\n",
"\n",
"# Homework 2\n",
"\n",
" Changing Illumination\n",
"\n",
"[Download](https://raw.githubusercontent.com/gduscher/MSE672-Introduction-to-TEM//main/Homework/Homework02.ipynb)\n",
"\n",
"[](\n",
" https://colab.research.google.com/github/gduscher/MSE672-Introduction-to-TEM/blob/main/Homework/Homework02.ipynb)\n",
" \n",
"part of \n",
"\n",
" **[MSE672: Introduction to Transmission Electron Microscopy](../_MSE672_Intro_TEM.ipynb)**\n",
"\n",
"by Gerd Duscher, Spring 2025\n",
" \n",
"Microscopy Facilities \n",
"Institute of Advanced Materials & Manufacturing \n",
"Materials Science & Engineering \n",
"The University of Tennessee, Knoxville\n",
"\n",
"Background and methods to analysis and quantification of data acquired with transmission electron microscopes.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Load Packages\n",
"\n",
"First we need to load the libraries we want to use. \n",
"Here we use:\n",
"- numpy: numerical library\n",
"- matplotlib: graphic library\n",
"- pyTEMlib: TEM microsocpy library\n",
"\n",
"All of those packages except pyTEMlib are provided by annaconda.\n",
"### Check Installed Packages"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"installing pyTEMlib\n",
"done\n"
]
}
],
"source": [
"import sys\n",
"import importlib.metadata\n",
"def test_package(package_name):\n",
" \"\"\"Test if package exists and returns version or -1\"\"\"\n",
" try:\n",
" version = importlib.metadata.version(package_name)\n",
" except importlib.metadata.PackageNotFoundError:\n",
" version = '-1'\n",
" return version\n",
"\n",
"# pyTEMlib setup ------------------\n",
"if test_package('pyTEMlib') < '0.2025.1.0':\n",
" print('installing pyTEMlib')\n",
" !{sys.executable} -m pip install --upgrade pyTEMlib -q\n",
"# ------------------------------\n",
"print('done')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Load the plotting and pyTEMlib packages\n",
"\n",
"Note: \n",
"\n",
"On Google colab you might have to restart the session in Menu: Runtime-Restart Session (Crtl-M) !"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"You don't have igor2 installed. If you wish to open igor files, you will need to install it (pip install igor2) before attempting.\n",
"You don't have gwyfile installed. If you wish to open .gwy files, you will need to install it (pip install gwyfile) before attempting.\n",
"Symmetry functions of spglib enabled\n",
"Using kinematic_scattering library version {_version_ } by G.Duscher\n"
]
}
],
"source": [
"%matplotlib widget\n",
"import matplotlib.pylab as plt\n",
"import numpy as np\n",
"import sys\n",
"if 'google.colab' in sys.modules:\n",
" from google.colab import output\n",
" output.enable_custom_widget_manager()\n",
" \n",
"import pyTEMlib.animation as animate"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Change Illumination on sample\n",
"\n",
"Below is a stack of lenses that is equivalent to the condenser lens system on the Spectra 300.\n",
"\n",
"The objective lens focal length is usually not changed (at least not much), and the sample is in the middle of the objective lens system.\n",
"\n",
"Change the ``focal lengths`` parameters so that there the illumination changes from parallel to convergent. \n",
"\n",
"Tip: do not change the gun (first value), and the objective (last two values) values.\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "93a31605529d4373a5440f03cbc1c22b",
"version_major": 2,
"version_minor": 0
},
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4OMLDw+Hm5oaXXnrJ8Hy5cuXQtm1bREVFoW7dugWWsagAlygvtgCSybVo0QKLFi3C6NGj0aBBA7z22muoXbs2HBwcEBcXh/Xr1wOAYQDzgAED8PXXX+Pll1/Gq6++ioSEBMyZM8fwvC1o1qwZlixZghEjRiAsLAxvvPEGateujaysLERFRWHp0qWoU6cOunfvjps3b2L37t0AgBMnTgCQqR4qVqyIihUronXr1kpWpUSKW+927dqhY8eOiIqKwvz585GdnW00VqlixYo2kxS8uHV+6qmn0L59e/Tr1w+PP/443N3dce7cOSxYsAAZGRmYMmWK0lWxCS1atMD8+fMxbtw4tGzZEqNGjUJISIghEfTBgwcxf/58NG/e3Oh1GzZsgJOTE9q3b49Tp07hgw8+QL169dCnT59CP6tv3774/vvv0aVLF4wdOxaNGzeGs7MzYmNjsXPnTjz77LN47rnnULVqVbz33nv45JNPkJaWhpdeeglarRanT5/GrVu3DLNxn3zySWzYsAFLlixBWFgYHBwc0LBhw0I/39HREa+88grmzZsHb29v9OrVC1qt1mibBQsWoGXLlmjVqhXeeOMNVK1aFXfu3MGFCxfw66+/GmbWEz2UYhkI7QATSRYtOjpaDB48WFSrVk24uroKNzc38dhjj4lXXnlF7Nixw2jblStXipo1awo3NzdRq1YtsWbNGjFw4ECjJKoxMTECgPj000/zfRYAMWXKFDPX6OGio6PFwIEDRUhIiHBxcREeHh4iNDRUfPjhh+LGjRtCCCF27twpABR4a926tbIVKKWH1Tv3b1fYbeDAgUpXocQeVuf09HQxbNgwUbNmTeHp6SmcnJxEcHCwePnll8WpU6eULr7NiYyMFC+88IKoVKmScHJyEv7+/qJXr15i//79RtvlJoI+evSo6N69u/D09BReXl7ipZdeEtevXzfatnXr1qJNmzZGj2VlZYm5c+eKevXqCTc3N+Hp6Slq1KghXn/9dXH+/HmjbVetWiUaNWpk2C40NFSEh4cbnk9MTBQvvPCC8PHxERqNRuQ95RZ2zDp37pzhdxEREVHgvoiJiRFDhgwRQUFBwtnZWVSsWFE0b95cTJs2rTi7kgTP30IIoREiT14OKpGUlBRotVokJyfbVGsVEREBoaGhePTRR7Fu3Tqli0IWxvM3u4CJiEhlzp07hz179uDEiRN4+eWXlS4OkSIYABIRkarMnDkTv/76K1555RWMGDFC6eIQKYIBIBERqUpBS64RqQ3TwBARERGpDANAIiIiIpVhAEhERESkMgwAiYiIiFSGASARERGRyjAAJCIiIlIZBoBEREREKsMAkIiIiEhlGAASERERqQwDQCIiIiKVYQBIREREpDIMAImIiIhUhgEgmZwQAq+99hp8fX2h0WgQHR2tdJHMjnVmncn0lNzf/FuT3RNUasnJyQKASE5OVrooVuX3338Xzs7OYt++fSIuLk5kZWWV6PWtW7cWAIxuL774otE2iYmJ4uWXXxbe3t7C29tbvPzyyyIpKcmEtSiZstQ5JiYmX31zb2vXrjVsZ091FkKI1157TTzyyCPCzc1N+Pn5iR49eogzZ84Ynt+5c2eh++XQoUOG7Q4dOiSefvppodVqhY+Pj2jfvr2IiooyVTWNlLXOX3/9tWjdurXw8vISAPL9/WJiYsSQIUNE1apVhZubm3jkkUfEhx9+KDIyMgzbhIeHF7pfrl+/bopqWg0ljyVqPI6pCc/fQthtC+Bff/2F7t27IzAwEBqNBps2bTJ6ftCgQdBoNEa3pk2bKlNYO/Pvv/8iICAAzZs3h06ng5OTU4nf49VXX0VcXJzh9vXXXxs9369fP0RHR2PLli3YsmULoqOjMWDAAFNVocTKUufKlSsb1TUuLg4fffQRPDw80LlzZ8N29lRnAAgLC0N4eDjOnDmDrVu3QgiBDh06ICcnBwDQvHnzfPtl2LBhqFq1Kho2bAgAuHPnDjp27IiQkBAcPHgQe/fuhbe3Nzp27IisrCyrq3Nqaio6deqE9957r8Dnz549C71ej6+//hqnTp3C559/jq+++spo+xdffDHffunYsSNat24Nf3//MtXP2ih5LFHjcYxURukI1Fx+//13MXnyZLF+/XoBQGzcuNHo+YEDB4pOnTqJuLg4wy0hIaFEn8EriPwGDhxodMVbpUqVEr9H69atxdixYwt9/vTp0wKAOHDggOGxyMhIAUCcPXu2FKUuG1PU+UH169cXQ4YMMdxXQ52PHz8uAIgLFy4U+HxmZqbw9/cXH3/8seGxw4cPCwDi8uXLhsf+/vvvIt+ntExZ59zWzeK09syZM0dUq1at0Odv3LghnJ2dxapVq0pdHmuk9LFEbccxteH5Wwi7DQDzKiwAfPbZZ8v0vvwC5Xf79m3x8ccfi+DgYBEXFydu3Lghpk+fLjw8PIq8/fXXX4b3aN26tfDz8xMVKlQQtWrVEm+99ZZISUkxPL9s2TKh1WrzfbZWqxXLly+3RDWNmKLOeR05ckQAEPv27TM8Zu91vnv3rhg3bpyoVq2aUXdnXuvWrRMODg5GwV5KSorw8/MTU6ZMERkZGSI1NVWMHTtW1K5du8Rddpasc0kCwMmTJ4uwsLBCn587d67QarUiNTW1LNWzOkoeS7y9vUXPnj1VdRxTG56/hSh5m7Yd2bVrF/z9/eHj44PWrVtj+vTpdteFYmlarRZeXl5wdHSETqcDAAwfPhx9+vQp8nVBQUGG//fv3x/VqlWDTqfDyZMnMWnSJBw/fhwREREAgPj4+AL/Tv7+/oiPjzdhbYrHFHXOa9myZahZsyaaN29ueMxe67x48WK88847uHfvHmrUqIGIiAi4uLgU+Nply5ahY8eOqFy5suExLy8v7Nq1C88++yw++eQTAED16tWxdevWUnXZFcXUf+fi+Pfff7Fw4UJ89tlnhW6zfPly9OvXD+7u7qX+HGuk5LGkUqVKyMrKUtVxjNRHtQFg586d0bt3b1SpUgUxMTH44IMP8PTTT+Po0aNwdXUt8DUZGRnIyMgw3E9JSbFUcW2ar68vfH19i739q6++avh/nTp18Pjjj6Nhw4Y4duwYGjRoAADQaDT5XieEKPBxJZS0zrnS0tKwevVqfPDBB/mes8c69+/fH+3bt0dcXBzmzp2LPn36YN++fXBzczPaLjY2Flu3bsXatWuNHk9LS8OQIUPQokUL/PDDD8jJycHcuXPRpUsXHD582OxBUWn/zsVx7do1dOrUCb1798awYcMK3CYyMhKnT5/GqlWrzFIGa2PJY4mSn20tv2myb3Y7CeRhXnzxRXTt2hV16tRB9+7d8ccff+DcuXPYvHlzoa+ZOXMmtFqt4Za3JYIKN2PGDHh6ehZ527NnT6Gvb9CgAZydnXH+/HkAgE6nw/Xr1/Ntd/PmTVSqVMls9SiJ0tZ53bp1SE1NxSuvvGL0uL3WWavV4vHHH8dTTz2FdevW4ezZs9i4cWO+9w4PD0eFChXQo0cPo8dXr16NixcvIjw8HI0aNULTpk2xevVqxMTE4OeffzZrfYGyf7cLc+3aNbRt2xbNmjXD0qVLC93u22+/Rf369REWFlaWatgMSx5LvLy8FPtsa/lNk31TbQvggwICAlClShXDj7MgkyZNwvjx4w33U1JSGAQWQ1m7yU6dOoWsrCwEBAQAAJo1a4bk5GQcOnQIjRs3BgAcPHgQycnJRt2mSiptnZctW4YePXqgYsWKRo/bc53zEkIYtbLnPhYeHo5XXnkFzs7ORs+lpqbCwcHBqMUk975ery9hDUrOHF3AV69eRdu2bQ2zpB0cCr5Ov3v3LtauXYuZM2eW6P1tmSWPJdWqVUNkZKQin20tv2mybwwA/19CQgKuXLli+HEWxNXVtdDuYSpcSbpO/v33X3z//ffo0qUL/Pz8cPr0abz11lsIDQ1FixYtAAA1a9ZEp06d8OqrrxrSKrz22mvo1q0bnnjiCbPVoyRK0zV44cIF/PXXX/j999/zPWdvdf7vv/+wZs0adOjQARUrVsTVq1cxe/ZsuLu7o0uXLkbb/vnnn4iJicHQoUPzvU/79u0xYcIEjBw5EqNHj4Zer8esWbPg5OSEtm3bmqReRSnp3zk+Ph7x8fG4cOECAODEiRPw8vJCSEgIfH19ce3aNbRp0wYhISGYO3cubt68aXht7li0XGvWrEF2djb69+9vmsrYAEseSx4cn6fG4xjZOSVnoJjTnTt3RFRUlIiKihIAxLx580RUVJS4dOmSuHPnjnjrrbfE/v37RUxMjNi5c6do1qyZCAoKMpql9TCcRVSwzz//vNQpMi5fviyeeuop4evrK1xcXMSjjz4qxowZky9FT0JCgujfv7/w8vISXl5eon///oomUC1LnXNNmjRJBAcHi5ycnAKft6c6X716VXTu3Fn4+/sLZ2dnERwcLPr161dg+ouXXnpJNG/evND32rZtm2jRooXQarWifPny4umnnxaRkZGlKtfDlPXvPGXKlAITOIeHhwshik7y/KBmzZqJfv36lbostkDJY4kaj2NqwvO3EBohChjtagd27dpVYAvAwIEDsWTJEvTs2RNRUVG4ffs2AgIC0LZtW3zyyScl6tJNSUmBVqtFcnIyvL29TVl8IiIiMhOevwG7DQAtgV8gIiIi28Pzt4pnARMRERGpFQNAIiIiIpVhAEhERESkMgwAiYiIiFSGASARERGRyjAAJCIiIlIZBoBEREREKsMAkIiIiEhlGAASERERqQwDQCIiIiKVYQBIREREpDIMAImIiIhUhgEgERERkcowACQiIiJSGQaARERERCrDAJDKLCUlBR07dkSbNm0wcuRIpYtjMUOGDEGbNm3QrVs3pKamKl0ci/j000/Rpk0bPPXUUzhx4oTSxbGIbdu2oXXr1mjdujVWrlypdHHs3jfffGPY37t377bY5woh8NJLL6FNmzbo1asXsrOzLfbZRErQCCGE0oWwVSkpKdBqtUhOToa3t7fSxVHMtWvXEBQUBABwcHBATk6OwiWyDHd3d6SnpwMAQkNDcezYMYVLZH5169Y1BH4hISG4dOmSwiUyv7Fjx+KLL74AAHh7eyM5Ofmhr2nYsCHi4+Oh0+lw5MgRcxfRrjzzzDP4888/AQCVKlVCfHy8xT7bycnJcPxq0KABjh49arHPJsvi+RtwUroAZPvyXimr9XrCkicpJeX9+6akpChYEsvJW+eMjIxivSY+Ph5Xr141V5HsWt79fe/ePcXKoZbfNKkXu4CpzK5du2b4v1oCQL1ebxQMqKXVMzMz0/B/tfyt8/6d1VJnJSn1Hbt7967R71iv11vss4mUwACQyiw2NtbovpJX7ZZy48YNo5OTWgLAO3fuGP6vlhPk3bt3Df9XS52VpNR37MHjmFp+06ReDACpzK5cuWJ0/8EDqT16sM5qOFkIIZCQkGC4r4Y6A8ZdgQwAzS/vd4wBIJH5MACkMnvwwKmGAFCNJ4tbt24Zdc+poc6A8d9ar9ezG9iMcnJyjAJuS37H1PibJnVjAEhlxgBQHScLNdZZCJGv3omJiQqVxv7Fx8cbfa8s+R1TY6s+qRsDQCqzBw+cD963R2o8WRRUZ3tvDUtKSsqX41EN32+lPBhsCyEslmNTjRc4pG4MAKnM2AKojpNFQSfn4uTEs2UFfZfV8P1WipL7W42/aVI3BoBUJjk5OUZpYAB1nCDVeLJQYzCkxjoriQEgkeUwAKQyuX79er4DpRpOkAW1huVNX2GP1BgMqbHOSiqoe91S+7ugIQ4MAsmeMQCkMinogG3vY6T0er3hpKTRaAyP23tgoMa/tRrrrKSCfkOW2N/37t1DUlISAOPf9I0bN8z+2URKYQBIZVLQATsxMdFiA7eVcPPmTWRlZQGQax/nsvcAUI1BL1sALUup/Z132T41/aZJ3RgAUpkUdoC053VQ89bZ0dGxwMftTd50KGo6QTIAtKzc1j5LX2TkbWXM+5tmay/ZMwaAVCaFHZzt+SSpxgAwMTER6enpAAAnJyfD4/ZcZ6DwVk97T3+jhLwTyiz9HVPjb5qIASCVSWFXyPZ85Zy3bnlPVGqps1paSIQQhvrlrXNqaqphvBiZzo0bN5CdnQ3A8t+xvIGemi5wSN0YAFKZqL0FUC0nCzW2kCQnJ+PevXsAjOsM2He9lVLYRUZCQgLS0tIs9tnOzs4FPk5kbxgAUpkUNC4s7+P2iAHg/ZPznTt3kJKSokSRzK6wOj/4HJlGUfvb3GOK1fibJmIASKWm1+sNB2Y1nSDVeLJQYzCkxjorScn9nfv+zs7OqvlNEzEApFK7fv16gWN2APvuOsmtm4+Pj1HLZ1JSkqHL0N4U1j334HP2RI11VpKS+zv3/YOCgowm/Fy9ehV6vd6sn02kFLsNAP/66y90794dgYGB0Gg02LRpk9HzQghMnToVgYGBcHd3R5s2bXDq1CllCmujCrpiz/3XXq+c86ZDCQ4Ozve8vdZbja1haqyzkpTa36mpqUhMTASQ/zedlZXFZNBkt+w2ALx37x7q1auHL7/8ssDn58yZg3nz5uHLL7/E4cOHodPp0L59e7tfzsuUigoAb926ZUgbYk9u3bqFzMxMAOoMAD09PY1aSPI+Z28YAFpW3n1qyTHFeccXquk3TWS3AWDnzp0xbdo09OrVK99zQgjMnz8fkydPRq9evVCnTh2sXLkSqampWL16tQKltU0FddnY+wzRvHWuXLlykc/bi7zpUCpXrpwvALTHOgMFf79z626vdVZS7vGiQoUK+QJAc+7vvMepgn7T9ngcIwLsOAAsSkxMDOLj49GhQwfDY66urmjdujX2799f6OsyMjKQkpJidFOzoloAH3zeXuStk1paC5KSkgxpONRSZ+B+vdzd3Q2BX94hDkwGbTp5J5RZ+juWN7gs6LMZ7JO9UmUAGB8fDwCoVKmS0eOVKlUyPFeQmTNnQqvVGm4FXS2qSUFdNgwAWWd7kXes54MB4L1795CcnKxY2ezNjRs3DOtr5/2OWWJMsVq/30ROD9/Efj3YlSWEyPdYXpMmTcL48eMN91NSUlQdBE6YMAFdunTBlStXDGMtXV1d8fnnnyM4OBhNmzZVuISm16VLF6xZswaxsbFo3ry54XFvb28sXrwYdevWVbB05hESEoJNmzYhNjYW1atXx7Zt2wAAWq0W8+bNwyOPPKJwCU1PCIG1a9fiypUrcHJywgcffAAA8PDwwPz58xEcHAw3NzeFS2k/vL298csvvyA2NhYBAQEYNWoUAMDLywuffvqpWY+zffr0waOPPoorV66gQYMGRmX66quvUL9+fbN9NpGSNEIF/RgajQYbN25Ez549AQD//fcfHn30URw7dgyhoaGG7Z599ln4+Phg5cqVxXrflJQUaLVaJCcnw9vb2xxFtxnBwcG4evUqgoKCVHXFrMZ6s84Pr7Ma95EpKbn/+LdTB56/VdoFXK1aNeh0OkRERBgey8zMxO7du41adYiIiIjskd12Ad+9excXLlww3I+JiUF0dDR8fX0REhKCcePGYcaMGXj88cfx+OOPY8aMGShXrhz69eunYKmJiIiIzM9uA8AjR46gbdu2hvu5Y/cGDhyIFStW4J133kFaWhpGjBiBpKQkNGnSBNu2bYOXl5dSRSYiIiKyCLsNANu0aVNkmgaNRoOpU6di6tSplisUERERkRVQ5RhAIiIiIjVjAEhERESkMgwAiYiIiFSGASARERGRyjAAJCIiIlIZBoBEREREKsMAkIiIiEhlGAASERERqQwDQCIiIiKVYQBIREREpDIMAImIiIhUhgEgERERkcowACQiIiJSGQaAREREpCpCKF0C5TEAJCIiItW4dAl4/nmlS6E8BoBERERk9/R6YNEioE4dYMcOpUujPAaAREREZNf++Qdo3RoYNQq4exdo0kTpEimPASARERHZpexsYNYsoF49YO9ewNMT+PJLYMsWpUumPCelC0BERERkatHRwNChwLFj8n7HjsDXXwNVqgApKYoWzSqwBZCIiIjsRno6MHky0LChDP7KlwdWrgT++EMGfySxBZCIiIjswv79stXv7Fl5/4UXZJdvpUrKlssasQWQiIiIbNrdu8CYMUDLljL40+mA9euBn35i8FcYtgASERGRzdq2DXjtNZnfDwAGDwY++0x2/VLhGAASERGRzUlKAsaPB1askPerVAGWLgU6dFC0WDaDXcBERERkUzZsAGrVksGfRiO7f0+eZPBXEmwBJCIiIpsQHy+TOa9fL+/XqAF8+y3QooWy5bJFbAEkIiIiqyYEsGqVbPVbvx5wdJSpXqKiGPyVFlsAiYiIyGpdugS8/jqwdau8HxoKLF8O1K+vaLFsHlsAiYiIyOro9cCiRUCdOjL4c3WVy7odOsTgzxTYAkhERERW5Z9/gGHD5Pq9gMzv9+23wBNPKFsue8IWQCIiIrIKWVmyla9ePRn8eXrKVsDduxn8mRpbAImIiEhxUVFyGbeoKHm/Y0fg66+5fq+5sAWQiIiIFJOeLmf0Nmokg7/y5YGVK4E//mDwZ05sASQiIiJF7N8vW/3OnpX3X3gB+PJLrt9rCWwBJCIiIou6e1eu3tGypQz+dDqZ3++nnxj8WYpqA8CpU6dCo9EY3XQ6ndLFIiIrc/kykJj4BYCNyM6upnRxiGzetm0ytcvChTLB8+DBwOnTQK9eSpdMXVQbAAJA7dq1ERcXZ7idOHFC6SIRkZXIygLmzpUrD6Sl9QLQE9evR+DTT4HsbKVLR2R7kpJksNexo0zuXLWqDAaXL5fj/siyVB0AOjk5QafTGW4VK1ZUukhEZAX27wfCwoAJE4B79wAXl0MAIgC44Z13gGbNgL//VrqURLZjwwZ5MbViBaDRyO7fEyeA9u2VLpl6qToAPH/+PAIDA1GtWjX07dsX//33X5HbZ2RkICUlxehGRPYjIQF49VW5tuiJE4CvL7BsGeDn9zyADvDxGQ8fH+DIERkgfvghkJGhdKmJrFd8vJzY8fzz8v81asj8fgsWyBx/pBzVBoBNmjTBqlWrsHXrVnzzzTeIj49H8+bNkZCQUOhrZs6cCa1Wa7hVrlzZgiUmInMRQrZM1KghVxsAgCFD5GoEQ4YAGo0AAHh4rMXp08Bzz8lu4E8+ARo0AA4cUK7sRNZICJnKpVYtObnDyUmmeomKApo3V7p0BKg4AOzcuTOef/55PPnkk2jXrh02b94MAFi5cmWhr5k0aRKSk5MNtytXrliquERkJqdOAa1by7FJt24BtWsDe/bktvzl3z4g4P5sRX9/OXi9eXPgzTdldzGR2l26BHTuDAwaJMf9NWgAHD4MTJsGuLkpXTrKpdoA8EEeHh548skncf78+UK3cXV1hbe3t9GNiGxTaiowaZJcVH7PHqBcOWD2bNlC0bJl0a/VaGS31unTwCuvyNaO+fOBJ58EduywROmJrI9eL3P41a4NbN0KuLrKZd0OHpS/M7IuDAD/X0ZGBs6cOYOAgACli0JEZvbbb7JratYs2ZXbo4cM5t55B3B2Lv77VKhwf8WCkBAgJgZo1w5ISpoDQGu28hNZm3/+AZ56Chg9WraEt2wJHD8OvPuu7P4l66PaAPDtt9/G7t27ERMTg4MHD+KFF15ASkoKBg4cqHTRiMhMLl+W4/e6d5fdVJUrA5s2AT//XLYlpzp1Ak6eBEaOlPdTU/sBOI20tA6mKDaR1crKkhdS9eoB+/bJiR2LFgG7dwNPPKF06agoqg0AY2Nj8dJLL+GJJ55Ar1694OLiggMHDqAKFx4ksjt5c/pt2iRbJCZMkK1+zz5rms/w8pLdX3/9BTg5/QsgEImJy9G3L3Djhmk+g8iaREUBTZrIoRQZGfcvhEaMABxUG13YDtU2zP74449KF4GILGD/fmD4cJnWBZApXpYskeP1zKFVK8DfvwOuXRsGYALWrHFCRIRMe9G/vxw/SGTL0tPlDPjZs4GcHJkuaf584OWX+f22JYzRicguFZbT76+/zBf85dJoMgC8h4oVu6F+fSAxERgwAOjWDWDyALJl+/bJCR0zZsjgr3dv2ZI+YACDP1vDAJCI7MrDcvpZsmvKxeUkDh0Cpk8HXFyA33+XMySXLJEzJolsxd27cvWOVq3kb0mnk6t7rF0LVKqkdOmoNBgAEpHdKGlOP0twdgbeew+IjpZLyN25I8dItW0LFJF1ishqbNsG1KkDLFwoL7CGDIEhITrZLgaARGTzCsrpN2dO8XL6WUrNmrJsX3wBeHjIrui6dWU5s7OVLh1RfomJ8mKqY0c5a75qVSAiQl5QlS+vdOmorBgAEpFNezCn37PPytaJCRNKltPPEhwdZZ60kyeB9u3lYPp33wWaNgX+/lvp0hHdt2GD/F2tWCHH9o0dK8fStmundMnIVBgAEpFNejCnX0iIzOe3aVPZcvpZQtWqcqWE8HDAxwc4ehQICwM+/FCm0yBSSny8XOXm+eeB69flWNq9e+UsX09PpUtHpsQAkKiU1q0Drl/fBuB9COGodHFUo6Ccfu+8I1v9evRQunTFp9HItVJzx1JlZ8vUGg0aAAcOKF06Uhsh5Ko2tWrJta6dnIDJk+UwiubNlS4dmQMDQKISys6W3Xa9ewPZ2bUAfIJbt37CxYtKl8z+7d8vW8omTLi/3FRUlMxH5uGhdOlKJyBAdretWydnU54+LU+4b74p60hkbpcuAZ07ywuSpCR5EXL4MDBtGuDmpnTpyFwYABKVwK1bMtv9nDnyvrv7JgApyMxsjHr1gNWrlSyd/Xowp1+FCnIg+u7dcnaitdHpdAgKCoJOpyv2a55/XgZ/AwfK1pj582W+wh07zFdOUje9Xq5eU7u2HJLg6irH0h48KCdUkX1jAEhUTLnjtHbskK1Na9YAvr6jANSHi8sRpKTIlR4GDABSUpQurX0oLKff2bOWz+lXEkeOHEFsbCyOHDlSotf5+sr6btkixzTGxMhB98OGAbdvm6WopFL//AM89ZSclHTvnszv9/ffsnfDSbVrhKmLlR4+iazLihWy9enyZeCxx+QYrT59cp+NgZ/f8/jwQxmQfPedvHqOjFSuvPbAGnP6WUrHjnKm8MiR8v6yZXJs1s8/K1susn1ZWcDMmUC9enJVD09PYNEiYNcuoHp1pUtHlsQAkKgImZkyae/gwXJ2ZrducmzMg92OGk0OPvpIdklWqSJbblq1koP6c3KUKbutsoWcfpbg5SW75/76S56Y4+KAnj2BF1+UszOJSioqCmjSRCYmz8iQw1lOnZLHOGttTSfz4Z+cqBDXrgFt2shluzQa4KOPZAuMj0/hr2nZUq748NJLMvD78EP5HpcuWabMts6WcvpZSqtWwPHjwMSJMo/g2rVyH333newiJ3qY9HQZ9DVqJINAX19g1Sq5NGFIiNKlI6UwACQqwJ49ciZcZCSg1QK//gpDF+/D+PgA338vD7BeXjKHVr16wI8/mr3YNsuWc/pZgpub7LY7dEi2jCYmyrGmXbsCV64oXTqyZvv2ye/MzJnyorRPH3lRNWCAvLAl9WIASJSHEHK9y6eflt1sdeoAR47IE21JaDTyABsdLVd5SE6WrYIDB8q1YEmyl5x+ltKggQwCp08HXFyAP/6QYyOXLJEzOoly3b0LjBkjW5D/+QfQ6YCNG+XktUqVlC4dWQMGgGTQsGFDBAcHo2HDhhZ/X3N9dknePzVVBmhjxsjux7595WSPxx4r/ec+8ohsTcxtPVy1Sl6NHzxYtrLagwdz+nl6RsHX9xns2NHQZnP6WYKzs+zOO35c5gu8c0eO4dJqj+L8+ZK/n5K/e3Pw8PCAo6MjPBT4ElnLb3fbNnnxunChvKgdMkReVPXsqWixyMowACSD+Ph4XL16FfHx8RZ/X3N9dnHfPyZGzvL93//kOKt582ROP1OcQ5ycYJggEhIC/Pef/Kxp0wqeIGLufaG0wnL6eXv3wI0bf9ptvU2tRg15caHVfgDgLu7eDUPdunLCTHZ28d9Hyd+9OaSnp0Ov1yM9Pd2inwso/9tNTJQT1jp2lEMpqlYFIiLk76t8eUWKRFaMASCp3tatsiUqOhqoWFEeMN980/TjY1q2lK02ffvKwO+DD4C2beX4NzV4WE4/jYYzGkrKwQHw9AwHUAeurruRni7zuDVtKr9rpB7r18uhFCtWyGPX2LHyAqtdO6VLRtaKASCplhDAjBlyCaSkJDlD7uhRGZSZi4+PbFlcuVLm39qzB6hbV47LsWdqzulnGZdQoUJ/hIfL79jRo0DDhvIiIyND6bKROcXHAy+8IG/XrwM1a8qJH/Pny2MMUWEYAJIqpaTIpbcmT5aB4LBhMt9a5crm/2yNBnjlFdni2KSJnCDSt69ch9PeJogwp5/laDTyO3T6tJxRnZ0thxmEhjIpuT3KbVGvVUu2/jk5Ae+/L39bzZopXTqyBQwASXXOnAEaN5Yz4lxcgKVLgW++sfyi548+KoOi99+XXXkrV8qTdWZmfcsWxEyY008ZAQHAhg3AunVytueZM3K85bhxcrIN2b6LF2US58GDZe9FWJjMVvDJJ3I9X6LiYABIqpKW1gmNG8u0CEFBstXv1VeVK4+zszxo79olJ4j8+y9w8+YmAO9BCNv8eTKnn3V4/nkZcA8cKFuLFiyQM0O3b1e6ZFRaer1cHaZOHTnT180NmD1bZiuoV0/p0pGtsc0zDFmNpCTZknb79jQA3yMzs7bSRSqQDKamIzHxW9y9K8ejHT0qu2CtQe5qDy++CABOAKbj1q21NpXklzn9rI+vr+wm3LJFBuIXLwLt2wNDhwK3bytcOCqRf/4BnnoKGD1atuTmHjPeeUf+1ohKigEglUhammxBmDRJTprw8wN69QLu3RsEoB9u3vwZ332ndCmNJSQACQn/A/AeADnDNyLC+pKh+vgAP/wA+PiMA3AHmZlNUbcu8NNPChesGPbtk0mKc3P6tWwpxyLNnm2aVDpUNh07AidPAqNGyfvLl8tA/eeflS0XPVxWllzFo149+Tvz9AQWL5a9BtWrK106smUMAKlIOTly5YEZM4BnnpG5pNq3l+O6jhyRXRI1agAeHisA/AHADQMGyGTKWVkKFx4yCGnYEMjIaA0gFeXLj8S8edY7Bk2jATw81gEIhbNzFG7flks3DRkiM/tbm4QEOYGmZUsZYOTm9Nu9W3ZTkfXw8pKJgffsAZ54AoiLk4mBExMXA/BXunhUgKgo2Uvx3ntyNnenTnJG/RtvFG9ZSqKi8CtE+WRlPYYvv5TjuCpUkAegyZOBP/+UB6HAQDmLdeVKIDZWDjL38XkfQFd4eX0O4P5yanFxytXju+/kSgkXLwKOjhcBNEW5crbS5PEvKlZ8DpMny6AwPFxOEDl8WOly3XfvXh888YQM+ADjnH48OVmvli3lDPRJk2TS87S0HgBOIzW1FwRTMVqF9HQZ9DVqJINAX1+5itDvv8uufCJT4GGacPWqPLgkJs4HEIsbN3Zh9Gg5jis5GdBqZUvBwoUy2IuNlcHfK6/IiRT3CXh7f4ZffgG8vYG9e+XstIyMMIvWJytLtkAOGCAPpJ07A/7+XQGcsGg5ykqjyca0abKrp3Jl4MIFGdDmLuqulKys6gB24/bteUhIYE4/W+TmJlv1Dx0CnJ1PAqiApKQv0LWrehKTW6t9+2TapNzfeZ8+chztgAGmT05P6sYAUIVyJ26MGiWThgYHy5mCaWkvAAgCkI5nnpEniIMHZeLe3O1r1Hj4Qah7d9lSVauWbAG8desnAG9YpHUhPl62PC5cKO9/+KFMR+LgkGz+DzeTp56Sg7379JHpVN57T3bHW3qCiF4PfPopcOPGFgBPQaNJZU4/G9egAVCxYjfI8bEZ+OMPGdAvWSL/3krR68sBqIKcHD/cuVOype1s1Z07coJHq1ZywodOJ4+7a9ZY33hlsg+cO6QC6enyqnLHDjmB4+hR44O7g4NsqTtz5kvcvbsRgYGXsH37hTJ9ZvXqMngcMgT46ScXAItx+3ZrpKUB7u5lq09hIiNl6ou4ONkC+d13Mhi1B+XLAz/+KMcAjR4tx9jVqydzGL7wgvk//+pVeZGwYwcAuAD4Ff7+0zBhwkHzfziZlUaTDWAm/P334bHHdmP/fmDECDkh6dtvLTvRICcHWLQIiI+PAuCB+Hj5WwbkTFd39/u3cuWM7+fe9PplAFKh16fj/feL3ragx4WwcEJQyOUoX3vtfuvr0KHyYovr95JZCSq15ORkAUAkJycrXRQj2dlCHDokxIwZQjzzjBBubkLITGD3b088IcTIkUJs2CBEYqJ8XVBQkAAggoKCSvyZhb1WrxfC2/sTAWQLQIgGDYS4eLH4ry8OvV6IxYuFcHaWdatVS4h//jHd+xfFHO/7sPc8f16IRo3u/y2HDBHizh2TfXw+GzcK4esrP6tcOSF8fCbYzL40FXsuW97X5+QI8cUXQnh4yL+3m5sQs2cLkZVl/nKdPi1E8+Z5j1Pp+Y5blrllC+BbERBQy+x1TkgQYuDA+59dtaoQEREl/lgqBWs9f1sSWwDtgBCyy2DHDnnbuTN/jq/AQNltmHsLDrZM2TQawMvrK6Sk7ISDw084dswXYWGyNcsUi5SnpcnWihUr5P3evWWKC3teA/Oxx2SL7tSpcpzQ8uVyDN7q1XLGs6ncuweMHy9bGQHZXbh6NfDMM6uZQ85OOTjIFubu3WWLVEQE8O67shty+XLzJBvOypLLA378MZCZKX+7jo6TkJw8G4GBgbhwIRZpafK3npoKw/8Le2zcuIkQwh1AOYwaNaFEr5XrJjsCGIrr17th40Y5Gc4c1q8HRo6U6/dqNMDYsXLpPqZNIotROgK1ZUpeQVy9KsSqVUK88ooQQUH5r2K1WiGefVaIhQvllbVe//D3NEcLYN7nKlVqLMLCZPkcHGTLQm65SvPZFy8Ko/ebM6fwetpTC2Beu3YJERws94GTkxAzZ8oW4LI6dky2Eud+nyZMECIjo+TlKwl7bmUzJ1O2AOal1wsRHi6Ej8/979f77wuRnm66ch09KkS9eve/Z507C3HpUtnq5ODgIAAIBweHEr82O1sIP7/nBHDGUKbevYWIjy/e64tT7rg4IZ5//n6da9YUYv/+EheVyogtgLa61pQK3b4tZ+WOHi0nbgQFyVm4q1bJ8VkuLnLyw/TpclmgW7fk9rkTPaxh9piT01Xs3SvXr9TrZctC795y8HNJbd8uxy0ePSpT1WzbJpMQW0M9Lal1a+Dvv+V+zM6WqT3atZMztUtDr5ereTRpIluVAwPlvp4zR37HSD00GmDQIDnzv1cv+f2aNk2mI4qMLNt7p6XJ72rjxnKCk68v8L//AZs3K5vmxNERcHU9BKA+PD0XwtFRJmKvWVMea8sykU0I2VNRq5Zs/XNyAj74QE6iatbMVDUgKj4GgFYqPV3m3XvvPXkyrlBBdkV8+aXMtabRyO6+d9+V3TS3b8vu39ztrXVpIDc3mS5kyRKZjHn9elnerKxHivV6IWQw0rGjTEKcGwQ+84yZC27Fype/30Xn4SHTxtStK/dtSVy7JvfrhAmyW+6552RwqeZ9S3I26vr1wLp1cjbqmTNAixbAuHFymEBJ7d0r05zMmmWc5uTll63pAi4DWu1sHDoky5qUJCdBdelSujQ5Fy/KCVyDB8v3CguTifQ//hhwdTV12YmKhwGglcjJkQeEWbPkShvly8sT78yZMleXXi9n440YIQ/Gt27JVCuzZskWH3PNrDUHjQYYPlzOZA0MlCeUmzd/A1D0grF37siTxbvvyv0xaJAc+1alikWKbdU0GnlyyV35JClJzg5+9dXinaR//lkGjdu3y+/S11/L71mFCuYvO9mG55+XgdrAgfJCbMECudrL9u3Fe/2dO7JHolUr4Nw520hz0qDB/ZWQXF3lmsq1a8ul2IqTJkevlymp6tSRvRRubnJ5xAMHzDOekqgkVB8ALl68GNWqVYObmxvCwsKwZ88ei3xu7sSNxYtl94qfn8z6PmmSPKCmpwMBAfKqeMUKmfPtn39kioRevWSXia1r1ky23rVqBQjhDeBnpKS8XWCS43PngKZNZSuEs7Pcb8uX21bgawmPPw7s3y+/RxqNTOPRoIG8uChIaqoMxnv2lC2qoaHAsWNyAoD1tMaQtfD1lcejLVtkV+3Fi/KCdejQ/BPP8tqyRQZBixbJ+0OHymCyZ0/zl7msnJ3l7yk6WiZiv3tXTt5o00Yelwpz9qzM4TlmjLwIa9VKdne/84719tCQuqg6AFyzZg3GjRuHyZMnIyoqCq1atULnzp1x2Uyp8OPiZG66QYPkwbNGDXkg2bhRHjy9vYEePYAvvpDrPV69KsfFDBxouVm7lqbTya5rDw+5ntidO+PQrRuQmHh/m19+kcHx6dMyKN61S66FyQClYM7OssXizz/lWNFz52SwPXu2catFVJTsivr6a3n/7bfl2K4aNZQpN9mOjh3l2s+jRsn7y5fLsW2bNj24pS8SEz9H586y67RqVTlk5dtvbS/HXY0assfhiy/kUIs9e2Sr+ezZDyaqdsKdO6NQr56cre/pKS9Yd+2ybE5FoodSehaKkho3biyGDx9u9FiNGjXExIkTi/X6h80iun1biE2bhBg9Ws70enCmrouLEG3bCjFtmhAHDpQu15YpmXsWcFHvK7fpLzSaVAEI8cgjcobgBx/c318tW8oZdKVhSzNXTfmeCQnGMw7btpWzLOfOvZ83MSCgZLnHbGlfmoo9l62sr9+zx3jGeO6sWV/f1wQQLwAhNBohxo0T4u5d85epLLOAi/vZMTFCtG9/v84NGggRHS1ExYodBHAs36xmsj6cBaziPICZmZk4evQoJk6caPR4hw4dsH///gJfk5GRgQyZKAoAkJKSkm+b1FQ5Ju3OndycUsZ8fWWrl04HVKwouwLOnJE3pSUmfgEgFYmJ5fDyy6V5bRoSE8uhf/8Hn1toeN8Hn3twGxeXSDg5PY3//pOtU7mqV5etWW+9VbJylaQM1vK+pn5PFxc50ebIEZkjsmrV+7MZg4Plc+Hh8lb88t0r1fek6Pct/ffP3Oy5bKaoW2ioPJadPi1nza5bBwghm5Y1mhS0b++NmzeB1183f5n0+lUABPR6jVn3R8WKcljKsWPyVr8+AGwBoAGQgebNXeHrKyfmkfXJylK6BMrTCGGJFVqtz7Vr1xAUFIR9+/ahefPmhsdnzJiBlStX4p9//sn3mqlTp+Kjjz7K93hycjK8/3+9orQ0ubwQERERWasUAFqj87faqLYFMJfmgYFkQoh8j+WaNGkSxo8fb7ifkpKCypUrG23j6ChTJNy4IWdi3rpl/B5OTkC1anKwfvXqsgXGwUpGYn700VQkJydDq9ViypSppXytN6ZONQ6Sp06dYnjfB597cBt395bIzn4BWVlyxlx6unz+kUfk2Ekvr1JUrJhlsJb3NfV7ZmbKWb65DduennIgOyBbMQYMAB74Gj+kfKX/nhSlLN8/c5NlS4FW622lZSv9fjPFfk9MBNauvT8pwtsbSEnJAuAMIAPPP++K5s2LP263LGV6663xhuP4Z5/NK9FrS/LZ6enA77/LtDZA7vEqDYA7AIFWrTTo0oVpXqxVWhowebLSpVCYsj3QysnIyBCOjo5iw4YNRo+PGTNGPPXUU8V6j+KMIYiNLXrFDh8fIXr2FOLLL4U4c6Z4K3aYi5JjAAMDqwhgnmG/dOggxK1bcq1iLy/5WGCgEJGRJS5asctgLe9ryveMijIef/r223Ilhz//vP99dHaWq7Lk5Fi+fJZ4X1Ow57KV5fXZ2UIsWFDw2sH+/k8JYK/hu9eqVf41us1RJkuMAdyyRYiQkPu/q6FDhUhKEiIgoLYAwg2PV60qxLZtpSoGmRnHAKp4JRAXFxeEhYUhIiLC6PGIiAijLuGyCgqSLSwrV8pULmfOyGTOzz0HaLX3V/jIXbGjcmU56/d//5OJedXg+nXg1q0fALwJQI6Z+f33+8mvDx2SM/CuXZNpFb7+umwZ+dVArwfmzZPj+86ckbOnt20DPv1Utki0bStTUvTqJcfCvPsu0KGDnHlOVBxnzsjf49ixBac5cXb+F0AraLXvG2bN1qsnE7kbz5q1HYmJsieiUyc5q7laNZm269tvAR8fwMHhNoDBqFChvyFNTocOMu1NUpKiRSfKR7UBIACMHz8e3377LZYvX44zZ87gzTffxOXLlzF8+HCzfJ5Gcz/1y4YNMu9abpLRZ56RJ+arV+WSQ6+8IoPHmjXl8m+bNhWdZ8tWHTwoJ3tkZjYDkAJf32GYPl12peeqUUPup9xgZfhwmeA4t3uYjMXFAZ07ywkzmZkytdDff8t8bXlVqCAH63/zjRy3umOHTGuRP5UH0X1ZWfKYVb++HFZQdJoTAU/PFTh5UgZC6enyYqNJExks2pL162Wqm5Ur5bF83DjgxImCV8pxc9tdYJqcjRstWmSioindBKm0RYsWiSpVqggXFxfRoEEDsXv37mK/1tRNyKmpQmzfLsTEiUI0aiSEg4Nxd7GDgxCNGwsxaZIQO3YIkZZmko81sHQX8NKlMhWOXGj+nACeKPKz9XohZs68v18aNix+igVb6rYsy3v+8osQfn5y/7i7C7FkSfGGFZw9K0RY2P3v2muvFZ6yw5b2panYc9lK8vqjR4WoX//+96RTp8J/gw++r14vRHi4HPYif/NCvP++HJJgyjqZugv42jUhevW6X+eaNYXYv794rxWi8DQ5pCx2AQuh+gCwLMz9BUpMlGPgRo40PoDk3tzchGjXTgZFhw/L8ThlYakAMD1diGHD7tfjueeECAh4otifvXWrEL6+8rV+fnI8mznrZun3Lc173rsnxBtv3N+n9eoJcfp0yT43I0OId96ROdsA+Z07dsw05SsOew6yzMkSAWBqqrwwdXSU3w1fXzm2uaiLi8LeNy7u4QGVNQSAgYFB+QLWDz4oOGB9WLnT0uSFe0n2H5kXA0AVjwG0BeXLyzFwX34plxW6ckUuwzRggFxDNz1djj+ZNEmulOHnJ9frXLxYzsazxnFyV67IcUPffiu7UWbMkF0rDg53i/0eHTrIJeRCQ+Us63btgM8+s876WsLx43L93yVL5P3x42XXes2aJXsfFxe5qsH27fL79c8/sqtu7tzirXtK9mnvXtndO2uWXLO8Tx+Z72/AgNKtxqPTyd/8unVyDeAzZ2TmhHHj7s9OV14VJCR8h8GD5dCbsDCZR/Pjj0s3q9fNTR7rDh2S+zIxUQ7z6dpVjiUkUgIDQBsSHCwniKxaBcTGyoPwwoXAs8/en1CyYYMcY/jEE3K5uUGD5PJzcXFKlx7IyGiGsDB5EPT1leuD5q5ZW1JVq8pllgYMkMHJ228Dffta0wnE/PR64PPPgcaN5UlUpwO2bpXBcFlSTzz9tBwz+NxzcrzXhAly6S+1TEoi6c4dOYatVSt5QanTyTFsa9bIwK2snn9eHsMGDpQXbwsWAE8+KZeKMzchZKL+pCT5vf73X7m03eHDwN27QwGcREZGG7i5yUkrBw7ICSxl1aCBPP5Nny4vuP74A6hdW1608yKLLE31eQBtlUYjW3hq1pQH6exs2Sq2Y4e87d0rg8SVK+UNkIOQn3lGtpi1bi2DRkuQLXNv4tatOQDkFfCGDXIGXVm4u8u6NWkiWw/WrpUnlA0bZJ5FexYXBwweLAM+QE70+PZbmdfPFCpUkK00334r9+327XKCyLJlpnl/sm5btwKvvXa/dWroUDmD3NTr9/r6yl6Nl16Sn5c7a7ZcubkAZiAzMxh79sicbWlpcqWl3P8X9phevwaAO/R6dzRrVvh2hfcYyNybLi4HcPx4U5Ov3+vsLDMd9Ool9+v+/fKi/ccf5e+N6wWTxSjdB23LrHkMQWqqXN/13XflZInccV15J5Q0aSLE5MlyDF16unnGAN69K4S7+0bD5w4YIMerFff1xbV3rxA6nfwMrVaIX3817fsXRokxgL/+WrqJHqV19qxc6zT3b1iu3CoBuNvEvjQVey5b3tcnJMicpXnz2JVkneiylCslRYhRo/Ifq8x9c3AQwtNTiIoVZW4/J6dTAhguAgODzV7nnBwhvvjifh5FV1chZs1Sfl14NbDm87elsAXQTrm7y5a+du3k/cREmaZhxw7ZmnPunBwndvCg7I5wdwf0+u8B/I7MzL+Rk2OciqU0LlyQ3YhpaT0BZEGr/QgrV04rVZfvw7RoIVtAe/eWV9TduwNTpgAffmg9K62UVVqa7OpevFjer1cP+OGHko/1K6knngAiI4H335etQKmpAwA0RXr6FPN+MFlUWlpX1KwpVzHSaGR+v2nTAA8Py3y+l5cc0vLii8DTTx9HVlYQHB0z8eijgXB3h9GtXLnC77/zzigIkQqNJh0bN64u8nXu7rJFLu8xKTi4A65evQqNJsjsdXZwkGm+uneXLaAREcDEibI3Y/ly03Q7ExVK6QjUltnyFcTlyzIlw8sv3285y3srX16I558XYvFiIc6de3gL04NXvr/9Jlvi5BV2vABaFHlVbKoWlowMOWs6tx5du8oM/bbeAnj8uBC1at2v15tvFj0b0Vy2bxfCweGaoRwvvijE1aumeW97bmUzp7KWTacLFcC6ImflWrpc1jAL2NLlLkmaHCo7Wz5/m4qdtI1QSVWuLCeI5K44cuoUoNV+AOBnaDQpSEqSY8BGjJBjUqpUkWPOvv8eiI8v/H2F0ODjj+UVbXIy0Lw54O/fBcA+i9TLxUXOml6xQs6827xZzpDNyqphkc83Nb0emD9fzvI+ffr+RI9585RZY/SZZ4BKldoC+BxADtaskYm6Fy6UM0TJdggBhIcD16//CeB5AFl4/30gKgpo1kzp0qmPRiOPyWfOyPGB2dmyBTY0VLbAE5kaA0CCRiMniHh6hgPoiYCAJxEZKQ8+bdvKoCo3Bc3LL8tlxerUkV1Ev/4KpKTkvpMWiYnLMWWKPLmMGAHs3Ak4Ol63eJ0GDpSzhKtUkTP8bt78BcCLFi9HWeTkVESXLsCbb8oVPbp1k7NzO3RQtlwyZc94VKzYBY0by9miY8bIyThHjihbNiqeixflzO4hQwAhfAAcgb9/F3zyiTIXFnSfbaTJIXvAAJDy0Why0LQpMHky8OefMlXCtm1yjc+wMBkwnjoFfPGFnH3q6wvcuPEzgCNIT28PV1fZsrBokQweldKggQxI2rUDhCgH4EckJ79vI+uQdsGNGxHYulW2ZC5aBPzyi+lm+ZqCi8sp7N8v8w/6+MgxmI0by1np9rhsoT3Q62VrbZ06cryZmxvg7T0dQFM4O59RuniUh5JpckgdGADSQ5UrJ9eRnT1bBlQ3b8qr0+HDZbqVnBwgKysMwGNwdIzFvn2yK8Ma+PnJfIOenosAAHfvDkf79nKguzVKSwNu354GYDP0ej/UrSv3+YgRpcuXaG6OjvJ7cPasbB0WQgarNWrICSpqTc5tjc6ckTn9xowB7t2T/z9+HPDyWgKA/ffWKDdNzpYtMq9rbpqcoUN5kUVlxwCQSqxCBXl1umSJnE186RLg4zMewFuoWLEzwsKULqExR0dAq50J4HloNHexaxcMCamtyYkTcqzfvXuDAAAeHktx8KBMFGvtKlWS40l37JCzhq9fB/r1kxcO584pXTp1y8qSq1DUry9nyHt6ypnku3Yx55yt6NhRJqoeNUreX75cDtvZtEnRYpGNYwBIZRYSAnh4rAUwD46OSUoXpwgbULFid1SvLpNkt2plHYmNhZDd6Y0aya51B4cbADrCx+djuLkpXbqSefpp2ao0bZrsXtyxQ3ZbTZkily4ky4qKkt3ykyfLcaSdOsnv2Btv2E96JLXITZOzZ4+8yIqLk2m2+vSRF1xEJcVDAKmKs/N5HDokl8/LzASGDQNef10uC6WE69eBLl3khJqMDDnRw9+/HYBtyhTIBFxdZcBx8qQMODIz5RqqTz4px5KS+aWn318jPDpadiWuWgX8/ru8YCPb1bKl/JtOmiR7N376SbYG/u9/HHJBJcMAkFRHq5XLxU2bJsfVLV0KPPWUbBW0pM2bZVC0ZYtsLfvySznRw9Ex0bIFMZNHH5UBx08/AYGBMjF4x45yzWauK2w+e/fKBMKzZsnxuX36yMkEAwZY5zhSKjk3N9mtf+iQ7NpPTAReeQXo2vX+8n1ED8MAkFTJwUG2Uv3+u1zf9NAhOS5w927zf3Zamsz+362bnFDz5JNyosfIkfZ3gtZogBdekBMQxo2T+525A81Dr/fAqFFyaMO5czKdyMaNcn9XqqR06cgcGjSQx67p02XGhT/+kGOGFy+WM76JisIAkFStUycZfNWrJ2cGP/OMTLxsrq6UEyfkmKwvv5T3x46VB3BbmOhRFt7ewOefy33N3IHm0AE3buzAIjnZHUOHyla/nj0VLRRZgLMz8N57cuxt8+YyV+DIkUCbNpyARUVjAEiq98gjcnZkv36yRerNN2VKk3v3TPcZeSd6nDwpW2T++EMGm7Y20aMsQkNRaO5Avd5b6eLZnMREIClpHoCtyMkJRtWqMk/ct9/Klm1Sjxo15ASRL76Q6zfv2SMvbOfMgY3kPiVLYwBIBJnr8LvvZLJVR0dg9Wp5Nf3vv2V/7+vX5dic3IkeXbrIFT06dSr7e9uiwnIHXr++C0BfDmQvpvXr5eD/1NQ+APTw8PgWJ0/KxOekTg4OcnjJyZMyBVN6OvDuu7Kl/fhxpUtH1oYBIBnodDoEBQVBp9NZ/H3N9dkleX+NRnZL/vkn4O8vg7SGDWVLXWn9/jtQt658j9yJHr/9Jt+/LGW1Bw/mDtTr/QH8gDt31rPrqghxcTIP5wsvyIsLN7f/4OfXEzVqfAUPj5K/n5K/e3Nwc3ODg4MD3BRoWreW327VqnLN8PBw2dJ+7Jg8ln3wgXIZD8gKCSq15ORkAUAkJycrXRTFBQUFCQAiKChI6aKYRGysEE2bCgEIodEI8fHHQuTk5N+usHqnpQkxZox8PSDEk08KcfKkhQpvZub4W6enCzFtmhBubnJ/ubgI8eGHcj9aA2v4fuv1QoSHC+HjI/eRk5MQ778v9529UXJ/W8Pf2pTi4oTo1ev+sahmTSH271e6VMrj+VsItgASFSAoSK6UMHy4PGx++KEcUJ+c/PDXnjwpx7V98YW8r5aJHmXB3IFFu3hRptAZPFguARYWJifPfPKJ3HdEhdHp5HCBdetkq/uZM0CLFnJWvinHOZPtYQBIVAhXVzlZYdky+f9ff72/WkdBhJBdvA0bytm+/v6yC1htEz3KgrkDjen1Ml1OnTpycoebm1yT+8ABOcCfqLief17ODB84UB6rFiyQ36vt25UuGSmFASDRQwwZImfUVa4MnD8vB1T/9JPxNjk5FdCtmxyAnXeiR+fOypTZljF3oHT2rMzpN2aMbKlp1UoO5H/nHcDJSenSkS3y9QVWrJDJ50NCZMty+/YybdDt2woXjiyOASBRMTRqJFOWPP20PBn36SNPxEI4AuiEGze24/ffZUvhF1/IiR5Mvls2as0dmJUlV3moV0+mzPH0lIl9d+0CqldXunRkDzp2lMMtRo2S95cvlzPKN21StFhkYQwAiYqpYkU5s+7tt+X9Tz8FbtzYAeAP6PUVUacOcPiwbAW0txU9lFRU7kB7a7WIipJ1mzxZjoPs1EkOOXjjDdkSSmQqXl6yRX3PHjkLPy4OeO45eXF7/brSpSNL4CGFqAScnGTgt2aNTLaanf0YAMDDYzkOHZKTFsj0CssdWKMG8MMP5lu5pbQaNmyI4OBgNGzYsFjbp6cDkybJluboaNlVt2qVHA8ZEmLespK6tWwpv3MTJ8rf2U8/ydbA//3P+n5XZFoMAIlKoU8fORC/XLkfAHSCj8+HcHdXulT278HcgdevyxVc2re3rmWv4uPjcfXqVcTHxz902717ZXfvrFlyfGOfPnKw/oABbEkmy3BzA2bOlNkK6teXK8y88opMYH/5stKlI3NhAEhUSnXqAOXLTwCwVemiqM7TT8sJEdOmyZPXjh2y9XXKFNmaZgvu3JHDBZ56SgavOh2wcaNsXeb4UVJCgwYyCJw+HXBxkQnsa9eWwy/0eqVLR6bGAJCIbJIt5w7culVeQHz5pexmGzpUtvr17Kl0yUjtnJ2B996TF1jNmwN37wIjRgBt2lhXKzuVHQNAIrJptpQ7MDERGDRIBqyXL8sluyIigG+/BcqXV7p0RPfVqCEniHzxhRzvvGePHKowZw6Qna106cgUGAASkc2zhdyB69fLwfUrV8ryjh0rE4a3a6d0yYgK5uAghymcPCnH2aanA+++K1MxHT+udOmorBgAEpHdsMbcgXFxchWGF16Qk1Zq1gT27ZMrxHh6KlMmopKoWlUOWwgPl6mYjh2TKx598IFMfE+2iQEgEdkda8kdeO9eb9SqBWzYIFMIvf++zPXXrJnlykBkChqNHL5w+rTMF5idLSdhhYYCkZFKl45KgwEgEdklJXMHZmcHA9iC27c/x+3bQFiYbIH85BM5eYXIVgUEyAuadevkbPUzZ4AWLeTQi3v3lC4dlQQDQCKya5bMHajXyzGHcoWYjgDSMXu2zBlZr55pP4tISc8/L1sDBw6UF1MLFsiZ7du3K10yKi7VBoBVq1aFRqMxuk2cOFHpYhGRmZg7d+DZszKn35gxgBAeAP6Cv397vPOO7P4lsje+vsCKFcCWLXLFmosX5YXV0KH2t0yjPVJtAAgAH3/8MeLi4gy3999/X+kiEZEZmSN3YFYWMGOGbOHbt09O7NBq3wPQBs7OMSYtP5E16thR/qZGjZL3ly+XM943bVK0WPQQqg4Avby8oNPpDDdPTskjUgVT5Q6MipKTSyZPlsFkp07AqVOAp+cqAFxIldTDy0sOf9izB6heXc5+f+454MUX5bALsj6qDgBnz56NChUqoH79+pg+fToyMzOVLhIRWUhZcgemp8vVEho1AqKjZVfYqlUyqAwJsVQNiKxPy5ZyqMXEiXIi1tq1sjXwu+/MO/GKSk61AeDYsWPx448/YufOnRg1ahTmz5+PESNGFPmajIwMpKSkGN2IyLaVNHfgvn1A/frAzJkySOzTRw6GHzBABpVEaufmJn8fhw7J30piovx9dO0qV8Ah62BXAeDUqVPzTex48Hbk/4/ob775Jlq3bo26deti2LBh+Oqrr7Bs2TIkJCQU+v4zZ86EVqs13CpXrmypqhGRmRWVO1Cv9wbgidu3P0GrVsA//wA6HbBxo2w1rFRJ6dITWZ8GDWQQOH064OIC/PEHULu2/I3p9UqXjuwqABw1ahTOnDlT5K1OnToFvrZp06YAgAsXLhT6/pMmTUJycrLhduXKFbPUg4iUUVjuwOvXdwE4iXv3BkMIYMgQ2erXs6fCBSaycs7OcrjE8eNA8+bA3bvAiBFAmzamT8NEJWNXyQn8/Pzg5+dXqtdGRUUBAAICAgrdxtXVFa7M4kpk93JzBw4eLE9W//zjDwBwdLyMLVtCuH4vUQnVqCEniCxaBEyaJP9frx7w0UfA+PFMlaQEu2oBLK7IyEh8/vnniI6ORkxMDNauXYvXX38dPXr0QAhHcBPR/8vNHejt/RGAKfD3b8fgj6iUHByA0aNlypj27eVkqnffBZo2lb8zsixVBoCurq5Ys2YN2rRpg1q1auHDDz/Eq6++ih9++EHpohGRlXF1Bby8vgHwMRwcUpUuDpHNq1oV2LoVCA+/P962YUPggw+AjAylS6ceqmx0bdCgAQ4cOKB0MYiIiFRJowEGDZL5N0eOlBOqpk0D1q8Hli0DmjVTuoT2T5UtgERERKS8gABgwwZg3To59vbMGaBFC5mb8949pUtn3xgAEhERkaKef17OrB84UM6+X7AAqFMH2L5d6ZLZLwaAREREpDhfX2DFCmDLFrmizsWLcrLIsGHA7dsKF84OMQAkIiIiq9Gxo5wpPHKkvL9smVxO7ueflS2XvWEASERERFbFywv48kvgr7+A6tWBuDiZeP3FF4Hr15UunX1gAEhERERWqVUrmSNw4kS5Us/atbI18Lvv5FhBKj0GgERERGS13NyAmTPlusL16wOJicCAAUDXrsDly0qXznYxACQiIiKr16CBDAKnTwdcXIA//gBq1waWLAH0eqVLZ3sYABIREZFNcHYG3ntPdgs3bw7cvSvX627bFjh/XunS2RYGgERERGRTatSQE0S++ALw8JD/r1sXmDMHyM5WunS2gQEgERER2RxHR2D0aJkypn17ID0dePddoGlT2UJIRWMASERERDaralVg61YgPBzw8QGOHgUaNgQ++ADIyFC6dNaLASARERHZNI0GGDRILif33HOyG3jaNCA0FDhwQOnSWScGgERERGQXAgKADRuAdeuASpWAM2fkZJE33wTu3VO6dNaFASARERHZleefl62BAwfKhNHz5wNPPgns2KF0yawHA0AiIiKyO76+wIoVMl9gSAgQEwO0awcMGwbcvq106ZTHAJCIiIjsVqdOcqbwyJHy/rJlQOPGypbJGjAAJCIiIrvm5QV8+aXMF1i9OnD9utIlUh4DQCIiIlKFVq1kjsA331S6JMpjAEhERESq4eYGTJ2qdCmUxwCQiIiISGUYABIRERGpDANAIiIiIpVhAEhERESkMgwAiYiIiFSGASARERGRyjAAJCIiIlIZBoBEREREKsMAkIiIiEhlGAASERERqQwDQCIiIiKVYQBIREREpDIMAImIiIhUhgEgERERkcowACQiIiJSGbsMAKdPn47mzZujXLly8PHxKXCby5cvo3v37vDw8ICfnx/GjBmDzMxMyxaUiIiISAFOShfAHDIzM9G7d280a9YMy5Yty/d8Tk4OunbtiooVK2Lv3r1ISEjAwIEDIYTAwoULFSgxERERkeXYZQD40UcfAQBWrFhR4PPbtm3D6dOnceXKFQQGBgIAPvvsMwwaNAjTp0+Ht7e3pYpKREREZHF2GQA+TGRkJOrUqWMI/gCgY8eOyMjIwNGjR9G2bVsFS2c7fvrpJ+zduxdXrlyBXq8HAKSnp6N///4IDg5G3759ERoaqnApTevAgQNYv349YmNjMXr0aMPjCQkJGDduHNq2bYtnn31WwRKa3tWrV7FkyRLExsaiVatWhseTkpLwxhtvoGbNmhgzZoyCJTQ9IQSmTZuGK1euQKvVGh6/c+cOhg4diuDgYLz11lu8WDSRpKQkfP7554iNjUWdOnUMj9++fRuvv/46qlSpgvfee88sn7179278+uuvuHLlCiZPnmx4PDExEePHj0fHjh3RsWNHs3w2kZJUGQDGx8ejUqVKRo+VL18eLi4uiI+PL/R1GRkZyMjIMNxPSUkxWxltwebNm7Fy5UoAgL+/PwAgKysLq1evBgCEhYXZXQB48uRJzJ07FwDQunVrw+Pp6elYsGAB9Hq93QWAd+7cwfTp0wEA2dnZhsdTU1Px1VdfITQ01O4CQI1GgwULFiAhIQFVqlQxPJ6eno7ly5cDAN555x2limd3hBD45JNPAADt27c3PJ6WloalS5ciKCjIbAHg4cOH8dlnnwEAnnvuOaPP/vzzz+Hh4cEAkOySzUwCmTp1KjQaTZG3I0eOFPv9NBpNvseEEAU+nmvmzJnQarWGW+XKlUtVF3sRHBxs+H9OTo7Rvw8+by/y1ik2NrbI5+1FUFCQ4f9qqTNwv15Xr16FEALA/e93+fLl4eHhoVjZ7E358uXh7u4OwPg7ltuzYM7vmBp/00SADbUAjho1Cn379i1ym6pVqxbrvXQ6HQ4ePGj0WFJSErKysvK1DOY1adIkjB8/3nA/JSVF1UEgA0B1nCy8vLyg1WqRnJysmjoDsl7Hjx9Hdna2IRDJ/X7ba52VotFoEBwcjPPnzyM2NjZf1zoDQCLTs5kA0M/PD35+fiZ5r2bNmmH69OmIi4tDQEAAADkxxNXVFWFhYYW+ztXVFa6uriYpgz0oKgDUaDSGfWtP1HqyCA4ONgSAFSpUyPecPSro+13Qc2QalStXxvnz53Hnzh14enoaPWfO/Z33Ir6g37SaL/LJvtlMF3BJXL58GdHR0bh8+TJycnIQHR2N6Oho3L17FwDQoUMH1KpVCwMGDEBUVBR27NiBt99+G6+++ioHdZdA3gPjgwFgQEAAnJ2dFSmXOWm1WsPJ6cqVK/met9eTRW69MjIyDK1hDz5nbwr6fhf0HJlGUQG3Ofd3QECAYehPQb9pBvtkr+wyAPzwww8RGhqKKVOm4O7duwgNDUVoaKhhjKCjoyM2b94MNzc3tGjRAn369EHPnj0Ng/upeAo6YFtizI6ScruqANlakDs2LFfemeX2RI2tYWqss5KU2t8uLi6GoT8PtgC6u7ujfPnyZvtsIiXZTBdwSaxYsaLQHIC5QkJC8Ntvv1mmQHbK19cXbm5uSE9PV9UJMjg4GGfPnkVqaqpRihB/f3+7HSKgxmBIjXVWkpL7Ozg4GPHx8UbDgnIfL2piIJEts8sWQLKMvK1hajpB5q1b3rQoaqnzg3/rvLOE7QkDQMsqqsvd3Ps797OFEEa/aXb1kz1jAEhlkvfAWdDj9ihv3dRysijs5FyhQgWUK1dOiSKZnVJj0tSqsP2t0WjMPrQi72dnZWUV+DiRvWEASGVS2AHSng+cajxZFHZytuc6e3h4GMZ/qaXVU0mFfcd0Op3ZJ5Sp8TdNxACQykTtAaDau4Dtuc4AChzioNVq4eXlpVSR7FaFChXg5uYGwPLfMTW26hMxAKQyKewAac8HzsK6Q+25zt7e3oYUSWqpM1Bw/ey9zkopbEyxJfa3Wi9wSN0YAFKZFHSAtNck0Lny1jlvTjx7P1kUdHJWS50f9hiZRu6+zTum2BL7W62/aVI3BoBUJgUdICtVqgQXFxcFSmMZPj4+hokPajpZqDEYUmOdlVRQa58l9nfeMZ15f9Ns7SV7xgCQykSNJ8i8XVV5WyrsfWKAGv/WaqyzkpTa33mTQef9Tfv6+pr9s4mUwgCQysTPzy9f8mM1XDU/WEcHBwfDAHZ7pcbxcGqss5IKCvYstb8f/GxHR0cmgSa7xgCQyiRva1guNbSQFHSysHcF/V3Z6kmmpFQXcEGfrYbfNKkbA0AqMwaA6jhZPFhnjUYDDw8PhUpjGQUFuGr4fiuloH1rqfW11fibJnVjAEhlxgBQHScLNdbZy8vLaL1nQB3fb6U8uG8dHBwsNqFMjd9vUjcGgFRmD3adqGGMlBq7i9RYZyB/vXPzIZLpPTim2JLfMQaApDYMAKnM2AKojpOFt7e30bq/aqgzYPy3VkudlaLRaKDT6Qz3Lbm/1XqBQ+rFAJDK7MFgyFJjdpSkxgBQo9EYpcVwcFDH4cPPz8/wf7XUWUlKfcfU+JsmdePRjMrswQPng2lh7JGvr6/RCUItJ4u8kz7UEgx5enoa/s+0IOaX9ztmyf394IQftfymSb3UcQQns8q77JtaTpAajQbOzs6G+2o5WeQdkK+Wv7Ua66wkpfa3q6ur0e9YLRc4pF78hlOZZWdnK10EReRdMSDv/+2ZWuqZlxrrrCQl9zf/1qQmDACpzHQ6HQIDA+Hp6YmQkBCli2MxCxcuhE6ng7e3t1ErqD2bO3cudDodPD09UaVKFaWLYxEjRoww1Llq1arFeo1Op0NQUJDRhAYqno8//hg6nQ5eXl4W/Y4JIbBgwQIEBATA29ubfzuyexrBS55SS0lJgVarRXJyMlNDEBER2Qiev9kCSERERKQ6DACJiIiIVIYBIBEREZHKMAAkIrKAv//+G4MHD0a1atXg5uYGT09PNGjQAHPmzEFiYmK+7Rs0aACNRoO5c+cqUFoisncMAImIzOybb75BWFgYDh8+jAkTJmDLli3YuHEjevfuja+++gpDhw412j46OhpRUVEAgGXLlilRZCKyc05KF4CIyJ5FRkbijTfeQPv27bFp0yajlXLat2+Pt956C1u2bDF6zbfffgsA6Nq1KzZv3oz9+/ejefPmFi03Edk3tgASEZnRjBkzoNFosHTp0gKXSXRxcUGPHj0M99PT07F69WqEhYXh888/BwAsX77cYuUlInVgAEhEZCY5OTn4888/ERYWhsqVKxfrNRs2bEBSUhKGDBmCxx9/HC1btsSaNWtw9+5dM5eWiNSEASARkZncunULqampqFatWrFfs2zZMri5uaFfv34AgKFDh+Lu3btYu3atuYpJRCrEAJCIyErExMRg586d6NWrF3x8fAAAvXv3hpeXF7uBicikGAASEZmJn58fypUrh5iYmGJtv3z5cggh8MILL+D27du4ffs2srKy0KNHD+zbtw9nz541c4mJSC0YABIRmYmjoyOeeeYZHD16FLGxsUVuq9frsWLFCgBAr169UL58ecPt+++/B8DJIERkOhohhFC6ELaKi0kT0cNERkaiVatWaN++PX7++We4uLgYPZ+VlYUtW7bAyckJXbp0wciRI/HCCy/ke59Ro0bh1q1biI2NhZMTM3gRlQXP38wDSERkVs2aNcOSJUswYsQIhIWF4Y033kDt2rWRlZWFqKgoLF26FHXq1IGjoyOcnJzw3nvvITAwMN/7vP766xgzZgw2b96MZ599VoGaEJE9YQtgGfAKgoiK6/jx4/j888+xc+dOxMfHw9nZGdWrV0f37t0xatQoBAcHo0uXLti4cWOBr799+zYCAwPRrl07/PLLLxYuPZF94fnbTgPA6dOnY/PmzYiOjoaLiwtu376dbxuNRpPvsSVLlmD48OHF/hx+gYiIiGwPz9922gWcmZmJ3r17o1mzZkWuoxkeHo5OnToZ7mu1WksUj4iIiEhRdhkAfvTRRwBgmFFXGB8fH+h0OguUiIiIiMh6qDoNzKhRo+Dn54dGjRrhq6++gl6vV7pIRERERGZnly2AxfHJJ5/gmWeegbu7O3bs2IG33noLt27dwvvvv1/oazIyMpCRkWG4n5KSYomiEhEREZmUzbQATp06FRqNpsjbkSNHiv1+77//Ppo1a4b69evjrbfewscff4xPP/20yNfMnDkTWq3WcCvu4u5ERERE1sRmZgHfunULt27dKnKbqlWrws3NzXB/xYoVGDduXIGzgB+0b98+tGzZEvHx8ahUqVKB2xTUAli5cmVVzyIiIiKyNZwFbENdwH5+fvDz8zPb+0dFRcHNzc2wAHtBXF1d4erqarYyEBEREVmCzQSAJXH58mUkJibi8uXLyMnJQXR0NADgscceg6enJ3799VfEx8ejWbNmcHd3x86dOzF58mS89tprDPCIiIjI7tllAPjhhx9i5cqVhvuhoaEAgJ07d6JNmzZwdnbG4sWLMX78eOj1ejzyyCP4+OOPMXLkSKWKTERERGQxNjMG0BpxDAEREZHt4fnbhmYBExEREZFpMAAkIiIiUhkGgEREREQqwwCQiIiISGUYABIRERGpDANAIiIiIpVhAEhERESkMgwAiYiIiFSGASARERGRyjAAJCIiIlIZBoBEREREKsMAkIiIiEhlGAASERERqQwDQCIiIiKVYQBIREREpDIMAImIiIhUhgEgERERkcowACQiIiJSGQaARERERCrDAJCIiIhIZRgAEhEREakMA0AiIiIilWEASERERKQyDACJiIiIVIYBIBEREZHKMAAkIiIiUhkGgEREREQqwwCQiIiISGUYABIRERGpDANAIiIiIpVhAEhERESkMgwAiYiIiFSGASARERGRyjAAJCIiIlIZBoBEREREKsMAkIiIiEhl7C4AvHjxIoYOHYpq1arB3d0djz76KKZMmYLMzEyj7S5fvozu3bvDw8MDfn5+GDNmTL5tiIiIiOyRk9IFMLWzZ89Cr9fj66+/xmOPPYaTJ0/i1Vdfxb179zB37lwAQE5ODrp27YqKFSti7969SEhIwMCBAyGEwMKFCxWuAREREZF5aYQQQulCmNunn36KJUuW4L///gMA/PHHH+jWrRuuXLmCwMBAAMCPP/6IQYMG4caNG/D29i7W+6akpECr1SI5ObnYryEiIiJl8fxthy2ABUlOToavr6/hfmRkJOrUqWMI/gCgY8eOyMjIwNGjR9G2bdsC3ycjIwMZGRlG7wvILxIRERHZhtzztgrawApl9wHgv//+i4ULF+Kzzz4zPBYfH49KlSoZbVe+fHm4uLggPj6+0PeaOXMmPvroo3yPV65c2XQFJiIiIotISEiAVqtVuhiKsJkAcOrUqQUGX3kdPnwYDRs2NNy/du0aOnXqhN69e2PYsGFG22o0mnyvF0IU+HiuSZMmYfz48Yb7er0eiYmJqFChgtHrUlJSULlyZVy5ckU1TctqrDOgznqzzqyzPVNjvdVY5+TkZISEhBj1DqqNzQSAo0aNQt++fYvcpmrVqob/X7t2DW3btkWzZs2wdOlSo+10Oh0OHjxo9FhSUhKysrLytQzm5erqCldXV6PHfHx8Ct3e29tbNT+mXGqsM6DOerPO6qDGOgPqrLca6+zgYHfJUIrNZgJAPz8/+Pn5FWvbq1evom3btggLC0N4eHi+P3CzZs0wffp0xMXFISAgAACwbds2uLq6IiwszORlJyIiIrImNhMAFte1a9fQpk0bhISEYO7cubh586bhOZ1OBwDo0KEDatWqhQEDBuDTTz9FYmIi3n77bbz66ququ/ohIiIi9bG7AHDbtm24cOECLly4gODgYKPncmf7ODo6YvPmzRgxYgRatGgBd3d39OvXz5AnsKxcXV0xZcqUfN3F9kyNdQbUWW/WWR3UWGdAnfVmndVJFXkAiYiIiOg+9Y5+JCIiIlIpBoBEREREKsMAkIiIiEhlGAASERERqQwDQDNYvHgxqlWrBjc3N4SFhWHPnj1KF6lUZs6ciUaNGsHLywv+/v7o2bMn/vnnH6NthBCYOnUqAgMD4e7ujjZt2uDUqVNG22RkZGD06NHw8/ODh4cHevTogdjYWEtWpdRmzpwJjUaDcePGGR6z1zpfvXoVL7/8MipUqIBy5cqhfv36OHr0qOF5e6t3dnY23n//fVSrVg3u7u545JFH8PHHH0Ov1xu2sfU6//XXX+jevTsCAwOh0WiwadMmo+dNVb+kpCQMGDAAWq0WWq0WAwYMwO3bt81cu4IVVeesrCy8++67ePLJJ+Hh4YHAwEC88soruHbtmtF72FqdgYf/rfN6/fXXodFoMH/+fKPHba3exanzmTNn0KNHD2i1Wnh5eaFp06a4fPmy4Xlbq7NJCTKpH3/8UTg7O4tvvvlGnD59WowdO1Z4eHiIS5cuKV20EuvYsaMIDw8XJ0+eFNHR0aJr164iJCRE3L1717DNrFmzhJeXl1i/fr04ceKEePHFF0VAQIBISUkxbDN8+HARFBQkIiIixLFjx0Tbtm1FvXr1RHZ2thLVKrZDhw6JqlWrirp164qxY8caHrfHOicmJooqVaqIQYMGiYMHD4qYmBixfft2ceHCBcM29lbvadOmiQoVKojffvtNxMTEiJ9++kl4enqK+fPnG7ax9Tr//vvvYvLkyWL9+vUCgNi4caPR86aqX6dOnUSdOnXE/v37xf79+0WdOnVEt27dLFVNI0XV+fbt26Jdu3ZizZo14uzZsyIyMlI0adJEhIWFGb2HrdVZiIf/rXNt3LhR1KtXTwQGBorPP//c6Dlbq/fD6nzhwgXh6+srJkyYII4dOyb+/fdf8dtvv4nr168btrG1OpsSA0ATa9y4sRg+fLjRYzVq1BATJ05UqESmc+PGDQFA7N69WwghhF6vFzqdTsyaNcuwTXp6utBqteKrr74SQsgDrrOzs/jxxx8N21y9elU4ODiILVu2WLYCJXDnzh3x+OOPi4iICNG6dWtDAGivdX733XdFy5YtC33eHuvdtWtXMWTIEKPHevXqJV5++WUhhP3V+cETpKnqd/r0aQFAHDhwwLBNZGSkACDOnj1r5loVrahAKNehQ4cEAMNFuq3XWYjC6x0bGyuCgoLEyZMnRZUqVYwCQFuvd0F1fvHFFw2/54LYep3Lil3AJpSZmYmjR4+iQ4cORo936NAB+/fvV6hUppOcnAwAhsWzY2JiEB8fb1RfV1dXtG7d2lDfo0ePIisry2ibwMBA1KlTx6r3yciRI9G1a1e0a9fO6HF7rfMvv/yChg0bonfv3vD390doaCi++eYbw/P2WO+WLVtix44dOHfuHADg+PHj2Lt3L7p06QLAPuucl6nqFxkZCa1WiyZNmhi2adq0KbRardXvA0Ae1zQajWFdd3uts16vx4ABAzBhwgTUrl073/P2Vm+9Xo/NmzejevXq6NixI/z9/dGkSROjbmJ7q3NJMQA0oVu3biEnJweVKlUyerxSpUqIj49XqFSmIYTA+PHj0bJlS9SpUwcADHUqqr7x8fFwcXFB+fLlC93G2vz44484duwYZs6cme85e63zf//9hyVLluDxxx/H1q1bMXz4cIwZMwarVq0CYJ/1fvfdd/HSSy+hRo0acHZ2RmhoKMaNG4eXXnoJgH3WOS9T1S8+Ph7+/v753t/f39/q90F6ejomTpyIfv36GZYBtdc6z549G05OThgzZkyBz9tbvW/cuIG7d+9i1qxZ6NSpE7Zt24bnnnsOvXr1wu7duwHYX51Lyu6WgrMGGo3G6L4QIt9jtmbUqFH4+++/sXfv3nzPlaa+1rpPrly5grFjx2Lbtm1wc3MrdDt7qjMgr5YbNmyIGTNmAABCQ0Nx6tQpLFmyBK+88ophO3uq95o1a/Ddd99h9erVqF27NqKjozFu3DgEBgZi4MCBhu3sqc4FMUX9Ctre2vdBVlYW+vbtC71ej8WLFz90e1uu89GjR7FgwQIcO3asxOWz1XrnTuZ69tln8eabbwIA6tevj/379+Orr75C69atC32trda5pNgCaEJ+fn5wdHTMd1Vw48aNfFfZtmT06NH45ZdfsHPnTqP1lXU6HQAUWV+dTofMzEwkJSUVuo01OXr0KG7cuIGwsDA4OTnByckJu3fvxhdffAEnJydDme2pzgAQEBCAWrVqGT1Ws2ZNw2w5e/xbT5gwARMnTkTfvn3x5JNPYsCAAXjzzTcNLb/2WOe8TFU/nU6H69ev53v/mzdvWu0+yMrKQp8+fRATE4OIiAhD6x9gn3Xes2cPbty4gZCQEMNx7dKlS3jrrbdQtWpVAPZXbz8/Pzg5OT30uGZPdS4pBoAm5OLigrCwMERERBg9HhERgebNmytUqtITQmDUqFHYsGED/vzzT1SrVs3o+WrVqkGn0xnVNzMzE7t37zbUNywsDM7OzkbbxMXF4eTJk1a5T5555hmcOHEC0dHRhlvDhg3Rv39/REdH45FHHrG7OgNAixYt8qX4OXfuHKpUqQLAPv/WqampcHAwPgQ6OjoaWg7ssc55map+zZo1Q3JyMg4dOmTY5uDBg0hOTrbKfZAb/J0/fx7bt29HhQoVjJ63xzoPGDAAf//9t9FxLTAwEBMmTMDWrVsB2F+9XVxc0KhRoyKPa/ZW5xKz7JwT+5ebBmbZsmXi9OnTYty4ccLDw0NcvHhR6aKV2BtvvCG0Wq3YtWuXiIuLM9xSU1MN28yaNUtotVqxYcMGceLECfHSSy8VmEYiODhYbN++XRw7dkw8/fTTVpMmozjyzgIWwj7rfOjQIeHk5CSmT58uzp8/L77//ntRrlw58d133xm2sbd6Dxw4UAQFBRnSwGzYsEH4+fmJd955x7CNrdf5zp07IioqSkRFRQkAYt68eSIqKsow49VU9evUqZOoW7euiIyMFJGRkeLJJ59ULE1GUXXOysoSPXr0EMHBwSI6OtrouJaRkWF4D1ursxAP/1s/6MFZwELYXr0fVucNGzYIZ2dnsXTpUnH+/HmxcOFC4ejoKPbs2WN4D1ursykxADSDRYsWiSpVqggXFxfRoEEDQ9oUWwOgwFt4eLhhG71eL6ZMmSJ0Op1wdXUVTz31lDhx4oTR+6SlpYlRo0YJX19f4e7uLrp16yYuX75s4dqU3oMBoL3W+ddffxV16tQRrq6uokaNGmLp0qVGz9tbvVNSUsTYsWNFSEiIcHNzE4888oiYPHmyUSBg63XeuXNngb/hgQMHCiFMV7+EhATRv39/4eXlJby8vET//v1FUlKShWpprKg6x8TEFHpc27lzp+E9bK3OQjz8b/2gggJAW6t3ceq8bNky8dhjjwk3NzdRr149sWnTJqP3sLU6m5JGCCHM28ZIRERERNaEYwCJiIiIVIYBIBEREZHKMAAkIiIiUhkGgEREREQqwwCQiIiISGUYABIRERGpDANAIiIiIpVhAEhERESkMgwAiYiIiFSGASARERGRyjAAJCIiIlIZBoBEREREKsMAkIiIiEhlGAASERERqQwDQCIiIiKVYQBIREREpDIMAImIiIhUhgEgERERkcowACQiIiJSGQaARERERCrDAJCIiIhIZRgAEhEREakMA0AiIiIilWEASERERKQyDACJiIiIVIYBIBEREZHKMAAkIiIiUhkGgEREREQqwwCQiIiISGUYABIRERGpDANAIiIiIpX5P3Z3v5zaj5FbAAAAAElFTkSuQmCC",
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