{ "cells": [ { "cell_type": "markdown", "id": "6e317515-45e2-45bf-9471-9e9ab8cf3a63", "metadata": {}, "source": [ "# Thrust Vectoring Analysis\n", "\n", "Based on a NASA report - [Optimal Pitch Thrust-Vector Angle and Benefits for all Flight Regimes](https://ntrs.nasa.gov/api/citations/20000034897/downloads/20000034897.pdf)\n", "\n", "Use JSBSim to compare how varying the thrust vector angle can minimize fuel\n", "burn for a given flight condition and compare the results to the NASA report.\n", "\n", "Tests performed for a cruise condition and for a climb condition." ] }, { "cell_type": "code", "execution_count": 1, "id": "colab-install", "metadata": {}, "outputs": [], "source": [ "import sys\n", "\n", "if 'google.colab' in sys.modules:\n", " print('Running on Google Colab – installing jsbsim …')\n", " !pip install jsbsim\n", "\n", "PATH_TO_JSBSIM_FILES = None" ] }, { "cell_type": "markdown", "id": "12b079a8", "metadata": {}, "source": [ "## Initialize FDM" ] }, { "cell_type": "code", "execution_count": 2, "id": "f2724ff5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", " JSBSim Flight Dynamics Model v1.3.0 Apr 9 2026 10:00:08\n", " [JSBSim-ML v2.0]\n", "\n", "JSBSim startup beginning ...\n", "\n", "FDM created successfully\n" ] } ], "source": [ "import jsbsim\n", "\n", "# --- JSBSim Initialization ---\n", "# These lines initialize the flight dynamics model.\n", "\n", "# Create a flight dynamics model (FDM) instance.\n", "fdm = jsbsim.FGFDMExec(PATH_TO_JSBSIM_FILES)\n", "\n", "fdm.set_debug_level(0) # Suppress verbose JSBSim console output\n", "\n", "if fdm is not None:\n", " print(\"FDM created successfully\")\n", " fdm.set_debug_level(0) # Suppress verbose JSBSim console output\n", "else:\n", " print(\"Failed to create FDM\")" ] }, { "cell_type": "markdown", "id": "a29cf3e6", "metadata": {}, "source": [ "## Tweak aircraft XML file: remove `` nodes from the officially released files" ] }, { "cell_type": "code", "execution_count": 3, "id": "5e0a84c2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aircraft original XML file: /home/vscode/.local/lib/python3.11/site-packages/jsbsim/aircraft/737/737.xml\n", "Parsing XML ...\n", "Saving backup XML file: /home/vscode/.local/lib/python3.11/site-packages/jsbsim/aircraft/737/737_backup.xml\n", "Saving modified XML: /home/vscode/.local/lib/python3.11/site-packages/jsbsim/aircraft/737/737.xml\n", "All occurrences successfully removed.\n" ] } ], "source": [ "import os\n", "import xml.etree.ElementTree as ET\n", "\n", "AIRCRAFT_NAME=\"737\"\n", "\n", "ac_xml_file_path = os.path.join(fdm.get_root_dir(), f'aircraft/{AIRCRAFT_NAME}/{AIRCRAFT_NAME}.xml')\n", "print(f\"Aircraft original XML file: {ac_xml_file_path}\")\n", "\n", "print(\"Parsing XML ...\")\n", "ac_xml_tree = ET.parse(ac_xml_file_path)\n", "ac_xml_root = ac_xml_tree.getroot()\n", "\n", "# Save a copy of the original XML file for backup\n", "backup_xml_file_path = ac_xml_file_path.replace('.xml', '_backup.xml')\n", "print(f\"Saving backup XML file: {backup_xml_file_path}\")\n", "ac_xml_tree.write(backup_xml_file_path)\n", "\n", "# Traverse the XML tree and remove occurrences with a 'port' attribute\n", "for x in ac_xml_root.findall('input'):\n", " has_port = x.get('port') is not None\n", " if has_port:\n", " print(f\"\\tRemoving with port: {x.get('port')}\")\n", " ac_xml_root.remove(x)\n", "\n", "print(f\"Saving modified XML: {ac_xml_file_path}\")\n", "ac_xml_tree.write(ac_xml_file_path)\n", "\n", "#check that the input occurrences are removed\n", "ac_xml_tree2 = ET.parse(ac_xml_file_path)\n", "ac_xml_root2 = ac_xml_tree2.getroot()\n", "inputs = ac_xml_root2.findall('input')\n", "if not inputs:\n", " print(\"All occurrences successfully removed.\")\n", "else:\n", " print(f\"Warning: Found {len(inputs)} occurrences remaining.\") " ] }, { "cell_type": "code", "execution_count": 4, "id": "cc91673d-7b7c-47c1-bb3f-b08c8ae91012", "metadata": {}, "outputs": [ { "data": { "image/png": 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PmEwmihQpwqJFix66lsZdX3zxBeHh4TRu3JiCBQty/vx5Ro8eTf78+S0dGe3bt2f27Nn06NGDNWvWUL16dZKSkti3bx+zZ89m2bJl97116JMIDg4mf/78VK5cmTx58nD8+HEmT57M6dOnmTVrVoqxX331FdWqVaN27dp069aNkydPMnToUBo1akRQUFCKsSaTidq1a6e4c82QIUNo1qwZjRo1ok2bNuzZs4eRI0fSpUsXSpYsaRnXsmVLqlSpQseOHYmKiiJ37tyMHj2apKQkBg4cmOJ1Ujvng5QvX56VK1cybNgwvLy8KFy4MJUrV07151e7dm1q16790DHVqlUjR44cdOjQgbfeeguTycQvv/xyTwHDysqKMWPG0LRpU8qWLUvHjh3x9PRk3759REZGWu6W87Q++eQTfv/9d+rWrcvbb79NbGwsQ4YMoXTp0nTs2NEy7tSpU5QsWZIOHTowZcoUAJo2bYqfnx9ffPEFx44do0qVKhw6dIiRI0fi6elJ586d0ySjiIjIM2MWERHJpA4cOGDu2rWruVChQmY7Ozuzi4uLuXr16uaffvrJfOvWLcs4wNyrV6/7znHhwgXzK6+8YnZycjLnyJHD3L17d/OePXvMgHny5MmWcf379zf/+5/VVatWmZs3b2728vIy29nZmb28vMxt27Y1HzhwIMX8CQkJ5sGDB5v9/PzM9vb25hw5cpjLly9vHjhwoPnatWtp9lmMHDnSXKNGDXPu3LnNNjY2Znd3d3PTpk3N4eHh9x2/bt06c7Vq1cwODg5md3d3c69evcwxMTEpxly/ft0MmNu0aXPP8fPnzzeXLVvWbG9vb86fP7/5s88+MyckJNwz7vLly+bOnTubc+XKZXZycjLXrl3bvGXLlvtmSs2ckydPNgP3zLFv3z5zrVq1zI6OjmbA3KFDhwd+VtHR0WbAPGTIkAeOMZvN5g4dOpizZcuWYt/ff/9trlKlitnR0dHs5eVl/vDDD83Lli0zA+Y1a9akGLt+/Xpzw4YNzS4uLuZs2bKZ/f39zT/99NND5zeb7/1ae5g9e/aYGzVqZHZycjK7ubmZX3vtNfPZs2fv+37/+5lcvnzZ/O6775qLFStmtre3N+fOndvcpk0b85EjR1L12iIiIkYymc1p2C8pIiIiWcZff/1FkyZN2LlzJ6VLlzY6joiIiIiF1uwQERGRJ7JmzRratGmjQoeIiIikO+rsEBEREREREZFMRZ0dIiIiIiIiIpKpqNghIiIiIiIiIpmKih0iIiIiIiIikqmo2CEiIiIiIiIimYqN0QEyi8TERHbs2EHevHmxslINSURERERERJ6t5ORkzp07R0BAADY2Or3/N30aaWTHjh1UqlTJ6BgiIiIiIiKSxWzevJmKFSsaHSNdUbEjjeTNmxe480Xm6elpcBoRERERERHJ7M6cOUOlSpUs56Py/1TsSCN3L13x9PQkf/78BqcRERERERGRrEJLKdxLn4iIiIiIiIiIZCoqdoiIiIiIiIhIpqJih4iIiIiIiIhkKlqzQ0RE0jWz2UxiYiJJSUlGRxGRp2RtbY2NjQ0mk8noKCIikskZWuwIDw9nyJAhbNu2jTNnzjB//nxatGhheT4kJISpU6emOCYwMJClS5daHn/11VcsXryYiIgI7OzsuHr16j2vs2rVKj7//HN2795NtmzZ6NChA1999VWK+xDv2rWLXr16sWXLFtzd3enduzcffvhhmr9nERFJvYSEBM6cOcONGzeMjiIiacTJyQlPT0/s7OyMjiIiIpmYocWOuLg4ypQpQ6dOnXj55ZfvOyYoKIjJkydbHtvb26d4PiEhgVatWlG1alUmTpx4z/E7d+7kxRdf5NNPP2XatGmcOnWKHj16kJSUxPfffw9ATEwMjRo1okGDBowdO5bdu3fTqVMn3Nzc6NatWxq+YxERSa3k5GSio6OxtrbGy8sLOzs7/TZYJAMzm80kJCRw4cIFoqOjeeGFF3T3ABEReWYMLXYEBwcTHBz80DH29vZ4eHg88PmBAwcCMGXKlPs+P2vWLPz9/enXrx8ARYsW5bvvvqN169b0798fFxcXpk+fTkJCApMmTcLOzg4/Pz8iIiIYNmyYih0iIgZJSEggOTkZb29vnJycjI4jImnA0dERW1tbjh07RkJCAg4ODkZHEhGRTCrdl9PDwsLIkycPxYsXp2fPnly6dOmxjo+Pj7/nH1JHR0du3brFtm3bANi4cSO1atVK0U4ZGBjI/v37uXLlygPnjYmJsWzXr19/zHcmIiKpod/8imQu+p4WEZHnIV3/axMUFMS0adNYtWoVgwcPZu3atQQHBz/WInWBgYFs2LCBmTNnkpSUxKlTp/jiiy8AOHPmDABnz54lb968KY67+/js2bP3nfebb74he/bsls3X1/dJ3qKIiIiIiIiIpLF0Xexo06YNzZo1o3Tp0rRo0YJFixaxZcsWwsLCUj1Ho0aNGDJkCD169MDe3p5ixYrx4osvAk/3m4W+ffty7do1yxYVFfXEc4mIiIiIiIhI2knXxY7/8vHxIXfu3Bw6dOixjuvTpw9Xr17l+PHjXLx4kebNm1vmA/Dw8ODcuXMpjrn7+EHrhdjb2+Pq6mrZXFxcHvftiIhIFhQWFobJZLrv3cNEREREJG1kqGLHyZMnuXTpEp6eno99rMlkwsvLC0dHR2bOnIm3tzflypUDoGrVqoSHh3P79m3L+BUrVlC8eHFy5MiRZvlFRCRzM5lMD90GDBhgaL5ChQoxfPhwQzOIiIiIPA+G3o0lNjY2RZdGdHQ0ERER5MyZk5w5czJw4EBeeeUVPDw8OHz4MB9++CFFixYlMDDQcszx48e5fPkyx48fJykpiYiICODOXVecnZ0BGDJkCEFBQVhZWTFv3jy+/fZbZs+ejbW1NQDt2rVj4MCBdO7cmY8++og9e/YwYsQIfvjhh+f3YYiISIZ3dy0ouHM3sH79+rF//37LPmdnZ7Zu3frY8yYkJKRYRFtEREREHs7Qzo6tW7cSEBBAQEAAcOdyk4CAAPr164e1tTW7du2iWbNmFCtWjM6dO1O+fHnWrVuHvb29ZY5+/foREBBA//79iY2Ntcz37x8mlyxZQs2aNalQoQKLFy/mjz/+oEWLFpbns2fPzvLly4mOjqZ8+fK899579OvXT7edFRFJR8xmMzcSEg3ZzGZzqjJ6eHhYtuzZs2MymVLsu1uEB9i2bRsVKlTAycmJatWqpSiKDBgwgLJlyzJhwgQKFy5suavY/TozypYta+kYMZvNDBgwgAIFCmBvb4+XlxdvvfUWAHXq1OHYsWO8++67lk4TERERkczK0M6OOnXqPPQHyGXLlj1yjilTpjBlypSHjlm9evUj5/H392fdunWPHCciIsa4eTsJ336P/nfhWYj6IhAnu7T9J/PTTz9l6NChuLu706NHDzp16sTff/9tef7QoUPMnTuXefPmWToRH2Xu3Ln88MMP/Pbbb/j5+XH27Fl27twJwLx58yhTpgzdunWja9euafpeRERERNIbQ4sdIiIiWdVXX31F7dq1Afj4449p3Lgxt27dsnRxJCQkMG3aNNzd3VM95/Hjx/Hw8KBBgwbY2tpSoEABKlWqBEDOnDmxtrbGxcXlgYtvi4iIiGQWKnaIiEiG4GhrTdQXgY8e+IxeO635+/tb/nx34e3z589ToEABAAoWLPhYhQ6AVq1aMXz4cHx8fAgKCuLFF1+kadOm2Njon3sRERHJWvTTj4iIZAgmkynNLyUxkq2treXPd9fPSE5OtuzLli3bPcdYWVndc/nnv+8k5u3tzf79+1m5ciUrVqwgNDSUIUOGsHbt2hSvJyIiIpLZZahbz4qIiGRl7u7uKe74EhMTQ3R0dIoxjo6ONG3alB9//JGwsDA2btzI7t27AbCzsyMpKem5ZhYRERExQub5FZmIiEgmV69ePaZMmULTpk1xc3Oz3L3srilTppCUlETlypVxcnLi119/xdHRkYIFCwJ37uYSHh5OmzZtsLe3J3fu3Ea9FREREZFnSp0dIiIiGUTfvn2pXbs2TZo0oXHjxrRo0YIiRYpYnndzc2P8+PFUr14df39/Vq5cyZ9//kmuXLkA+OKLLzh69ChFihR57PVARERERDISk/lh936VVDt58iTe3t6cOHGC/PnzGx1HRCTDu3XrFtHR0RQuXNhyhxIRyfj0vS0iknZ0Hvpg6uwQERERERERkUxFxY4sJtmczKC1g7h045LRUURERERERNKlpXvOsOHwxXvugiYZh4odWczIzSPpF9YP39G+zNs7z+g4IiIiIiIi6UpCYjL9F0bSbvwmlkWeNTqOPCEVO7KYKvmr4Ovuy/m487wy+xXazGnDhbgLRscSERERERFJFxbvPs25mHjyuNhTr0Reo+PIE1KxI4uplK8S27pto2+NvlibrJkVOQu/0X7MiZpjdDQRERERERFDmc1mJqyLBqBDtULY2eiUOaPS31wW5GDjwNf1v+afLv9QKk8pLty4QKvfW9H699acjztvdDwRERERERFD/HPkMpGnY3CwtaJdpQJGx5GnoGJHFlbBqwJbu27ls5qfYW2y5veo3/Eb7cfsyNlaiEdERERERLKcCeuOANCyfH5yZLMzOI08DRU7sjh7G3sG1RvE5q6b8c/rz8UbF3l1zqu0+r0V52LPGR1PRERERETkuTh8IZZV+85jMkGn6oWNjiNPScUOAaCcZzm2dN1C/9r9sbGyYe7eufiN9uO3Pb+py0NERERERDK9SevvrNVRv0RefNydDU4jT0vFDrGws7ZjQJ0BbOm6hTJ5y3Dp5iXazm3LK7Nf4WysbrkkIvIs1KlTh3feeSfV448ePYrJZCIiIuKZZXreQkJCaNGihdExBChUqBDDhw83OoaIyHN3OS6BOdtOAtClpro6MgMVO+QeZT3KsqXrFgbWGYiNlQ3z983Hb7Qf03dNV5eHiMgjhISEYDKZ6NGjxz3P9erVC5PJREhIiGXfvHnzGDRoUKrn9/b25syZM5QqVSot4j5TU6ZMwWQyPXQ7evSoYfnCwsIwmUxcvXr1qed63KIVQI8ePTCZTKkqLowaNYpChQrh4OBA5cqV2bx5833Hmc1mgoODMZlMLFiw4LHyiIhkZdP/OUZ8YjKl82WncuGcRseRNKBih9yXrbUt/Wr3Y2vXrQR4BHD55mVen/86LWa14Mz1M0bHExFJvaQkCAuDmTPv/Dcp6Zm/pLe3N7/99hs3b9607Lt16xYzZsygQIGUK7vnzJkTFxeXVM9tbW2Nh4cHNjY2aZb3WXn11Vc5c+aMZatatSpdu3ZNsc/b2/uJ5k5ISEjjtM/X/Pnz+eeff/Dy8nrk2FmzZtGnTx/69+/P9u3bKVOmDIGBgZw/f+8d1IYPH47JZHoWkUVEMq34xCSmbjwG3Onq0P9HMwcVO+ShyniUYVOXTQyqOwhbK1sW7l+I72hfftn5i7o8RCT9mzcPChWCunWhXbs7/y1U6M7+Z6hcuXJ4e3sz71+vM2/ePAoUKEBAQECKsf/tCChUqBBff/01nTp1wsXFhQIFCjBu3DjL8/+9jOVud8KyZcsICAjA0dGRevXqcf78eZYsWULJkiVxdXWlXbt23LhxI8Xr/LejoGzZsgwYMMDy2GQy8fPPP9OkSROcnJwoWbIkGzdu5NChQ9SpU4ds2bJRrVo1Dh8+fN/PwdHREQ8PD8tmZ2eHk5NTin3W1taW8d9//z2enp7kypWLXr16cfv27RR5Bw0axBtvvIGrqyvdunW7b2dGREREio6RY8eO0bRpU3LkyEG2bNnw8/Pjr7/+4ujRo9StWxeAHDly3NNx82+XLl2ibdu25MuXDycnJ0qXLs3MmTMtz4eEhLB27VpGjBiRqo6VU6dO0bt3b6ZPn46tre0Dx901bNgwunbtSseOHfH19WXs2LE4OTkxadKkFOMiIiIYOnToPfsf5Pz58zRt2hRHR0cKFy7M9OnT7xlz9epVunTpgru7O66urtSrV4+dO3emGPPll1+SJ08eXFxc6NKlCx9//DFly5ZNVQYRkfTgj4jTXIyNxzO7Ay+W9jQ6jqQRFTvkkWytbfms1mds67aNcp7luHrrKm8seIOmM5tyKuaU0fFERO5v3jxo2RJOnky5/9SpO/ufccGjU6dOTJ482fJ40qRJdOzYMVXHDh06lAoVKrBjxw5CQ0Pp2bMn+/fvf+gxAwYMYOTIkWzYsIETJ07QunVrhg8fzowZM1i8eDHLly/np59+euz3cbfAEBERQYkSJWjXrh3du3enb9++bN26FbPZzJtvvvnY8/7XmjVrOHz4MGvWrGHq1KlMmTKFKVOmpBjz/fffU6ZMGXbs2MHnn3+eqnl79epFfHw84eHh7N69m8GDB+Ps7Iy3tzdz584FYP/+/Zw5c4YRI0bcd45bt25Rvnx5Fi9ezJ49e+jWrRvt27e3XEoyYsSIe7pWHtSxkpycTPv27fnggw/w8/N7ZP6EhAS2bdtGgwYNLPusrKxo0KABGzdutOy7ceMG7dq1Y9SoUXh4eKTqswkJCeHEiROsWbOGOXPmMHr06Hu6RVq1amUpnG3bto1y5cpRv359Ll++DMD06dP56quvGDx4MNu2baNAgQKMGTMmVa8vIpIemM1mJq67szBpSLVC2FrrFDmz0N+kpFrpvKX5p/M/fFXvK+ys7Vh8cDF+o/2YEjFFXR4ikr4kJcHbb8P9/t90d9877zzTS1pef/111q9fz7Fjxzh27Bh///03r7/+eqqOffHFFwkNDaVo0aJ89NFH5M6dmzVr1jz0mC+//JLq1asTEBBA586dWbt2LWPGjCEgIICaNWvSsmXLR85xPx07dqR169YUK1aMjz76iKNHj/Laa68RGBhIyZIlefvttwkLC3vsef8rR44cjBw5khIlStCkSRMaN27MqlWrUoypV68e7733HkWKFKFIkSKpmvf48eNUr16d0qVL4+PjQ5MmTahVqxbW1tbkzHnnmuw8efLg4eFB9uzZ7ztHvnz5eP/99ylbtiw+Pj707t2boKAgZs+eDUD27Nnv6Vr5d8fKvw0ePBgbGxveeuutVOW/ePEiSUlJ5M2bN8X+vHnzcvbs/y8e/u6771KtWjWaN2+eqnkPHDjAkiVLGD9+PFWqVKF8+fJMnDgxxaVX69evZ/Pmzfz+++9UqFCBF154ge+//x43NzfmzJkDwE8//UTnzp3p2LEjxYoVo1+/fpQuXTpVGURE0oP1hy6y/9x1nOysaVOpwKMPkAxDxQ55LLbWtnxS8xO2d9tORa+KXIu/Rsc/OtJ4RmNOxpx89AQiIs/DunX3dnT8m9kMJ07cGfeMuLu707hxY6ZMmcLkyZNp3LgxuXPnTtWx/v7+lj+bTCY8PDzuuz7Dg47JmzcvTk5O+Pj4pNj3qDlSMy+Q4mQ2b9683Lp1i5iYmMee+9/8/PxSFAg8PT3vyVuhQoXHnvett96yFIL69+/Prl27HnuOpKQkBg0aROnSpcmZMyfOzs4sW7aM48ePP9Y827ZtY8SIEZaFW9PKwoULWb169WPdRWXv3r3Y2NhQvnx5y74SJUrg5uZmebxz505iY2PJlSsXzs7Oli06Otpy6dL+/fupVKlSirn/+1hEJD0b/7+ujtYVvMnu+OhLCyXjULFDnohfHj82dN7At/W/xc7ajiWHluA32o9JOyapy0NEjHcmlQspp3bcE+rUqRNTpkxh6tSpdOrUKdXH/XcdB5PJRHJycqqPMZlMj5zDysrqnv9f/3uNjAfN+6B9j8r3KKl5z9myZUvx2Mrqzo8x/34f/30PXbp04ciRI7Rv357du3dToUKFx76cZ8iQIYwYMYKPPvqINWvWEBERQWBg4GMvkrpu3TrOnz9PgQIFsLGxwcbGhmPHjvHee+9RqFCh+x6TO3durK2tOXfuXIr9586ds1yusnr1ag4fPoybm5tlXoBXXnmFOnXqPFbGf4uNjcXT05OIiIgU2/79+/nggw+eeF4RkfRi/9nrhB+4gJUJOlXX7WYzGxU75InZWNnwUY2P2NF9B5XzVSYmPobOCzsTPD2YE9dOGB1PRLIyz1QuLpbacU8oKCiIhIQEbt++TWBg4DN9rcfl7u7OmX8Ve2JiYoiOjjYw0eNzd3cHSPE+7i7c+m/e3t706NGDefPm8d577zF+/HgA7OzsgDudGw/z999/07x5c15//XXKlCmDj48PBw4cSDHGzs7ukfO0b9+eXbt2pSgceHl58cEHH7Bs2bL7HmNnZ0f58uVTXNKTnJzMqlWrqFq1KgAff/zxPfMC/PDDDynWjfm3EiVKkJiYyLZt2yz79u/fn2Kx13LlynH27FlsbGwoWrRoiu1ul1Lx4sXZsmVLirn/+1hEJL2atP7Ov3uBfh4UyOVkcBpJayp2yFPzdffl705/M6ThEOyt7Vl2eBl+o/0Yv228ujxExBg1a0L+/PCgSwVMJvD2vjPuGbK2tmbv3r1ERUU9cA0Ho9SrV49ffvmFdevWsXv3bjp06JDuMj5K0aJF8fb2ZsCAARw8eJDFixczdOjQFGPeeecdli1bRnR0NNu3b2fNmjWULFkSgIIFC2IymVi0aBEXLlwgNjb2vq/zwgsvsGLFCjZs2MDevXvp3r37PZ0WhQoVYtOmTRw9epSLFy/et9MlV65clCpVKsVma2uLh4cHxYsXt4yrX78+I0eOtDzu06cP48ePZ+rUqezdu5eePXsSFxdnWfDWw8PjnnkBChQoQOHC9/9NZfHixQkKCqJ79+5s2rSJbdu20aVLFxwdHS1jGjRoQNWqVWnRogXLly/n6NGjbNiwgU8//ZStW7cC0Lt3byZOnMjUqVM5ePAgX375Jbt27dJtG0Uk3btwPZ75O+7cbKFLTXV1ZEYqdkiasLay5v1q7xPRI4Kq+atyPeE63RZ1I/DXQI5fe7xrmkVEnpq1Ndy9s8Z/T7ruPh4+/M64Z8zV1RVXV9dn/jqPq2/fvtSuXduyGGiLFi1SvehnemFra8vMmTPZt28f/v7+DB48mC+//DLFmKSkJHr16kXJkiUJCgqiWLFijB49Griz8OjAgQP5+OOPyZs37wPvKvPZZ59Rrlw5AgMDqVOnDh4eHrRo0SLFmPfffx9ra2t8fX1xd3d/7PU8/u3w4cNcvHjR8vjVV1/l+++/p1+/fpQtW5aIiAiWLl16z6Klj2vy5Ml4eXlRu3ZtXn75Zbp160aePHksz5tMJv766y9q1aplWYC0TZs2HDt2zPLar732Gn379uX999+nXLlyREdHExISgoODw1NlExF51n755xgJSckEFHCjfMGcRseRZ8Bk1q/e08TJkyfx9vbmxIkT5M+f3+g4hkpKTmLEphF8uvpTbiXewtnOme8bfk+38t30mx4RSbVbt24RHR1N4cKFn/zEad68O3dl+fdipd7edwodL7+cJjlFJKWGDRvi4eHBL7/8ct/n0+R7W0TkKdy6nUS1b1dzOS6BUe3K0dj/2V7W+izpPPTB1Nkhac7aypo+Vfuws8dOqntXJzYhlh6Le9Dwl4YcvXrU6HgikpW8/DIcPQpr1sCMGXf+Gx2tQodIGrlx4wbDhg0jMjKSffv20b9/f1auXEmHDh2MjiYi8kDztp/iclwC+dwcCfR7ui45Sb9U7JBnpliuYqwNWcvwwOE42jiyKnoVpUaXYsyWMSSbn27VfhGRVLO2hjp1oG3bO//NYOtSiKRn/77UpXz58vz555/MnTuXBg0aGB1NROS+kpPNTFh3BIBONQpjY61T4sxKf7PyTFlbWfN2lbfZ1XMXNQvUJO52HKF/hVJ/Wn2OXDlidDwRERF5Co6OjqxcuZJLly4RFxfH9u3beVmdUyKSjq3ce44jF+NwdbDh1YreRseRZ0jFDnkuiuYsSlhIGD8F/4STrRNhR8MoPaY0IzePVJeHiIiIiIg8F+P/19XxWpWCONvbGJxGniUVO+S5sTJZ8WalN9ndczd1CtXhxu0b9F7Sm7pT63L48mGj44lIOqV1tEUyF31Pi4hRth+/wpajV7C1NhFSrZDRceQZU7FDnjufHD6semMVI4NHks02G+HHwik9pjQj/hmhLg8RsbC1tQXuLIAoIpnH3e/pu9/jIiLPy/jwO10dLcrmI6+r7gaV2alvRwxhZbKiV6VevPjCi3T5swuro1fzzrJ3mLN3DpOaTeKFXC8YHVFEDGZtbY2bmxvnz58HwMnJSbevFsnAzGYzN27c4Pz587i5uWGtxYJF5Dk6dimOpZFnAehay8fgNPI8qNghhiqcozAr269k3LZxvL/ifdYfX4//WH++qvcVb1d+G2sr/SAkkpV5eHgAWAoeIpLxubm5Wb63RUSelwnrojGboU5xd4rldTE6jjwHKnaI4UwmE90rdCeoaBBd/uzCyiMreW/5e8yJmsPk5pMpnru40RFFxCAmkwlPT0/y5MnD7du3jY4jIk/J1tZWHR0i8txdjkvg920nAOimro4sQ8UOSTcKuhVk+evLmbhjIn2W9WHjyY2UGVuGQXUH0adqH3V5iGRh1tbWOkESERGRJ/LrP8e4dTuZUvlcqeqTy+g48pxogVJJV0wmE13KdWFP6B4CiwQSnxTPhys/pPqk6uy9sNfoeCIiIiIikoHcup3E1A1HAeha00frf2UhKnZIulQgewGWvLaEic0m4mrvyqZTmwj4OYDB6weTmJxodDwREREREckA5m0/xaW4BPK5OdK4tKfRceQ5UrFD0i2TyUSngE5Ehkby4gsvEp8Uz8erPqbaxGrsOb/H6HgiIiIiIpKOJSebmbDuzu1mO9UojI21Tn+zEv1tS7qX3zU/i9ouYmqLqbg5uLHl9BbKjyvPV+FfcTtJCxaKiIiIiMi9Vu49x5GLcbg42PBqRW+j48hzpmKHZAgmk4k3yrxBZGgkTYo1ISEpgc/WfEaViVXYdW6X0fFERERERCSdGf+/ro7XqxTE2V735shqVOyQDMXLxYuFbRbyy0u/kMMhB9vPbKfCuAoMWjtIXR4iIiIiIgLA9uNX2HL0CrbWJkKqFTI6jhhAxQ7JcEwmE6/7v05kaCTNizfndvJt+oX1o9KESkScjTA6noiIiIiIGGx8+J2ujuZl85HX1cHgNGIEFTskw/J08WT+q/OZ8fIMcjnmIuJsBBXHV2RA2AASkhKMjiciIiIiIgY4dimOpZFnAehWy8fgNGIUFTskQzOZTLQt3ZbI0EheLvkyicmJDFw7kIrjK7L9zHaj44mIiIiIyHM2YV00ZjPUKe5OsbwuRscRg6jYIZlCXue8zGk1h1ktZ5HbKTe7zu2i0vhKfL76c+IT442OJyIiIiIiz8Gl2Hh+33YCUFdHVqdih2QaJpOJ1n6tiQqNorVfa5LMSXy57kvKjyvP1tNbjY4nIiIiIiLP2LSNx7h1O5lS+Vyp6pPL6DhiIBU7JNNxz+bOrJaz+L3V77g7uRN5IZIqE6rwyapPuJV4y+h4IiIiIiLyDNxISGTqxqMA9KhdBJPJZGwgMZSKHZJptfRtSVSvKNqWakuSOYlv1n9DuZ/LsenkJqOjiYiIiIhIGpu95QRXb9ymQE4ngkt5Gh1HDKZih2RquZ1yM+OVGcxrPY+82fKy9+Jeqk2qxocrPuTm7ZtGxxMRERERkTRwOymZ8euiAehaywdrK3V1ZHUqdkiW8FLJl4gMjeR1/9dJNiczZMMQAn4OYOOJjUZHExERERGRp/TX7jOcunqTXNnsaFU+v9FxJB1QsUOyjFxOufjlpV/4o80feDh7sP/SfqpPqs57y97jxu0bRscTEREREZEnYDabGbv2CAAh1QrhYGttcCJJD1TskCynWfFmRIZG8kaZNzBjZtg/wyg7tizrj683OpqIiIiIiDym8IMX2XsmBic7a9pXLWh0HEknVOyQLCmnY06mtpjKoraL8HLx4uDlg9SaXIt3lr5DXEKc0fFERERERCSVxoYdBqBNxQK4OdkZnEbSCxU7JEtrXKwxkaGRdCrbCTNmRmwaQZmxZQg/Fm50NBEREREReYSdJ66y8cglbKxMdK5Z2Og4ko6o2CFZnpuDGxObT2TJa0vI75qfw1cOU3tKbXr/1ZvYhFij44mIiIiIyAOMC7+zVkezMl7kc3M0OI2kJyp2iPxPUNEg9vTcQ9dyXQEYuWUk/mP8WRO9xuBkIiIiIiLyX0cvxrFkzxkAutX2MTiNpDcqdoj8S3aH7IxrOo5lry+jQPYCRF+Npt60eoQuDuV6/HWj44mIiIiIyP+MX3eEZDPULe5OCQ9Xo+NIOqNih8h9NCrSiN09d9OjfA8AxmwdQ+kxpVl1ZJXByURERERE5ML1eH7fdhKAHrWLGJxG0iNDix3h4eE0bdoULy8vTCYTCxYsSPF8SEgIJpMpxRYUFJRizFdffUW1atVwcnLCzc3tvq+zZcsW6tevj5ubGzly5CAwMJCdO3emGLNr1y5q1qyJg4MD3t7efPfdd2n5ViUDcrV3ZUyTMaxsv5JCboU4du0YDX5pQPc/uxMTH2N0PBERERGRLGvqhqMkJCZT1tuNSoVzGh1H0iFDix1xcXGUKVOGUaNGPXBMUFAQZ86csWwzZ85M8XxCQgKtWrWiZ8+e9z0+NjaWoKAgChQowKZNm1i/fj0uLi4EBgZy+/ZtAGJiYmjUqBEFCxZk27ZtDBkyhAEDBjBu3Li0e7OSYdX3qc/unrvpVbEXAOO2j6PU6FIsP7zc4GQiIiIiIllPbHwi0zYeBe50dZhMJmMDSbpkY+SLBwcHExwc/NAx9vb2eHh4PPD5gQMHAjBlypT7Pr9v3z4uX77MF198gbe3NwD9+/fH39+fY8eOUbRoUaZPn05CQgKTJk3Czs4OPz8/IiIiGDZsGN26dXuyNyeZirOdMyNfHElL35Z0XtiZI1eOEPhrIJ0DOjO00VCyO2Q3OqKIiIiISJbw2+bjxNxKxCd3Nhr65jU6jqRT6X7NjrCwMPLkyUPx4sXp2bMnly5deqzjixcvTq5cuZg4cSIJCQncvHmTiRMnUrJkSQoVKgTAxo0bqVWrFnZ2dpbjAgMD2b9/P1euXLnvvPHx8cTExFi269e1eGVWUKdQHXb12MVbld7ChImJOybiN9qPvw7+ZXQ0EREREZFMLyExmYnrowHoVssHayt1dcj9petiR1BQENOmTWPVqlUMHjyYtWvXEhwcTFJSUqrncHFxISwsjF9//RVHR0ecnZ1ZunQpS5YswcbmTmPL2bNnyZs3ZUXw7uOzZ8/ed95vvvmG7NmzWzZfX98nfJeS0WSzy8aI4BGsDVlL0ZxFOXX9FI1nNCZkQQhXbt6/OCYiIiIiIk/vz52nOXPtFu4u9rQIyGd0HEnH0nWxo02bNjRr1ozSpUvTokULFi1axJYtWwgLC0v1HDdv3qRz585Ur16df/75h7///ptSpUrRuHFjbt68+cTZ+vbty7Vr1yxbVFTUE88lGVPNgjXZ2WMn71Z5FxMmpu6cit9oP/7c/6fR0UREREREMp3kZDNj1h4GoGP1QjjYWhucSNKzdF3s+C8fHx9y587NoUOHUn3MjBkzOHr0KJMnT6ZixYpUqVKFGTNmEB0dzR9//AGAh4cH586dS3Hc3ccPWi/E3t4eV1dXy+bi4vKE70oyMidbJ4YFDmN9p/UUy1WMM7FnaPZbM9rPb8/lm5eNjiciIiIikmms3HuOQ+djcbG34fUqBY2OI+lchip2nDx5kkuXLuHp6ZnqY27cuIGVlVWKFXrvPk5OTgagatWqhIeHW+7OArBixQqKFy9Ojhw50u4NSKZVzbsaEd0j+KDaB1iZrPh116/4jvJlwb4FRkcTEREREcnwzGYzo8PudHW0r1oQVwdbgxNlXOHh4TRt2hQvLy9MJhMLFix45DHx8fF8+umnFCxYEHt7ewoVKsSkSZNSjBk+fDjFixfH0dERb29v3n33XW7duvWM3sWjGVrsiI2NJSIigoiICACio6OJiIjg+PHjxMbG8sEHH/DPP/9w9OhRVq1aRfPmzSlatCiBgYGWOY4fP245JikpyTJfbGwsAA0bNuTKlSv06tWLvXv3EhkZSceOHbGxsaFu3boAtGvXDjs7Ozp37kxkZCSzZs1ixIgR9OnT57l/JpJxOdo68l3D79jQaQMlc5fkXNw5Xpr1Eu3mtuPijYtGxxMRERERybA2HrlExImr2NtY0bF6YaPjZGhxcXGUKVOGUaNGpfqY1q1bs2rVKiZOnMj+/fuZOXMmxYsXtzw/Y8YMPv74Y/r378/evXuZOHEis2bN4pNPPnkWbyFVDL317NatWy0FB8BSXOjQoQNjxoxh165dTJ06latXr+Ll5UWjRo0YNGgQ9vb2lmP69evH1KlTLY8DAgIAWLNmDXXq1KFEiRL8+eefDBw4kKpVq2JlZUVAQABLly61dIhkz56d5cuX06tXL8qXL0/u3Lnp16+fbjsrT6Ry/sps776dgWED+W7Dd8zcM5NV0asY9eIoWvq2NDqeiIiIiEiGM+Z/XR2tK3jj7mL/iNHyMMHBwQQHB6d6/NKlS1m7di1HjhwhZ86cAJY7m961YcMGqlevTrt27SzPt23blk2bNqVZ7sdlMpvNZsNePRM5efIk3t7enDhxgvz58xsdR9KJLae20PGPjkReiASglW8rRr44kjzZ8hicTEREREQkY9h98hpNR67H2spE2Pt18M7pZHSkdOPueWhUVBT58v3/3Wns7e1TNAk8iMlkYv78+bRo0eKBY0JDQzlw4AAVKlTgl19+IVu2bDRr1oxBgwbh6OgI3OnsCA0NZfny5VSqVIkjR47QuHFj2rdvb1h3R4Zas0Mko6mYryLbum3js5qfYW2y5veo3/Eb7cesPbNQnVFERERE5NHGrL1zg4pmZbxU6HgAX19fsmfPbtm++eabNJv7yJEjrF+/nj179jB//nyGDx/OnDlzCA0NtYxp164dX3zxBTVq1MDW1pYiRYpQp04dQy9jUbFD5Bmzt7FnUL1BbOqyidJ5SnPxxkXazG1Dy99bci723KMnEBERERHJog5fiGXJnrMA9KhdxOA06VdUVBTXrl2zbH379k2zuZOTkzGZTEyfPp1KlSrx4osvMmzYMKZOncrNmzcBCAsL4+uvv2b06NFs376defPmsXjxYgYNGpRmOR6Xih0iz0l5r/Js7baV/rX7Y2Nlw7y98/Ad7cuM3TPU5SEiIiIich/j1h7BbIYGJfNQ3MPF6DjplouLC66urpYtNZewpJanpyf58uUje/bsln0lS5bEbDZz8uRJAD7//HPat29Ply5dKF26NC+99BJff/0133zzjeUuqM+bih0iz5GdtR0D6gxgS9ctlPUoy+Wbl3lt3mu0mNWCM9fPGB1PRERERCTdOHPtJvN23DmZ7lmnqMFpsq7q1atz+vRpyx1PAQ4cOICVlZVlvcobN25gZZWyvGBtbQ1g2C92VewQMUBZj7Js7rKZQXUHYWtly8L9C/Ed7cu0ndPU5SEiIiIiAkxYF83tJDOVC+ekfMEcRsfJNGJjY4mIiCAiIgKA6OhoIiIiOH78OAB9+/bljTfesIxv164duXLlomPHjkRFRREeHs4HH3xAp06dLAuUNm3alDFjxvDbb78RHR3NihUr+Pzzz2natKml6PG8qdghYhBba1s+q/UZ27pto7xnea7eukqHBR1oOrMpp2JOGR1PRERERMQwV+ISmLn5zsl3zzpaqyMtbd26lYCAAAICAgDo06cPAQEB9OvXD4AzZ85YCh8Azs7OrFixgqtXr1KhQgVee+01mjZtyo8//mgZ89lnn/Hee+/x2Wef4evrS+fOnQkMDOTnn39+vm/uX3Tr2TSiW8/K00hMTmTI30MYsHYACUkJZLfPzg+BPxBSNgSTyWR0PBERERGR52r4ygMMX3kQPy9XFvWuoZ+JH0DnoQ+mzg6RdMDGyoa+Nfuyo/sOKuWrxLX4a3Ra2Ing6cGcuHbC6HgiIiIiIs9NXHwiUzYcBe50dajQIU9CxQ6RdMTX3Ze/O/3N4AaDsbe2Z9nhZfiN9mP8tvFay0NEREREsoSZm49z9cZtCuVyIriUp9FxJINSsUMknbGxsuHD6h8S0SOCqvmrcj3hOt0WdSPw10COXT1mdDwRERERkWcmITGZCeuiAeheuwjWVurqkCejYodIOlUidwnWdVzH0EZDcbBxYMWRFZQaU4oxW8aQbDbmXtUiIiIiIs/Sgh2nOBtzi7yu9rxcLp/RcSQDU7FDJB2ztrKmT9U+7OyxkxoFahCbEEvoX6E0mNaA6CvRRscTEREREUkzSclmxoYfBqBLDR/sbYy5ZalkDip2iGQAxXIVY23IWoYHDsfRxpE1R9dQekxpRm4eqS4PEREREckUlu45y5ELcWR3tKVt5QJGx5EMTsUOkQzCymTF21XeZnfP3dQuWJu423H0XtKbulPrcujyIaPjiYiIiIg8MbPZzMg1d36mDalWCGd7G4MTSUanYodIBlMkZxFWd1jNyOCRZLPNRvixcPzH+DP8n+EkJScZHU9ERERE5LGt2X+evWdiyGZnTcfqhYyOI5mAih0iGZCVyYpelXqxu+du6hWux83Em7y77F1qT6nNgUsHjI4nIiIiIpJqZrOZkavvdHW8XqUgbk52BieSzEDFDpEMrHCOwqxsv5KxjcfibOfM3yf+pszYMgzdMFRdHiIiIiKSIWw8contx69iZ2NF55qFjY4jmYSKHSIZnMlkonuF7uzpuYeGPg25lXiL91e8T43JNdh7Ya/R8UREREREHmrU/9bqaFPRmzwuDgankcxCxQ6RTKKgW0GWvb6M8U3H42rvyj8n/yHg5wAGrx9MYnKi0fFERERERO6x/fgV/j50CRsrE91rFzE6jmQiKnaIZCImk4ku5bqwp+cegosGE58Uz8erPqbaxGpEno80Op6IiIiISAqj/rdWx0sB+cjn5mhwGslMVOwQyYS8s3uzuN1iJjefTHb77Gw5vYVy48rxVfhX3E66bXQ8ERERERGiTsewat95rEzQs466OiRtqdghkkmZTCZCyoYQGRpJk2JNSEhK4LM1n1FlYhV2ndtldDwRERERyeJGhd3p6nixtCc+7s4Gp5HMRsUOkUwun2s+FrZZyC8v/UIOhxxsP7OdCuMq8MXaL9TlISIiIiKGOHwhlr92nwGgV92iBqeRzEjFDpEswGQy8br/60SGRtK8eHNuJ9+mf1h/Ko6vSMTZCKPjiYiIiEgWMybsMGYzNCiZh5KerkbHkUxIxQ6RLMTTxZP5r85n5iszyeWYi53ndlJxfEX6relHQlKC0fFEREREJAs4eeUGC3acAtTVIc+Oih0iWYzJZKJNqTZEhkbySslXSExOZFD4ICqMq8C209uMjiciIiIimdzPa4+QmGymetFcBBTIYXQcyaRU7BDJovI652VO6znMbjmb3E652X1+N5UnVObTVZ8SnxhvdDwRERERyYTOx9xi1tYTgLo65NlSsUMki2vl14qo0Che9XuVJHMSX6//mnLjymktDxERERFJcxPWR5OQmEy5Am5U9clldBzJxFTsEBHcs7nzW8vfmNt6Lnmy5SHqQhSVJ1Tmx00/YjabjY4nIiIiIpnAlbgEfv3nGABv1iuKyWQyOJFkZip2iIjFyyVfJjI0kqbFmpKQlMDbS9+m2W/NuHjjotHRRERERCSDm7zhKDcSkvD1dKVu8TxGx5FMTsUOEUkht1Nu/mjzBz8G/YidtR2LDiyizNgyrIleY3Q0EREREcmgYm7dZvLf0cCdtTrU1SHPmoodInIPk8lE78q92dxlM8VzFef09dPUn1afz1d/TmJyotHxRERERCSDmfr3Ua7fSuSFPM4El/IwOo5kASp2iMgDlfEow7Zu2+gc0BkzZr5c9yW1Jtfi6NWjRkcTERERkQwiNj6Rif/r6nizXlGsrNTVIc+eih0i8lDZ7LIxodkEfnvlN1ztXdl4ciNlx5Zl1p5ZRkcTERERkQzg13+OcfXGbXxyZ6OJv5fRcSSLULFDRFLl1VKvEtE9gsr5KnMt/hpt5rah5eyWnIs9Z3Q0EREREUmnbiQkMj78CAChdYtira4OeU5U7BCRVCucozDrOq7j81qfY2Nlw9y9c/Ed7cuvu37VLWpFRERE5B4zNh3nUlwCBXI60bysujrk+VGxQ0Qei621LV/U/YItXbdQ1qMsl29epv389jT7rRmnYk4ZHU9ERERE0olbt5P4+W5XR50i2Frr9FOeH321icgTKetRls1dNvNl3S+xtbJl0YFF+I32Y9KOSeryEBERERFmbTnBhevx5HNz5OVy+Y2OI1mMih0i8sRsrW35tNan7Oi+g4peFbkWf43OCzsTND2IY1ePGR1PRERERAwSn5jE2LWHAehRpwh2Njr1lOdLX3Ei8tT88vixofMGhjQcgoONA8sPL6fUmFKM2TKGZHOy0fFERERE5Dmbs+0kZ67dIq+rPa3Kq6tDnj8VO0QkTdhY2fB+tffZ2WMn1b2rE5sQS+hfodSfVp/Dlw8bHU9EREREnpPbScmMXvO/ro7aRXCwtTY4kWRFKnaISJoqlqsY4R3DGRE0AidbJ8KOhlF6TGmG/zOcpOQko+OJiIiIyDM2f/spTl29SW5ne9pWKmB0HMmiVOwQkTRnZbLircpvsbvnbuoWqsvNxJu8u+xdak2pxb6L+4yOJyIiIiLPSGJSMqPCDgHQvZaPujrEMCp2iMgz45PDh1VvrOLnJj/jYufChhMbKDu2LIPXDyYxOdHoeCIiIiKSxv7cdZpjl26QM5sdr1VRV4cYR8UOEXmmTCYT3cp3Y0/oHgKLBBKfFM/Hqz6m6sSq7Dm/x+h4IiIiIpJGkpLN/LT6TldH5xqFcbKzMTiRZGUqdojIc1EgewGWvLaEKc2n4ObgxtbTWyn3czkGrR3E7aTbRscTERERkaf01+4zHLkQR3ZHW96oWtDoOJLFqdghIs+NyWSiQ9kORIVG0bx4c24n36ZfWD8qjq/IjjM7jI4nIiIiIk8oOdnMyP91dXSqXhgXB1uDE0lWp2KHiDx3ni6ezH91PjNenkEux1zsPLeTiuMr8tnqz4hPjDc6noiIiIg8pmWRZ9l/7jou9jaEVC9kdBwRFTtExBgmk4m2pdsS1SuKVr6tSDIn8dW6ryg3rhybTm4yOp6IiIiIpFJyspkRqw4C0LFGYbI7qqtDjKdih4gYKk+2PMxuNZs5reaQN1teoi5EUW1SNT5Y/gE3b980Op6IiIiIPMKyyLPsO3unq6Nz9cJGxxEBVOwQkXTiFd9XiAyNpL1/e5LNyXy/8XvKjC3D+uPrjY4mIiIiIg9wT1eHk7o6JH1QsUNE0o1cTrmY9tI0/mz7J14uXhy8fJBak2vx1pK3iE2INTqeiIiIiPyHujokvVKxQ0TSnSbFmhAZGknngM6YMfPT5p/wH+PP6ujVRkcTERERkf9RV4ekZyp2iEi65ObgxoRmE1j++nIKZC9A9NVo6k+rT/c/u3Pt1jWj44mIiIhkecuj1NUh6ZeKHSKSrjUs0pA9PfcQWiEUgHHbx1FqTCmWHFxicDIRERGRrCs52czwlf/r6qheSF0dku6o2CEi6Z6LvQujGo8irEMYRXIU4WTMSV6c8SIhC0K4fPOy0fFEREREspx/d3V0qqGuDkl/VOwQkQyjdqHa7Oq5i3ervIsJE1N3TsVvtB8L9i0wOpqIiIhIlvHfrg43JzuDE4ncS8UOEclQnGydGBY4jL87/U3xXMU5G3uWl2a9RNu5bbkQd8HoeCIiIiKZnro6JCNQsUNEMqSq3lWJ6BHBx9U/xspkxW97fsNvtB+zI2djNpuNjiciIiKSKamrQzIKFTtEJMNysHHgmwbfsKnLJkrlKcWFGxd4dc6rvDL7Fc7GnjU6noiIiEimo64OyShU7BCRDK+CVwW2ddtGv1r9sLGyYf6++fiO8uWXnb+oy0NEREQkjairQzISQ4sd4eHhNG3aFC8vL0wmEwsWLEjxfEhICCaTKcUWFBSUYsxXX31FtWrVcHJyws3N7Z7XmDJlyj1z3N3Onz9vGRcWFka5cuWwt7enaNGiTJky5Rm8YxF5Vuys7RhYdyBbu24lwCOAK7eu8MaCN2g6syknY04aHU9EREQkw1NXh2QkhhY74uLiKFOmDKNGjXrgmKCgIM6cOWPZZs6cmeL5hIQEWrVqRc+ePe97/Kuvvpri+DNnzhAYGEjt2rXJkycPANHR0TRu3Ji6desSERHBO++8Q5cuXVi2bFnavVkReS7KeJRhU5dNfF3va+ys7Vh8cDF+o/2YsH2CujxEREREnpC6OiSjsTHyxYODgwkODn7oGHt7ezw8PB74/MCBAwEe2Inh6OiIo6Oj5fGFCxdYvXo1EydOtOwbO3YshQsXZujQoQCULFmS9evX88MPPxAYGJjatyMi6YSttS19a/aleYnmdPqjE5tObaLrn12ZFTmL8U3HU8itkNERRURERDIUdXVIRpPu1+wICwsjT548FC9enJ49e3Lp0qWnmm/atGk4OTnRsmVLy76NGzfSoEGDFOMCAwPZuHHjA+eJj48nJibGsl2/fv2pcolI2vN19+XvTn8ztNFQHGwcWHlkJaVGl2LU5lEkm5ONjiciIiKSIfy7qyNEXR2SQaTrYkdQUBDTpk1j1apVDB48mLVr1xIcHExSUtITzzlx4kTatWuXotvj7Nmz5M2bN8W4vHnzEhMTw82bN+87zzfffEP27Nktm6+v7xNnEpFnx9rKmj5V+7Crxy5qFqhJ3O043lzyJnWn1uXQ5UNGxxMRERFJ9/7ac8bS1dGlho/RcURSJV0XO9q0aUOzZs0oXbo0LVq0YNGiRWzZsoWwsLAnmm/jxo3s3buXzp07P3W2vn37cu3aNcsWFRX11HOKyLPzQq4XCAsJY2TwSLLZZiP8WDj+Y/wZtnEYSclPXkAVERERycyS/tXV0blmYbI72RqcSCR10nWx4798fHzInTs3hw492W9jJ0yYQNmyZSlfvnyK/R4eHpw7dy7FvnPnzuHq6pqiA+Tf7O3tcXV1tWwuLi5PlElEnh8rkxW9KvViT+geGvg04GbiTd5b/h41Jtcg6oIKliIiIiL/9efO0xw6H0t2R1ut1SEZSoYqdpw8eZJLly7h6en52MfGxsYye/bs+3Z1VK1alVWrVqXYt2LFCqpWrfrEWUUk/SrkVojlry9nfNPxuNq78s/Jfwj4OYBv1n1DYnKi0fFERERE0oXEpGRGrLrT1dGtlg+uDurqkIzD0GJHbGwsERERREREAHduARsREcHx48eJjY3lgw8+4J9//uHo0aOsWrWK5s2bU7Ro0RR3SDl+/LjlmKSkJMt8sbGxKV5r1qxZJCYm8vrrr9+To0ePHhw5coQPP/yQffv2MXr0aGbPns277777TN+/iBjHZDLRpVwXIkMjefGFF0lISuCT1Z9QeUJldp7daXQ8EREREcPN33GK6Itx5MxmR4dqhYyOI/JYTGaz2WzUi4eFhVG3bt179nfo0IExY8bQokULduzYwdWrV/Hy8qJRo0YMGjQoxWKiISEhTJ069Z451qxZQ506dSyPq1WrRuHChZk+ffoDs7z77rtERUWRP39+Pv/8c0JCQlL9Xk6ePIm3tzcnTpwgf/78qT5ORIxnNpv5ddevvL30ba7cuoKNlQ2f1vyUT2p+gp21VhsXERGRrOd2UjL1hoZx4vJN+gaXoHvtIkZHkvvQeeiDGVrsyEz0RSaS8Z2NPUvo4lDm75sPQOk8pZncfDLlvco/4kgRERGRzGXm5uP0nbeb3M72rPuwLo521kZHkvvQeeiDZag1O0REniUPZw/mtp7LrJazyO2Um93nd1N5QmX6ruzLrcRbRscTEREReS7iE5P46X9rdfSsU0SFDsmQVOwQEfkXk8lEa7/WRIVG0aZUG5LMSXz797eUHVuWDSc2GB1PRERE5JmbveUEp6/dIq+rPa9VLmB0HJEnomKHiMh9uGdzZ+YrM5n/6nw8nD3Yf2k/NSbVoM+yPty4fcPoeCIiIiLPxK3bSYxccwiAXnWL4mCrrg7JmFTsEBF5iBYlWhAZGkmHMh0wY+aHf37Af4w/a4+uNTqaiIiISJqbsek452Li8cruwKsVvY2OI/LEVOwQEXmEnI45mdJiCn+1+4v8rvk5fOUwdabWodfiXlyPv250PBEREZE0cTMhidFhhwF4s94L2Nuoq0MyLhU7RERSKfiFYCJDI+levjsAo7eOpvSY0qw4vMLgZCIiIiJP75d/jnIxNh7vnI60qqA7e0jGpmKHiMhjcLV3ZWyTsaxsv5JCboU4du0YjX5tRJeFXbh666rR8URERESeSGx8ImPXHgGgd70XsLXWqaJkbPoKFhF5AvV96rO75256V+oNwMQdEyk1uhSLDyw2OJmIiIjI45u64SiX4xIolMuJlwPyGR1H5Kmp2CEi8oSc7Zz5MfhHwkPCeSHnC5y6foomM5vQfn57Lt24ZHQ8ERERkVSJuXWbceF3ujrebvACNurqkExAX8UiIk+pZsGa7Oyxk/ervo+VyYpfd/2K32g/5u2dZ3Q0ERERkUeasC6aazdvU8Q9G83KqKtDMgcVO0RE0oCjrSNDGg1hQ6cN+Lr7ci7uHK/MfoXWv7fmfNx5o+OJiIiI3NfluAQmrrvT1dGnYXGsrUwGJxJJGyp2iIikocr5K7O923Y+rfkp1iZrfo/6Hd9RvszYPQOz2Wx0PBEREZEUxq49TFxCEr6ergSX8jA6jkiaUbFDRCSN2dvY82W9L9nSdQtl8pbh0s1LvDbvNVrMasHp66eNjiciIiICwLmYW0zdcBSADwKLY6WuDslEVOwQEXlGAjwD2Nx1M1/U+QJbK1sW7l+I32g/pkRMUZeHiIiIGG7k6kPEJyZTvmAO6hR3NzqOSJpSsUNE5Bmys7bj89qfs737dip4VeDqrat0/KMjwdODOX7tuNHxREREJIs6cfkGMzff+Vnk/UbFMZnU1SGZi4odIiLPQak8pdjYeSODGwzG3tqeZYeXUWp0KX7e+jPJ5mSj44mIiEgWM3zlQRKTzdQompuqRXIZHUckzanYISLynNhY2fBh9Q/Z2WMn1byrcT3hOj0W96DBtAYcuXLE6HgiIiKSRRw6f535O04C8H5gcYPTyPMWHh5O06ZN8fLywmQysWDBgkceEx8fz6effkrBggWxt7enUKFCTJo0KcWYq1ev0qtXLzw9PbG3t6dYsWL89ddfz+hdPJqKHSIiz1nx3MUJDwlnRNAInGydWHN0DaXHlGbEPyPU5SEiIiLP3A8rDpJshoa+eSnr7WZ0HHnO4uLiKFOmDKNGjUr1Ma1bt2bVqlVMnDiR/fv3M3PmTIoX//9CWUJCAg0bNuTo0aPMmTOH/fv3M378ePLly/cs3kKq2Bj2yiIiWZi1lTVvVX6LJsWa0GVhF9YcXcM7y97h96jfmdhsIsVz67csIiIikvb2nLrG4t1nMJngvUbFjI4jBggODiY4ODjV45cuXcratWs5cuQIOXPmBKBQoUIpxkyaNInLly+zYcMGbG1t7zvmeVNnh4iIgXxy+LDyjZWMaTwGFzsX/j7xN2XGluG7v78jMTnR6HgiIiKSyQxdvh+Apv5elPBwNTiNpJXr168TExNj2eLj49Ns7oULF1KhQgW+++478uXLR7FixXj//fe5efNmijFVq1alV69e5M2bl1KlSvH111+TlJSUZjkel4odIiIGszJZ0aNCD/aE7iGwSCDxSfF8tPIjqk2sxp7ze4yOJyIiIpnEtmOXWbP/AtZWJt5tqK6OzMTX15fs2bNbtm+++SbN5j5y5Ajr169nz549zJ8/n+HDhzNnzhxCQ0NTjJkzZw5JSUn89ddffP755wwdOpQvv/wyzXI8Ll3GIiKSThTIXoAlry1h6s6pvLP0Hbac3kK5n8vxea3P+bjGx9ha2xodUURERDIos9nMkGV3ujpalc9P4dzZDE4kaSkqKirF+hj29vZpNndycjImk4np06eTPXt2AIYNG0bLli0ZPXo0jo6OJCcnkydPHsaNG4e1tTXly5fn1KlTDBkyhP79+6dZlsehzg4RkXTEZDIRUjaEqF5RNC3WlNvJt+kX1o+K4yuy48wOo+OJiIhIBvX3oUv8c+QydtZW9K7/gtFxJI25uLjg6upq2dKy2OHp6Um+fPkshQ6AkiVLYjabOXnypGVMsWLFsLa2TjHm7NmzJCQkpFmWx6Fih4hIOuTl4sUfbf5gxsszyOWYi53ndlJxfEU+W/0Z8Ylpdw2miIiIZH5ms5kh/1uro13lAuRzczQ4kWQk1atX5/Tp08TGxlr2HThwACsrK/Lnz28Zc+jQIZKTk1OM8fT0xM7O7rlnBhU7RETSLZPJRNvSbYkMjaSVbyuSzEl8te4ryo0rx6aTm4yOJyIiIhnEyr3n2XniKo621vSqW9ToOGKw2NhYIiIiiIiIACA6OpqIiAiOHz8OQN++fXnjjTcs49u1a0euXLno2LEjUVFRhIeH88EHH9CpUyccHe8Uznr27Mnly5d5++23OXDgAIsXL+brr7+mV69ez/393aVih4hIOpfXOS+zW81mTqs55MmWh6gLUVSbVI0Pln/Azds3Hz2BiIiIZFlJyWbLHVg6Vi+Eu0vaXd4gGdPWrVsJCAggICAAgD59+hAQEEC/fv0AOHPmjKXwAeDs7MyKFSu4evUqFSpU4LXXXqNp06b8+OOPljHe3t4sW7aMLVu24O/vz1tvvcXbb7/Nxx9//Hzf3L+YzGaz2bBXz0ROnjyJt7c3J06csLTyiIiktUs3LvHOsnf4ddevALyQ8wUmNptIzYI1DU4mIiIi6dH8HSd5d9ZOXB1sWPdhPbI7acHzzETnoQ+mzg4RkQwkl1MufnnpF/5s+ydeLl4cvHyQ2lNq89aSt4hNiH30BCIiIpJlJCQmM3T5AQB61CmiQodkKSp2iIhkQE2KNSEyNJLOAZ0xY+anzT9RekxpVh1ZZXQ0ERERSSdmbj7OySs3yeNiT8dqhY2OI/JcqdghIpJBuTm4MaHZBJa9vowC2Qtw9OpRGvzSgG5/duParWtGxxMREREDxcUn8tPqgwC8Vf8FHO2sH3GESOaiYoeISAbXqEgj9vTcQ2iFUADGbx9PqTGlWHJwicHJRERExCiT1kdzMTaBgrmceLWit9FxRJ47FTtERDIBF3sXRjUeRViHMIrkKMLJmJO8OONFQhaEcOXmFaPjiYiIyHN0OS6BceFHAHivUXFsrXXaJ1mPvupFRDKR2oVqs6vnLt6t8i4mTEzdORXf0b78se8Po6OJiIjIczIm7BDX4xPx9XSlSWlPo+OIGELFDhGRTMbJ1olhgcP4u9PflMhdgrOxZ2kxqwVt57blQtwFo+OJiIjIM3T66k2mbjwGwIdBxbGyMhmcSMQYKnaIiGRSVb2rsqP7Dj6u/jHWJmt+2/MbfqP9mB05G7PZbHQ8EREReQZGrDxIQmIylQvnpHYxd6PjiBhGxQ4RkUzMwcaBbxp8wz9d/qF0ntJcuHGBV+e8yiuzX+Fs7Fmj44mIiEgaOnQ+lt+3nQDgw6ASmEzq6pCsS8UOEZEsoIJXBbZ220r/2v2xsbJh/r75+I7y5Zedv6jLQ0REJJMYunw/yWZo6JuX8gVzGB1HxFAqdoiIZBF21nYMqDOAbd22Uc6zHFduXeGNBW/QZGYTTsacNDqeiIiIPIWdJ66yZM9ZTCb4ILC40XFEDKdih4hIFuOf159NXTbxdb2vsbO246+Df+E32o8J2yeoy0NERCSD+m7ZPgBeDshPsbwuBqcRMZ6KHSIiWZCNlQ19a/YlonsEVfJXISY+hq5/dqXhLw05evWo0fFERETkMaw/eJG/D13CztqKdxq8YHQckXRBxQ4RkSyspHtJ1ndcz9BGQ3GwcWBV9CpKjS7FyM0jSTYnGx1PREREHsFsNjN46Z2ujteqFMA7p5PBiUTSBxU7RESyOGsra/pU7cOuHruoVbAWcbfj6L2kN3Wm1OHgpYNGxxMREZGH+Gv3WXafukY2O2t61S1qdByRdEPFDhERAeCFXC+wpsMaRgaPJJttNtYdX4f/WH+GbhhKUnKS0fFERETkP24nJTPkf2t1dKnpQ25ne4MTiaQfKnaIiIiFlcmKXpV6sSd0Dw18GnAr8Rbvr3if6pOqE3Uhyuh4IiIi8i8zNx/n6KUb5Ha2o2stH6PjiKQrKnaIiMg9CrkVYvnryxnfdDyu9q5sOrWJgJ8D+Hrd19xOum10PBERkSwvNj6RH1fdudz07fov4GxvY3AikfRFxQ4REbkvk8lEl3JdiAyN5MUXXiQhKYFPV39K5QmViTgbYXQ8ERGRLG18+BEuxiZQKJcTbSoVMDqOSLqjYoeIiDxUftf8LGq7iF9e+oUcDjnYcXYHFcdXpN+afiQkJRgdT0REJMs5f/0W49cdAeCDwBLYWuu0TuS/9F0hIiKPZDKZeN3/daJ6RfFyyZdJTE5kUPggyo8rz5ZTW4yOJyIikqX8uOogNxKSKOPtxoulPYyOI5IuqdghIiKp5uHswZxWc5jdcjbuTu7sOb+HKhOr8PHKj7mVeMvoeCIiIpnekQuxzNx8AoC+wSUwmUwGJxJJn1TsEBGRx2IymWjl14rI0EjalmpLsjmZwX8PpuzYsmw4scHoeCIiIpnakGX7SUo2U69EHqr45DI6jki6pWKHiIg8Efds7sx4ZQYLXl2Ap7Mn+y/tp8akGry79F3iEuKMjiciIpLpbD9+hSV7zmJlgo+CShgdRyRdU7FDRESeSvMSzYkMjSSkbAhmzAzfNBz/sf6EHQ0zOpqIiEimYTab+favfQC8Ui4/xT1cDE4kkr6p2CEiIk8th2MOJjefzJLXlpDfNT9Hrhyh7tS6hC4O5Xr8daPjiYiIZHir9p5n89HL2NtY8W7DYkbHEUn3VOwQEZE0E1Q0iMjQSLqX7w7AmK1jKDWmFMsPLzc4mYiISMaVmJTM4KV3ujpCqhfCy83R4EQi6Z+KHSIikqZc7V0Z22QsK9uvpLBbYY5fO07gr4F0/qMzV29dNTqeiIhIhjNv+ykOno8lu6MtobWLGh1HJENQsUNERJ6J+j712dVzF29VegsTJiZFTMJvtB9/7v/T6GgiIiIZxs2EJIatOADAm3WLkt3J1uBEIhmDih0iIvLMONs5MyJ4BOEdwymWqxinr5+m2W/NeG3ea1y6ccnoeCIiIune5A3RnI25RT43R9pXLWh0HJEMQ8UOERF55moUqEFE9wg+qPYBViYrZuyege9oX+ZEzTE6moiISLp1OS6BMWsOA/Beo2I42FobnEgk41CxQ0REngtHW0e+a/gdGztvxNfdl/Nx52n1eyta/d6Kc7HnjI4nIiKS7vy46iDX4xPx9XSlRdl8RscRyVBU7BARkeeqUr5KbO+2nc9qfoa1yZo5UXPwG+3HjN0zMJvNRscTERFJF45ciOXXf44B8FnjklhZmQxOJJKxqNghIiLPnb2NPYPqDWJL1y2U9SjLpZuXeG3eazT/rTmnYk4ZHU9ERMRwg5fuIzHZTL0SeahWNLfRcUQyHEOLHeHh4TRt2hQvLy9MJhMLFixI8XxISAgmkynFFhQUlGLMV199RbVq1XBycsLNze2BrzVlyhT8/f1xcHAgT5489OrVK8Xzu3btombNmjg4OODt7c13332XVm9TREQeIMAzgM1dNjOo7iBsrWz588Cf+I32Y/KOyeryEBGRLGtz9GWWRZ7DygR9g0sYHUckQzK02BEXF0eZMmUYNWrUA8cEBQVx5swZyzZz5swUzyckJNCqVSt69uz5wDmGDRvGp59+yscff0xkZCQrV64kMDDQ8nxMTAyNGjWiYMGCbNu2jSFDhjBgwADGjRv39G9SREQeytbals9qfcaO7juo6FWRa/HX6LSwE0HTgzh+7bjR8URERJ6r5GQzXy2OAqBNpQK8kNfF4EQiGZONkS8eHBxMcHDwQ8fY29vj4eHxwOcHDhwI3OncuJ8rV67w2Wef8eeff1K/fn3Lfn9/f8ufp0+fTkJCApMmTcLOzg4/Pz8iIiIYNmwY3bp1e4x3JCIiT8ovjx8bOm9g+D/D+XzN5yw/vBy/0X4MaTiEbuW7YWXSlZciIpL5Ldp9hp0nr5HNzpp3GrxgdByRDCvd/+QYFhZGnjx5KF68OD179uTSpUuPdfyKFStITk7m1KlTlCxZkvz589O6dWtOnDhhGbNx40Zq1aqFnZ2dZV9gYCD79+/nypUr9503Pj6emJgYy3b9+vUne4MiImJhY2XD+9XeZ2ePnVT3rk5sQiw9F/ek/rT6HL582Oh4IiIiz9St20kMXrIPgB61i5DHxcHgRCIZV7oudgQFBTFt2jRWrVrF4MGDWbt2LcHBwSQlJaV6jiNHjpCcnMzXX3/N8OHDmTNnDpcvX6Zhw4YkJCQAcPbsWfLmzZviuLuPz549e995v/nmG7Jnz27ZfH19n/BdiojIfxXLVYzwjuGMCBqBk60TYUfD8B/rz4h/RpCUnPp/A0RERDKSaRuPcurqTfK62tOlpo/RcUQytHRd7GjTpg3NmjWjdOnStGjRgkWLFrFlyxbCwsJSPUdycjK3b9/mxx9/JDAwkCpVqjBz5kwOHjzImjVrnjhb3759uXbtmmWLiop64rlEROReViYr3qr8Frt77qZuobrcuH2Dd5a9Q60ptdh3cZ/R8URERNLUlbgEflp9CID3GxXH0c7a4EQiGVu6Lnb8l4+PD7lz5+bQoUOpPsbT0xMgReeFu7s7uXPn5vjxOwvfeXh4cO7cuRTH3X38oPVC7O3tcXV1tWwuLlo4SETkWfDJ4cOqN1bxc5OfcbFzYcOJDZQdW5bB6weTmJxodDwREZE08ePqg1y/lUhJT1deLpff6DgiGV6GKnacPHmSS5cuWQoYqVG9enUA9u/fb9l3+fJlLl68SMGCBQGoWrUq4eHh3L592zJmxYoVFC9enBw5cqRRehEReVImk4lu5buxJ3QPgUUCiU+K5+NVH1N1YlV2n9ttdDwREZGnEn0xjl82HgPg0xdLYm1lMjiRSMZnaLEjNjaWiIgIIiIiAIiOjiYiIoLjx48TGxvLBx98wD///MPRo0dZtWoVzZs3p2jRoiluG3v8+HHLMUlJSZb5YmNjAShWrBjNmzfn7bffZsOGDezZs4cOHTpQokQJ6tatC0C7du2ws7Ojc+fOREZGMmvWLEaMGEGfPn2e+2ciIiIPViB7AZa8toQpzafg5uDG1tNbKT+uPF+s/YKEpASj44mIiDyR75buIzHZTJ3i7tR4IbfRcUQyBZPZbDYb9eJhYWGWgsO/dejQgTFjxtCiRQt27NjB1atX8fLyolGjRgwaNCjFYqIhISFMnTr1njnWrFlDnTp1AIiJieHdd99l3rx5WFlZUbt2bUaMGIG3t7dl/K5du+jVqxdbtmwhd+7c9O7dm48++ijV7+XkyZN4e3tz4sQJ8udX25mIyLN2+vppei7uycL9CwHwz+vP5OaTKedZzuBkIiIiqbf16GVajt2IlQmWvF2L4h66PF5ST+ehD2ZosSMz0ReZiMjzZzabmRU5izf/epNLNy9hbbLmo+of0a92P+xt7I2OJyIi8lBms5mXx2xgx/GrtK3kzTcv+xsdSTIYnYc+WIZas0NEROTfTCYTbUq1IapXFK39WpNkTuLr9V8T8HMAm05uMjqeiIjIQy3efYYdx6/iZGfNuw2KGR1HJFNRsUNERDK8PNnyMKvlLOa2nkvebHnZe3Ev1SZV4/3l73Pj9g2j44mIiNzj1u0kvl1y51bq3Wr5kMfVweBEIpmLih0iIpJpvFzyZSJDI2nv355kczJDNw6l7NiyrDu2zuhoIiIiKUz6O5qTV27imd2B7rWKGB1HJNNRsUNERDKVXE65mPbSNBa1XUQ+l3wcvHyQWlNq0fuv3sQmxBodT0REhPPXbzFq9SEAPgwqjqOdtcGJRDIfFTtERCRTalysMZGhkXQJ6ALAyC0jKT2mNKuOrDI4mYiIZHXDlh8gLiGJMvmz07xMPqPjiGRKKnaIiEimld0hO+ObjWf568spmL0gR68epcEvDej2Zzeu3bpmdDwREcmCok7HMGvrCQA+b+KLlZXJ4EQimZOKHSIikuk1LNKQPaF76FWxFwDjt4+n1JhS/HXwL4OTiYhIVmI2m/lycRRmMzT296RCoZxGRxLJtFTsEBGRLMHZzpmRL45kbchaiuQowsmYkzSe0ZgOCzpw+eZlo+OJiEgWsHLveTYcvoSdjRUfB5UwOo5IpqZih4iIZCm1CtZiV89d9KnSBxMmpu2cht9oPxbsW2B0NBERycQSEpP5+q+9AHSuURjvnE4GJxLJ3FTsEBGRLMfJ1omhgUP5u9PflMhdgrOxZ3lp1ku0mdOGC3EXjI4nIiKZ0C//HCP6Yhy5ne0IraNbzYo8ayp2iIhIllXVuyo7uu/g4+ofY22yZlbkLHxH+zJrzyzMZrPR8UREJJO4EpfAiJUHAHivUXFcHGwNTiSS+anYISIiWZqDjQPfNPiGf7r8Q+k8pbl44yJt5rbhldmvcDb2rNHxREQkExix6iAxtxIp4eFC6wreRscRyRJU7BAREQEqeFVga7et9K/dHxsrG+bvm4/vKF+m7ZymLg8REXlih85f55d/jgF3bjVrrVvNijwXKnaIiIj8j521HQPqDGBbt22U8yzHlVtX6LCgA01mNuFkzEmj44mISAb01eK9JCWbaVAyD9WL5jY6jkiWoWKHiIjIf/jn9WdTl018Xe9r7Kzt+OvgX/iN9mP8tvHq8hARkVQLP3CBNfsvYGNl4pMXSxodRyRLUbFDRETkPmysbOhbsy8R3SOokr8KMfExdFvUjYa/NOTo1aNGxxMRkXQuMSmZLxdHAfBG1UL4uDsbnEgka1GxQ0RE5CFKupdkfcf1DG00FAcbB1ZFr6LU6FKM2jyKZHOy0fFERCSdmrH5OAfOxeLmZMtb9YsaHUcky1GxQ0RE5BGsrazpU7UPu3rsolbBWsTdjuPNJW9Sd2pdDl0+ZHQ8ERFJZ67EJTB0+f/fatbNyc7gRCJZj4odIiIiqfRCrhdY02ENI4NHks02G+HHwvEf48+wjcNISk4yOp6IiKQTP6w8wLWbtynh4ULbirrVrIgRVOwQERF5DFYmK3pV6sWe0D008GnAzcSbvLf8PapPqk7UhSij44mIiMH2nY3h1//darZfU19srHXKJWIEfeeJiIg8gUJuhVj++nLGNx2Pq70rm05tIuDnAL5Z9w2JyYlGxxMREQOYzWYGLowi2QzBpTyoVkS3mhUxioodIiIiT8hkMtGlXBciQyN58YUXSUhK4JPVn1B5QmV2nt1pdDwREXnOlkWeY+ORS9jZWOlWsyIGU7FDRETkKeV3zc+itouY1mIaORxysP3MdiqMr8CAsAEkJCUYHU9ERJ6DW7eT+OqvO5czdq/lg3dOJ4MTiWRtKnaIiIikAZPJRPsy7YnqFcVLJV4iMTmRgWsHUmFcBbad3mZ0PBERecYmro/mxOWbeLg60LNOEaPjiGR5KnaIiIikIQ9nD+a2nsvslrNxd3Jn9/ndVJ5Qmb4r+3Ir8ZbR8URE5Bk4e+0Wo9bcuRV53xdL4GRnY3AiEVGxQ0REJI2ZTCZa+bUiMjSStqXakmRO4tu/v6Xs2LJsOLHB6HgiIpLGBi/dx42EJMoXzEGzMl5GxxERVOwQERF5ZtyzuTPjlRkseHUBHs4e7L+0nxqTatBnWR9u3L5hdDwREUkD245dYf6OU5hMMKCpHyaTyehIIoKKHSIiIs9c8xLNiQqNIqRsCGbM/PDPD/iP8SfsaJjR0URE5CkkJ5sZ+GckAK3K56d0/uwGJxKRu1TsEBEReQ5yOOZgcvPJLHltCfld83P4ymHqTq1L6OJQrsdfNzqeiIg8gTnbT7Lr5DWc7W34ILCE0XFE5F9U7BAREXmOgooGERkaSffy3QEYs3UMpcaUYvnh5QYnExGRx3H91m2+W7ofgLfqF8Xdxd7gRCLybyp2iIiIPGeu9q6MbTKWle1XUsitEMevHSfw10A6/9GZq7euGh1PRERS4afVh7gYG0/h3NkIqVbY6Dgi8h8qdoiIiBikvk99dvfcTe9KvQGYFDEJv9F+LDqwyOBkIiLyMIfOxzJpfTQA/Zr4Ymej0yqR9EbflSIiIgZytnPmx+AfCQ8J54WcL3D6+mmazmxK+/ntuXTjktHxRETkP8xmMwMWRpKYbKZByTzULZHH6Egich8qdoiIiKQDNQvWJKJHBO9XfR8rkxW/7voV39G+zI2aa3Q0ERH5l2WRZ1l/6CJ2NlZ83sTX6Dgi8gAqdoiIiKQTTrZODGk0hA2dNuDr7sv5uPO0/L0lrX5vxfm480bHExHJ8m4mJDFo0V4AetTyoWCubAYnEpEHUbFDREQknamcvzLbu23n05qfYm2yZk7UHHxH+TJj9wzMZrPR8UREsqwxYYc4dfUm+dwc6VmnqNFxROQhVOwQERFJh+xt7Pmy3pds6bqFMnnLcOnmJV6b9xotZrXg9PXTRscTEclyjl2KY2z4EQA+a1wSRztrgxOJPJnw8HCaNm2Kl5cXJpOJBQsWPPKY+Ph4Pv30UwoWLIi9vT2FChVi0qRJ9x3722+/YTKZaNGiRary7N27l/79+1OvXj2KFCmCp6cn/v7+dOjQgRkzZhAfH/8Y7+7/PVGx4/bt25w4cYL9+/dz+fLlJ3phERERebQAzwA2d93MwDoDsbWyZeH+hfiN9mNKxBR1eYiIPEeDFkWRkJhMjaK5CSrlYXQckScWFxdHmTJlGDVqVKqPad26NatWrWLixIns37+fmTNnUrx48XvGHT16lPfff5+aNWs+cs7t27fToEEDAgICWL9+PZUrV+add95h0KBBvP7665jNZj799FO8vLwYPHjwYxc9TOZU/qR0/fp1fv31V3777Tc2b95MQkICZrMZk8lE/vz5adSoEd26daNixYqPFSCzOHnyJN7e3pw4cYL8+fMbHUdERDKh3ed202lhJ7ae3gpAUNEgxjUZh3d2b4OTiYhkbmv2nafjlC3YWJlY+k5NiuZxMTqSCPD056Emk4n58+c/tAtj6dKltGnThiNHjpAzZ84HjktKSqJWrVp06tSJdevWcfXq1Yd2jRQuXJgPPviAdu3a4ebm9sBxGzduZMSIEfj7+/PJJ5+k4l3dkarOjmHDhlGoUCEmT55MgwYNWLBgARERERw4cICNGzfSv39/EhMTadSoEUFBQRw8eDDVAURERCR1SuctzcbOGxncYDD21vYsPbQUv9F+jNs2Tl0eIiLPSHxiEgP/jASgU43CKnRIunT9+nViYmIs25Ne+nE/CxcupEKFCnz33Xfky5ePYsWK8f7773Pz5s0U47744gvy5MlD586dUzXvgQMHCA0NfWihA6Bq1ar89ttvfPDBB4+V2yY1g7Zs2UJ4eDh+fn73fb5SpUp06tSJsWPHMnnyZNatW8cLL7zwWEFERETk0WysbPiw+oc0K96MTn90YuPJjXRf1J1ZkbOY0HQChXMUNjqiiEimMmFdNEcv3SCPiz2962lRUkmffH1T3ga5f//+DBgwIE3mPnLkCOvXr8fBwYH58+dz8eJFQkNDuXTpEpMnTwZg/fr1TJw4kYiIiFTPa2tr+1g5Hnd8qoodffv2pWTJko8cZ29vT48ePR4rgIiIiDy+ErlLsK7jOn7a/BOfrPqE1dGrKTWmFN/W/5ZelXphZdIa5CIiT+v01ZuMXH0IgE9eLImLw+OdbIk8L1FRUeTLl8/y2N7ePs3mTk5OxmQyMX36dLJnzw7cufqjZcuWjB49msTERNq3b8/48ePJnTv3E73Gjz/+eN/9JpMJBwcHihYtSq1atbC2Tv3CwKkqdgQEBHDmzBny5MmDj48PW7ZsIVeuXKl+EREREUl71lbWvFPlHZoWa0rnhZ1Ze2wtby19i9lRs5nYbCLFchUzOqKISIb21V97uXk7iYqFctC8rJfRcUQeyMXFBVdX12cyt6enJ/ny5bMUOgBKliyJ2Wzm5MmTxMXFcfToUZo2bWp5Pjk5GQAbGxv2799PkSJFHvoaP/zwAxcuXODGjRvkyJEDgCtXruDk5ISzszPnz5/Hx8eHNWvW4O2durXKUvVrHzc3N6Kjo4E7q6veDS4iIiLGK5KzCKs7rGb0i6NxtnNm/fH1lBlbhu83fE9ScpLR8UREMqQNhy6yeNcZrEwwoJkfJpPJ6EgihqhevTqnT58mNjbWsu/AgQNYWVmRP39+SpQowe7du4mIiLBszZo1o27dukRERKSqOPH1119TsWJFDh48yKVLl7h06RIHDhygcuXKjBgxguPHj+Ph4cG7776b6typuhtLt27dmDZtGp6enhw/fpz8+fM/sH3kyJEjqX7xzER3YxERkfTg2NVjdFvUjeWHlwNQKV8lJjWbhF+e+6+7JSIi97qdlMyLI9Zx8Hwsb1QtyBfNSxkdSeS+nuQ8NDY2lkOH7lyeFRAQwLBhw6hbty45c+akQIEC9O3bl1OnTjFt2jTL+JIlS1KlShUGDhzIxYsX6dKlC7Vr12b8+PH3fY2QkJBH3o3l34oUKcLcuXMpW7Zsiv07duzglVde4ciRI2zYsIFXXnmFM2fOpGrOVF3GMm7cOF5++WUOHTrEW2+9RdeuXXFx0SrEIiIi6U1Bt4IsfW0pkyMm02dZHzaf2ky5ceXoV6sfH1b/EFtrXW8uIvIok/+O5uD5WHJms6NPQ10SKJnL1q1bqVu3ruVxnz59AOjQoQNTpkzhzJkzHD9+3PK8s7MzK1asoHfv3lSoUIFcuXLRunVrvvzyyzTLdObMGRITE+/Zn5iYyNmzZwHw8vLi+vXrqZ4zVZ0d/9axY0d+/PFHFTv+Q50dIiKS3pyKOUWPxT1YdGARAAEeAUxqPomyHmWNDSYiko6duXaT+kPXciMhie9a+tO6QurWBxAxQmY5D23cuDFnz55lwoQJBAQEAHe6Orp27YqHhweLFi3izz//5JNPPmH37t2pmvOxl2qfPHmypdBx4sQJTpw48bhTiIiIyHOQzzUfC9ss5NeXfiWnY052nN1BxfEV6bemHwlJCUbHExFJlwYtiuJGQhIVCuagZbmMe/IokpFMnDiRnDlzUr58eezt7bG3t6dChQrkzJmTiRMnAnc6TIYOHZrqOR+7syMxMZGBAwfy448/WhYocXZ2pnfv3vTv3/+x732bWWSWipqIiGRO52LP0euvXszdOxeAUnlKManZJCrmq2hwMhGR9GPtgQt0mLQZaysTi3rXoKTns7m7hUhayWznofv27ePAgQMAFC9enOLFiz/xXKlas+Pfevfuzbx58/juu++oWrUqABs3bmTAgAFcunSJMWPGPHEYEREReTbyOudlTus5zImaQ+jiUPac30OViVV4v+r7DKgzAEdbR6MjiogY6tbtJPr/sQeAkGqFVOgQMYCPjw8mk4kiRYpgY/PY5YoUHvsylhkzZjBlyhS6d++Ov78//v7+dO/enYkTJzJjxoynCiMiIiLPVkvflkT1iqJd6XYkm5P5bsN3BPwcwIYTG4yOJiJiqJ/XHuHopRvkcbHnnQYvGB1HJEu5ceMGnTt3xsnJCT8/P8sCqb179+bbb799ojkfu9hhb29PoUKF7tlfuHBh7OzsniiEiIiIPD+5nXIz/eXp/NHmDzydPdl/aT81JtXgnaXvEJcQZ3Q8EZHn7tilOEaF3bkV5+dNfHFxyJqX5osYpW/fvuzcuZOwsDAcHBws+xs0aMCsWbOeaM7HLna8+eabDBo0iPj4eMu++Ph4vvrqK958880nCiEiIiLPX7PizYgMjSSkbAhmzIzYNAL/sf6EHQ0zOpqIyHNjNpsZsDCShMRkahTNTRN/T6MjiWQ5CxYsYOTIkdSoUQOTyWTZ7+fnx+HDh59ozlRdBPPyyy+neLxy5Ury589PmTJlANi5cycJCQnUr1//iUKIiIiIMXI45mBy88m86vcqXf/sypErR6g7tS49K/RkcIPBuNjrVvMikrktjzrHmv0XsLU2MbC5X4oTLRF5Pi5cuECePHnu2R8XF/fE35OpKnZkz549xeNXXnklxWNvb917WkREJCMLKhpEZGgkH674kJ+3/cyYrWNYfHAx45uOp1GRRkbHExF5Jm4kJDJwYSQA3Wr5UMTd2eBEIllThQoVWLx4Mb179wawFDgmTJhguTHK40pVsWPy5MlPNLmIiIhkHK72roxtMpZWvq3o+mdXoq9GE/hrIJ3KdmJo4FDcHNyMjigikqZ+Wn2I09dukc/NkTfralFSEaN8/fXXBAcHExUVRWJiIiNGjCAqKooNGzawdu3aJ5rzsdfsEBERkcytvk99dvXcxVuV3sKEiUkRk/Ab7ceiA4uMjiYikmYOnb/O+PAjAAxs5oejnbXBiUSyrho1ahAREUFiYiKlS5dm+fLl5MmTh40bN1K+fPknmtNkNpvNjxoUEBCQ6utktm/f/kRBMrqTJ0/i7e3NiRMnyJ8/v9FxRERE0sT64+vp9EcnDl4+CMDr/q8zImgEOR1zGpxMROTJmc1m2o3fxMYjl2hQMg8TOlQ0OpLIE9F56IOl6jKWFi1aPOMYIiIikh7VKFCDnT120m9NP4b9M4xfd/3KisMrGN14NC+XfPnRE4iIpEMLd55m45FLONha0b+pn9FxRLKkmJiYVI91dXV97PlT1dkhj6aKmoiIZHabTm6i08JORF2IAqCVbytGvjiSPNnuXT1dRCS9unbjNvWHhXExNoH3GxXjzXpaq0Myrox8HmplZZXqK0iSkpIee/5UdXaYzWbdgklERCSLq5y/Mtu7bWdQ+CC+Xf8tv0f9zuro1fwU/BNtSrXRzwoikiEMXraPi7EJFM3jTNdaPkbHyVSSkpK4ffu20TEyHTs7O6ysMt9ym2vWrLH8+ejRo3z88ceEhIRY7r6yceNGpk6dyjfffPNE86eqs8PX15d+/frx8ssvY2dn98BxBw8eZNiwYRQsWJCPP/74kS8eHh7OkCFD2LZtG2fOnGH+/PkpLpkJCQlh6tSpKY4JDAxk6dKllsdfffUVixcvJiIiAjs7O65evXrvm7zPD18zZ86kTZs2lsdhYWH06dOHyMhIvL29+eyzzwgJCXnke7grI1fUREREHteOMzvo+EdHdp7bCUDz4s0Z03gMni6eBicTEXmwbceu8MqYDQDM6laFyj65DE6UOZjNZs6ePXvfczF5elZWVhQuXPi+5+KZ5Ty0fv36dOnShbZt26bYP2PGDMaNG0dYWNhjz5mqzo6ffvqJjz76iNDQUBo2bEiFChXw8vLCwcGBK1euEBUVxfr164mMjOTNN9+kZ8+eqXrxuLg4ypQpQ6dOnXj55ftf9xsUFJTi1rf29vYpnk9ISKBVq1ZUrVqViRMnPvC1Jk+eTFBQkOWxm5ub5c/R0dE0btyYHj16MH36dFatWkWXLl3w9PQkMDAwVe9FREQkKwnwDGBz180MXj+YQeGD+GP/H6w9tpYfAn+gQ5kO6vIQkXTndlIyn8zbDUCr8vlV6EhDdwsdefLkwcnJSf8GpKHk5GROnz7NmTNnKFCgQKb9bDdu3MjYsWPv2V+hQgW6dOnyRHOmqthRv359tm7dyvr165k1axbTp0/n2LFj3Lx5k9y5cxMQEMAbb7zBa6+9Ro4cOVL94sHBwQQHBz90jL29PR4eHg98fuDAgQBMmTLlofO4ubk9cJ6xY8dSuHBhhg4dCkDJkiVZv349P/zwg4odIiIiD2BnbcfntT+nRYkWdFrYia2nt9Lxj47MipzFuCbj8M7ubXREERGLieuj2X/uOjmz2fHJiyWNjpNpJCUlWQoduXKpgPQsuLu7c/r0aRITE7G1tTU6zjPh7e3N+PHj+e6771LsnzBhAt7eT/bzRKqKHXfVqFGDGjVqPNELPamwsDDy5MlDjhw5qFevHl9++eUTfRP16tWLLl264OPjQ48ePejYsaOlKrZx40YaNGiQYnxgYCDvvPPOA+eLj48nPj7e8vj69euPnckod69cyqxVQREReb5K5y3Nxs4bGfp/7N13dBT128bhz256IIXQQiD0GhJC6L0IUqUogiAqRaRaACsqFhTBQhHpHSwIKk2a9N5LCEnoPRBaIJ20zb5/oHl/KCiBkEm5r3P2HLM7M3svLmTn2Wee784xfLz5Y9acWkPlyZX5psU3vFLtFf2+ERHDXbwZz/j1JwB4v00l8uW5/6X5kj5/zehwdnY2OEnO9dflKxaLJccWO8aNG0enTp1YvXo1tWvXBmDv3r2cPHmS33777aGOmaWnnLRq1Yr58+ezYcMGvvzyS7Zs2ULr1q3TPYl1xIgRLFq0iHXr1tGpUycGDhzId999l/b4lStXKFy48F37FC5cmOjoaG7fvn3PY44aNQo3N7e0m4+PT/pfoAHO3ojj+Rl7WH74stFRREQkB7E12/Jug3cJ7B9I3WJ1iUmKod+KfjT/vjlnbp0xOp6I5GJWq5WPlgWTkJxKndIedKpW1OhIOZIK249PbvizbdOmDSdPnqR9+/bcvHmTmzdv0q5dO06cOEGbNm0e6pjp6uzIbP87QNTPz48qVapQpkwZNm/eTLNmzR74OMOHD0/774CAAOLi4vj66695/fXXHzrbsGHDGDp0aNrPly5dyhYFjxV/ril+4moMjcsXxN1ZVW0REck4FQtUZFuvbXy39zve3/A+G89uxG+KH6ObjWZQrUGYTVn6exYRyYFWB19h0/Hr2NuY+byjX644cRTJjooVK8bIkSMz7HjZ6hNH6dKlKVCgAKdOnXqk49SuXZuwsLC0y1A8PT25evXqXdtcvXoVV1dXnJyc7nkMBwcHXF1d024uLi6PlCmz9GtchnKF8hIRl8SoVceMjiMiIjmQjdmGwXUGEzQgiEYlGhGfHM/ra16n8dzGnIg4YXQ8EclFohOS+WR5CAD9m5ShbKG8BieS7GLz5s2YTKZ0rTDzySefULVq1ceWKae5cOFCura/dOlSurbPVsWOsLAwIiIiKFLk0Za1CwwMJF++fGkru9StW5cNGzbctc26devS1vfNSextzXzxjB8AC/dfZPeZCIMTiYhITlXWoyybemxiUptJ5LHLw/YL2/Gf6s83O7/Bkpq+S1JFRB7GmD+Ocy0mkVIF8jCwSRmj40gWtGvXLmxsbGjbtq3RUXKdmjVr0q9fP/bt23ffbaKiopgxYwa+vr7pnt1h6GUssbGxd3VpnD17lsDAQDw8PPDw8ODTTz+lU6dOeHp6cvr0ad555x3Kli171wopFy5c4ObNm1y4cAGLxUJgYCAAZcuWJW/evPz+++9cvXqVOnXq4OjoyLp16/jiiy9466230o7Rv39/Jk6cyDvvvEPv3r3ZuHEjixYtYuXKlZn2Z5GZapb0oFut4izYe4H3lxxh9RsNcbC1MTqWiIjkQGaTmYE1B9KmXBte+f0V1p9Zz9vr3uaX0F+Y02EOPgWz/iWgIpI9Hb4Yyfzd5wH4rIMvjnb6vCv/NGvWLF577TVmzZrF5cuX8fLyMjpSrhEaGsrIkSN58skncXR0pHr16nh5eeHo6MitW7cIDQ0lJCSEatWq8dVXX6V7dke6OztsbGy4du3aP+6PiIjAxiZ9/4Ds37+fgIAAAgICABg6dCgBAQF89NFH2NjYEBQURPv27Slfvjwvv/wy1atXZ9u2bWkdGQAfffQRAQEBfPzxx8TGxqYdb//+/QDY2dkxadIk6tatS9WqVZk2bRpjx47l448/TjtGqVKlWLlyJevWrcPf358xY8Ywc+bMHL3s7HutK1LQxYEz1+OYvOm00XFERCSHK+lekrUvrGVGuxm4Oriy99JeAqYF8MW2L0i2JBsdT0RymBRLKsMWH8FqhacDitKgXAGjI0kWFBsby8KFCxkwYABt27Zl7ty599127ty5uLu7s3TpUsqVK4ejoyMtW7bk4sWL/9j2+++/p2TJkri5udG1a9e7Vu5cs2YNDRo0wN3dnfz58/PUU09x+nTuPB/Lnz8/Y8eOJTw8nIkTJ1KuXDlu3LjByZMnAejevTsHDhxg165dDzWk1GT9ax3SB2Q2m7ly5QqFChW66/7Lly9TpkyZ+65ektOFhYXh7e3NxYsXKVasmNFxHsiKoMu8+tMh7G3MrHqjAWULZY+5IyIikr2FRYfRb0U/Vp1cBUCAZwBzOszB39Pf4GQiklPM3HaGz1cexc3Jjg1vNqZAXof/3kkeSkJCAmfPnqVUqVI4OjpitVqJT443JIuznXO6BtDOnj2bKVOmsG/fPlasWMHgwYM5efIkJpOJzZs307RpU27duoW7uztz586lb9+++Pv7M2HCBOzt7Rk4cCC2trbs2LEDuDOzY8yYMbRo0YJPP/2UW7du0aVLF3r37p02ePO3337DZDJRpUoVYmNj+eijjzh37hyBgYGYzffuRfj7n/H/yo7noZnlgS9jmTBhAnBn2ZuZM2eSN+//D/exWCxs3bqVihUrZnxCeWza+hXhtwphbDp+nfcXB/Nz3zqYzZpOLSIij1cx12Ks6LaCH4J+4I01b3DoyiFqzKjBBw0/4P2G72Nvo5XCROThXYq8zdh1d4Yhv9e6ogodmSw+OZ68o4wZBBs7LJY89nkeePtZs2bxwgsvANCqVSuioqLYsmULTZo0uef2ycnJTJw4kdq1awMwb948KlWqxN69e6lVqxYAqampzJ07N20BixdffJENGzakFTs6dep01zFnz55NwYIFCQ0NxdfXN12vV/7dAxc7xo0bB9xZp3rq1Kl3XbJib29PyZIlmTp1asYnlMfGZDLxWUdfnhy7lb3nbrJo/0W61ipudCwREckFTCYTL/q/SPPSzRm4aiBLjy3l0y2fsvjoYuZ0mEN1r+pGRxSRbMhqtfLhkiPEJ1moUSIfz9XwNjqSZFHHjx9n7969LFmyBABbW1uee+45Zs2add9ih62tLTVr1kz7uWLFiri7u3P06NG0YkfJkiXvWqmzSJEid42BOHnyJB999BF79uzhxo0bpKamAndmUarYkbEeuNhx9uxZAJo2bcrixYvJly/fYwslmadYPmfebFGez1ce5YtVR2lWqTAFXVT9FhGRzFHEpQiLuyxmUcgiXl39KkeuHaH2zNq8Xe9tPm7yMY62jv99EBGRP/0eFM6m49extzEzupOfupYN4GznTOywWMOe+0HNmjWLlJSUuwaSWq1WHBwcmDhx4kNnsLOzu+tnk8mUVtAAaNeuHSVKlGDGjBl4eXmRmpqKr68vSUlJD/2ccm/pHlC6adOmuwodf62AcuvWrQwNJpmnZ72S+BZ1JTohhRErQo2OIyIiuYzJZOI53+cIHRjKc5Wfw2K1MHrHaAKmBbDr4i6j44lINnErLolPl4cAMKhpWc2jM4jJZCKPfR5Dbg86ryMlJYX58+czZswYAgMD026HDx/Gy8uLBQsW3He/vxbCgDvdIZGRkVSqVOmBnjciIoLjx4/z4Ycf0qxZMypVqqTz6Mco3cWOwYMHM2vWLOBOoaNRo0ZUq1YNb29vNm/enNH5JBPY2pgZ9XQVzCb4/fBlNh//52o7IiIij1vBPAX5+dmfWfLcEjzzenLsxjHqz67P0D+GGjbsTkSyj5GrjhIRl0S5QnkZ0KSM0XEkC1uxYgW3bt3i5ZdfxtfX965bp06d0s53/87Ozo7XXnuNPXv2cODAAXr27EmdOnXSLmH5L/ny5SN//vxMnz6dU6dOsXHjRoYOHZqRL03+R7qLHb/88gv+/nempf/++++cO3eOY8eOMWTIED744IMMDyiZw6+YG73qlwLgw6XBxCelGJxIRERyq44VOxIyMISX/F/CipVxu8dRZUoVtpzbYnQ0Ecmidpy6wa8HwjCZYHSnKtjbpvs0R3KRWbNm0bx5c9zc3P7xWKdOndi/fz9BQUH/eMzZ2Zl3332X559/nvr165M3b14WLlz4wM9rNpv5+eefOXDgAL6+vgwZMoSvv/76kV5LThMaGsqaNWtYvnz5XbeHke6lZx0dHTl16hTFihWjb9++ODs7M378eM6ePYu/vz/R0dEPFSS7ywlL/sQlptBi3FYuRd6mb6PSvN/mwdqxREREHpdVJ1fR9/e+XIq5BMCgmoMY3Xw0ee2NmfQvIlnP7SQLrb7dyvmIeF6qW4IRHTTkMTP927KoOcncuXMZPHgwkZGRmf7cuWHp2TNnzvD0009z5MgRTCYTf5Up/ro0yWKxpPuY6S55Fi5cmNDQUCwWC2vWrOHJJ58EID4+/q4VWiT7yeNgy4gOlQGYtf0swZeiDE4kIiK5XZtybQgZGMIr1V4BYNK+SfhO9mX9mfUGJxORrGL8hhOcj4jH09WRt1tWMDqOiDyEN954g1KlSnHt2jWcnZ0JCQlh69at1KhR46HHZaS72NGrVy+6dOmCr68vJpOJ5s2bA7Bnzx4qVqz4UCEk62hWqTBt/YpgSbXy7m9BpFhS/3snERGRx8jN0Y3p7aaz7sV1lHArwfmo8zz5/ZO8svwVohJUmBfJzYIvRTFz251VIz/r6IuLo91/7CEiWdGuXbsYMWIEBQoUwGw2YzabadCgAaNGjeL1119/qGOmu9jxySefMHPmTPr27cuOHTtwcLizTKmNjQ3vvffeQ4WQrOWT9pVxc7Ij5HI0M/785SEiImK05qWbEzwwmEE1BwEw89BMfKf4svrkaoOTiYgRUiypDFt8BEuqlbZ+RXjSp7DRkSQH69mzpyGXsOQWFosFF5c7KygVKFCAy5cvA1CiRAmOHz/+UMd8qMk9zz77LEOGDLnrmqAePXrQoUOHhwohWUtBFweGP+UDwLj1Jzhz3Zh1skVERP4ur31eJraZyJaeWyiTrwxh0WG0+akNPZb24Obtm0bHE5FMNHfnOY5cisLV0ZaP2/sYHUdEHoGvry+HDx8GoHbt2nz11Vfs2LGDESNGULp06Yc6pm16dxgxYsS/Pv7RRx89VBDJWjpVK8qywEtsO3mD9xYf4edX6mA2P9i61SIiIo9boxKNCBoQxPCNwxm3exzzD89n7em1TG07lQ4V9eWLSE538WY8Y9aeAOCDtpUo5JJzB2OK5AYffvghcXFxwJ2aw1NPPUXDhg3Jnz9/ula8+V/pXo0lICDgrp+Tk5M5e/Ystra2lClThoMHDz5UkOwup0zB/V8Xb8bTcvxW4pMsfN7RlxfqlDA6koiIyD/suriL3st7c+zGMQC6+nblu9bfUcC5gMHJRORxsFqtvDR7L9tO3qBOaQ8WvFInbcUGyXx/rRRSokQJnJ2djY6TI92+fZtz587l6NVY7uXmzZvky5fvof9+p7uz49ChQ/+4Lzo6mp49e/L0008/VAjJmrw9nHmrRQVGrAhl9OpjNKtUiCJuTkbHEhERuUtd77oc6neITzd/ylc7v+Ln4J/ZcGYDE9tMpLNPZ50EieQwS//sPra3NTPqmSr6O24we3t7zGYzly9fpmDBgtjb2+v/SQayWq1cv34dk8mEnV3uGsDr4eHxSPunu7Pjfo4cOUK7du04d+5cRhwu28mpFTVLqpVnp+7k0IVImlUsxMweNfSPl4iIZFn7L++n17JeBF8LBuCZSs8wqc0kPPN6GpxMRDLC9ZhEnhy3hcj4ZN5uWYFBTcsaHUmApKQkwsPDiY+PNzpKjmQymShWrBh58+b9x2M55Tw0Li6O0aNHs2HDBq5du0Zq6t2rgp45cybdx0x3Z8f9REVFERWl5d9yGhuziS87VaHthG1sOHaN34PCae/vZXQsERGRe6rhVYMDfQ/wxbYvGLltJIuPLmbzuc182+pbuvt1V8FeJJv7eHkwkfHJ+BRxpW+jhxtaKBnP3t6e4sWLk5KSgsViMTpOjmNnZ4eNjY3RMR6rPn36sGXLFl588UWKFCmSIb+v013smDBhwl0/W61WwsPD+f7772nduvUjB5Ksp3xhF15tWo5x60/w6fIQGpQtgEcee6NjiYiI3JO9jT2fNPmEpys+Ta9lvTh05RAvLnmRhSELmdp2KkVdixodUUQewuoj4aw6cgVbs4mvO1fBzuahFpaUx+Svyyxy26UWkjFWr17NypUrqV+/foYdM93FjnHjxt31s9lspmDBgvTo0YNhw4ZlWDDJWgY0KcOqI+EcvxrDZytCGfdcVaMjiYiI/Ct/T3/29NnDVzu+YsTWEaw4sQKf8z6MbTGW3gG91eUhko1ExicxfFkIAP0bl6Gyl5vBiUQkI+XLl++RZ3T8XYbN7Mjtcsq1Uv8m8GIkz0zeQaoV5vaqSZMKhYyOJCIi8kBCroXQe3lv9l7aC8CTpZ9kRrsZlHDXSmMi2cHQRYEsPniJsoXysvL1BjjY5uyWfpEHlVPOQ3/44QeWLVvGvHnzMmxVn3QVO5KTk3FyciIwMBBfX98MCZBT5JQ32X/5bEUos7afpai7E38MaURehwwb+yIiIvJYpaSmMH73eIZvGk5CSgJ57fPyVfOv6FejH2aT2uFFsqpNx67Ra+4+TCb4bUA9qhXPZ3QkkSwjO5+HBgQE3NVleerUKaxWKyVLlvzH5VAHDx5M9/HTdaZqZ2dH8eLFNXQmF3uzRXnWhl7h4s3bfLXmGCM6qOglIiLZg63ZlrfqvUX7Cu3pvaw3Oy7uYOCqgSwKXcTMdjMp41HG6Igi8jcxCcm8v+QIAC/XL6VCh0gO0rFjx8d6/HRfxjJr1iwWL17M999/n+HX1GRn2bmill47Tt2g+8w9APzctw51Suc3OJGIiEj6WFItTNw7kfc3vk98cjzOds588cQXvFrrVWzMao8XySreX3KEn/ZcoER+Z9a80Qgne/39FPlfuek8NL3SXewICAjg1KlTJCcnU6JECfLkyXPX4w/TXpIT5LY32bDFQSzYe5ES+Z1Z/UZDnO11OYuIiGQ/p2+eps/vfdh8bjMA9bzrMbv9bCoUqGBsMBFh5+kbPD/jzhdsC16pQ90y+oJN5O9y2nno/v37OXr0KAA+Pj5Ur179oY+V7jPUx91qItnD+20qseX4dc5HxPP1H8f5uF1loyOJiIikWxmPMmx4aQPTD0zn7XVvs/PiTvyn+jOi6QiG1h2KrVnFfBEjxCel8N5vdy5f6V67uAodIjlcWFgY3bp1Y8eOHbi7uwMQGRlJvXr1+Pnnnx+qkKPVWDJITquoPYgtJ67TY/ZeTCZY1K8uNUvqsiYREcm+LkRd4JXfX2Ht6bUA1PSqyZwOc6hcSAV9kcz211B8LzdH/hjSCBdHu//eSSQXyinnoa1atSIyMpJ58+ZRocKd7srjx4/Tq1cvXF1dWbNmTbqP+dCjx5OSkggLC+PChQt33ST3aFy+IF1qFMNqhXd+DeJ2kgbXiohI9lXcrThruq9hdvvZuDm4se/yPgKmBfD51s9JtiQbHU8k1zhw/hazd5wF4Itn/FToEMkFtmzZwpQpU9IKHQAVKlTgu+++Y+vWrQ91zHQXO06cOEHDhg1xcnKiRIkSlCpVilKlSlGyZElKlSr1UCEk+/qgrQ+ero6cvRHHmLXHjY4jIiLySEwmE70CehEyMISnyj9FcmoywzcNp9bMWgReCTQ6nkiOl5Bs4d3fgrBaoVO1YjSpUMjoSCKSCby9vUlO/ucXCxaLBS8vr4c6ZrqLHb169cJsNrNixQoOHDjAwYMHOXjwIIcOHcq1w0lzMzcnO0Y94wfArB1nOXD+psGJREREHl1R16Is77qcH57+AQ8nDwKvBFJzRk0+2vQRSZYko+OJ5Fjj15/k1LVYCuR1YPhTlYyOIyKZ5Ouvv+a1115j//79afft37+fN954g2+++eahjpnumR158uThwIEDVKxY8aGeMKfKKddKPaw3Fx3mt4NhlC6Yh1WvN8TRTsuCiYhIznAl9gqDVg1i8dHFAPgW8mVOhznU8KphcDKRnOXghVs8O2UnqVaY/mJ1WlT2NDqSSJaXU85D8+XLR3x8PCkpKdja3hkO/td//30F2Js3H+wL9nSPGPfx8eHGjRvp3U1yuI+e8mHbyeucuR7HuHUnGNZGlXgREckZPPN68luX3/gl5BcGrRpE8LVgas+szdv13uaTJp/gaOtodESRbC8h2cJbvxwm1QrPBBRVoUMklxk/fnyGH/OBOjuio6PT/nv//v18+OGHfPHFF/j5+WFnd/fAIFdX1wwPmR3klIrao1gfepU+8/djNsGvA+pRrXg+oyOJiIhkqBvxN3h99essCF4AQIX8FZjdYTb1vOsZnEwkexu5MpQZ285SyMWBdUMa4+asoaQiD0Lnoff3QMUOs9mMyWRK+9lqtd718//eZ7HkzhU59Ca7Y+jCQBYfukSZgnlYqctZREQkh1p2bBkDVg4gPDYcEyYG1xnM5098jrOds9HRRLKd/edu0nnaLqxWmNWjBs0qFTY6kki2kZ3PQ/+3qeK/PExTxQNdxrJp06Z0H1hyp4/a+bDt1A1OX4/j2w0nebeVZruIiEjO06FiBxqVaMSQP4Yw7/A8xu0ex/Ljy5nVfhaNSzY2Op5ItnE76c7lK1YrPFu9mAodIrmIu7v7P5oo/u5RmioeqNjRuHFjRowYwVtvvYWzs76xkPtzd7ZnZEdf+n5/gGlbTtOysidVvd2NjiUiIpLh8jnlY27HuTxX+Tn6rujL6VunaTKvCYNqDmJ089Hktc9rdESRLO+rP45xLiIeT1dHhj/lY3QcEclEj7up4oFXY7GxsSE8PJxChbTW9b1k5/ahx+GNnw+xLPCyLmcREZFcISohinfWvcP0g9MBKOlekhntZtC8dHODk4lkXXvORPDc9N0AzO1VkyYVdJ4hkl654Tw0ODgYX1/fdO9nftAN07lCreRyn7avTCEXB05fj+PrP44bHUdEROSxcnN0Y1q7aax/cT0l3UtyLvIcT37/JH1/70tUQpTR8USynPikFN7+NQiArjW9VegQkbvExMQwffp0atWqhb+//0Md44GLHcB/Xk8j8hd3Z3u+7FQFgNk7zrL7TITBiURERB6/ZqWbcWTAEV6t+SoAMw7OwHeKL6tPrjY4mUjW8uXqY1y4GY+XmyMftK1kdBwRySK2bt1Kjx49KFKkCN988w1PPPEEu3fvfqhjpavYUb58eTw8PP71JvKXphUL0bWmN1YrvP3rYWITU4yOJCIi8tjltc/Ld22+Y0vPLZTJV4aw6DDa/NSGnkt7cuv2LaPjiRhu5+kbzNt1HoCvnvXHxVHLzIrkZleuXGH06NGUK1eOzp074+rqSmJiIkuXLmX06NHUrFnzoY77QANK//Lpp5/i5ub2UE8kudMHbSux7eQNLt68zciVRxn1jJ/RkURERDJFoxKNCBoQxPCNwxm3exzzDs/jj9N/MLXtVDpU7GB0PBFDxCam8M6fl690r12cBuUKGJxIRIzUrl07tm7dStu2bRk/fjytWrXCxsaGqVOnPvKxH3hAqdls5sqVKxpQeh+5YTDMw9p5+gbPz9gDaPiUiIjkTrsu7qL38t4cu3EMgG6+3ZjQegIFnHWiJ7nL+0uO8NOeCxTL58SawY3I65Cu715F5G+y+3mora0tr7/+OgMGDKBcuXJp99vZ2XH48GF8fB5+laYHvoxF8zrkYdUrU4Be9UsC8O5vQUTFJxsbSEREJJPV9a7LoX6HeK/+e5hNZhYEL8Bnkg+/hPxidDSRTLPp2DV+2nMBgK+eraJCh4iwfft2YmJiqF69OrVr12bixIncuHEjQ46t1VgkU7zTsiKlC+ThanQin/weYnQcERGRTOdo68io5qPY02cPvoV8uR5/nS6/duHZRc9yNfaq0fFEHqtbcUm889udy1d61y9FvTLqahIRqFOnDjNmzCA8PJx+/frx888/4+XlRWpqKuvWrSMmJuahj/3AxY7U1FRdwiIPzcnehm+6+GM2wZJDl1gTHG50JBEREUPU8KrB/lf2M7zRcGzNtvx29Dd8JvvwY9CP+nJJciSr1cqHS4O5HpNI2UJ5eadVBaMjiUgWkydPHnr37s327ds5cuQIb775JqNHj6ZQoUK0b9/+oY6ZrtVYRB5FteL56N+4DADvLwnmRmyiwYlERESM4WDrwIimI9j3yj6qelbl5u2bvLDkBTr83IHLMZeNjieSoZYfvszKI+HYmk2M61IVRzsboyOJSBZWoUIFvvrqK8LCwliwYMFDH0fFDslUbzQvR0VPF27GJfH+4iP6BktERHK1qp5V2dtnL581/Qw7sx2/n/gdn0k+zDk0R78jJUcIj7rN8KXBALz2RDn8imllRxF5MDY2NnTs2JHly5c/1P4qdkimcrC1YWyXqtjZmFgbepUlhy4ZHUlERMRQdjZ2fNjoQw72O0hNr5pEJUbRe3lvWv/YmgtRF4yOJ/LQUlOtvP1LENEJKfh7uzOoaRmjI4lILqJih2Q6Hy9X3mh2Z1mhj5eHcCnytsGJREREjOdbyJedL+/ky+Zf4mDjwB+n/8B3si/T9k9Tl4dkS9/vPs/2UzdwtDMztos/tjY69RCRzKN/ccQQ/RuXIaC4OzEJKby5KJDUVH2IExERsTXb8k79dzjc/zD1vOsRkxRD/5X9af59c87cOmN0PJEHdvp6LKNWHwVgWOtKlCmY1+BEIpLbqNghhrC1MTOuS1Wc7W3YfeYmM7frA5yIiMhfKhSowNaeWxnXchxOtk5sPLsRvyl+fLfnO1KtqUbHE/lXKZZUhi4MJCE5lYblCvBinRJGRxKRXEjFDjFMyQJ5GP6UDwDf/HGCo+HRBicSERHJOmzMNgyuM5gjA47QuERj4pPjeX3N6zSZ24STESeNjidyX5M2neZwWBSujrZ89WwVzGaT0ZFEJBdSsUMM1bWmN80rFSbJksrgnwNJSLYYHUlERCRLKeNRho09NjKpzSTy2OVh24VtVJlahTE7x2BJ1e9NyVqCwiKZsPFOMe6zjr4UcXMyOJGI5FYqdoihTCYTozv5USCvPcevxvDNH8eNjiQiIpLlmE1mBtYcSPDAYJqXbk5CSgJvrXuLBnMacPT6UaPjiQCQkGxhyMJALKlW2voVob2/l9GRRCQXU7FDDFcgrwNfdqoCwMztZ9l56obBiURERLKmku4lWfvCWma0m4Grgyu7w3YTMC2A0dtHk5KaYnQ8yeVGrTrK6etxFHRx4POOvphMunxFRIyjYodkCc0qFaZbreIAvPnLYaLikw1OJCIikjWZTCb6VOtDyMAQ2pRrQ6IlkWEbhlFnZh2OXD1idDzJpTYdu8a8XecB+KazP/ny2BucSERyOxU7JMsY/lQlShXIQ3hUAsOXBRsdR0REJEsr5lqMFd1WMK/jPNwd3TkQfoDq06szYssIki360kAyz43YRN7+9TAAveqXpHH5ggYnEhFRsUOyEGd7W8Y9VxUbs4nlhy+zLPCS0ZFERESyNJPJxEv+LxE6MJSOFTuSnJrMx5s/puaMmhwKP2R0PMkFrFYr7/waxI3YJCoUduHdVhWNjiQiAqjYIVlMVW93XnuiLAAfLg3mUuRtgxOJiIhkfUVcirC4y2IWdFpAfqf8HL56mJozavLhxg9JTEk0Op7kYD/sucDGY9ewtzXzbbeqONrZGB1JRP7D1q1badeuHV5eXphMJpYuXfqf+yQmJvLBBx9QokQJHBwcKFmyJLNnz057fMaMGTRs2JB8+fKRL18+mjdvzt69ex/jq/hvKnZIlvNq07JU9XYnJiGFtxYdJjXVanQkERGRLM9kMtHVtyuhg0Lp7NMZi9XCyG0jqT69OnsvGfuBU3KmU9di+HxFKADvtqpIRU9XgxOJyIOIi4vD39+fSZMmPfA+Xbp0YcOGDcyaNYvjx4+zYMECKlSokPb45s2b6datG5s2bWLXrl14e3vTokULLl0yrlvfZLVadSaZAcLCwvD29ubixYsUK1bM6DjZ3tkbcbT5dhu3ky0Ma12Rfo3LGB1JREQkW/kt9DcGrhrItbhrmE1m3qz7Jp82+RQnOyejo0kOkJSSytOTdxByOZqG5Qowr1ctzGatviKS2f46Dw0NDaVo0aJp9zs4OODg4PCf+5tMJpYsWULHjh3vu82aNWvo2rUrZ86cwcPD44FyWSwW8uXLx8SJE3nppZceaJ+Mps4OyZJKFcjDR+18APhm7XGOhEUZnEhERCR76eTTidCBoXT3606qNZWvd35N1WlV2Xlxp9HRJAcYs+44IZejyedsx5jO/ip0iBjMx8cHNze3tNuoUaMy7NjLly+nRo0afPXVVxQtWpTy5cvz1ltvcfv2/UcOxMfHk5yc/MDFkcdBxQ7JsrrW9KZVZU+SLVZe//kQcYkpRkcSERHJVvI75+eHZ35gedfleLl4cSLiBA1mN2DImiHEJcUZHU+yqZ2nbzB96xkARneqQiFXR4MTiUhoaChRUVFpt2HDhmXYsc+cOcP27dsJDg5myZIljB8/nl9//ZWBAwfed593330XLy8vmjdvnmE50svQYsd/DUbp2bMnJpPprlurVq3u2mbkyJHUq1cPZ2dn3N3d//X5IiIiKFasGCaTicjIyLse27x5M9WqVcPBwYGyZcsyd+7cR3+B8khMJhOjO/lRxM2RszfiGPF7qNGRREREsqV2FdoRMjCEXlV7YcXK+D3j8Z/qz5ZzW4yOJtlMZHwSQxcexmqFbrW8aVnZ0+hIIgK4uLjg6uqadnuQS1geVGpqKiaTiR9//JFatWrRpk0bxo4dy7x58+7Z3TF69Gh+/vlnlixZgqOjccVQQ4sdDzIYpVWrVoSHh6fdFixYcNfjSUlJdO7cmQEDBvzn87388stUqVLlH/efPXuWtm3b0rRpUwIDAxk8eDB9+vThjz/+SP+Lkgzl7mzPuOeqYjLBwv0XWRkUbnQkERGRbMnd0Z3ZHWazuvtqirkW4/St0zSZ14RBKwcRkxhjdDzJBqxWKx8sCeZKdAKlC+Rh+FM+RkcSkUxQpEgRihYtipubW9p9lSpVwmq1EhYWdte233zzDaNHj2bt2rX3PPfOTIYWO1q3bs3nn3/O008/fd9tHBwc8PT0TLvly5fvrsc//fRThgwZgp+f378+15QpU4iMjOStt976x2NTp06lVKlSjBkzhkqVKvHqq6/y7LPPMm7cuId7YZKh6pTOz6Amd5ajHbY4SMvRioiIPIJWZVsRMjCEvtX6AjB5/2T8pvix/sx6g5NJVvfbwUusPBKOrdnE+K5Vcba3NTqSiGSC+vXrc/nyZWJjY9PuO3HiBGaz+a7FOb766is+++wz1qxZQ40aNYyIepcsP7Nj8+bNFCpUiAoVKjBgwAAiIiLSfYzQ0FBGjBjB/PnzMZv/+ZJ37dr1j2uJWrZsya5du+57zMTERKKjo9NuMTH6RuRxeqN5Oap6uxOdkMKQnwOxaDlaERGRh+bq4Mq0dtNY/+J6SrqX5HzUeZ78/kleWf4KUQkaCi7/dOZ6LB8tCwZgyJPlqVLM3dhAIvLQYmNjCQwMJDAwELhzpUNgYCAXLlwAYNiwYXetoPL888+TP39+evXqRWhoKFu3buXtt9+md+/eODndWeHryy+/ZPjw4cyePZuSJUty5coVrly5cleBJLNl6WJHq1atmD9/Phs2bODLL79ky5YttG7dGovF8sDHSExMpFu3bnz99dcUL178nttcuXKFwoUL33Vf4cKFiY6Ovu+E2VGjRt017dbHR218j5OdjZkJXQPI62DL3nM3mbzplNGRREREsr1mpZtxZMARXq35KgAzD83Ed4ovq0+uNjiZZCWJKRZe//kQ8UkW6pT2oH/jMkZHEpFHsH//fgICAggICABg6NChBAQE8NFHHwEQHh6eVvgAyJs3L+vWrSMyMpIaNWrQvXt32rVrx4QJE9K2mTJlCklJSTz77LMUKVIk7fbNN99k7ov7H1m696xr165p/+3n50eVKlUoU6YMmzdvplmzZg90jGHDhlGpUiVeeOGFDM02bNgwhg4dmvbzpUuXVPB4zIrnd+azjpUZsvAw4zecpF7ZAlQvke+/dxQREZH7ymufl+/afEfnyp3pvaw3p2+dps1Pbejh34NxLceRz0m/a3O7r9YcJ/jSnWVmxz8XgI2WmRXJ1po0aYLVev9O+Xst1lGxYkXWrVt3333OnTuXAckyVpbu7Pi70qVLU6BAAU6devBv9Tdu3Mgvv/yCra0ttra2aUWSAgUK8PHHHwPg6enJ1atX79rv6tWruLq6prXl/J2Dg8Nd025dXFwe8lVJejwdUIyOVb2wpFp54+dDRCckGx1JREQkR2hUohFBA4IYUmcIJkzMOzwPn8k+LDu2zOhoYqBNx64xa/tZAL5+1h9PNy0zKyLZQ7YqdoSFhREREUGRIkUeeJ/ffvuNw4cPp12TNHPmTAC2bdvGoEGDAKhbty4bNmy4a79169ZRt27djAsvGWZER1+8PZwIu3WbD5cE/2tVUkRERB6cs50zY1uOZXvv7VTIX4ErsVfouLAjz//2PDfibxgdTzLZtegE3vrlMAA965WkuU/h/9hDRCTrMLTY8W+DUWJjY3n77bfZvXs3586dY8OGDXTo0IGyZcvSsmXLtGNcuHAhbR+LxZJ2vL8GoZQpUwZfX9+0W6lSpYA7S+UUKlQIgP79+3PmzBneeecdjh07xuTJk1m0aBFDhgzJ3D8QeSCujv/fQrn88GWWHLpkdCQREZEcpZ53PQL7B/Ju/Xcxm8wsCF6AzyQffgn5xehokklSU60MWRRIRFwSPkVcGdamotGRRETSxdBix78NRrGxsSEoKIj27dtTvnx5Xn75ZapXr862bdtwcHBIO8ZHH31EQEAAH3/8MbGxsWnH279//wPnKFWqFCtXrmTdunX4+/szZswYZs6ceVdRRbKW6iXyMbhZOQCGLw3m7I04gxOJiIjkLI62joxuPprdL++mcsHKXI+/Tpdfu/Dsome5Gnv1vw8g2dqULafZcSoCJzsbvns+AAdbG6MjiYiki8mqawAyRFhYGN7e3ly8ePGutYbl8bGkWnl+xm72nL2JTxFXFg+sh6OdfhGLiIhktMSUREZuG8mo7aNISU0hv1N+JrSeQDffbphMGlaZ0xy8cIvOU3dhSbXy1bNV6FLD2+hIInIfOg+9v2w1s0Pkf9mYTXzbNQCPPPaEhkczatVRoyOJiIjkSA62DoxoOoJ9r+yjqmdVIm5H0H1xdzou7Eh4TLjR8SQDRd1O5vUFh7CkWmnv70Xn6jp5EpHsScUOydY83RwZ09kfgHm7zrMm+IrBiURERHKuqp5V2dtnLyOajMDObMfy48vxmezDvMB5GhieA1itVt5fcoSwW7fx9nBi5NO+6twRkWxLxQ7J9ppWLETfRqUBeOfXw4Tdijc4kYiISM5lZ2PH8MbDOdD3ADW8ahCZEEnPZT1p+1NbwqLDjI4nj2DR/ousDArH1mziu27VcHG0MzqSiMhDU7FDcoS3WlSgqrc70QkpvLbgEMmWVKMjiYiI5Gh+hf3Y9fIuRjcbjYONA6tPraby5MrMODBDXR7Z0MmrMXyyPBSAt1re+VwlIpKdqdghOYK9rZnvugXg4mjLoQuRjFl7wuhIIiIiOZ6t2ZZ3G7zLoX6HqFOsDtGJ0fRd0ZcWP7TgXOQ5o+PJA4pPSmHgjwe5nWyhYbkC9G1Y2uhIIiKPTMUOyTG8PZz5qlMVAKZuOc3m49cMTiQiIpI7VCpYie29tjOmxRgcbR1Zf2Y9vpN9mbR3EqlWdVtmdR8vC+HktVgKuTgw7rmqmM2a0yEi2Z+KHZKjtPYrwot1SgDw5qLDXI1OMDiRiIhI7mBjtmFo3aEE9Q+iYfGGxCXH8erqV3li3hOcvnna6HhyH78eCOOXA2GYTfBt1wAK5HUwOpKISIZQsUNynA/aVqJSEVci4pIY/HMgllRdNywiIpJZyuUvx+aem5nQagLOds5sOb8Fvyl+jN89Hkuqxeh48j9OXo1h+NJgAIY0L0/dMvkNTiQiknFU7JAcx9HOhonPB+Bsb8OuMxFM3HjK6EgiIiK5itlk5rXar3FkwBGalmzK7ZTbDPljCI3mNuL4jeNGxxP+OadjYNOyRkcSEclQKnZIjlSmYF4+7+gLwLcbTrDrdITBiURERHKf0vlKs/6l9UxpO4W89nnZeXEnVadV5esdX6vLw2B/n9NhozkdIpLDqNghOdYz1YrRqVoxUq3w2oJDXIvR/A4REZHMZjaZ6V+jPyEDQ2hRpgUJKQm8s/4dnvz+SS7HXDY6Xq6kOR0ikhuo2CE52mcdK1O+cF5uxCby+oJDpFg0EV5ERMQIxd2Ks6b7Gma2m4mznTObzm3Cf6o/K0+sNDparqI5HSKSW6jYITmas70tk7tXw9neht1nbjJu/QmjI4mIiORaJpOJl6u9zMG+B6nqWZUb8Td4asFTDFkzhMSURKPj5Xia0yEiuYmKHZLjlS3kwqhn/ACYtOk0m45dMziRiIhI7lahQAV2v7yb12u9DsD4PeOpN7seJyL0pcTj9JHmdIhILqJih+QKHaoW5cU6JQAYsiiQS5G3DU4kIiKSuznYOvBt629Z3nU5+Z3yczD8INWmVWP+4flGR8uRfj0Qxq9/zumY0E1zOkQk51OxQ3KND5+qRJVibkTGJzPox4MkpWh+h4iIiNHaVWjH4f6HaVyiMXHJcfRY2oMXl7xITGKM0dFyjKPh0Xy49AgAQ58sT53SmtMhIjmfih2SazjY2jDp+Wq4OtoSeDGSL1YdNTqSiIiIAEVdi7LhpQ2MaDICs8nMD0E/UGVqFTae3Wh0tGwvOiGZAT8cICE5lUblCzKwieZ0iEjuoGKH5CreHs6M7VIVgLk7z7EyKNzYQCIiIgKAjdmG4Y2Hs6XnFoq7Fedc5DmazW/GgBUD1OXxkKxWK28tOsy5iHiKujvx7XNVMWtOh4jkEip2SK7T3Kcw/RqXBuDd34I4cz3W4EQiIiLylwbFGxA8IJj+1fsDMPXAVHyn+LL+zHqDk2U/07eeYW3oVextzEzuXo18eeyNjiQikmlU7JBc6e0WFahV0oPYxDtLsCUkW4yOJCIiIn9ycXBhylNT2PDSBkq5l+JC1AWe/P5J+v7el6iEKKPjZQu7Tkfw5ZpjAHzc3gd/b3djA4mIZDIVOyRXsrUx893zARTIa8+xKzEMXxpsdCQRERH5mydKPUHQgCBerfkqADMOzsB3ii9rTq0xOFnWdjU6gdcWHCLVCs9UK8rztYobHUlEJNOp2CG5VmFXR77tGoDJBL8cCGPB3gtGRxIREZG/yWufl+/afMeWnlsok68MYdFhtP6xNb2X9SYyIdLoeFlOsiWVV386yI3YRCp6ujCyox8mk+Z0iEjuo2KH5Gr1yxbgrRYVAPh4WQiBFyONDSQiIiL31KhEI4IGBDG49mBMmJgTOIfKkyuz8sRKo6NlKV+uPsa+c7dwcbBlygvVcbK3MTqSiIghVOyQXG9A4zI86VOYJEsqA384QERsotGRRERE5B6c7ZwZ12oc23pto3z+8lyOucxTC57ipSUvcfP2TaPjGW7VkXBmbj8LwDdd/ClVII/BiUREjKNih+R6ZrOJMV38KV0gD5ej7lzjmmJJNTqWiIiI3Ef94vUJ7BfIW3Xfwmwy833Q91SeXJllx5YZHc0wp6/H8vYvhwHo17g0LSt7GpxIRMRYKnaIAK6Odkx7sTrO9jbsPB3B12uPGx1JRERE/oWTnRNft/iaHb13ULFARa7EXqHjwo50X9ydiPgIo+NlqrjEFPp/f4C4JAu1S3nw9p+X6IqI5GYqdoj8qVxhF75+1h+AaVvOsPpIuMGJRERE5L/UKVaHQ/0O8W79dzGbzPx05Cd8Jvuw+Ohio6NlCqvVyju/BXHyWiyFXBz47vkAbG30EV9ERP8SivyPtlWK8ErDUgC89cthTl2LMTiRiIiI/BdHW0dGNx/Nrpd34VPQh2tx1+i0qBPP/foc1+OuGx3vsZq+9Qwrg8KxNZuY3L0ahVwcjY4kIpIlqNgh8jfvtqpIndIexCVZ6Pf9AWITU4yOJCIiIg+gVtFaHOx7kA8afoCNyYZFIYvwmezDopBFWK1Wo+NluG0nr/PlmmMAfNy+MjVKehicSEQk61CxQ+RvbG3MTHy+Gp6ujpy+HsfbvxzOkR+QREREciIHWwc+f+Jz9vTZg18hP27E3+C5X5/j2V+e5WrsVaPjZZiLN+N5bcEhUq3QpUYxXqhd3OhIIiJZioodIvdQIK8Dk1+ohp2NidXBV5i29YzRkURERCQdqntVZ3/f/XzU6CNszbYsProYn8k+/HTkp2z/JcbtJAt9vz9AZHwy/sXcGNHBF5PJZHQsEZEsRcUOkfuoVjwfn7SvDMBXa46x49QNgxOJiIhIetjb2PNp00/Z98o+qnpW5ebtm3Rf3J2OCzsSHpM9B5FbrVbe/S2Io+HRFMhrz5QXquNoZ2N0LBGRLEfFDpF/8Xyt4nSuXoxUKwz66SAXb8YbHUlERETSqapnVfb22cuIJiOwM9ux/PhyfCb7MP/w/GzX5TFr+1mWH76MrdnEpOer4eXuZHQkEZEsScUOkX9hMpn4rKMv/sXciIxP5pX5+4nTwFIREZFsx87GjuGNh3Og7wGqFalGZEIkPZb2oN2CdlyKvmR0vAey89QNvlh1FIDhT/lQu3R+gxOJiGRdKnaI/AdHOxumvViDgi4OHLsSw1saWCoiIpJt+RX2Y0+fPYx8YiT2NvasPLmSypMrM+fQnCz9+z3sVjyDfjpIqhU6VSvGS3VLGB1JRCRLU7FD5AF4ujky9X8Glk7ceMroSCIiIvKQbM22vN/wfQ72PUhNr5pEJUbRe3lvWv/YmotRF42O9w8JyRb6fX+AW/HJ+BV1Y+TTGkgqIvJfVOwQeUDVS3jweUdfAMasO8G60JyzfJ2IiEhuVLlQZXa+vJMvm3+Jg40Df5z+g8qTKzPjwIws0+VhtVoZtvgIIZej8chjz9QXNZBURORBqNghkg7P1Sye1jY6ZGEgp67FGJxIREREHoWt2ZZ36r9DYP9A6hSrQ0xSDH1X9KXlDy05H3ne6HhM33qGJYcuYWM2MfH5AIpqIKmIyANRsUMknYY/5UPtUh7EJqbwyvwDRMUnGx1JREREHlHFAhXZ3ms73zz5DY62jqw7sw7fKb5M3T/VsC6PTceuMXrNMQA+esqHemUKGJJDRCQ7UrFDJJ3sbMxM7l6Nou5OnL0Rx+s/H8KSmjVaXUVEROTh2ZhteLPemxzuf5j63vWJTYplwMoBNP++OWdvnc3ULKeuxfD6gkNYrdCtlrcGkoqIpJOKHSIPIX9eB6a/VB1HOzNbTlznqz+OGR1JREREMkj5/OXZ0nML41qOw8nWiY1nN+I3xY9JeyeRak197M8fGZ/Ey/P2E5OYQq1SHnzaXgNJRUTSS8UOkYdU2cuNr5/1B2DaljMsC7xkcCIRERHJKDZmGwbXGUzQgCAalWhEXHIcr65+lSfmPcHpm6cf2/OmWFIZ9NNBzkfEU9TdiSndq2Fvq4/sIiLppX85RR5BO38vBjQpA8A7vwZx+GKksYFEREQkQ5X1KMumHpv4rvV3ONs5s+X8FqpMrcKEPRMeS5fH5yuPsuNUBM72NszsUYP8eR0y/DlERHIDFTtEHtFbLSrwRMVCJKak8sr8/YRH3TY6koiIiGQgs8nMq7Ve5ciAIzQt2ZT45HjeWPMGjec25mTEyQx7ngV7LzB35zkAxnapSqUirhl2bBGR3EbFDpFHZGM28W3XqpQvnJdrMYm8Mn8/8UkpRscSERGRDFY6X2nWv7SeKW2nkNc+L9svbKfK1CqM2zUOS6rlkY6950wEw5cGA/Dmk+Vp5euZEZFFRHItFTtEMoCLox2zetTEI489wZeieXPRYVK1QouIiEiOYzaZ6V+jP8EDgmleujkJKQkMXTuUhnMacvzG8Yc65sWb8Qz48SApqVbaVinCq0+UzeDUIiK5j4odIhnE28OZaS9Wx87GxOrgK4xdd8LoSCIiIvKYlHAvwdoX1jKj3Qxc7F3YFbYL/6n+fL3j63R1ecQlpvDK/P3cjEvCt6gr3zzrr5VXREQygIodIhmoZkkPRj1TBYCJm06x9JBWaBEREcmpTCYTfar1IXhgMC3LtCTRksg769+h/uz6hF4P/c/9LalW3vg5kGNXYiiQ14HpL9bAyd4mE5KLiOR8KnaIZLBnqxejf+M/V2j5LYgD528ZnEhEREQep+JuxVndfTWz2s/CzcGNPZf2EDAtgNHbR5OSev85XqNWHWX90avY25qZ9mJ1vNydMjG1iEjOpmKHyGPwTssKPOlTmKSUVPp9v5+wW/FGRxIREZHHyGQy0TugN8EDg2lTrg1JliSGbRhG3Vl1Cb4W/I/tf9h9npnbzwIwprM/1Uvky+zIIiI5moodIo+B2Wxi/HN3loy7EZtEn3n7iU3UCi0iIiI5XTHXYqzotoJ5Hefh7ujO/sv7qTatGiO3jiTZkgzA1hPX+Xh5CHBn5ZV2/l5GRhYRyZFU7BB5TPI42DKzRw0K5HXg2JUYBv8ciEUrtIiIiOR4JpOJl/xfImRgCO3KtyM5NZkPN31I7Zm1WR66i0E/HsSSauWZgKJaeUVE5DFRsUPkMSrq7sT0l6pjb2tm/dGrfLnmmNGRREREJJN4uXixrOsyfnj6B/I55uPQlUN0/KUhFy3zqV4iL6M6+WnlFRGRx0TFDpHHrFrxfHz97J0VWqZvPcMPu88bnEhEREQyi8lkonuV7hzse4Qi9g2xYiHK7idOWF8n9HqQ0fFERHIsFTtEMkGHqkUZ+mR5AD5aFsymY9cMTiQiIiKZJTXVyjerr2IX9Q7e1vfI5+hB8PUgas2sxUebPiLJkmR0RBGRHEfFDpFM8toTZXm2ejFSrfDqTwcJuRxldCQRERHJBOPXn2BFUDh2ZjM/v/gmRweF8qzPs6SkpvDZ1s+oPr06By4fMDqmiEiOomKHSCYxmUx88bQf9crkJy7JQu+5+wiPum10LBEREXmMFh8MY8LGUwB/fg4oQOG8hfml8y8senYRBZ0LEnwtmNoza/PBhg9ITEk0OLGISM6gYodIJrK3NTPlheqUK5SXq9GJ9Jqzj5iEZKNjiYiIyGOw8/QN3v3tzlyO/o3L0KWm912Pd67cmZCBIXT17YrFauGL7V9QbXo19l3aZ0RcEZEcRcUOkUzm5mTH7J4105akffWnQ6RYUo2OJSIiIhno+JUY+n1/gGSLlTZ+nrzTssI9tyuYpyALOi3gty6/UShPIUKvh1JnVh3eW/8eCSkJmZxaRCTnULFDxADeHs7M6lEDRzszW05cZ/iyEKxWq9GxREREJANcjU6g15y9xCSkUKNEPsZ2qYrZ/O9LzD5T6RlCB4byvN/zpFpT+XLHlwRMC2B32O5MSi0ikrOo2CFiEH9vdyZ0DcBkggV7LzBt6xmjI4mIiMgjiklIpuecfVyOSqB0wTzMeKkGjnY2D7Rvfuf8/PjMjyx9bimeeT05duMY9WfX5+21b3M7WXO+RETSw9Bix9atW2nXrh1eXl6YTCaWLl161+M9e/bEZDLddWvVqtVd24wcOZJ69erh7OyMu7v7P54jIiKCVq1a4eXlhYODA97e3rz66qtER0fftd3mzZupVq0aDg4OlC1blrlz52bwqxX5pxaVPRne1geA0auPsTIo3OBEIiIi8rCSLakM/PEgR8OjKZDXnnm9apEvj326j9OhYgdCBobwYpUXSbWm8s2ub6g6rSo7Lux4DKlFRHImQ4sdcXFx+Pv7M2nSpPtu06pVK8LDw9NuCxYsuOvxpKQkOnfuzIABA+65v9lspkOHDixfvpwTJ04wd+5c1q9fT//+/dO2OXv2LG3btqVp06YEBgYyePBg+vTpwx9//JExL1TkX/RuUIqe9UoCMGRRIPvO3TQ2kIiIiKSb1Wpl2OIjbDt5Ayc7G2b3rIm3h/NDH8/DyYP5T8/n926/4+XixYmIEzSc05Aha4YQnxyfgclFRHImkzWLDAowmUwsWbKEjh07pt3Xs2dPIiMj/9HxcS9z585l8ODBREZG/ue2EyZM4Ouvv+bixYsAvPvuu6xcuZLg4OC0bbp27UpkZCRr1qx5oPxhYWF4e3tz8eJFihUr9kD7iPzFkmql3/cHWH/0Kq6Otvw2oB7lCrsYHUtEREQe0Lh1J/h2w0nMJpjZowZPVCycYce+dfsWQ9cOZW7gXADKepRldvvZNCzRMMOeQ0SyJ52H3l+Wn9mxefNmChUqRIUKFRgwYAARERGPdLzLly+zePFiGjdunHbfrl27aN68+V3btWzZkl27dt33OImJiURHR6fdYmJiHimX5G42ZhPfdQugWnF3ohNS6DF7L+FRujZXREQkO1i47wLfbjgJwOcd/TK00AGQzykfczrMYdXzqyjqUpRTN0/ReG5j3lj9BnFJcRn6XCIiOUWWLna0atWK+fPns2HDBr788ku2bNlC69atsVgs6T5Wt27dcHZ2pmjRori6ujJz5sy0x65cuULhwnf/UipcuDDR0dHcvn3vE85Ro0bh5uaWdvPx8Ul3JpH/5WRvw6weNSlTMA+XoxLoOXsfUbeTjY4lIiIi/2Lz8Wu8v+ROd/CrTcvyfO3ij+25WpdrTcjAEF4OeBkrVibsnUCVqVXYfG7zY3tOEZHsKksXO7p27Ur79u3x8/OjY8eOrFixgn379rF58+Z0H2vcuHEcPHiQZcuWcfr0aYYOHfpI2YYNG0ZUVFTaLTQ09JGOJwKQL48983rXopCLA8evxvDK/P0kJKe/uCciIiKPX/ClKAb9eBBLqpVnAoryZovyj/053RzdmNl+Jmu6r6GYazHO3DpD03lNGbRyELFJsY/9+UVEsossXez4u9KlS1OgQAFOnTqV7n09PT2pWLEi7du3Z9q0aUyZMoXw8PC0x65evXrX9levXsXV1RUnJ6d7Hs/BwQFXV9e0m4uL5itIxiiWz5m5vWrh4mDL3rM3GbooEEtqlhitIyIiIn86dyOOnnP2EpdkoX7Z/IzuVAWTyZRpz9+ybEtCBobQt1pfACbvn4zfFD82nt2YaRlERLKybFXsCAsLIyIigiJFijzScVJTU4E7czcA6taty4YNG+7aZt26ddStW/eRnkfkYfl4uTLtperY25hZdeQKI34PIYvMEhYREcn1rsUk8NLsvdyITcKniCtTXqiOvW3mf6x2dXBlWrtprHtxHSXcSnAu8hzN5jdjwIoBxCRqnpyI5G6GFjtiY2MJDAwkMDAQuLMEbGBgIBcuXCA2Npa3336b3bt3c+7cOTZs2ECHDh0oW7YsLVu2TDvGhQsX0vaxWCxpx4uNvdPGt2rVKubMmUNwcDDnzp1j5cqV9O/fn/r161OyZEkA+vfvz5kzZ3jnnXc4duwYkydPZtGiRQwZMiSz/0hE0tQrU4AxXfwBmLfrPFO2nDY4kYiIiEQnJNNj9j4u3IynuIczc3vXxNXRztBMzUs358iAIwyoMQCAqQem4jvFl/Vn1huaS0TESIYuPbt582aaNm36j/t79OjBlClT6NixI4cOHSIyMhIvLy9atGjBZ599dtcw0Z49ezJv3rx/HGPTpk00adKETZs28cEHHxAaGkpiYiLe3t4888wzvPfee7i7u9+VZciQIYSGhlKsWDGGDx9Oz549H/i1aMkfeVxmbT/LZyvuzIQZ09mfTtX1/hIRETFCQrKFHrP3sufsTQrkdeC3AXUpkT+P0bHusvHsRvos78PZyLMAvFLtFb5p8Q2uDq4GJxORx0HnofdnaLEjJ9GbTB6nUauOMm3rGWzNJmb2qEGTCoWMjiQiIpKrWFKtDPzxAH+EXCWvgy0/962Db1E3o2PdU2xSLMPWD2PivokAeLt6M7P9TFqUaWFwMhHJaDoPvb9sNbNDJLd6t1VFOlb1IiXVyoAfDnLg/E2jI4mIiOQaVquVD5ce4Y+Qq9jbmJn+UvUsW+gAyGufl+/afMfmHpspna80F6Mv0vKHlvRZ3oeohCij44mIZAoVO0SyAbPZxFfP+tO4fEFuJ1voNWcfR8OjjY4lIiKSK4xdd4IFey9iNsGEblWpV6aA0ZEeSOOSjQnqH8Qbtd/AhIlZh2bhO8WX1SdXGx1NROSxU7FDJJuwtzUz5YVqVC+Rj+iEFF6avZfzEXFGxxIREcnR5u44y3cbTwHweUc/Wvk+2qqAmS2PfR7GtxrP1l5bKedRjrDoMNr81IZey3px6/Yto+OJiDw2KnaIZCPO9rbM7lGTip4uXI9J5IVZe7ganWB0LBERkRxp+eHLfPrnkPChT5bn+drFDU708BoUb0Bg/0CG1hmKCRNzA+fiO8WXFSdWGB1NRDLZ1q1badeuHV5eXphMJpYuXfqf+yQmJvLBBx9QokQJHBwcKFmyJLNnz75rm19++YWKFSvi6OiIn58fq1atekyv4MGo2CGSzbg52zG/dy1K5Hfm4s3bvDRrL5HxSUbHEhERyVE2Hb/Gm4sCsVrhpboleO2JskZHemTOds6MaTmG7b23Uz5/eS7HXKbdgna8tOQlbt7WPDCR3CIuLg5/f38mTZr0wPt06dKFDRs2MGvWLI4fP86CBQuoUKFC2uM7d+6kW7duvPzyyxw6dIiOHTvSsWNHgoODH8dLeCBajSWDaAquZLaLN+PpNGUn12ISCSjuzo99auNsb2t0LBERkWxv95kIeszeS2JKKk9VKcK3XQOwMZuMjpWhbiff5uPNHzNm1xhSral45vVkatupdKjYwehoIpIOj3oeajKZWLJkCR07drzvNmvWrKFr166cOXMGDw+Pe27z3HPPERcXx4oV/98tVqdOHapWrcrUqVPTnSsjqLNDJJvy9nDm+5dr4+Zkx6ELkfT7/gCJKRajY4mIiGRrhy9G0mfefhJTUmlWsRDjnqua4wodAE52Tnz15Ffs6L2DigUqciX2Ch0XdqT74u5ExEcYHU9E0ikmJobo6Oi0W2JiYoYde/ny5dSoUYOvvvqKokWLUr58ed566y1u376dts2uXbto3rz5Xfu1bNmSXbt2ZViO9FKxQyQbq+DpwpxeNXG2t2HbyRsMXXgYS6qatURERB7G8Ssx9Jizl9jEFOqWzs+k7tWws8nZH5frFKvDoX6HeLf+u5hNZn468hM+k31YfHSx0dFEJB18fHxwc3NLu40aNSrDjn3mzBm2b99OcHAwS5YsYfz48fz6668MHDgwbZsrV65QuHDhu/YrXLgwV65cybAc6ZWz//UWyQWqFc/HtBerY2djYuWRcD5cegRdnSYiIpI+527E8cKsPUTGJ1PV250ZPWrgaGdjdKxM4WjryOjmo9n18i58CvpwLe4anRZ1ouuvXbked93oeCLyAEJDQ4mKikq7DRs2LMOOnZqaislk4scff6RWrVq0adOGsWPHMm/evLu6O7IaFTtEcoCG5QrybdcAzCZYsPcin688qoKHiIjIAwqPuk33mXu4HpNIRU8X5vaqSV6H3DcHq1bRWhzse5D3G7yPjcmGhSELqTy5Mr+G/mp0NBH5Dy4uLri6uqbdHBwcMuzYRYoUoWjRori5uaXdV6lSJaxWK2FhYQB4enpy9erVu/a7evUqnp6eGZYjvVTsEMkh2vgVYdQzfgDM2n6WMWtPGJxIREQk67sRm0j3mXu4FHmbUgXyMP/lWrg72xsdyzAOtg6MbDaSPX324FvIl+vx1+n8S2e6/NKFa3HXjI4nIgaoX78+ly9fJjY2Nu2+EydOYDab04ai1q1blw0bNty137p166hbt26mZv1fKnaI5CDP1SzOp+0rAzBx0ykmbjxpcCIREZGsKyo+mRdn7eXM9Ti83Bz5oU9tCrk4Gh0rS6juVZ39r+xneKPh2Jhs+CX0FypPrszC4IXqHhXJ5mJjYwkMDCQwMBCAs2fPEhgYyIULFwAYNmwYL730Utr2zz//PPnz56dXr16EhoaydetW3n77bXr37o2TkxMAb7zxBmvWrGHMmDEcO3aMTz75hP379/Pqq69m+uv7i4odIjlMj3olGda6IgDfrD3BzG1nDE4kIiKS9cQlptBr7l6OhkdTIK8DP75Sh6LuTkbHylIcbB0Y0XQE+17Zh39hf27E36Drb1159pdnuRp79b8PICJZ0v79+wkICCAgIACAoUOHEhAQwEcffQRAeHh4WuEDIG/evKxbt47IyEhq1KhB9+7dadeuHRMmTEjbpl69evz0009Mnz4df39/fv31V5YuXYqvr2/mvrj/YbKqNJshHnV9Y5GMNn79Ccavv9PZ8XlHX16oU8LgRCIiIlnD7SQLvefuY9eZCNyc7Pi5bx0qFXE1OlaWlmRJ4ottXzBy20hSUlPwcPJgYuuJdPXtismU85bmFckudB56f+rsEMmh3mhWjv6NywDw4dJgfj0QZnAiERER4yUkW+j7/X52nYkgr4Mtc3vVVKHjAdjb2PNJk0/Y/8p+qnpW5ebtmzy/+HmeXvg04THhRscTEfkHFTtEciiTycS7rSrQs15JAN759TC/H75sbCgREREDJaZY6Pf9AbadvIGzvQ1ze9UkoHg+o2NlK/6e/uzts5cRTUZgZ7Zj2fFlVJ5cmR+CftAsDxHJUlTsEMnBTCYTH7fzoVstb1KtMHhhIH+EXDE6loiISKZLSkll4A8H2XLiOo52Zmb3rEmNkh5Gx8qW7GzsGN54OPv77qdakWrcSrjFi0tepMPPHbgcoy9WRCRrULFDJIczmUyM7OjHMwFFsaRaee2nQ2w+rqXjREQk90i2pPLagoNsOHYNB1szs3vUpE7p/EbHyvaqFK7C7pd383nTz7Ez2/H7id+pPLky8wLnqctDRAynYodILmA2m/jq2Sq09StCkiWVvt8fYMuJ60bHEhEReexSLKkM/jmQP0KuYm9rZsZLNahXtoDRsXIMOxs7Pmj0AQf7HaR6kepEJkTSc1lPnlrwFJeiLxkdT0RyMRU7RHIJWxsz47tWpYVPYZJSUnll/n4VPEREJEezpFoZuugwK4+EY29jZtoL1WlUvqDRsXIk30K+7O6zmy+e+AJ7G3tWnVxF5cmVmXNojro8RMQQKnaI5CJ2NmYmPl9NBQ8REcnxLKlW3v7lMMsPX8bOxsTk7tVoWrGQ0bFyNFuzLcMaDuNQv0PUKlqLqMQoei/vTZuf2nAx6qLR8UQkl1GxQySXsbdVwUNERHK21FQrwxYHsfjQJWzMJr7rVo3mPoWNjpVr+BT0YUfvHXzZ/EscbBxYc2oNvlN8mXVwlro8RCTTqNghkgup4CEiIjmVJdXK278GsWh/GDZmExO6BtDK19PoWLmOrdmWd+q/Q2D/QOoUq0N0YjR9fu9Dqx9bcSHqgtHxRCQXULFDJJdSwUNERHKaFEsqby4K5LeDdwod456rStsqRYyOlatVLFCR7b22882T3+Bo68ja02vxnezL9APT1eUhIo+Vih0iuZgKHiIiklMkW1IZvDCQpYGXsTWb+K5bAO39vYyOJYCN2YY3671JYL9A6nnXIyYphn4r+tHihxacjzxvdDwRyaFU7BDJ5VTwEBGR7C4pJZXXFxxiRVA4djYmJnWvRhs/dXRkNRUKVGBrz62MbTEWR1tH1p9Zj+8UX6btn6YuDxHJcCp2iMg9Cx5Hw6ONjiUiIvKfElMsDPrpIKuDr2BvY2bqC9VpWVkzOrIqG7MNQ+oOIah/EA2KNyA2KZb+K/vT/PvmnL111uh4IpKDqNghIsD/FzwalitAUkoqc3ecMzqSiIjIv0pItjDgh4OsC72Kva2Z6S9Vp1klrbqSHZTLX44tPbfwbatvcbJ1YuPZjfhN8WPyvsmkWlONjiciOYCKHSKSxt7WzGtPlAPg96DLxCamGJxIRETk3hKSLbwyfz8bj13DwdbMrB41aFKhkNGxJB3MJjOv136doAFBNCrRiLjkOAatGkSz+c04c+uM0fFEJJtTsUNE7lKzZD5KF8hDfJKFFYcvGx1HRETkH24nWXh53j62nbyBk50Nc3rVpGG5gkbHkodU1qMsm3ps4rvW3+Fs58zmc5vxm+LHxL0T1eUhIg9NxQ4RuYvJZOK5mt4A/LzvosFpRERE7haTkEyPOXvZcSoCZ3sb5vaqSb0yBYyOJY/IbDLzaq1XOTLgCE1KNiE+OZ7XVr9G03lNOX3ztNHxRCQbUrFDRP7hmWrFsDWbCLwYyfErMUbHERERAeBmXBLdZ+5h79mbuDjYMr93LWqXzm90LMlApfOVZsNLG5jcZjJ57PKw9fxW/Kb48e3ub9XlISLpomKHiPxDQRcHmlW6c93zQnV3iIhIFnA1OoHnpu0iKCwKjzz2LOhbhxolPYyOJY+B2WRmQM0BHBlwhCdKPcHtlNsM/mMwjec25mTESaPjiUg2oWKHiNxT15rFAVh8KIzEFIvBaUREJDe7EBHPs1N3cvJaLIVdHVjUrw6+Rd2MjiWPWal8pVj/4nqmtp1KXvu8bL+wnSpTqzBu1zgsqfpsIiL/TsUOEbmnRuUL4unqSGR8MmtDrhodR0REcqmTV2PoPG0nF2/epriHM7/2r0fZQi5Gx5JMYjKZ6FejH8EDgmleujkJKQkMXTuURnMbcfzGcaPjiUgWpmKHiNyTjdlElxrFAF3KIiIixjgSFkWXabu4Gp1I+cJ5+bV/Xbw9nI2OJQYo4V6CtS+sZfpT03Gxd2HnxZ1UnVaVMTvHqMtDRO5JxQ4Rua/ONbwxmWD7qRtcvBlvdBwREclF9p69SbcZu7kVn4x/MTcW9q1LIVdHo2OJgUwmE69Uf4XggcG0LNOShJQE3lr3Fg3mNODYjWNGxxORLEbFDhG5L28PZ+r/uZzfov3q7hARkcyx+fg1Xpq9h9jEFGqX8uDHV+qQL4+90bEkiyjuVpzV3Vczs91MXB1c2R22m6pTq/L1jq/V5SEiaVTsEJF/9VxNbwB+2R+GJdVqcBoREcnJom4n8/mKUPrM209CcipPVCzEvN61yOtga3Q0yWJMJhMvV3uZ4AHBtCrbikRLIu+sf4f6s+tz9PpRo+OJSBagYoeI/KsWlQvj7mzHlegEtp64bnQcERHJgSypVn7ac4EnvtnMzO1nSUm18nRAUaa9WB1HOxuj40kW5u3mzarnVzG7/WzcHNzYc2kPAdMC+HL7l6SkphgdT0QMpGKHiPwrB1sbngm4M6j0530XDE4jIiI5ze4zETz13XbeX3KEiLgkyhTMw9xeNRn3XFXsbPRRVf6byWSiV0AvggcG06ZcGxItiby34T3qzapHyLUQo+OJiEH0G0RE/tNfl7JsOHqNazEJBqcREZGc4OLNeAb+eICu03dzNDwaV0dbPnrKhzWDG9GkQiGj40k2VMy1GCu6rWBuh7m4Obix7/I+qk2vxqhto9TlIZILqdghIv+pgqcLAcXdSUm1svjgJaPjiIhINhaflMKYtcdpNnYLq45cwWyCF+oUZ/PbTendoJS6OeSRmEwmelTtQcjAENqWa0uSJYn3N75P3Vl1Cb4WbHQ8EclE+m0iIg+k65/dHQv3XcRq1aBSERFJv8uRt+k4aQffbTxFUkoqdUvnZ+XrDfm8ox8eWm1FMlBR16L83u135necj7ujO/sv76f69OqM3DqSZEuy0fFEJBOo2CEiD6RtFS+c7W04eyOOvWdvGh1HRESymZNXY+g0ZScnrsZSyMWBqS9U56dXalOpiKvR0SSHMplMvOj/IiEDQ2hXvh1JliQ+3PQhdWbV4cjVI0bHE5HHTMUOEXkgeR1saVfFC7jT3SEiIvKgDpy/ybNTdxEelUCZgnlYMqg+rXw9MZlMRkeTXMDLxYtlXZfxw9M/kM8xHwfDD1J9enU+2/KZujxEcjAVO0TkgT1X686lLKuCw4m6rQ8HIiLy39aHXqX7zD1E3U4moLg7v/avR1F3J6NjSS5jMpnoXqU7IQND6FChA8mpyXy0+SNqz6zN4SuHjY4nIo+Bih0i8sACvN0pXzgvCcmpLD982eg4IiKSxS3ad5F+PxwgITmVJyoW4sc+tcmn2RxioCIuRVjy3BJ+fOZHPJw8OHTlEDVm1GDElhHq8hDJYVTsEJEHZjKZeK5mcQBmbD3D5cjbBicSEZGsyGq1MmnTKd75LQhLqpVnqxdj2ovVcba3NTqaCCaTief9nidkYAgdK3YkJTWFjzd/TK2ZtQi8Emh0PBHJICp2iEi6dKpWFE9XRy7cjOeZyTsJvRxtdCQREclCUlOtfPp7KF//cRyAgU3K8PWzVbSkrGQ5nnk9WdxlMQs6LSC/U34CrwRSc0ZNPtn8CUmWJKPjicgj0m8dEUkXd2d7fh1Ql3KF8nIlOoEu03ax7eR1o2OJiEgWkJhi4bWfDzF35zkAPnrKh3daVdQgUsmyTCYTXX27EjIwhGcqPUNKagqfbvmUmjNqcij8kNHxROQRqNghIulWLJ8zv/avR+1SHsQmptBrzj5+PRBmdCwRETHQrbgkXpy5l5VB4djZmJjQLYDeDUoZHUvkgRTOW5hfO//KwmcXUsC5AEFXg6g5oyYfbfpIXR4i2ZSKHSLyUNyc7Zj/ci3a+3uRkmrlrV8OM2HDSaxWq9HRREQkk52PiKPTlJ3sPXcTFwdb5vS88/tBJDsxmUx0qdyFkIEhdPbpjMVq4bOtn1Fjeg0OXD5gdDwRSScVO0TkoTnY2jD+uar0b1wGgLHrTvDeb0dItqQanExERDLLgfO3eHryTs7ciKOouxO/DqhHg3IFjI4l8tAK5SnEos6LWPTsIgo6F+TItSPUnlmbDzd+SGJKotHxROQBqdghIo/EbDbxXuuKfNahMmYTLNx/kT7z9hObmGJ0NBERecxWBoXTbcZubsYl4VfUjSUD61HB08XoWCIZonPlzoQMDOG5ys9hsVoYuW0k1adXZ//l/UZHE5EHoGKHiGSIF+uWZNqLNXC0M7PlxHWem7aLq9EJRscSEZHHwGq1MnXLaQb9dJCklFSaVyrEwn51KOTqaHQ0kQxVME9Bfn72Z37t/CuF8hQi5HoIdWbW4f0N76vLQySLU7FDRDLMkz6F+blvXfLnsSfkcjQdJu4g+FKU0bFERCQDpVhS+WBpMKNXHwOgZ707xW5ne1uDk4k8Pp18OhEyMISuvl2xWC2M2j6KatOrse/SPqOjich9qNghIhmqqrc7SwbWp+yfS9N2nrqLNcHhRscSEZEMEJuYwsvz9vPTnguYTHeWlv2kfWVszFpaVnK+As4FWNBpAYu7LKZwnsKEXg+lzqw6vLf+PRJS1M0qktWo2CEiGa54fmcWD6xHw3IFuJ1sof8PB5m06ZRWahERycYu3ozn2Sk72XLiOo52Zqa9UF1Ly0qu9HSlpwkZGMLzfs+Tak3lyx1fUm1aNfaE7TE6moj8DxU7ROSxcHW0Y07PmvSoWwKAr/84zpu/HCYxxWJwMhERSa+9Z2/SYdIOjl2JoUBeBxb2rUuLyp5GxxIxTH7n/Pz4zI8seW4JhfMU5uiNo9SbXY93172rLg+RLELFDhF5bGxtzHzawZfPOtxpcV588BLdZ+whIlYDvUREsouF+y7QfeadFVcqe7my/NX6+Hu7Gx1LJEvoWLEjoYNCeaHKC6RaU/lq51cETAtgd9huo6OJ5HqGFju2bt1Ku3bt8PLywmQysXTp0rse79mzJyaT6a5bq1at7tpm5MiR1KtXD2dnZ9zd3f/xHIcPH6Zbt254e3vj5OREpUqV+Pbbb/+x3ebNm6lWrRoODg6ULVuWuXPnZuArFcndXqxbkrm9auLiaMv+87foMGkHJ67GGB1LRET+RYollU9/D+Hd346QbLHS1q8Iv/Svi5e7k9HRRLIUDycPvn/6e5Z1XYZnXk+O3ThG/dn1eWfdO9xOvm10PJFcy9BiR1xcHP7+/kyaNOm+27Rq1Yrw8PC024IFC+56PCkpic6dOzNgwIB77n/gwAEKFSrEDz/8QEhICB988AHDhg1j4sSJaducPXuWtm3b0rRpUwIDAxk8eDB9+vThjz/+yJgXKiI0LFeQJQPrUyK/M2G3bvPM5J1sOn7N6FgiInIPUbeT6TV3H3N2nANgSPPyTHw+QCuuiPyL9hXaEzIwhJf8XyLVmsrXO78mYFoAuy7uMjqaSK5ksmaRiYEmk4klS5bQsWPHtPt69uxJZGTkPzo+7mXu3LkMHjyYyMjI/9x20KBBHD16lI0bNwLw7rvvsnLlSoKDg9O26dq1K5GRkaxZs+aB8oeFheHt7c3FixcpVqzYA+0jkhvdikui/w8H2HP2JiYTvN2yAgMal8Fk0iR/EZGs4Mz1WPrM28+ZG3E42dkwtos/rf2KGB1LJFtZcWIFfX/vS3hsOCZMDK07lM+afoaTnTqjJGPpPPT+svzMjs2bN1OoUCEqVKjAgAEDiIiIeORjRkVF4eHhkfbzrl27aN68+V3btGzZkl277l+FTUxMJDo6Ou0WE6OWfJEHkS+PPd+/XJtutbyxWuGrNcd59adDxCWmGB1NRCTX23riOh0n7eDMjTi83Bz5pX9dFTpEHsJT5Z9K6/KwYmXMrjFUnVaVHRd2GB1NJNfI0sWOVq1aMX/+fDZs2MCXX37Jli1baN26NRbLw6/msHPnThYuXEjfvn3T7rty5QqFCxe+a7vChQsTHR3N7dv3vs5u1KhRuLm5pd18fHweOpNIbmNva2bUM1UY+bQvdjYmVh4Jp9OUnZyPiDM6mohIrmS1Wpmx9Qw95+wlOiGFasXdWfpqfXyLuhkdTSTbyueUj3kd57Gi2wq8XLw4EXGChnMaMvSPocQnxxsdTyTHy9LFjq5du9K+fXv8/Pzo2LEjK1asYN++fWzevPmhjhccHEyHDh34+OOPadGixSNlGzZsGFFRUWm30NDQRzqeSG7UvXYJFrxSh4IuDhy7EkP7iTvYcuK60bFERHKVuMQUXl1wiJGrjpJqhU7VirGgbx0KuTgaHU0kR2hbvi0hA0PoWbUnVqyM2z2OqlOrsv3CdqOjieRoWbrY8XelS5emQIECnDp1Kt37hoaG0qxZM/r27cuHH35412Oenp5cvXr1rvuuXr2Kq6srTk73vq7OwcEBV1fXtJuLi0u6M4kI1Cjpwe+vNqCqt/udgXhz9jJl82myyDghEZEc7cz1WJ6evIOVQeHYmk182r4y33SugoOtjdHRRHIUd0d35nSYw8rnV1LUpSgnb56k0ZxGDFkzRF0eIo9Jtip2hIWFERERQZEi6bt2NCQkhKZNm9KjRw9Gjhz5j8fr1q3Lhg0b7rpv3bp11K1b95HyisiD8XRzZGG/OjxXw5tUK3y55hivLjhEfJLmeIiIPC7rQq/SYeIOTlyNpaCLAz/3rUOPeiU1MFrkMWpTrg3BA4PpXbU3VqyM3zMe/6n+bDu/zehoIjmOocWO2NhYAgMDCQwMBO4sARsYGMiFCxeIjY3l7bffZvfu3Zw7d44NGzbQoUMHypYtS8uWLdOOceHChbR9LBZL2vFiY2OBO5euNG3alBYtWjB06FCuXLnClStXuH79/1vl+/fvz5kzZ3jnnXc4duwYkydPZtGiRQwZMiRT/zxEcjMHWxtGd/Ljs46+2JpNrAwK55nJOzl3Q3M8REQykiXVypi1x3ll/n5iElOoUSIfK19rQI2SHv+9s4g8MndHd2Z1mMXq7qsp5lqMUzdP0XhuYwavGUxckj73iGQUQ5ee3bx5M02bNv3H/T169GDKlCl07NiRQ4cOERkZiZeXFy1atOCzzz67a5hoz549mTdv3j+OsWnTJpo0acInn3zCp59++o/HS5Qowblz5+7KMmTIEEJDQylWrBjDhw+nZ8+eD/xatOSPSMbZd+4mA344yI3YRFwcbPm6cxVa+Wo1ABGRRxUZn8QbPwemzUfqWa8k77ephL1ttmr2FckxohKieHPtm8w6NAuAMvnKMLvDbBqVaGRwMskudB56f4YWO3ISvclEMtaVqAQG/XSQA+dvAfByg1K817oidjb6QC4i8jBCLkfR/4cDXLx5G0c7M6Oe8ePpAH1mEckK/jj1B31+70NYdBgAr9V6jVHNRpHHPo/BySSr03no/emsQUSyJE83R37uW4c+DUoBMGv7WZ6btovLkfdeDlpERO7NarXy054LPDN5Jxdv3sbbw4nFA+qr0CGShbQs25LgAcH0CegDwHd7v6PK1CpsObfF4GQi2ZeKHSKSZdnZmPnwKR+mvlAdFwdbDl6IpO2EbVqeVkTkAcUmpvDGz4G8v+QIiSmpNK1QkN9fbYCPl6vR0UTkb9wc3ZjRfgZ/vPAH3q7enLl1hibzmvDaqteITYo1Op5ItqNih4hkea18PVnxegMqe7lyKz6ZnnP2MnbtcSypugpPROR+Qi9H0+677Sw/fBkbs4lhrSsyq0dN3J3tjY4mIv+iRZkWBA8Mpm+1vgBM3DeRKlOqsPncZmODiWQzKnaISLZQIn8efhtQj261imO1woSNp3hp9h5uxCYaHU1EJEuxWq38uOc8HSfv4OyNOLzcHFnUrw79GpfBbNaysiLZgauDK9PaTWPtC2sp7lacs5FnaTqvKa+uelVdHiIPSMUOEck2HO1sGPWMH+Oe88fJzoYdpyJo8+02dpy6YXQ0EZEsISYhmdcWHOKDJcEkpaTyRMVCrHy9IdVLaFlZkezoyTJPEjwgmH7V+wEwad8kqkypwqazmwxOJpL1qdghItnO0wHFWPZqfcoWysu1mERemLWHL9ccI9mSanQ0ERHDBF+Kot1321kRFI6t2cT7bSoy86Ua5Mujy1ZEsjMXBxemPjWVdS+uS+vyeGL+EwxaOUhdHiL/QsUOEcmWyhd2Yfmr9elWyxurFaZsPs2zU3dxPiLO6GgiIpnKarUyd8dZnpmyk3MR8Xi5ObKwX136NtJlKyI5SfPSzQkeEEz/6v0BmLx/Mn5T/Nh4dqPByUSyJhU7RCTbcra3ZdQzVZjcvRqujrYcvhhJ2wnbWXroktHRREQyxbWYBHrO2ccnv4eSlJJK80qFWPVGQ6qXyGd0NBF5DFwcXJjy1BTWv7ieEm4lOBd5jmbzmzFw5UBiEmOMjieSpajYISLZXhu/Iqwe3IhaJT2ITUxh8MJAhi4MJDYxxehoIiKPzYajV2k9/s5y3A62Zj5tX5kZL9XQaisiuUCz0s04MuBIWpfHlP1T1OUh8jcqdohIjlDU3YmfXqnNkOblMZtg8aFLtJ2wjcMXI42OJiKSoW4nWfhw6RFenrefiLgkKnq68PtrDehRryQmky5bEckt/t7lcT7qPM3mN2PAigHq8hBBxQ4RyUFsbcy80bwcC/vVpai7E+cj4uk0ZSeTNp0iRcNLRSQHCL4UxVPfbeOH3RcA6NOgFMterU/5wi4GJxMRo/zV5TGwxkAAph6Yit8UPzac2WBwMhFjqdghIjlOzZIerHq9IW39ipCSauXrP47TedouzlzXxHIRyZ5SU61M33qapyfv4PT1OAq5OPD9y7X48CkfHGxtjI4nIgZzcXBhUttJbHxpIyXdS3I+6jzNv29O/xX9iU6MNjqeiCFU7BCRHMnN2Y6JzwcwprM/Lg62HLoQSZsJ25i38xypqVaj44mIPLCLN+PpPnMPX6w6RrLFSsvKhVkzuBENyxU0OpqIZDFNSzXlyIAjDKo5CIBpB6bhN8WPdafXGZxMJPOp2CEiOZbJZKJT9WL8MaQRDcoWICE5lY+Xh/Di7D1cjrxtdDwRkX9ltVr5cc95Wo3fyq4zETjZ2TD6GT+mvlAdjzwaQioi95bXPi8T20xkU49NlHIvxYWoC7T4oQV9f++rLg/JVVTsEJEcz8vdifm9azGiQ2Uc7czsOBVBy3Fb+fVAGFarujxEJOu5FHmbl2bv5YMlwcQlWahZMh+r3mhI11rFNYRURB5Ik5JNCBoQxKs1XwVgxsEZ+E72Ze3ptQYnE8kcKnaISK5gNpt4qW5JVr3ekIDi7sQkpvDWL4fp9/0BbsQmGh1PRAS4082xcN8FWo7byraTN3CwNTP8KR9+7luXUgXyGB1PRLKZvPZ5+a7Nd2zusZnS+UpzMfoiLX9oqS4PyRVU7BCRXKV0wbz80q8ub7esgJ2NibWhV2kxbivLAi+py0NEDBUedZuec/bx7m9HiE1MoVpxd1a90ZCXG5TCxqxuDhF5eI1LNiaofxCv1XoNUJeH5A4qdohIrmNrY2ZQ07IsG9SAip4u3IxL4o2fA3l53n7N8hCRTGe1Wvll/0VajNvKlhPXsbc1836bivzSvx5lCuY1Op6I5BB57PMwofWEf3R5vLL8FXV5SI6kYoeI5Fo+Xq4sf7UBQ58sj72NmY3HrtFi3Fa+331eK7aISKa4eDOeHnP28favQcQkpODv7c6q1xvSt1EZdXOIyGPxV5fH67VeB2DmoZnq8pAcyWRV33aGCAsLw9vbm4sXL1KsWDGj44hIOp28GsO7vwVx8EIkALVKejCqk5++VRWRxyLFksrsHWcZu+4ECcmp2NuaGdy8HH0blsbWRt9FiUjm2Hp+K72W9eLMrTMA9AnowzctvsHN0c3gZPKgdB56fyp2ZBC9yUSyP0uqle93neOrP44Tn2TB3tbMG83K0bdRaex08iEiGSQoLJL3fjtCaPidtvE6pT344mk/Squ4KiIGiEuK4/0N7zNh7wQAirkWY2a7mbQs29LgZPIgdB56fyp2ZBC9yURyjrBb8XywJJgtJ64DUKmIK6Of8cPf293YYCKSrcUlpjBm7Qnm7jxLqhXcnOz4oG0lOlcvpuVkRcRwW89vpfey3py+dRqAlwNeZkyLMeryyOJ0Hnp/KnZkEL3JRHIWq9XKkkOXGLEilMj4ZEwmeL5Wcd5pWRE3Zzuj44lINrPx2FWGLw3h0p9DkDtU9WL4Uz4UyOtgcDIRkf8XlxTHBxs/YMKeCVixUsy1GDPazaBV2VZGR5P70Hno/akvW0TkHkwmE89UK8b6oY15OqAoViv8uOcCT4zZzC/7L2qAqYg8kPCo2wz68SC95+7nUuRtiuVzYm6vmnzbNUCFDhHJcvLY52F8q/Fs6bmFMvnKEBYdRusfW/PyspeJTIg0Op5kkK1bt9KuXTu8vLwwmUwsXbr0X7ffvHkzJpPpH7crV66kbWOxWBg+fDilSpXCycmJMmXK8Nlnn2Fkb4WKHSIi/6JAXgfGPVeVBa/UoVyhvETEJfH2r0E8N30Xx65omTYRubfEFAuTN5/iiW+2sPJIODZmE30blWbtkEY0qVDI6HgiIv+qYYmGBA0IYnDtwZgwMTtwNr6TfVl9crXR0SQDxMXF4e/vz6RJk9K13/HjxwkPD0+7FSr0/7/PvvzyS6ZMmcLEiRM5evQoX375JV999RXfffddRsd/YLqMJYOofUgk50u2pDJ7+1nGrz/J7WQLNmYTPeuVZMiT5cnrYGt0PBHJIjYfv8anv4dy9kYcANVL5GNEh8pU9tJ17yKS/Wy/sJ1ey3px6uYpAHpV7cXYlmNxd3Q3NpgAj34eajKZWLJkCR07drzvNps3b6Zp06bcunULd3f3e27z1FNPUbhwYWbNmpV2X6dOnXBycuKHH35Id66MoM4OEZEHZGdjpl/jMmx4szGtfT2xpFqZtf0szcZs5vfDlw1t0xMR4128Gc8r8/fTc84+zt6Io6CLA2O7+PNr/7oqdIhIttWgeAMO9z+c1uUxJ3AOvpN9WXVyldHR5H/ExMQQHR2ddktMTMzw56hatSpFihThySefZMeOHXc9Vq9ePTZs2MCJEycAOHz4MNu3b6d169YZnuNBqdghIpJOXu5OTHmhOnN71aREfmeuRify2oJDdJm2i6CwSKPjiUgmu51kYey6EzQbu4V1oVexNZt4pWEpNr7ZmGeqaaUVEcn+nO2cGddqHFt7baWsR1kuxVyi7U9t6bWsl2Z5ZBE+Pj64ubml3UaNGpVhxy5SpAhTp07lt99+47fffsPb25smTZpw8ODBtG3ee+89unbtSsWKFbGzsyMgIIDBgwfTvXv3DMuRXrqMJYPoMhaR3Ckh2cK0LWeYsuUUCcmpADxTrSjvtKyIp5ujwelE5HGyWq2sDr7CyJVH01ZZqV82P5+0q0y5wi4GpxMReTzik+P5cOOHjN89HitWiroUZXq76bQp18boaLnSX+ehoaGhFC1aNO1+BwcHHBz+exD2g1zGci+NGzemePHifP/99wD8/PPPvP3223z99ddUrlyZwMBABg8ezNixY+nRo0e6jp1RVOzIICp2iORu4VG3+XrNcRYfugSAk50N/RuXoW+j0jjZ2xicTkQy2oHztxi5MpSDFyIB8HJz5MOnfGjt66lODhHJFbZf2E7vZb05efMkAD2r9mRcy3Ga5ZHJMmNmx728/fbbbN++nV27dgHg7e3Ne++9x6BBg9K2+fzzz/nhhx84duxYunNlBF3GIiKSAYq4OTH2uaosHVSf6iXycTvZwrj1J3hizGaWHrqkpWpFcojzEXEM/PEAnabs5OCFSJzsbHi9WTnWv9mYNn5FVOgQkVyjQfEGBPYPZEidIZgwMTdwLpUnV9Ysj1wiMDCQIkWKpP0cHx+P2Xx3ecHGxobU1NTMjpZGyweIiGSgqt7u/Nq/LiuCwhm9+hiXIm8zeGEgc3aeY3jbStQo6WF0RBF5CJHxSXy38RTzd50j2WLFZIIu1b0Z2qI8hV11yZqI5E7Ods6MbTmWTpU60WtZL07ePEnbn9qqyyOLi42N5dSpU2k/nz17lsDAQDw8PChevDjDhg3j0qVLzJ8/H4Dx48dTqlQpKleuTEJCAjNnzmTjxo2sXbs27Rjt2rVj5MiRFC9enMqVK3Po0CHGjh1L7969M/31/UWXsWQQXcYiIn+XkGxh1vazTN50irgkCwDNKhbirZYVqFTE1eB0IvIgElMszN95nu82niQ6IQWARuULMqx1Rf09FhH5H/HJ8QzfOJxxu8dhxYqXixcz2s3QLI/H7GHOQ/9aSvbvevTowdy5c+nZsyfnzp1j8+bNAHz11VdMnz6dS5cu4ezsTJUqVfjoo4/uOkZMTAzDhw9nyZIlXLt2DS8vL7p168ZHH32Evb19hrzW9FKxI4Oo2CEi93MtJoFx606waH8YltQ73wh38Pdi6JMVKJ7f2eh4InIPKZZUlgZeZvz6E4TdujN8tKKnC8PaVKJx+YIGpxMRybp2XNiR1uUBmuXxuOk89P5U7MggepOJyH85cz2WMetOsDIoHABbs4lutYrz2hNlKaQ2eJEsITXVysoj4Yxbf4Iz1+MAKOTiwFstKtCpejFszJrJISLyX9TlkXl0Hnp/KnZkEL3JRORBBV+K4qs/jrP1xHXgzsotveqXpF/jMrg52RmcTiR3slqtrD96jTFrj3PsSgwA7s529G9chpfqlsDZXmPORETSS10ej5/OQ+9PxY4MojeZiKTXrtMRfPXHMQ79uXSlq6MtLzcoTc/6JVX0EMkkVquVbSdvMGbtcQ6HRQHg4mBLn4al6d2gJC6O+rsoIvIo7tXlMf2p6bQt39boaDmCzkPvT8WODKI3mYg8jL++Tf76j2OcuBoL3DnR6lm/JL3rlyJfHmMGOonkdFarlV1nIhi/7iR7z90E/r/Lqm+j0rg76++eiEhG+nuXRw//HoxrOY58TvkMTpa96Tz0/lTsyCB6k4nIo7CkWlkdHM53G05x/OqdFvo89ja8WLckfRqWokBeB4MTiuQMVquVDUevMWnzqbSuKntbMy/WKcGAJmX0d01E5DFSl0fG03no/anYkUH0JhORjJCaamVt6FUmbDhJaHg0AI52Zl6oXYK+jUprkKnIQ7L8OXh08qZTaTM5HGzNPFfTm4FNyuLppr9bIiKZZefFnfRa1osTEScAdXk8Cp2H3p+KHRlEbzIRyUhWq5WNx64xYcPJtDkCDrZmutTwpk/DUpTIn8fghCLZQ2KKhSUHLzF1y2nORcQDkNfBlhfqlODlBqUo6KJODhERI9xOvs2HGz9Ul8cj0nno/anYkUH0JhORx8FqtbL15A0mbDjJgfO3ADCZoKWPJ680Kk31EvoGROReYhNTWLjvIjO2nuFKdAIA+Zzt6F2/FC/VLYmbswaPiohkBeryeDQ6D70/FTsyiN5kIvI4/TVMccbWM2w6fj3t/mrF3enbqDRP+nhiYzYZmFAka7h4M565O8+xaN9FYhJTACjs6sArDUvTrVZx8jhoCVkRkaxGXR4PT+eh96diRwbRm0xEMsvJqzHM3HaWJYcukWRJBaBEfmf6NCjFs9W9cbK3MTihSOayWq3sO3eL2dvPsjb0Cql/frIpXTAPfRqUplP1ojjY6u+FiEhWpy6P9NN56P2p2JFB9CYTkcx2LSaB73ed5/vd54mMTwbA3dmOLjW86V67uOZ6SI6XlJLKiqDLzN5xluBL0Wn3NyxXgN4NStG4XEHM6ngSEclW1OWRPjoPvT8VOzKI3mQiYpT4pBR+OxDGzO1nOf/nAEaAxuUL8mKdEjStWEiXuEiOcjnyNov2X+THPRe4HpMI3Bng+0y1YvSqX5LyhV0MTigiIo/q710eL/m/xPiW49Xl8Tc6D70/FTsyiN5kImI0S6qVzcev8f3u82w5cZ2//nUv6u7E87WL06WGt1aekGzrr/f3T3susOn4tbRLVQq5ONCjXkm61SqORx57Y0OKiEiGup18m+GbhjN211h1edyHzkPvT8WODKI3mYhkJecj4vhpzwUW7b/IrT8vcbGzMdHatwjP1y5OrZIeau+XbOGvLo6F+y4SHpWQdn/tUh48X7s4rX2LYG9rNjChiIg8buryuD+dh96fih0ZRG8yEcmKEpItrDoSzve7z3PoQmTa/d4eTnSqVoxO1Yrh7eFsXECRe0i2pLLl+HUW7L27i8Pd2Y5nqxWja63ilC2U19iQIiKSqdTlcW86D70/FTsyiN5kIpLVBV+K4sc95/n9cDixfy7JCXe+IX+2ejHa+BXRspxiGKvVSlBYFEsOXeL3w5eJiEtKe+yvLo6WlT1xtNOqKiIiuZm6PO6m89D7U7Ejg+hNJiLZxe0kC2tDr/DrgTC2n7qRNtvD2d6G1r5F6FS9KLVL5ddQU8kUF2/Gs/TQJZYEXuLM9bi0+/PnsadjQFG6qYtDRET+Rl0e/0/nofenYkcG0ZtMRLKjy5G3WXLoEr8eCOPsjf8/0Szk4kAbvyK0rVKE6sXzab6HZKjI+CRWHbnCkkNh7Dt3K+1+B1szLSp78kxAURqUK4CdjWZxiIjI/anLQ+eh/0bFjgyiN5mIZGdWq5WDF27x64FLrAi6TEzC/1/mUtj1TuHjqSpFCPBW4UMezrWYBNaGXOWPkCvsOh1Byp+DOEwmqFcmP08HFKNl5cK4ONoZnFRERLKT3N7lofPQ+1OxI4PoTSYiOUVSSirbT11nRVA460Kv3lX4KOLmSGvfIrT286Ra8Xy61EX+VditeP4Iucqa4HD2n7/F/37iqFTElacDvGjvXxRPN0fjQoqISI6QW7s8dB56fyp2ZBC9yUQkJ0pMsbD95A1W/lX4+J/Bpvmc7WhSoRBPVCxEo/IFcXPSN/K5ndVq5Wh4DJuOX2NN8BWOXIq663F/b3da+3rSqrInJQvkMSiliIjkVLmxy0PnofenYkcG0ZtMRHK6hGQL207eYGXQZTYdv07U7eS0x2zMJmqWzEezioV5olIhShfIg8mkro/cIOp2MttP3mDLiWtsOXGdq9GJaY+ZTFCzpAetfT1pWdkTL3cnA5OKiEhu8fcujx7+PRjXclyO7PLQeej9qdiRQfQmE5HcJMWSysELkWw4dpWNR69x8lrsXY+XyO9Mg7IFqF+2AHVK58cjj71BSSWjpaZaCQ2PZvPxO8WNgxcisaT+/0cJRzszdUvn50kfT570KUxBFwcD04qISG51O/k2H278kHG7x+XoLg+dh96fih0ZRG8yEcnNLkTEs/HYVTYcu8aeMzdJsqTe9XilIq7UK5OfemXyU6uUh4ZQZiOpqVaOXolmz5mb7D17k73nbnIzLumubcoUzEOTCoVoXL4gtUp54GhnY1BaERGRu+X0Lg+dh96fih0ZRG8yEZE7YhNT2HnqBjtPR7DrdATHr8bc9biN2YRfUTdql/agWvF8BBR3p5CLBlRmFSmWVEIuR7PnbAR7ztxk37mbRP/PkFoAZ3sb6pUpQJMKBWlcviDeHs4GpRUREflvObnLQ+eh96diRwbRm0xE5N6uxySy+0zEn8WPG5yLiP/HNsXyORFQPB8B3u4EFHenspcb9rZmA9LmLlarlbBbtzkcFklQWBRBYZEcCYsiLsly13Z57G2oXtKD2qU8qFPaA7+i7vr/IyIi2c69ujzGtxqPu6O7scEegc5D70/FjgyiN5mIyIO5FHmbnaducPDCLQ6ej+TEtRj+/pvI3taMr5crlb3cqFjEhYqerlTwdCGvg60xoXMAq9XKlegEgi9FE/Q/xY1b8cn/2NbV0ZZapTyoVcqD2qXyU9nLFVsbFTdERCT7u1eXx4x2M2hTro3R0R6KzkPvz9Bix9atW/n66685cOAA4eHhLFmyhI4dO6Y93rNnT+bNm3fXPi1btmTNmjVpP48cOZKVK1cSGBiIvb09kZGR/3ie119/nR07dhAcHEylSpUIDAz8xzZBQUEMGjSIffv2UbBgQV577TXeeeedB34tepOJiDycmIRkgsKiOHThFocuRHLwwq17noDDncGnFT3vFD8qFXGhfGEXvD2csTPqRNxigW3bIDwcihSBhg3Bxth5FVarlWsxiZy4GsOJq7GcvBrDiasxnLwWS8zfLkcBsLMxUdHTlSrF3PAv5o5fMTfKF3bBxqzVdEREJOfacWEHvZb14uTNkwD0rNqTcS3HZbsuD52H3p+hX5HFxcXh7+9P7969eeaZZ+65TatWrZgzZ07azw4Od091T0pKonPnztStW5dZs2bd97l69+7Nnj17CAoK+sdj0dHRtGjRgubNmzN16lSOHDlC7969cXd3p2/fvg/56kRE5EG4ONpR/8+VW+DOyfr5iHgCL0Zy9Eo0x8JjOBoezbWYRM5HxHM+Ip4/Qq6m7W9jNlHU3YkS+Z0pVSAPJfLnoWR+Z0oWyIN3PufHd7nF4sXwxhsQFvb/9xUrBt9+C/f5nZZRLKl3ujTCbsZz8dZtLt6M5+KteC5ExHPiasw/Zmz8xcZsomzBvFQp5vbnzZ2KRVxwsNVAURERyV3qF69PYP9Ahm8czrjd45gbOJd1p9cxvd30bNvlIXcztNjRunVrWrdu/a/bODg44Onped/HP/30UwDmzp17320mTJgAwPXr1+9Z7Pjxxx9JSkpi9uzZ2NvbU7lyZQIDAxk7dqyKHSIimcxkMlGyQB5KFshDR4qm3R8Rm8jxKzEcvXKn+HE0PJoz1+O4nWzhws14/q+9O4+qus7/OP66XHZZFBCQERQ1ExWFIj1qoZWTtnhkrNyTlGp+k6ZmNVqmVu41pmOm5hI0pZP1K9Sa08mlQDC30kuajivm8gtMUzZZ7/3+/jBv3sB1HC9eno9zvkfu57u9+N7vMb/vPp/P98gvZ5W1/6TDsdxMUoifl8IDvRXq763wQC+F+XsrLNBbYQHeCg/wVoifpwJ9PK5umMann0qPPKJq42+OHz/X/r//e00FD8MwVFBaqZPF5fq5qEIni8t/W4oqdPxMqY6ePqv/O1OqSuvFO2aa3UxqEuyrlqH+ahnmp1vCzvWCiQ6px1wbAAD8ytfDV7N6zFKfmD72Xh4PLn/wpu3lAUe1fvBzRkaGQkND1aBBA91zzz2aMmWKgoODr+s5Nm3apMTERHl6etrbevTooZkzZ+r06dNq0KD6a4nKy8tVXl5u/1xUVFRtGwDA9RPs56XOLbzU+dceINJvQzYOnyzR4VMlOnzq7K8/n9WPp0p0tsKqE0XlOlFULqngksev52lWoI+HAs4v3h4K9Dm3eHu4ydPdTR5mN3m5SR5vp8uz3X3ysFbK01old5tVVpObbCY3Wd3Mqpq7QraI22Q1mWS1GbLaDJVWWlVcVqWS8ioVl1tVUl6lkooqFZdXqbisSkVlVTpVUn7JIsaF3N1M+kMDH0U28FVkkI8aN/BVVJCvWoT6qVnDevTWAADgCp3v5fHyVy9rzuY59l4ei3st1v23XPp/zqP2qtXFjp49e6pPnz6Kjo7WwYMH9dJLL+n+++/Xpk2bZL6OY6Lz8vIUHR3t0BYWFmZfV1OxY/r06fZeJQAA5zCZTAoLONdLo2Mzx0K4YRj6ubhc+QXlyissU/4FS15huU4UlimvsExnfp0fpKTCqpIKq/6voOzyJ76j/+W3WfnDtfxKkiR/b3c19PdSiJ+XGvp5KcTP095DJTLIV5FBvgoP8GZeDQAArhNfD1+92eNNey+PA78c0APLH9DHj36sR1o/4ux4uAa1utjRv/9v/5iMjY1Vu3bt1Lx5c2VkZOjee+91YjLpxRdf1JgxY+yfjx8/rtatWzsxEQDgQiaTSaH+54avxCrwottVWW0qLKtSYWmlCkorVVh27s+C0koVllapoLRS5VVWVVTZVFFlU+XBQ6rYvFUVZndVmD1UYfaQ1c0sN8Mms80ms2E992d8e7k1bix3N5Pc3Ezy8TDLz8td9bzMquflLr9flwt/DvH3UnA9T3l70CsDAABnuDPqTuX8T47Grx+vdbnr9FDLh5wdCdeoVhc7fq9Zs2YKCQnRgQMHrmuxIzw8XPn5+Q5t5z9fbL4QLy8vh8lSCwsLr1seAMCN4252U1A9TwXV87z8xpKUcVp6ccbltxv+tdQt4T8LBwAAbjhfD1/N7jlbZVVl8nb3dnYcXKObaimWrD4AABaXSURBVJayY8eO6dSpU2rUqNF1PW6nTp20YcMGVVb+9qrDtWvX6tZbb61xCAsAoA67665zb10xXWQIickkRUae2w4AANy0KHTc3Jxa7CguLpbFYpHFYpEk5ebmymKx6MiRIyouLtYLL7ygzZs36/Dhw1q/fr169