDt999526TLvpsul//fUXb7/9No899hh///039vb2LFiwgMaNG+d5DWDp0qV88803qm/8iy++yEcffYROp2P06NHs3LkTPz8/WrZsSUREhFym3YTnn38erVbLmjVrcHBwoEOHDowbN46wsDDCwsJYuXJlDlcVyH7mXnnlFaud1qIst2swGOjevTs9e/YsrX1GTCkxO61Zs4Zly5apz+Aff/zB119/zW+//QbYZtPRqKgo6tevz6FDh2jQoAFnz56lXbt2XL58mfPnz/P555+zfv169f4pU6awb98+Nm3apM5PtRUluEF7DhsZ2yTIrqdN611Xu0xe9L9Fv1p3+e1WZeZeqklShiFHPezo6Ki2FzqdLt9617QuF0Kg1+vN3Ml0Op2Zu1lB2iRFUVSZBoMh3zbIWptk6lau0+nM9LZsk4x6h9WK45VaNxl7uDHXkh3M3Mks09GoYgLDG9zE11XH12dqceBuxQK1SW3bthWmcrRabZ5pcSWDNlVSaFs5kcd84knR27P9diX+vFuF62kVcti5IO8eer0+R9pMbZCZmYmdnV2++ZWXnY02MNXB3t4+VztnZWWpz19eeluLw9TOpukoyLvHvn37ylybJLFKnnPlpIvgA4abm5v6onSoUiW6Z2Tw571FL/R6PSkpKWYuRrGxsWYTdWNjY2mg1bLd15crnp74XbhAHWdnku6NWCQkJODk5KQ2+Onp6RgMBnUCp8FgwOHuXezs7DBUrcpBR0deP3GCjSYTaOPj4/Hw8FAryqSkJJydndWKMSkpiSbJyVz39sZLo2F3tWp0T01lVZ06ueodExNjdpyYmEgjnY5dfn4kVq9O8vnzPGowEHHvnpSUFOzt7dW8spY3CTExBGZkEFejBkeqVKH/zp3M8/ZG3Ksok5KScHFxURsFa3lT1oiMjLR63nTluUGDBjFo0CD12N7enu+//95quLyu9e/fn/79++c47+TkxI8//lhgnR9Gjhw5ws6dO9V5J82bN+fu3bsA/N///R+3bt0yWz3QyM2bN5kwYYJVmUXpwOblnvYgcezYMVq1aqUeHzlyBNNJ/7bA19eX2bNnExYWpr5szZ8/H41Go64eaOT06dN8+umn1K9fn3bt2gFQq1atIi1lXNqYtknW6t2l113Ykx7Ea35nWd7hJFOO1SHKwVcNHxsba7a4UEHqXcs2KSEhwWy1VMv2oyBtkqOjo6q3VqtFp9OZLSRTkDapQoUK6ot0YmIiTk5OqszU1FTs7OzM8qaFayRD6t3k/863Q1vBDYf0WLN0xMXFmS1ycSnJkf9cqElI5TimND3NwRhPZl1pgKOru5o31rCcX2ntvcD0OCEhgeM6X05G2fNTlMCPm3SrFsvM1meIz3Thl2u+7IqtjoNLtg10Oh0ZGRmq50Nu+WWatoLkl6Ioqt31ej3Jycl52tkyvyyfJcs4LJ+lguaNu7u72bPk5OSk1uXJyck4ODiocVjLG8mDgexgPcAc8vamTVwcfxYmkBDUSE3lhrs7WXZ2HPfyollcHLsLUfj909O5XrEiKArnvL2prtXiodORVIiJnH5padkygCOVKjHowgVWFSYdgF9qqirjoLc3LeLjiahWrcDhq2q1JDk5keHgQIaDA4kODgQmJRGRzxwYiaQ43L17l/T0dLPFCA4ePMhrr70GYNYRsKRmzZpWO15Q+BEso3taeHi4Vfe0B4mPP/7Y7HjixInqf1M3zEmTJhVrkYjcPjqEh4czbtw49TgoKKhE5yrm9qGltEjUO/NtZHNae97hyxbHWHJb4fcYfx7mfYu9HTOY0OgyH19qw22tW/4BTDiY6Ms/p30YWeMw05od48uI1sRkFmzPosKjcCbJg0sZPiy83ZQWHtE8U/UiQ2tH8FtMLX6Prsld3YNdf0gk1pAdrHKCoigjgQQhxPKChjnm7c3IK1ewMxgwFPAFSZOZidbenvR7w9dHvLxoFRvL7kIso109I4M7974qGezsOO7hQfPoaHbVqFFgGdXS09l7b87TWU9PAtPSqKjTkVLATpoiBFXT01U9jnh5MeDmTdbkE84yHVEmrjmHPT1pERPzUHWwOnXqpC7JXphrkqJz6NAhEhMTuXbtGv7+/nz//ff4+PjQoEGDfBdcyIvCjGBNmTKFI0eOsGnTphwrmz1szJo1i1mzZpVoHKb7xz3MHEqsysiDwXzW6jJtvO4w62oTirUjfblFMLrWGTbc9OViWtHamwyDA1NPNaR/rdt823g3i242YP31kl0J1IDCkaQq/HXTlXoeGbzof4vZwTs5m+zBlluVOaF1Q2vI6doskTyIyA5WGURRFGu9iM3AFkVRFCFErqsCpKSkqEub3jUYuOviQnBcHP/4+GBnZ0dmZqbZErd6vd7suFFaGjcdHdVzezUahl69ilNWFjp7e5ycnEhJSVFdDYz+xBn3FrIwGAxUTUsjwt5elfF3lSq0v33brIMVHx+vunxkZmai1WrNfJSrpKZy4Z6uWVlZHPf2pm1UFNvvTUIXQpjpnZWVZXbslZZGqp0dt+7tOfN3hQq8n5KCJiODOBcXHB0dSUxMVPPKOJfMVEbb9HSu2dn9mw5fX4ZGRrKmbl1Vh8TERDP/bZ1OZ5Y3EklhOXLkCG+88QYDBgwgOjqa5s2bs3LlSjw9PXPse1USPEjuaZLSx7RNysrKMnOFstYm3dE7MnBPYwbUvsn0RjtZ6+bD8qs6kvXZzaLlUuQFaZMs63Zr8w0t26SMjAyz+T4ZGRlm7YWp2xjk3yYZ2wdje2Epw8HBQW2TnqgaSzWnJCacC0LY5d5eu7i4mC2Xbq1NmneuErtvV+Td4Et09f53gRxToqOjzUaprX1UsUyLcb6S8TgjI4PU1FQ17VedPJlxtTI/Xg/mUY9bdKkcyTuai/wT787fMV7sTanIzViBcZTSMr8sl1B3cHAgOTnZ7FkSQqh2L6id4+LizPQ2ffcwHpvGYbmfoGUcljaxzBvAzM6Ojo4kJSXlePfIzMzMoaukfCM7WCWIoigvCCEKM2iCoih2wHn+ndComPz3BmYpirJCCGF1maCKFSua+bvfePJJ/puaChs2cP3GDV555ZU8/aCrxcQQ5+6untMJgdK2Lb8+8wyMGsWnn37KH3/8kae/e7UrVzhfpYoq45CnJ+MOHiT8f/+DevV48sknzRpJa/7uvpmZaH19qeTsjFar5WxICGOvXGHs2rXg4EBISIiZr7Wlv3v1tDSi3dzUc2lpaSQ+9RQLGzeGL75gxYoVzJ07N885WNWuXSPR21uVcc7bmzoJCYRPmACPP85LL71EXFxcuZqDJSn73K9d5nOjpN3TJA8Xlm3SM888w1tvvQXA7du36devX442yVNTiQ0Jldmfls6z3qdY0/EEx5Iqsze+GmdTvBj/4RcE39v097PPPmP79u35zsEy3SxWURQ2bNigHhekTbKcgxUUFMS0adNUGfm1SZZzilJTU3nnnXfUlSNXrlzJ3LlzqeDixKiGJ5h+pQl2js55zpkWQvDLL7+oevXv35+YmBizOUWOjo4kOldh8kU/Wrld5QMrNrKcg+Xq6sqqVf865Xfo0MF8fnIB5hmFhYUxbNgwIHuEdtSoUVTxdKa5ewwtfe7SL/ACFRwFl1M9uZjmxem7kO5chbtaV+IzXTCgMG3aNOre+6A5ZcoU/v7770LNwbK3t2fdunXqcZcuXXBxcSnUHKy2bdvyySefqDIs7ZzfHCydTse7775rtkfYihUrSmwO1uTJkxkxYgTe3t68/fbbeXo87Nmzh/nz56PVavHy8mLmzJlcvXqV+fPnm83LfhAojXyRHaySZYiiKIOBN4QQ1woS4F7HKYeTv6IowcB6YGBunStrnG7blic+/hjs7PDu3Tvf+30yM4m7V0kaiXr7bdxffBFGj+bJRx/lj3vzmnKVodOx30RGmqMjfPwxNGgAisKo6tX54V7jaA1HgwFXvZ5kE3fAs7VqwaFD4OgIffrknw6djliLr3BX+vfH79VX4csveaRzZ+Yqefv3+2RmctVEhkFR0H/9NU73lrAeVKdO0fYIk0gkEkm+ROtc+epMbVZEN+NxzW06VbrJMP9TeK5vA+v0YMhkFB40quPOZW1ljiRWobx/1nqi0k2ida6cSKoENtwlTKCwO6aqzeQVhbQsR/YlVGNfQjViY2OpU9WNum6J1HNLIKRKHDXdY6jslI6ngw6dsMfp1wOgSwRDJpMdK3CpiTNa4US0zpUbKfbc1bpyK8un0HPUHlQSExO5desWgfemdOTn8RASEqJ2/J577jlSUlIICAjg0qVLJCcn5xi9K6+UVr7ImYcliBAiFFgE/KEoymRFUYrToW0MDBJC7ClMoCwHB0hJgZAQ3H79Nd/7fXQ64iw6Jlrj0uQhIbQ4dKhAMiw7N7zxBigKtGvHM/f2RsqNSlot8c7OCNMOkKJAVBSEhMCqVfnui1XZSjp0Pj5gMEBICHV27Mg3HZV1uhydTUOPHtm6tG9Pt1wWDDBib5CbMUpsi7V9rySSB53ULEe2xATwyaXWDDjelXM9/gJhAP8QKpJMVIYr7bxv81OTP5na6B8aeySWtspFwl4x0K/6RZbdyn3ftQeJBL0LhxOrsvxWA94/UY8J50IY9E83eh99mkEnunA9dAOILPAPwY10ll4L5M9YP6K0FajsrKVrlSg+qv83y5tv5fNGBxlW9ypBFWOxL8o+YOWIuLg4qllZsGvPnj0EBQUVWt6mTZto1KgRFe99PK9fvz779+8vtp73k9zyBEovX+QIVgkjhFilKMpvwH+BI4qijCpsJ8kopyD3paWlodVqgWw/8lWrVlG7Rg1C9+5Fryho4uOJMXnx1+v1JCQkqMeVMjI44uamnsvMzGTs2LG8VaMGoXv2kGJvT2pKCjqdTg2flZWl+g8bDAZ8dDoitVqSTGSEhoYy0s+PZ/bs4ZKrq5mfuHHJW6NLXbXUVKLt7VUdsrKy2LdvH+H30pHq4EBQbCxnTHzGs7KyzNLhmZbGLQcH9ZxOp+OTTz4h/V469IpCRmKimldGH2hTGT5aLddMzmVmZtKrVy9G3UvHTWdnkpOTzVwBMjMzjn8HqQAAIABJREFU1bzxvuePLpHYivux4IJEYkss26RffvlF3eDYuNm4waRNsqyHjcem86PeHPd/vFW/BqGGvay7UZUFFyrh6OiLm30tOle5w5QGp4hMi2DGhVpcTXGxKjM0NFQ9TkhIMNu7yLJNMs4TNqYjKyuL/fv3m8nQ6XRmcVi2SVqtFr1eb9Ze/Pe//1XdDFNTU+nmc51rKU7su2GHwZCUa16YHj///POq3sb5RcY9lnQ6nfoz5rc1YmJizPZyunv3rlnatFptjrQYDIYc+WWc95aZmcmiRYtU97zMzExSU1PN4rd897DMr8zMTIa+/R/G1vPLtvP1Kuy56XTPxdIVvd4Dg8GAk5MTno6Z1KuYRBOPeF6r/g/VXTM4Eu/FH7e8eL5Hd7SG7LQlJyej1WrVZ8motzHtxvbbaGe9Xs8ff/zB0aNHVb0s7WyZDsu80el0/Oc//zFzk7V8lvR6vVkZyI9Dhw7RunXrHOeTkpLMXDkLwoIFC4iMjOTzzz9Xz2k0GpKSkgolp7TJLU+g9PJFdrBKmHuufe0AD6AGsFlRlBXAW0KINFvHZ9xEFrIbNkVRmB0UxOygIEaePMmTSUlsuLcvFmRXDqbDnZqsLDI8PNRzSUlJ2NnZZcto3Jh5O3bQ2GAgyv3ffTWEEKoftL1ej6vBgPD2xv1eJRYfHw/A7KAgfvP35/2DB6no5oa9SYXu7Oys+kFXjo0l0dVV1cHYQBjT8eLly3RPSOC6iXteZmamWTp8srK47OWlnktOTv43HUFBfL53Lx20Wk7c8z3X6/WkpaWZyfDW69F5e+N+Lz+Nk6BnBwWxpF49fv7rLyq5uJB177qln76vnIMlkUgecqy1SaY4Ojqa1buWbZLx2HQfLDs7O2ZfDWL21SCSkpJwdf233t0S48q2aD9erBXN7NYnCY/y54czPmYyjW2SEXt7eypWrJhj8QzjHCzL/btMOy2mMkzjsGyTjO2k8WXemA4jigL9at9l/o1GuLu7o9frSU1NzTNvTBfmANT9lYzzvCz3XDJ2gCzx9PQ008Va/pjGazAY8s0v0w6bEAJnZ+c802KZX9bsXKHCv/O8TN89DMAZrScHI7xZHeeJl4OW1l7RhNa4xmTvqxxOrMy26Br8meBAxYoVcyzoYXz3SE5OxtHRUY3D2CnOKy8s02GZN8Z3D1Pc3NzUOIwLqhTGHe/w4cNoNBq6d+/OlStXaNmyJcuWLaNx48YsXbpUvc9yi4kKFSqwYsUKxo4dC8DGjRt577336NGjByNGjODjjz+mcuXKXLx4kSeeeKLA+pQFcssTBweHUssX2cEqQRRFSQBuA3uAP4EPgavAW8BqIDT30EXDdKdz4w7uxuNDVavS69IlNplUiqa7vAN4Z2aS7OqqnjPucm483qfR8GhCApt8fdXrBoNBve6t1ZLg4GDWeTKN47qnJ0JRCMjI4Lanp6qzaRzeej2JTk7qseX1w9Wq8e7VqyzIKx16PckuLmZ5YSpjv48Pj8bHcyogAMhuAMxkCIGXXk+KhQx7e3sURSHN1ZVLFSvSJDGRk/cmU1vGoZGrCEokkoecvNokIYTZddN7LI+NHQnLNsmy3rWzsyPL4EB4dF32JdRgbOBxpj0Sw7RrbUjOcrIahzG8qQzTY0u9LdukvPQ2jcNST9PjJl4puNgZOJlSFXt7pUB5Y5RhfIEvSN5Yw9ghK0xa8soPy2NLvWyRX5ZpM23Dk0UF/owP4JdLFalV1Z12Xrd53f88r/vp2RBdl11xfuiEvVU75/W8lkTeZGVl5cib/Dh8+DBarZYNGzbg4OBAhw4dWLduHWFhYXz88cdkZWVhb2+fw+Nh48aN1K9fXz3u0aMHNyymbBgMBqKjo4vkUmdrCrN3Y1550qxZs1LJF9nBKlnqCSGirZz/n6IoQ+63Mqe9vZmckoJzVhbaXAqzd2YmiXnsNXXM05Nn795lUy7XPXU64i0qazMUhaOenjSPjVU7WDlkZGaSkIeMaxUr4mowUCUtjbsm+1SZ4pWZSUJe6fDyYvL587led8vMJN3ODn0eld4xT0+ax8Vxsnp1q9c9Lb5wSiQSieT+EZvpyvvnW9Ov8j9823g3M6825VhSye4FVVSeq36T8Nt+iId4c+WSIEnvxJaYALbE+FOLCAbUjWKQ33l2x1dj4zVvInTlb5+/I0eOsHPnTnUUrPn/s3fe4XFU5/7/zPZd9S5LbpK73Cm2hWWwwSQQOhe4CZdOfoSSEEhuIAFfAoQk9IQUDFxTLuHmGuwEEuLEiTE2xrKxjRsuGPeiXne12jazO/P7Q5rxzGi1koxp9nyfxw+cnTnve973jM47Z85bpkyhqakJgJ/85CfU1dUlLTh/4YUX9km7traWH/3oR8d3wMeIgdRuTKUT+GL0Ym2wPkP0srlScdlnwTMSiWjxUKIooiiK1k4kEnyclsaE+nrWFhYCXbtyzae0+9SmJhZD6j4Wj0ajxONx7bi/2ufjx4EAjnCYsMOBLMuEw2Gt5pOzvZ12u93gpypJkqG9OjOTKxoa+Eu3q2IikdD8kgEyIxHq3W6tj1pXQp86em12NqfW1vIX3QmUnkeWKFKn4xuLxZAkSdNFq9NJhiiS7/dT5/ORSCQQRVG7Pyscpt3h6CGHPnZsVUYGDx04wIuxGHR/+QqHw5pLQZoVg2XBgoWTHH3ZJEVRDO52BptEz3XXbJPUGBqVhtkmybLMr5tK2BTI5T/HbGFbIItnO4po7zj6ES8ejyNJktbHbJPUmBl13Or95nIGejnMNikajRq8PfQ2KccpMi23had3lZFwitoY9DZJ1YW+rV7Xx0I5TN4jepvUW62l9vZ2wwmKmY9ZtkQiQUdHh9YnGo0a3Cb1MXeqvgRBSDnP8Xjc0FZjmfT6stvtGg1FUQyyybLcp742iJl8HC2hxBvlnIJ67q/YhaLs4v2WAta15vCh6DK8J6jPhLmmZSo5YrEYiqKk1I3b7dauqzXE+oumpiYikQhlZUeTTa9fv54bb7wRgFNPPbXftJJhyJAhSTchXwT6e4LVl07gi9GLtcH6gqAoSu/HJ58CDodD8ydWgybVdiKRYP2oUdzpcjH3v/4LgB/96Efa9QxJImqzIXi9qGc/kiThcrm0RTvkdlM3dixPTJlCw2WXsWnTJhYtWqTRKFQU2l0urQ1dC4y+vau8nImNjTxy883ESkr4zW9+Q1NTk+amkJdI8InXq/VRjYeexprhw7mvtZVJ998PNhv33HPP0euKQq4k0ZmWpv0mSRJOp9Ogmx0TJvDwsGEcuvVWWlpaePzxx4/KEQrRrrsfji6MqqtKfWkp2S0tPHHJJXRMnswbb7zBli1btD75lougBQsWTnL0ZZNyc3O1ulhgtEnQc90126R4PM7555+vFcXevHkzb7zxhkZD3dB91FnMd7bkc0XpIV6p+pgP/fksaxrEFn8uaWlp3HHHHWR1e1X89re/pbGxUbNJqhtXKpuUnp7OT37yE61tsEm6casv1nqb9K3hh3i3sYCxUyq5/PLLga76So899lgPXaTSjcfj4dprr9XSUS9atMhgk3qDflzJ+KSlpXHfffdp7QceeEBzp9PLlkpfJSUl3HbbbRoN8zyb3xPM+pJlmUsvvVR7UV6zZg1/+9vfDM9WPB5PSTMtLY27775bezH/3pNPUCLXcEZBO3eMOkjJxBAf+bPYG85md2cmO9o8tEQdA5pnURRxu92G4sVOp9Ogm6qqKs4//3wADh8+zO9///s+50jFhg0bCAQCHD58mKFDh/Lss8+Sn59PYWEh48aN46yzzqKwsJCHH364R9/du3fz4x//mOLiYnJzcw31vVQEAoEedaJ27tzJM888oyXkePnll3vEUibrt379el566SWgyw1vxYoVjFKzUvcD/T3B6k0n06ZNSzquzwvWBusrAEEQfqooykP9uVcfoKlmLNK3P5o4kdv+9CeqZs2Cb3/bcL1EFGnuDlRV/3hEUcSl2zBFo1Fqr7+e2fPmMfJXv2LoBRfwF12BweJ4nBa3W2tDV3YkfTsOSHfcwen/7/9BZyfimDE8OniwFiBbKIr4dUGg6hchPY1PMjNJs9mouvJKaG3lPwsKePm00wDwSRKCIBD3+fB0L2qxWKyHbvZceCFnPvYYQ/74RzqvuYZf6a6XyDLNvcih6kZRFDruvJNJ994LkQjeadPY4fNpfYqsyuwWLFg4ydGXTcrKytJqzkDXhizVupvMJo0cOVKjob5UqzRkWSYSieDxeFCARU3j+d+9efzbyDDfLttPiXsbe8NZjI4U4t27CvwHySsfxG/FIdQl0kgoNkRR7JH8wGyT3G63QQ69nGof/SZEtUmDMxTOL67j5g2nc8bXh2g06uvrDTz1ulARDocNL/OKojB58mQmdteZXL16Ndu3b9f69FZAXC3K3BsfwCCb+o6gz4ioH6skSYZ5FEWR3NzclPrp7OxMqS9JkhgzZoxGo6mpyTDP8XicWCyWUl+KolBZWaml3X7hhRfY1xjlSFMJrzeBEG7mtIIQFdkRrhxSw72j/TgEhWbJR1PMSyDuIi64qdr+XWjcCoMruWJYIzZ3Bv64i+aYjz2SgEN3QpVMN8OGDdPk2LVrV495ToWNGzdy++23c+2119Lc3MyUKVN4/fXXtQLHsViM8l7qcy5ZsoTrr7+eSy65hLvuuouNGzf2ONnJysrqUSeqoqKC559/HoArr7ySUCik6TBVv2nTpjFt2jSam5upq6sb0OZqIOhNJ72N6/OCtcH6auAOuhJkfGrEHQ4Ih7vqSb34InR/9QPIj0Zp7sdXFP+oURCPw8yZDFmyBHRZVfJiMfaaa2AlQeSuu0h77DGYOZOzqqt5VJfZsCAWo7kvGoLQVQ9r2DCoquKS1at5WR2DKkcfhYSDubmaHGmvvQazZmnXcqNRmvqji4suYvC8eTBzJlOrqw26yO92k7Bg4XhCrUhfU1NzXKrNW7BwsiEoOXm7qZy3m8rJsIuMTvPzn/njYcerMHQmYw+t5p5RAQo9UTb4i1hyJJdNwcLPZCxXl+5mafMwWr+CsUAnGvySi1Ut6WwIdZ1wRSIRvEKM4Tk2Cl1hspwi6W5b1+ZqaBUcrqYsrYhMr0i2M0ahK0LBuDBR2cG+cBZ7Qtl85HKyK1yARP82UH3hgQceSPp7VlYW69evR1EUrrzySmbPnq2dZKq47rrrePDBB1m1ahW1tbUcPHiw365zK1asYMGCBeTn52tZo/uL5557jltuuWVAfQaC3nTyRcPaYH010O+o10gkovkkq/Ue1HYikaCmpoYds2YxbtUqEk4nQwIB6rtdLdL8fhqdTjo7j1aPV/2gVZ9qURR59913GXXmmYx77z1Eh4Oozt89u7OTxpwcgsGgRiMejxvaNpuNP77+OuecdRYV773H4bQ0wuEwoigiKAp5okiNLKN091FjsPQIhUIs+Ne/qJw9m4qVK1mTna3x8LW10eR0EgqFDLUo1ONtVa6NGzeyo1sO2WbDFg4T7N6UZXZ0cMTh6CGHXjeCIPDmW28hdMvR6vUSjUY1XeRZadotHGfoK9IPHz78uFSbt2Dhs0RfNqm2tpYFCxZo94uimHLdNdskSZJYuXIlbW1tAOzZs4dIJKKtw4qi9LBB+nYQqA/4yNnqYq7vLMYdXsXfm4byy62DyffB7IImbi7fz80c4JWDZaxtzSUeTyS3STo5JEky8FRjcPQ2qczbwWmZDVzzwTQikQibNm3SaHR0dBCNRg2uWGY5JEmis7NTu0cQBN58803WrVsHwLZt2ww2yZxaXkVnZ6fhdMvMRxAEg2xq6nF97JcalwZdp4g2m03TUTwe5+DBgyn1k0gkeuhLH8sUi8VYtmyZlt1t+/btPWKwzDSTvXv8z//8j+Yt09DQYKjTZn5PEEWRkKIQlNxAGpCGzWZj+oiu5+Rj31k8tj1iOH2KRMIMzhQYkxliTGaQiwY1cX/OJxwIpbGuNZf3YumsW/eBprvm5maN/6eB/hkoLCw0yK0iLy+P3/72twDceOONVFRU9Jv+nDlzmDNnDt/73vfYsmULp5xySr/6SZLEsmXLuP/++/vN60SBtcH6aiD5uX4S2O12zTc9kUggy7LWFgSBtrY2vp+RAXPmcPPevZzX2sofioqALhfBhu6jbf2irqdpt9vZvHkz33e7Yc4cnv/gAyZ2dLC3u4L2oFiMOp1/vMpX3w4Gg7z11lv81W6nsLKS+evX4wTsDgd50ShBhwPRbser66MPaoYu47Nw4UIW2u1cNGYMY5ubteulkkR9txzm9Kt63ezbt4/v+3xw9tn8bMsWzmxro7rbB78kFmN9dnYPOfS6CYVCLF++nPccDjxnncXC998nOx4n5vViUxQKrSyCFo4RbW1tjB8/nvr6esPvySrS91Zt/mtf+9ox849Go9x999288847eDweKisreeGFF46ZnoWTF2ablEgktLbNZqO9vZ2FCxdq9yuKknLdNa/lNpuNTZs2sXPnTuDoi7l6XVGUHjSBHjbpL3/5C2/b7MAcQqEQTqedkOJiSdMwFh8q4MzCNm4bvZ+LSxv49ScjOBQgqU1Sobe9KvTjdtjgvgl7efHgSGKCB4cjxr59+7S/eTVeLdW4VdtqtkmqW104HDbw7K2YbSKR6BEDZNaPXjZJkkhLS9M2Ceoc6d8TzDSam5tTznMyWfU0Y7EY69evZ+vWrcDRzaJetmRJPsxy/PnPfzboSx/PZ7PZDH3UTZt5nr//z0xgTlI5BMFGe8LH+kAG6wPFhEIh0tx2TskPMS2nlV9O3UNC2ct7a1ewormIA0FvUl0MFCtXruTVV1/V6nRNnDiRxsZGQ32n2tpa7bRn0qRJjBs3rsc90LNO1KFDh1i8eLEWzzhhwoR+9SsrK+P111/n3/7t37RnpaGhgXnz5rFgwQIeeeQRzjnnHCorK7ngggtYsqS3/NSfDsnG9XnA2mB9hhAEYQ9wtaIoGz4vni6XSwvgVHP+q231JEhtbxgyhO9u3Mji7vZgUWSlz4fX6zUEFOsL8al+0SqN6qIiZgeD1JaXg6JQEo3SlJ5uqE8QDocN7Wg0iqe7vlTQ66Xe4+GUaJTdOTkMD4ep93rxdv9TeQK90vxwyBBu2ruXNLcb2WZjiCTR2B0Lpc80ZdaN2+3W2h8MGsSZDQ1s6m6XxGI0duvCzLM33XyYnc2sYJDqwkIKIhECLhdfzoTAFr7s6K0qvbki/fGoNp8M99xzDx6Ph927dyMIAo2NjZ+KnoWTF6nWXfXUI5W9SLbuejyeXm0SHC24C10vydFotN82SeXhdru1kw5JktgQHMyuj0dwWdE+nj9tE4/vGs02saBXmqFQyNAWRRGPx6Ntfq4ctI9gws17HeV4vQKyLA9YN2psmT7ZhF43avyPvk8yZJlKpvQ2ByrUWCe9vszxUPo5UDe9qWj2pS+zDZdl2SBbPB5HFMVPra9Uz9Kx6kZwuvg4lsPHDYP53Z4OxmdHmDuolScmbqEm4mPhwRJ2SPmfKkX/7NmzmT17tuG3DRs2GOo7lZaW8uKLL6a8B+hRJ6qsrKxP2sn6AVxzzTWGdnFxsXaSOW/ePO33z2pz1du4Pg8krzpn4XjBAywQBGGC+oMgCMv721kQhAxTO/M4jo19WVnkiyLZ3RuY4nCYun7ET+mxOSeHKX4/AJmShAwEB/glZlN2NlO6K8cXh8PUD3AMfo+HJpeLEd0vlcXhMPX9DBhVsSU3l6mBACgKgqJQdAy62KiXIxSiYYBjsGBBhb4q/ciRI7nqqquIx+NUVFSwb98+4Gi1+YaGBm699Vaam7uqQuzZs4dx48YdM+/Ozk5effVVfvazn2kvtUXdp9wWLJzMiCs2FjWM4oGPp3LX6L1cW7oLh5D8VCgVRqe18+9Da/jVnrEMIALAwgkBgU86M3mppoKbt53DPxoHc33ZIeZPWMklRfvJdvQ/ZXtfuPDCC7VshZ/mnuPZ72SCdYL12aIZ+BawWBCEyxRF2QvkDqD/A4IguAAEQXgAKANuTNVB/Yqj/r++joTqnqH3w96YmcnkujreKSlhSDDIPo8HmyhqL1Z6v2qVhp7HRz4fpZEIvmCQ0lCIg+npPXgka+trjnyQmcltR47wmigy1O9nn9eLJEmGL0BmGmrNCxXrMjOZUl/PDp+PYYEAewoKEEVRc4lQeeprT+h1U+t0ErTbGdbSQqfTSafDQYcgYEvCszfdfJCRwQ1HjiDFYgxub2e/z8fEVJNlwUIvSFWVXq1IP9Bq8/2tKbJv3z7y8vJ46KGHWLFiBenp6TzyyCOGDGAWLPQXA7VJva31/bVJkiQZ7IOiKAO2SfF4XHMXU9v6Ok7bOn18e90k7pt4gKfGruI3+ypolnvWeUrGY4gnyP0jPuSR7aOo6XTg8Rwdt81mG5BuVJqpdAMYdJMM5tisvviq+tbbU3Padn38VDIb3pdNV2VTY8OS2XD92GVZ7pe+RFE0pFA368vMo780ze3+6mZZqIC3D6YzY1Cc84pqeHbCbiycGLA2WJ8xFEX5RBCE64A/CYJwEQOIpwJ+ArwB5ANnAhf11UG/IKnGTIXqT6wvare6uJgrOjqITplCxOej0+HApQus1ReEVP+rD4aVEgnWFxRwpSxjd7tpHTxYc8nQ6cDQTiQSWhAswLacHEr272dmYSETd+xg4eDBhqBPdRFU79fTULG2tJR5+/fz0dlnU/Tuuxz2+Uh0B96qNMxBvGbdrCos5PJolAM5OTQWFwMYeKhy9aYbv8tFh9fLBT4fpwoC20tLe5klCxZSI1VV+lQV6VNVm+9vTZF4PM7+/fuZOnUqTzzxBOvWreOiiy5i7969ZGYe10N0CycBBmqTfD6fwfVow4YNKdfdHjZJkkhPT9doKIrC+vXrB2ST7HY7paWl5OTkAF21ihobGw0v+w0i3LtlHHOLmrlv9BY+KfLyRs1wtgUyURBIS0szyLFp0yYqfI3817g9PLunjFX16Tgcxpd784bD5XIZaJjl6MsmxeNxBg0axKDuGOnW1tYe8wNdrsf6GKy+bLjX66W8vFxzodyxYwfRaFTTjz4JiV42fa0tr9ebUjY17brehuufnXg8TnZ2NiNGjAC6NlqbN29OOW51XKq+nE4ngwcP1lwkDxw4YNBRsncPs270zxp0rd2xWMywiVPjAHvTjcvlRhx0Kn9lOkv9Ek9h4USAtcH6bPExgKIomwVBuBX4K5CVustRKIoSFwThKuA2YIGiKH2mpdPHLnV2dvaIwQIML0nbsrL4r02bmLdhA3R2cu+RI7w4daohyYXeR1ld9NU0nZFIhIMXXMDNf/wjhMMkvvY13OGwgYckSYZ2IpEgIyPD8IUn+K1v8cC770JtLf82bBjv6+pJxWIxRFE0ZEUz09yflkYR8OSqVRCPc09DA78bO9YQ6Kz3rU6mm20zZnDtX/4CH30EM2fiMulK5ZlKN21XX833/vQnaGpi6Nln9zVdFiz0QF9V6VOl1U1Vbb6/J1jDhg3D4XDwrW99C4Dp06eTn5/P7t27Oa271pwFC/3FQG2Sw+HQMp1BV/aytLS0AdmkM844QytVIMsyZ5555oBskiRJ3HHHHVRWVgJdaaYXL15siAt2OBxkZGSwPpLF5h1lzPR9zI8q9uG2JdgQKGRXMJv//NE3ofoJ2PM2R2Z58dgSPHt4Mh9GivB4AgabpGa91eumpKTEoItZs2YZxh2Px8nIyDBsAPS6URSFq6++Wite/M477ySdo/z8fEPbrB9zG+Dhhx+muPtD5O23386ePXs0mx0MBnvEYNntdgMNl8uVUjZFUfD5fFoMltmGh0Ih5syZo31Qamlp4fLLL085brO+ZFnmBz/4AVOmTAHgySefZOnSpRqPSCSC2+021AlLpgu9HN/4xjcADJtJfXxaMt2MHj3aQMPCiQErBuszhKIo/6H7/7XAD4EB5U5WFCWuKMpv+7O5OhZIdju8/DLs3g0zZ3JxXd2AadQOGQKRCFRVYVve7xAzA+quvRYOHYKqKsZ98MHACQhClxyffAJVVZx36NCASbRlZIAkwcyZsHbtwMcAHJozB5qaoKqKopUrj4mGhZMb+qr0gFaVfsyYMdx00029bqD6wuLFi9myZUvSf/og7fz8fObMmcOyZcsA2L17N01NTYwcOfLTC2fBwgkISbHzp8ODuGPHWfxi72k0xnxMz26EZT+C3X+BIWdQ6gnxna1n8GHAime0YOFkgLXB+hyhKMpyRVHy+77zc8a558Jtt8Hatfy1pOTYaHT3l7/97WPqLnu9cPvtsHYt22fOPLYxTJqkjWPpsGHHRuPWW7s2V9/5zrH1t9s1OWovuODYaFg4qaGvSl9RUcHq1at5/fXXtYr0Y8aM+czH8Nxzz/GLX/yCiRMn8s1vfpM//OEPhuyFFixYSAaB/ZEs3mocwaP7ToGb18Bpt8ORtSxtKSOccH7RA7RgwcLnBEHvu2zhq48ZM2Yo6vG36puur+mQSCS0I3foOjLX+16Lomiox6AG++r9idWaFypN1UUDuo7x1dSwehpmmvq6Jmpb754B9OChpyFJUp9y6HkkCyA260YvR2+66Es35lpba9euTZYiyvqj+3LhKzVHc+fO7dXV5wTHV2qeTlL0mCPLJh2V48tqk/Rz1JssZj5Op1OTRU1CkkqWY5ln85yYeQAGF8K+5lmtafVln+fVq1d/qrXuhz/8IeFwmNraWrZs2cKECRO0hEknKz4jnaRMAXryavsERbquBlUyf/fOzk7Dl+jW1lYtkFdt5+bmaotDR0eHwafb7/f38HeXZVnzUZZlGb/fT25uroFmXl6e1m5vbyczM1NbcDo6Ogw1Rzo6Ogz1LZLFYJlptrS0GOQIBAKkpaVpfzyBQKDPGKxkutHzOBbdWLBgwcLJDMsmdSEQCBhiisw2KVkMVl82qa2tjezsbG1DZdZNIBDA6XT2aZMKCowVG5NQ85IwAAAgAElEQVTZPn3b7/cbYtbUJBmp4oyi0aghdsk8zy0tLQYe/dGXIAiabPF4nGAw2OPZGai+9DzMz1JvutHzPB66+bTYvHkz+fn5LFq0CKfTybhx49i5cyeTJk06bjy+DOhvXDF8MTqxNlgWLFiw8BXBF1WR3oIFCxYsfDWgxtbqC2V3dHQwbtw4zjrrLAoLC3n44Yd79Nu9ezc//vGPKS4uJjc3l0ceeaTHPYFAgLvvvptly5Zx5MgRAHbu3MkzzzyjlUx4+eWXDUlpeuu3fv16XnrpJaCrruOKFSsYNWpUv+Xsb2ZcSK6T3NzcpOM6XrA2WBYsWLDwFcEXVZHeggULFix8+XHgwAEyMzMZOnQo0HWiFgqFGDx4MBkZGcRiMcrLy5P2XbJkCddffz2XXHIJd911Fxs3buyRtVaNBZ47d672W0VFBc8//zwAV155JaFQiPT09D77TZs2jWnTptHc3ExdXd2ANlfQ/xOsVDoBeozreMHaYJ1gUIsqqohEItrxt7mYYrL7VV9pvf+ww+EwpBwVRVH7CqDWmVCPvxVF0Yrz9cZDLaCowuwnDl31p/Q+9LFYTHMF0I+zNx6SJGk+2+r9kiQZ/Jz1ulGvH2/dWLBgwcLJDPNarV93FUUZ8Lobj8e12BkVx8MmqSnjVR6flU3SpwjX2yRFUQasm0QigSzLhjpj+kK5alxSXzYpGAwOSBZ1DvRtQRAMsUnJ9JVsXgeiL1EUDTSj0ahBtv6+e6TSVywW6zEn6rP0eenm02Dz5s2GchobN27klFNOYdiwYaxfvx5FUbjyyiuZPXs2w4cPN/S97rrrePDBB1m1ahW1tbUcPHgwZVkQPVasWMGCBQvIz883PEv9wXPPPcctt9wyoD7Q/xOs3nTyWcPaYJ1gWL58ecqgOwsWLFiwYOHzwrvvvmvZpC85Vq5cac3RCYLNmzcbNkXqZkL9QCEIAoWFhQSDwR598/LytHpcN954IxUVFf3mO2fOHObMmcP3vvc9tmzZ0u8NjCRJLFu2jPvvv7/fvAaK3nTyWcPKImjBwucP64/uywUrO91XA9Y8fflhvahbsPDZ4FOtdStXruTVV1/FbreTkZHB008/TWNjIwsXLuT73/8+ALW1tTzwwAMATJgwgbvvvrvHPdAVC/yXv/yFCy+8kHvvvZdDhw6xePFi7dT1d7/7He3t7X32Kysr47XXXqO1tVW7r6GhgXnz5rFgwQIeeeQRzjnnHCorK7ngggtYsmTJp1FBr0g2rn4i5XpnbbBOMNxwww1KYWEhADU1NRw+fFjLcBOPx2lvbzdkDGpubja0o9EokyZN0o7MN2zYYMj65Pf7sdlsWsabSCRCOBzWsurIskxnZyfTp0/XaK5evbpHdqXs7GzN/aK9vR2Xy6Vl6gkGg+Tm5mqFTQOBANu2bTPQaGpqQpWzNzlGjhypZXnatm0bkUhEa3d2diJJUkrdhMNhw1eP1atXk5OTo7kstLW14fV6U+rmnXfesV4Kv/yw5uirAWuevvzoMUfHwyZNnDhRsxfHYpOCwSAzZszQaL7//vvk5x8tSdkfm5STk6PFiCSzSeZx92WTtm/fTjgc/kxtUiAQALriX1TdJLNJl1xyiaKvr7dq1aqUsrS0tJCVlaW5vanxLMXFxQAcPHiQ+vp6LQOiJEkEAgGDzs00I5GI4VRh3bp1hkyO5nkOh8NEo1EtO2QikSAcDjNt2jSNhnmem5ubycvLM+jL4/FoLm2BQICioiLtBbulpYVdu3YN+N1jzJgxGs0tW7YQj8cNz1IikTDoxu/3G2i8/fbbn8ta97e//Q273c7555//qe45nv2+YrDStJ9MuOaaa5i7aBG8+CK7zz6b23W+w4DBDxhAX/sCwO1284tf/AL39dfD4sX8s6yMp00Bkea6AR4Tj5KSEh4PheC55+DWW5ml85UHDDUi1LaepqIoXHLJJVy/di0sWEDT5Zfz792LrL6PHuaMNR6Ph3vvvZfh8+bBwoVUT5jAT/Pze9yjh1k3mZmZPP7443DVVfDnP/NmUREv6lL9muOv1N8sWLBgwUIXrrnmGuaGF8KWV9g9/Wxubzo2m6Su11dffTWtra2Ge/qySYMGDepay7sxa9Ysw/X+2KSLLrqIm266CYCtW7dy1113pRx3Mpt0zz33aC/v9957Lxs3bjTc37dNyuDxnz8Ib14Pu97kzfFFLKg7miI8mU0y00iGM844g3vHH4BNC+DUW6haY9SnWTaHw2H4zel0csstt1BVVQXAggULWLhwoXZdURRD/HMymi6XyzBHl19+OeFwWGub45gURTHoS1EUhg8f3uc8m+UwPztXXHEF//7v/w50bTQfeuihlDTMcni9XubNm6dtNu+44w52795tuMete59RFMXQ/jxx4YUXHpd7jme/Ewm2vm+x8JXDggVQWcnI5cuPqbvtn/+E11+Hykrm7tt3bGOYPx/OOKNrk3UMsMdi8PzzUFlJwZ/+dEw0XNu3w//+L1RWMuOjj46JBk89BYsWQWUlF9fVHRsNCxYsWDiZseVlGFLJKP8yLi05gs06eOw3it0hrhq0h5+N/oDXJi6Bx3Lh48UwpJJLS+sY4uk8Pow2LYAhlfDhfP5v5kYeHv0BlxbtI8cZPT70LVg4yWBtsE5EfOc7sHo1h3Ruev2FoCg47roLzjoLVq/mnREjBkxjcCAAHg9UV8P48QPuDzB2+XIoL4fVqwnMnHlMNHIfeQSqqmD1atZPnDjg/pmxGPziFzBzJlRX89eSkmMahwULFiyc1Dj1Vjiylpq00zkzv4lHx66hwBXuu99JjPEZ7fxq6jaeGFtNtiPGW41l3LbzXJgXhdNuhyNr2RbI5LFxH3BZ0T4+tQfZqd+BI2vhlFu4d/M43m4sY6i3k2fHv8evTt3J9OyGT8/DgoWTCFYM1gmGM844Q7HZbNy/ezeb09N5Kz9fOwJX04vqj9nj8bjhiHxqWxt31tRw8+TJ/G39er41fjztHo92DK6mHFWPyWVZRpZljYaiKHzvwAFEp5M1ubn8cN8+rq2oMPBQU+zq0+7abDaNRyIe541t2/jF6NHMaGsDRWF+SUkPGqnagzo7eWHXLi4/7TRe+OgjHhs6lB266upqqtZUuvm3mhrGR6PMHz6cVzdv5twpU3CYdKcfdzLdfPDBB1bcyJcf1hx9NWDN05cfPeZItUnQtUYqcoIbRjVxYWkT3/mgguaILaVNisfjBvcyURT7XHfNNimRSPSgMSCb1J1CWx2nLMt92qDe2ipNURQN41ZtUnGazA/H7WdURpgFuwexrKmIhHJUVrMcg9MTPH7KLt6pz+OlPcXHZJMqKysVc9p7dexuW4KZ+S3cNKqexoibp3cN51CH06Avc8kSSZIAep2T3vQzkHk22/DjMc/m9PzJ5lmSpD6fV6fTqfEwy9Gfd481a9ZYa91XA1YM1skEn8+H1+ultqCAsYEAmZmZWsBrPB6ns7NTC64EaG1tNQRwzj5wgA8GDyYnN5dDWVlMSCT4KCtLW7T8fj8ul0sL4IxEIsiyrAVwyrLMWZs38+j06bT5fAzfvh23zUa2jkd7ezuZmZnaQtnR0WEIZs1paMCrKNQNGUKD08nsQ4fw+XxaMHCycbe0tBja5zQ08EFxMZl5eRzOzaVCkjickaHporOz0xAonUw3s3fsYMmYMciFhSg2G4NkmURurrZwdnR04PF4etWNLUkaVAsWLFg4maDaJDi67v69o5js9E/4zYy93L6+AnfG0bXbvLa3traSnZ3d73U3mU3y+/1a8ohkPPqySR0dHTidTk2OWCyGKIoDskmBQACfz6e9SAcCAVwul0YzFAoxp7CZ743czdLmYTy1rYz2YJjsXKO91svR1tZGzFvAz/bn8tjYNXQkPCxvL9N0EwgEcDqdBt0kQ74pPtksy7tNdrbLY7m48AAvztjB4iPF/Lm5AsHu1PTjcrm0mKhgMIjD4dBkE0WRaDSqJajoTV962fqjL0EQNNni8biWjKQ3Hm1tbWRnZ2ubHfOzZOZhfpaS0TS3/X4/GbqPuceiGwsnBiwXwRMUh9PTGRYKDbjfqYEAm7qz2RzOyGBYeGBuHIXhMG5Z5mBGBjGHgzaPh5JYbEA0Tmlv58O8PBAEDmdkMPQY5DjF72dTt9E4kp4+YDnciQTjOjvZphvH8F6MU2+Y2N4+oPstWLBg4WTBH+tGczCczu2jDn7RQ/nCYUPmlvK9fLtsLw/umc7/1o1BUvr/etYmeXhg9zRuGXGQId6B28v+IKHYeLNxBHfuPJMJWUEeGrMRn136THhZsHAiwNpgnaBo9Pkojg4sODU/EiFPkjjQ/SWl0edj0ABpnNLSwqasLOj+2tjo8w14g3V6eztbur9CNXq9FMRi2AbgyupKJJjQ0cG2bhoNxyDH+NZW9qSlEe0+xm84BjlOa2sb0P0WLFiwcPJAYP7BcVTmtzExo+WLHswXhpE+P0+Nq2ZEWid3bJ7GvnDWMdGpj6Xz8oFh/GDE9s80iUir5OWeLeOpjabxxNhqiqxYuhMaixYtYurUqUyZMoWxY8dy9dVXA11ZHTs7eyZYeeCBB3j99dc/t/HdcMMN/O53v/vc+A0ElovgCYbOzk7C4TAdskxBLEYoENBSnap+0PoUtx6PB1mWATijtpbVOTk0t7UhCAJ7EgkuCoUIBAIGH2VRFDVXg0QiQUZGhkZjVn09r+fkaDwO2WwUh8Os0/FU63vo09j6fD5kWSZdkpgSCPDA8OFEuvv47XbS/H5aJclAozc5Tmlo4JP0dA6HQtgiEXZLEldFIgSDQU0Xqh+0XjfqGABm1tWxKjdX43EQKA6HaW1tNfhvx2Ixg27S0tKQZRmbLDOrufkYZtCCBQsWThyoNgmSr7uPbRvGD8dv5prqycRku2Eth64Xub7WXb1NkmWZ9PR0jYYam9NqskHmdm82CbpSiHd0dPSwpaIo9krTLIeiKFotJ4BiVyffLqtjekEHv989jCVHclCUCA6HpPHQj0GFedxt3fYaYGFjNrMLGpmdtoNFhweRSCQMNMwpxlU0Nzcb0o1LkpRSX06nk+cOVXBx8SEeG1vNvG3j2dzkJNTtbZJsnhOJhBablUw/NpvNwEOSJC1+SR1DLBYzPEuZmZkaDUEQks5rKn0JgoDNZjPMs/49QZ3nqO4DrVk3yeZZ/yzF43Gi0WhK3ajvDV821NfXc/vtt7Np0yaGDBmCoihs3bo1ZZ+HH374cxrdlx/WBusEQ3p6uubrG3A6GeZy0akrXBgKhbSig9C1UL7xxhsgSTgmT+bOkhJyu+OMwnY7g44cMRQUTOajXFVVxf333w/btuE47zzuLijQiv8FWlsZ1NmptaHLRzkzM9OwcN5///1Mnz4d25NPsq+1FSEnh9xuOZp9PobbbCg6Gm1tbQaaiqLw1ltvgaJgnzuXX5eXa4Ujo+npFO/YQUZGhqabUCiEzWYzxGCVlpby3HPPQUMDjsmT+d3IkRqPYDjM8JoaTTfQ5Vvt9XoNurn55pu59NJLEd54g+ChQ59+Qi1YsGDhKwy9TUq27m4IODkYDXL92ACLG0bicDhYtGiR1v/cc88lLS0t5bqrt0nRaJTKykoeeOABoOsF9pxzzukRe2y2Sfq4mXg8zn333acVJ37hhRd48803NTlEUSQWixlisMw2SZblLpvUjSuuuIIMxc/UnACz8+oY4W3nrfoh3Lr9VCKyE5+vp25KSkp4/vnnNRpz5swxyNHW1kZOTo5BN78/NImnJmxgXWQUtW0RbrrpJi677DIA3n333aRzZI7BMsti1pcgCMyfP5+ioiKEPX/j8YVXc+9Hkzgc77rHHOOcLM7I5XIZTjrOPvtsw7tJR0cHPp9PSwaRLAZr7ty5/OAHP9DGeNVVVxl4mOVob28nKytLe/dQFIWHHnqIyZMnA/CrX/2Kf/3rX9o8R6NREomEIQbLTBPgzTff1P7/4osvBug1ni+ZbkaOHMkzzzzDlw0NDQ04nU4txkwQBKZMmWK4R5ZlfvjDH9LQ0MArr7zCd77zHU477TS++93v8uCDD7Jz5046Ozs5dOgQY8eO5aWXXiIrKyvlNVEUuf/++3nvvfcQRZGJEycyf/580tPTqa2t5brrrqOlpYWysjLi8fgXoZp+wXIRPAEhCAKCINDidlPQnalI/ae/rradW7fizM5G2LePs5ubtWttPh8F3V/o9PebadhsNpxVVThPPRWlooJ4d5YeQRBo9XqTjsFMwwk4hw/Hft99KLrfBUGg1e0mPxbrW46aGpzZ2djef5+x3V+pBEEg5HLhUBS83VmIkvXXxnH++TiHDkUoL6fd7U4ph5kOgN1mw1lRgeOaaxBNi7AFCxYsnIxIte4CvFo7lsuL95PpkLSCsuq/ZOu0maa5bbfbDTSS8e3LnjgcDq2/+rLclxyCIJDnijI7r5Zbh+3E+ed/x/l4Fs5fuHhj8t/43aQPmJnTwIrWwVxZPY3XDpcTVVwpxzYQXQiCwJFIGmv9xVxZsg9BEJLK0dv89GUfk+nHUXEZ/xuczSPjt1DmC/arfzLZks1BX3RsNpvWX92I9TWvqeZZ3Xj1Z56PdY6S9U/2vH4ZMHnyZKZNm8bQoUO54oor+PWvf204vYtGo1x11VXY7Xb++Mc/Ji2Y/P777/Pyyy+zY8cOsrKy+NnPftbntccff5ysrCzWr1/Pli1bKCkp4Ze//CUAd955J2eeeSZbt27l6aef5r333vuMtXDssDZYJzCa3W7y+4g9sssyfOtbEI/DzJmGYrodTifuRAJ3d4ra3lDY2Ajr10NVFcLq1YZrrR4PhTo3it5QvHAh1NVBVRWjNm82XGvxeCjoT/zTDTdANApVVXz98OGjvwsCLS4X+X3QyAyHYfnyrtpZW7Yckxyla9bA3r1QVUXB2rV9j9mCBQsWTnLUxdJZ3V7ClYP2ftFDOSYIKMwuauWR0Wv53fhVVGY30Cx6YeJ/QCIGQ6tw2BS++eFsfr7vdN5rKyUmJ9/sHA/8sW405+YfodA9sLjhY8VHsTJ+v28MD41axxCPlT33RIHNZuOtt95i5cqVzJkzhyVLljBp0iTauuPLzzvvPGbMmMGTTz5p2BTrceGFF1JUVATAzTffbDhF7e3aX//6V1577TWmTJnClClT+Otf/8q+ffsAWLFiBd/+9rcBKC8v55xzzvlshD8OsFwETzBEIhHNL7zRbiezo4NAIACg+YyrbYDKxkY+aW/n4IgRzK2u5s+FhQQCAe2PpcXlwtvWRn16OtB1nC1JkuZLHY/HKf3Tn9idm8uI6mqWlZURi8U0HoficfJ1bZVGMHj0S1dCFElbsIA1gwczvbqat0tKCAaDxLo3RHWCQG53LJiKeDxuaJcHAjTv3cum8vIuOQoKCAaD2hepRqeT9ECAfd1fhyRJMvjQy7LM2B07OJKZSUl1Ne+MGGGQI5ZIkC+KBPx+hG6a0WhUq6uhypXx4otsKi5mcnU1fx88mIs+zWRasGDBwlccepuUbN1VbdJ/f1LM/8zYyIKd2Xzzm9/U+ofDYa0GEiRfd802afny5ezatasHDxWSJKW0SZIk8fDDD2sua83NzYRCIW3cajyRLMuckuPnjlH7kRIKrx8aSnXLWETZRjweZ9nDi7ixqJy5cjV/PlxAMNipjTsWi2lxRr3p5uOPPzboIpbElnZ0dBh0I0kSkYiDt44Uc/XQA8yfP78rDIAud7W5c+f2mKO2tjbD6ZZZP+Z2PB7n9ttv19Kb19TUsEVOh8RwHhy5lhuaJtDW6ewxz/q6q5IkpZRNdc9Lpa+//e1vbNy4UWtHTR+Uk82zXl9qeILq6tnY2Gh4XuPxOIlEwuCGlkw3ejlaW1txuVwaD3Xc6vuMOk69bjZt2qTREFD4v4WfX5KI/mDChAlMmDCBO+64g4qKClauXAl0uawuXbqU2267zeBG2RsURel1I6a/pigKzz77LGefffZxk+GLgLXBOsHgcrmO1nTweMiXZc3XVw2uVNsAZ7e28s/CQpYMGcLT5eUEAgGyuutKALQ7nRTabPh1NJxOp3YUHI9GmdXayncrK2n2elEUBXsweDRGy+EgJx438IzH43h0xYvL/X4CDgcPVVRARQXhcBiP3a7xCPp8jAqHDTREUTS0Z+/bx/KiIl4eMYKnR4ygs7MTr8ejLc5+l4sC0Pqof8iqr3UikWBOayu/Gj+eHd0xa7ZAwMAjIQjkud1Eul0REokEHo9Hc03IC4cpDYX45umnI0+ahCiK1gbLggULJzX0NinZuit326gwXqrbirh4cBN/bjkaEyQIR2sdqX30667ZJomiSCKRoL27TIaiKIbYJvWeVDYpkUgQi8U0GqIo4vF4NB6SJJHmSHBXxX5Oy2ll/oEx/OOAm6ysbOxu8NIVM9Te3s7T7eU8TTnBYBCfz2solNuXbsLhsDYGIKkcvenm7y3lvDBlNS8dihjkSAafz2dIcmHWj7kdDAYNHzAVRcHj8bC6YxgjmkUemryfez+ahNPt0fQL9KCZSrZEIoHXa9SXfp5Vfak01ELGqcYtSRJer1frGwqFtA27el0/z6IoEje9vyTTjV4Ou91ueJZkWcblchlc/2w229F3qO4kGGmRGr5eVMuc/Hq+LKitreXw4cNUVlYCXRvp5uZmysrKAPjpT3/K73//e8477zyWLFmStJbXkiVLaG5upqCggFdeeYU5c+b0ee3iiy/m6aefprKyEq/XSzAYpKamhnHjxnH22Wfz8ssvM2/ePA4cOMDy5cuTfjT4MsDaYJ1gsNvt2oLd4XYztrNTa6tZeLQFXVGYFgiwcMoU7TfVp1ldgAIuF3m66ug2m83AY3RbG61uN4GsLFx0LSY2m027Ljqd+GQZn8NBvHvBUXmoC+eMQIANBQVan2g0isPh0NpBj4ccU5V3PQ+ASr+fl3RyqD7NWoCsy0WuTg5RFA1yZHZ2UiSK7CssxNUtu5mH3+kkX5Zp7P7N4XAYxjkjEODDvDwcOgNpwYIFCycz9Oused1VT6LU9j9ayrm/fB1/75iEjNFe6GNm9Ouu2SYlEgkEQdDasiwbrqt9zG29TTLzMNukUk8nPx2zjU/CeXx3x1lEZCc2W6uBpn4Meprqi7bdbjeMS5Ikw7jMukk2brvdjsPh0F7m9eMO4WJ9ay7nDWrin/4xmm6SQd3UpdKPma9ZX+pYX28cx0Mjq7m2rIY/t1RofeJ92HCzvlTZ9PrSz4EkSYY+8Xi8z3Gr82zTeaHoaUYiEUPb/Cwdi26i0ahhHmOxmI6HwuTMVi4tPkBFVifLWwfz4J7p/J4vB+LxOD/96U85dOgQXq8XWZZ55JFHmDp1qnbPvffei9frZe7cuSxdurQHjXPOOYebbrqJ/fv3M2bMGJ566qk+r/34xz/mwQcf5PTTT8dmsyEIAj/96U8ZN24czzzzDNdddx2LFi1izJgxnHvuuZ+9Io4R1gbrBIbf6SQrRdzQsGCQkN1Oi+5rTDIa2SloTNHVrEoGRRAIOBxkiiJtpkVcxSl+P38cObJXGgGXixyp94KGGaLI4FiM3brsSmb0Jcfktja2ZGYi93J8DeB3OMgSRRp7uX5KIMAWXUV3CxYsWLDQfxyIZNEYdTMtu5EP/IO+6OH0gIDC3PwjXFfyMf+9v4xVnaO/6CGlxFu1g7hn3F7+6R8N9G7bjidkbPxsxzheOH0Tu2OFbA/m993pJEOhO8Lcojrm5NVgQ+aNwyU8dWg6ovLZxeUdC4YNG8a//vWvpNf07p533nknd955JwCvvPKK4b6ioiL+8Ic/JKXR2zWn08nPf/5zfv7zn/e4VlpayvLly/srwhcKa4N1giEcDmu+vo2KQkY0it/vB7q+5EmSpLWnHD7M+1lZWhu6vlj4/f6jMVg2G55gULsnFotpdUcAZjQ08PyQIQYeoigaaLY5HAgtLfh1cVyqH3SuKDI8FGKt00lCx0NNgwtgE0WyYjEDTb0clY2NrM/IoKWjQ7sei8VIJBLal6pmQWB0OKz1Ub9+qTxOr6lhVWZmrzwAWh0OHO3t+Ltpqr7/drsdpywzra2N3+h0IaXYFFqwYMHCyQC9TTKvu2abBPDGgXwuHbaXpQePpivX2yT9ugs9bZK67qr/TcbD3DbH5qg81Npaoigy2tfK90YewSHI3LlhLJ8EvLhcvdNUx63CbJOSxeb0pZtkbX3MtFk3jTEX4mgYYTvExrbsXm2SnmaysZv5xmIxzVtFz1eNgRJFmYe3lnP/xE38v/VTCEbsmjtof/WluueZY7D0+lLvU/VlfvcYqL7MPOLxuDYPn043IoPsrczIb2dmeQvD0qOsasrj1x8P48OWdKR4ArfbSg5yosHaYJ1g0B+pBzwe8nTH8rIsU1BQwE033YSQSHD2bbfxvcJCw/G2KIqGVJvtLhdDdDTi8Thf+9rXOPXUU8k4eJChW7eyNTdXu64oSg9XgDankyJF4Uj3b+np6Vx77bWkp6czcvFi1jc0oLjduHQ+9foj9RCQE4/jdjpRuhfGtLQ0br/9dlAUZt53H0/pXAzVcbpcLm2Ra3e7yde5SyqKwuTJk/n617+Oy+9n5q238mh5eQ9d6NvtTieF3f7U0OVPftlll1FaWkrpqlXUHzyI3+cz9LFgwYKFkxl6m6R+9dbbpPz8fG6++Wbt/icf/Tl3jq9jYl6UT4KZ2jqsT0zgcrkMNatUmwSwc+dO3n777ZQ2yby2p6enc80112jJDl555RVaW1vxOm1Mz23h/KIahqdF+N8jZSxtGIQYT2Cz9aRx2223ae1HH320h03Su46pbb1uJk2axHnnnQd0bXrmz5+fctxm3Xi9Xi699FIGDx4MwN///ncWHfFzXVkt2zoLe50jm82mudMn46PZ2248/fTTWpp0vSwqDVmW2ejP4+8NMZ6cupM7N00iI38Y11xzjUbjl7/8ZUrZzPMsyzLf+MY3mDhxIoJFuv8AACAASURBVAAbN25k+fLlhmcpoQsDSEYzPT2dG2+8UXOJfOGFFwgGg4Z4Pv27hyAIPZ4dsy7MckiSRJrHzsiMCGPSOxjpa+P0vA7iio0N7Xn84eAQKJ/LmRfN5RxgXF0dr7766gn53vDggw8e07UTBdYG6wSDvhBfQBTJF0V8Xi90LxQFBQVcvGgRvPYalJayOzOTHF2QbCQSMQSB+n0+Tm1t1QJpRVFk6tSpXDx/PixdSltFBQ6PR7suyzKxWMwQeNvqdjMIDL997dxzyT/vPNi0iWBZmaEQn7pYq3LE7HbCdjtFDgcd3fe43W4unjkTTjsNDh7k9KIitunoq8Gq6sLp93opkCTDOEeNGsXFL78Mb72FOHYsUZ+PTJMuzHIUy7L2m6IozJo1iwm33grV1eweMwaXy6Vd7y1bjgULFiycLNDbJDUeSl9MNz8/XyvOCvDEE0+wqGE0N5cf4sE907V1WL/BcrvdhriuyZMnazR8Ph/Lli1LaZP0a7sNmeHeIBeNipO58b+gaRtTxuXQEobR6R3sD2fx99pC3ttVisOThscHQnddRj1Nt9vdQw5fEpukbqgkSTLoRlGULpvUTaO+vp4XX3yx13FDV3yP1+s1JJuYNWuWtgnZuXMn7+4dzPXldUwrCrOhKXmmN3NyAjMfwCDb/PnztfpN6py4XC5Dgg6Hw8GfWioo9G3n0Skf84o0yUDj8ccfN/AIh8Mp9ZVIJDj11FO1DWg8Hqe6utrwLEk6G59MDkVR+MY3vkF6tzfN4sWLtXlQeernpCsmy05Jpp0Cd5gsh0iGx87F7b+Ggyth8AyaR9WR5XOS44xR6A6TZw+R55GoiaazN5TF9tZsFtWPopVcQCAYDHL1uAmaLnbt2sXChQt76NvCVx/WBusERtThIC4IpEkSITX5gyx3ba6qqmDtWhg+PCWNFpeLPFP9qIwjR2DpUqiqInvNGiguTk3D6STPlD7V8+KLsGkTVFVxWnU1pIjBAmhxu8mNxbQNFooC//EfcPAgVFVx8erVvDRAOXzBILz1FlRV4Vy7Fgp7/8Kn0phg1sW770J1NVRVMbK6GkpLU9KwYMGCBQup8U7LEK4o3svYtDaqW/u+f6BwCjJVOV0xMBMzWmkWvbh3vQ5NH8HQKgYfWs3zdVM4KBbSEXfR0dGB02n7Sr4wJRQbC+tH8x8lu9nQNOVz5i7w/OEJ/HD4h9yQ8S+QE2D7csUZ6eEUZCZk+hmfU8/ItABlHj+DPBFisp0m0Ucg7kLCBQfrYOhMOFyNXRhMKOGkNppGU+tg9rdIhJx5KLbuZGMdHd2bT+uD68mGr+J6YSEF9GlYRVGk2eUiPRCgJT2deDzOqK1bieTm4l6zhiPnn0+itVXzM4eur0SRSET7WlgvCORGo9o9kiSR/9//TdvYsWSvWcPmadOIdX/Ng66vhfF43ECzyeFgdGen9ptTUXA8+ih1Z55J8erV/HP4cKLRqOafrdYDMcjhdJIRCBDp/po1sqmJUE0NLd/4BkOWLuXNoiIDT9V/Xj3BahcEskWRWDiMLAiIosjQN9+kY9gw0tesYc/ZZyOFQkl1oaLR4WBWR4f2myLLpD/+OI2nn07BmjW8N26cQRex2OdT5NGCBQsWvqww2yT9yX48Hqe1tZV//OMfht+C4RivHRrGNYN2surAKINN0teigq61fsuWLdqpw0cffWRYh1UXwUgkgl2QOb+ojm+NP0BtNI1/NQ7i5zvHEpZdfHvq9cwotDHk8D9Y2lrG+/UZuFwJIJLUJpntXCwW6yGH2SaZU4LrEwXEYjH27Nmj0Whvb0cUxZQ2SU3xrZe1urqampoaAPbv308sFmNpTQ5XFu1mcnryFE16msn4AAbZwuEwgiBo9lWVRZVHkiRDxsKHt43i6dN3U/Ps19le9n0Um6MHD3M7mb42btyo8VDnWUWydw8zTUEQWLZsmXbS1tbWRjZ+Zmb7OT2njUlZ7RwOedkTymJjayavthVQE/agOI+e/Nntdl64dApDDv+DI4Xf4PmlrYYaUJ2dnXg8MRyOLvnV+l963Xz88ceaPuvq6gzxfhZOHFgbrBMMiqIYDEGDy0VBJML+7uPnGXv38lRpKSumTIFIpEfgqboQqItBo8NBrihCPI5ss+GVZUbu3Mk1Z5xBR0lJl6HRGR+1r3kMM9vbtd/G1dSwG7jb4YDZswmFQjhNfczjanA6KYxEtN+qDhzgj5mZLIxGYfZsgsEg6br7ZVk2jCMuCPidTnIjEZo8HlAUpuzYwd1TpnBwxAjkeFwLaO1Nl/UuF4W6jWBJSwtiSwvXjh6NMns24XAYm6mPBQsWLJzMMK+j5rW9rq6OJ598ssf1f9QXcdGgGi4obWalP12zSea1XRAEli9fTnV1NXB082O2SeW+AD8avYuOuJN7N47gcOKo50Uo1MFzzz3HCzYb0G2TnKnHbW53dHQklUOFedzJbOXmzZv55JNPtPuT2edU9jocDvN///d/2sYnHA5js9mIy/D7fSP54ZhPks5RNBo1xACZ+XR2dhpkU10T1XtkWdb+JZM/LgvcWT2ER2NbKNh7PQ9/PKGHbCqd3vSVSCT4xz/+wbvvvgscnWfVhTDZGMxyhEIhfvvb35LhjHNWfhOPjKhjeHqED9ryWdZYyINbhtGZMIYriKKIz26c55sWZwCzgeTvUHpZ1DHo71m3bh0fffSRJpf53cPCiQFrg3WCwe12G3y6m9PTGZZIsD0tDXssxtTOTn4zZAi+7kUpEokYvr5Eo1GDv3sikcDvdjPcbqfR56OioYHdGRnEs7Lw0WXcnE6nRkPN5KOn2eDzUdrQoP12ZkcH6wYN0nyOVZ96dVFTCwpqMVixGE3p6QyJx7toKApVgQAPjh+v0QiHwwae8Xgcn8+nGZp4PE6D10sZEEpLoywYRLbbaSoowNcdnxZX6et0oW83+XwMikZJ8/lAEDjzwAE+KCrC232PGlCrjsn6ImXBgoWTHWabZI7BSiQSPeJm1HX3t4dP4eGxa9j78Qja40eL3Xs8nh5xM/rYV6NNSnDZoINcV17HSzUVrGgtpTXURl7e0bVdLR6rjynqyybZbLaktlNFMpvk9Xq1DYEat6QvWqsvttsfmxSLxQwxWMl043Q68fl87IilsSPYREmSOcoxlVox8zHLphY4NhdNVk+GzEV/RVEkGhX45YEZ3DRkJ7+bupkfbBhF1HeUh/ldpC99KYpimPf+6KvE2cZ1o+o4I6eBrR35vFEzhK2hEmzOrnFHCOD1mmOwHCl1YR63Ggc2EN0oimKgYeHEgK3vWyx8lVHv9TIoHAZgnN/PPp+PsK6ieH9pFHXTOCUQYFNu7sD6ezwUhcMI3V92jqVeVJ3Ho8kxKBxGAGoGuCDVe70Uh0IATPX72ZSTAwNIRBFyOBBtNq2e1lS/n80D1IUFCxYsWOgfDkYyebOmiO+XfYRdGPgXfp9d4j/Lt/L1Qc384OMqVrQO5vOqB/VlxLP7v9i6XTICC46M5+2m4Tw3fTtn5tYCSp/9Pg0cQoLp2Q08NGodvz51Jw0xH9/ZfjaP7j+N6pZ84or1Gmzhs4F1gnWCweyCcMDr5fS6OmRZ5rSmJtZnZfU4hk/W1sdUHU5LY2ggwJacHCrb2vh5RUWvrgHJjsNDgkDA5aKwsxMB8CUSHEhPR9Ad/aeiocox9PDhLjkaGliXlYWsKF3JLpLIYaYpyzKH0tIY2tGBLMvMaGnh7dLSlC4OydpH0tMZEggQycqiIhjk59nZvdKwjvwtWLBwssNsk/QuVf1Zd1/cU8Kv8w7y3aFb+dWBSSQSCQPN5DYoQVV2DTcP/Zj17YXcsnYc6TkeQE7Kw+yO1pddM8vRG82+XN7M9iLVGJLRNOsiWdtut2vtDin5K18yV72BvieY59ksm769pHEom+pk7pu8l3PzDvPcofE09UNfep2bXSz1PJ1CgkmZbUwrPsBZxQEOhDNY3jKYN/eUkZ6d1z1uuce4ks37scyzXjfmOUmmm2Tukha++rA2WCcYwuGwVuwvHo+zPzOTEbt3k5OezpzGRm4fOdJQFC+RSBjasiwTCAS0tsPhoCYvj4qODg7LMk5gi92Oo7uPujCohfjUgGI9Ta/Xy5G8PCbG45QGAqzIzcWvK+ooSZIhOFWlpS+4eMTnoyAapcjn45zGRp7Jz+8xbnPxv46ODoPrxJHcXM44dIhhTidjOjv5gdutFTeWZbnHuM268fl81ObnM14UGdrRwebMTBqjUWy6Apf6gpf6IF8LFixYOBlhtknp6elkZWUBXWtme3t7ynVXjCv8eGM5vz51J7eWbOT3kVF409IM7nrBYBBRFLELCjNyW7hpZC2CIHD/5lFs82d0rc0mm6SOAaC1tdVQgFaSJEPigWQ2yel0Gmg0Nzf3aZP0hYZV10g1RbqiKLS2thoK5/bHJmVmZmo0/X4/wWBQa/fXJrW0tBjqYJlla2lpSVmYOZm+srKyNBrRaJRAIGCg0ST6uKF6ApcPqeeXY9f8f/bOOzyqKn38nzstlfTQCdXQQlUQJCwgRdZlbaCrK1Z2XRTr2rD8EMW2rq5iwdUviu6urK6riwrqLliQKr2EJi2E9GRCMplJpp/fH8O9zJ3MTBII1fN5njx65s59zznvGc57zz3ve16+SUrlf2X17KhJBAJunomJiZqbZl1dHXV1dbq+qCEJRsVPl4Q6Lu5QTW6bXQxIreWAPZ4fKlsz89AIjniPppnxH9AlrVb1E6yv4ETDqstlc8Y5VDcQ+L2pOdZ8Ph9HjhzR/ZZCx1lybiAXWOcYCUGGx263c9EVV5CUl8c/Pv4Yb+vWlKSlkRaU88JqtZIW5OZmtVpJTU3VnUo09qGHyL76akbl53O4Y0cSW7XSxRn5/X5dDFZ1dbVOpqIonP/AA5z/2mtw4ADftWlDSkqK5qNss9l0/u6BI3H1/u79+vUjJj+fdz/5BFq1YktGhq6OyspKXbmmpoaEhARdsO+Ye+6h7+TJzPv8c4506IAlNVXn726320lJSYmoGyEEY+bMwXLvvVBaysZ27UhKStL83aurq2UMlkQikQQRapN+/etfc++99wKBXE/XXnutLg9TOJsUl5TGMwcv4veddvDehZvwXfQwHZw7Ydcn7OjVh892+RiY5mB4aikl9TEsLOjGZmdnMCqkpoa3SQsXLtTKl1xyCUajsVk2qW/fvrz88suajNzcXF0sUzibFB8fr8UUORwO7rnnHsaPHw/ARx99xPz587VYnabapAULFmjtuv7666msrNRsUk1NjRaDBZFtUuuQFCVxcXE6/YwcOVLXjurqalq1aqXTV3CcUW1tLVdffTW33XYbEMjHNWPGDC3/lNqX5NR0vrGns3FnD0bE72HWgAMowIqq9hQ6E7n2D7fTsfQLyPuQTT168/qWBNLjIdNST4pSQ7tYJ+cl1dElrpZydyzbqxJYYevGa4UZ2H2BJMWLFi3S6hw7diyxsbHagspms+li1mpqahrkwRo2bBhPP/20JiN0nEPHJFQ3brebhx9+mNzcXADmz5/Phx9+GBKf5myQi0xy9iMXWD8HbDYYMQLj6tXQs2ezb3d37gz19ZCbS4dVq+C885rfhuuug/vug9xcfrFqFX9uvgQoLoYRI2D1avzHkcTXFx8PXi/k5pJ8nLrwT5gApaWQm8vAVavgaEJHiUQikZw8HD4zr+QPZFCrcv543jo4/CVk5dKnYCXW9Ez2OTOYuXs4+6uNR1/6/Xxjrc42qr2xvH+gA0ts/TkvoZphKWVcmFJKxqbnwLoVsnIZdGglT/SOp95vodIdR5HDxMG6RFbZOnOgLplad2BhF3pgh0RyupALrJ8D06fD229jnzo1kJj3eLjtNnjnHTYNHXp897dpo8lYcrzJeKdPh7feCvx369bjk/GHP8D8+ewbOxaOx+c5Lk7rx7Lu3Y+vDRKJRCI5LjbZMikc+jwpbbrAxrfYZBjGk7vig052k54DZy8Kex2p7HUEFkkv3/UyPfa8DBvfYq1/MP9v4zGvE4fDgaIoQePuPU1tlkjCowQnupOc/QwbNkwE+3gD2va3GisV7Gvt9XoblI1Go+YiqF4P3u4GdEeQCiE0GWpQaLBM9ZhSFZfL1aAORVF0MoPrUINdQ2U01g+DwaC5Aqj9Ck6M6Pf7tbIadBpNpnpUb3Ai4dA6Qvvx448/hnuNKv/RnVnIMTo7kON05tNgjM5Gm+TxeDAYDBFlngybpB5ZfzpsUvAYqfep7pGR+taYvtTj8tW+NGWcQ8tms1nry8l69gjWV0s9e4TqxmQyNUjKHFxH6DivXr1aznVnB1G3yeUO1jlGYmKizt89NOdIOJ/u9KAj01V/YnVyCPVRDhdn1FgMltVq1dV55MgRkpKSmuXv7na7tSDRcO2urKzUlUNjsEJ9q49XNykpKc3SjUQikfyckTYpQGgMVqhNcjgcDfJgNaabqqoqkpOTo8YUNSUGKzMzU1cO1U9ovU2JwWqYB8vZINbuRPUVvIPl9XobuAiG9qOqqoqUlJRmxWAF/5bCtftk6EZybiATAEgkEolEIpFIJBJJCyEXWBKJRCKRSCQSiUTSQsgF1jmOmn9ERc3noRIuwWAwql946GfR6gi9HipT9Z0OLgffoyiKliNCJbQc2qbQWEI1xiq4DaF1HI9ugusJ1Y2iKA36LpFIJJIAp2reDa4j3PUTtUnhbFSozFCb5PV6dd9Rc0ZGajc0rptwtrkxex0Oh8MRVW6454LQhMehY9JcfTVWhxBCp4/Q35KiKE3SV+hvKVQ/aqxXuDpUGc1p9/HoRnJuIA+5kEhOPfIf3ZmFDCg+O5DjdOYjz0aXSE4Ocq4784g638kdLIlEIpFIJBKJRCJpIeQCSyKRSCQSiUQikUhaCLnAkkgkEolEIpFIJJIWQi6wJBKJRCKRSCQSiaSFkAssiUQikUgkEolEImkh5AJLIpFIJBKJRCKRSFoIucCSSCQSiUQikUgkkhZCLrAkEolEIpFIJBKJpIWQCyyJRCKRSCQSiUQiaSHkAksikUgkEolEIpFIWgi5wJJIJBKJRCKRSCSSFkIusCQSiUQikUgkEomkhZALLIlEIpFIJBKJRCJpIeQCSyKRSCQSiUQikUhaCLnAkkgkEolEIpFIJJIWQi6wJBKJRCKRSCQSiaSFkAssiUQikUgkEolEImkh5AJLIpFIJBKJRCKRSFoIucCSSCQSiUQikUgkkhZCLrAkEolEIpFIJBKJpIWQCyyJRCKRSCQSiUQiaSHkAksikUgkEolEIpFIWgi5wJJIJBKJRCKRSCSSFkIusCQSiUQikUgkEomkhZALLIlEIpFIJGcFiqJcdbrbIJHjIJE0hlxgSSQSiUQiOWNQFCVOUZQXFEXZpCjKdkVR9iqKMl1RlBhg1smQ3UJNP2koihKrKMqbR9u7XVGUt09BnWfNOCiKkq4oypeKouxRFGWboiifKoqSeSJtPI42vKgoykFFUYSiKDkh17IVRVmjKMpPR/973qlsm+TUYzrdDZBIJBKJRCIJ4lWgDhgqhPAqipIEZAJDgI9PkuywKIqSL4TocoJ1tgQvAE4gWwghFEVpcwrqPJvGQQAvCCG+P/r9PwPPA9NOsJ3NYREwF1gR5tpfgTeEEP9QFGUq8BZw8Slsm+QUIxdYEolEIpFIziR+BfxOCOEFEELYAJuiKFOAf5wM2SciUFGUl4B4oAMwEMgDLlPrOFEURUkEbgQ6CiEEgBCirCVkN8JZMw5CiCrg+6CP1gK3q4WTPUZH27DyaF26zxVFaQ0MBsYf/eifwOuKomQKISpaqn7JmYVcYElOCYqixAFPAuMAMxALvCSE+OtxyEoH/g50B1zAPuAPcqKSSCSSc4LPgX8rirIU+Br44OgDuFMIcSj0y4qi/BvoEUHWcCFEfRNknwiDgErgasAD7AL6ANui3dSMdncHrMATiqKMAezA4+oD/UnkbBsHtR0GAourz4M+PtljFI1OQJEQwgcghPApilJ89PMz5rnl008/5aqrZGhdiyGEkH/y76T/Af9HYOvcdLScBHQ/TllpwOig8p+Bd053H5vxJzmzkGN0diDH6cynJW1Gb+A+YDOwEzCcKtkEHsy3HP1zB/3/hgjyqoCsoPIBArtNLdXe8wm4wP32aPlCoBxIakmdn+3jEHTfGwTc9QxBn53UMQqpPx/ICRm/HSHf2QkMbobcFqGurk48+OCDYtCgQSInJ0f06NFDvPnmm8LpdIoBAwackOz7779fdOnSRQBi+/btYb8ze/bsqNebKu+LL74QAwcOFAMGDBD9+vUTn3zyyQm1/TiJOmZyB0tyqmgxdwDRiCuARCKRSM5uhBC7gF2KonxN4GE0AagN993m7jI0JlsIcVmQ7HwhxMBI7VQUpStgE0IUHC2nAAlCiEJFUZKBl4HxQohOJ9DuQ4CXgGsZQogfFUWpBLKBDZHa1hKcLeMQ9L0XgfOAXwsh/Ec/OxVjFI3DQAdFUYwisHtlBNof/fyUcvfddxMfH8+6deswmUzYbDYqKipYv349V1999QnJvuKKK7jnnnsYOXJk2OubNm1i7dq1ZGVlnZA8IQQ33HADK1asICcnh23btjFixAiuuOIKDIYz5+w+ucCSnCoadQc4noksgiuARCKRSM5CFEW5FFguhHAcfRC9HvheCBH2oR5ACDHlZMluAoPQL3LOBzYdbVcNcKuiKMtOpN1CiEpFUb4jEMPzP0VRsoHWBNzjTwpn4TigKMozBPT/KyGEK+jSSR+jaAghyhVF2QJcRyB27TpgszgNYQ1Llixh/vz5mEyBx/+kpCSSkpL497//zdSpU09Idm5ubsRrLpeLGTNmsHDhQsaMGXPC8gwGAzU1NQBUV1fTrl27M2pxBXKBJTlFCCGmK4oyF5gI3AbcpShKjvqG6eh3jmcie42AP/rrLdNSiUQikZxGfg28qihKPeAHVgMn/JB7EmUPAjYGlbWH9xZmOvDu0cMaPMANQojqk1CPylk1Doqi9AUeBX4CVh89aOKgEOJKTtEYKYryKnAV0BZYpiiKVQjR9+jl6cD7iqLMAo4QOLTklHPZZZcxZcoUxo8fz8SJE7n++utJSkoiNjaWzp07N/j+lClT2Lcv/Dp+zZo1xMXFNaneWbNmMXXqVLp27XpC7YfAISL/+te/uPzyy0lISKC2tpYlS5acsNyWRhEBX1CJ5JShKEpvAu4AScFvrJq7g3XUFaA/AVcAV/jbzkjkP7ozCyXMZ3KMzjzkOJ35hBujnz2KoiwTQow73e2QROYsGKMWm+t27drF119/zd/+9jdcLhd5eXktuvvTpUsXFi9eTE5OIBXYmjVreOyxx/jmm29QFKXB9ebK83q9TJw4kSeffJIRI0awatUqrrvuOnbu3EliYmKL9aMJRJ3v5A6W5KTTVHeA5uxgRXEFkETg448/5tlnn0UIgdPpZPDgwSxcuBBFUaitrW0wMc2aNYu+ffvym9/85pS07+abb+aCCy7gzjvvPCX1SSQSyclGUZQ3gF6KovwV+JMQ4uDpbpNEz89tjHr37k3v3r2ZOHEiffr0weFw0KpVq7DfbYkdrOXLl7N7925t96qwsJBLLrmEBQsWMGHChGa3f8uWLRQXFzNixAgARowYQUJCArt27WLIkCHNlneykAssyamgRd0BGnEFkIShpKSEO+64g02bNtGpUyeEEGzdujXqPU899dQpap1EIpGcmwghZgAzTnc7JJH5uYzRl19+yahRo0hISMDn8/HBBx8wevToiIsrgH//+98nXO/MmTOZOXOmVg7dkbrxxhu58sorufLKpj3CdezYkcLCQvbs2UPPnj3ZtWsXpaWldO/e/YTb2pKcWRFhknMSIcTtQogeQoh+QogBR8vWE5C3QwihCCF6CiEGHv2Ti6solJaWYjabSU9PBwI+zAMH6g9k8vv93HfffVx33XW4XC5uvvlmXn89ENo2e/ZsrrnmGi699FL69u3L5MmTtQDTaNfcbjcPPvggQ4cOZeDAgdxwww3Y7XYAioqKGDt2LAMGDOCKK66gsrLyVKnjrGbmzJnk5+dTU1PDrbfeSqdOxw6+OnToELNnzz59jZNEZfHixQwaNIiBAwfSv39/Pv30U931f/zjHzz44IO6z5588kkURSEvL++467VarVx66aX07NmT/v37c9VVV1FRccak35FIJKeAL774ggEDBtCvXz8GDx6M1WptkQWUyt13360tfsaNG0ffvn0bvwnYuHEjHTt2bLK8tm3b8uabbzJlyhQGDBjAtddey4IFC0hLSwPgd7/7HZ9/Hjj3rLi4WPes89e//pVZs2adaFebRmPnuMs/+Sf/WvzvlOPz+cTll18u0tPTxeTJk8XLL78sKisrhRBCAKKiokJMnjxZ3H///cLv9wshhLjpppvEa6+9JoQQ4oknnhBt27YVpaWlQgghbrnlFnH//fc3em3OnDlizpw5Wjseeugh8eijjwohhLjqqqvE7NmzhRBC7N+/XyQmJmr1nWLOiDFqCtXV1eKGG27QfTZ27Fhd+frrrxc2m+1UNutUcdaMUzj8fr9ISUnR8rls3bpVJCYmCp/Pp31n8uTJYsWKFVp548aNYuLEiSIrK6tJeWMiYbVaxXfffaeVH3jgAXHrrbcet7wonO65Vf7Jv3P175zEarWKcePGne5mHC9Rx0y6CJ5jvPrqq2LAgAEA/PDDDyxbtgyLxQKAz+fD6XSSkJCgfd9ut+tib8xmM3/84x8xm80AvPTSS9TW1mpHejocDsxmsybT7XYjhCAmJgYILNjj4uJ44IEHNJmPPvoo8fHxWtnhcBAXF6cFVdbX12MymbQ66+rqGDduHBdffDEABw4c4N133yU2NlaTUVtbq9vWDi1bLBZuvvlmWrduDcB7773HgQMHtHY7nU4MBkNU3cTExOjeJj/++OPExMRw1CWR+vp6zGazppu6ujqMIdGn9QAAIABJREFURqOmC7fbzfLly8+IoG+DwcCiRYvIy8tj+fLlLFq0iD//+c9s374dgIkTJ3Lttdfqxi2USZMm0aZNGwCmTZvGXXfd1ei1zz//HJvNpr0lc7lcqL/P7777jldffRWAbt26MXbs2Bbu9dlLVVUVffv2paSkRPf5ypUrG30rmJ2dzZo1a47Ltz2UJ598ktmzZ7N9+/YmBySfrdx///3U1dVRVFTEli1byMnJ4fPPP9f+fbcE0Y4WdrlcbNq0iYsuukgrN/dY40ikpaUxevRorTxs2DDefPPNE5LZVObOnSvUN8grVqxg6dKlUefd0Lm8MZsUbt4NtUmxsbG6ubwxm1RXV4fZbNbqrK+v5+KLL9bmqIMHD/LOO+802ybddNNN2jz5/vvvs3///mbZJIvFwkMPPaSV/9//+39YLBbNJtXV1WGxWJptk+6++24xefJkrTxz5kzdc0FoX0L1JYRgypQp9O7dG4ClS5eyYsUKrS9erxe3263TeahMk8mkcyN7/vnncblcGI1GrS8mk0mT6XIFQq/Vvvn9fpKTk7nnnns0GY888kiD552EhISoNvzSSy/VjgfPy8vjo48+0uoI1+5w4/z73/+e1NRUAN566y2Ki4t1vyWj0RhVN0uXLj0jnhtOBWlpaSxduvR0N+OkIBdY5xh9+vRhVOmrsGcR7ZLGsNxs1oyA1+vF4/HojILD4dCVhRCMHNKPmL/9Ao7sw9m1G3/Z3U1nBEwmk3aPEAK/36+V/X4/iYmJjKp8C/I+hP43YDAYdHXU19cTExOjTZxutxuLxaIzAt26dmVU/pOQ/z19sq7gb0F1hmu33W7XlQGGDupH56VXQ8VOTO378cThDJ0ujEZjVN2YTCZGDeoO744E22H+2KsN75QM0iZntd3BujEH6VuIM++As5ycHHJycpgxYwZ9+vTh+++/B2DMmDF8/fXX3H777TqDFAkhhKaHaNeEEMybN09bLEuaxvr168MG69psNlJSUqLem5aWhs12XDm8dTQ3KeTZzubNm8nIyODjjz/GbDbTu3dvdu7cSf/+/aPe19Qg8MaOFl62bBmjR4/WHlqbcqzx8QSg+/1+3nzzTS677LIwd7U8ffv21WzSeXH92JcUh5UkoOk2KTc3V/vsrbfewuVyRZ13Q21SQkICo0aN0mQ21ya1opbcNrWM2vMAlGxkUOvhrEh2U64kox4k1hSbNGTIEG08v/zySwoKCrTv+Hw+Xbsi2qSgfqiLJ/U3E2qTXC6XTjetjO6wY9ShQwdGHXkPtr4PnX/Bxe2OIGKh3BVPmTuuQd+cTmcDfeXk5GgLk71797J27VrtHrfbrRuTcPry+Xy6vs2dOxchhLYwCe2Lz+dDURSdvpKSkhroJ7iOurq6RvXVo0cPTYaiKHz66adR262W08xO2sU4SDJXMyblAMnb3oKqvbTp2oG/ezOoNyRQUN8Kj8eke4YKpxvJuYFcYJ2L7FkEnS7ivIJvgOY92MYbPZg/GAdVP0FWLuP9K/kL3Zolo3usFfKWQlYubPsbneIHU0v0h8JQcmxfwpHvICuXjIL/YFZ+0az7TYqf1t9Mg/I8yMpl+KGVQPN2SNpa7PD2BeAog6xcLvOv5J2SQc2ScaZQVFREQUEBw4cPBwKn+FRUVGjG/oknnuCNN95g4sSJLFmyhKSkpAYylixZQkVFBZmZmbz33nu6t+qRrl122WX85S9/Yfjw4cTFxVFbW0thYSG9e/fm4osvZsGCBTz++OMcPHiQb775hnHjzuRTck8dGzZsIC0tjQkTJnDgwAHtxMc+ffrwwQcfaN+bMWMGu3fvZvr06Tz88MN07dqVvXv3nvCOR0vunpwtbNmyhS1btmgP1R6PB5vNxrRp03C5XKSkpGgxicE0NYbB6/Xy3HPP8dlnn2lHC//mN7/Rjhb+7LPPuPzyy4HA4mj9+vU8//zzUWUeT/zEXXfdRWJi4qk9rfOoTWpXsJI/94uh1hfDt9aOLC5pj/3UtaJZKAhGpRUyPuMwXeNqqK2tBdcuyBpBq4KVPJUTC8ouvrd2YEl5F447qPikIxiSXMYlmQX0TYzSym1/h6wRcOgHJrRNJT2+gnYxDgyKIO9IAgfcbdhUk8mB+oa24edIuxg7Q1PK6dqxjP6pDmIMPgqdidT6LJhL10PVXsgaQc9DK7m8XT3pMR46xDo4XBfHbnsyP9Vnsq6mDeGXvJJzAbnAOsdYvnw5HVNHk13wPXX+WIYnFbLySHvg2Fa0esgABN4CBZdv7L6PfY4s/IkXk13wHV6/Qqy3Gps7sH2tvm3x+/26srpbY8DP71tvoDA2h/YFqymPOY8Heu7l/u2tUN/0eTweHA6HzjXG5/Ph8XgAaGuqJrtyHfuSRtCtYDW1JHNZm3w+KT220Attd2h5csdCyisU6hMvJrvgezx+A+1NVg7bAws9p9OJoij4fD7t/lDdTOu+lQ2WCSQaKuhZ8B11XiP1Dht+jFq7/X4/brdb61ewbuKF4zhG8OTg9Xp54oknOHToEHFxcfj9fp5++mkGDTq2YHz44YeJi4tj3LhxfP311w1kjB07lltvvZUDBw7Qs2dPXnrppUavzZw5k9mzZzNkyBAMBgOKovDEE0/Qu3dv5s6dy4033sjHH39Mz549GT9+/MlXxFnChg0bcLlcmovayJEjWbRoEVOmTGHOnDn4fD6MRiNvvPEGb7zxhnaf3++noqIirBthc3Y7WjIp5NnAwYMHSUpK0nbrqqurcTgc5Obmam/lL7/88gYu1dB0vUY7WviCCy5g2bJlvPLKK0DTjzVu7g7WAw88wN69e/niiy9aNO9NNL7//ns6pgVs0kpnPx79IZEhreu4vH0xb/bbz192ZrGh1ohqH0Lncggc/qHuZFRUVOB0OiPOu6E2SYhAWor3339fk+fxeHR1hNqkLjFVPJyTj8DAx4c78m1hN3r3G8R9PduSXfA9mw3DuHO5YFCmh1+1L+b1vt8xz9iRb6ssiAj9UHdDMjIyANi/fz9Op1OzQU2xSQaDQdcPp9Op8xgItUltTDYe6HOINnFuPjzciceLuhDOGWv37t3s7jeK7ILv+anVGB760n7UZU2QGeOiu6WCwa3tPNL9IPU+I0sOp/G9tQPW+jitrf/973/Zv38/EJi/6uvrtb6ou3HRbDag61t1dbXmaaKOq8/n02SqLoLquPt8PkpLS6OOs9frxW63N3j2UPXldrtZuXIlTqcTgH379lFfX6/VkWR2c0WHIiZl5dE21smKikyWlybx7qHuFNfHAQqKonBF1+FMaFVOdsH3fFXRhee2dgi4nCp+Olms9Et1MCzjMH/I2s6PlaksKUxjmwN8Qp47dy4hEw2fY4waNUqohignoYz7eu5j2qaLgMDEXVdXp/MXttls2m5FitnFO4PX8LtNwzniCbzFndZxB0ajkbcP9QICW+zBbgwulwuv16u5lV2cWcLEzMM8tHMIoGDAz1uD1jDvYG82VwdOeKmtrSUhIUGb5ELjuh7qsYV9tQl8WnYeAO0tNl4dtJnr1+fi8hsbtDu0bFZ8fDBkJQ9sG0iBMxmASRn7GJhu5+k9A7V2+3w+ze/Z7/frckHkJB3h/h47+N3mi7RJ75ne6/nB2p7/lncAAi4gMTExutixYN3c3GkPUxccPieSo86ePRu73c6LL77YrGtnCWfcGGVlZbF8+XLtAfv222+nX79+3HHHHWzcuJHWrVvrTg9UOXz4MJWVlbqFc3M50aSQJ5GTNk6ffvopCxcu1HaEvvnmG1588UW++uorILBDu2LFikZ3lKJRWlpKdnY269ev144Wvuiii9i/fz979uzh+eef57PPPgt7b0uMwWOPPcbq1atZsmSJLt6jhWkwRsE2KXTeHZBk5c7uu9ljT+WVfb3wCkODuV3N0acuIhwOBxaLJeK863a78Xg8mk0SQlBbWxvRXqh1BGySwpQOBVzd4RBv7+/Ct9ZOCBTq6wM57tUFq9frxel0aovtHgk2ZnTdSb2I5endOdT5TA3qsNvtxMXFaQsGh8OByWTSdkwbs0mR2h2sm2CbdHFmKbd328PC/I58Xt4VnzDgdrv54YcfGozRL37xC6Ha33D1qGUFQU5SNaNSD3NxuyOsP5LO3wu6sqcSnQ1vTF/R6gjWV2xsrC7+u7n6ChcvFfzs0ZgNV39LWalGftspn7Gty1hVlsT3Rzqx8Ugafhr+Xu32wOI00vNNsG6STB5y00oY17qEtvEe/nm4C1+Vtufrpd+ecTZJEhaZaPjnhNls1ia1rbZ0BAcZkllPnj0dr9eL1+vVvdWsq6vTyr9qW8QP5WnUG5OJMwV+N5+VdOKvQ7bwz4r+eIVR830PlhFc52XtS1h4oD1xcccM+CcF7fh1hzJ2uwILE6fTSWxsrGZoPB4PMTExxMTEkGRyMzyjmnn5fTWZpS4Du2uTGNuumu+qOjZoNxwLugUYmVrEAUciJb4M4uICP/Gvytozrcd62rVSqPbG4vP5iImJ0RkAj8ejlS/vuJtPD7fFEnssHunjgvb8LruUH2p7aO2OjY3V+W+rujEpfn7Vvuy4xlDy86a8vJz6+nrd7tG6deu45ZZbADj//PMj3tupU6ewCy9o+m5HSyeFPBvYvHmzTq8bN25k8ODBQOCAnPz8/BNaXIH+aGH14Us9WnjRokWae+DJYMeOHTz77LNkZ2drh2h07dqV//znPyetTpVg+xA67+6sb8tt6+J4atABXhywlWf3XUBdnSmsjVIXEdHmXRWT6ZgMv9+P0+mMaPcgYJMS4izM6LqL7IRq/rBhEDaSiY075i4a3A9190QtF/njuGO9kUcGlvDaoE08tXcIOx1GXR1ut1v3MK/G/wS3M5pNCtfu+vp6YmNjtd9TQDcx3NQln7Hphdy7qT+F7pRGF9TJycm6cmg9weV9nng2/BTP38viuKJ9AXMHbGJNZQoLi3pwhGNtDx4D9eCRaH0JtuHqPbGxsVH1FVxWPXQa01fw4Ryhv6XQOlLNLq7tWMiEtmUsrezE9LwxHCizk56eTkxc+DpcLleD5xuLxaKLFVN14yGO/1pj+ayoHee383F9+5+4tlNB1LGSnD3IBdY5jcJXZe0Zm3GYPHt6o98em17I09u66LKjlTjjOOhoxdCUMlYfdTWMRBtLHR3jHKysSCU59djn/yvJ4PbszSQYPTh85qgyRqYWscaajt1rJi7oq1+WtGVy1mFtgRW1HxmFLD7cRvdZvc/EKmsmo9OLWFQWPRldjMHL0OQyXtg6EFOQu/mPlSk8knOQjrF2Cp2JkQUAg5IqKKyPJzXqt84eouVWknmXWpb169dTU1NDQUEBWVlZzJs3j4yMDNxud6PxQNFoarxOY0khz0XmzJmjK6sntS1evJjHH3+cSZMmMX36dObMmUNmZuZx13P99ddz/fXXN/j8iy++4P777494X35+/nHXCYGDJs5UbxWn38hz+y/gpo67eL7Xam6v7nXK22BAMLPHFiwGwczdF1HhqiPo4Lgm4RMKbxbk8OvWB/nT0X44T05zoyCY3mUPfZJsPLArl0MOJ+boJve4qfeb+FfJeSwu78Ilybt5bcB6/leZxUcl2dSenCpPGQqCX2Ye4rft97CsrA135I2i2qseQnFyogb3OlKZvfdCeidW8cJJqUFyqpELrHOM4Fgmr9fLNyWp/LZTPn6vC69X6K4Hf79drIMEo4ftVfEkJXu0t4U+n4/vyjMYnlbM8vJMfD6f9mYNAm9nhBB4PB7OTy9mTVUmbq/Q1VHjUthuS2VwYjHfVrbXZAT7Tns8HgwGA0OTS/l3fqauDq/Xy6ryZB7u9RPxwkGN14Lf79fVoZbjDF56JVQxs6wbxHi1hwqfz8e3ZRnc3O0wHxdmafWr7geqb7fH42FIWhl77MlUOQ2kxh2rw+MTrLS25sKkQg7Wdte+H6wrtd1Dk4r5viydfi07vJKfARs3buSOO+7ghhtuoKKigoEDB/LRRx+RkpLSaDyQpGWZNGkShYWFJ72enTt3nvQ6ThehNincvOv2ePm/g+fh6gSvnL+DR/e0otYb2FVQ5/bgeTbSvAt6mwQBF8FIdi+A4I+99hFn8PLE7vPxBH1f3elQT6wL7keozEA7vXxa1Ik6D7w6ZCczdyVR5jq2e6fGD0Vqt8FgCGuTwrf7mAxVF9dnHaJ/kpWHdl6Iw2do0O7ge4Pxer26BXiofY1Ur9/vp8YD71Z25MvS9tyZfZDX+3zPS7u6su5IhtaXcPoKr7/odXo8Hp3M4L6pcXjN0Ve431Jrk41HsjdhVAR3bRpAvj2O+HgjcKyepuom+Lq6o+Xz+QI5kiLoZtuRYy6NkrMbucA6x1ADQSHwD7fOlE4VqUzoGctWWwZ5eXnU1dVp3xdCUFdXx/npRayqSMXnF5qPMARcLfab+zE97Quyu3Vm78ECqqurtclYdTsEGJpcwscF7bVYL5WEhAT2GHOY0Cmf/KRubN68mfr6ep3Lh9/vJxYXPROrWVPeFafPqZugYmJi2e3tzK+zBaud3diwYUPYfgxpXUFeTRI1Tj8Wf70uT8dhczadE35iUI827Cmupbi4WOuHOmnW1dVxQecSfihL1mQG92OfeQBXZ6xlXUw3tm/frsWgqe30+/0g/AxJKeedPTkcyxQlkTSNxrLML1myhN69e5+yxdWJ7p5Ift6E2qSUlBTN/dTlcrF9+3Ztnv3rnvb4utTxVM/13LWxP26/Eb/f38AmdejQQYutOXjwYESbBMcWWKFzebdugUOTfpWwjq5eB/du7ofTH9hzUm1S8IETwQ/NqnuaKgPQ2aRP89Px1Nt5ttc6pm8YQI3Hgsfjob5eb5MyMzO1HdGysjKKiorC2qTgvoT2o0uXLhiNRi6K3cUYczm3r8uh2ucBPNrDe7BuwlFdXa254gEN+rZx40ZdvV6vV4tXUvVVXGtk1tbzGJJ2hPuy93LAeYT/+C7FJSzY7XZ2796tk+H3+6P2LSYmhk6dOmnujXv37sVut2t9Ucco+DCTUH3Fx8fr+rFp0ybq6up0qVb8fv9RvQgmdyzi1h5F/D0/i08Ot8ft9REfH3mcw7U7VDcQcA9OSwvEoBcVFVFWVqYbZ7fbrZNxPMycOZPp06eTmprKfffdx9KlSzl8+HDY765cuZIFCxbovCEOHTrEggULfhYeKadKV3KBdY4RFxen+QPb7XYuueQSuvYfwj0+N4d73sHUqVN1AZler5fk5GSGtdnN/yqyMJlMgWDWoDxGtz8wm/jV+bw67Qae/ccPfPPNN9qkp56wk5oYS59kO3u9nbBY7DqfbkVRuOmpt+GN3sx75jUu+eWlGI1G7Y2OzWYjJiaG4a2r2VuXit8UT2Kc3t+9X79+nH/NVM4/sIypk+eRm5urq8Pj8ZCcnMxFbQ6xva4dsbGxJCQk6BIITvv9dBKqBM/1msCHO43Mnz9f57+tKArJyUkMyajhM2tvTCaXrg4hBDOeX0jsqx2Y99jTXHfrDKqqqjT/7erqaiwWC33SvbiEmSNKWssOruRnT0vFA0kkp4pwNunee+8FoKSkhGuvvVZnk97c14XnUgp4IKeQNw711/IbBdukhx9+WHNZfe6551i2bFkDm6QecqHubITapHnz5sFPS2DJYq755gJM8fEkh9gk9UAFm83WIAarb9++vPzyy5rMUJv0aWF7uqabeWLAAZ7aO5RqAg/86kLG4XBw2223aaenfvTRR8yfP18XqxOwScdkqvZaRQjBK6+8Qlz1LvjHJdy/Yxwui5vkozappqYGs9ms00041JMNg8ds3rx5WnnkyJEN6m3VqpXOhqtxRj/5krl1QwpzJ8LLiWvgN4vYWeZhxowZupdCoX1RbXgwjz/+OD16BGKeH3vsMX788UdtDBwOB4qiaH1Td+GCZRiNRl0/xo4dq4tZU/NotYo1cmfnrbQ313DX1iFUK+m0Sg7oa9iwYTz99NOajNBxDjcmwbpxu93ceeedmvfB/Pnz+fDDD3XxaUajMWxqlKZSU1NDcXExXbp0AeDdd9+NmvIk3OmonTt3Zt++fQ0OBjnXaEldKYrSSggR0SNWngn5c6DLaDj0fcTLBvz0TjhCXm2UOK0uoyE/soxeiUfIr0/C6Y+wZk9sG/gr2xZRRr9WVrY3pQ1RYgn6tbKyzRZFRufRUfvRNqYOA4JiV4Rku0YzdLoIDv0QvQ21GRGvSyTHgxoPVFpayvTp06moqDjdTZJITgIKbxzqR79WVkalFZ28amoOw+fTYPJCajzNDLhqIv8o7km80ctVbfefFPkAuGrg42vgl69T6jkzclS5/UZWpNwAF94D744gsSSyvTzdtImp50+9ViFQuGPjAEqcJ+2EzROmqqqKdu3aNfh85cqVYVNzNEaoN0R2djZr1qw54XaebiLpCVpWV8DwaPfIHayfAx2HQdl2FHf4hXb3hBrK3XHU+ixhrwOBxc2avwDhV/r9WlnJq21kx6bzaDj4bcTL/VpZ+b/DUX74KV3BYALrnrCXU81Oks1u8uuTAFt4GV1Gw4+vQOvwSYePLfKinL7ZZTQc/C7i5ZxWVlYfCf+PWyI5Xk5VPJBEcrqp95v50/7BzMn+kS0lvammZb0BzIoPPrkWht0LWbktKjsYnzDw5/2D+UuflWwuN7PH1bIP7woCy1e3Q/cJkPMb4PMWlX/CnH8btM6h3T+v4pYusfzH2hfvGZTraXi6lYd67+WT0h58Xt4Vt99GlKeg08769esZMmRIg89tNhspKSnNkhXOGyItLQ2bLcKz01lEJD1By+oKiPpGQ+bBOscYNmyYCA7MhcAxuS8N2sHnhW1YWpSkuc1BYHv79l7FWAx+3vipi3aEaPB1k8lEglnw2S/WMenbgTi8Jm37W3W/+PvInby6uzObqpLwer06f26v14vFYiE308qUTiXcsTYbo9GouXx4vV7axHv4IHc7k767AJc38JsMrcNisfBQ730ccsTx932ZDdp5VRcrF6TVMGtbthYMGxznZTKZMBoN/GfkBmas60V+bYwmQ/W3f2nIfr4vT+fr4sywurBYLPRItPP0gD1c9V0OBoNRczfwer3EGAVfjt3MtSsHYXUaWbt2rcxnceYjx+jsQI7TmU+DMYpkkyDgTuV2uxvYC3XeHd+2kjuy87l9XQ6lTv0x18HxP9DQXqgyhBA6m2RS/Dw7YDdOYebJ7dkIFM1NK9gmGQwG3SEXwQcTBNskFbfbHdZ2AgxOq+Gp/j9x34be7LUnau02Go26ww6C263apEi6URA82HsfnVu5uX9TX9z+QJ6r4HarbobBuglnk4LHSL2vsb4F60s9oCP4IIfgcU41OXmozz7axXt4Lq87u2yJEZ81Qstqu9xut64voWMSOs6R+mE0Gmkd6+be3vn0SHTwbF43tlanRNRX6Di7XK6IYxJJN4FnD6N2PXScg8sAq1evDjvXPfPMM+zdu5fi4mIOHDjA4MGDWbhwITt27OCDDz7ghRcC5w/OmDGDzz77jEmTJvHwww8THx/Phx9+yD333AMEvCGmT5/OpEmTALTTUe+55x5uu+2249rhOZOIpCeTycTWrVtbTFevvvpqjhBiR6R2yB2sc4zExESdv7vRGMjFscnRkTEdqvihMlO3erdarYxtX8Or+QNIT0/FarWSlpamTQ42m03LE7HTkU5uWwerqjvofLrbWBy0ifNQaOhKWpqgurpaC+hU60hNTWWfvxV9UvaRHm9AiU/V+W9P7GxjQ01bktMyw/q7u91uWrVqxZb6LK5sv59/5rcjPf2YK2BlZSXjO9ayrLIz6enp1NTU6GKwampqtPwW623tuLiDnX8XZ+pisHz1NVyQUcu84iGkp1uwWq26OqxWKykpKViVFGKMe+iVDmX+ZF0M1qi2NeQ7kzG0akuiKby/u0QikfxciGSTIDDv2u32BjZJnXc3edJZmO/htQt/4uHdF1HjjdHZJDgW+xotBku1SUbFz0PdNuF2G3m9aCgpqYGH9yNHjpCUlNQgLjhaDJZqk8K1GwI2SS0fIp2/7BH8ZchPPLJnOCWuRJ1NgkBMkcFgaKJuBH/IyqOzxcWT+4aTkGwhARropqkxWKGpB1SbHalv1dXVEWOwIJDQNzQP1uM74vl1FzsvXrCDb60deX17Bomp4fWltj04Zi2cvkJjsGpraxu0O7hcc8TK1Oxqrm2/j8UVXXh2fR8MlnjS0y1h6wj9LYXTRUvoxul0NikGa8OGDbhcLj7//HNMJhMjR45k0aJFTJkyhTlz5uDz+TAajbzxxhu88cYb2n2LFy9WXdqA8N4Qfr+fioqKM3Zx1dQ8jhBdTwMGDGgxXUVbXIFcYP1s+LG6Dde334PF0Fn3eY9WDuIMXn5yNL5luuZIWy5uW8yq6g66z8e0LmPNkbb4UYj2QtnlN7HNls4vWltZYde7fIzOKOWTsuwIdx5jqy2D+7puISPGpasp1eKmZ8IRnt8fOQmrytrqtlzfbgf/Lu6q+3xkppWd9lQc0VwlAVBYU92WMW3K+bBE34+LW5exsip6vjCJRCKRNI2PC9rROsnMn3qt5sm9QyI5fzdKgtHDw9024haB0+6S006tq9oPFRmkJxh4rucantl/ARtqjq9+s+Ljri7baBfj4O51vTEnmjCcOV53UVBYXtWBLbYMft9pB/8auZn/lGfzdUUWHmE8qTUbEIxKK+KaPrsp9yTy0O4RFLkScfttxDZ++xnDxo0bWb58ubZYGzhwIOXl5QA88sgjFBcXh000r+6+RKOoqIgHH3ywZRvcgjQ1jyNE1xOcOl2dFf8sJSeO1RPHHkcyY1pbdZ9f1rGMpdZOiGgxR0dZUdWe81OrSTW7tc8UBJe2LWFpZVaT2vG/yiwmdSjTfdYlwUHb2Ho21jSewNMtjKysasevOugD/C/tUMma6naRD9kIYqstg2Szh+4J+pi0X3coZWlF0/qxtDKLS9ug8mh7AAAgAElEQVSVYQha5iWbPQxNq2K5XGBJJBJJi/HP4mw+Le3Gn3qtZlBKdbPv7xDn5IVeqyh0JvLsvvNPWxzQf8s7Mu9QP57osZ6LWzf/kJpUi5uns9diVvw8tmc4Du/Z9468xhvDiwcH8+CmXgxIquStft/xy8x8Yo2+xm9uJibFz6i0It7o+z2XZBbw/I7u/L89QylynX35A8vLy6mvr9dSHACsW7eOCy64AIDzzz8/7IKhqXTq1IlBgwadcDtPFlOmTGHgwIFh/4J3ZhvTE5w6XZ19/zolUbHb7Vo+BdVHWS1/pKRxe88i1u7ohh+FVLOL8W2t3LSmA1ZnYOHl9XqxWq06/2GXy6X5QS8tTuOarELeKwy4RozKrOCIy8jaw17AqvkTW63HFnKqTIClVUZ+39FDTqsq7VCM33Yu5JP8TCqsR7Tv19fXN+iH2x1Y2P3TncJfzt/Nf7e5cPpNxBh8XN25lEc398Rqs2rtVv3RVZkul+tYnpJDmVzb6RB/PhDY2u+VeIR2sU6+OmDCK6wN2h2qGytQ1t7Cxa1L+c7aEYDrupTxXUkKBeW1WrslEonk50w0m+T3+4mPj28wV4abd/9ZlchPFT2Y1W8Xq8pL+Ou+ztg8Zrxer06GwWCgtrYWp9OJWfFzbecirutayvx9nfj0cFvgSIO5XXVDU2UoikJNTY0u3ifYJql2TrVJALGxsbp+GAwGXR2qTfrKZmZ/RS/mDNjDqNoy5u7pSrkzBp/PR1JSkk6Gx+PBarViQPDrjuX8vl8Biwrb8M6+Tgiq8Xq9VFVVafbaaAzEBAfHQNntdu0BNJJNqqioIDQGK7jtoX0TQlBVVaWzr06nE4fD0eRx3mNL4L4fu9E7uZabuxUxdbSNleVpfF2cwaaqZFwebwMbHizDZDJRU1Oj9U2NWbNaK8lJtjOxfQUX97dywB7Pn3dksd6ajMUSQ3y80LWjpqYm4nOC2g+n0xlRF4qiNPi9BiepDqeb5ORk3W/N5XLpZIRj/fr11NTUUFBQQFZWFvPmzSMjI4OhQ4cyZ84cKioqMBqNutQBwX0MzffkdDqZPn06SUlJGAwGXnnllSbdp3LTTTdhNpuZP39+k+4rKSlh+vTptGnTBpvNxoIFC3RufY3R1B2saHoKl9PqZCIPuTjHGDdunFC3RRv6dHt4dfBWevzyHsTwBzB8ci0f/Xct/yg/thKvqqoiNTVVF4MVFxd3LEC4vpyPxuzGdNNSSOqIe95gHl/fgT3uwK6NEIEYrGC/56qqKl1M1uj0Yu69wIkybRUUrqX2H5O5cd2F+E0BP+fa2lrMZrO2vet2u3G73bocGg/12EbuuEmIia+iLL2f5V98wEsFw7TroTFYoX7Qvnob/xq1jfhr/gZZv8D3Ti4vrfSwynFexHaH6qZ3gpVnBh/AeNt6qKvANX8k034cRK0h0Hen08myZctkYP6ZjxyjswM5Tmc+DcYomk3y+Xy0b9+et99+W/v+qFGjdHFHofOuv66K27KLGJNRyvKq9nxxKJmJtzzGFVdeBcA3y5bxt1dnM7FDFePSD3OovhUvbO+AK669Tmbw3K4oCvPnz9fyQd1xxx0cOHBAi8EKZ5NcLpcuBismJoZ//etfWnn06NG6/EihNqm+9gg3di/hivaF/Fjdhi8LM8jK/S333PdHIPBAevctU/hVlo1xGYex+8w8v60TRyzH3ryH6kYIwTPPPEO/fv0AeOGFF1i2bJmm70g2adKkSbp/R+H0s2jRouDvA0SMWbPb7ZhMJk1fHo+H8847j7lz52oyQsfZX1vCFT2cXJxeSJrZxdYjrdhbn87e+jQO1iVRaXPy0EMPcckllwCwaNEi3nzzTVrFmekcV0t2fBXdYysZmGbH7TfwnbUDi/Yn4I7Xe5R88MEH2rPEzTffTFlZmRazFvqc4HQ68fl8uhisuLg4PvzwQ60cOs7hYrBCdXPdddfxu9/9DoDdu3c3yBG2ePHiBmP01FNPiaqqKjZv3kxFRQUDBw5k3rx5rFy5kr///e906NCB1q1bM3PmzNBbNcaNG8eyZcsAWLhwIS6Xi1tuuYVHH32Uq666SrfLE+k+gNdff520tDS+/fbbsAuscPf973//Iy8vjz/+8Y/cfffdTJ8+nT59+kS893h56qmnCKen0JMDL7/8ct1v4TiJ6vold7DOQdTJVv1/tawoBt6pGsOfVjwD3z4KrTry9r7OJCQrDe4/do/+v1Z3DJs7zWDYglwQXlwJPdlSk0p8/LEJPrQNoeXlVe2Z0aEdcS+2BuFlv6szTr+ZmCj3hJbnFw/kF0Vr4NlYED7sntZh+x1JhtNvZEn8zVz78RTwe/ClZPN1aRuSkhpvg/rZLkc6VT2G0/a1biB8lCjnUe6K1XQhkUgkksg2SUV9GI10Pfgzh8/Mmwd7saSyO6PTipjVdw/td16PcY8ZvHWMw8iQgQZWHunACwcHs6c2mWpnNWnx0ed2o9HYpHZEuh58+lyk7wf/1yOM/L2gG99Wd2dUWhF3nrePLo5HMD4/G7x1dDCYef9Cwdqadrx1OIe82nQq7VWkp0eWGdqPcNfDEe56tDEK7X+kepqjnyNuC1+Ut+eL8m60sTjobCimf3o9YzJ30jmuFiFAbMnDuMUJHgeXKbFcepEbkyIodCayuzaZTZXJfGbtw2FnIqBgdVpJTzhWhxCigX5Oxjg3pptgGaFjFYlZs2aF/XzHjh307duXWbNmMXPmTFauXKklxo3GoUOHGDYs8FK6a9eu5OfnR1xgBbNx40bq6uqYNGkS334bOe1OKEOHDuWVV15h7dq1GI1GevXq1eR7m0MkPQUTmtPqZCFjsH5mVPkSwesM5P6wl+D2N/8nUJp8ISAgK5ckx97jaIWC4xfPAX7IymVgXEGzJdT5LXDbRq0dl7Yvb/SeUEpNXUAE2mCu2U8jLyPCUtnzVq0NXUX4E24kkpZk5syZ5Ofns3LlSqZNm8bUqVO58847gYDRnD179ultoERyCih1JfBhSTa/XXMBi/u8D76AXVMQTFk7krcP57DXkdq4oNNMlSeW/5R157aNQ5jX6jnwuQL2WfiZtGI4r+YPYHttRpPipM8VytwJLC1rzZv5vfnjrpFM3vRLLlt5EWv7vgzeesjKxSjcXPPjSK7adCl37xzFqwdzWFLchsPOVhyPLT9b6dy5s3aKYUZGRpPzWGVlZXHo0CEgYDc6d+7cyB0BlixZwt69e3nsscdYtWoVK1asaNJ97777Lrfddhv/+te/GDx4MF9//XWT7mtp3nvvPdavX6/LaXWykC6C5xgjRowQ6hsRj8eD3+/XtqZVH+UnhpQzPu0gS6u6MmtturYdDoFjSWNjY4/t9DidmEwmza1BddV7oM9BxqcdZElZR57Z1E6rQ/VXDvatdTqdujo8Hg9t2rRhetZ2xqcd5D+HW/OXXd10dQDatr3P58Pj8TSQ0bFjR6a128T4tIN8eiiT1/b31NVpNpu1t0NqHJnq6ujxeDCbzTw6sIjxaQf5uqIzT67P1NUR2u5Q3Xg8HtLS0rir+27Gpx3k88K2/CkvS2u31+uNmM8i2hhKTjlnzRjV1NRw11138be//U33ebC7w9SpUwOuM0HuS+cIZ804/YxpMEZNsUkdO3bUvn/o0KHTZpNU+1BcXKzLseTxeBBCRLVJbrdbFzgf2o/m2qT/VnZh9rqM47JJ6tHl5eXluFyuRm1S8BipcoP1pdpblYKCAsxmsxZn5HK5dDm9wulLCEGHDsdOIA43zqFjFKwv9Vj8+3sfYHzaQRaXduDZze11vyW32x1VXx6Ph3bt2mkyCwsLURQl4rOH1+vF5/NpdajfaWycLRZLVN3ExMRoR+O7XC5KS0t1Mn744Ycmz3Vut5s77riD5ORkqqqqePvtt6mqqtLlcoKG+Z7atm3L7bffTlpaGj6fj7lz51JWVtboferhEfn5+Tz99NPMnz+/Sfe5XC4effRR2rVrR3FxMW+99RZ+v5/HH3+c+fPn8/TTTzN27FiGDx/Or371K5YsWRKuuydEpJxWJ0DUlbxcYJ1jjBkzRqiTQX19PYqiaP9w1cMjgh+8qqurdb6pNTU1JCUlaRO23W4nJiZGMwKhvuhOp1MLYIWAMbPZbA18koPrsNlsJCYmahOQ3W7HYrFok5rD4cBoNEaNwaqpqYlaR21tLfHx8dpEarfbMZvNBOsG0OUcaWnduFwuvvvuO/lQeOZzxo1RVVUVffv2paSkRPf5kiVLyMvL4+GHH9Z9tmLFCu2N3FNPPcWwYcOYMGHCCbfjySefZPbs2Wzfvp2cnJwTlneCnHHjJGlAgzEKtUmALgbL4XDocgA1Nu/W1tYSGxsbdd71+XwnZJNqa2uJiYlpcZsUFxenPWg3ZpOORzehNik0FiqSTZowYYIu0XBjfbHZbCQkJOjsa7ANr6urw2Aw6J49nE6nTl+hMhvTV21tLRaLJaK+/H4/dru9xfUV/Fs6Vbr5+uuvT2iuW7x4MUajkV/+8pdNveW03HcOIGOwfk4YjUZtslDfnKhl9bSa4CzkwW/Q1O+YzWbdqUQmk0n7jpqtXS2rWcnVst/vbyAzXDk4s3m4OoLL6olN4doZqazKVCfn0HafKt1IJMfD+vXrGTJkSIPPbTabzpi/99575Ofn69wd0tLSmuwmEo1Nmzaxdu1asrKalrpAIglHY/NucBkan3fVeT3avBtsD47HJoWro6VsUqR2qyfmNUc3arvUxdHx2qTgHZpwbQ+tV5UZbMOD6wnVlxr71JRxjqSv0DrcbrfuHq/X2+Rxjqav4HLob+lU6eZEaUoupzPhvnMdGYMlkUgkZxgbNmwgLS2NCRMm0KNHD6655hq8Xi99+vRh//79QOCt4eOPP05paSnTp0+noiKQV2fv3r307t37hOp3uVzMmDGDefPmNRp8LZFIJBKJRI/cwTrHqKurw+VyAQFfX0Ar+/1+PB4P1dXHEjV6PB5qamp05erqau2hyu124/F4dH7jaj6P4DrUN2OqH3RoHcFlt9uNzWZrUIeaa8Llcml/qmzVVz+STK/Xq+uHerxqsB+0mtMrkm7cbndYXQTX0RTdqLLV/0okzWXDhg24XC4+//xzTCYTI0eOZNGiRUyZMoU5c+bg8/mYNGkShYWFuvv8fj8VFRX07du3gcwpU6awb1/4g1jWrFmji3+YNWsWU6dO1SVrlEiOh8ZsUjh7ETwPN3XeVW2Sai9+DjZJ1VU03aifBdcRSrDMSPUEl10uF0IIrS9OpxO3263pS91dUvvi8/nw+Xz4/f4GbQ/WV2gdofpSj8cP7ov6X7/fj8vlitrucPryer0N9BU6zsF6a+wZStVNcB1N0Y0M1zn3kAusc4zQrWc4FrCpGgS1DJCYmMiMGTO08nPPPadzF/B6vVgsFl3CRaPRqJORnZ3NlVdeqV1/7rnndNfdbreu7PF4sFgs2gRksVi47LLL6N69OwDffPMNGzZs0O4xGAzaPZFkJiQkaCepAbzyyiu6ydnr9WI2m6PqpnXr1kybNk2T8cwzzzSoszHdTJgwQTvqNC8vD4nkeNi4cSPLly/X/PQHDhxIeXngpMxHHnmE4uLisJnoi4qKePDBB8PKbGqixjVr1pyyU5Yk5z4napOef/553byrfj+aTerRoweTJ0/W6gw3lzfHJn377besX7/+hGzS3LlzNTc2aJpNyszM1PIlQUObpB6YoNKYTdqxYwfhCD2iPrQvoWX1MB01Fun999+nvLxcc8lX3TKDD7kIPmxDlRE8zs8++6zuutoXVV8+n0/3WwLo27ev5p5mt9uZO3dus8Y5NjaWK6+8UnOD/uqrr9i2bZt2j6IoDX6f4XQR3I+XXnoJQDfOFoslqm5at27NjTfeiOTcQi6wzjEsFosu6NNoNOoOclCzoauYTCad/+yLL75IXFycNgF5vV5dsK86uagyFEWhc+fOmgy3282LL76oq6O+vl5XdrlcxMbGahO61+vlwgsv1HIyHDp0iLy8PF2gqaIoUWX6/X5dP/7v//4Pt9utO7mnMd2kp6frZPzpT39qUGdjuunfv78mI9SvXSJpCuXl5dTX1+t2j9atW8ctt9wCwPnnnx/x3k6dOoVdeEHTd7CWL1/O7t27tfoLCwu55JJLWLBgQYscnCH5eXGiNumll146IZvk9/vDzuXRbJLH42Ho0KEMHz4cCPwb2LZtm9bu47FJ8+fP107GU+sI1o26I9Qcm6Sekhf8MB+sG4/Ho7NJwSfVBRN64mhoX0LLAGPHjqVt27YAfPnll1RXV2vy1cWQ2he3240QQifDYrFE7Zu6eIymr+7du2syKisrmTdvXtR2q6dJqvry+/1cdNFFDBw4EAgk/d2zZ49WR319ve4Qr0i6CO7HvHnzAHTPN8HJi8Pppk2bNjKO6RxELrAkEonkDGL9+vXU1NRQUFBAVlYW8+bNIyMjA7fbzbRp03C5XKSkpPD66683S25Td7BmzpzJzJkztXKXLl1YvHjxmXCKoEQikUgkZwVygXWOob4pgmN5NtSy1+vF4/FQV1enfd9gMPDFF19oZY/Hox1/qspT71WvB/sKu1wu9u/fr8lQ84ME1+Hz+XRlr9dLXV2d9obH7/ezevVqLUj/p59+0o5/V+tU74kkE9D1w2634/V6G+TliKQbn89HeXl5A12E1tmYbjZt2qS9cdu+fTvjx49HImkOGzdu5I477uCGG26goqKCgQMH8tFHH5GSkkJubi4QyHtlt9tPeiZ6ieREiWaTwtmLUJuknq4XXIbINsntdnPgwAFNhhqP1VybtGrVKiorKwHYtWuXFluj1tmYTCGErh+1tbWaDQ5ud7BuFEVplk1S04sEx/sE68btduts0o4dOxg37v+zd+bxVVTXA//O2/KyhyyEJYRN2Xc3loBsKloUBK391QWXtuBGa3ErWsW6tbZqbW21ikKtWgFrwYKliqKCG8i+yhZICCFkz3svb5/7+yPOMPPyskEICdzv55MP3MzMueeeO7ln7sy5504kkkhfGtmWyLLFYmHVqlV6iGBRURF+v1/32draJqO9InX3+/2mtkXaU3sW0ewVCARQVdVkrz179ugyXC5Xo549jPYSQrBmzRry8/OBmgRBPp9Pr0O7d42JfiJlKopiaofH49EzQBr1rs82hYWFJhlXXnklkraP3AfrDGPMmDFCG0wj96jSBgZjOIDL5TLtG6HtB6INKB6PB4fDoQ/QkXs4+P1+QqGQ/qAnhMDlctWqw1h2u93ExcXpTtPj8Zj2A9EGL+0TurYQ2PgwGa0OYzu0vVK0CZbH48Fms+l1RNpGVdVatqmqqqpVR0O2Me6V4vf7WbNmjdy7p/XTpvooct+rs4g21U9nKbX6qD6fpKoqHo+nWX2SltShOX2S1+tFCGEK34vcu+hkfVLknkuabSJt0VSfZAw7rMsn5eTkCGNIe2PtFbnPpBaaqE1SGrJXfW1zu92Nsld8fLxuL7fb3eR+jtyjyrh3qJY8RaujLttE9nNsbKxum2jPHtFsY5S5atWqExrr5syZQ3V1NQUFBWzevJkBAwboiZIkx2lGO8l9sM4mGop3j9w0L3L39OrqauLi4kzx7k6ns954d1VVTXX6fL4G492NA5AWN64NQNqO9kanYLFY6pVZXV1takcgECAuLq5Ja7BCoVBUW0TW2ZBtjDIkkuYk2r5XEklrpqlrsJrDJxn9x6nySQ2twYrmk2JjY5u0BqshnxS5pijSNpF610W7du1M5YbWYGltMa5Za2idEVBvP3s8nlprsBqyl6IoJntpfr8uvbX7oC57Rfpwr9eLzWarV2ZkO/x+v2ny2Zg1WECzPDds2rSJ9PR0lixZgt1up2/fvuzcuZNBgwadtOzWTlOy5LaUneQESyKRSNoA2r5XkydPZtasWTz++ONkZGScbrUkEolE0grYvHkzmzdvNr0YSE1N5fHHH6e4uBir1crzzz9f67rKykruuecePvroIz1c0ufzMWvWLJKSkrBYLPzxj39s1HUaM2bMwG63M3/+/EZdV1hYyKxZs8jMzKSqqooFCxY0adLZ2DXGULed1q5dy4IFC054nXMkcoJ1BmIM+zTGeEf+G+38aNfXd060f4111ldHU65prMzI8xsr81TaRiJpDqLteyWRtAWae9ytb2yPJrOpPqkx15yIT4r8tz4/2BjbNEZmfbLq0ruhtjZG16b6+Ib0iFancc1aY2XW18/R9DzR++BkbdNUcnNzSUpK0lPOV1RU4PF42Lx5M9u3b6dz5860b98+6rXJycm8/vrrpvV57733HhdffDG33HILc+fO5dtvv9XT/dd3HcCLL77IZZddxieffNLo+rZt28bFF1/ML3/5S2bPnk1ubi79+vVrdPsb+wWrLjtlZWWRlZXVrOuc5QTrDKOO2F2JRCKRSFoc6ZNaP8uXL5d91MbZtGmTaQK0YcMGhg0bxo4dO+jfvz+PPPIIDz74IGvXrtUnEfVx6NAhfeuc7t27c/DgwVoTrGhs2LCB6upqJk+eXOcEKxoXXnghf/zjH/n666+xWq306dOn0ddC479g1WUnIytWrKBv374nnUTK0vApEolEIpFIJBKJpDWyadMm0x6J2sSha9eupKWlAZCenk5VVVWj5GVnZ3Po0CGgZrLVtWvXRl23YsUK9u7dy0MPPcQXX3zBmjVrGnXd66+/zs9+9jMWL17MsGHDWLlyZaOuayp12Ulj4cKFrF+/vlnWOcssghJJyyP/6FoXMjtd20D2U+tHfgmRSE4NJzTWBQIB7rjjDpKTkykrK+OVV16hrKyMd955h5///Of6eXfeeSfLli1j8uTJPPDAA3To0IHbb7+d1NRUwuEwL7zwAkVFRQ1ep21Qf/DgQZ544gnmz5/fqOv8fj9z586lY8eOHDlyhL/97W+oqsrDDz/M/PnzeeKJJ5gwYQIjRozgBz/4AStWrDhRO9bJ8uXLmTVrlr7pcyPWOdc73skJ1hnGU089JbS41XXr1rF27Vo9Q044HMbn85lSjkbGmNrtdm699VY9c8+rr76qpxmF46nItcWB2j4RWlkIgcPhYObMmbrMZ555xpR1x+PxmDIfaZl6tDq9Xi8jR45k1KhRQM3bkyVLlph2oY/UO7LscDiYNm0a6enpACxZsoT8/HzdFloWKK0cLdOU3W43teMPf/gDMTExejYrr9eL3W432cZms5kyEn3++efyobD1I/uobSD7qfVTq4/q80mqquL1euv1SQ6HgxkzZug+JppPihx3VVXV/UVz+aQRI0booVV5eXksXry4yT7p6quv1h/Y3n33XfLy8ur1SZG2ifRJzz77LA6H46R90syZM8Xll1+ul3/3u9/V2yfV1dU4nU7dXkIIJk2axLnnngvAmjVrWL9+vV6vtv+XMWlBpEybzcasWbP08l//+leCwaCejS+yLX6/H0C/L1RVJSEhgVtvvVWXEa2fjRkpo9lr3LhxXHDBBQD6PlvGFPYN9XNMTAzXXnstKSkpALz11lscO3bMdC9ZrVaTbSKzH55omvbGsnz5cqxWK8Y+b43XtQFkmvaziQsvvJCJ5a/Crnfp13486wwpR+tK+2osCyG46opLifnHWDi2ldhzevDc7h6mQS0yFXlkmvakpCSmshS2vAFDb+VZQ1peqMlO43Q6TSleI1PiDhgwgKnV82HvBxzrOp2lEalmI/XWHKSRiePH0u2TG+DIejK6DeTRonT9nHA4XCtdcKQDsNlsTJ00Fl4bBaXfIfpm8lrhUH1w1vQ22qYxKXElEonkbMHok85LO4/dcU6C9rrH3Wg+acqUKfpkZvHixXrqa4g+7kb6pISEBKZOnaoff/bZZ5vkk2yqj9HnxDGl/DnIW0tFh3F8Fq8ScDTRJ02cqL/h/+qrrzh69KhJz8g07VF9kqEdL7zwgmmiE+mTAoGAyTZ2JRyti+jRowdTlf/AloXQ81I+THOjxMZQHIjFq9pqtc3v95vsFQgETBPQkpIStmzZYkpFLoSot5/D4bCpbW+88QbV1dX6xCQyhbqqqrXStKemptbbz16vt0F7DRo0SJfx+eef87///a9evbWyQwnTPsZLkq2SKX0stNv8GBzbSo9zu/C3UCY+i43iQCyhUKhWmvZI25xqtC80rf26to6cYJ2J7HoXuozk3LxVwPgmXepQwtjfuRyKNkN2Dpeoa3mOHk2SkeWohC3/hewc2PQa7WPOJ9AkCXCu6zMoXQHZOWQceheLMqZJ11sQZHx+NxR8A9k5jDi0FpjQJBntbF54eQhUHoLsHK5S1/Ja4dAmyZBIJJKznu99UlbeWt64wMZeTwqflGbxybHoWc1aB4IhScVMTMvnvOQi/GV5EMyH7ByS8z7h9QtsFPgTWV2axerSrNOtbL30ii/nsvQ8hqcU1n3Slr9Dl5Gw73/MOieBds6DpDu8FPnj2FoWy8GQh02VGZQE5QtEgCRbgGFJx+javpDBaTvp4nRTGnTiCjmI3fUP/Rlq4KG1/PycMlIdQZyWMDurEtjtSmGfvz1bXWmnuxmSU4icYJ1hbNu2jd6Zk8nKW45PxDA04Sib3B2BmjdEoVAIr9ernx8Oh03la7MPcMzTkWDmlWTlrSCoWrCH3Xi9NYNqMBgE0L/i+Hw+FEU5LkOo/LT9RsqSBpOS9yWuhN7c03sf875L1uvQdDC+LRRCoKoqAGlWF4NL/klhxngy8z7FqyQxqf1h/lfSvU69tXAKjcs7HMF7NEBZ5g/IyvsvIWEh3VJByfenBINBQqGQSV6kbW7tvo3cxInYYgeTlfcfXEEbfm81Qjn+9ktRFMLhsN4uo21sIU9jukwikUjOWLZu3UrvzMl0zlvOenE+D31uZ2ynKq7seJCp7ffyzPZu7PceD8GKHNsVRWH16tX6l4zKykp8Pl+d467f70cIYQpfE0KwatUqXWbkWB/pkzJsLub0PkjnOD9LjwevB7cAACAASURBVGTx2y2dGDR8PHf12E3nvOXsihvLHe/7yelYzQ86FDAtcy+/396Frd7jYV6RPklRFL788kv2798P1Oz7o4W5Qc2XDK0Nmh0i9bRYLKZ2BINB3QdrMrRrARIUD7PPzWdYahVLj3Th5d1DeS9KHx0+fJj8AT+gc95yCjpcycyVx4iPj8eqqPSId9PDcYxhGUXc3Hkn+z2JLM9rx1eVnfASo9tv48aN+Hw+APbu3Wtqm/Y1rr5nj8g+crvdBAIBvX+154RIe2ltV1WVsrKyevtZWyZhjEIx2isYDLJ9+3Y9KcTOnTtN/WJXwlycUcyVXfcyKLmCTRXt2FDs5POyLPZ5EgmoVhRF4WcX/ozhHeLonLecD8t68tTmTjgcDlLsAXrEFDMgxc2POuzinm5ePjnWng/yUznktSGXMJ5ZyDVYZxhjxowRmiO6MOkIt/TIY9amCwEFVVWprq6uM3440RbkjQu+YtbGCzkWqJlQze6+jcqQk4V55wA1n9gtFotpDVYoFNLjh0emHuP6LrncvfUiBAp2ReX1877kqe8GsLOqZpIVGe+uhQFoev+i5w5K/HbeKugNQHdnOb8dtJ0frxtJSFhq6R1Ztioqb13wJY/s6M/e6lQAfthhD10T/DyzdwBQ44Qjw0iMtumVUMVj/bZy84aRBFQrIHh+4DqWFmbzaXEHvR0xMTF6/Hakba7P2s9tbxyS60ZaP7KP2gayn1o/tfrI6JP8fj/hcPj7cVdwcXoRs3rs45PijszP7YFAqXNs1x5yPR4PDoejznE3GAwSDAZ1nySEwOPxkJiYqMt0uVymOow+6ZLMo9zeYy//PNSZfxd2IyQs+sTBGI5mXM98Xrsy7urxHd+5k3l2T2+CwlqrHR6PB6fTqevt8XhM65k122h61+WvI9sRHx9fyzZ2u53z25XyYO+dfHCkPW8f7olPtREMBlmzZk2tPsrJyRHGdUaR9tHaYlfCjEgrZXx6AcNSXaws6sg/87IpqAxjt9v1UDufz2fyr6FQCL/fX++6rsi2ud1uk3+NXP9dl73q62e3201cXJz+7GG0F9TcS8aww2AwSCAQICPRwfSsfK7uXMCeSicfl3RmTUkG3rAtaj/Hxsbqk3VtvaDRNlpIYCenl/EZR7gks4iAsPHGoW6sLcng409Wy7GubSDXYJ1NGGOUv6nI5G77IYa0D7LX045QKEQ4HDYNckYncUX7XL4pTcFlTSUurua++VdBV54fto33ygYSFhaCwSAOh0Mf1CwWC6qq6jKuzi5i8aHOxMYdr+Nf+R25ussxDh3sBKAv6NQGoHA4rMe7x1mDjMss45YNI/Q68vxW8r1xjO/s4ovyTrX0BkyLgS9KOUqRP5ZDoQ7ExdXc4u8XZrFo1Lf8vciOO+xACFFrDZbRNlOz9/Pv/A7YnIn6H8miQ525rkcR66t76no7nU594DTaxoLgyqyik+hJiUQiaftErptxOp16+WuXk3XrkvjdsL08kbiLZ3OH1hrbteRD2iQiFArVOe7C8cQFmgxVVWslEYhMHhEIBIiPi+WmLvsYk3qE2RsHczScSkxcDDHUjPXGtUxaQgpNxu5APDO+iuGJ8/J5fug2ntx/Pge8VlMd2vpn7WFe09u49iZyDVY0f21sh1bWJgyaT5ra+QjXddzLw1v78V11OnFxccR/3+5otGvXzlSOtI+xTzZ4k/h4WzuyU+1c1zmXhReuZ3lBJv8q7IHfFqfrEbnOyGivSJlanca2aZNkzV7aujujvRRF0a/R1pjX18/aJC/SXsaEE6Y6Ai6m9jjGNVkFfFvZnvt257D9iI+0tDQsToiP0g5Nb+35RpOprSFUVVW3TSXxLDqaxN8PdmV8Fx83dtvDTd3zo/aRpO0h98E6gxEo/LeoExPTDjfq/Alph/nP4UzT7w5Vx3HUF8uwpOIGr0+1ezk3vpJPj5njiv9bkMFFKUdxWkJ1XHmcnHaFbChPoSLoMP1+RWFHJqY3buCZkJbP8iPmdrhCdtaVpTEm9UiD19uVMDntCvngiHl9wJpj7ciOdZPpqG5QxqCkEsoDjgbPk0gkkrOZqqCdX+8ZTnXYzhO9vibO2rCfaH4Ed3XfwcCkUu7dPYpD1fENXxJBQLXyzIFhbHen8UyfL0mLaerK4+bh/zofYHL7g9y/eyTbK5MbvuAEKQ86eTV/AHfvGIPTGub1875iSuYBLKinrM6WZGS7Iyw47yu6xXl4YPdI/nhwCIX+pt8XjUPh28pM7tmVwztHep2iOiQtjZxgnWFoa5lUVUUIweqiDEakFIIaNh2L/EmzechweNlQklDrvM9KMhmZckSXaTxmLF+QdJRvKzLwhTCdU+a38p0nhWGJRVGvM5YvSink02NptY6tOdaOfgnlxCr+Otugqip2ggxOKuXzona16lhd3J5R7Rpux8CEYg5WJ3DMazOdEwjD1+WZjPjeFpHXGf9/UXIhnxe35gXcEolEcuqpa4w0lgNheO7AQPZ7kvjDsN3YCdQ7zjdGprEcDofrlffTnofoHlfFr3dfQEXAXm990craT1gV/D2/Fx8Vd+bP5+8k0eJtkhyjnvX567pkXNmxgEvaF/Cr3RdR6IuNem5DfdTYH+2aYn8Mz+3uyewt53F+UhHP9V1L74TKRtmrKW1rar+fqMxkq5cHe6znhk7f8diugfxmRx/yvXEnpL/Wp43XW/BlWet6bliyZAlDhw5lyJAh9OnThx//+MdAzddDt9td6/xHHnmERYsWtZh+N998My+++GKL1dcUZIjgGYbH49HjxUOhEHuqBSU+G13IZ1NlAqFQiIqKCv18p9NJQkICo9sVssnTibCA8vJy06LZ/x6K5fpR+3FVlhEIhPW4ZDj+iT0hIYFR6aV8Ut6NcDhsqkNVVVYdTuL81HyW58bqOmif6RVFISYmhtSEGAYklvOUqx8ej0dfJBsOhwmHw2woTaS/4yAfFmbUqiMuLo6EhASGJRwh19eOCr8F/JV6HYFAgM/yY7i/VyV4ivF6FYQQeh2qqmK1WklISCAnYzebvF0QQpjqCIfD/C8vgVvPOczru1MJBAKmfTqCwSAJCQkkJMQzPLWYh4su4KfN270SiUTSpoj0SZHjrtEnPV3RmbkDAzzWZzNP540hjIWSkhIqKipMiQkix926fJJWhyZDQ1VVvXxt9hHGZJRy+zf9cYWPPzA6nU499CsQCFBZWVnLJ2nJEbTfaTJfrUhH6eXn6X7f8ujB8XhVO2VlZVRVVZl8kpakwmgbrR1Gn6QR2Q7NdoqicHH7Um7qnsft3/TjqN8LeAkGg8THx5tkRKO4uFhf6xTZlkh7Qc1eT8Zwx6qqKnYXC+4s68WlHUt4cuAOPi5sx0v7ehAUFr2fVVU1yaivbYFAgHA4XKe9tLV8moxQKERZWVktnx2trN1LFovFFLI6IvEgd/TYw/KCTB7eOBBvUBAOV9dKiGWUadQBoKysjMrKSlMqeGOyjWh/AzabrcE+Oh0UFhZyxx13sHHjRrp0qXkm2rJlS73X/OY3v2kh7Vo/coJ1hpGQkKAPFm63G6vVyiZPJ8Zk+clVs3C73foGeFCzr8aiRYvgnakw4H5iN71sWlBcVVVFIMZJWSiWC7KsrCuw1Yp3HzNmDI/MfQB+n07/R5ax9AfTTXWUlpayK9SdWelrSEttR1l5BUlJSaYY5Ycffpjh6ZWwpphLMq9l6dKlesyy3+8nEAiwtTqLnI7lfOtPpbS0lNTUVL0OVVVr2vHf2ZA4mfbffUkgENCdRmVlJQ6Hg52edMZkh1mZn1RrDVbnzp2ZP38+/Kkn/OgtXpl+e6125NKVnol76JyeSFGF1xS/XVFRwc9+9jOmjekHb37D9JkPNW/nSiQSSRsjmk8yjruRPum1ovb8a7Sfty/rCRN/y7hx40yJHKqqqmqNu5E+KScnh3nz5gE1vmHMmDGmdUaa/+iXUMqMnoX85OsBWBLak2qYtD300EOMGDECgJdffpl3333XtAYrEAiYEipE+qTFx5KZMS2LhedVwfR/MvXqq/H5fKZsiMb1Ph6Pp9YarE6dOvHaa6/pMkePHm2yVVlZGSkpKXSJreaBPrnM2TQAtz2D1HiHXsfMmTOZNm0agCnDnpH27c1fTSLbElmGmo2AO3SoSfh0xx13sHfvXpxOJ9/607hlfQYP9N3LSyO+4+n951HkqUkUkpSUpF/vcDhMXzoi21ZZWWlagxXNXpdffjn33XcfUDNBmzZtGsnJx8MiI/XW7KVNflRV5Te/+Q1DBvaHj+6jfN3HzN04lMPhTBJSwOqt+QJpXGMVzRbGdlxxxRUA+vNNVVWVaQ2Wy+WqtT6tV69e/PnPf6a1cfToUex2u55VUVEUhgwZYjpHVVXmzJnD0aNHWbhwITNnzuT888/nrrvuYt68eezcuRO3282hQ4fo06cPr7/+OsnJyfUeCwQCPPTQQ3z22WcEAgEGDhzISy+9REJCAgUFBdx0002UlJTQvXt30+S3tSFDBM8CtrvSGJBYWvcJQoVDn0O3sXWess2VxsD6ZBxZD2m9wZkS9XBpMBZP2EYXp6tuGQc/hW7jGqFDPcl0Dn4K3Rsjow4q88Dvgoz+UQ+HhJW9nhT6JZbVr0O3caDIlKsSiUTSFFQUmPoGbHsL9n5wyupJsvm5t8cmXjg4iCKf8xTUoMCkF6BkF2x45RTIr8GhhHmg5wb+UdCbve7Ehi9oAVwhO4/tGsiGygye67uWvgkVDV90mrD6y+DNS6FkN2/GzmavO6nhi84SBg8ezIUXXkh2djbXXHMNf/zjHyktPf785PP5+OEPf4jVauXtt9/GmIlSY82aNSxYsIAdO3aQnJzM448/3uCxZ555huTkZNatW8fmzZvp1KkTTz/9NACzZ89mzJgxbNmyheeee47PPvvsFFvhxJETrLOAXe529IyrJMYSfRd3irZCQiYkdKhTRoMTk4Of1jtBg5qJ3qCkemQcql9GgT8em6LWnWSiuqRmU+COw+rVof52fFajQz2To22uNAY1aIu6J3kSiUQiqYf4DJj+T1h2Kx2c0TPfnQxWRfDL7pv5rLQzGyozG77gRLHHwjWLYfXD9Iw9FZMMwayuO8jzJvK/kuxTIP/EESgsKuzFXw8NZF7fTUzLKkBpZZnGe8eX0/uzGyBrBPx4BX4lruGLziIsFgtLly7l008/Zdy4caxYsYJBgwZRVlbzgnnSpEkMHz6cP/zhD6Y93IxMnjyZzMyav7HbbruNTz75pMFj77//Pm+++SZDhgxhyJAhvP/++/r+catXr+YnP/kJAD169GDChAmnpvHNgNwH6wxj+PDhwpiCVAiBzWbjxQt28NaBDqwpSq4Va/2T3kdpZw/ywp6e+P1+rFarKSWuxWIhyaHy74s3cvmqwfhVmynFOsBrI3ex4EA235SmmELzNBk2m43xmSVc0bmYn39zDjabzVRHRpxg0ehNTPn8Ity+mk++Wh3aAlCbzcbDA/axszKBxbnptdpxZddyLs4oZe7Wfvj9fiwWix4KEAqFUBQFu9XCf8Z+yy1f9udI9fG9VLQ6nj4vlw1lKfznSAf8fn+tdlitVvqnuJnbfz8/+nxArTocVlgxfhM3fzOUomobX375pdzPovUj+6htIPup9VOrj+rySWAe2zXC4bAe/nd11hGuySpg1roBemZZzSdFju2RPkmToa1r0uqwIJjbfy9pzhD3buyjbz8S6ZNsNptpnZdRz2h6a9dEa8fojFLu6b2PO77pR4HveFrxSL2j2cb4VcDskwQ/7XmIUe0ruWPdAKrD1qi2sVgsephdOByO6pOMfRStLdHaZrPZ9Hq0tPV1taWzs5pHBu0jJCw8vaMnh6tjTfap3bam97Oqqno/1tcOq9VKoj3MrHPzGNO+jGd3dWdtaU2IpLb+ra521CUzso+Mz1DBYBCLxdKkfo62VxmtZKzr168fTzzxBNOnT+fee+9l06ZNLFu2TA+jvPnmm00hggUFBbz66qsArF27lp///Ods2LCh3mMXXHABv/vd7xg/fnyt+lNTU9m2bRudO3cGYOrUqUycOJG77rqrhSxgQu6DdTZRV7z7Rk8WE7tUsa6ifa11ReM7VjA/rz8pKSl6fHG0ePd91SmM6uhlXWVHU7x7qq2a7AQfB0RXkpNrYuIj47fT0tLYoyYxNzWXlDgb9vh2phjlS7oUs6mqPXFJqYSoqrXniBbvvsUb4LLOebyX30GPC4aa+OuJnar4sjyblJQUKisriY+Pr7UGKzY2lm9dHZmQ5WHZ0XRTvHugupKL0it4/ehQUlJidL2N7UhNTeWYkkY75156pkKZSDatBRiZ6aIwkEAoNpM4mv/Nq0QikbQlmroGq7S0VC+vdqeQUuTnTxftZe53I/Cq9katwTKum9ESNKSmpqIguKvrVtKsQZ4+OIqU1BofVF5ebloXXFVVpe/NqJXr8klGvSN9ktaObcEUXs8N8eeL9vDAd6MoCzobtQYrmm20On7UcQ/Dkyp5eO9IYlOcxFJ7fVplZSV2u91km2hkZGSYytF8n7FcUVFBYmJio9cZVQUSmb0piR+fU8r84Tt49+g5LNiVbGpbSUmJqY7GrMGK3AfL5XLVWmtnlFlWVsqUntXc1mU331R0YMa68wnZEklJcUStI/Jeqss2xnY01TaBQKDW+rTWQkFBAXl5efpaxMOHD1NcXEz37t0BePTRR/nLX/7CpEmTWLFiRdQ2rFixguLiYjIyMli4cCHjxo1r8NhVV13Fc889x4gRI4iNjcXlcnH48GH69u3L+PHjWbBgAQ8//DC5ubl8/PHHTJw4sQWs0XRkiOBZwtflmYxIPYZNMe9RkR3npZ3Nz053ah1XHuer8g6Ma19S6/dj2x9jfUUmIVH/7eRV7exytyMno/b6pbHpR/mivGODOmysyqBXfDkp9qDp94m2EAMSS1nXiHCPr8o7MLb9sVq/H5lezv7qZKpCteOIjQgUvqnIZGz72nuDjcsoalQ7JBKJRNIw8/d1Ybe7HU/2/ppUu++E5TiUMPf22ERnp4f7N/bBr1qbUcuGWXGkA8uLuvB07y/JctZOb91YLAhuy9rB6NQj/HxDP6pCbWO/RRWF94/1YM7uHM5LPsY/Rm5hdLuWChsUDE06xisXbWN6h1ye3n8+L+UNxB2yt0DdbZdQKMSjjz5K7969GTJkCFdccQVPPPEEQ4cO1c954IEHuPbaa5k4caIeOmhkwoQJ3HrrrfTv35+ysjJ+/etfN3jswQcfZPDgwVxwwQUMGjSInJwcdu3aBcALL7zA6tWrGTx4MA888ACXXHLJKbbCiSO/YJ0lFAXiyfPGk5NRxubA8cnUlVlFfFKaVbOwuAE+L+vM9QN2k5AbNGwlKLiiQyEv5Q9ulB6rSrrwg077+WZfT/13nWK9dIt3883+hidHPtXGNxUdmNSpmI/cx9eMXdaphA2V7fGEGx4wN1ZlcGf2FrrEeijh+K7wkzsdZVVJt0a34xddN/Be0bn67+KsIUallXD7joGNkiGRSCSShlB4Oa8/13Xazx/6rOXBLf04HGpaUop2jgBP9v6KY4E4HtlzEd5wBadjtc27R7rjVmN5qveXPBboxXZP09Z/xVnDPHTOemIsYe7fPZLygJuUNrZs6Kg/nof3DKcnB5jVJ5frOu3j7YJeLC85FY+jgsGJxfy48x4SrEFe2dOJzf6eKJaWnVy3Vbp27cqHH34Y9ZhxedHs2bOZPXs2AAsXLjSdl5mZyT/+8Y+oMuo6ZrfbefLJJ3nyySdrHevcuTMff/xxY5twWpETrDOM6urqWvtqaOUluen8X/cjbN7TE1CItwa4onMxs9YNotxbrl8TuQ9WIBDAarVSDqwpSmF6l0KWFNWkQh2RXkFYFXyRrwDlCCEIBoOUl5frOmkyAVZWxHDbaC/nJrg44K35rP6j7AKW56dTXFaln+/z+Uz7XYTDYT0d52K1HY8N2sPqHf0ICSs2ReW6bkd5esc5lFeU63prMdyAvk+KJnNZfjo/7JLHX/PTAegZ7+bcRDe/2uIkoJbX0jvSNl+XCzydrYzOKOWbyk4AXNOtmK+LkzhYXA1Um/ZIkUgkkrOR+nySqqp66JSR2uNuBX+rSGdvJjw7ZCv/zs/kzYNd8KtWfa8nDbvdTnl5OYFAAAXBDzoV8dPBh1h2uCMLDnRBUFVrbDeu9dHKVVVVeoh5Qz4JqJVBzWq1murQfNK77gT2l/bi0QHf8fmxY7y6vzuukI1QKGQKsbJYLAY9BWMyyrh75AG+KWvH87t7ERYegsGgaV8nIYQemgY165NcLpdp/65olJSUmK6L9OHRssMZ97IMBAL4/f5aez0Z+1kLiatBYV1pCt9+1Y7h6eXc0v07bsvys+poBv8rbM9+d3xUH27sZ4fDQUVFRa091crLy+kU62VSx2Iu6XuMkLDwRm4WHx/NQLHaSEw83s+KolBVVWVaa+f3+2v1s7Y2C6h1vyqKUqufI/fvirSNMZW81WrF7/ebZEjODGSSizOMCRMmCG0wrK6uRlEUfWALh4L87fyNpF32MP5+N5Cw+h5WfriKV44cz7pXXl5OSkqKPmC7XC6cTqceB50QPMYbY77D+6OPUOMysL8xht9uSGVzdRegZoCvrKw0xSSXl5eb4qKvyMzntvNseK75D7aSHVgWT+HmdRfhs9QMnm63G5vNpg9k2iTPuBHfvD6bGDDhx1Rf9Cti1/+BbR/8jd/sH6Efr6qqIj4+Xh84XS4XDodDdxSWQBWLRm8mePU7hDKHErvkSl75opKPKnvXqXekbc5LLmbu0EKqf7waxVdOzJtjuX39IEpEzRdCn8/HJ5980moXq0p0ZB+1DWQ/tX5q9VG9PikcJjMzk+eee04/f8qUKaYH0IqKCpKTk/VxNyZQwuw+efRPqmTlsS68fzCJq26are8/9Pnnn7Pwpee4tHMFl7XPJ6wqPL01m2Jbli4zcmy3WCw8++yz+tqa++67j/z8fH0tU2N8UkxMjL5gH2oW3xsnTFVVVcTFxemTNuEtZ9a5eYzOKGFVSRYr8lPpNWoqM2fOBKCoqIh77vwpl2Z7uCTjMO3sfn63LZtc0c3UDqNPAvjVr35F3759Afjzn//MmjVrdL3r8kmXX365MMqIZh/jl4nrr78eoE7/6vF4sFqter3BYJAePXqYvkhE9nOSv4Cre7oZl36E6rCNjaUJ7PWmsbc6jSP+ODyeau6880498cEHH3zAwoULcTpjyHD46BVfTk/HMYamV9M+xsvnpR1ZeiCRImsW2m1psVh48cUX9X67++67KSkp0Z9vXC4XdrvdtAdnKBQyTeycTievvHI87X5kP1dWVpKQkFCvbaZOncqNN94IwN69e3nwwQdNdXzwwQdyrGsbyCQXZxPGLDva/7WyEILXysfx+Nq5JH76S4hN56V9PXEkWmtdb9zp3JgBp9AVy87ONzPsnTGgBqmK7c435RnExR3P+GfUIVIngI9KuvLTVAfp88+BsJ+tgSzcagwx9uN6G+uM1AHglSPDmL9vKXGb/gJhP2WB9qbjkdcoimLSwx2282HcDVy9bBqoQYKJ2bx/pCsJSXXrHWmbTa5M3FkDyFg4AMIBDindKfDF67YwvhGVSCSSs5GGfJLdbic9PV0/P3KsB0zjblkwlt/uHUz/dh4mpB1m/kVbiMm/h9jXfgG+cq60xjFpuJ8NVe3555HerCtPp9xTSWpq3WM7QFpamq6Hw+Go5T8a8klWq9XUjsg6Iq+pDNv584G+/K88xIT0fJ4dspXY8HfEv/Ys+MpJtSexdLSbHe50VhZ34+uKDhSVl5OWVlum5muEEKSkpOh6xMbGmvSoyycZs+LVZZ/IPoqUW5+9tIyB9dnnUHUcbxZm81ZhX3rFV9DVWsjw1FJu6XqAJFuAiqCNuEOHSXq9Arxl/NCaxCUXBUi2h/CrVna5ktlaGsvCgq7scqcSFhZKXaWkpR1vmxCC9PR0fYJlt9vr1TvyftVs1VA/G6+JZpv4+HhdRklJSVR7S9o+8gnwLONoqB2Eg5CdA75yPKGmz7HzUieACEN2DgneQzQwia+FioLrkr+BWqNHf2dBk3WoCMXCHdshHIDsHC7rUDtpRUMcsvep2WQ5Owebu6BR69AiKRr4S1BDkJ1DFw42+XqJRCKRNJ29nna8nDeQqWsu4tOeT4K/smYsD/uY9tVonjlwHusrMxEnMK63JPm+RBYe7sd1X4/krfh79HYoITdT147gN/suZG15pwaTSJ0pCBS+87RjSX5nnt47mNu2TeCmLRP5xaYhbO/xC/BVQHYOMWE3928byq1ba44/vmcYbx7MYrsrnfBZYitJ60aGCJ5h5OTkCO1NSCAQQAihf5rW4q8fH1HOmPhdfO7pywOfxZtio6urq/W3XlATUmCz2fQ3XD6fj/bt2/PLPgcYE7+LD0u7MW9dhv5JXVVVfD6fnjpVk2ksh0IhzjnnHG5u/y1j4nex7HAH/rCzm/6ZXoup1vQOhUKEQiFT7HMwGGTAgAH8X/IXjInfxXuHMnjxQB/9uNfrxeFw6G+FfD4fFotFD/nQwjvmDjnCmPhdrK46l7lrk2vZIrIdRtuEQiG6dOnCzC7bGBO/i+WFnfnt1iy9jmAwKPfBahvIPmobyH5q/dTqo1GjRgnNf9Tlk/r166efv3nz5lrjsNPp1L++nAqfFA6H6dmzp67X7t27CYVC9fqkYDBo0lPzSXW141T5JKNtNJ+khawdPHhQD1HTdIzmk4zPDdHqCYVC9O/fXy9v3brVtE+Yz+fDarXq9orsZ23/qT59jvvoaP1srNPn82G32/U6/H4/mZmZ/KLXPsbE72JlcVce35Cp1xGtn71er6mOUChE79699Xtn586dpj2ptP28NHvV9+xRVzui9XOkbZKSkujatStQEzK4b98+Ux2fffaZHOvaBvW+vZETrDOMsWPHCm1wrUaPEQAAIABJREFU8Hq9KIqi/+GGQiG8Xq9p746qqqpaceKJiYn6JMLtduN0OvUByO12Y7fb9UHN7/ebFrCqqorb7a4l01h2uVzEx8frTsHj8eBwOPQBqLq6GqvVqtehJagwxihH09tYdrvdxMbGHg8JdLtxOBycStt4PB5sNpvJNnKgbBPIPmobyH5q/dTqo1Ptk6KNu+FwWH/QFkLgcrla3CdVVlaa1hhF+qRIvU+nTxo/frwwhgk25F9dLhdxcXGmttjtdt2/VldXY7FYTG3x+XymNWtNtVfks4fP50MIYXr28Hg8TbZXTEyM3s+R9tISbRgnbS1hmw8//FCOdW0DuQbrbMI4OASDQZNTsFprMi4ZMwJZLJaoZW0A8vv9psHB6/Wa6ojchVxVVbxeb711VFdXm97waHUYnYCxDJjehkWTqSiKqezz+XA4HKa3nKfDNhKJRHI2czrGXWMdkeVodZwKnxRZ1r7IaA/zWtn4lcd4TWNsY7Va9fVi0WwT6ffq8knGiWJj2qL5+LrsFQgETPUqikI4HG52exn9vvaVrKn2Mr54jaxDVdUG9TwVtpGcGchAVYlEIpFIJBKJRCJpJuQXrDMMr9dLMBgEat6UKIqil8PhMMFgkKqqKv38UChUq+xyufSyFm6h7QsRCAT0/Sag5o2kEMK0v0ZDdQSDQVwul+ktUigU0uPc/X4/wWDQpLe2r0Z9ehvLfr8fIYSpDq39LWkbiUQiOZtpDp9UVVVl+oJ1qn2Sz+drEz5J07su22i+tSGf5HK5mtSWQCAQ1Ydr+0X5/X4sFkutthg5WXtp/ay1TVVVAoHASdsrsg5VVU33UlNto91LTbGN5MxATrDOMGw2m/5JXVVVzjnnHEaPHg3UxDgvWrRIPw7HP4kbyzabTR+AHA4H48aNo0OHDgB8+umnHDhwQL9GG+CMZcAkMyYmhh/96Ed6ecGCBXp6VDj+yVy7Rvv0r5UVRaF9+/ZMnjxZl/HKK6+Y6rBYLKay3+83LcJVVZXRo0dzzjnnADWLdNevX69fo4Vj1Gcbp9PJ9OnT9bDDd955R9cdagZjo95yfaNEIjnbifRJPXv2ZMyYMUDN+pV33nmnQZ9kt9tNPmns2LF07NgRODGf5HQ6ue666/RyY3ySUYaiKGRkZHDllVfqMiJ9ktEXQHSfNGrUKHr16gU0zid5vd5a7Zg2bZr+u0WLFpnsFwwGTb6xLp+kqqoeJqe188c//rFefvXVV2u1JdJexkQOWlKM4cOHA3Ds2DGWLVtWbz9H2ismJoaJEyfq6cw//PBDCgoKTPdSOBw2lQOBQL39/Nprr5nupUi9o/nwDh06MGnSJF3G3/72t3rbEdnPFouFnJwcunfvDsD69evZtm2b6V4y3q+SMwc5wTrDsNvtpk0chwwZwq233gpAfn4+S5cujZo1MLJs3Bn+qquu0rPmHD16lIKCAtM1NpvNtNDU5/OZjiuKousANU7AuE+EFmdujNM3tsPv99O9e3eTjNdff91Uh8fjMZUDgYBpsa8QgvHjxzNx4kSgZnK0fft2/ZpoWaEibSOE4KabbtIXp3700UeUlZXpjkmL5zbvWC+RSCRnL/X5pMLCQv7973832SdNmTJF90lFRUWnxSd169atyT7JmFBBVVUmTJjAJZdcouuwY8cOU/KDxvok7Xcff/wxJSUlpsyERr3rwphcAmr2zzK2bcGCBSYZfr8fp9NpspfD4TDpfv755+sydu7cyf/+97962xJpL4Bp06bpL0X3799PSUmJqV+N/lb7SmSUYbVaTe146623TFkXg8EgTqfTZK9IH96rV696+zmyHX6/35ScIxAIcNlll5GTk6PrvXfvXv0aLeOifG4485BrsCQSiUQikUgkEomkmZBfsM4wjHHjoVCIwsJCtmzZAtR8pg+Hw/pxoFZZ+8yuoSgKe/bs0WOQjx07RjAY1K/R3r5oZS323ShTURRdB6h5axQOh01vkbS3k5regOl4eXm5SUY0vY1lzQ6a3sFgkNzcXF3G4cOH9fAJTV5DtgHYtm2b/rbL4/HoceDa+ZG2kUgkkrOZ+nxSSUmJ6Ti0Dp+khakb2wBmn1RRUdFkn6StF9NkHDhwwOSTtHVYmrzG+iTtS1ukT9L0bsgnaTbTEELU2zatz4xfsBRF0XUPBoMUFBToMnJzc0191Bh7WSwWvvvuOzweDwBlZWUmn63VqV2jhQwaZVit1lr9bLFYTHtZGtuu9bvxPigtLa3XFnWVjbbZt2+fnj7+yJEjpnZoa+Qi+1XS9pH7YJ1h5OTkmDZ1jNyjyuv11rvhYmQ4hrZpniZT26vDGDoRCoVq1WFM+1pdXW0qezwe02d6Lc2uMR0rYAo3iNxzxOPxNNgOY6pUrQ5jOJ+qqnod2qDYkMy4uDjdNtXV1djtdlMq+EjbfPHFF3I/i9aP7KO2geyn1k/UTWxPp08SQtTyQW3BJ9XlS0+FTxo5cqQwrsHyeDymfZmita0+e2mTBaO9GutfNSLTnXu93lobM4fD4SY/e0TeS5H9HO1eMurldrvr7RNN70jbNOXZ49NPP5VjXdtA7oN1NuF0OvUBx+12Y7VaTTHKqqqaNuILBAJRy8Z4d2OMcigUwuFw6IOB1+tFVVV9wNHeIkXKNA7WwWCQhIQEfeDU9hPRBjUhRK14d5vNZpLh9/tNdUSWNZ00RxMZrw3Usg3QoG0SEhJ022iDpGabcDhcyzYSiURyNtMafFIoFGoVPikuLs60Bsvok7QvJ0bbCCHqtU0wGDRtkBzpk1RVxW63N+iT0tLSTOVI+0S2JRwO17KXcQ0WmNfBBQIBLBZLvW1pyF6af9VkejweFEXR21bXvWRsh1bW7BV5L0X2SeS9FE3PyHY0ZBshRIO2kZwZyDVYEolEIpFIJBKJRNJMyAmWRCKRSCQSiUQikTQTcg2WRNLyyD+61oWMd28byH5q/dS7JkEikZwwcqxrfdQ73skvWBKJRCKRSCQSiUTSTMgJlkQikUgkEolEIpE0E3KCJZFIJBKJRCKRSCTNhJxgSSQSiUQikUgkEkkzISdYEolEIpFIJBKJRNJMyAmWRCKRSCQSiUQikTQTcoIlkUgkEolEIpFIJM2EnGBJJBKJRCKRSCQSSTMhJ1gSiUQikUgkEolE0kzICZZEIpFIJBKJRCKRNBNygiWRSCQSiUQikUgkzYScYEkkEolEIpFIJBJJMyEnWBKJRCKRSCQSiUTSTMgJlkQikUgkEolEIpE0E3KCJZFIJBKJRCKRSCTNhJxgSSQSiUQikUgkEkkzISdYEolEIpFIJBKJRNJMyAmWRCKRSCQSiUQikTQTcoIlkUgkEolEIpFIJM2EnGBJJBKJRCKRSCQSSTMhJ1gSiUQikUgkEolE0kzICZZEIpFIJBKJRCKRNBNygiWRSCQSiUQikUgkzYScYEkkEolEIpFIJBJJMyEnWBKJRCKRSCQSiUTSTMgJlkQikUgkkjaBoijTTrcOEtkPEklDyAmWRCKRSCSSVoOiKLGKojyjKMpGRVG2KYqyV1GUWYqixACPnArZzaT6KUFRlG6Komw2/BxUFKWsBeptM/2gKEqaoigfKIrynaIoWxVFeU9RlIyT0fEEdPiDoii5iqIIRVEGNPaY5MzEdroVkEgkEolEIjHwJ6AauFAIEVIUJQnIAC4Alpwi2VFRFOWgEKLbSdZ5UgghDgJDtLKiKH+kZZ7f2lI/COAZIcSn35//e+C3wG0nqWdTWAq8AKxp4jHJGYicYEkkEolEImlN/AD4iRAiBCCEqAKqFEW5BnjzVMg+GYGKojwLxAGdqZkIbQeu0upoThRFcQDXA5c1t+wotJl+EEKUAZ8afvU1cLtWaIk+EkKs/b6uJh2TnJnICZakRVAUJRZ4DJgI2AEn8KwQ4uUTlLcU6A6ogBu4WwixuZnUlUgkEsnp433gXUVRPgJWAm99/wDuE0IcijxZUZR3gXPqkDVCCOFthOyTYShQAlwLBIFdQD9ga30XNVFvjauAAiHExhNXt9G0tX7Q9LBQM7l63/DrluyjNsl7773HtGlyaV1zoQghTrcOkrMARVFepSYcYI4xHEAIsf8E5SULISq///8U4FEhxLDm0/iUIv/oWhfRXinKPmp9yH5q/TTb63lFUfoCk4CbgBhggBBCbQnZiqK8D2R/X+wH7Pz+/yEhxPlR5JUBQ4QQed+XDwBjhBCHm0PfiLo+AFYKIf7U3LLrqK/N9IPhur9Q86VqmiavhfvoIDBZCLG9KccaoFnGOq/Xy6OPPsqqVasIBoP4fD7mzJnDLbfcwkUXXcTmzSf+nvree+/lX//6FwcPHmTbtm0MGHB8qVm3bt1wOp04nU4Afve733HZZfV/hK1P3ooVK/j1r39NMBgkNTWVhQsX0r179xPW/QSpd7yTX7AkLUVzhwNUGorJ1HzJkkgkEskZgBBiF7BLUZSV1DxYxwOuaOc29StDQ7KFEFcZZB8UQgyhDhRF6Q5UGR7cU4B4IcRhRVGSgeeBS4QQXU5Wb0VROgEXAzfWpU9z01b6wXDeH4BzgSsNk6sW66PWzuzZs4mLi2PdunXYbDaqqqooLi5m/fr1XHvttScle+rUqfz85z9n9OjRUY+/++67pknSicorLy9nxowZfPnll/Tq1Ys333yT22+/nZUrV56U/s2NnGBJWooGwwFOwNnMBy6l5i3CpOZXWSKRSCQtiaIoVwCfCSE8iqJYqVlv9KkQIupDPYAQ4ppTJbsRDAW+NZTPAzZ+r1clcKuiKKtORm8DNwMrhBClJ6Bnk2iD/YCiKE9SY/8fCCH8hkMt2UetmhUrVjB//nxstprH/6SkJJKSknj33Xe54YYbTkp2Tk5Oc6jYoLx9+/aRmZlJr169ALjiiiu48cYbKSkpIT09vVl1OBnkBEvSIgghZimK8gI1E6GfAXcrimIKB2jqQCaE+AmAoig3Ar8HrmhGlSUSiUTS8lwJ/ElRFC81kQlfAs31kHsqZA8FNhjK+sP7KeBmYPYpkh1Jm+oHRVH6A3OBPcCX3yeTyBVCXE0L9ZGiKH8CpgEdgFWKopQKIfo3dKwlueqqq7jmmmu45JJLmDRpEtdffz1JSUk4nU66du1a6/xrrrmGffv2RZX11VdfERsb2+i6r7/+eoQQ5OTk8NRTT5GSknJCbejVqxdHjx5l/fr1XHDBBbz11lsA5OXltaoJllyDJWlxvo+73gkkGd9Yncyn+O8H6qyWeLPXDMg/utaFXNvTNpD91PqRKdKioCjKKiHExNOth6Ru2kAfNdtYt2vXLlauXMkbb7yB3+9n+/btWCzNty1ut27dWL58uSkcMD8/ny5duuD3+/nFL36By+XizTcbl4gymrxVq1Yxb948fD4fl19+OS+++CKff/45AwcObLZ2NIJ6xzs5wZKccqKEAzwGjBJCjDtBeQlAOyFE/vflK4GXqZlgtYUb+rTouGTJEp566imEEPh8PoYNG8bbb7+Noii4XC4SEhJM5z/yyCP079+f6667rkX0u/nmmzn//PO56667WqQ+A/LBvW0g+6n1IydYEXyfcGEKsBz4nRAi9zSrJImgjfRRs491u3btol+/flRVVZGYmBj1nBP5ghVtQmRk27ZtXHXVVeTmNs7MDckrKiqia9eulJaWEh8f3yiZzYRMciE57TR3OEA8sERRlHggDJRRs6BVPmzVQWFhIXfccQcbN26kS5cuCCHYsmVLvdf85je/aSHtJBKJ5MxECHEncOfp1kNSN2dLH33wwQdcfPHFxMfHEw6Heeuttxg7dmydkyuoSUxxsng8HkKhEMnJyQgheOeddxgy5Hi+kptuuomrr76aq6++utEyjx49SocOHVBVlblz5zJr1qyWnlw1SPN9E5RI6kAIcbsQ4hwhxEAhxODvyyccyieEKBJCDP9e3hAhxPgW2hOkzXL06FHsdjtpaWlAzWaHxgEOQFVV7rnnHv7v//4Pv9/PzTffzIsvvgjAvHnz+OEPf8gVV1xB//79mT59OpWVlQ0eCwQC3HfffVx44YUMGTKEG2+8EbfbDUBBQQETJkxg8ODBTJ06lZKSkpYyR5vmwQcf5ODBg1RWVnLrrbfSpcvxxFeHDh1i3rx5p085Sb0sX76coUOHMmTIEAYNGsR7771nOv7mm29y3333UVpayhVXXEHv3r0ZNGgQ06ZNo7i4uFl0eOyxx1AUhe3bm5olWiKRtGX+85//MHjwYAYOHMiwYcMoLS1tlgmUxuzZs8nKyuLw4cNMnDiR/v1rlpgVFRUxduxYBg0axIABA9izZw9//etf9es2bNhAVlZWo+UBPPzww/Tt25dzzz0Xh8PBb3/7W/3YT37yE95/v2YLtCNHjpiedV5++WUeeeSRZmtzvQgh5I/8kT8t+9PihMNhMWXKFJGWliamT58unn/+eVFSUiKEEAIQxcXFYvr06WLOnDlCVVUhhBAzZswQf/7zn4UQQjz66KOiQ4cO4ujRo0IIIW655RYxZ86cBo89/vjj4vHHH9f1uP/++8XcuXOFEEJMmzZNzJs3TwghxP79+0VCQoJeXwvTKvqoMVRUVIgbb7zR9LsJEyaYytdff72oqqpqSbVaijbTT9FQVVWkpKSIbdu2CSGE2LJli0hISBDhcFg/Z/r06WLNmjWitLRUrF69Wv/9vffeK2699daT1mHDhg1i0qRJIjs7W9ejmTndY6v8kT9n6s8ZSWlpqZg4ceLpVuNEqbfPZIjgGcbKlSvF+PHjAVi0aBF///vf9Y3dQqEQHo+H5ORk/fyysjJSU1P1shCCRYsW4XA4gJpPt+Xl5djtdgAqKytxOBx63K3X60UIQVxcnH59YmIib7zxhi5zwoQJpjorKipITEzEarUCUFVVRUxMDDExMQC4XC5mzJihpwzdtGkTDz74oOnzb6TepaWl+tcZqPlC8/zzz5OdXbNH4YMPPsjWrVt1W3g8HiwWi96OaLax2WwsXrxYL1966aXEx8fzfXYiqqqqiI2Nrdc2H3/8catYk2CxWFi6dCnbt2/ns88+Y+nSpfz+979n27ZtAEyaNIkf/ehH3HvvvXXKmDx5MpmZmQDcdttt3H333Q0ee//996mqqtLfkvn9fgYPHgzA6tWr+dOfavbK7NGjBxMmTGjmVrddysrK6N+/P4WFhabfr1271vQWLxq9evXiq6++4tJLLz3h+n0+H/fccw+rVq3C6XQyYsQIXnnllROW1xaYM2cO1dXVFBQUsHnzZgYMGMD777+vpzNuDiwWi/51t6Kigo4dO+qLy/1+Pxs3bmTkyJFYLBbGjh2rXzd8+HBeeumlk6rb7/dz55138vbbbzNu3Aktfz0hjD5p8eLFLFy4sMk+6Z///Kd+zYwZMygrK2uST4qPjzctqG/IJ7lcLhwOh8kn3XDDDcyYMQOALVu2cP/99zfZJz377LN069YNgLlz57J58+aT8kmXXXYZcXFxJp/kdDp1/91Yn/TUU08J49g/fvx4U4a3yLZE2isQCDB37lxGjhwJwIIFC1iyZInetkAggM/nIykpqU57qarK0qVL9fJ1112H1+vV//4i2xJpr3A4TEZGBvPnz9dlRPZzeXk5ycnJ+t+cy+UiJibGZK9Zs2bp+0GtWbOGJ598Ur+XoukdaRuLxcKLL75Ihw4dAPjFL37B3r179XvJ7XZjtVp1vaPZZvny5a3iuaElSE1N5aOPPjrdapwS5ATrDMNms+F453LIXc2YhAv5Own64Bv5r0Zk2W636wNOQ9coioIQQi9r/9eur6sORVFMMozlVIefwa7/4vjTXPAU0SvzYkBpUO/Iss1m0/XQBlTjOZE6RDtubEekng3ZJtEeorUxYMAABgwYwJ133km/fv349NNPARg3bhwrV67k9ttvb1Qcs7HP6zsmhOCvf/0r2gOWpHFo6WcjqaqqajC1bWpqKlVVJ7yHNwD3338/TqeTPXv2oCgKRUVFJyWvLbBp0ybS09NZsmQJdrudvn37snPnTgYNGlTvdY1dBK4oCosXL2bKlCnEx8fjcrlYsWKFfu6qVasYO3ZsrWxeqqry0ksvcdVVVxFJUxagP/LII9xwww1079693vY0NzU+6QeQ+zFXOLI5mhnHRk8XXGFHo32Sw+FoUZ8UrWy1WnUZkbrUJ9OI0bdqk5O6/GBjfFK0ttcno64x22q14vjPzbD9n5B6Lnee66HamsyxQCzbXemU1WEbo1yjv22obXXZJ9LfNtU+FovlpPo5sh12u71BvaMdb+h+re/5R3LmICdYZyIHP4PsUWTnraVv4vkcDDV+n4LTi+DK9rn8sMMejoWcUF0M2Tmk5H3GqPT+bPElNCyilTAmtYCfZLWeNQ4FBQXk5eUxYsQIAA4fPkxxcbH+sPXoo4/yl7/8hUmTJrFixQrT2zSNFStWUFxcTEZGBgsXLjS9Ba/r2FVXXcVzzz3HiBEjiI2NxeVycfjwYfr27cv48eNZsGABDz/8MLm5uXz88cdMnNias+S2HN9++y2pqalceumlHDhwQM/42K9fP33PD4A777yT3bt3M2vWLB544AG6d+/O3r17T+oLhdvt5o033uDw4cO609e+Tp7JbN68mc2bN+tvmoPBIBUVFcycOZNwOEwoFGLBggW1HoQau4YhFArx9NNPs2zZMkaNGsUXX3zBddddx86dO0lISGDZsmVMmTKl1nV33303CQkJUbNrNrbur776ivXr15vWKbQoB1dD9ija5X3B+e0ymNljH5+UZvGvgmzcp0cjSSQ7FkN2DuR/SVmgC1nJPgYkljG761b2dY1ls6cz6yoyyfPVnRBBIpEcR6ZpP8OYPHmyuLvnd0xst5/15an0iKvixq8vwBu2oqoqgUBA/2wPNSEDxrecwWCQLl266G9RDx06hMVi0d9I+f1+01u0UChEOBzWH0qEEASDQT0MAuDAgQOmOn0+HzExMfqDit/vx2618KuBuZyT4OGhTT0pI5UHBuYzsd1+vizPZFBCMbesO48Sf4wuI1KmsRwMBsnMzNR/d+TIEYLBoB5WEgwGUVVV1zuabYLBoGnjvdzcXByO429dfT4fdrs9wjYws/dRLu1wjIe3nMuClVtbRWrpQ4cO8dOf/pRDhw4RGxuLqqrceeedzJw505Sm/U9/+hNvvvkmK1eu5Je//KWeNn3evHns37+fiooKDhw4QO/evVmwYAHJycn1HgsGg8ybN49ly5ZhsVhQFIVHH32UadOmUVBQwE033URJSQm9e/cmFAoxfvx4maYduPrqq/H7/bz33nvYbDZGjx7NnDlzuOaaa7jmmmtYtGiRft8ZUVWVG264gbfffrvWscZ+7diyZQvTpk1j2rRprF79/+ydZ2Ac1fX2f1u1K616d5Et94qNMcYGV1ooBifETiAFAoSamBKKndD8YowJBAgEmxJAVIf8IWCKQ4IBY2MMbrggyd0qlmR1abWrbbM7835QZjwzWq0k9zLPF/vu7px7z7mj+9xy7jkrcLlcPPLII0ycOPHwKtl9HLF+KikpYdq0aZSWlgJtLlCDBw/WnNzNmjWLgoKCdukMumrXDRs2cPXVV1NcXKx8P3ToUN544w3Gjh1L//79KSws1Lgj3X333WzdupWPP/5YGasOpu7HHnuMZ599Vhm3KyoqyM7OpqCg4JBcSaOgXR+pOemT6p4s3NyTHokSs3pXcnFuDU8W5bGysafy+2ic1KtXL+V9P1qcZLFYFPc0QRBwOp1kZWUB4PP5qK6ujslB0TgpKytL0e1IcZLValXaHc02a9asaddH559/vnTP8DLOT93D5039eeDbVKVem0lkWEItU3t4mZTZQIXPyYs7cihuzVTqFQSBlJQUxR2vrq6O1tZWpd5oukSzj1q30tJSLBaLpp/NZnNMe0UiEY0MfT/7/X4cDkeH/RwKhXC5XEqyWo/HQ319veZvT/9+Rntfc3JylGcqKioQRVHzLkmSFNM2q1atOu44yUBUGGHaTyW0trby1PZ+PEU//H4/Dw7fzi/71fB2RX8ikQiSJGkGg1Ao1K4s3xGAtiN3h8OhDA6RSASbzaYMHsFgEFEUFRmSJBEOh2lqatLIUNcRDodxOBzKIk4UI9w9rIxeCSHuKR5HkxDCYhEVPQRB4Lo8CzcNrOCpPSM6bLe6HIlE8Hq9+P1+paz2TZcHWHlQi0QiGj1kmWo9TCaTZvIjy1Tb5ur++5mW08CdheOpC8buq6OJPn368Nlnn0X9Tr3Jctttt3HbbbcB8Nprr2l+l52dzZtvvhlVRkff2Ww2FixYwIIFC9p917NnT7744ouuqnBKYePGjaxcuVJ5P0ePHk1tbS0Af/zjH6mqqtJED5RRWVnJPffcE1Vmd05a9u7dy+mnn84TTzzB2rVrueyyy9i9e3fUk82TAZs2bWLs2LFKeePGjYwZMwZouyv48ssvk5GRofn7l9FVu8rRsHbs2MHgwYPZtm0b1dXV9O/fn++++46RI0dq5N93331s3LiRZcuWRV1cdafuuXPnMnfuXKXct5O8MocTak5qW8hAq9nBa5UpfFnfk4eGbmGsW+Cl0sGEJXPUsV3t8toZJ4VCISKRiIaTBEHoFifJCzR5Mi9JEqIoKjIEQdDcB5LrjVWW71QFAgGljqPBSXrbRIPJZFL6qM0+bk296xvT2BnJ55UKkXMz9vPAqN00CDW8vW8AW1pSiUQiBINBjX0cDodSbzjc5i7fmb3Uusn3lOQFll4Xvb1EUaS1tTVmP8sLZflZeYEm20sURc38JRQKHVQ/e71efD6f8pnD4VDeJbldatvo52UGTg4YC6yTDGo/8VAoREH5QF4Ys55P6gfgCdkIBoMaH2W9z7K8QyQPQPJumPouk7oOmQTUuzHRZEarQx44z0+rY1SKmzk7zkGy2jCbw5o6JUniH/v6smTCenrXCNSEEtrJ1PumWywWbDabMnDKO2Fq26jL4XBYUz4Y20zIbOZeZf1hAAAgAElEQVSKXlXcvX0ifrMTi8XftU4zYECF2tpa/H6/5q7MunXruPbaawE444wzOny2d+/eURde0PXTjj59+mC1WrnqqqsAOOuss8jIyGDnzp2aRcjJhE2bNmnsql5gTZs2jWnTpjF79mw2b96sfN5d5OTk8PzzzzNz5kxlIl9QUEBaWhpLly7VuAcWFRXx6KOPMmjQICVwQH5+Ph988MHBqnjMEGvcrRDSuGHd6fy/0XuZN3QrC/aMxXMYOEnNB6IodnlslzlJX4d8MqTmJDXvRZOp5yRZpjzR1nOSIAgaGV3hJPn0RX6f9O3W1xGJRKL2kfr0pCP7yOWV7nw+KU9hel8PdwwoptSfxGOFffGbDtQTDAY17ZD16Y69ZN3U9lLLFASh3elcV+cesr30/SoH1ejoXerMNnI71e9SIBDQ9EE02+jLBk4OGAuskxw1QSc/eNKZnFbFsuqenT9wlDE4oYkb+pVyV+GZ+EVbh79rjVhZ0dCTCzP38WblkKPYwq6hR5yXPw7axfztI2gUTr6dqFi5lYy8S4cX69evx+12U15eTl5eHosXLyYjIwOXy9XpfaBY6OppR0ZGBtOmTWP58uVceOGF7Ny5k9raWgYMGHCwKh33mD9/vqZ87733AvDVV1/x3nvvKacgh3ri88tf/pJf/vKX7T7/+OOPueuuu5Ty8OHDOZLu+7Ir5PEAb9jKo3vG8qf+G7i97xbur4++QWDg+EFEMvFlfU/WNPfkVz138Oq473l69zC2+tvnMjJg4FSFcQfrJMPZZ58tyTsn8g7POdktXNevnBvWnoYgCBp3E70ftHzCJU/c5B1HtR+03jcdUHaZuuJrLdcxMsXDo6O2MW9zPuub0jusIxwOI4oig1LDPD2mkJmrz6TVH+y0DvVOVbR2yxGD5HZ3Zhu9n75sm/zEIE+NKeKlHbn8e3+Opo7vvvvO8KU+/nFc9dHDDz9MY2MjmzZtoq6ujtGjR7N48WJN9MCO7gMdLuzdu5frrruOhoYGxc3z4osvPiJ1dQPHVT8ZiIp2fRSNk6KNu3HmCE+eXkRxk4PFewcqog4HJx0q74VCIcxmcztOUp86dHYH60hwUndsYzeLjEutZeHSXe36aNKkSZq/o2Aw2Gm9al1GuOp5cFQJaxtSWbQzn5ZARGOvSCRCJBLplr2O5Nyjq+9StH7urm06e5fkDTO1zK+//toY604MGHewTiWoj9QlSWLUqFFMvvB88otu4K5rLuaJgmWawUL2MVaX1X/oTqeTn/zkJ/Ts2Xb69cknn7Bt2zbNM+oBSL6Dpf7e5XJxyy23KOWn/vIEP86r5Zo+Jfx5xzDWNTqx222aAUd9pG42m+nRowezrroK8457eeyG87hj0X9j6iG3QR2e/ZJLLmHYsGEArF27lpUrV2rcSPQEoJfpcrn47W9/q9j3hReeZ1xCGbcP2s1LJQP49/5k46jfwCEjVpb5zu4DHS7069dPCeFvwMChIBon/ehHPwLagok8//zz2O12JOCB4lE8fdoGqiP1fLK/jXPkcVieFDudTn784x/Tq1fbacmyZcsoLi4+JE568sknMZvNCl+Ew2GNi7ne9d1sNpObm8svfvELRcajjz7aKSepXccALrnkEiWv3fr161mxYkW3Oen6669XPnvhhRfw+XxKHUlmH+My3ZyV2cLZ6fXs8kRPwaGe8AMkJCRw6623KuWFCxdq6pXvoMn22tycwvXrzuDOIXt4cdxW7v5+MH1Om6xEM62qquKNN97odO6hLickJDBz5kwlsMi//vUvSkpKNO+SPliE3l76fn788cc175K+n/VzD5PJRN++fZk5c6Yio7N+1tvGarUyffp0Bg4cCMCqVatYu3atxrVRrcfBYu7cudx8882kpqZy5513snz5cvbt2xf1t6tXr6agoIBgMEhKSgrPPfccZWVlFBQUnBIeKUfLVsYC6ySD+kKmKIoMGjSIy2f8BOxfcV64mWfsds3EzO/3tyurL4FKksSkSZMU15jCwkL27NmjPGMymRBFUSmLokgwGNTItJklLh/pgmW3QsNOzp1sodSfyH07z2ZfMBG7XZtoWB70ZD2CwSA9evRoywPz7W7G1xVjtVo1dfh8Pk1ZvmQrD5w+n4+xY8cqYcB9Ph9r167VJHUMh8MxbWOSRKaPSiVu+e1QW8TUM2w0BO0s2DOOHa2pWK3N2FX2NfJaGDjcOFz3gQwYOFrQc9LAgQOVnF779+/nlVdeOZAUGPjT5sG8NL6Y0lAWe/3Jyjis5qTJkycrnFRUVMTu3bu7xUkmk0mTV2zRokWaUwb5RCEWJ+Xm5mpkPP74413iJPUCYezYsVxwwQVAG9989913miTMHXGS3RShh6OVdFsLl+e3Yl87D+qKGX5aKoXNCfSOD9DL4cVpFtjiTqHIl807xcOpaIHPo/SRPniN0+nU6PbEE09o2iEHdlDbS7DYeXbfWGZkl/DSWYWs7nGBIqO4uJh//vOfMflVby+AqVOnKq7Ja9eupbKyUhO8RB3kIxwOIwiCRobFYtHo8cwzz2iCmcjBTdT3utTvq9/vJy8vL2Y/6/XQ2yYUCnHWWWcpUVhra2vZvHmzJtEwcEgbZm63m6qqKiVS5quvvhoz5cnEiROV9syYMQOv10ufPn3YvXs3Ho+HxMSTNxT/4bSVyWRKlCTJ09GzxgLrVMGwn+L86FYgvdOfHi6Ykbgkq5Sf5+6CLxugYQfkTcRZtpp7t52FxXIQr9/QK2D1QiymQYe/wR1CYkpaJVf33I5teQXUFkLeRFxlq/n5lilY7dEjfBkwcDhxuO8DGTBwPGKfz8mL5cOZ038jd26bRMOxbtBxgDRbgNFJdQzJreT0jC2k2gJUBxOoCzow7/4E6oogbyL5ZatZHshkkzeHCr+L3XUCFpt6U/VIB14y8WFNP/Y0mXjQuQgKR8OIK49wnacOGhsbGT58OPv379d8vnr1auUktDtYtmwZQ4cOVVzNBw0axLfffnu4UzccdXRkJzi8tgImANHDM2MssE46qMOwhkIhdu3axaeffgpShKnuCjKtdpr9B4JJRCIRJZS5uqzeLVy9erVyfFpaWqrk1gCUkLMHQq63hTkl5OFPQwqJt4S5+4cx/PScBxkWWkTv8k/5sCIXvz+g2eGRozLBgfwWaj2qqqra9ADOJoURSU3s8B8IJiGKokYPQRCUiECyjA0bNih+24WFhQSDB+Koy7tfelsIgVbuGLCdwYktzN82ggvGP8AoXqJ3+acsq+mNLxDEFjnQbnlXDdDIN2DgUDF16lSmTp16rJthwEC3oOeknTt3KmN5U1MToVCo3bj7WVUaQ5yp3NxrE3P3943JSSUlJRpOCgaDSJKkcJLsIqiuw2QyKW2ANh5T59bqLifJ7VbXEY2TAoGAErJc5iS5XFhYSCAQUIKbWMUgF2RVMb13EQNcHjY1p/FtjYt39w+gwu9EpE2/2VN/xegsP73LP+XftXn8oyRbOSULhASsYuecpG6n3Da1bnpuFAQBn8/XLreT3PZVjcn8rXkGv//4dvat/Q/fiOdE7edYZWhzp9u1axcA+/btU+Ybsi4mk0kTcl3fz2azWaOH/t2Q5wNydEVZD/Xvy8vLNTL0dejbHc02a9euxeNpO+jYsWOHph8EQWhnm46wfv16zjzzzHaft7S0aO7odgWvvfYapaWlmuTjaWlpmpQIJyo6shMcXlsBMfOWGEEuTjJMmjRJkgdXOUeVvHt176Aivq9zsLyxn/J7r9eruSivL/t8Pk2eCJ/Pp8nhEAqFNG4MkiQR9ntYNGE3Ff54nt41CLfHpzly9nq9OJ1OZZDz+XzYbLYDpPC/QVTtKhEMBpV2/abPXsJCUBNNUN/u1tZWHA6HQpjygKfO36XOlSKKIj6fT6u718NjZ5YRZxGZXzyM+pYALpdLGdDlRIqybfx+v8Y2giAYl1VPDBh9dGLA6KfjH1EDKHTESXLuomgcZDNFKDhzHY9uzaM4cCACbmecJAiCxlVMkqSodRxOTgKUZO16PWR0lZOyE63M6FnBj3tUUtQUzxf1vVjTkI4gWTrk60PlpIkTJ0rqO0B6++h1a21tbWcv9f1jeSHTM9nM06d9z78qerBkdzoJCQmaOjqzl9rVTt/P+hyc0Tg8Wj+r3U31/ay3VzgcJhQKadrdlX6O9i6pQ/5LkqTJdxYIBDR1fPnll1HHugULFrBr1y6qqqrYu3cvY8aMYcmSJRQVFfH222/z+OOPA/C73/2ODz/8kOnTpzNnzhzi4+N55513uP3224G2u/Q333wz06dPB9qiqGZmZnL77bdz4403HtQJz/GEjuxktVrZsmXLYbPVs88+O0KSpKKO2mGcYJ1kiIuL0/goy8n6AIpaMzkzs5o1wQN/yPo/7EAgoBmA9MkQ5QudMnmZzWZEUVRkiGKEOwf/QFMkgRcqT8cRb6LVH9L4F8v+8OoEgmp/dzmhoNrf3Ww2KzK2B3K4MquQ95sPtNvv92v0kBd96mhA+rsADodDcwcrEoloZFyXt4M0h8i8XeOwOC1YfWGNbTry35bb2ZUdKQMGDBg4mRGLk+R7RnoOksuvVIzgruFF3LG9PyIH+CIWJ/n9fmw2m4qTxHaTZJnnZBwqJ8n1quuIxklOp1OZzOs5yWYK87Pe+5nZax/fNeVwb/FZbK+HlJQU7PFgpz1fB4NBzWRez0ny3bHOOCk1NVVT1ttHr4u8gFXby263a5L+Wq1WAlYn83ZPYOHgb3ALNtb7szR1dGYv9Z21aMmd9Xewor1Laj3ksjqhtN5e+jtY+vve+nbq9ejMNpFIBKvV2u4OllpGR9iwYQPBYJCPPvoIq9XKpEmTWLp0KTNnzmT+/PlKkI5FixaxaNEi5blPPvlEdmkDYPr06VRUVGhki6JIXV3dcbu46moeR4htp1GjRh02W8VaXIGxwDqlsLUljWt67YAKiU6iSx40Ls0qo0+Cnzm7xiEdoTp2tKbSP9GHwxwmIB6ZV/jM5BrOz6nnD9unIkiWzh8wYMCAAQOHFevc2VyYuotLs8r4uLZf5w+cgLCYRCanVvGLHtvZ4UniD8WTqAnF/8910Husm3fIqAnFc/+2MSwctoG/liaxqSWr84cMRMXGjRtZuXKlslgbPXo0tbW1APzxj3+kqqoqaqJ5+fQlFiorK7nnnnsOb4MPI7qaxxFi2wmOnq2MBdZJBrXfuCRJRCIRpbw/FIcgmsi1e6gMtB1pi6Ko8S2Xy2q/ZrVM+fto5clpVfy8xx5u/m4oQYcJEDusQy1TbqO63bHKftHEjpYEBsc3sKklM2odepn6OvW2UesxMrGB2/pu4a4NA3BbrO306I5tDBgwYOBURlfHXRn68tPFfXhxwja+qs/FHY4jEonEHHej8Ye6zmh1dDaWH6zMWHUkmgPM6FnJFb2qqArEs3DbYLa6U4mPdwBil2yjt0W0ssVi0bQ7GvRc1RVdYnGh3l57vQncv2UoC0dv5v/tHMuO1pRu20vOpaWuI1adXZEZaz4jyzyYflbbRt8n+naKotiujmiora3F7/eTn5+vfLZu3TquvfZaAM4444yYz3eG3r17R11wHC/o6glWZ3aCo2crY4F1ksHn8yn+4nJ+BfkIWhRFNjWlMCG7leXNbT7t9fX1NDc3K8+Loojb7VbKgiAQDoc1l0KTk5NJTk4G2sKg1lTv56c9SrmqVxW3rx9KaYsVe+CAzEgkoqnD4XCQmJiouO+1tLTg9XoV9wX54ql8EVQURcWFT8bm5lTOyvKw1zQgqh6CINDS0qJJ9hcOhzW2cblcih6CINDU1MSZjl3c3r+EBzYPZmuDE7u9Y9tYrVYSEhI0biMej0ext7q9BgwYMHAqojNOslqtyjgM7cfy2pCdf1dmcG3uFub9MBBBaOOCWJxUXV2t8Ig8SdbznLocFxen4SSPx9MlTlJPiu12e0w9BEEgwRzkjIwWLuxRx6iUFlbVpHL3xsHs8iT8j5PM7ThJLUOvRyQS0XCSxWIhPj5ecWnrKifV19dr8mDp64mPj9fo1tjYSEtLi7KIkO+9xbJXYTCZF2vG89DgtTxTNZFP6sSYfRIKhTT9HA6HSUlJ0bSjrq5O0U2OrhrLXk6nk8TERMV9r7m5Ga/Xq3mXBEFQ2i0v6uRAJNCW2DhWP4dCoXa2UQfG0L+vwWAQt9utkREN69evx+12U15eTl5eHosXLyYjIwOAm2++GWhzb1uxYoWSc0uG2+1ul+8p2md6RPtNaWkpF198MVOmTCErK4uHH364S8/t3LmTuXPnkpOTQ1paGo888khMffXo6glWR3YaN24cxcXFPPPMM0qfFhQUHNF0OsYC6ySDesLv9Xrb+buXxo3klnFWrv3VEqAtxr/a/7qhoYHU1FTlpWtpadH4KDc3N3PjjTfyY+t/4PuXqUsaTXX5buwWE/funESTzYHd3ixHWFFkqsuAZnC44YYbKCsrU/zdW1pa2vm7h0IhzWXV7WIcfx60n8ueadNj0qRJmsgwbrebhIQEhTTcbrfGt9rr9XLZZZdxx4Ad8P3f8feayqZNe8hLCPLgrrMpNSVhszW000NtG0mSmD9/vhIue+HChXz++efGHSwDBgwY+B8646QePXrwyiuvKL/Xj+UNDQ281zCKp4et5ooBfj4qTWrHSb/97W+54oorAPj8889ZuHChJpBGc3P3OOmmm26ipKSkW5wUFxfHkrfehA+vgx/eZnlSKitaBtDT0Upvh4fBznp6J/gp9qaxqrEP84viiVicOJ1O0tLagiNMnz6dO++8E2jLEXbllVdqclTp293Y2EhKSoomYuL8+fMZOXIkAI899hjLly/vlJPkZL6x7LNkyRLl/xdffDEmk0lZqLS0tGjuGXk8nnb3jAYNGsS9f/sb7FnOg+//klBTGluEAwuB+vp6TZ1ut5v4+HjlDpbH42H27NlcdNFFALz//vssXrxY8y55PJ528xm1TEmSeOWVV5SgFFdffTU1NTXKu6SfJ/j9fkRR1NyPcjqdGlvo39fm5mbNIi6abWbNnMmNPTbApgKa+1zGLf8wkZZow2EJk2aLHulx48aN3Hrrrfz617+mrq6O0aNH889//pOUlBTGjRtHXV0dVVVV7RZXAMnJye3yPUX7rCvPASQmJhIMBunXL7rbbrTnli1bxjXXXMOMGTO444472Lhx4yGfJEVDR3YCGDZsGC+++CIAs2bNahf85nDDWGCdYigK9IR970OwBeJiRphsBxMSF+fWMHnXHPDthLyJZJSv5uX9w/jOm4/IAbfAI429/lQIbIeGnZDe3ZxYEudk1PFT7yLYuBvyJuIo/4K1DQN4omwgYePOlQEDBgwcNwiKFv6y93TmD1rLuupRNOM4pu1JsYUYllzL6Ixyejm99HK0kmwNwnwbIEHeRM4XV9PDJVIRSKAy4OKzin6UCtmYrG2LNn/Ejf1UpJr+F8Cv/svtjeP5V42VZXX5nT9zgsCERI4jwNBkP30TfGTa/SSavGQ6BDLiQiRYwthNYWzVq6C67T1JLl3Kk6MdhLESFC00CdHzaj744IMx637hhRe48cYbj4RaGvTp04d169YhSRKzZs1i6tSpStLeWLj66quZN28eq1atorKyktLS0iOywOrMTitWrODll18mIyPjkJI7dwXGAusUQ1CyQ+9zYM9nMGxml59LsQaY2/97xIjA9uzbOTu1Fja9wr7s6Xy+ykd8/JE7Zo0GCRMMugx2fAxn39Xl55zmMHfmbyLH7mFr3Cx6D5kKmwpoHXoNS78sISnpVGQ8AycS5s6dy80330xFRQUFBQUEg0FSUlJ47rnnKCsro6CggHnz5h3rZhowcFhR4k/m3eoBPDB8B/cWjzvq9WfaA1yUU8mktCqy7D62NCezK5DJ1toMKgMJtJqTeOufH8C/Z8PGF/mgIoeCmrHK820nMmZsMeo4ZZB7OreuH8nTZ24nwx7QpFw5oeDZz9SsesZmVzIkoYk8p4cWwUJFIImKYCL7gwlscDtxSwl4ScQbsdHY4mfmz3/Bjb1+gI0v0jTgKn7x9yrNaejH3WyGIAgsX76c++677/DqFwWyB4/JZCIrK0vJ79UZ0tPT+dvf/gbAtddey7Bhw45YG2Nh2rRpTJs2jdmzZ7N582bGjBlzxOoy8mCdZBg/frykDkEqSZLiJidfrJyZ38RZGU3cv3UowWBQ43sdDoexWCyaUOQ58QIvnLWNf1dl8vcdOZjMFuXYXvZllWXI/u56mfqy3W7XJD9UuxvIfuJyWW63XsbEXB83DSjlt+tOj6qH2WzW+G8n2iIsHr+Dbe4EnijMIyyZFdcAURQRBKHTduttY7VaNckp1e2ORCKsXbvWyN1z/OOE6SO3283s2bN54403NJ/PmDGDt99+G5fLxa9+9Suef/55DWGfJDhh+ukURrs+6gonya54QExOMiHx2OhttAg2Hi0agIRJGeuPDCeZOT21hV/2rWR4ipevatL57/4MtjS6ECJSOxmd6aHnpGi8dyw4Sd1H0eqRQ42rdVPXKwiCJlFzV/s53SnxyOidWEwS8zblUytow7Tr7WWxWDSpV9T92pV+lsPty+0OhUKYTCZN2Ha1vfRzD7tZ5LTkJqbkehif3oTLGmZrUwKF7mR+aE5klyced4BObWMymZT3NVo/r1mzpltj3VtvvUVDQ4OSu6mmpkaTywna53vKz8/vNAdUtOfKysp44403sFgsJCYm8tRTT3WpPrvdrpwujRgxgjvvvJPq6mruv/9+Xn75ZR555BHOO+88JkyYwKWXXsqyZcs6Uveg8dVXX/Hee+8p9/Wee+