+6tFi1aqEePHvZjHDlyxL6P1Wq1H6+4uNi+zYEDB2SxWJSXl6fS0lL7NhUVFZKkgQMHytPTUykpKfrhhx+0YsUK/f3vf3cYpgIAgCTJbD73elmpesHj/Oc5c85tBwAAAKcwGcbv35t342RkZOjuu++u1p6cnKwFCxYoKSlJO3bs0JkzZxQREaH77rtPkydPtk8eKkmPP/643nvvvWrH+Prrr9WtWzdJUrdu3ZSZmVltm9zcXDVt2lSS9P3332v48OHatm2bQkJC9Mwzz2js2LFX/LscO3ZMkZGROnr0qBo3bnzF+wEAblKffiqNGiUdO/ZbW2TkuULHNbx2FgAA4GrxHHpxTi12uBJuMgCog6xWKStL+uknqVGjc0NX6NEBAABuEJ5DL+6mmqAUAIBaxWyWfu1FCAAAgNrjppqgFAAAAAAA4HIodgAAAAAAAJdCsQMAAAAAALgUih0AAAAAAMClUOwAAAAAAAAuhWIHAAAAAABwKRQ7AAAAAACAS6HYAQAAAAAAXArFDgAAAAAA4FIodgAAAAAAAJdCsQMAAAAAALgUih0AAAAAAMClUOwAAAAAAAAuhWIHAAAAAABwKRQ7AAAAAACAS6HYAQAAAAAAXArFDgAAAAAA4FIodgAAAAAAAJdCsQMAAAAAALgUih0AAAAAAMCluDs7gKuw2WySpJ9++snJSQAAAAAAdcH558/zz6P4DcWO6yQ/P1+S1KFDBycnAQAAAADUJfn5+YqKinJ2jFrFZBiG4ewQrqCqqko7duxQWFiY3Nxq9+igoqIitW7dWrt375a/v7+z4wDVcI+ituMeRW3HPYrajnsUtd3Nco/abDbl5+crPj5e7u70ZbgQxY46qLCwUIGBgSooKFBAQICz4wDVcI+ituMeRW3HPYrajnsUtR336M2vdndBAAAAAAAAuEoUOwAAAAAAgEuh2FEHeXl5adKkSfLy8nJ2FKBG3KOo7bhHUdtxj6K24x5Fbcc9evNjzg4AAAAAAOBS6NkBAAAAAABcCsUOAAAAAADgUih2AAAAAAAAl0KxAwAAAAAAuBSKHXXM22+/raZNm8rb21sdO3bU1q1bnR0JkCRNnz5dd9xxh/z9/RUaGqqkpCTt3bvX2bGAi5oxY4ZMJpNGjx7t7CiAg+PHj2vw4MEKDg6Wj4+PYmNj9e233zo7FiBJslqtmjBhgqKjo+Xj46PmzZtr8uTJ4p0JcJYNGzaoV69eioiIkMlk0sqVKx3WG4ahiRMnqlGjRvLx8VH37t21f/9+54TFVaHYUYesWLFCY8aM0aRJk7R9+3a1b99ePXr00IkTJ5wdDVBmZqaGDx+uzZs3a+3ataqsrNR9992nkpISZ0cDqtm2bZveeecdtWvXztlRAAenT59Wly5d5OHhoS+++EK7d+/WrFmz1KBBA2dHAyRJM2fO1IIFCzRv3jzt2bNHM2fO1Ouvv6633nrL2dFQR5WUlKh9+/Z6++23a1z/+uuva+7cuVq4cKG2bNmievXqqUePHiorK7vBSXG1ePVsHdKxY0fdcccdmjdvniTJZrMpMjJSzzzzjMaNG+fkdICjn3/+WaGhocrMzFRiYqKz4wB2xcXFuu222zR//nxNmTJFcXFxmjNnjrNjAZKkcePGaePGjcrKynJ2FKBGDz30kMLCwrR06VJ728MPPywfHx998MEHTkwGSCaTSenp6UpKSpJ0rldHRESEnnvuOT3//POSpIKCAoWFhSktLU39+/d3YlpcDj076oiKigp999136t69u73Nzc1N3bt316ZNm5yYDKhZQUGBJCkoKMjJSQBHw4cP14MPPujw9ylQW6xevVoJCQl69NFHFRoaqvj4eC1evNjZsQC7zp07a/369dq3b58kKScnR9nZ2br//vudnAyoLjc3V3l5eQ7/zQ8MDFTHjh15hroJuDs7AG6MkydPymq1KiwszKE9LCxM//73v52UCqiZzWbT6NGj1aVLF7Vt29bZcQC7Dz/8UNu3b9e2bducHQWo0aFDh7RgwQKNGTNGL730krZt26aRI0fK09NTycnJzo4HaNy4cSosLFSrVq1kNptltVo1depUDRo0yNnRgGry8vIkqcZnqPPrUHtR7ABQ6wwfPly7du1Sdna2s6MAdkePHtWoUaO0du1aeXt7OzsOUCObzaaEhARNmzZNkhQfH69du3Zp4cKFFDtQK3z00UdatmyZli9frjZt2shisWj06NGKiIjgHgVwXTGMpY4ICQmR2WxWfn6+Q3t+fr7Cw8OdlAqobsSIEfr888/19ddfq3Hjxs6OA9h99913OnHihG677Ta5u7vL3d1dmZmZmjt3rtzd3WW1Wp0dEVCjRo3UunVrh7aYmBgdOXLESYkARy+88ILGjRun/v37KzY2Vo899pieffZZTZ8+3dnRgGrOPyfxDHVzothRR3h6eur222/X+vXr7W02m03r169Xp06dnJgMOMcwDI0YMULp6en66quvFB0d7exIgIN7771XO3fulMVisS8JCQkaNGiQLBaLzGazsyMC6tKlS7XXdu/bt09NmjRxUiLA0dmzZ+Xm5vgIYjabZbPZnJQIuLjo6GiFh4c7PEMVFhZqy5YtPEPdBBjGUoeMGTNGycnJSkhIUIcOHTRnzhyVlJRo6NChzo4GaPjw4Vq+fLlWrVolf39/+zjIwMBA+fj4ODkdIPn7+1ebQ6ZevXoKDg5mbhnUGs8++6w6d+6sadOmqW/fvtq6dasWLVqkRYsWOTsaIEnq1auXpk6dqqioKLVp00Y7duzQm2++qWHDhjk7Guqo4uJiHThwwP45NzdXFotFQUFBioqK0ujRozVlyhTdcsstio6O1oQJExQREWF/YwtqL149W8fMmzdPb7zxhvLy8hQXF6e5c+eqY8eOzo4FyGQy1diempqqxx9//MaGAa5Qt27dePUsap3PP/9cL774ovbv36/o6GiNGTNGTz75pLNjAZKkoqIiTZgwQenp6Tpx4oQiIiI0YMAATZw4UZ6ens6OhzooIyNDd999d7X25ORkpaWlyTAMTZo0SYsWLdKZM2d05513av78+WrZsqUT0uJqUOwAAAAAAAAuhTk7AAAAAACAS6HYAQAAAAAAXArFDgAAAAAA4FIodgAAAAAAAJdCsQMAAAAAALgUih0AAAAAAMClUOwAAAAAAAAuhWIHAAAAAABwKRQ7AAC4DjIyMmQymXTmzBlnR8F1cD2/z8TERC1fvvyS25hMJq1cufI/PteF+vfvr1mzZl3XYwIAcLOg2AEAwGWYTKZLLq+88opT8zVt2lRz5sy56PqKigqFhIRoxowZNa6fPHmywsLCVFlZ+R/leOWVVxQXF/cfHeNKtWrVSl5eXsrLy7sh57tWq1evVn5+vvr373/Dz/3yyy9r6tSpKigouOHnBgDA2Sh2AABwGT/99JN9mTNnjgICAhzann/++Ws6bkVFxXVOWjNPT08NHjxYqamp1dYZhqG0tDQNGTJEHh4eNyTP5VzuumRnZ6u0tFSPPPKI3nvvvRuU6trMnTtXQ4cOlZvbjf8nV9u2bdW8eXN98MEHN/zcAAA4G8UOAAAuIzw83L4EBgbKZDI5tPn5+dm3/e6775SQkCBfX1917txZe/futa873/NhyZIlio6Olre3t6Sae2bExcXZe4wYhqFXXnlFUVFR8vLyUkREhEaOHClJ6tatm3788Uc9++yz9p4mNUlJSdG+ffuUnZ3t0J6ZmalDhw4pJSVFkrRkyRLFxMTI29tbrVq10vz58x22P3bsmAYMGKCgoCDVq1dPCQkJ2rJli9LS0vTqq68qJyfHniMtLU2SdOTIEfXu3Vt+fn4KCAhQ3759lZ+ff9nrcjFLly7VwIED9dhjj+ndd9+ttr5p06aaNm2ahg0bJn9/f0VFRWnRokUO23zzzTeKi4uTt7e3EhIStHLlSplMJlksloueNzs7W3fddZd8fHwUGRmpkSNHqqSk5KLb//zzz/rqq6/Uq1cvh/b9+/crMTFR3t7eat26tdauXVtt36NHj6pv376qX7++goKC1Lt3bx0+fNi+vqqqSiNHjlT9+vUVHByssWPHKjk5WUlJSQ7H6dWrlz788MOLZgQAwFVR7AAA4DoaP368Zs2apW+//Vbu7u4aNmyYw/oDBw7ok08+0aeffnrJB+sLffLJJ5o9e7beeecd7d+/XytXrlRsbKwk6dNPP1Xjxo312muv2Xua1CQ2NlZ33HFHteJAamqqOnfurFatWmnZsmWaOHGipk6dqj179mjatGmaMGGCvfdEcXGxunbtquPHj2v16tXKycnRX//6V9lsNvXr10/PPfec2rRpY8/Rr18/2Ww29e7dW7/88osyMzO1du1aHTp0SP369bum61JUVKSPP/5YgwcP1h//+EcVFBQoKyur2nazZs1SQkKCduzYoaefflp/+ctf7IWnwsJC9erVS7Gxsdq+fbsmT56ssWPHXvI7OHjwoHr27KmHH35Y33//vVasWKHs7GyNGDHiovtkZ2fL19dXMTEx9jabzaY+ffrI09NTW7Zs0cKFC6udu7KyUj169JC/v7+ysrK0ceNG+fn5qWfPnvZeLzNnztSyZcuUmpqqjRs3qrCwsMY5Pzp06KCtW7eqvLz8kr8fAAAuxwAAAFcsNTXVCAwMrNb+9ddfG5KMdevW2dv+9a9/GZKM0tJSwzAMY9KkSYaHh4dx4sQJh32bNGlizJ4926Gtffv2xqRJkwzDMIxZs2YZLVu2NCoqKmrMVNP+NVm4cKHh5+dnFBUVGYZhGIWFhYavr6+xZMkSwzAMo3nz5sby5csd9pk8ebLRqVMnwzAM45133jH8/f2NU6dO1Xj8SZMmGe3bt3doW7NmjWE2m40jR47Y23744QdDkrF161b7fjVdl5osWrTIiIuLs38eNWqUkZyc7LBNkyZNjMGDB9s/22w2IzQ01FiwYIFhGIaxYMECIzg42P69GIZhLF682JBk7NixwzCM377P06dPG4ZhGCkpKcZTTz3lcJ6srCzDzc3N4TgXmj17ttGsWTOHti+//NJwd3c3jh8/bm/74osvDElGenq6YRiG8f777xu33nqrYbPZ7NuUl5cbPj4+xpdffmkYhmGEhYUZb7zxhn19VVWVERUVZfTu3dvhfDk5OYYk4/DhwzVmBADAVdGzAwCA66hdu3b2nxs1aiRJOnHihL2tSZMmatiw4VUd89FHH1VpaamaNWumJ598Uunp6aqqqrrqbAMGDJDVatVHH30kSVqxYoXc3NzUr18/lZSU6ODBg0pJSZGfn599mTJlig4ePChJslgsio+PV1BQ0BWfc8+ePYqMjFRkZKS9rXXr1qpfv7727Nljb7vS6/Luu+9q8ODB9s+DBw/Wxx9/rKKiIoftLvwezg87Ov897N27V+3atXMYLtOhQ4dLnjcnJ0dpaWkO16ZHjx6y2WzKzc2tcZ/S0tJqQ3LOX4+IiAh7W6dOnaqd68CBA/L397efKygoSGVlZTp48KAKCgqUn5/vkNlsNuv222+vlsHHx0eSdPbs2Uv+fgAAuBp3ZwcAAMCVXDjJ5/n5M2w2m72tXr161fZxc3OTYRgObRe+GSUyMlJ79+7VunXrtHbtWj399NN64403lJmZeVWTigYEBOiRRx5Ramqqhg0bptTUVPXt21d+fn72OTQWL16sjh07OuxnNpsl/fbg/N9Q03X5vd27d2vz5s3aunWrw9APq9WqDz/8UE8++aS97ffXxWQyOXwPV6u4uFh//vOf7XOlXCgqKqrGfUJCQnT69OlrOtftt9+uZcuWVVt3tYWyX3755Zr2AwDgZkfPDgAAnKxhw4YOc20UFhZW6y3g4+OjXr16ae7cucrIyNCmTZu0c+dOSefetmK1Wq/oXCkpKcrOztbnn3+ub775xj4xaVhYmCIiInTo0CG1aNHCYYmOjpZ0rreExWKxP0D/Xk05YmJidPToUR09etTetnv3bp05c0atW7e+osznLV26VImJicrJyZHFYrEvY8aM0dKlS6/4OLfeeqt27tzpMI/Ftm3bLrnPbbfdpt27d1e7Ni1atJCnp2eN+8THxysvL8+h4HH+elz4fW/evLnaufbv36/Q0NBq5woMDFRgYKDCwsIcMlutVm3fvr1ahl27dqlx48YKCQm59EUBAMDFUOwAAMDJ7rnnHr3//vvKysrSzp07lZycbO9NIUlpaWlaunSpdu3apUOHDumDDz6Qj4+PmjRpIunc20c2bNig48eP6+TJk5c8V2Jiolq0aKEhQ4aoVatW6ty5s33dq6++qunTp2vu3Lnat2+fdu7cqdTUVL355puSzg2DCQ8PV1JSkjZu3KhDhw7pk08+0aZNm+w5cnNzZbFYdPLkSZWXl6t79+6KjY3VoEGDtH37dm3dulVDhgxR165dlZCQcMXXqLKyUu+//74GDBigtm3bOixPPPGEtmzZoh9++OGKjjVw4EDZbDY99dRT2rNnj7788kv97W9/k6SLvs1m7Nix+uabbzRixAhZLBbt379fq1atuuQEpfHx8QoJCdHGjRvtbd27d1fLli2VnJysnJwcZWVlafz48Q77DRo0SCEhIerdu7eysrKUm5urjIwMjRw5UseOHZMkPfPMM5o+fbpWrVqlvXv3atSoUTp9+nS1/FlZWbrvvvuu6LoAAOBKKHYAAOBkL774orp27aqHHnpIDz74oJKSktS8eXP7+vr162vx4sXq0qWL2rVrp3Xr1umzzz5TcHCwJOm1117T4cOH1bx588sOVzCZTBo2bJhOnz5d7U0xTzzxhJYsWaLU1FTFxsaqa9euSktLs/fs8PT01Jo1axQaGqoHHnhAsbGxmjFjhr0w8/DDD6tnz566++671bBhQ/3zn/+UyWTSqlWr1KBBAyUmJqp79+5q1qyZVqxYcVXXaPXq1Tp16pT+9Kc/VVsXExOjmJiYK+7dERAQoM8++0wWi0VxcXEaP368Jk6cKEkXfe1tu3btlJmZqX379umuu+5SfHy8Jk6c6DD3xu+ZzWYNHTrUYTiKm5ub0tPTVVpaqg4dOuiJJ57Q1KlTHfbz9fXVhg0bFBUVpT59+igmJkYpKSkqKytTQECApHPFlwEDBmjIkCHq1KmTfQ6RC/OXlZVp5cqVDsN7AACoK0zG7wcJAwAA1DHLli3T0KFDVVBQcF3nJsnLy1ObNm20fft2e0+c/wabzaaYmBj17dtXkydPliQtWLBA6enpWrNmzX/tvAAA1FZMUAoAAOqcf/zjH2rWrJn+8Ic/KCcnR2PHjlXfvn2v+ySs4eHhWrp0qY4cOXJdix0//vij1qxZo65du6q8vFzz5s1Tbm6uBg4caN/Gw8NDb7311nU7JwAANxN6dgAAgDrn9ddf1/z585WXl6dGjRopKSlJU6dOla+vr7OjXZGjR4+qf//+2rVrlwzDUNu2bTVjxgwlJiY6OxoAALUCxQ4AAAAAAOBSmKAUAAAAAAC4FIodAAAAAADApVDsAAAAAAAALoViBwAAAAAAcCkUOwAAAAAAgEuh2AEAAAAAAFwKxQ4AAAAAAOBSKHYAAAAAAACX8v/HOYkdC/Zm2QAAAABJRU5ErkJggg==", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import math\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# --- Configuration Section ---\n", "# Global variables that must be modified to match your particular need\n", "# The aircraft name\n", "# Note - It should match the exact spelling of the model file\n", "AIRCRAFT_NAME=\"737\"\n", "\n", "# --- JSBSim Initialization ---\n", "# These lines initialize the flight dynamics model.\n", "\n", "# Avoid flooding the console with log messages\n", "jsbsim.FGJSBBase().debug_lvl = 0\n", "\n", "# Create a flight dynamics model (FDM) instance.\n", "fdm = jsbsim.FGFDMExec(PATH_TO_JSBSIM_FILES)\n", "\n", "# Load the aircraft model\n", "fdm.load_model(AIRCRAFT_NAME)\n", "\n", "# Set engines running\n", "fdm['propulsion/set-running'] = -1\n", "\n", "\n", "def thrust_vector_range_test(altitude, speed, flight_path_angle, title):\n", " # altitude: altitude above sea level (ft)\n", " # speed: mach number of speed (<1)\n", " # calibrated airspeed (kts) (>=1)\n", " # flight_path_angle: flight path angle (deg)\n", " # title: title for plot\n", "\n", " # Thrust vectoring angles in pitch (deg) to test\n", " tv_angles = np.linspace(0, 10, 100)\n", "\n", " # Thrust and AoA trim results storage\n", " thrusts = []\n", " alphas = []\n", "\n", " # Initialize the minimum thrust and thrust vectoring angles to a very large number\n", " # to track/record the minimum thrust and the angle at which the minimum occurs.\n", " min_thrust = 1000000 # thrust (lbf)\n", " min_angle = 100 # Thrust Vector Angle in pitch (deg)\n", "\n", " # Iterate each thrust vector angles in pitch.\n", " for tv_angle in tv_angles:\n", "\n", " # --- Simulation Initialization ---\n", " # This line initializes the flight dynamics model.\n", "\n", " # Initial conditions\n", " fdm['ic/h-sl-ft'] = altitude # altitude above sea level (ft)\n", " # Check the speed and set the value according to if the speed is mach or kts\n", " if speed < 1.0:\n", " fdm['ic/mach'] = speed # mach number of speed\n", " else:\n", " fdm['ic/vc-kts'] = speed # calibrated airspeed (kts)\n", " fdm['ic/gamma-deg'] = flight_path_angle # flight path angle (deg)\n", "\n", " # Initialize the aircraft with initial conditions\n", " fdm.run_ic()\n", "\n", "\n", " # --- Simulation running ---\n", " # These lines run the simulation.\n", "\n", " # Trim the aircraft.\n", " try:\n", " # Set thrust vector angle in pitch (deg) for both engines\n", " fdm[\"propulsion/engine[0]/pitch-angle-rad\"] = math.radians(tv_angle)\n", " fdm[\"propulsion/engine[1]/pitch-angle-rad\"] = math.radians(tv_angle)\n", "\n", " # Trim the aircraft.\n", " # 1 means straight flight by using all changeable control variables.\n", " fdm['simulation/do_simple_trim'] = 1\n", "\n", " # Record the simulation data.\n", " # Append the angle of attack to the result storage.\n", " alphas.append(fdm[\"aero/alpha-deg\"])\n", " # Append the thrust to the result storage.\n", " thrust = fdm[\"propulsion/engine[0]/thrust-lbs\"]*2 # because there are two engines\n", " thrusts.append(thrust)\n", "\n", " # Update the minimum thrust and thrust vectoring angles.\n", " if thrust < min_thrust:\n", " min_thrust = thrust\n", " min_angle = tv_angle\n", "\n", " except jsbsim.TrimFailureError:\n", " print(\"Trim failed....\")\n", " pass # Ignore trim failure\n", "\n", "\n", " # --- Plot Results ---\n", " # This section plots the simulation results.\n", "\n", " plt.rcParams[\"figure.figsize\"] = (12, 8) # Set the figure size for matplotlib plots.\n", " fig, ax1 = plt.subplots()\n", " plt.title(title)\n", "\n", " # Plot the thrust values against the thrust vector angles.\n", " ax1.plot(tv_angles, thrusts, label='Thrust')\n", " # Plot the minimum thrust as a red scatter point.\n", " ax1.scatter(min_angle, min_thrust, color='red', label=f'Minimum Thrust at {min_angle:.2f} deg')\n", " ax1.set_xlabel('Thrust Vector Angle (deg)')\n", " ax1.set_ylabel('Thrust (lbf)')\n", "\n", " # Create the second y-axis for AoA\n", " ax2 = ax1.twinx()\n", " ax2.set_ylabel('Alpha (deg)')\n", " # Plot the alpha values against the thrust vector angles.\n", " ax2.plot(tv_angles, alphas, color='green', label='Alpha')\n", "\n", " ax1.legend(loc='upper center')\n", " ax2.legend(loc='center right')\n", "\n", " # Save the figure as an SVG file.\n", " plt.savefig(f\"{title}.svg\", format=\"svg\")\n", "\n", " # Show the plot.\n", " plt.show()\n", "\n", "\n", "# Cruise conditions - 30,000ft Mach 0.8\n", "thrust_vector_range_test(30000, 0.8, 0, 'Cruise - 30,000ft Mach 0.8')\n", "\n", "# Climb conditions - 15,000ft 300KIAS flight path angle of 3 degrees\n", "thrust_vector_range_test(15000, 300, 3, 'Climb - 15,000ft 300KIAS FPA 3 deg')" ] } ], "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": "3.11.15" } }, "nbformat": 4, "nbformat_minor": 5 }