45zXt9EIh5smAssE4ynH/++VIsf3ev10tuWgKvnvYltxROZU+Nl/T0dOV52WdZiQ7ka+T5sVtY3pDH0pr+NDc3t8s5ovZR7sjfXV1HU1MTSUlJGh9ldc6Rrvi7NzQ0kJmext9HfsmC3WNZt09Q/Oeh/R2s1pYm/npGEWWBFF7aNxyvtzWqbfS+/7FsE+1+mt42n3/+uTEpPP5x3PVRY2Mjw4cPZ//+/ZrPly1bRmFhIXPmzNF89vXXXytZ5h9++GHGjx/PhRdeeFB1NzQ08Otf/5o9e/YQFxfHgAEDePHFF8nMzDx4hQ4Pjrt+MtAO7fqoK5zUnXE35G3i6TGF7PCl82rFUJqb3UeEk87K8nJd3724rAJvl/Tgq4aeWB1t9zU64iS1zPr6+nacpL5TpL/v09raitls7pZt9Hew9Jzkdrvb5cGKxkmXXXaZ5u8oWh+oy125Z6S/gxUIBNrdJ0tPT8eExIzsvVyRvYvXK4fzRUMvwNQle+nzYEW7g9Vde+nvYNkQOLenh0mpVYxMbGCXx8nm1p5scGdR7k+kvqHxsNvm448/PqSx7pNPPsFisXDxxRd39ZFj8txJgJgLLMNF8BSEX7SxpimH8zL2sacmNcYvJe4dspPN7jSW1vQ/au3rKkRMLK/vzY8yy1m3Lzfmb28aUIo3bOXv+4ZzpHKAGTBwuLB+/XrOPPPMdp+3tLRoJlyvvfYapaWlyuIKIC0tjZaWloOu22Qyce+99zJ16lQA7rnnHubOnasJRGDAwLFCQLTw4PYxPDlyA96IjZeaMzp/qBvIjfMyZ2QR/Vw+3qgayrdNuTS3eLDZLMaE6QhAwsTSmv6sKLMxf8xezkqp5u/7huPu/NEjBjMSwxMbmNyrjHPS69jpS2VlY0+eLR1Faa1Hs6A6HtGVXE7Hw3MnO8yd/8TAyYhPavtyeVYJ8ZaOQ4n/uucOsh0BXiodfBRb1j38tz6PiWlVZDmiR94BuCijjEmZDTyxc9gRS35swMDhxIYNG0hLS+PCCy9kwIAB/OxnPyMcDjNs2DD27NkDtO0a3n///VRXV3PzzTdTV1cHwK5duxg6dOhB152WlqYsrgDGjx9PWVnZIeljwMDhhCds48Gd45iYWsX9w3cSZz70lBhDXE3M6beRvwz9hkJ3EjdsOptvmnr8L3iTgSONPd54/rBtIqX+JP467GvuHrKL7LijF4k3xRrgRzk1/GlwIW+O+ozrexdT4nNx7YZxzNt1FisaeuGJHJI7mYFTDMaGzEmGaDlH5LKcu6OpqYmmJliXmsQ1A2v4v7oDIVrNZjPNTY3cOqiMMxObuOnbwXgiXiyWAzkc9Hki1CFMTSYToijS1NSkfCbXKSMUCuF2uzVJCtUy4uLiaGlpUdodLReFogfwQWI2tw6p4rmKnhpbuN3NXNm3mpk5Vdzy3RD2+4NYrU0d2kY+wlcjmh5q/+1QKKS4AgiCoAn5qfapNmCgO9iwYQPBYJCPPvoIq9XKpEmTWLp0KTNnzmT+/PlEIhGmT59ORUWF5jlRFKmrq2P48OHtZHY1UaNe3vPPP8/ll19+eBQzcMqhq5wkQ31PB9o4Kdq429pq4bf1w7l7yC6eOW0984sGsdeb0CVOknNMpdhCXJBTz4UDa0iyRXhvXw8e3jwGr2AmJeXAZLo7nNSRHiaTSZObURAExT2sI9t0xkly3qdYnKS2hexup0d9fb3yTDRdZHvJMJvNmvxBZrNZkzeso35W5+HS62axWKhrbGFRYxZv7kxlZs99PDtiDavq0li6L5e6oL2dvdQummazuV27o+nRZi/IdQQZm+FmbHaQ4YnNZNgDfN+cytf7E/jb9t7UBeP+188CdnvHMvX9DG1uguocnKFQKKZtoo29Bk58GDPAkwxOp1P5g/f5fJjNZmUgi0QitLa2Kr6+S2qG89fh3/LjW+Yj9L8UgLt+dQF3DCnFbJKYu+Ns/KYgLpdDGZj196MCgQDjxo3j7rvvBtoGsCuuuELjTyz7t8twu90kJiZqLpbeeeedSsjOV199lU8//VTRQx6g1IsXtcyPGofwbI81vPOziQRH3QDAPTfM5JoeO8mLb2XOtgnUhSMkJNhj2iY3N5ennnpKqeOyyy6LqodMLB6PB4dDa5tf/OIXXHbGxNIAACAASURBVHppmy1XrVrVna4zYEDBxo0bWblypfJ+jh49mtraWgD++Mc/UlVVFTWTfGVlJffcc09UmV1N1KjG7Nmzcblc/P73v+/2swYMQPc4CdoWAQUFBUr5iiuuwOl0djjuLigezE/6NPDXM4rZ2ZrCktKeuIZM4u575wJtE9gZM2aQlJRIijVEn3gvA237OSvbRx+nh3XNWby0uy87Qr3AbMGaAImRCHfccQdjx7ZFAXz99df5+OOPlXbLm4wdcZKM119/Xfn/Nddco1n8eDwe7PbYnJSTk8PTTz+tyLj88ss1dTQ3N8fkJI/H0yVOSklJ0SyY9LroyxaLhSeeeELJnzVnzhxKSkqUu0ytrW13nGPZy2638+qrr3ao26ulNpY1DuaKnhXMG7Ubp1lgbWM6Gz25FHtSqPG0bTzJY1NjYyPXXnutZtEVbKmnX5aZDHuQXg4v2ZYGBiQL9In3Ikomij0p9DhrFqljZhDKPI1VL7zEl0Vf4nA4SIpru2sXDoc1i1S9Lcxms6afr7rqKk3gDI/HQ1xcXEzb9OvXj4ULF0btGwMnLowF1kkGdVQi+Y9cLkuSpPm+KeJiQckEnlx5D/z3BogEWXSGmbeqhrCsti8iZsxmbQQcvUyZEOQLxKFQSPO9vk0dtSsxMVGR4XQ629URS2YIC/dvH0dB7kskrJkH4QCLh5t5b38+z5SNISRZMJncndrGarVqLkJ3VKdMRPp2mUwmEhISFBnqQdmAga6itrYWv99Pfv6B/DDr1q3j2muvBYiZO6R3795RF17Q/ROsu+++m127dvHxxx8rkwUDBrqL7nAStI2r6nG483HXzL+re7LG04/zMvZx1+Ad9HD8gO3FFyHUgpSQzesTPOQ4BUSgwu9iQ52Td/YPYps3rS33UFMTSUkWTfS4WJwkR7iLxXOiKGr0kHVQ20Jd1usVjZM64lL577MzTuooqare2yJaPeoytC3KZLlyZL6O+lmOnKeWYbFYYupmNptpFeN4p3oI71QPITFUzcRsNzNyyvhDvx+wm8P42ULyy8+Av5Hk+BxeOLMVp82Ewxwm1RYESaIp7KBRcFARcLGjwclmXx4VwSQaBAeiKLHguuvpP3Q00HaqprefxWLp1Bb6flb/K5/2xbKN3W5vl9jZwIkPY4F1imOvPwXuLIdHHJA3kbiy1XxUk6/ZzToRUBuKh9/vhEfskDcRa9k3vFUxEKvVyGtl4MTC+vXrcbvdlJeXk5eXx+LFi8nIyMDlcnHTTTcprkkFBQXd+jvtzgnWfffdx8aNG1m2bFlUFxgDBo43hCQLn9b15f3ybKZNPIv7hMcgbyLsW8MjhachODNpCbe9y/rocgaOf1T4nbxflcynTW13wgV/C1dccDY3Bh6HvImY963huZ0jsccnEfhfwt6KOjfp6QeCoOijCBpBSA0cSRhh2k8yTJw4UVLnwJAkSZkgRSIRQqGQZqdaEASGDRvGL1LWMMW1nffLMvnbnsHKxC0QCGC1WpUdrkAggNl8IH+UIAjExcXRv39/pY7CwkJNhmyfz6cp+/1+4uLiNL7oOTk5yg5OZWWlEvIc2nYLw+GwxmdbL1OvxwflWfx15wBll0jf7mi2kSRJExzghx9+aFen2lUlmm0yMjLIzW2LaNjY2Mj7779vhJY+/nFc9dHDDz9MY2MjmzZtoq6ujtGjR7N48WJN9MBZs2ZRUFDQ4Y70oaCoqIgRI0YwaNAgZazIz8/ngw8+OOx1dRPHVT8ZiIp2fXSwnCRj69atOByObnGS3W7nwbG1THFt5yvPYOauch0yJzU1NSntDofDCIKgaXdHnCSjqKhIcxpyMJy0devWdnXG4qRgMEh6enqnnKTuo2i66MvhcJj8/HyFH3fu3Ek4HFZcE/W6RLNXtH5Wfx8IBLDZbB3aS5Z33+n7meLazoqWgfxpdbJGht/vb1dW93M4HCY3N1cZW8vKyvB6vQc195BRWFioyUUWCASwWCwxbWM2mxk8+EAwsZdfftkY604MGGHaTyVYrVZNokKTyaQZsKMl+ysvL+ex8l48Ri9aWlpITIzTJMmLi4tTBmxBELDZbBoZ4XCY8vJyoM2twWKxtKtDXQ6FQu0GuaamJrxeL9A2gKl90+XfxZKp18Pr9eJ0xmku+9rt9pi28fl8ih6A5nt1nR3ZRs5bIsuQkzwaMNAdyMkYo2HFihW8/PLLZGRkaEj+cGL48OEYG28GDhc646RIJBJ1LJdhNps7HXetVqsiw2QyEYlEeGxrGxe0cZLnkDlJnatR5pWucJIMWW+1m6HNZusWJ8m20NepTjR8MJykbldHuujtVV1drblHHRcXp0meq9alI3vF4lu5n9Ucrp57yMli5X4WRRGLpbXTPlEv1sPhMI2NjUpaC/3cQ3bj7G4/y66Gch2x+tlisRAIBDQyDhZ33XUXPp+PyspKNm/ezIgRI5RASQYO4GjZybD6SQY10QiCoFnshMNhhUhk6AdsPZkFg0HN4OD3+zV16DO0tw1ylph1yIOYPHDKdci/0ZcBzY5PNJn6QTAQCGC32zW7nMfCNgYMHE5MmzaNadOmMXv2bDZv3syYMWOOdZMMGIiJYzHuqmUcKU7Sb1Z2hZNsNpuyCNFzknyS0R3bWCwW7Ha7MpnX20ZfR0ecpN+s6agPZPj9/nb2UtcTCoWiLnq70s+x7KXug3A4rLFxOBzutJ+7Yi91Hfp36WBto5bZFdscLDZt2kRGRgbvvvsuNpuNoUOHUlxczGmnnXbIso93dOeO8dGyk7HAMmDAgIETAF999RXvvfeesnM7YsSIY90kAwYMGDBwnGDz5s1s3rxZs6HR3NzMzTffDLTlTlyxYgUDBw7UPOd2u7nzzjtZvnw5+/bt6/AzPaL9prS0lIsvvpgpU6aQlZXFww8/3KXndu7cydy5cxXX3EceeaRbunfnjnE0O6WlpVFcXMwzzzxz0Pec9TAWWCcZBEHQHH/Lx9FyORKJKPkXAE0+BnVZfkb2kZd3viKRCIIgKM/ILgfqnA6iKGpkRisHg0GNe4Hslyy3E9C4hITD4Zgy9XpEIhElxKosUz7uj2Yb2VXlSNjGgIHDgalTp2oSABswcCIgFidFG3c7GtvVMmKNu4IgaGRIktRpHXpOkvmiI06S7+Z0l5NCoZCSC0put5rn1BzVFdvI7Y5lG0Bjm2hQy+yonmj8qreXDDnX0+G0VzQOV7e9O3OPzjhc3SddkXm4bXMwKCkpISkpiby8PKAthH9rayuTJ09m8uTJ1NXVUVVV1W5xBZCcnMyrr77K+eefH/OzrjwHkJiYSDAYpF+/fl1+btmyZVxzzTXMmDGDO+64g40bN8aMmKtHV0+wOrJTr169AHjxxReBtnvOra2th3TP2VhgnWRYuXLliRX+z4ABAwYMnLQwOOn4x/Lly40+OsGxadMmJW8btOVSVLuQv/DCC9x4441HvB19+vRh3bp1SJLErFmzmDp1Kn379u30uauvvpp58+axatUqKisrKS0t7dYCq6snWJ3Z6XDeczaSmxgwYMCAAQMGDBgwcIJi06ZNmgWJeuEgCALLly/nkksuOeLtkE/mTCYTWVlZeDyeLj2Xnp7O3/72N5588klcLpcmMuPhRCw7Qds957fffhur1crmzZsPqS4jTLsBA0cfxh/d8QUjJO6JAaOfjn8YJyEGDBwZHPRY99Zbb9HQ0MDtt98OQE1NDe+8845SBvjd737Hhx9+yPTp05kzZw75+fntPouPj+/0ubKyMt544w0sFguJiYk89dRTXarPbrcrEXRHjBjBnXfeSXV1Nffffz8vv/wyjzzyCOeddx4TJkzg0ksvZdmyZQdrjg6hv+f83HPPKQFQOkDM8c5YYJ1keO+996SJEycC8NFHH/HOO+8oORzC4TA+n4+kpCTl901NTaSmpiplk8nE888/r7xUs2fPprm5WYnk09LSgt1uV2T6/X4Axb9VFEVcLhfPPfecInPmzJmaOt1uN4mJiYqPssfTFkJXrtPr9TJr1ixmzZoFtOWjWrBggea4trm5WZMXSK+H2Wxm3rx5il/tggULKCoqUtrt8/kwm80xbWOz2RR/XICf//znxMfHKzs0Ho8Hh8OhsY3NZlNsEQgE+PLLL41J4fEPo49ODBj9dPyjXR8dDk5avHixciE9Gifpx11RFBW+kCSJ+Ph4Fi1apMiMxkkul0uJ/Ob1ejWR37xeLzNnzuRnP/sZAMXFxTz88MPd5qSHHnqI3r17A7Bw4UJNrsWD4aQrr7xSkwdLz0kejwer1dopJz344IPSrbfeqpR/+tOfkpyc3KEuenuFw2Fuu+02xfXqnXfe4aOPPlJ0CYVCBINBEhMTO5QpSRIFBQVK+cYbb1SiIMq62Gy2mHOP9PR0nnzySUWGvp+bm5tJSkpS5h5yzit57uHxeLj66qu57LLLAFi7di1//etfNRHo9O3Wly0WC48++iiZmZkAPPDAA+zdu1fzLlmtVkUP+f6g2jb//ve/j+hY98knn2CxWLj44ouP6+dOABh5sE4lpKSkkPPFtbD7v/zYMYAvHNn4LAkAysVKdb4LfVmSJLKzs5XBwGq1Yjabld/Il0zlssViUcLgyt/bbDZycnI6rMNkMmlkms3mdnVkJpjIef88qCvGlTKCns4EWiwHBiC57ljljIwMpR1yjhN1HepyNNuYzWaNHvLvZTKL1m69XgYMGDBwKqONk66D3f/h57YepPS30BhJpCLgYq83nn3+rnGSPCG12WxdGnflsiiKWK3WTjlJnQQ4Wtnlcikyampq2slQ19lRWc1Jcq6kjniwK5wk6y7rfLCclJCQQM6au+GHJZA2kDnD3JhsToKiheZwHGUOASHORKPgoCboVGTKciORSFs//69tLpdLU6/FYtGUo/VBJBLR6BZt7hFrLiJJUpfmHnJb1GW1zKSkJEVGampqp+2OVs7MzFRkyGHhO+rnSCTSro4jjenTp58Qz53oMBZYJyP2LIe8c8gsX83fx5TwYW1/3ts/4Fi3qstItApcVL0QhP2QN5GE8m9YNMbKyqZevF4xBEE6egPRocBmihzrJhgwYMDAsceezyDvHJLKv6FZ6E9egpezU6vp62yhKWSlqDWLde4sNrdkHuuWnroofAfyzoF9a9jWkk+qy4HDHCbL7iM/20NuQj3p9gAptiAVPgeVwST2BZLY7Utma+PBR1ozYOBkheEieJLhyiuvlG7pU8hEZzH/qevDS0UpzBtdgi9s4YGtg/AGIprjbp/Pp3FzCIfDjBw5Utnh2bp1K5IkaRL2ms1m5UhdEAQikYiyuyiKIpFIhNGjRysy169fr6nD7/crJ0qyTIvForg1PDJ8K/ViCmnJCUx0FvNF8wD+ssHFn0btIyMuxB+3DKe6RdDI1OsRiUTo378/CQltp3fbt29XEgACSlh4+aRODteqtk04HGbUqFFKecOGDZos8LL7Qke2+X3/ncx6db/h1nT8w+ijEwNGPx3/aNdHak76b31fHt6QdSCRayRMnsPNOTk+pmTVk+sM8N+KVP5dm0e5r208D4fDjBgxQtnhPxacFAwGSUtLU6Khud1udu/erdQB7TmoM07asWOHkuAYjg4nCYLAmjVr2vXRpZdeKt07ooyJzmJW+4dxz4r4DucJdnOELEszg1MF+rn8DE3yMCSphYawizKxF7uEHnxRYmZvdYtSbzgcRhCEmHMPQRA0fbR582bNyY5eF729RFFEkiRNstiD6efMzEzFjbOxsZGSkpJu9/PAgQMVXYuLiwmFQpo6gJj93EHkTWOsO/5g3ME6lTBlyhRJnZUcwOW0c8/AIlxWgbvXDyAu4YBPssfj0fj+6sutra3ExcUpA3Zra2u7jO2RyIFFmyRJeL1ejYyWlhaNH7TX6yU+Pl4Z5FpbW7Hb7dhsNkYlN/KH/kX8+ruxmO1tMuXcHgnxTn7bdzenpzRyy7eDMDlTO6yjtbUVp9OpqUOfsR1QBs5IJILf79fkPOiubXw+n5JJvpezladHbiBlQcgYKI9/GH10YsDop+Mf7fooGid1NO72dPiYklLKj/Pq2eVN5P8q+7C6wobL5VIWEbHGXegaJ+nH8licBG0Tc7PZrNQhc5J6Yq2XGY2THA6HsmA4XJzUmW2sVqtmURJt8n7uuedKahe1zrhPb6+Az8vQ1BCj072MTm7ktKQmyn3xbHRn8F1jBsXN8QSDIWVxeTjsFQwGkSRJs5D2+XyHbK9Y71JX2q23jc/nw2azxXyXgsGgxjYdhM03xrrjD8YdrFMJ6kug4XAYi8WCNc7JM+VnMLffBm4fto/Xag6EqJQHMXU5Li5OGYBCoZDmEmggENDUIUkSFotFM8j5/f52MtVleRdJHjjlOuLi4rguv4SXS/Ix2RzKM/JAGudw8mb1CFz2QuaN2sufy89Gfr+9Xq+mjmAwiN1uVwbOYDAY1TbqsiAIMdvdHdv8pm8x71Xm8dsu95wBAwYMnHzozrjbgIO/75H42D2KqemV/GHgdn6SbeeNmlFUBdsmtUebk+Syug795D6azI44SX2SoZYp38XpDif5fD7NiYzeNsFgUBNQoaMNdfXkPlo9+nIgEGhnr5Kgi/2NPfi0EfxeN6PSvEzIbOG+IUVEJPjv/ky+9fanNhR/2OxlMpk09goGg4dsL3UQL/27dLC2UbdbEARNn8iJjtUyDJwcMG7hnyIQMfOXPSMZn97E1LSKY92cqMhztJBl9/NVbSw/fBN/3zecVLvAz3KjZ+0+1kiyhjgjuZZPqnse66YYMGDAwAkHQbKwvD6P3xVN4fvGZB4f8i235m0lJ671WDfNQBcQlsxscafxeuVQbiqcxl92jSDDHuLpoV/z58HfcEXObvok+DAOZQyczDBOsE4y+P1+wuEw0LYbYzKZlHI4HObuDQNYNL6IBq/AmoYMwuGwJhFcOBzG6/Uq5WAwiCiKit+wvNsSiUSUsiRJiKIIoOQP0MtUlwVBwOv1KrtIwWCQcDjMtLwy/l2VhS8QwmKJaNot/1/GvRv68/I5O6jzinxU1YNIJKKpQ26XvIsUDAaJRCIxbdNZu7tqmwm5NXxTn05tixC7swwYMGDgJEdnnNTZuPtmdRaf1/dgZq9K/jL4a9alJ/FxVS4/eNKRMB0RTgoEAooboNxuNQ9F4yS9zKPBSXK7Za8KWabMSXJZbZto0CeDjcZ9el08Ho9GF7m9sv3MZrOiy8awjbWVeTy3ewBj05qYkN7AX89oIMwOvmtIZ0tzMuut9m7ZS9ZF1i0SiXTJXh6PRzP3iGYvdR3qd+lI2Eb+Tu7D4w3vvvsujz76KJIkEQgEGDNmDEuWLMFkMikul2o8+OCDDB8+nJ///OdHpX2/+c1vGDt2LL///e+PSn3dgbHAOsmgvuAaiUSUELXQFj50rzeeB4pG8fDwreRXBvhXVV9+OuvAH0JBQYEmFLkcglSWIX8nl0VRpEePHpx33nlKnQUFBcr3sgx1WW6nPMjFx8czeeLZXGp7hg8z/shIawnbtm3TPBMOhzXlOp+duYWn8+iIzeQlBHh930Au/+mVyvdLlixR2gsHQqx3ZBuz2UxSUhI/+clPFBmvvPJKOz06s82ZZ57JVZn/4tvkXzEp6cSIdmjAgAEDRwqdjbuyy5SMlJQUJQcitHGSV3Ty+r6B/F9VPuelljJ7cBnJ9t18VZfNmuoEfnAnY1JxUm5uLueff75SfvXVV6NykL6s5qSJEyeSl5cHtAVLKC4ujslJepl6PZYsWaIJziGH61bbJhKJaL5PTEzkiiuuUGRE4ySr1arhJPUcwGKxMHbsWEaMGAHAnj17iAZRFNslVI3F4SkpKVx00UXK5Pqjjz7C7XZr6tXLCIfDYLGzwZ3NBnc2i0pN3PTjCfTOKuTM0C7u9vyAJ2KnqCWZPd5EtjeaqRJSaIrYAVNUe/Xp04cpU6YAbe5///jHP2K2Wy7L/ZyQkMDkyZPp0aMHAN988w27d+/WzG/076deL30/v/nmm5o6os0T9DLS0tKU3FvHE/bv38+tt97K999/T+/evZEkiS1btsR85uGHHz5KrTv+YSywTjKoEy5GIhEsFotSlnfdyiMp3Ls9idl9t3JJ7lp6DpwEOz6Emi1kDs/m5f1jlAFbEARNEmDZR1l96XPYsGHccMMNQNvuzdtvv90uWpC6HAgENJdXw+Ews8b3xLlvIFfe9CcaFi2itLRU4+8OtJPZaErn3h2TuDnvB14ds4bM/HFt4YBrNtN7eG+e2TNUGcRkX+tYtunRo4eiB8Abb7wRVY9Ytrlo/BDS9wWZfuufifviy273nwEDBgycTOhs3NVHl7NarZpxeMmSJZpx94P9ffi0aTADkwOck7qfa/tXMihpJxUBFxUBF2VeO5l5Li61vgXlXyMNms6G9AAhRxKNQhxg6pSTBEHgkksuYcKECUq79+7dqzzTESepy6IoavRYtmyZcl8M2nOSKIrExcV1i5Pku2XyZF7PSaFQiClTpiiLtM8//zxqH6mTCkfTRV8GuOqqq5RcT5s2bVJsKLddneBYPglSy7Db7fz01gOT8cmTJjIyx8oQVyN9XR7GpTaR7yrBYRGpCTqp9VtpEhy0SAm0hO14A2EGD8/l4v/1c7DPBezJ8mGPtxIQLTQJcfh95nb2Uge/EkWRGTNmKNEL3W43FRUV7d7Hzmyh7qMPPvgAQPMuqe91RbNNnz59NDKOF1RXV2Oz2UhPTwfaFovqSI/QZsO77rqL6upqXnvtNW666SblRGnevHkUFxfj9XopKytjyJAhvPrqqyQnJ8f8LhQKcd9997Fy5UpCoRAjR47k+eefx+VyUVlZydVXX019fT35+fntTpKPJxgLrFMUtaF4Hth5FiOTW3hUaIXqTZA3kRniahqlPXxc24+wdPSu6KXWfg2DZ3T7uZawncf3nkFfRzN/O98C1d9D3kR+JK7GHTLzXs1gAuLRe81zW9bDoOlgNk6vDBgwYOBIocyfRJk/iebmbJIcZoakR+jl8JJlcZNFHZRvbMvrtPNj7hqaQLZzO3FmkYpAAt/XxbNTCFPoScd/FPnBQMeQMFEeSKQ80BbMxO12Ex8fT6pDItPuJ05oJDteJDtBJMPmJ9McpFekROlne9lnXNcvCafNjNMSJsUWxHlamGYhjgbBQWXAxY4kM3UE2RdIoiYU30mLDIwaNYpx48aRl5fH1KlTmThxIr/+9a+VBVcgEOA3v/kNffv2VdwG9fj666/ZvHkz2dnZXHfddcyfP5+//OUvMb97/PHHSU5OZt26dQDMmTOHhQsXsmDBAm677TYmT57MQw89xN69exk1ahQXXXTR0TNKN2CMLCcZ1H7j4XAYURQ1GcPlnAsytjQlUtTjGnL67SOt5F2WV2cw0lXHWcnV/L/to2lU+Q7LMtR1CIJAQ0MDRUVFSllfR7Sy/Lu2dgokVn3JngFXECgqora2FkEQNLtyehmiKGrKO0PxFGVfRU6/PaSVvMvndbmk23w8OeRrHtx2Oo2RtqN+9amZ3jZer1fRI1q75TrlQSQcxTapdasp7/s7PEVFlJeXd7XbDBgwYOCkRHc5SRRFzTgsPx9r3PUETRQ2JVBIAoFAMqfFn0a/cQNIK3mXxvyfc+3zZSQlJZFoFejj9DLAvp/Lc3ZzV/4mNjSn84kphR8CcUQiVqWOvXv3KuG3ZU5Sn0qo9ZLbrS5LkqTRIxgMIgiCEslP5kG1THXep65wkiwjlm327dunyOiIk/R3szrjcJPJxI4dO2hoaADaQpXrOVt9f6ojDlfrprefrFujZKXR78TrTdZE3/P7/YxPGc+ckW39XN3rJ/zusxrNnSBfSyP5mU7S7QF6O1vJsTUyNrmU/AQvdrNIsScZy3d/ocT9I/ypI6ivr283T+iKLdR6yN+pZZhMpg5tEw6HcbvdGhnDhw+P2k9HG2azmaVLl1JYWMjKlStZunQpTzzxBD/88AMAF110EVdeeSV33313hzKmT59OdnY2ANdffz2zZ8/u9LuPPvqIlpYW3nvvPaDtb0fO/7ZixQqeffZZAPr166dcTzkeYSywTjLoB3D9gCYIgpJvA9oGqQOXAyfR2tpKvNPBdf1KeWL4Wm5aMxhPUHuRVB3qVRAEvvvuO7Zu3dphHfLlSBnypVKZFNJMzQS9jfz2gecAE4FAAEmSlHpk0pAHKFlGZ3rY7XZ+mlfDEyPWcct3g6kKuDTP622zd+9ezUXJcDisqUMURQKBgMZFUJYFYJVCZAR289PH3yUQ+QBBELj++uvbd5IBAwYMnCI4NE46EPyho3FX5iT1ImPdunXMLIwHJiFJ1cpYHgDqvE6+9ufyTqWTRKvAtKw6ft2vghxnCe9X9OTjqhyavREWL16sCQWv5j1ZD3XuqNicdCC3ljq4QTSZatuUlJR0i5Nk2Qc2L8O88847LF26VLHddddd166PWlpaNHewZLky9Bzu9/t54IEHFP3l/FGyPurgT3JZby+9ffTvgRx2XW0vfbCJVatWsX69E5iEKDYQCoU0MoIRE2VuE2U4+R4nfn+Ckpg53R5kcHwDp3u+ZNTuD8lz+rm0JZH07BQ2ujPZH3BGnXvobROtn9Wh4OV+jmWb7du3a2SsWLFC30XHFCNGjGDEiBH87ne/Y9iwYXz11VcATJs2jf/85z/ccsst7UL9R4P67zTWd5IksXjxYs4999zDpsOxgLHAOsngdDoV316v19vO3x3QJMUTBEGz4xMMBnElJvFu/Sgstp08O343fyg8C5PtgJ+43W5XEiz6/X5EUVT+uERRJBwOt6tDXY5EIrhcLmWwHZ9QzdaWdFyuREWG+i5ZMBgkFAppkvvpZYZCIY0ekUiEhIQEvvSkYqpK4Llx27l18zgEW1JM2+htEU0P9QDhcDgUYupvamRvayJWZwqu/9nGgAEDBk5lHA5OijXudoWT9HyhLn/lTeeDfdmcniPxk9wy/tF3Mrk2QgAAIABJREFUA/9X3oOlNf0x2eIVGXpOslqt3eak+Ph45Q6WJEmaO1itra2YzeZucVI4HCYxMVGzAFDbRpIkbDabxjbRkJGRoSnHspdsDzWHy30gny55PJ5294zkQFJqmWrdAoGA5ntJkjq1l8lkUnSTT5titVttLwFY0xzH9wEH9jo7iZYQg2xlTMhs4beDtuIJ21henc3ymixarR3L1Osh16FeTHbFNvpofMcDKisrKS8vV+4iVlRUUFdXR35+PgAPPfQQixYt4qKLLmLZsmUau8hYtmwZdXV1ZGZm8tprrzFt2rROv7v88st56qmnmDBhAk6nE4/HQ0VFBUOHDuXcc8+loKCA+++/n5KSEr744gsloM3xBmOBZaBDvLN/IDnWJm7J38ELFaPoJGn1QWN0SjNb3elHRDbAFw29yTI3MGdwMY/uHY94pPRIdbPFnXJEZBswYMCAgSOHPb5kni49nWy7j19mb+WV09fwVtUQVjX2ONZNM3AU4InY+bIxi9VNvYh3OhjiamJSchkvnrGeMn8yKxt7sq45i4Zj3dCjiHA4zEMPPURZWRlOpxNRFHnkkUc4/fTTld/MmTMHp9PJ+eefz3/+8592Ms477zyuu+469u7dy+DBg3nyySc7/W7u3LnMmzePM888E7PZjMlk4qGHHmLo0KE888wzXH311bz77rsMHjyYCy644Mgb4iBhLLAMxICJv2wfyOKxW5mZs4f3qgccgTokRqe6eafqSMg+gL/v6cNTY4q5Ka+Q58tHHJE6Tk918/a+fkdEtgEDBgwYOPKoCcUzr2gYYzN9XNt3L7/suZN/lPbgi/pex7ppBo4SJExs86bxfZ2T53YNYEoPL5PSqri21zbK8+1s8vZkvTuLEl9y58JOYPTp04fPPvss6ndq99bbbruN2267DYDXXntN87vs7GzefPPNqDI6+s5ms7FgwQIWLFjQ7ruePXvyxRdfdFWFYwpjgXWSwev14vP5gAO+6XJZDgOr97WWL6pC245FY2Ojpnzb2oE8P74YQh6er8klISFBkRGJRGhoaFB8kiVJIhwOt5OpLsttsFgs5Ni9WEwS22rDmM0NisxAIKBpt/4CrN1u1+ghSZKmDkEQNJd/BUHgrnX9eO6s7dycu46FP/TBkpCsyDCbzQSDwZjt1tvGZrMp7XCYwwxKamXtfgvC//a41P7iBgwYMHAq4khwUjAY1NxxOZycJD/zTYWFb6sGMyLFw6/6VnB9vxK+rk3jv1UZfO9xEYpwyJwUDAY1tklMTOw2JzU1NSllq9WqaYfNZsPr9SqugR1xUl1dncbNUA5eJcPpdGp0i0QiNDU1ae5+BYNBWltble/1/ax2XZR/o65DX9Yn4JXd/mUZgiDQ1NSk6NaVfpbbIOsaiURwu92ad0ndJ/Lc45M9dj7Z0xeLKY8zMvyc29vHXf22kGbzU9gUzw/NSWxtSmS3J4Fg0PT/2Tvz+CiqbI//qtfshCTshMUFIShEZFQwgCij+ERRBneUD4wCBsdlxAeK4wY6uD0dkBlABMcNFURUUBBcUBBQwiIgCEISICwJWbo76aW6uur90dxLVfWedKATzvfz4aO3u+rce8/t3FO37rnn8MAWrJ163WRkZPB+CIKA6upqTXASonkgqFehRNNnyJAhSjh/944dO+LNN9/k1xcUFKBly5a8XFlZiaysLD452O12JCUlISdFweRztsCseGDr/QAuv/0JwJqOVatW4aWXXuJ+0LIso6amBllZWRqZLKwnY+HChX6/759ewQ+fzsf07Z1gtVp5nZHOYFmtVh5hBgAGDBiAzMxT7nk2mw2pqak8D5bNZoPFYkFmqhkPddmOzkk12JX9F1z3t5lAckuUlZXhzjvv1PgQ69ut142iKJgxY4Y/ieOuxTjwyVTctzZX4+++Zs2aYP6I9EeXWNAYNQ1onBKfgDGKZJPat2+Pt956i1+vn8tD2ST2gFpTU4NHHnlEk+vpn//8Z/1tEoDx48ejuLhYY5Nap8i4tkMVBrQ8gtxkB3baMrDX1QqH3Gk47EqD05CBhR98AhgtQfvBwo6zM0XMJqnPFN1www145JFHAPiTvN5+++1hbVJVVRUyMzP5AkFRFPzzn//ERRddBACYMWMGVq9eHdEm3XDDDZq/o2D6+eKLL/j/X3fddTyBLtNPpHNG3bp1w6xZs7gM/bPHiRMnNGfB9PpyOByYMmUKD8m9dOlS/Pvf/9b8lhwOR8DzjLofiqLgww8/5Oed7rnnHhw/fpz/lvRjoj/PB/gXmx9//LG/4DyBKXcNRN82InqkVaNzsh1eWcAhdzoOudNx3JOCI3YZdjkVDiEdtZIZVXYXbr71Dtw7rhAQBOzZswcTJkzQPN988cUXNNc1DcKeN6EdLCIq7JIVU/dejr7WfZjY/nNgxosAFAwyZ2FH29b40X4OZNQjb9bupdji6grAF+8mB8Ujm/DSgUvQ01KKCRmbgZdbAYoPbZOycUtuC3xnvwCiUo8cVnuW4ndDTwD2uLeZIAiCOLNUe6347Pg5+Oz4OTBLtchLrUB+jhtXZpWhY1IdMs0e4PkUQPHbsq8GGVDmyUCZOxWH3WnYYjDjgNcKBeYz3BMibqTkYP2JbOyS2EJagdFZjrxWQJdUJ1pZXOiU7UBOUjlykkSkGr0wCz4kH9sIPOePGtjNYMbi/gK8igke2Ygqb9KZ6w8RV2iBRcSAgDXHW6P3eY/ipl9HArn9YD24HkNay7i5wxH8c/8lOOpOjiyGYS8DTuzBHs9NAA43WquDsakqG21Th+Nh+ySgUwEMh35C70xgRO5avHTgEuyPxbdacgP7vsJeQyGATY3WZoIgCOLMU+szY92JHGz36LwqPv4YmG4BcvshuXQd5v+Rhw5JdeiU7MC95xzBuem7sbcuEz9UtcdXdWkQYQlTS2NAmyCNi4BK0Ypt9nTsqAu9u3fnnXdi3LFCILcfhEM/4f7NlyIrIxnJBgktzR5ccia7QMQNchFsZlx++eUKc6WQZVmT0E5RFO7zzvB4PJpwopIkcbc6VjYajRo/aIPBgP+9sBTDOxzDp4fb4KUdubit6wmMPqcMj2y+AHtqkjQyfD6fpg4W8vb2zmU4J82JZ7Z21iTiYzk81CFg1f1gn6n9uYP1Q99udR3MF33yRQcxvMMxLDvcBi/u6IQh7WvwWM9iPL39PGwsTw+rG5Yw8+p21bip41EUbrwAADR1bNq0ibb6Ex8ao6YBjVPiEzBGDbVJevsRyiYxVzKfz8evYXX4fL6obBKTyXJv1ccmPXLBHxje4RiWHmyN/9tzKuiRJElItyq4NMeBa9udwJ+ybVhf0QIfl7bHb7Y0bpPU4efVSW+DtTtYP4xGI/+MnRFj/bjvvIMY+25ZwBhddtllij7PZCR7y6K7seuj0VdDx9loNPJxZGHZ9b+lSPpp6Dj7fL6I/YikG/UzFHv2UMvYsGEDzXVNg7AugrTAamZE8nevra0N8G8Pd84omL97qJwj/TOPYnynnZj4cx5qkzqErKO6uhoZGemY22sd3ijthY1HTLBarTGdwdLLDOa/HewMVjS6yUurwuPnbsbkLefjiLFrRN280HMrvqvsgM8OpAXohs5gNQlojJoGNE6JT8xnsBrTJgHRncHy26QMzZmixrBJ6jNFct0JDOtYiREdD6PSm4QF+zthmz0nJt3oz2DpdWOz2XgerBtaH8B1OSXIfbEu5jNY+nJNTY0m11M0Z7D0ea5i1VewM2v6PFiRzmBFo69IZ7BOh27oDFaTIewCqx6HZggiOD/VtMP7Zedjeu/fYTWEP1OVl+aPfPRbbcuw150JfqvNwuvF+ZjWex9amDxhr21tdeH8lBr8VN3uNLWOIAiCaOo4JDM+OdIJ43YMxhfHu+Lv3X7Hc3nb0d5aG/e6Bmcdxs1tDmDyzvy4yyYIIji0wCLiysqKXOxzpOLhLttgCPPC5fYO+7G8vAsaK3lxQymyt8ZXZa3w+LlFsAihF4u3dyjG6spceOsTGIMgCII4q5FhwLrq9hjzy2XYacvEy93X4+9dt6JLsqPBsg1QMLbLftzdYQ+e2XcZyj0xnJEmCKJBUJCLZobL5eJ+116vV7O1bTAY4PV6YbPZ+GeSJGnK7Hu93zPDarWitraW52yQJIn/A/x+0NO25WLW5ftxf4df8NLu8/kWP6Nvtg1tLLVYvL8FJMUGj8cDr9fL85aIoshdMFgb1D7PrJ5w/XC73Zq2i6Ko0YXZbIbdbtfUodfNv4+3w/TUUvxvl414ekd3jR4AoHNKHfpnHcOoDX3hkGw8z4laNwRBEGczkWySfu5uDJskiqJGpt4mCYIAu93OXceY/YnFJgGI2SYx9zYAUIwWLNybg2WHWmF4h6OY1v1n/NE+GavL2+HH8my4ZWOATPVZH9YP5oaZbRHxUu/dEACM3dQbNq8MSXIGtBnwu7mpz6ipz1sxuep6PR4PFEUJ0JfH4/f48Hq9GhlGozFgDCI9i7CzSgyz2Yy6ujrNb4mdUwPAc2VGM85MZ263G16vl/ddFEX+j7WJufIx9M8e+n7odeP1ejXjbLFYgj570HGd5gctsJoZFouFT/wulwsFBQUYNWoUAODYsWOYMmWK5o9d/8evN4CCIODBBx/EeeedBwB48803sWnTJu5P7Ha7YTKZuAxFUWCXJDy7ry8mn78Ds/+0E/85eBEefOE1AICp9jBSPx6Kmft7wJKcBgtOJZtkk6GiKDCZTLwfoiji/PPPx2OPPcbbdc8992jarTdWPp8PKSkp3JgZDAbcdddduPzyywEAK1euxJIlS3g/fD4fnE5ngC5eL8lHYZfdmHfpr5hd0hOjn3oRFqsVBk81zO9djf+WngufpQVSLKcO0LJ2M2NDEARxtqK3Sf3798c999wDwJ/g9rHHHotok1JSUvhDsd4mzZ8/H5s2bdLMu3qbJEmSRqbRaMRrr73Gy+PHj4fRaNQEKFIn7GWBDpi98Hq9OOecczB58mQuo742qV+/fgCAVatWYfHixZAtSfi0IgOfHe+KvullGJZbiUcu2I8d9pbYcCwF+7wdcMiVCkkxwGAwYMaMGbxdkydPRornKG7LLcGgnKP45GBbvHvwHJityUgxh7ZJaWlpmsWM1WrFq6++ysujR4/W9IXpM5S+nE4nBg8ejFtuuQUAcODAAUybNi3sOOv1ZTQaMWnSJOTm5gIAZs6ciR07dmh+S4Ig8L6zpMBqGWazWTPO9957L6xWK9RBV9TPHnobLooievbsiQcffJDLiDTOet1IkoQxY8agT58+APz5u7766iteB0tKrJZBNA9ogdXMMBqNfLLweDxo2bIlN0RWq1XzPeA3VvqyyWTSJNPt2LEjl9GiRQuNDEmS+KQE+Ccog8EA2ZiMGQf+hGtzDuKZbr8ga80tQE0x4LHhV3cmihztYDYbeZvVMg0Gg6YsyzLS0tJ4G9g14frBog2xN1Nerxdt27blMnJycmAymfg9LMqPXqbBZMWcw71xRcujeOScHWj93UgYnOWAqwoHlEx8VdEZFktwGbSDRRDE2Y7eJmVlZfF5ODU1NSqbpI78Fswm6eddtQxmk/Qy1fbEZDJpou8x+6G2SepyfW2Suq+iKGpsUlFREcxms6ofAr4rb42tYjdkmDzonX4C3TPKcGv2drS2ulAhJqPCk4Qevz4B4+ENgOsE3r/QCNFnwJcVXXD/zsE4WOmG2WyKaJP0u3FWqzVs35h+1PrS2/Ds7GwuQxRFjf6C6UdfBoDc3FwugwWOUOtPfY8kSUHbqe4Hazdb/AQbZ/3zTUZGRlhdRNKNoiho3749l5GVlaWpgy3e9X0nmj60wCIaDQUCVp7ojNWVnbBs3BRg4UCgUwF6lq4/002LEQHrq9tjfVVbLBn3OKzv+PvRucn1gyAIgmhq2CUrfqzugGWVScjOzoZJkNHWWodssws9et4B477lQKcCmEvX46ZfroLZwhZM7jPaboI4m6Ew7c2M/v37K2p/4tatW+PCCy8E4A9runHjRs3bKpfLpfExdrlcsFqt/A2PoijIy8vjYUh37NiBiooK7grA/KCZTFmW4fF4NDIVRcGAAQNwg3EVLjNuxdKDrfH63vM0/tvq/BYsNwWrg/lBX3bZZVzm6tWrA9qtLrvdbpjNZv4WSZIknHvuudzd4MCBAygpKeF1+Hw+iKIYVqaiKOjXrx9utn6Dy4xbsexwW7y6uyuvQ99ur9dL+SyaBjRGTQMap8QnYIwi2aQNGzZwNy8g+FxusVgaxSYxvvvuO42L4OmwScz1ndmk4uJiFBcXN9gmvfJbl5DtDmWTBgwYoKjPcsmyjIEDB/LymjVrNGOkHxOWF0u9U9m+fXv06NEDgD90eVFRUcRnD33fevXqhRYtWgAAtm7diurqat4XdoYpnL704/ztt99qdrAijbPX60V6ejr69u3LZUQzzmrdSJKECy64AO3a+SMN7927F2VlZZpdMkmSNPr94YcfaK5rGlAerLOJgQMHKmxyYIct1eeM3G635oyVw+HQ5PJwOBxIS0vj7hh1dXWwWq18AnI6nTAajRofZZ/PxycYRVFQW1sbIFNdrq2t1fgoO51OjWuEy+WCwWDQ+Cjr/ZyDtVtdrqurQ1JSEjdmdXV1MJvNCKUbWZbhcrnirhuaKJsENEZNAxqnxCdgjMLZpGjm3draWqSmpvJ51+l0wmKxkE2qp26C2aQrr7xSUQe5iNSX+ujL4/FEtK/h9OV0OmEymcLqy+l0Ii0tLWp9xfp8c7p0Q/kzmwxhF1jkItjMUCfJYxGL1IkL9VFxnE5n0DKbgLxeL6xWq2ZSU9cB+Cc2VpZlGW63O2wdbrdbM3GyOtiE4/V6A5I6Aggrs66uTlMWRRFJSUma6ECRdOP1euOuG4IgiLOZMzHvJqpNUgdU0NskdlYsFt24XC4kJSVpItapdSOKoqbdoVAvEILVoy97PJ4AfamT6UqSFJBMV1GUuOtLEASNvvQ7WPXRV7jf0unSDdE8oDxYBEEQBEEQBEEQcYJ2sJoZ7C0O4H9byHKAsO9YrgiG+nt1WZ1zRB15SJZl7uvMZKplKIoSsQ6Wu8Ln82nqUIdOVfeDXRtNu/V1yLIcVObp0g1BEMTZTLh51+fzJaxN8nq9Gpukr6M+Nom1TV1WyzQYDDHphrU7lG5YLqlINkktM9q+BLPh6rar5dZXX+r8UPo62DMDK7Mw7ZHq0OuL5dEK1Y/6tFsURb6DVR/dEM0DOoNFEKcf+qNLLMjfvWlA45T4hD2TQBBEvaG5LvEIO9+RiyBBEARBEARBEEScoAUWQRAEQRAEQRBEnKAFFkEQBEEQBEEQRJygBRZBEARBEARBEEScoAUWQRAEQRAEQRBEnKAFFkEQBEEQBEEQRJygBRZBEARBEARBEEScoAUWQRAEQRAEQRBEnKAFFkEQBEEQBEEQRJygBRZBEARBEARBEEScoAUWQRAEQRAEQRBEnKAFFkEQBEEQBEEQRJygBRZBEARBEARBEEScoAUWQRAEQRAEQRBEnKAFFkEQBEEQBEEQRJygBRZBEARBEARBEEScoAUWQRAEQRAEQRBEnKAFFkEQBEEQBEEQRJygBRZBEARBEARBEEScoAUWQRAEQRAEQRBEnKAFFkEQBEEQBEEQRJygBRZBEARBEARBEEScoAUWQRAEQRAEQRBEnKAFFkEQBEEQBEEQRJygBRZBEARBEARBEEScoAUWQRAEQRBNHkEQRpzpNhCB0LgQZyO0wCIIgiAIokkgCEKyIAgvCYKwRRCEHYIg7BMEYYIgCFYATzVAbrYgCF8KgvC7IAi/CoKwVBCEVnFserTtGCYIwlZBELadbEeTWJw01riclL1MEITtJ/XyoyAI+XFqdixteEUQhGJBEBRBEC5UfZ4Qvxsi8aAFFhEzoSbSM92uaBEE4Wn9JEkQBEE0CWYCsAK4VFGUiwBcAmA1gD8BWNwAuQqAlxRFuUBRlF4A9gOY0dDGxoIgCAKAdwHcrShKPoBRAP4rCEJTeFZrrHEBgNGKovRWFOViAK8AWNBAefVhGYCBAEp1n5/x3w2RmJjOdAOIJslMAE74J1JJEIQMAE3ijY0gCH0AXA7g4JluC0EQBBEz1wO4V1EUCQAURbEDsAuCMBLAe/UVqihKFYDvVR9tBHA/KwiC8CqAFAAdAOQD2AngRtaOOCIDaHHy/zMBHFUURY5zHY1Bo4zLSVk2VbEF/DoCcPrGRVGUdSfr038e9ndDnL3QAouoD0En0voKO10T5ElXhdkA7gTwXTxlEwRBEKeFzwEsEQRhNYCVAN4/aYPciqLodxcgCMISAOeFkNVPURRXkHsM8D8kf676+GIAJwDcAsALYDeAPAC/hmtsLPUriqIIgnArgM8EQagDkA6/vW0KNOq4CIIwH8A1AAQAQ1VfNfq4REuI302TYenSpRgxokl4pDYJBEVRznQbiCaGIAhzANwD//a/eiJVXxP15CUIwrfwT5B349QEeYuiKHGdIAVBeBHAQUVRZguCUAJgmKIoO8PV0UjQH11iIQT5jMYo8aBxSnyCjVH8KxGEHvA/ZN8Dv1vahfHc5REEYTb8L/xGMLmCIFQByFcU5eDJ8gEAAxVFORzHek3w29SnFUVZLwjCFQAWAchTFKU2XvU0Fo09LifruBvAHYqi/M/JcqOPi67+EoR4dgj2u4kjcZnrXC4Xnn76aaxZswZerxdutxuPPvooxowZg8suuwzbtm2rt+xJkybhk08+QUlJCXbs2IELLzx1CsPtduORRx7BmjVrkJSUhH79+mHevHkhZVVWVuLuu+/G/v37YbVacd5552Hu3Llo1crvLLV3716MHj0alZWVyM7OxjvvvIPzzz+/3m2vJ2HnO1pgEfUinhNpqAkSgAPAawD+rChKbgPb2w/A8wCuPvmWsAS0wCL80IN704DGKfE5LQssXpnfDv0GIENRFEeIa2J9EfcKgF4AblAUxXPys64AvlMUpcvJciaA3xVFaSMIQguEsVMxvmzsC+AdRVHyVJ/tBnCPoii/hJCRcDTGuOjudQHoCCADp2FcdPeVIMizQ7DfTZyJy1x33333ISUlBa+++ipMJhPsdjsqKipw9OhRrF27FlOnTq237HXr1qFz584YMGAAli9frllgPfjggzAajfi///s/CIKA48ePo02bNiFlVVVV4ddff8WVV14JAHjsscdQVVWFt956CwBw1VVXYezYsRg1ahTee+89LFiwAN9++229215Pws535CJI1AtFUXYD2C0Iwkr4J9JU+BdEAKKfvE4aLrtqcZUJIFX19mmsIAhrggmJcYIcBKA7gOKTPtQdAawSBGGMoihfR+wwQRAEcUYRBOF/AKxVFKVOEAQjgLsAfB/qIR4AFEUZGYP85+EPznC97iH5YgCbVeVLAGw5Kd+GMHYqlvoBHAbQURCECxRF+f3kQqUt/IETEpbGHBdBENIAtFQU5dDJ8g0Aqk7+G4TTMy6R2hjqd5NwrFixAvPnz4fJ5H/8z8jIQEZGBpYsWYJRo0Y1SHZBQUHQz2tra/HOO+/g8OHD/AxbuMUVAGRlZfHFFQBcfvnl+M9//gMAKC8vx5YtW7B69WoAwB133IEHHngAFRUVfIcrEaAFFhET0U6kMUxeIQ1XJGKZIBVFmQFVZJ8zvINFEARBxM4NAGae3MGQAfwEIC4PyoIg9ATwBIC9AH46+SBYrCjKzfDbqSLV5VHbqVhQFOWYIAj3w3+WiXmEjDkZSCGRabRxgf/l7WJBEFIB+OBfWN1w0hPltIwLAAiCMBPACPgXvGsEQahUFKVnhN9NwnHjjTdi5MiR+POf/4yhQ4firrvuQkZGBpKSktC5c+eA60eOHIk//vgjqKwNGzYgOTk5Yp379+9HdnY2nn32WXz33XdIS0vD9OnTQy7I9MiyjP/85z+48cYbAQCHDh1Chw4dYDQaAQBGoxHt27fHoUOHaIFFNGniPZGetgmSIAiCaLooitJo0dkURdmFEC4/iqL8Q1d+qRHb8T6A9xtLfmPQyONyHP7Iv8G+O53j8iCAB4N8HvJ3k4jMmTMHDz30EFauXIl58+Zh1qxZ2LlzJx566KGg1y9ZsqTBdUqShAMHDuDiiy/Gyy+/jE2bNuGGG27AH3/8gYyMjIj3/+1vf0NaWhoeeOCBBrfldEJnsIiE5uSh0eEAlgN4UVGU4jPcpHhwxv/oFi9ejBdeeAGKosDtdqNPnz744IMPIAgCHA4H0tLSopZVUlKCr7/+GuPGjWvEFjcqdLanaUDjlPg0mQfNeNJM7VSTp5mNS9znut27dyMvLw92ux3p6elBr6nPDlaXLl00Z7BOnDiBdu3aQRRF7iKYl5eHd955B3379g3bxkmTJuHXX3/FF198AavVCsDvItitWzdUVlbCaDTC5/MhOzsb+/btO907WHQGi2i6KIoyEcDEM92O5sTRo0dRWFiILVu2IDc3F4qiYPv27fWWV1JSgnnz5jXlBRZBEES9ITuVmNC4aPnyyy8xaNAgpKamwufz4f3338eVV14ZcnEFxGcHKycnB4MHD8bq1atxzTXXYO/evSgvL8d55/mP0N9zzz24+eabcfPNWq/KqVOnoqioCCtWrOCLKwBo3bo18vPzsWjRIowaNQqLFi3CxRdfnFDugQDQFLKDEwQRR44dOwaz2Yzs7GwA/sSJ+fn5/PuZM2fiT3/6E8455xx88skn/POVK1fi4osvRq9evXD11Vfzt1oTJ07Eb7/9hvz8fIwcGegtKssyCgsL0b17d/Tu3RtXXHFFI/eweTNlyhSUlJTAZrNh7NixyM09FSCrtLQUzzzzzJlrHNGoTJo0CV27doUgCNi5k46PEgQRPV988QV69+6Niy66CH369EFlZWVcFlCMBx98EB07dsThw4cxZMgQ9OzZk383Z84cvPDCC7joootw++23491330VmZiYAoKioCB07dtTVBuiDAAAgAElEQVTI2rVrF1544QUcOXIE/fv3R35+vmYBNmfOHMyaNQvdunXDrFmzMGfOHP7dvffei88/96ciO3LkiOb5Zs6cOXjqqafi1udwkItgM+PWW29VWrZsCcC/jVpeXs5/xJIkwWaz8QdrwB8KMysri5c9Hg+6dOnCDw/u2bMHJpMJSUlJAAC73Z/uivnNut1uuFwusDplWYbT6UT37t25zB07dvDvWZ0ZGRk8ik1NTQ0sFgtSUlIAAA6HA+np6fwPrra2FgcOHNC0k+U+CFX2eDxo164dl3ngwAGIoshd35xOJ0RRDKsbt9vN37CwfrRo0QIGg/+9RHV1NZKTk8Pq5ptvvkk4tyZZljFixAisW7cOV155JQoKCnD33XcjOzsbgiBg1qxZeOCBB7B+/XrceuutKCsrQ3l5OXr27Im1a9ciLy8Pb731FubNm4dNmzbh+++/x6RJk7B58+ag9W3duhW33XYb9uzZA4PBgOrqas3vIQFIuDEKhc1mw9/+9je88847/LMhQ4ZgzZpTgbJGjRqF//znP2HfSjZRmsw4NRbhwiAnCAFjpLZJFRUVOH78OJ93fT4fampqwtokURTRuXNnbpN+//13GI3GRrdJZrMZqampAPw2KDU1lb/MqKurw/79+2O2SW3btuUyi4uL4fF4QtqkYLqJZJNqampgtVq521a0Nun6669X1A+427dvDzsmVVVVSE9Ph9ls5vrIycnh9xw7dgyVlZVo0aIFAMDr9cJut0fUz7nnnsvLu3fvhsVi4TsXNpsNBoOBz2tOpxMej4ePo8/ng8vlCjvOlZWVyMzM5L+lYPrKzMxE+/bteZ0HDx7UyDhx4gRycnJC6kYURbRv357/Pv/44w/4fD4+7nV1dZAkKaxuVqxYcdbMdVVVVbjtttt4RMAmBrkInk2MGzcO3bp9ioqKuaiuvgozZiTzyddgMMBsNvMy4N+9UJeTkpIwe/ZsHD/+d1RUzMXWrV2xePE5mmssFgsvC4KApKQkzfft27fH1KkmVFTMRatW43HXXUbN90ajEUbjqc9MJpOmXYIg4NZbb8XgwT+jomIugBGYNElbh8FgCNuP5ORkTJs2DQbDy6iomIu9ey/EW2/lBFwTTjcZGRmYO3cuDh6ciIqKuVi/vg2+/vpi7kNsNpthMpnC6iYRMRgMWLZsGXbu3Im1a9di2bJlePnll7Fjxw4AwO233w7AHxb1yJEjcLvd2LRpE3r37o28PH96ljFjxqCwsBAOR8govJxzzjkHPp8Pf/3rX3HVVVdh2LBhjde5ZkJVVRV69uyJo0ePaj5ft26d5q1gMLp164YNGzbgmmuuqXf9CZLEsUnx6KOPwul0oqysDNu2bcOFF16Izz//nD+0x4Noo24lEuPGjcMQz6dA0VzszbsKhV+cmndlWY5ok6xWK9544w3+wHrnnXeisrIyJpvUtm1bzL3RBBTNBS4ZjwG/RbZJapmA/yzK2LFjAfgXIA8//HC9bFLX314Biubip1a98NTGLE271TYpmG6YTWIMHjxYU28wW6ovB2PgwIGYfOFBrp+CXaawfTGZTBrbZ7Va8fDDD/Pf5/z58/Hhhx9q6rVarWH1ZbFYNH0bMWIEnE6nxkbrx1mvr65du8Y8znr9jBo1CrfddhsA4IcffsCzzz4bICPSOL/44oto27YtAL+Hx969ewOes8Lp5mwiKyurqS6uIkI7WM2MNWvWKC1bDkVaWj/U1q5rkKy0tIIGyWjo/c1BxiWXKE3iTVReXh6mT5+Ov/zlL5ogFyzoxbfffotZs2bxiVCWZSQnJ+PEiRMoKirS7GCtWrUKkydPBgDcddddeOyxx+B2u/H999/jm2++wfvvv48tW7ZwA5QAJNwYrVq1CrNnz+ZuDoxFixbBbrdj/Pjx/DP9DtYbb7yBtm3bBnXXjJYESeKoJ+HGSc1VV12FnJwcvPvuuzCbzejRowcWL16MXr16hb0vHofIE4iAMVqzZo0y5KehQG4/4GDD5uEG06ngzLfhTLfj6UCb9OKLLyqTPVMTY4ziQaKMc30JMkZIoLmO4NAO1tlGq1bjT+5g/RkzZsjcQEuShNraWu6CAARu0yuKgk8++US1g3UeFi8+BxaLBUCgO5/L5YIsy3z7W5ZlZGRk4MUXs07uYBXirrt+1dRZXV2NjIwMvk1vt9thtVq5K4DdbsfYsWNVO1i3YNKkCk1kO3279dv2ADBr1izVDlZvvPVWDtdFbW0tjEZjWN2YTCZ8+umnqh2s9podLLvdjqSkpLC6WRM0xeGZpaysDAcPHkS/fv0AAIcPH0ZFRQW6du0a8p5+/frhr3/9K/bs2YPu3bvjv//9Ly6++GKkp6cjIyMDNpuNX3vttdfi2muv5eWKigqYTCYMHToUf/7zn7F8+XIcOHAgkRZYCcfmzZuRlZWFa665BgcOHOBRHvPy8vD++6ciOE+cOBF79uzBhAkTMHnyZHTt2hX79u3D4MGD6113U0nimGhs27YN27Zt4/OY1+vlrkOjR4+G2WzG/PnzA+6L5xmIhOWS8f4drMw/o/CL2G3SkiVLAnawYrFJaWlp+OieHP/ORt9CDJgRu00aPXp0wA5WrDZp5syZp3awvBfjqY1ZXBd1dXUwGAxR2STG4MGDkZKSwnc/9DbJZrPBbDZrbVKEMULfQhT8c3uAa526bzU1NUhPT+f6EkUR//jHPwJ2sFhfRFGE2+3WhOTWy/T5fPjyyy95me1gMTdEm80Gi8Wi0ZcgCLxvkiShTZs2ePuW1JDjXFVVhczMzLD6mjhxYsAOFqsjWLv1ZUEQMG/evIAdLPb7dTgcMJlMYXXzRagxIpoUtIPVzLjiiisUNnl4vV7IssxdVGRZ1pQB/6SkLvt8Pj7ZAH6/aPVWviRJEASBT6w+nw+KogTUoY744vF4NHV4vV6YTCa+UJEkSVOHz+fjrg2srG9npLLP59O4MHg8nqjaHUkXRqMxZLuD6WbTpk0J9yaqtLQU9913H0pLS5GcnAxZljFx4kSMHz8+IEy7urxy5Uo88cQTkCQJrVq1wty5c3HeeedBkiTcdNNNKCkpQffu3QMeGLds2YL77rsPkiRBkiRce+21eOWVV2AwGJCfn48vv/yS+7yfIRJujG6++WZ4PB4sXboUJpMJAwYMwKOPPoqRI0di5MiR+Oijj/jvTI0syxg1ahQ++OCDgO+i3SkpKirCPffcg127dvHv8/Ly8N5776FPnz5x6mG9SLhxYhQXF2Pw4MEoKSkB4H8AveCCC3D8+HG88cYbyMrKwrfffht0gdXcd7DUNkmSJD43A9HbJLPZzOfd02GTvF4vDAaDRqbaJsmyzO8J1e5gZbU7WiLZpH79+inqevT6CdYXfb1Go5FfU59nD0mSAsYo3uMcrN36OthxAVbHmXj2+OmnnxJ2riM00A7W2URycnJMuzTB3sa0aNEipl0a/dvCmpqasHVE87bQbDbzdns8HoiiqDm0H+xtobpss9mQmprKJy39269odaMvZ2VlxaSbRKRz5874+uuvg36nf+GiLg8dOhRDhw4NuMdkMmH58uUh6+vTpw+KioqCfrdt27ZomnzWUVRUhLVr1/K3nvn5+SgvLwcAPP744zhy5IgmeiCjrKwMjz32WFCZZ8VOyRli69atmnwuRUVF/HfvdDoxbNiwkC6WzX1c4mGTMjMzm4VNSklJCbsjE2kHS2+TotmR0e9gBUO/0xZpl0a/g2W322GxWGLapQmmL3XfotGXfgfL4XCEHedo9KWuQ/9bOl26IZoHtMAiCIJIIMrLy+FyuTQumz///DPGjBkDALjkkktC3pubmxt04QVEv1OSm5uLsrIy+Hw+nsQx1IKO8LN161bNuLAF1ooVK3Do0CFMnToVW7ZswY8//ogBAwbUu54HH3wQS5cuxbFjxzBkyBBkZ2drdhoJgiCIxIAWWARBEAnEL7/8wsMDd+rUCf/+97+Rk5ODSy+9FED48zzhiHanpKkkcUwkpk2bpin/7//+r6ZcUlKC6dOnN2hxBfjP8MycObNBMgiCIIjGhxZYzQyn0wm32w3Av2Wu3nY2GAzwer2orq7mn0mSFLTM3DHUvsKAPxxrbW0tPB4PAL8/sc/ngyiK/Hp9HWqfaMB/rsdms/E6RFGEKIpwOp28DW63m/fD5/NpDpmyetR1+Hw+TVkURe5PzWSqt/ktFgtsNhuvQ5blkLpQ36Pvh91u564AXq8XXq9XoxuCiJWioiIUFhbi7rvvRkVFBfLz8/HRRx8B8EcIvPbaaxs9ot+cOXMwevRoPPfcc2jZsqUm7xYRO126dIl5QdxciGSTIs27wWyS+vxhNDZJFMWYbZL6/E5j2CSv16uxSWazOWabpD43xvqht0kejyeiTTpx4oRGp8ydTS1X3xefz8f7wvTFXBDVeZ4Af2hzj8cTti96fanPLQF++1tbW6v5LSmKwvsWTF/Bxrmmpibg2UOvL/U4q8cICBxnfZ163ehlWCwW2O32gHGm54XmBy2wmhnJycl8UnE6nRg8eDDuu+8+AP6M1hMnTtT4jTPfc31ZPWk//vjjPHnfv/71L6xbt467E7ndbsiyzI2Noiiw2WwBRnThwoW8fMcdd2hySTgcDlitVr6Aqa2t1SQ3FkUR3bt3xzPPPMNlDB8+PGi7GXa7HampqXzidLlcGDduHH+D/Nlnn+H999/ndUiSBKfTGVamIAiYM2cOv+f+++/nCSlZnWpfazaBEkQshMoyH815nnjRvXt3bNq0qVHrIM4O9DbpyiuvxLhx4wAAx48fx4QJE8LapJqamgCb9MQTT3CbNHPmTKxbt04z7+ptEpPBMBqNDbZJ3bp1w3PPPcdlRGOTUlJS+KLN5XLh3nvvxaBBgwAE2iSfz4e6urqYbFJhYSGqq6u5TXI4HDCbzRFtkvqMG+BfYM2bN4+Xb7rpJk29NpsNaWlp3L46HA5NUuC6ujoMHToUd999NwB/Xr3HH39cs9DQ94Ule1b37dlnn0WXLl0AADNmzMCWLVt4X9hijj2LyLIMh8OhkWEymbBgwQJevuWWW5CUlMT76nA4kJSUFFJfHo8H+fn5mDJlCpcRaZz1uvF6vZg4cSIuu+wyAMAHH3yAZcuW8Tq8Xi/cbneDE8NPmTIFEyZMQMuWLfHII49g9erVOHToUNBr161bh4ULF8Lj8SAzMxNvvPEGSktLsXDhQs1zVnPldOmKFljNDPVbH3YAlB1gdblcmshI+uvVZfXbwszMTC6DJfZj9zCDxMqyLAeVqT5Ey6L2qGWoyyxxn/p7q9WqkaGvQ92GUHWkp6dzGampqZrvFUUJqQuGoijIycnhEyOLFKRut/qeszVxINE4xPs8D0GcDsLZJH20Pv31jEg2Kdi8q7ZJweo40zZJEARkZGRwGeyhPFablJ2dzRcZLEphrDZJnwzbZDKF7RurI5y+UlNTuYzy8vKonz3UqMeZJeMN1bdg+jIYDEHHWZ28ONw4s6TV4XQRSTc+nw8tWrTgMlhYffX3et3Eis1mw5EjR/hidMGCBRgyZEjI6wsKCnhI/eHDh6O2thadO3fGH3/8AYfD0eDFXiITT10JgpCuKIoj1L30BEgQBNEEeOqpp/Dmm2/i+eefxxVXXEGLK4IgiLOIqqoqtGvXLuDzdevWoWfPnjHLW7FiBXr06MHTsnTr1g0bNmxocDvPNKH0BMRXVwD6hbuHdrCaGS6XC16vF4DfjWHFihX47bffAPjdA/RhWr1eL+x2e0BZnSfi+eef51vgxcXFcDqdkCSJX8983gH/20JRFDUyJUnC+PHjeZmF1WVvkdxut+bsEvMZZ/2QJAmbN2/WyAhWh7rM3ETUiRBnz56NxYsXAwCOHTuG2tpaXgfz2Q+mC3UdDzzwAJd58OBBAKfe/jEfe7VuCCLenM3neYimRzCbtHv3bgDQnNthRGOTpk+fzs/4xMsmmc1mPrdHY5O2bNkSF5vEgs8cO3YMDoeDnx2L1ib97W9/4zJLS0s156ZFUYTX641ok6qrqzU7KJWVlZq+eTweTb0ej0dzFo7pi7Xd4/Hgk08+4ek5amtr4XQ6Icty2L7oy08//TR/oP3jjz/gdDp5H1iuLdY3WZYD2un1ejX9cDgc8Hq9/LfE2s1cBJm+1HWsX78+rC70/dDrRhRFvP7663j33XcB+FNpqJ89JEmK+lnhl19+wZ/+9KeAz+12uyY8fTS8/fbbKCkpwYwZM/hnWVlZmr40VULpCYivrgCEja1PC6xmhtls5n7jsizD7XajuLgYwKkke/pEfMHK6oSLx48fR2VlJQD/RKn2tQagkckSMOplsjYAp9wr1AEoLBaLJrmfWqbBYIAoikFlMNxut6bM2qD2g66urkZdXR0Av9FX94MdMo2km9LSUo2rSlJSkuYgtF6/BEEQZzMmk0ljH9T2oL42qby8HFVVVQD8533MZrPmHrV9iNYmJSUlaWyS2pY2hk1iwRFYcKd42CRZlgNsklr/obBYLBo3wVA2myGKYkBf9PpyuVwxjXMwfR09elRzZk2tH0VRoCiKZpyDJSvW90P9cpeNCXv20OtLEAR4vV6NjEj9CKabEydO8IWL0+nU9MNoNGr6EY7NmzcjKysL11xzDQ4cOIA+ffrggw8+QF5eHt5//31+3cSJE7Fnzx5MmDABkydPRkpKCj788EM89NBDAIDly5fjySefxLBhwzBhwgRMmzYNrVq1wr59+zB48OCI7Uh0QunJZDLFVVcAdodrBy2wmhnqycHr9WomA6PRGGBo9BMnK7MJ2+PxaCZOl8sVYDDV2dNlWYbL5QpbB5tg2ATE6mDX6MsAAiagUO1muN1ujdFwu92nRTfqdqvf1hEEQZyNqOfE0zXv6l/61ccmqR+C42WTzGYzf5hnZfWCSn1PNLoxGo2aBYNeN3q7F8om6SPlReoL02coGy6KYsBCRb9YjNaGh9OXIAiasn7xE0xf6pe7bJzV+tL/liK1szF0E4rNmzfD4/Hg888/h8lkwoABA7Bs2TKMHDkS06ZN4y8CZs+ejdmzZ/P7li9fzlzaAADDhg3D4cOHNbJlWUZFRUW93OdOB9HmcQTC66l3795x05WiKGGTENICiyAIgiAIgiASmKKiIqxdu5YH2srPz0d5eTkAf7TnUAnhhw0bFlF2WVkZHnvssfg2OI5Em8cRCK8n4PTpihZYzQy9vzvb4gb82/bR+D07HKeCong8Hvh8Ph7eVRRFjd+z1+uFoiiaHA6R6vB6vXA4HJq3SJIkafzd1X7QPp+P57wI1+5gftDqOlj/T6duCIIgzmbiYZPUZ7BOh01yu91NwiaxdofSDbOtkWySw+GIqS+iKAa14eozWCzvprovahqqLzbO6jNYkc7BRaMvfR2yLGt+S7Hqhv2WYtFNMMrLy+FyudC1a1f+2c8//4wxY8YAAC655JKIMsKRm5sbdMGRKES7gxVJT8Dp0xUtsJoZJpOJb6kz9z1WNhgMaNGiBf7yl7/w6+fNm8e/B065FKgT8ZlMJu5q5/V6cdlll+HCCy8EAOzbtw9r167lMtgkrZepLiclJWHYsGHcLWHp0qU8/wRwauufldkWulqG1WrF7bffzstvvvmm5nuWJFJ90NRgMGh0c+6552LgwIEA/KE7P/roo7Dt1uvGYrFg8ODBaNu2LQDg+++/x4EDBwJ0QRAEcbYSziYZjUZkZGRg5MiR/PpgNslsNmtsktFo5NfobdIff/yB77//vkE26dNPP4XdbtfYJLUMQRD4uSOGxWLBHXfcwcsNtUl2ux0ffvihRgZzhwylG7PZjMGDB/MIamvXrsX+/fsj2iRZlrmbXLB6kpKScNttt/Hy22+/zdOUsL6oxySYvrKzszF8+HAuQz/OapvP9GU0GjXnyQoKCnDBBRcAAHbt2oWNGzdq9CeKYsRxvummm7g73scff6zpKwuAodaXOggG69Odd97Jy9GMs143PXv2xOWXXw4AqKiowLJlyzQygvHLL7/AZrPh4MGD6NSpE/79738jJycHubm5GD58ONq0aQO73Y6FCxdq3OUA//ONPt9TsPxOeoLdBwDTpk1DRUUFjEYjXnvttYD7gsl2u92YMGECMjIyYDAY8Prrr4ftr55od7BC6enSSy/l14wePRpms7nRg0XRAquZYTab+R8X8zFlZUmS0L59e4wdO5Zfv2DBAs0fo9Pp5HlFgFOHQNnk6/F4MHDgQNx0000AgFWrVuHnn3/WJPtzu91BZaq54447eF6IDRs28IOhrE51P9hbRLUMq9Wq6Yd+UhFFUXPYVxRFWCwWjW7y8/O5jLKyMixbtixsu/W6URQFN954Izfsx48fR1lZWUBfCYIgzlYi2aR27dqFncuD2aSkpCSNTSooKMCIESMAAGvWrMGmTZsaZJM2bdqkCV4QL5ukDqigt0myLKN3795cxtGjR/Hpp5+GbbfL5dIE52A26aKLLgLgf5t/+PDhiDaJRWQMpx913xYvXqzJ/+T1emGxWLhLFgsWwWSIoohOnTqFffaoq6sLasPVC5PBgwdj6NChAPwvZrdv3675LYmiGFZfiqLg7rvv5pEJv//+exw/fpz/lvRjAkDTD8A/5uHG2ePxIDk5Oaxu+vbty2Xs2bMHX331VcQxKioqQmFhIe6++25UVFQgPz8fH330EX7++WcMGjQIf//73/Hggw+iuLgYeXl5mntbtGgRkO8pWH4nppdw9y1fvhw7d+5Ehw4d0Lp166BtDSb7888/x6BBgzBmzBg88cQT2Lx5M/r27Ru2z/UhlJ4Yb7zxBq699lp8++23ca9bDy2wCIIgmhAsC/3hw4frnWGeIAiCaDo89dRTQT+/9NJL8frrr2Pjxo0wGo3o3r17THL1+Z0isWvXLvTs2RNPPfUUpkyZgnXr1vHFVDjZpaWlfNeua9euKCkpaZQFVig9Af7Fl9PpxLBhw2iBRcSO2m9ckiQeBQfwvz202+3Yvn07v56FzVWXma8wcCrqE3Mt8Pl8KCkp4TKKi4s1+UKY77tapr5sMBiwa9cunovAbrdr6mTuBepQqup+sXaq+6Gvg13PfKeZ26E6DO/Ro0e5jIqKiojt1utGEATs3buX11FeXq7RhfpagogH6iz0Xbp0CZlh3uFwID09/Qy3liAi2ySHwxF2Lo/GJpWWljbIJgmCcFpsEjsvxspqm8TCkjMZJ06cCKgjWD/Y2S3G3r17eR0VFRVR2SRRFDXug8H0o+4bk6PepREEQbPLqD4/5fV6UVNTE3GcI+mruLiYyzh48CC8Xi+vg52VijTOO3bsQEpKCgDwvGOs78GeE/QyFEUJ2w9WDqebsrIyLqOkpCRgnGNhwYIFGDduHG666Sa8/PLLWLlyJf7nf/4nqnuD5XeKROfOnXnanpycnJB5s/SyO3XqhNLSUgD+fG35+flR1xkvVqxYgUOHDmHq1KnYsmULfvzxRwwYMKDR6hPonEjzoqCgQFG7xbG8GMCpP3x1SNa6ujo+2QCB7hjMP1kd7lwdlpQd/FW7ObhcLk0dTqczaB1sEnM6nRo/fXbgVL2lLopigIxI/VCHSnW5XDykrVo3+nbrZUTSjToUvMvl0oSNPZmk8JTlOwX90SUWCTdGVVVV6NmzJ44ePar5fMWKFdi5cycmT56s+ezHH3/khuy5557D5Zdfjmuuuabe9e/duxejR49GZWUlsrOz8c477+D888+vt7w4kXDjRAQQMEbhbBJz32tMm6QoSoC9OFtsEmt3JJvUv39/RX0Gq66uLkBf+r6pXRNZ+hamLxagItZnD3WZ9UWvL3W4c0mSYn72SElJ4foKNs56G66ug7Vbvduj7wcL0x5ONwA0unG73RoZ33//fdRz3Z49e/DEE0+gXbt2OHLkCObOnQtFUTS5nAB/vqfPPvsMw4YNw+TJk7Fr1y5MmDCBR82bNm0aZFmOeF+HDh1QWFiIFi1aoKqqCvPmzUNVVVVA7ii97LS0NNx///3IysqCz+fDv/71Lxw7dgxPPvkk5s+fj+nTp+Pqq69Gv379cP3112PFihXBuhsXSkpKMH369HicwQo2ThzawWpmJCUl8cmgtrY2wN8dgGZy8Hg8mjfdoigiPT09IJmuOoGgxWLhkwGbBNmkxt4iBZPJkCQJqampfOJkebTUCQT1/u4mkylAprofbrdb870sy0hNTeWGhh3iDacbWZbDtjuSbljCZLVuCKI+hMpEr89CHyrDfKi3itEyYcIETJw4EaNGjcJ7772H8ePHnxaXCqL5EckmKYrS6DZJkqSEsEkpKSmaoAxqm1RXVweDwRCTTfJ6vUhLS9OcwdLrxmw2R7RJ2dnZmnIw26fumyRJSEtL4/pSFEVzzghAwBksg8EQdpz15Wj0lZSUxPsWrb5SU1M1u15qfenrcLlc/FkilC707fb5fDHrRhCEenscdO/eHUuXLtV8ps/lBCAg31PXrl0D8jtFcx+AgIXJL7/8EjF3FOC3V2ratm3LZT355JP888ZcXAFAly5dGj3ABQAYGr0GgiAIIibUmejPO+883HrrrZAkCXl5edi/fz+AUxnmjx07hgkTJqCiogKAP7Jnjx496l13eXk5tmzZwiOi3XHHHdiyZQuXTxAEQSQuw4YNw3XXXZfw9zV3aAeLIAgiwQiXiZ5loQ+XYb5nz54BMqPNI3Lo0CF06NCBv4E1Go1o3749Dh06hFatWsW5pwRBEATR/KAFVjOjtrYWTqcTgH+rmvmfA+BJ+dgBRQAaNwjA/4BWVVXFy+zwpfrQpyiK3NWAbeMzGbIsw+v1aurQ1ylJEqqrq7nLh8FggMVi4TIsFgvsdjtvN3M71B90VstMTk7W9EOSJNTU1GgOlno8nrC6UbeB1atvdyTdpKamchnq5IQEEQvhMtGHy0IfLsN8tHlECCKenAmbpLYHp8sm6WXqbZLP54PNZou7TaquruZlJlOtG719DkZFRQW/h4TuwKUAACAASURBVMkJpy+WuoW54CuKAofDgbq6uqB9YfpSJ9TV901RFE0dXq+XuxaG0ldaWhqXYTKZUFlZGXGcq6qq+BiwM3BMhtlshsPh0LSbnRMMpZukpKSAZw/1b4m1O5xu9L95onlAC6xmRlpaWlh/99raWs0ZDpPJpHnwuvLKK5GWlsYnB7vdrvFRrqmpCfB3HzhwIA+NKYoirr76ak0d7KA8o7q6GhkZGfwNuSRJePLJJ3kIz9mzZ2PZsmX84dLj8QT4UutlyrKs6cfw4cN5kmTAH30t0hmsDh06aPxyBwwYENCPrKyssLoZN24cz8eyevXq4INEEGGIlIk+XBb6cBnmo93Bys3NRVlZGc9Z5PP5Qi7oCCISDbVJgwcPRmpqakw2qaCggKcqkGUZAwcORMuWLbnMSDbJ6/Vi6tSp6NevHwBgzpw5WLJkieYMVqw26aabbtIkvtXbpGBnsNq3b4+33nqLy9DbpKqqKmRmZvJFiF43NptNY5PWrFkTdIz0O9P6vujLTCdt27YFABQWFmLfvn3cZjscjoBzRm63GxkZGfx+i8Wi0Y++bzabTXMGK5i+hg4dyl8onThxAiNGjNDk9NK3W68vWZYxbdo0HtHulVdewcqVK8OewQqmC3U/WAQ/9luy2+2aM1jBdNOtWzfMmjULRPOCFlgEQRAJRKRM9PXNQh/tDlbr1q2Rn5+PRYsWYdSoUVi0aBEuvvhicg8kCIIgiCihIBcEQRAJhDoTfV5eHtatW8cz0bMs9I3NnDlzMGvWLP5mdc6cOY1eJ0EQBEE0FygPVjPj8ssvV5grhSzLUBRFEy5UlmVeZteo81+oE+QBfjcFo9HI3TN8Pp8mER/z6WYyFEWBKIoaGczVSF02GAwamSaTSeOeoW6nvh/BZAbrh74OfbuD6UbtB63Xhb7OYLoxGo3cLdHn8+Gnn36i3D2JT5MYo6KiInzzzTe49dZb45XDo6nRJMbpLCdgjBpqk9xuN59TAbJJehsUSTcGg4G72YWySeoxCqUffd/MZjOvx+PxRNWXRHj20LfBaDTyz9iZulD9CCUj3uP8448/0lzXNKA8WGcTsfq7V1ZWxnzOSO/vrvZRlmUZNTU1yMrK0sgM5+9ut9s1hzztdntAzpFI/u4nTpwI8N9W58GK5gxWMN3o/dBj1Q1BxIvTnYWeIOIB2SQ/0Zwp0p/BimSTojmDFU0erFjPYNXU1CA9PT2mc0b6M1j6cT5x4gRycnJi0pcgCJo8WA6HI+xZu2j0FSkPVjDdqPsRD93Ul0cffRROpxNlZWXYtm0bLrzwQh6JljjF6dITaZ0gCKIJwALJsCz0tLgiCIIgGFu3bkVOTg4WL14Ms9mMHj164LfffkOvXr3OdNManWiDOAGnT0+0wCIIgmhCnK4s9ARBEETTYdu2bdi2bRvfefV6vWjZsiWGDx+ONm3awG63Y+HChZrFBuDfuXvkkUewevVqHDp0CACwbt06LFy4EB6PB5mZmXjjjTcC6gt2HwBMmzYNFRUVMBqNeO211wLuCybb7XZjwoQJyMjIgMFgwOuvvx5T32NJQxJMT+od7voGktJDQS6aGWo/akEQ4PF4NN+r81AAgXkx9GVJkjSfCYIASZI016jrCPa9XibLA6Eu63NGqfOLCIKgKbN71OjPEurbrSiK5h69bgRBaBTdEARBnM2Es0nRzrt6exFu3g1WR31skl6m3ibpbWs0Nkn9GcsBpiZW3ejrDGZL9f0IBsvJFEpuMNsXzoYHs9n6sl5mNDY83s8ekiQF9FWt82jGOdJzQSTdBNNVfSguLkZGRgY6deoEwO+qWFdXh927d2PQoEGYN28eWrdujeLi4oB7W7RogQULFuCCCy7gnxUUFOCtt97Ce++9h0OHDqG2tjaq+5YvX46dO3fCZDKhTZs2QdsaTPbSpUsxaNAgzJw5EykpKdi8eXNM/R85ciTy8/OD/lO7xobSU8eOHQHEN5AU7WA1M1avXh320B1BEARBnC7IJiU+33zzDY1RE2fr1q3o27cvLxcVFaFPnz649NJL8frrr2Pjxo0wGo3o3r17THJXrFiBHj16IC0tLarrd+3ahZ49e+Kpp57ClClTsG7dOhQUFESUXVpaynOhdu3aFSUlJZr+RCLaHaxQemL/73Q6MWzYMHz77bdR1x0K2sEiCIIgCIIgiCbK1q1bNUno2cJhwYIFGDduHD7++GP06dMHK1eujFrm22+/jV9++QUzZsyI+p7OnTvzICA5OTmw2+1Rye7UqRNKS0sBAKWlpejcuXPUdcZCKD0B/gXfvn37MHXqVKxfvx4//vhjg+qiMO3NjDvvvFNhbxqqq6tRUVHBo9NIkgS73a7xNa2qqtKURVFEx44deZSd4uJiGAwG7qvqcDggCAJ/m+F2u+F2u3kUHUVR4Ha70bVrVy7z999/12RXr6qqQkZGRsgIf3V1dUhPT0fr1q0B+CP5lJaWBmSwD9cPj8eDNm3a8Mg9hw8fhsfj4dGAXC4XRFHk7fL5fLDZbBoZXq8Xubm5mn5kZGRwN4uamhokJyeH1I3H48GqVaso3GriQ2PUNKBxSnwCxkhtk2pqalBeXs5tUrAIfw21SR6PBy6XK642yel0IjU1lbs8ud1ulJSUNMgmlZWVwe12h7RJwXQjiiJ3bWL9SE9P57qpqalBUlKSJmIdAB7tMJRNGjlypKKuZ/fu3ZpofPq+VFdXIz09nevL6XQiJyeHj2tlZSUqKytjfvZQ923//v0wm808wp/dbofBYAj57CHLMkRRRJcuXTT60Y+zOoqgXl8saiOLZlhbW4vDhw9HjOSo70fbtm15uw8ePAhJkni0Q6fTCUmSwurm888/j9tct2fPHjzxxBNo164djhw5grlz50JRFHz44Yd46KGH+HUTJ07EZ599hmHDhmHy5MnYtWsXJkyYgGHDhgHwn6uSZTnifR06dEBhYSFatGiBqqoqzJs3D1VVVZr7li9fHiA7LS0N999/P7KysuDz+fCvf/0Lx44dw5NPPon58+dj+vTpuPrqq9GvXz9cf/31WLFiRX3UERUskFQUZ7DC7vzSAquZsWbNGmXIkCEAgEWLFuGtt96KKeyroij45JNPuPG64447UFVVFVNI3IyMDCxatIjLHDBggKbOaELijh07FqNHjwYAbNmyBY8++qhmizpYSFx1iFcAmDVrFp9sJ02ahG3btsUULthkMuHTTz/l5cGDByM1NTWmcMFr1qyhh8LEh8aoaUDjlPgEjJHaJn344YeYP39+zDZpyZIl/CH4zjvvRGVlZUw2KS0tjSfrBupnk0aPHo2xY8cCALZv346HH344Zps0c+ZMvtCbPHkyioqKYgrTHswmpaSkxBSmPZhNevHFF5XJkyfzckFBQdhw5/pQ5KIo4h//+Ad3BZs/fz4+/PDDiGHa1TJ9Ph++/PJLXh4xYgScTmdMYdrbtGmDt99+m8vQj3M0YdonTpyI2267DQDwww8/4Nlnn+V1BGu3viwIAubNm4e2bdsC8C9A9u7dG1OY9i+++KJR57rly5fDaDTiuuuuS+j7mgCUB+ts4+DBiaiomItWra5qsIyrr+6KxYvPaUAbxje4DcCIBsu45JILsW1bTuQbwsi4+eY2+Prri+vdFoIgiLOSFROBorno06L+NilebcAl9bdJ8WzHcHMvFCEr8vWni0TRT0NpLv1oRNjOUaLf19ShHaxmxpo1a5SWLYciLa0famvXNUhWWlpBg2Q09P7mIOOSSxR665740Bg1DWicEp/gO1g/DQVy+wEHGzYPN5hOBWe+DWe6HU8H2qQXX3xRmeyZmhhjFA8SZZzrS5AxAs11iQi5CJ5NXHHFFcottxSjf/+jWL++DRYt6sS38RVFgSzLvAz4t+XVZVmWYbVaMWLEH+jf/yh+/LE1Fi/uyt3ifD4fBEHgW+wshK6+jjvvPIz+/Y/ip5/a4YMPOoatUy/T5/PBYDDg9tsPBu1HKBn6fpjNZowceYD34+OPu0RsdyRdLFlyajdPkiQYjcawutm0aRNNlIkPjVHTgMYp8QkYoyuuuEJ5tEcxhnc4ik8PtcFLO+tnkxhutxsGgyFmmzSl12EM73AUn5W1w4xfY7NJsixDEATuSubz+eD1eutlk/7e/QCGdziKpQdb45Xf6meT1LrQ1xlJN8FsUv/+/ZVJeSUx6Udfj8lk4meyRFHUtD2Rx1lfh9Fo5G6J9Rlnn88Hi8XC2+l2u6Nqt1rGhg0baK5rGtAC62xiyJAhCvP1raurg9Fo5L6/Pp8PtbW1AYc+wx08dTgcSEpKCukH7Xa7Icsy91FWFAU1NTVhD8jW1NTwZHJAoB+0w+GA2Wzm7RZFEaIoavzd9TL1ftB2ux0pKSl8wrfb7bBYLGioblq2bMkn42h0Q2ewmgQ0Rk0DGqfEJ2CM4mGTYp139Tapuro6rJ3T2ySHwwGLxaIJpBFvm2Sz2WC1WjU2SX0G63TapBtuuEFRPwtG6ovNZkNaWhpfFOj1VVtbC5PJxPvm9Xrhdrt5sI366Mtut8NsNmsCjwiCoNGXw+EIG3ikuroamZmZGn1ZrVZNIA31c4Lb7YbP5+Pn+eqjG/15vmh0s3z5cprrmgZ0ButsQ59MMNZyQ2SwSTqWOvT/bWgb1OVEkEkQBHE2cybnckVRorpf/1lj2A/1Z8H+G2udkWxnqO+DEame02Vfw7UrHnXGKrO+3zf0+YZo+lAeLIIgCIIgCIIgiDhBO1jNDJZLA/BvPbPcEMCpPBE2m41fz1wJGAaDATabjb9Ncbvd8Hq9fJve6/VCkiR4vV4A/nNIbIse8L+FYTmlGJIkacqiKPKcFkymOgyqxWKBw+Hg7WZ+0LIsh5Sp7wfg35pn2/Qejwderzesblgf1ajr8Hq9EXWj7kcweQRBEGcTZ8ImMfcrwG+TZFmO2Sap7Vq8bJLD4YirTWLtDqUbURQ1/Qhlk6qqqjRngJitC9U3tivIMBgMqKurg8fj4fe73e4AfandEEONM4O554XTl9reGgyGqJ89WNuDPXvU1tbyOiRJgs/ngyRJIXUT6tmD/ZZYu8PphrkoEs0LegJsZqj9oF0uFwRB4MZGkiQoiqKZUMxmM1599VVevvfee5GcnMwnIHbwVH3oU+2L7na70bt3b0yYMIHXce+992rqEEVRU2ZJ99SHPv/617+iV69eAICPPvoI33zzjcbf3WAwaGToJ0ZBEDT9eOihh3gQClaH2WzW6AaAxn+7VatWeOaZZ7iMMWPGBK0znG5uvvlmXHWVPxTxxo0bAweIIAjiLEJvkwDtvKs+LwU03CZ5PB706tULhYWF/PqxY8fGZJN8Ph/uvfdebpMWL16M1atXa2ySOgcTENkmPfzww5qACafDJsmyjOHDh4PlIdu0aROCkZqayvserC96fRmNRjz55JP87NHzzz+PQ4cO8YWC0+mEwWDQPHvo9WWxWPDKK6+E7JvP50NycjJfFLKFiFpfl156KcaMGQPAf47ukUceCdtuvb4AoLCwEBdccAEA4L///S/Wr1+v+S35fL6w42w0GjXjPHHiRP454B8Di8USVje5ubl4/PHHQTQvaIHVzFBHwPF4PJqyIAjweDyaNy4mkwndunXjZYPBALPZzCcgo9EIk8nE7zEYDBqZkiQhMzOTyxBFUfO9Wqa6bDKZ+AQkSRI6duzIZWRlZcFsNmuMBDNGDEEQNGVZljX9YJMZm5z17Q6mm5SUlKC60NcZTjetW7fmMkpLS4OMEEEQxNlDpHlXby/0Nol9X1+bJMtyUBsUziYBQIcOHbiM7OxsTZ31tUnqe/TtZi8S1bpJTk4Oa5NYu9niKJhu2rZty2UcPHgwcIAATfS+YH3R1wsAXbt25cl0U1NTNX1h7WJlFjVPLcNsNoftm74vRqMxQF9ZWVlcxokTJ6J+9lC/3M3NzeUyWrZsqamTLQzDjTMATT/U7Q3W7mC6SUtL08iIlcWLF+OFF16Aoihwu93o06cPPvjgAwiCAIfDoQnGwsjPz8eGDRs0O5yNSbi2RMN7772H7du34+WXX45zyxretlDQAosgCIIgCIIgmhhHjx5FYWEhtmzZgtzcXCiKgu3bt0e8b9u2baehdfFj2bJlePjhh890M2KCwrQ3M/r376+wNyfMJ13tSiFJkuZtlSAIuPLKK3l51apVGn/g/2/vbmOjKP44gH/v+lwKBSIkqCHoHwQrCDRUqUB8KCqCiPGBIAjRENHACwU0oGJICALBGF4YTEAIGh8CRrGImIpUIBFQDGqUgAJqeFIQSh/ueo/78H/RzDg7u/fQdsXSfj+JkeldZ3ZmrvvbuZ3ZEXek1HnQ6rdChmGgV69eGDVqlCxj586djjnwsVjMkRZ30cS3SLZto6ysTH4bduTIEZw5c8Zx3Po8ZT1PALjzzjvlv7/66ivYtu2YBy2+EfNqG3Ebf9y4cTKPmpoa174cBQUF8ptUr7YZNGgQ/ve//wEAzp49i40bN/Jxqx0f++jKwH7q+Dz3WEoVk8SaI33NlB6T1DtY2cSknj17oqKiAkBLfKmpqWlVTLIsC2VlZejXrx8A4OjRozh9+rSvMUncsWpPTIrH48jPz293TBo3bpzj70ivi54OBoOoqKiQU+X279+PSCQiyxVTKNO1l97Pet0SiYTjbpNXDO/bty9GjBghj3HPnj2umJ2unwFg6NCh6NOnDwDgp59+wrlz5xyfJdEPqfLU67Fr1y4EAgFHP6t94tU2RUVFGDNmjMxj2bJlWZ/rfvjhB0yaNAknTpxwTF0UxxYKhVBcXIyFCxfi3LlzePvtt+V1jLhrEwgEsHTpUuzcuRN1dXVYsWIFHn74YZlHqte+/fZbLF68GE1NTeK4MWnSJADA1q1b8dJLL6F3796YOHEiXnnlFdddonXr1uGnn37C2rVrcfDgQdx66604ePAgKioqMHfuXIwYMQJz5sxBPB7HjTfeiBMnTiAYDKKmpgYvvviinEa7bt06DBw40NU206dPx5EjRwC03OEsKCjAb7/95npfujpmwMe0dyX6rWfgn+lyYoM79WQRDoexb98+Rx7q64ZhID8/X54cxKJT9T2NjY0yDxFA9EGamk4mk46BSjQaxa+//io/+LFYDHl5efJ3xALTdHnq9TBNE4WFhfIkZxiGY9qhV9tEo1FHHoFAwFWmevL2aptTp07h3Llz8v1ERF1ZppikX3jr5/JAIOA474r3p4tJTU1N7YpJkUgEx44dw++//w7g8sQkcaytiUniuNO1TTYxSR0AeNVFTzc3N+P77793tFd+fr4c/IhpmerGzGIwmKp99LqJ+Kqui1M/S0DLwzna289Hjx7FsWPHALRci6j9LB7a1Zp+tiwLRUVFrn5O1zaRSMR1HZat4cOH45ZbbkH//v1xxx13YOzYsZg5c6ZcHxeLxfDEE09gwIABctqgl2AwiP379+PXX3/FbbfdhnHjxqFv374pX8vPz8czzzyDzz//HP369cNff/2FiooKHD58GIlEAk899RT279+PwYMHY/Xq1Z5lVlVVYc2aNQCA2tpaVFZWora2FhUVFaitrcXChQsBtAxa77jjDgSDQfz999+YOXMm9u7di7KyMmzcuBEzZszwXF/4wQcfAAB++eUXPProo3jrrbdStmO6+rcVB1idjLqpoNgdXKQNw5CLeYVoNOpKqwuKxR0vcTIQJxfxO+IJTSJtWRbi8XjaMuLxOAoLCx1rsNSN+MQJSRx3PB53LZDV84xEIq6FqIWFhY5vu/6LtiEi6soYk1qIi3sxQNBjkhggtKZtxN0U9WJebZtkMom8vLyMMUnd5DZVH+gPj9DbS92gVwyGRF0SiYTrAVt+tJfaB4ZhuB5q4dVe+uBHby+1jGg06noISzZtU1RU1K62aY1gMIjq6mocPnwYe/fuRXV1NV577TX8/PPPAIAJEyZg2rRpeP7559PmM3v2bADA4MGDUV5ejm+++QYPPPBAytdyc3Pxxx9/4L777pN5BAIBnDhxAn/++SfKy8vlw0PmzJmDRYsWucocOHAgotEozpw5g9raWqxcuRLLly/HjBkzEI/H5Z3Xbdu2YcqUKQBa7poNHz4cZWVlAFoejjJ37lyEQiHX5xhoucM3c+ZMvP/++xg+fHib6t9W3AeLiIiIiOgKNXToUMybNw9ffvklSktLsWfPHgAt01RramrQ3NycdV76Y/i9XrNtGzfffDN+/PFH+d/p06cxatQotGbp0V133YUdO3bg/PnzuP322/HXX39hx44d8mnMtm1j165duPvuuzMem+7AgQOYNWsWPv74Yzm42rRpE0aMGIERI0bg/fffb3X9W4N3sDqZRCIh9+YQc9NFWuxFof6hmabpSkciEUd+wD/zw8VeFuIPSHz7ojIMI20ZhmHIR5WqeYhpF2I/EHHc4pu8dHlaluVIJ5NJx5xwcdyp2sayrH+lbYiIurJ0MenfOO/q+1MB/01M0tPJZNK1J5gak2KxWKvbxjAM+Xh3r7YRba+2jZdIJOKI49nURW8vMd1TpMX6JXGc2fRzuvYSZaifJXGhD0D2lx/tJcrw+ixdjrZpjbNnz+LUqVOorKwEAJw5cwYXLlzAddddBwBYunQp1q5diwkTJmDHjh3o0aOHZz6bNm3CkiVLcPz4cfz444+49dZb076Wl5eH48ePY/fu3XKt4XfffYdRo0ahsrISs2fPxvHjxzFo0CBs2LAh5fFXVVVhyZIlmDBhAgBgzJgxWLVqFV599VUALdvdDBs2TN7hE3n/8ssvGDJkCN555x2MHDnSdfeqtrYWCxYswPbt2zFgwAD58yeffFI+2j/b+rcVB1idkBh5i/nDIh0MBtG9e3dUVVXJ91ZXVztG6uJkJX4mApea54033ihv3Z46dQo//PCDYx8OffSvp7t3747bbrtN3iLfvXs3IpGI4z3qvGe9HkDLY2HvueeelPWwLAuBQCBlPYLBIK655hqMHDkSQMuc8p07d6Y9br1tiouLUV5eLuc6Hzp0CH/++aejrYiIujr1vKueywOBgC8xaciQIXKR+5kzZ3Do0KGU7xc/02NSZWWlvIjbs2cPmpubXbE0XUwqKSmR37J71UNcUKeLSVdffTXKy8sBtD0mjRw5EldddRUA4Pvvv8fZs2czxqJ4PO5Yy6WX06NHD0cfffbZZ666qGkxTVNNl5aWOh4G8cknn7iOK117BYNBDB06VF4s//bbbzh8+LDjGNQyU9VDrB8CWtb2iIdOiLL0z5bez8XFxWmvPbw+r3rb9O/fX+6xVl9fj71797b5esEwDCxduhQnT55EUVERLMvC8uXL5bUNACxatAhFRUUYP348ampq0Lt3b1c+BQUFGDNmDC5evIh169Y51h+leu3TTz/FCy+8gOeeew6JRALXX389tm/fjr59+2L9+vWYPHkyevfujalTp6Y8/rvuugsnT56Un6+qqiqsX79e3sGqrq6W0wMBoE+fPnj33Xcxffp0GIaBPn364L333nPlO3XqVJSUlODBBx8E0PII/t27d6c8jlR1nDhxIpYtWyYf5NYafIpgJzN+/HhbDFzC4bBrvvu1117rWOg3duxY9OrVS6br6urQu3dv+cfe1NSEwsJCeUJqaGjAwoUL5Yf2iy++wOrVqx3z3RsaGhx/wHV1dXIQImzatEkGgaeeegonT56UJ/impibXfPdEIuH4hqKgoAAfffSRTI8bNw49e/aU6cbGRnTr1k2uwWpsbHTMrQ6Hw5gyZYp87OfZs2cxffp0x7c7+nHrbWPbNlatWoWhQ4cCAFauXIldu3bJtohGo9i1axeffNbxsY+uDOynjs/VR5li0tVXX42NGzfK9+vn8mxi0vz58/HQQw8BaLloXrlyZbti0tNPP40//vjD95hUXFws1xTpMam5uRmTJ0/G/PnzAbQ8fnvatGlpY9KlS5fQs2dPxxN5V65ciWHDhgEAVq1ahS+//DJjTJo8ebLj78irfbZv3y7/fd9998k9zET7qOuMQqGQa53RDTfcgDfeeEPmoV97XLx4Uba/V3uFQiEsXrxY3unYunUr3nzzTcdnKRQKua5n1HrYto3NmzfLJ9nNmjUL58+fl58lvU/EGqxu3brJPIqKivDhhx/KtN7PDQ0N6N69e9q2mT59OubMmQOg5QEMzzzzjOOztH379st6rku3D9S/tUdUtsrKyrBnz552P3DiX8KnCBIRERER0ZVDPGb9SsQBViejzum2bRumaTrmdBuGgcbGRvl+db6xmhbfForfV/Nobm6WeYhveNTX1TK9ygD++UYQcM9vF/9Ol6dpmmnr4XXcatq2bUSjUZlHKBRK2Rap2sayLITDYZlHLBZzlUlE1JXp591MMSlV/EgXkyKRiMwjEomkLVM/JqGxsdG1/1G6+NGWmKTGZ7E3lFqGGpOampoyHreep2VZCIVCMo94PJ5VTNJ/nqp91NfVKfj6cXj1czKZzOraQ0+nu/bQy8iUp23baGxslOuh9GsPvU+8+jnTNZR4f6rPq23biMViMo9wOOzZ3pdTuplsnOXWdpwi2MlUVlba+oMd1H01ksmkvP0NtJyk9M390m3qKDZHVB9rqs5Nt23btV+UPr9bPFZXTGuIxWKOMrw2XNT3+4jH4456xGIx114V6iaFqTZ1FHlaluU6Tq/j1tsmNzdX5hmPxx3HbZomDhw4wGlNHR/76MrAfur4XH3EmPRPGR01Jo0ePdoWv5OqHH3j4Ux1aW0/e5XpVUaqfk7VJ3qe6j5YmfrZa4PkTP2sb2acqZ9N03R9Pr/++mue664MnCLYlXTr1g3p5ruHw2GUlpbK9xuG4Zqz3KtXr7Tz3dU9R/Q5ymK+u1eeQn19PXr06CFPamIjydbMd6+rq3PUI5lMOsrIZg2W3jaBQMA197+9bUNE1JUxJrXIZg2Wvg9Wppikr8HS20bclcsUk/r06eNIe8U+tW62bWdcZ6SvdfeBKgAAB+lJREFUwYrFYo71ZHo/X7x4sdXtpe+D5bUGS2+vHj16yPYKBAKu9sq0BktvC70e2azBytQ21DlwHywiIiIiIiKfcIBFRERERETkE04R7GTC4bDclNE0Tcft8JycHCQSCdTV1cn3G4bhSl+6dEmmc3NzHfOJ8/PzEQ6H5VQDsbg1FosB+GdRqJpnUVGR/H3xnvr6ejnlwzAMuQGlyDMWi8l6WJaF4uJiRx6WZTnK0Ms0DEPOfRbvLykpcdSjoaHBUYZXHmq6sLBQ3vYXv9PY2CjzFGWqbUNE1JWli0m5ubmtjkk5OTmOtTlXckzq1q2bTOfl5bU5JqkPXtJjUjwezxiTLly44KhLQUGBq33UcpPJpJzCKNLxeFxulmuaJkpLS111Uzc61uui1zUvL8/Rzzk5OQiFQo7PknhYlThGPU+vfr506VLKfhZptQ/UPvI6Tr1MvW0AOPLIz89HY2Ojowyxfow6Fw6wOpmSkhLHfPf7778fzz77LADg9OnTePzxx9u119OKFStQW1ubcb67uudIIBDAtm3bZPree+91LCxtamrKON992LBheP3112UeXntoqPXQ12BFIhEsWLAA48ePBwBs3rwZGzZscK0F0Oe763tobNmyRc6lfuyxx3Dp0iWuwSIiSkGPSZMmTZL7D2az11Nb9h+8HDHppptuwpo1a2Qe2cQkdU1Rc3MzFixYIDcn3rJlCzZs2CDjS2tikjiuGTNm4OLFi+1eg+XHXk+PPPKI3OvpyJEjmDdvnmMvJb0uensBwJo1a+QG0i+//DK+/fbbVq3BysnJQXV1tUxXVVWhsLAw7Zo1fQ3W6NGjsXz5cpmH196h6nHrbZNIJPDSSy9h7NixAIANGzZg8+bNXIPVBXCKIBERERERkU84wCIiIiIiIvIJ98HqZCorK2113ngwGJS30E3TRHNzs5yiALTMF06XNgwDhYWFjmkNtm3L299iEz3xupgHreZhmqZjakBTUxNyc3Md87eDwaDM0zAMAJDT+8QcZfWRuOpGxV7Hre+hYRgG8vPz5ZSPWCyGZDIpy/A6bq+2KCkpkccdCoUQDAYdZajHbZomvvnmG+5n0fGxj64M7KeOz3MfLDUmBQIBOX3Pj5gUiURgmqbjvNsRY1IymUROTo4jXuTl5clpdf9lTBo9erStri82DCNt3fT9t7zaKycnxzF9LxKJtLqfi4qK5LG35dojUz28+kRtL8uyYNu267Oit4W+35naNvq1RzQahWEYjjJM03TkuW/fPp7rrgzcB6srKS4ulidssa+G+MM2DAPJZNKxh4PYR0NNl5aWOvYcKSgokH/8YlO9VPtEiEW2ep7qJnp5eXmu+dvqfHd9r5REIuHaiC83N9dVhprW12CJOeJqW6j1MAwDzc3NGdtG3aRQbDiYap8OrsEioq6uvTGpvr4+Y0wqLCyU591YLAbTNGVMsm0bDQ0NrYpJoVDIES/C4TByc3NlPRKJhGsT20wxqampCcXFxb7GpPr6+rQxSV87Jh78oVPXuHm1T05OTsY1WF4xXKTFflPqYMcrvurtVVBQ4Ng0WV3nJR4SoX6BHAqF0vZzbm6u4yEroVAIBQUFcoDk1V6maaZtC69rj5KSkpSfJbEZsnp9E4/HHW1DnQMHWJ1MIBBwbKKnfpsVDAYdr+vvV9PiZKv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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Both CAIPI shift signs are considered below\n", "Dz = np.abs(Dz)\n", "\n", "# Prepare tabular plot \n", "fig = plt.figure(figsize = (5*SR,(2*n1+1)))\n", "gs = gridspec.GridSpec(nrows=2*n1+1, ncols=8, wspace=0.05, hspace=0.0)\n", "ax = []\n", "\n", "# Header\n", "ax += [fig.add_subplot(gs[0:1,0:1])]\n", "ax[-1].text(0,1,'CAIPI pattern\\n'+r'${%d\\times %d}_{\\pm z%d,\\pm z(%d\\pm%d),\\dots}$' % (Ry, Rz, Dz, Dz,Rz),ha='left', va='top', fontweight='bold')\n", "ax += [fig.add_subplot(gs[0:1,1:3])]\n", "ax[-1].text(0.5,1,'Trajectory',ha='center', va='top', fontweight='bold')\n", "ax += [fig.add_subplot(gs[0:1,3:4])]\n", "ax[-1].text(0.5,1,r'$z$-blips'+'\\n(Eq. A1)',ha='center', va='top', fontweight='bold')\n", "ax += [fig.add_subplot(gs[0:1,4:5])]\n", "ax[-1].text(0.5,1,r'$z$-blip cycle'+'\\n(Eq. A2)',ha='center', va='top', fontweight='bold')\n", "ax += [fig.add_subplot(gs[0:1,5:])]\n", "ax[-1].text(0.5,1,r'Trajectories with identical $z$-blips/cycle'+'\\n(Eq. A3)',ha='center', va='top', fontweight='bold')\n", "\n", "def adjust_plots(ax):\n", " ax[0].set_xlim([0,SR*Ry*Rz])\n", " ax[1].set_xlim([0,SR*Ry*Rz])\n", " pos = ax[0].get_position()\n", " ax[0].set_position([pos.x0, pos.y0+pos.height/5, pos.width, pos.height])\n", " ax[1].set_position([pos.x0, pos.y0-(pos.height*4/5)*1.1, pos.width, pos.height])\n", "\n", "# LOOP OVER SEGMENTATION FACTORS\n", "currow = 1\n", "for s in range(1,n1+1):\n", " #Eq. (A1) and (A2)\n", " bS = get_zblips(Ry, Rz, Dz, s)\n", " bmin = np.min(bS)\n", " ns = get_zblipcycle(Rz, bmin)\n", "\n", " title = r'$S=%d$'%(s)\n", " if Dz==0:\n", " trajectory_color=[0,0,1]\n", " trajectory_type = 'w/o CAIPI'\n", " fontcolor='b'\n", " elif s==1:\n", " trajectory_color=[1,0,0]\n", " trajectory_type = 'Blipped'\n", " fontcolor='r'\n", " elif s==n1:\n", " trajectory_color=[0.8,0.8,0]\n", " trajectory_type = 'Shot-s.'\n", " title = r'$S=n_1=%d$'%(s)\n", " else:\n", " trajectory_color=[1.0, 0.5, 0]\n", " trajectory_type = 'Skipped'\n", " \n", " if bmin==0:\n", " nslabel = r'$n_{%s}=%d$'% (s,ns)\n", " elif np.mod(Rz,bmin)==0:\n", " nslabel = r'$n_{%s}=%d/%d=%d$'% (s,Rz,bmin,ns)\n", " else:\n", " nslabel = r'$n_{%s}=%d$'% (s,Rz)\n", " \n", " fontcolor='k'\n", " \n", " # Plot trajectories for segmentation factor, S, with positive and negative CAIPI shift (identical z-blip magnitudes):\n", " ax += [fig.add_subplot(gs[currow:currow+1,1:2])]\n", " ax += [fig.add_subplot(gs[currow+1:currow+2,1:2])]\n", " plot_skipped_caipi(Ry, Rz, Dz, s, ax=ax[-2], color=trajectory_color, repetitions=SR*2, bAllShots=False)\n", " plot_skipped_caipi(Ry, Rz, -Dz, s, ax=ax[-1], color=trajectory_color, repetitions=SR*2, bAllShots=False)\n", " adjust_plots(ax[-2:]) \n", " ax[-2].set_title(title, fontsize=FS, pad=0, color=fontcolor)\n", " if s==1:\n", " ax[-2].set_ylabel(r'$z\\ \\ y$' + '\\n' + r'$\\leftarrow \\downarrow$')\n", " if Dz==0:\n", " trajectory_color=[0, 0, 1.0]\n", " else:\n", " trajectory_color=[1.0, 0.5, 0]\n", "\n", " # Print trajectory type\n", " ax += [fig.add_subplot(gs[currow:currow+2,2:3])]\n", " ax[-1].text(0.5,1,trajectory_type, ha='center', va='top', color=fontcolor)\n", "\n", " # Print z-blips and z-blip cycle\n", " ax += [fig.add_subplot(gs[currow:currow+2,3:4])]\n", " text = r'$b_{%d}^{(1)}={%d}$' % (s,bS[0]) + '\\n' + r'$b_{%d}^{(2)}={%d}$' % (s,bS[1])\n", " ax[-1].text(0.5,1,text, ha='center', va='top', fontsize=FS, color=fontcolor)\n", " ax += [fig.add_subplot(gs[currow:currow+2,4:5])]\n", " ax[-1].text(0.5,1, nslabel, color=fontcolor, ha='center', va='top', fontsize=FS)\n", "\n", " # Plot trajectories for segmentation factor, S' = S + n1, leading to identical z-blips:\n", " ax += [fig.add_subplot(gs[currow:currow+1,5:6])]\n", " ax += [fig.add_subplot(gs[currow+1:currow+2,5:6])]\n", " plot_skipped_caipi(Ry, Rz, Dz, s+n1, ax=ax[-2], color=trajectory_color, repetitions=SR*2, bAllShots=False)\n", " plot_skipped_caipi(Ry, Rz, -Dz, s+n1, ax=ax[-1], color=trajectory_color, repetitions=SR*2, bAllShots=False)\n", " adjust_plots(ax[-2:]) \n", " \n", " # Plot trajectories for segmentation factor, S' = S + 2*n1, leading to identical z-blips\n", " ax += [fig.add_subplot(gs[currow:currow+1,6:7])]\n", " ax += [fig.add_subplot(gs[currow+1:currow+2,6:7])]\n", " plot_skipped_caipi(Ry, Rz, Dz, s+2*n1, ax=ax[-2], color=trajectory_color, repetitions=SR*2, bAllShots=False)\n", " plot_skipped_caipi(Ry, Rz, -Dz, s+2*n1, ax=ax[-1], color=trajectory_color, repetitions=SR*2, bAllShots=False)\n", " adjust_plots(ax[-2:])\n", "\n", " # Print corresponding z-blips, z-blip cycles and Skipped-CAIPI type (with or without z-blips)\n", " if Dz==0:\n", " ax[-4].set_title(r'$S^\\prime=2n_1=%d$'%(s+n1), fontsize=FS, pad=0)\n", " ax[-2].set_title(r'$S^\\prime=3n_1=%d$'%(s+2*n1), fontsize=FS, pad=0)\n", " scheme_type = r'w/o CAIPI'\n", " elif s==n1:\n", " ax[-4].set_title(r'$S^\\prime=2n_1=%d$'%(s+n1), fontsize=FS, pad=0)\n", " ax[-2].set_title(r'$S^\\prime=3n_1=%d$'%(s+2*n1), fontsize=FS, pad=0)\n", " scheme_type = r'Skipped w/o $z$-b.'\n", " else:\n", " ax[-4].set_title(r'$S^\\prime=S+n_1=%d$'%(s+n1), fontsize=FS, pad=0)\n", " ax[-2].set_title(r'$S^\\prime=S+2n_1=%d$'%(s+2*n1), fontsize=FS, pad=0)\n", " scheme_type = 'Skipped'\n", " ax += [fig.add_subplot(gs[currow:currow+2,7:])]\n", " ax[-1].text(0.5,1.0, r'$S^\\prime=%d,%d\\dots$'%(s+3*n1,s+4*n1), ha='center', va='center', fontsize=FS)\n", " ax[-1].text(0.5,0.9, r'$b_{%d,%d,%d,%d\\dots}^{(1,2)}=b_{%d}^{(1,2)}$'%(s+n1,s+2*n1,s+3*n1,s+4*n1,s) + '\\n'\n", " + r'$n_{%d,%d,%d,%d\\dots}=n_{%d}$'%(s+n1,s+2*n1,s+3*n1,s+4*n1,s) + '\\n'\n", " + scheme_type, ha='center', va='top', fontsize=FS)\n", "\n", " # Go to next row of the table for the next S -> S+1\n", " currow+=2\n", "\n", "for a in ax:\n", " a.set_xticks([])\n", " a.set_yticks([])\n", " for spine in a.spines.values():\n", " spine.set_color('none')\n", " \n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Recap Appendix\n", "\n", "## $Z$-blips (Eq. A1):\n", "\n", "$b_{S}^{(1)} = (S\\cdot \\Delta z) \\text{ mod } R_z\\\\\n", "b_{S}^{(2)} = (R_z - b_{S}^{(1)}) \\text{ mod } R_z\\\\\n", "b_{S,min} =\\min\\left(b_{S}^{(1)}, b_{S}^{(2)}\\right)$\n", "\n", "\n", "## $Z$-blip cycle (Eq. A2):\n", "$\n", "n_S = \\begin{cases}\n", "1 &, \\text{if } b_{S,min}=b_{S}^{(1)}=b_{S}^{(2)}=0\\\\\n", "R_z/b_{S,min}&, \\text{if } R_z \\text{ mod } b_{S,min} = 0\\\\\n", "R_z&, \\text{else}\n", "\\end{cases}\n", "$\n", "\n", "## Segmentation factors leading to identical z-blips/cycle (Eq. A3):\n", "$S^\\prime=S+m\\cdot n_1$\n", "\n", "where $m\\in \\mathbb{Z}$." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }