{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 2-1: Hypothesis Testing\n", "\n", "The Skykomish River in Washington state appears to have had a change in streamflow around the year 1975. \n", "* Test for statistical significance of the observed change in the mean annual flood. \n", "* Use a two-sample test, with alpha=0.05 (i.e. 95% confidence) and the z-distribution to define the rejection region.\n", "\n", "Why is it appropriate to use the z-distribution here? (consider the [Central Limit Theorem](https://en.wikipedia.org/wiki/Central_limit_theorem))\n", "\n", "---" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import scipy.stats as stats\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/conda/lib/python3.10/site-packages/openpyxl/worksheet/_read_only.py:81: UserWarning: Unknown extension is not supported and will be removed\n", " for idx, row in parser.parse():\n" ] }, { "data": { "text/html": [ "
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date of peakwater yearpeak value (cfs)gage_ht (feet)
01928-10-0919291880010.55
11930-02-0519301580010.44
21931-01-2819313510014.08
\n", "
" ], "text/plain": [ " date of peak water year peak value (cfs) gage_ht (feet)\n", "0 1928-10-09 1929 18800 10.55\n", "1 1930-02-05 1930 15800 10.44\n", "2 1931-01-28 1931 35100 14.08" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Filepath to our excel file.\n", "skykomish_data_file = '../data/Skykomish_peak_flow_12134500_WY1929_2023.xlsx'\n", "\n", "# Use pandas.read_excel() function to open this file.\n", "skykomish_data = pd.read_excel(skykomish_data_file)\n", "\n", "# Now we can see the dataset we loaded:\n", "skykomish_data.head(3)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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XXniBGAwGUlVVJfme/fHSSy9xYorP8OHDCQBSV1cnuN3lcnH7oN1uF1w0Pf7445K/ufvvv59oNBqBwBSLwltvvZWYzWbBOhwOB2nfvn1QolD8l5qaSr744gu/jw20/1ssFtnfjhJKSkqIVqslEydOJIS4zwMajYYUFBQQQgjp1asXmT59OiHEfVwFQB577DHBc1x55ZUkISGBlJaWEkK8x+13331X8jXHjh1LcnJyQl5ztGCi8AJk69at5MUXXySjR48mWVlZnCvDz/1o3rw56dOnD+nTpw9p1qwZJzz47NixgwAgS5cuJYS4D+4tWrTwcb4CPdd3331HAJBPP/3U5zWuvvpqwQ+JCo7a2lrBdvn5+aRx48Y+j2/cuDG56aabuH+LRaHL5SIXX3wxadKkCZk7dy7ZsWOHT34l/z2I6dOnDxk+fLjP7WKkDo4Gg4F8++23PttKicKFCxcSAGT//v3cbT179hRcvS5atIgAIFu3bhWcJOx2O7n11ltJdnY2ty0VL2KxEix0rW+//TZ32/r16wkAHxd5wIABJDc31+c5brvtNtK+fXvu3/Q7euuttwTbUZdm+fLl3G3BiMJPP/2U9O3blyQlJQm+h4SEBMF2wYhC8XdqNpvJQw89RKxWK6mtreVEuvj7oPs8XygpXR8VzG3btiVdunQhJ06cCLhWPmVlZeTjjz/mcqe0Wi3RaDRkzpw53DaBRGF6errP7f369SNdunTxea+VlZVEo9EITqo7duwg1157LcnIyPD5DDdt2iR4LbnfdX5+vuA2q9VKAJBp06ZxtykVhfQCa8uWLT6v1aFDB9K7d2/u33fddRe56KKLuOfXaDTkzJkzJCsri7zzzjuEEEIGDRoUcq7www8/TDQajUDcESIvCufPny/4/C655BLuvl69epGOHTv6vAYVu2+++SZ3m1gUZmdnk5EjR/o8ln52SkXhjz/+SLZu3Uq2bNlCvv32W3LjjTcSo9HoIwyD2f9vuOEGv6+thG7dupG2bdsSQghZsWIF0ev1nDny6KOPku7duxNCCFm8eDEBIHDiDx8+TDQajcCwqKqqIikpKaRfv36Srzd16lSi0Wgkc/pjCZZTeAHSo0cP/POf/8Rnn32G06dPY+rUqTh69KhPddSBAwewefNmXH311ejUqZPP83Tr1g39+/fn8qO+/fZbHD16VLJdhr/n8pfrlJeXx91PSUxMREJCguA2o9GIjIwMn8cbjUa/uY0ajQZr1qzBsGHDMGfOHFx22WVo1KgRJk+eLMgpAYDMzEyfx5tMJtTW1so+P59bbrkFW7duxW+//Yb//ve/SElJwW233YaDBw8GfOzYsWNhMpm4vK59+/Zh69atuPvuu7ltaG5iz549YTAYBH+ffPIJzp07J3jOxMREpKamKlq7HO+++y4SEhIwfPhwlJWVoaysDF26dEGLFi3wwQcfwOl0CrYP5jMUb2symQBA8efN54svvsAtt9yCJk2aYOnSpdi4cSO2bt2Ke+65x+/+EYjLL78cW7duxbZt27Bv3z6UlZXh1VdfhdFoxPnz5+FwOLBw4UKf7+Oaa64BAO47CXZ9W7ZswYEDB3DrrbeiadOmQa3ZYrHg9ttvxyuvvILNmzdj9+7dyMnJwYwZM1BWVqboOaR+q2fOnMHu3bt93mtKSgoIIdx7PX78OPr3749Tp07hlVdewS+//IKtW7dyxxHx9yv3uxbfbjQaASCk7zOYY9CQIUNw/PhxHDx4ED/++CO6deuG7OxsXHnllfjxxx9RW1uL3377DUOGDAl6HYD7/RsMBuh0OsHtF110EQAI8lUBYMyYMdi6dSu2bt3q01Xh/Pnzsu+J3i/H+fPnkZub63O71G3+6Nq1K3r06IGePXtixIgR+Oyzz9C6dWtBDmaw+78anRkGDRqEAwcO4PTp01i3bh26d++O5ORkAMCAAQOwc+dOlJeXY926ddDr9Vx+KuDOHSSEYPTo0dxxz263Y9SoUfj111+xf/9+n9dLSEgAISSs40008K04YFxQGAwGPPvss5g/fz727t0ruC8/Px8333wz7r33XgDAm2++6VOQMnnyZNx8883YsWMHXnvtNbRt2xZXXXWVz+v4ey568ucn/VJOnz6NrKys8N+oH5o3b861Ezhw4AA+/fRTzJw5EzabDW+99ZZqr9OoUSP06NEDgPvz6NChAwYMGICpU6fi22+/9fvY9PR0XHfddViyZAn+/e9/4/3330dCQgJuv/12bhv6OX3++edo3rx5wPWE26ftwIED2LBhAwDvCUvM999/zwmgSJCQkCDZl+3cuXOC/Wbp0qVo2bIlPvnkE8H7DrWnG8VisXDfqZj09HTodDqMGzdOcALk07Jly5DWd+uttyI3NxczZsyAy+XCU089FfJ7uOSSS3DbbbdhwYIFOHDgAHr16hXwMVL7TlZWFsxms2yyPf0+vvzyS1RXV+OLL74Q7KdShV3Rgn8MEots8TGIFmT9+OOP+OGHH7jj3eDBg/HUU0/h559/htVqDVkUZmVlwWazobq6GklJSdztV111Fd5++218/fXXmD59Ond7dnY2srOzAQApKSmCfSYzM1P2uEpfS47MzEwUFRX53C51WzBotVpccskl+Oyzz1BcXIzs7Oyg9381ekwOGjQI8+bNw08//YSffvpJcJyiAvDnn3/mClCoYHS5XNzF+Y033ij53O+9956PyVJSUgKTycQ9T6zCROEFRGFhoeQVFq3wpVePfGiPpTFjxqC6uhqLFy8WXMHSRtjTpk3D+vXrMX/+fNkfrNxz5efnw2w2Y+nSpVzVI+DuDbV27VqMHj063LeumLZt2+Kpp57CihUrIt5Hq3///rjzzjuxePFibNy4Efn5+X63v/vuu/Hpp5/iu+++w9KlS3HDDTcgLS2Nu3/YsGHQ6/U4dOgQbrrppoiuHfD25Vq0aBFat24tuK+2thbXXXcd3nvvvYiKwhYtWmD37t2C2w4cOIC//vpLcMLTaDQwGo2CfbOoqEj16mM+iYmJGDRoEHbu3IkuXbpwTpYUoazvqaeeQkpKCqZOnYrq6mrMnj3b73rOnz+PlJQUyXVQZ4MeA0JxZUeOHIlZs2YhMzOTE7tS0PdIXwNwV1D7q5yONFdeeSUAtzjv2bMnd/vWrVvx559/YsaMGdxtjRs3RseOHbFixQps374ds2bNAuAWbffddx/mzZuH1NRUwfMEQ/v27QEAhw4dQpcuXbjbb7jhBnTs2BGzZs3CyJEjue38MXjwYMyePRs7duwQuIhLliyBRqPx6bvHZ9CgQfj6669x5swZ5OTkAHD3ugy3p63T6cSePXtgMpm4SEV9/D6vuOIK6HQ6fP755/jjjz8EIs5iseDSSy/F4sWLcfToUYwZM4a77/vvv8fJkyfxwAMPSJ6bHnzwQSxZsgSzZs0SdPo4fPgwOnbsGLH3oxZMFF5ADBs2DE2bNsW1116L9u3bw+VyYdeuXZg7dy6Sk5Px8MMPSz5u9OjRSExMxOjRo1FbW4tly5ZxJxadTocHHngA//znP5GUlBRwEoTUc6WlpeHpp5/Gk08+iTvvvBO33347zp8/j+eeew4JCQmCtjVqs3v3bjz44IO4+eab0aZNGxiNRqxduxa7d+/G448/HrHXpfzrX//CJ598gqeffho//vij322HDh2Kpk2bYtKkSSgqKhKEjgG3QHr++ecxY8YMHD58GMOHD0d6ejrOnDmDLVu2ICkpCc8991zANf30008YNGgQnn32WdkJBw6HA0uWLEGHDh3wf//3f5LbXHvttfj6669x9uxZNGrUKODrhsK4ceNwxx13YNKkSbjppptw7NgxzJkzx+f1Ro4ciS+++AKTJk3C6NGjceLECfzrX/9C48aNFYXvQ+WVV17B5Zdfjv79++P+++9HixYtUFlZib///hvffPMN1q5dG9b6Hn74YSQnJ2PixImoqqrCq6++KntRtm7dOjz88MMYO3Ys+vbti8zMTBQXF2PZsmUoKCjAnXfeyblkNMXj7bffRkpKChISEtCyZUvJ8D9lypQpWLFiBa644gpMnToVXbp0gcvlwvHjx7F69WpMmzYNvXv3xlVXXQWj0Yjbb78djz32GOrq6vDmm2+itLQ01I85bNq1a4eJEydi4cKF0Gq1uPrqq3H06FE8/fTTaNasGaZOnSrYfvDgwVi4cCHMZjP69esHwO36tmzZEqtXr8aoUaN8Wn+NHz8eixcvxpEjR9CiRQvZtdC2OZs2bRKIQp1Ohy+//BLDhg1Dr169MGHCBAwcOBDp6ekoKyvD5s2b8fvvvwva1UydOhVLlizBiBEj8Pzzz6N58+ZYtWoV3njjDdx///1+G3k/9dRT+Prrr3HllVfimWeeQWJiIl5//fWgJ3Ns376da0Nz5swZvPfee9i/fz+mTp3KpQGp9ftU+hkDQGpqKi677DJ8+eWX0Gq13PdIGTBgABYsWAAAAvH87rvvQq/X48knn5Q0Uu677z5MnjwZq1atwnXXXQfA7S5u2bKFi5TFNPWb0siIJp988gkZM2YMadOmDUlOTiYGg4FcdNFFZNy4cT7NUKXabaxbt44kJyeT4cOHC5qF0ibM//jHPyRfV+lzvfPOO6RLly7EaDQSi8VCrrvuOkEbFULcSd5JSUk+rzFgwABBgrXca4sLTc6cOUPGjx9P2rdvT5KSkkhycjLp0qULmT9/vk/rE6nm1YGqXCmQaElDefTRRwWtbfw1h33yyScJANKsWTPJghhCCPnyyy/JoEGDSGpqKjGZTKR58+Zk9OjRgopvuc+REEK++eYbyUIP8WsgQNV2QUEBAUDmzp1LCJH/ju666y7SvHlz7t9yxQFHjhwhAAStjFwuF5kzZw5p1aoVSUhIID169CBr166V/F5efPFF0qJFC2IymUiHDh3IokWLJFuThNOSRoojR46Qe+65hzRp0oQYDAbSqFEj0rdvX/Lvf/87pPVJ7UvLli0jer2e3H333bL7xYkTJ8hTTz1F+vXrR3Jzc4lerycpKSmkd+/eZOHChT6FDQsWLCAtW7YkOp1O8LnLfY+EuJPtn3rqKdKuXTvud9y5c2cydepUQRXrN998Q7p27UoSEhJIkyZNyKOPPkr+97//+RS3KP1dy302SgtNCHEXyr300kukbdu2xGAwkKysLHLHHXdIFvJ89dVXBAC56qqrBLfTtjH8CmjKTTfdRMxmM1et6o/+/fv7VN9TysvLyaxZs0jPnj1Jamoq0ev1JDs7m1x11VXk9ddf92mQfOzYMTJmzBiSmZlJDAYDadeuHfnPf/7js58Avs2rf/31V67VT25uLnn00UfJ22+/HXL1cUZGBunduzd57733fF4/nP2fEsxnTIi7STgA0qNHD5/76DHOaDRyn+nZs2eJ0Wgk119/vexz0m4a/ILLNWvWEABk+/btitZVn2gIISTy0pPRkFm4cCEmT56MvXv34pJLLqnv5TDC5LHHHsOyZctw8OBBn4IeBoMRGrm5uRg3bhz+85//BNx2xYoVuPXWW3Hs2DE0adIkCqtrGATzGUeTcePG4fDhw/U681kpTBQyQmbnzp04cuQI7rvvPvTr1w9ffvllfS+JoQI9e/bEhAkTMHHixPpeCoPRIPjjjz+Qn5+Pw4cPKyqcI4Sgb9++6N69O1577bUorDD+CfYzjhaHDh1Chw4dsHbtWkEFc6zCRCEjZFq0aIGioiL0798fH374YdCtChgMBoMhzd69e/H111/j8ccfVzSGlBGbrFu3DgcPHoybi2wmChkMBoPBYDAYYJcfDAaDwWAwGAwmChkMBoPBYDAYTBQyGAwGg8FgMMCaV0cdl8uF06dPIyUlRZVRPQwGg8FgMBhyEEJQWVmJvLy8gEVLTBRGmdOnT6NZs2b1vQwGg8FgMBgXECdOnPCZ7S2GicIok5KSAsD95dC5jwwGg8FgMBiRoKKiAs2aNeP0hz+YKIwyNGScmprKRCGDwWAwGIyooCRljRWaMBgMBoPBYDCYKGQwGAwGg8FgMFHIYDAYDAaDwQDLKYw5CCFwOBxwOp31vRTGBYZOp4Ner2etkhgMBuMChYnCGMJms6GwsBA1NTX1vRTGBUpiYiIaN24Mo9FY30thMBgMRpRhojBGcLlcOHLkCHQ6HfLy8mA0Gpljw4gahBDYbDacPXsWR44cQZs2bQI2OWUwGAxGw4KJwhjBZrPB5XKhWbNmSExMrO/lMC5AzGYzDAYDjh07BpvNhoSEhPpeEoPBYDCiCLMCYgzmzjDqE7b/MRgMxoULOwMwGAwGg8FgMJgoZDAYDAaDoQyrw4kdx0vhdJH6XgojAjBRyIgbBg4ciClTpkT1NT/44AOkpaVF5bX++usv5ObmorKyUtH2hBBMnDgRGRkZ0Gg02LVrl9/tp0+fjsmTJ6uwUgaDcaGycM3fuPGN3/DVrlP1vRRGBGCikMGIEWbMmIEHHnhA0dByACgoKMAHH3yAb7/9FoWFhejUqZPf7R977DG8//77OHLkiBrLZTAYFyCnymoBACdLa+t5JYxIwEQhgxEDnDx5El9//TXuvvtuxY85dOgQGjdujL59+yI3Nxd6vf9mAtnZ2Rg6dCjeeuutcJfLYDAuUGxOl/u/Dlc9r4QRCZgojGEIIaixOerljxDl+SIDBw7Egw8+iAcffBBpaWnIzMzEU089JXgOm82Gxx57DE2aNEFSUhJ69+6Nn376ibv//PnzuP3229G0aVMkJiaic+fOWLZsmd/XLSgogMViwZIlS3zuc7lcaNq0qY8A2rFjBzQaDQ4fPgwAmDdvHjp37oykpCQ0a9YMkyZNQlVVlexrjh8/Htdff73gtilTpmDgwIHcvwkhmDNnDlq1agWz2YyuXbvi888/9/tePv30U3Tt2hVNmzYV3P7rr79iwIABSExMRHp6OoYNG4bS0lKMHz8eDz30EI4fPw6NRoMWLVoAAD7//HN07twZZrMZmZmZGDJkCKqrq7nnGzVqVMDPlcFgMOSwe8QgFYeMhgXrUxjD1Nqd6PjM9/Xy2vueH4ZEo/LdY/Hixbj33nuxefNmbNu2DRMnTkTz5s0xYcIEAMDdd9+No0ePYvny5cjLy8PKlSsxfPhw7NmzB23atEFdXR26d++Of/7zn0hNTcWqVaswbtw4tGrVCr179/Z5veXLl2PixIn48MMPcd111/ncr9Vqcdttt+Gjjz7CP/7xD+72jz/+GPn5+WjVqhW33auvvooWLVrgyJEjmDRpEh577DG88cYbwX5kHE899RS++OILvPnmm2jTpg1+/vln3HHHHWjUqBEGDBgg+Ziff/4ZPXr0ENy2a9cuDB48GPfccw9effVV6PV6rFu3Dk6nE6+88gouvvhivP3229i6dSt0Oh0KCwtx++23Y86cObjhhhtQWVmJX375RSDOe/XqhRMnTuDYsWNo3rx5yO+RwWBcmNiZU9igYaKQoQrNmjXD/PnzodFo0K5dO+zZswfz58/HhAkTcOjQISxbtgwnT55EXl4eAHfRQ0FBAd5//33MmjULTZo0wfTp07nne+ihh1BQUIDPPvvMRxS+8cYbePLJJ/HVV19h0KBBsmsaO3Ys5s2bxwkgl8uF5cuX48knn+S24ReutGzZEv/6179w//33hywKq6urMW/ePKxduxb5+fkAgFatWmHDhg3473//KysKjx49iu7duwtumzNnDnr06CFYyyWXXML9f0pKCnQ6HXJzcwG4XVCHw4Ebb7yRE3ydO3cWPGeTJk2412OikMFgBIvd6b7ItDJR2CBhojCGMRt02Pf8sHp77WDo06ePYCxffn4+5s6dC6fTiR07doAQgrZt2woeY7VakZmZCQBwOp148cUX8cknn+DUqVOwWq2wWq1ISkoSPGbFihU4c+YMNmzYgF69evldU7du3dC+fXssW7YMjz/+ONavX4/i4mLccsst3Dbr1q3DrFmzsG/fPlRUVMDhcKCurg7V1dU+r62Effv2oa6uDldddZXgdpvNhm7dusk+rra21meCyK5du3DzzTcrfu2uXbti8ODB6Ny5M4YNG4ahQ4di9OjRSE9P57Yxm80AwOZrMxiMkGBOYcOGicIYRqPRBBXCjVVcLhd0Oh22b98OnU4oNpOTkwEAc+fOxfz587FgwQIux2/KlCmw2WyC7S+99FLs2LED77//Pnr27BlwPvTYsWPx8ccf4/HHH8fHH3+MYcOGISsrCwBw7NgxXHPNNfjHP/6Bf/3rX8jIyMCGDRtw7733wm63Sz6fVqv1ybfkb+tyuQ+Uq1at4lw5islkkl1nVlYWSktLBbdRAacUnU6HH374Ab/99htWr16NhQsXYsaMGdi8eTNatmwJACgpKQEANGrUKKjnZjAYDIAnCllOYYOEFZowVGHTpk0+/27Tpg10Oh26desGp9OJ4uJitG7dWvBHQ5+//PILrrvuOtxxxx3o2rUrWrVqhYMHD/q8zsUXX4x169bhq6++wkMPPRRwXWPGjMGePXuwfft2fP755xg7dix337Zt2+BwODB37lz06dMHbdu2xenTp/0+X6NGjVBYWCi4jd8fsGPHjjCZTDh+/LjPe23WrJns83br1g379u0T3NalSxesWbMm4Hvko9Fo0K9fPzz33HPYuXMnjEYjVq5cyd2/d+9eGAwGQRiawWAwlMKFj+3Oel4JIxIwUchQhRMnTuCRRx7BX3/9hWXLlmHhwoV4+OGHAQBt27bF2LFjceedd+KLL77AkSNHsHXrVrz00kv47rvvAACtW7fmXK4///wT9913H4qKiiRfq23btli3bh1WrFgRsJl1y5Yt0bdvX9x7771wOByCopSLL74YDocDCxcuxOHDh/Hhhx8GbNdy5ZVXYtu2bViyZAkOHjyIZ599Fnv37uXuT0lJwfTp0zF16lQsXrwYhw4dws6dO/H6669j8eLFss87bNgwbNy4EU6n90D7xBNPYOvWrZg0aRJ2796N/fv3480338S5c+ckn2Pz5s2YNWsWtm3bhuPHj+OLL77A2bNn0aFDB26bX375Bf379w/ahWQwGAyAOYUNHSYKGapw5513ora2Fr169cIDDzyAhx56CBMnTuTuf//993HnnXdi2rRpaNeuHUaNGoXNmzdz7tnTTz+Nyy67DMOGDcPAgQORm5vr0/qFT7t27bB27VosW7YM06ZN87u2sWPH4vfff8eNN94oEEOXXnop5s2bh5deegmdOnXCRx99hNmzZ/t9rmHDhuHpp5/GY489hp49e6KyshJ33nmnYJt//etfeOaZZzB79mx06NABw4YNwzfffMOFcKW45pprYDAY8OOPP3K3tW3bFqtXr8bvv/+OXr16IT8/H1999ZVsP8LU1FT8/PPPuOaaa9C2bVs89dRTmDt3Lq6++mpum2XLlnEV4QwGgxEsrE9hw0ZDgmlIxwibiooKWCwWlJeXIzU1lbu9rq4OR44cQcuWLX0KDmKdgQMH4tJLL8WCBQvqeylxzRtvvIGvvvoK338fmTZEq1atwqOPPordu3fLCst43g8ZDEbk6T9nLU6U1KJH83R8fn/f+l4OQwFyukOK+K9iYDAaCBMnTkRpaSkqKysVj7oLhurqarz//vsBJ58wGAyGHA5PTiELHzdM2NmBwYgR9Ho9ZsyYEbHn57fiYTAYjFBgLWkaNkwUMsKGP66OwWAwGA0XKgaZKGyYsEITBoPBYDAYimATTRo2TBTGGKzuh1GfsP2PwWD4g4aPmShsmDBRGCMYDAYAbPwYo36h+x/dHxkMBoNCCIHD5Sk0cbDm1Q0RllMYI+h0OqSlpaG4uBgAkJiYGHCEG4OhFoQQ1NTUoLi4GGlpaT7jCBkMBoOGjgFWfdxQqVdR+PPPP+M///kPtm/fjsLCQqxcuZJrWGy32/HUU0/hu+++w+HDh2GxWDBkyBC8+OKLyMvL457DarVi+vTpWLZsGWprazF48GC88cYbaNq0KbdNaWkpJk+ejK+//hoAMGrUKCxcuBBpaWncNsePH8cDDzyAtWvXwmw2Y8yYMXj55ZdhNBq5bfbs2YMHH3wQW7ZsQUZGBu677z48/fTTqok3OvKNCkMGI9qkpaVx+yGDwWDwsfOEICs0aZjUqyisrq5G165dcffdd+Omm24S3FdTU4MdO3bg6aefRteuXVFaWoopU6Zg1KhR2LZtG7fdlClT8M0332D58uXIzMzEtGnTMHLkSGzfvp1zO8aMGYOTJ0+ioKAAgLsf3Lhx4/DNN98AAJxOJ0aMGIFGjRphw4YNOH/+PO666y4QQrBw4UIA7uaPV111FQYNGoStW7fiwIEDGD9+PJKSkgJO1FCKRqNB48aNkZ2dDbvdrspzMhhKMRgMzCFkMBiy8EWhiwAOpwt6HctCa1CQGAEAWblypd9ttmzZQgCQY8eOEUIIKSsrIwaDgSxfvpzb5tSpU0Sr1ZKCggJCCCH79u0jAMimTZu4bTZu3EgAkP379xNCCPnuu++IVqslp06d4rZZtmwZMZlMpLy8nBBCyBtvvEEsFgupq6vjtpk9ezbJy8sjLpdL8fssLy8nALjnZTAYDAYjHjhTUUua//Nb7q/aaq/vJTEUEIzuiCuJX15eDo1Gw4V9t2/fDrvdjqFDh3Lb5OXloVOnTvjtt98AABs3boTFYkHv3r25bfr06QOLxSLYplOnToKw9LBhw2C1WrF9+3ZumwEDBsBkMgm2OX36NI4ePSq7ZqvVioqKCsEfg8FgMBjxBj+nEGAh5IZI3IjCuro6PP744xgzZgw3u6+oqAhGoxHp6emCbXNyclBUVMRtk52d7fN82dnZgm1ycnIE96enp8NoNPrdhv6bbiPF7NmzYbFYuL9mzZoF87YZDAaDwYgJHKLiEiYKGx5xIQrtdjtuu+02uFwuvPHGGwG3J4QIij+kCkHU2IZ4err5KzR54oknUF5ezv2dOHEi4PoZDAaDwYg17CJRyHoVNjxiXhTa7XbccsstOHLkCH744QfOJQTc1bo2mw2lpaWCxxQXF3MuXm5uLs6cOePzvGfPnhVsI3b7SktLYbfb/W5Dq4TFDiIfk8mE1NRUwR+DwWAwGPGGzSEMHzNR2PCIaVFIBeHBgwfx448/IjMzU3B/9+7dYTAY8MMPP3C3FRYWYu/evejbty8AID8/H+Xl5diyZQu3zebNm1FeXi7YZu/evSgsLOS2Wb16NUwmE7p3785t8/PPP8Nmswm2ycvLQ4sWLVR/7wwGg8FgxBJip5CFjxse9SoKq6qqsGvXLuzatQsAcOTIEezatQvHjx+Hw+HA6NGjsW3bNnz00UdwOp0oKipCUVERJ8wsFgvuvfdeTJs2DWvWrMHOnTtxxx13oHPnzhgyZAgAoEOHDhg+fDgmTJiATZs2YdOmTZgwYQJGjhyJdu3aAQCGDh2Kjh07Yty4cdi5cyfWrFmD6dOnY8KECZyzN2bMGJhMJowfPx579+7FypUrMWvWLDzyyCOsyTSDwWAwGjw+opA1sG54RLgS2i/r1q0jAHz+7rrrLnLkyBHJ+wCQdevWcc9RW1tLHnzwQZKRkUHMZjMZOXIkOX78uOB1zp8/T8aOHUtSUlJISkoKGTt2LCktLRVsc+zYMTJixAhiNptJRkYGefDBBwXtZwghZPfu3aR///7EZDKR3NxcMnPmzKDa0RDCWtIwGAwGIz759e+zgpY0mw+fr+8lMRQQjO7QEEKIpFpkRISKigpYLBaUl5ez/EIGg8FgxA0/HziLO9/zpmItvbc3Lm+TVY8rYighGN0R0zmFDAaDwWAwYgPf8LGznlbCiBRMFDIYDAaDwQgIKzRp+DBRyGAwGAwGIyA2J2tJ09BhopDBYDAYDEZA7A7WvLqhw0Qhg8FgMBiMgLDwccOHiUIGg8FgMBgBsbuE4WMmChseTBQyGAwGg8EIiDh8zJpXNzyYKGQwGAwGgxEQFj5u+DBRyGAwGAwGIyBMFDZ8mChkMBgMBoMREHFLGhY+bngwUchgMBgMBiMgYqfQamcTTRoaTBQyGAwGg8EIiMNnzB1zChsaTBQyGAwGg8EIiN0TPjbq3NKBNa9ueDBRyGAwGAwGIyDUGUwy6dz/ZqKwwcFEIYPBYDAYjIDQPoXJCXoATBQ2RJgoZDAYDAaDERBaaJJk9IhCllPY4GCikMFgMBgMRkBoTmGSiTmFDRUmChkMBoPBYASEcwqZKGywMFHIYDAYDAYjIFQUJnsKTVj1ccODiUIGg8FgMBgB4cLHRuYUNlSYKGQwGAwGgxEQmzh8zApNGhxMFDIYDAaDwQiIN3zMnMKGChOFDAaDwWAwAiIuNGE5hQ0PJgoZDAaDwWAExOHJKUzmJpo463M5jAjARCGDwWAwGIyAsJzChg8ThQwGg8FgMAIi1aeQEFKfS2KoDBOFDAaDwWAwAmJ30PCxWxS6COBwMVHYkGCikMFgMBgMRkCoU5ho1HG3sQrkhgUThQwGg8FgMAJiE7WkAZgobGgwUchgMBgMBiMgtPo4waCDVuO+jRWbNCyYKGQwGAwGgxEQGj426rUw6WlbGiYKGxJMFDIYDAaDwfCLy0W4ohKDTguj3i0fWAPrhgUThQwGg8FgMPxid3nFn16n4UQhcwobFkwUMhgMBoPB8Ivd6W09Y9RpYdR5RCHLKWxQMFHIYDAYDAbDLw6e+DPotDDR8LGdjbprSDBRyGAwGIwGy7r9xej34lr8duhcfS8lrqGOoFYD6LS88DFzChsUTBQyGAwGo8GyZv8ZnCqrxfoDZ+t7KXENDR8bPGFjllPYMKlXUfjzzz/j2muvRV5eHjQaDb788kvB/YQQzJw5E3l5eTCbzRg4cCD++OMPwTZWqxUPPfQQsrKykJSUhFGjRuHkyZOCbUpLSzFu3DhYLBZYLBaMGzcOZWVlgm2OHz+Oa6+9FklJScjKysLkyZNhs9kE2+zZswcDBgyA2WxGkyZN8Pzzz7O5jwwGgxHD1Fjd4U0mXsLD7vn8aC4hl1PIPtcGRb2KwurqanTt2hWvvfaa5P1z5szBvHnz8Nprr2Hr1q3Izc3FVVddhcrKSm6bKVOmYOXKlVi+fDk2bNiAqqoqjBw5Ek6nN89hzJgx2LVrFwoKClBQUIBdu3Zh3Lhx3P1OpxMjRoxAdXU1NmzYgOXLl2PFihWYNm0at01FRQWuuuoq5OXlYevWrVi4cCFefvllzJs3LwKfDIPBYDDUoMrqAMDES7jQHoV6nbtrtcnAwscNEhIjACArV67k/u1yuUhubi558cUXudvq6uqIxWIhb731FiGEkLKyMmIwGMjy5cu5bU6dOkW0Wi0pKCgghBCyb98+AoBs2rSJ22bjxo0EANm/fz8hhJDvvvuOaLVacurUKW6bZcuWEZPJRMrLywkhhLzxxhvEYrGQuro6bpvZs2eTvLw84nK5FL/P8vJyAoB7XgaDwWBEjrGLNpHm//yWTPt0V30vJa7Ze6qMNP/nt6Tnv38ghBAy/r3NpPk/vyWfbD1ezytjBCIY3RGzOYVHjhxBUVERhg4dyt1mMpkwYMAA/PbbbwCA7du3w263C7bJy8tDp06duG02btwIi8WC3r17c9v06dMHFotFsE2nTp2Ql5fHbTNs2DBYrVZs376d22bAgAEwmUyCbU6fPo2jR4/Kvg+r1YqKigrBH4PBYDCiQ7WNOYVq4GA5hRcEMSsKi4qKAAA5OTmC23Nycrj7ioqKYDQakZ6e7neb7Oxsn+fPzs4WbCN+nfT0dBiNRr/b0H/TbaSYPXs2l8tosVjQrFkz/2+cwWAwGKpBcwqtDtY6JRz4I+7c/2Vj7hoiMSsKKRqNRvBvQojPbWLE20htr8Y2xFNk4m89TzzxBMrLy7m/EydO+F07g8FgMNSDOYXqQHMHDZ6cQlpowsbcNSxiVhTm5uYC8HXhiouLOYcuNzcXNpsNpaWlfrc5c+aMz/OfPXtWsI34dUpLS2G32/1uU1xcDMDXzeRjMpmQmpoq+GMwGAxGdKixUaeQiZdwYC1pLgxiVhS2bNkSubm5+OGHH7jbbDYb1q9fj759+wIAunfvDoPBINimsLAQe/fu5bbJz89HeXk5tmzZwm2zefNmlJeXC7bZu3cvCgsLuW1Wr14Nk8mE7t27c9v8/PPPgjY1q1evRl5eHlq0aKH+B8BgMBiMsKlm1ceqQFvS6D2i0MQ1r2Zh+YZEvYrCqqoq7Nq1C7t27QLgLi7ZtWsXjh8/Do1GgylTpmDWrFlYuXIl9u7di/HjxyMxMRFjxowBAFgsFtx7772YNm0a1qxZg507d+KOO+5A586dMWTIEABAhw4dMHz4cEyYMAGbNm3Cpk2bMGHCBIwcORLt2rUDAAwdOhQdO3bEuHHjsHPnTqxZswbTp0/HhAkTOGdvzJgxMJlMGD9+PPbu3YuVK1di1qxZeOSRRwKGsxkMBoMRfRxOF+cQMqcwPLicQho+Zk5hg0Rfny++bds2DBo0iPv3I488AgC466678MEHH+Cxxx5DbW0tJk2ahNLSUvTu3RurV69GSkoK95j58+dDr9fjlltuQW1tLQYPHowPPvgAOp2O2+ajjz7C5MmTuSrlUaNGCXoj6nQ6rFq1CpMmTUK/fv1gNpsxZswYvPzyy9w2FosFP/zwAx544AH06NED6enpeOSRR7g1MxgMBiO2qOHN5WXiJTzsLmH42MREYYNEQwgbyRFNKioqYLFYUF5ezvILGQwGI4IUldehz+w1AICWWUlYN31g/S4ojlmx/SSmffY7BrRthMX39MLCNQcx94cDuL1XM8y+sUt9L4/hh2B0R8zmFDIYDAaDEQ50mgkAWO0s9y0c7Fz1sbDQhIXlGxZMFDIYDAajQVJj84pCNo4tPLx9CuM7p/B0WS1cLhYglYOJQgaDwWA0SKqtXnfQao8v8RJr2DwtafTa+HUKf/37HPq+uBYvFuyv76XELEwUMhgMBqNBwncKrcwpDAuf8LEu/pzCPwvdY2YPnKms55XELkwUMhgMBqNBUm0TVh+zusrQcTSA8HFlnfsiodbG8kvlYKKQwWAwGA2SGl6hCcDyCsPB5pRpSRNHnykVhXWs6EgWJgoZDAaD0SCpFjlC8ZT/FmuIw8cmvbsXcHw5hXYAQC0ThbIwUchgMBiMBomPUxhHAibWoGPu4nn2MW1RxEShPEwUMhgMBqNBwpxC9fA6haKcwjgMH9fa4mfN0SakMXcnTpzA0aNHUVNTg0aNGuGSSy6ByWRSe20MBoPBYIQMv/oYiC9XK9YQ5xTGY/UxDR+znEJ5FIvCY8eO4a233sKyZctw4sQJQRWX0WhE//79MXHiRNx0003QapkByWAwGIz6hd+nEACsDiYGQsUhO9Ekfj7TSk/4uMbmACEEGo2mnlcUeyhSbw8//DA6d+6MgwcP4vnnn8cff/yB8vJy2Gw2FBUV4bvvvsPll1+Op59+Gl26dMHWrVsjvW4Gg8FgMPxSzXIKVUMufBxPIXkaPnaR+Ap7RxNFTqHRaMShQ4fQqFEjn/uys7Nx5ZVX4sorr8Szzz6L7777DseOHUPPnj1VXyyDwWAwGEqpFoWP40nAxBp2T/iYisF4Dh8DQJ3NxVVQM7woEoX/+c9/FD/hNddcE/JiGAwGg8FQixpRoUk8CZhYgzprdMwdv09hPIRi7U4X6nijDmvtTlhgqMcVxSZBJ//V1taipqaG+/exY8ewYMECfP/996oujMFgMBiMcBCHj+Mp/y3WEIePqctGCOBwxf6kmKo64b7A2tJIE7QovO6667BkyRIAQFlZGXr37o25c+fi+uuvx5tvvqn6AhkMBoMRPWpsDp+q3XiFOoU6rVvIMKcwdOzcmDthoQkQH59rpVgUslF3kgQtCnfs2IH+/fsDAD7//HPk5OTg2LFjWLJkCV599VXVF8hgMBiM6OByEQxf8AuumvczV20az1Bxm57oDhOynMLQsYtb0sSbKLTaBf9mTqE0QYvCmpoapKSkAABWr16NG2+8EVqtFn369MGxY8dUXyCDwWAwokNFnR3HS2pwqqwW5bX2wA+IcWhLmrREIwAmCsNBPOZOp9V4Hdg4uIAQO4WsV6E0QYvC1q1b48svv8SJEyfw/fffY+jQoQCA4uJipKamqr5ABoPBYEQH/olTXKQRbzhdhHODMpgoDBtxTiHgrUC22mP/c2XhY2UELQqfeeYZTJ8+HS1atEDv3r2Rn58PwO0aduvWTfUFMmKTrUdLcO8HW3HsfHV9L4XBYKgE/8QZ7+E1/vrTPOHjeAhzxip2hzB8DPBH3cX+vlLFwseKUCQKd+/eDZfL/WMaPXo0jh8/jm3btqGgoIDbZvDgwZg/f35kVsmIOT749SjW7C/GN7+fru+lMBgMleD3cYt3p7DGU3ms02qQksBEYbiIw8dAfDWwZk6hMhSJwm7duuHcuXMAgFatWsFgMKBbt26CcXa9evVC+/btI7NKRsxxrMTtEJ6rstXzShgMhloIw8fxXYFc7TnpJxp1MBnibyRbrGHzEz6OB7HtIwqZUyiJIlGYlpaGI0eOAACOHj3KuYaMC5fj5929KkuqmShkMBoKVby+fvHupNAehUlGvbfRchyIl1jF4fQNH1OxHQ+fKxOFylA00eSmm27CgAED0LhxY2g0GvTo0QM6nfR4mMOHD6u6QEbsUVZjQ4XnB8ZEIYPRcOCHj6sbiChMNOniKswZq4j7FAI8pzAuqo9FOYVxvn9HCkWi8O2338aNN96Iv//+G5MnT8aECRO4tjSMC4/jJd6JNueZKGQwGgwV/EKTOA8f05xIt1PoNjHiwdGKNA6nC9/sPo1eLTPRJM2s+HE2iZzCeHJgqVOo12rgcBHWkkYGRaIQAIYPHw4A2L59Ox5++GEmCi9gBKKwylqPK2EwGGrCDx/He6FJtUfUJhp1nHhhOYXAur/OYuonv2NIh2y8c1dPxY+zc7OPeTmFcSQK6b6dlWxCUUUdCx/LEHRLmgULFsBu921qWlJSgoqKClUWxYht+KKwtMYGQmJ/7iWDwQhMw6o+9jiFJpZTyKeovBYAsOtEWVCPoxNNBOHjOArL0307O9UEgIWP5QhaFN52221Yvny5z+2ffvopbrvtNlUWxYhtaJEJ4D5QVNTFd5iJwWC4qaprQIUmHqcwyaSPK/ESaejx+lyVDWcrlUV6XC4Cp0uiT2EcVh83SvaIQuYUShK0KNy8eTMGDRrkc/vAgQOxefNmVRbFiG34TiHAik0YjIZCQ5po4s0p1DGnkAf/O/6zUFl0z87rOCJoSUPFdlwUmrjfN3UKWU6hNEGLQqvVCofD1xmy2+2ora1VZVGM2MZXFLK8QgajIdCg+hTS6mMjcwr58Cd7KBaFTm+KkLB5dfwU8NDwcaOUBADxf9ETKYIWhT179sTbb7/tc/tbb72F7t27q7IoRuxid7pwuswt/mnl2nnWwJrBaBBUNqBCE84pNOlY9TEPvvDfX1Sp6DF2B98pjL/qY0IIV2iSncLCx/5QXH1MeeGFFzBkyBD8/vvvGDx4MABgzZo12Lp1K1avXq36AhmxxanSWrgIkGDQom1OMk6V1bLwMYPRQGhIhSYCp1DHqo8pIYWPPeFhrcY9NpASL9XH1TYnPCmRXlEY5/t3pAjaKezXrx82btyIZs2a4dNPP8U333yD1q1bY/fu3ejfv38k1siIIv/5fj8+3HhU9n4aOr4oIxGZnoRd1quQwWgY8AVDrT2+w8cCp9DAwscUfjHR38VVioSyVI9CgN+8OrYFVhWvR2F6khEAyymUI2inEAAuvfRSfPTRR2qvhVHPnC6rxevrDkGn1eCm7k2RaPTdPQSi0PPjYk4hgxH/8ENsQPw7hVUSTmGsO1rRoILnBjtcBIeKq9ExL9XvY+iIO6NIFMZL+Jg64MkJepgN7lQCFj6WRpFTWF1dHdSTBrs9IzagLoHTRWTDCic8orBZRiIyPKKQNbBmMOKfWruTazsCxH94jRbKJBl1MHmEAHMKvcf5RKP7M1ESQqbhY4Ne5BTGSQEPbcOTkqCH2fO+433/jhSKRGHr1q0xa9YsnD59WnYbQgh++OEHXH311Xj11VdVWyAjevCrDfecLJfc5pinR2FzvihkTiGDEfdUivqNVsd99bH7pJ9o4ucUxrZ4iQbUQe3ePB0AsL8osCj0ho81gtvjxYGl7znFZOCcwjp7bK+5vlAUPv7pp5/w1FNP4bnnnsOll16KHj16IC8vDwkJCSgtLcW+ffuwceNGGAwGPPHEE5g4cWKk182IAPxw0e5T0qKQCx9nJkID9wGChY8ZjPhHLArj3UkROoVUvMT3ewoXfopAzxYZ+OXgOfxZGLgCmbak8ckpjOPwsc3pgsPpgl4XdGlFg0bRp9GuXTt89tlnOHToEG677TacPn0an3/+ORYtWoSffvoJTZo0waJFi3D06FHcf//90Ol0qizO4XDgqaeeQsuWLWE2m9GqVSs8//zzcPEaaRJCMHPmTOTl5cFsNmPgwIH4448/BM9jtVrx0EMPISsrC0lJSRg1ahROnjwp2Ka0tBTjxo2DxWKBxWLBuHHjUFZWJtjm+PHjuPbaa5GUlISsrCxMnjwZNlvDEUR8UbhXQhQSQrjw8UU8p5CJQgYj/qEnTo3HDIr3nMJqz/qF1cexLV4iTY3NmyLQq2UGAHf4ONCoUrtcoUmcNK+mFzypvPAxANRd4PuDFEEVmjRt2hRTp07F1KlTI7UeAS+99BLeeustLF68GJdccgm2bduGu+++GxaLBQ8//DAAYM6cOZg3bx4++OADtG3bFv/+979x1VVX4a+//kJKSgoAYMqUKfjmm2+wfPlyZGZmYtq0aRg5ciS2b9/OCdgxY8bg5MmTKCgoAABMnDgR48aNwzfffAMAcDqdGDFiBBo1aoQNGzbg/PnzuOuuu0AIwcKFC6PyeUQafvj47+Iq1NgcgmKTsho718esaXoiNyLpfLV7/rFGIwwtMBiM+IGeOLOSTThbaUWt3RnXv+saz7Eq2aT3OoVOV1y/p3ChLqFOq0HXpmnQatzH77NVVmR7mjpLQfsUisPH8dL/sYrLKTRwxTGA2w1PNoVUb9tgiWnfdOPGjbjuuuswYsQItGjRAqNHj8bQoUOxbds2AG7nasGCBZgxYwZuvPFGdOrUCYsXL0ZNTQ0+/vhjAEB5eTneffddzJ07F0OGDEG3bt2wdOlS7NmzBz/++CMA4M8//0RBQQHeeecd5OfnIz8/H4sWLcK3336Lv/76CwCwevVq7Nu3D0uXLkW3bt0wZMgQzJ07F4sWLUJFhbJeT7EO3xlwEWDfaeH7OuZxCXNTE5Bg0CEz2e0U2hwu7qqcwWDEJ+LmvoTEb96Vy0VQY6c5hTqYPBf/hAinc6hJtdWBGSv34Le/z0Xk+dWAusG04KJFVhIABAwh2yXmHgNxGD426aHRaLwVyOy85UNMi8LLL78ca9aswYEDBwAAv//+OzZs2IBrrrkGAHDkyBEUFRVh6NCh3GNMJhMGDBiA3377DQCwfft22O12wTZ5eXno1KkTt83GjRthsVjQu3dvbps+ffrAYrEItunUqRPy8vK4bYYNGwar1Yrt27fLvger1YqKigrBX6xSbRXmFO0RhZD57WgAd1gmwXMFXsKmmjAYcY13DJiJuy1eR93VOZygEdEko9cpBLxFE2qz/sBZfLT5OF5ZczAiz68GtAqXumMdGrtb0QSqQPY6hfEpCvnVx4C38pq1pfElpkXhP//5T9x+++1o3749DAYDunXrhilTpuD2228HABQVFQEAcnJyBI/Lycnh7isqKoLRaER6errfbbKzs31ePzs7W7CN+HXS09NhNBq5baSYPXs2l6dosVjQrFmzYD6CqCK+ahJXIPPb0VAyk2gDa9aWhsGIZ2j42GI2cBd78ZpXSCuPNRr39CV+f71ICRiaW11WYw+wZf1RyQujAkBHjyjcH0gUeoS0uE+ht3l1bItCrvrY874TWK9CWWJaFH7yySdYunQpPv74Y+zYsQOLFy/Gyy+/jMWLFwu2E+eHKMkZEW8jtX0o24h54oknUF5ezv2dOHHC77rqExoCbukJKfg4heeFTiEAVmzCYDQQKnluCs0ljldR6K08docLtVoNlw8XqVF39PPjjwqMNapEjln7XHfefaDwMdeSRi/OKYyP8YH86mMArFehH2JaFD766KN4/PHHcdttt6Fz584YN24cpk6ditmzZwMAcnNzAcDHqSsuLuZcvdzcXNhsNpSWlvrd5syZMz6vf/bsWcE24tcpLS2F3W73cRD5mEwmpKamCv5iFXog7e2pSvv7bJUgpHysxN2U/KJMM3ebt4E1E4UMLzaHC/d9uA3v/3qkvpfCUEglF1r09nKL1/Ax16OQV2ka6Z56VHhU1MXuZ8blFIrCx4fO+h93R/Mw9dr4DB/zq48B8HoVMlEoJqTZx08++SRWr14d8cklNTU10Ip2Qp1Ox7WkadmyJXJzc/HDDz9w99tsNqxfvx59+/YFAHTv3h0Gg0GwTWFhIfbu3cttk5+fj/LycmzZsoXbZvPmzSgvLxdss3fvXhQWFnLbrF69GiaTCd27d1f5ndcP1BW4KDMROakmEALs44UVTpTUuu/PSOJuo8UmrIE1g8+eU2X4/o8zePvnw/W9FIZCqqzeIoQkU3w7KbTxdhKvsjTSU02o8KiyOgSTYWKJSpFT2NiSAIvZAIeL4O/iKtnHBWpJE+ui0Bs+FopCFj72JWhROHLkSOzYsQOjR49Geno68vPz8fjjj6OgoABVVfI7VShce+21eOGFF7Bq1SocPXoUK1euxLx583DDDTcAcIdzp0yZglmzZmHlypXYu3cvxo8fj8TERIwZMwYAYLFYcO+992LatGlYs2YNdu7ciTvuuAOdO3fGkCFDAAAdOnTA8OHDMWHCBGzatAmbNm3ChAkTMHLkSLRr1w4AMHToUHTs2BHjxo3Dzp07sWbNGkyfPh0TJkyIafcvGPghl85N0gB48wptDhdOl1NRyM8ppOFjllPI8FJRS0NpseuaMIQIe7nFd/i4mpt7HD2nkD9TuCpG9/tKUW6dRqNRFEJ20JxCfXxONOG74ACQwMLHsgTdoOeJJ57AE088AafTia1bt+Knn37CTz/9hHnz5kGj0cBqVU8cLFy4EE8//TQmTZqE4uJi5OXl4b777sMzzzzDbfPYY4+htrYWkyZNQmlpKXr37o3Vq1dzPQoBYP78+dDr9bjllltQW1uLwYMH44MPPhA02f7oo48wefJkrkp51KhReO2117j7dTodVq1ahUmTJqFfv34wm80YM2YMXn75ZdXeb31DTwBmow6dm1jw459nuLzCU2W1IMR9hZXlcQcBIIMrNGFOIcMLPUFS10SnvTD7wsUT3IkzQY9EGj6OUyeFHsuSeH1WjRHOf+NfAFXU2WFJNETkdcKB35KG0qFxKjYfKfFbbGKTmWjC7/8Yy4jft9mzbuYU+hJy18aDBw/i999/x++//47du3cjNTUV/fv3V3NtSElJwYIFC7BgwQLZbTQaDWbOnImZM2fKbpOQkICFCxf6bTKdkZGBpUuX+l3PRRddhG+//TbQsuOWGqv3QNqlqQWAt9jk2HlPPmFGoqCwJpMVmjAk4OdVVdscSE2IvRMkQ0glbz4sddhqrLHpeAWCcwpN3gt/b1FEZHMKAaC81o5Y7DPBF/4UWoH8p58ZyLLh4ziZFCMOm7OcQnmCDh/feuutaNy4MQYMGIAff/wRffv2RUFBAc6dO4eVK1dGYo2MKFFj94ZcOjVxi8JDZ6tQZXV4x9tlJgoew6qPGVLwT5AshBw+hBB8uu0E/ioKPKc2VATzYakojHJ4zeUiOHCmEq4wc/L8O4URCh/XevfzWN3nq0QtaQCgfWNv+Fhu3F089ym0OVzcd57iCR/X1/4dDwQtCj/77DM4nU7cdddduOeee3D33XejS5cukVgbI8rU8Cr2GqWYkJua4C42OV3h07iakpHMqo8ZvvBPirGaXxVP7Dhehsc+340nV+6J2GsIW9LUTyL++78dxdD5P+OjzcfCeh5voYmvUxjp6mNAmF8YS1R6iolSeU5h25wUaDXuC3s6ulSM1ykU5RTqveHjQPOT6wv+98K1pDG4/8vCx74ELQpLSkrwzjvvwOFw4KmnnkJWVhZ69+6Nf/7zn/jf//4XiTUyokQNb4A8AHTmhZDlRCELHzOkEDqFsXmCjCeKyusAAMWVdRF7jSqu0MTA61MYXUF/wOOEHjobXmcL7wVu9JxCQU5hbWzu85WiiSaAu5Fzq0bJAITdJvjI5hRGYXxguNDK4ySjjsttNhs9OYXMKfQhaFGYlpaGUaNGYd68edi+fTv++OMPdOzYEfPmzcPIkSMjsUZGlKBX1zQPp7MnhLznZBmOSTSuBrzh41q7M257mjHUh3+CrIzTvLRYgivciZDrane6ONck2eR1CqMdXiupcV9chht+lXYK3f8fCafQ6SKC/TyewseAt4n1fpn0BEeAljRA7BabiKe4ACyn0B9BF5qUlJRg/fr1XNXxH3/8gYyMDFx33XUYNGhQJNbIiAKEEO6qiebhcKLwVDnnVIhzCpNNehj1WtgcLpyvsiExI+TaJUYDgoWP1YU6T7Qps9rwv6Nkfvg4yqKwzCMKxXPYg8W/U6j+e6oSrTdWw8fiGcCUDo1T8e3uQtkZyN4xd9LhY8Ajtk2IOSpE00wANubOH0GfwRs1aoSsrCz0798fEyZMwMCBA9GpU6dIrI0RRWxOFxye5G6ahOstNnGHcjQaoEmaWfA4jUaDzCQjCsvrUFJtE8xFZly4sEITdSn3iEKb0wWbwyU4GasBFTVmgw4GnZbrU1gdZVFYWuNtZRQOnFNojE5OoThFIlb3ea6YyCQ89XMVyEGGj3VaDXRaDZwuErPFJuLRfgAbc+ePoEXh77//zkRgA4T/46AuQaMUExpbElDocQlzUxO4Kyw+GTxRyGAAIqfQGpuuSTzBd56qrQ4Y9UY/W4f+/NRN8TqF0RU31CkMVxRy+dGm6OQUikVgLOYU8qtwxS2iWme7cwqPnKsGIUTQdgzwOoV6ne/FiEmvRY3NKSkKy2vt0Gk1PiI0mvgLHzOn0JegLzepIDx79iw2bNiAX3/9FWfPnlV9YYzoQh0Bo04ruBqkbiEAWReQm3/MRCHDA/+kGKuuSTzBb3cSrmCSQuym1EdOISFENafQW1zAG3MXwZxCsQiMxfAx/zNNFoWP0zyNtu1OIima5aqPAX4FsnBfqbI6MPA/63D9679yj68PxPOeAZZT6I+gRWF1dTXuueceNG7cGFdccQX69++PvLw83HvvvaipqYnEGhlRoFZUZELpwhOF4iITCht1xxAjKDRhojBsynmiIxKiUOymJNbDmLuKOu/M4HDzUGskjmemCOYUivfxWNznqThK5FXhUvjiWSqfk8splEhbkGtgffRcNUpr7Pi7uAoFe4vCW3wYiOceA7wxd0wU+hC0KHzkkUewfv16fPPNNygrK0NZWRm++uorrF+/HtOmTYvEGhlRgCawJ4rCw52aekVhc1mnkI26Y3hxuQiqbEwUqok4fKw2tH8ddVPqo9CEho4B9QpNhE5hBHMKPZ8fjbrGolMonurBR6vVcPmXUhcddpmcQkC+gTW/fdIHvx0NbdEqIPW+ufAxyyn0IWhRuGLFCrz77ru4+uqrkZqaitTUVFxzzTVYtGgRPv/880iskREFpHJwAG8FMuBbeUzJ9DSwLmENrBkAqmwO8PvYspzC8KmIsFMoDh9zEx/s0RP0NHQM0H0o9L53XHstXqFJJHMKaXg/O8Uk+HcsIZVbx4eGlKUu4uTG3AHynyu/Efb2Y6XYfbIs+EWrQAXXm9H7vuuruj4eCFoU1tTUICcnx+f27OxsFj6OY2okDqIAkJVsQnOPGKTJyGLYqDsGHzVCaXanC+sPnI2IKxaPVAgKd9T/TMStSryzj6N30izlOYWEhBe65pxCU5ScQo8zSLszxGLDdrnKYwr9rPyFjyVzCnXSn6t4Okp9uYVS4WM1C01OlNTglrc24sd9Z8J+rlggaFGYn5+PZ599FnV1Xmu4trYWzz33HPLz81VdHCN6eKeZ+FYXvz7mMrxy26W4JM/icx/QcApNNh8+j0Nnq+p7GXGP+IQYiohZsf0k7npvCxau/VutZcU1/JzCiISPRW5KoiH6OYX88DEQuvglhEg2r47knF76+TVJd19AV9SF53RGAilxxIemDkiGjx3y4WM5sU1F4eWtswAA3/5eiHNV0c875wpNItSn8Id9Z7DlaAmWbz0R9nPFAkHXib/yyisYPnw4mjZtiq5du0Kj0WDXrl1ISEjA999/H4k1MqKA1yn03SU6NbEIqpDFZNH5x3FcaFJcUYfbF21Cs4xErH+UNWEPB7EzGErRwIlSd9ThVFmtKmuKZ+rswnYfVRFw72iIXxw+rrU74XIRaLW+DpHalFT7Xkz4xqQCY3W44KlXkaw+jkj4mIpCj1PodBHU2JwCp7K+ob9LcTsaCg0fS4lCm4LwsXiiyVmPABzSIRtVVgd2nSjDss3H8dDgNiG+g9CQzCk00upjV9j7N80fjcU80lAIqSXNwYMHMXv2bFx66aXo0qULXnzxRRw8eBCXXHJJJNbIiAL+nMJA0EKTeM4pPF1eBxcBjpfUcCOdGKFBr8xpWKkiBFFIC59qWPjY52QTSaeQnjj5DltdBKp1pfBxCkMsUOJ/PmZDlHIKPd9RTqoJeo/AiLUCq4DhY6Mfp9BP+Fiu1U9xhVsUNkpJwN39WgAAPtx0LOrtaaRG+/H3i3D3B/o9x2JvylAI6TLGbDZjwoQJaq+FUY+EJwrdTmG1zYk6u1OywXWsQw+YhLhzI7NTE+p5RfELTbJvnJaAY+drQio0oSemaM/ejUXEJ5vItqRxnxIS9N7fcI3NKRlBUJtSkSgMVfzyj2V8BygaLWlSEgxISdCjtMaOijo7ci2xcxzxV30M8JxCCTHr8FQfG4OoPqZOYXaqCV2bpuHfKX+iuNKK/+0twqiueSG+i+DxFz4G3G64OYTznvj5Y+0iIFQU/dK//vprxU84atSokBfDqD/8hY8DkZqgh0Gngd1JUFJtQ55oFF48wP9Bn62yMlEYBvQgmWcx49j5GtTZXbA7XZKhJzmqOVHYMA604VAuqmSNbPWx203RajUwG3SotTujVqHJrz4GgMoQ32e1zLEssjmFXuGRajagtMYec8UmlVZfx4xPspJCE399CsXhY09OYaNkE4x6Le7o3RzzfzyAD349EmVRSPNlvfuDTquBUa+FzeEKO6+Qcwpj7PsOFUUK4Prrr1f0ZBqNBk4nu7KPR7g+hSFcMWk0GqQnGlFcaY1bUch3Y87FcRg8FqDh4sY8l6SqzoH0JOWj2ajwifbs3VgkGuHjConQYqLRLQqroyTMxeHjUN9nNVd5LDyWRTSn0HP8SE0wcDl7sdaWhhNHck6h57uXEuOKcgp5n2u11cE5to08bXpu790Mr607iB3Hy/D7iTJ0bZYW4jtRDr9nqlgMmw06tygM8xhDP9cqqyNq+beRRNGlu8vlUvTHBGH8Qn8YoSZGx3sFMt8pPFcZvwUzsQD9LNMSjVzuTrChFSoIWB8x3/BxNHIKAV6vwih9B7TQxF8TZSXQzye6TqH386OfYaw5R1JhVD7+wsfc7GMJwWOUCMsXe46hiUYdd07JTknAyC5uh3BxlNrTVPN6porft1qj7vipR6G627GEIlGYkZGB8+fPAwDuueceVFZWRnRRjOhD3QBziPmAXAPrOK1A5od66qNtQkOCf/KhB+LKIPMKqdsTLZcqlqGikE7LiETuUpVEaDHaDX6pU0hnrIcqCmnKQZJR7BRGPqdQ4BTGWI5ZFbdG/06h1G+OTjSRHHMnIbZp6Jg286aM79sCAPDN7tOCiSeRgn4vBp2G+/4pas335v8eG0KxiSJRaLPZUF5eDgBYvHixoEcho2HgdQpDE4XcqLs4Db3yD+BMFIYH3zXxNyXBH1yhSRSbJ8cqdN9slOz+jaktlAkhkj3soj3/mBaaNE13p5+EXn0sPZ1JrnVKuNid3ry0VLMeqWaPUxhjAkHci1IMFz4OdqKJRPNqLp9QJAq7NktDt4vSYHcSLNsc+b5+/IsdjUbocqrVq5B/7og1dzgUFMUK8/Pzcf3116N79+4ghGDy5Mkwm6Xzxt577z1VF8iIDpxTGGKVYWacTzURhI/jVNjGCtQpTE0wcM5TsCd4uj/anMEXqTQ0aOPqvDQziiutnOhRixqbE05PYz+hKKROSuQdrzq7E3V2t6homh5hp9CurijkHzuSTXpun481gRAofBzqRBOp5tVnPS6gWBQCbrdw5/FdWLr5GO4feLGk+6gW/t6zWSUnnB9lirU80lBQ9G0sXboU11xzDaqqqqDRaFBeXo7S0lLJP0Z8wjmFIZbmU1EYr04hCx+rhyC/yhRq+Nh7cL3Q29JQx4k2Rla7+pg+n85TcUyJZviYuoR6rYZr4xJyTqFMfrQpQk4hPXYkGnXQ67Rc+DjWWpRUSrjBfPxONPHTkkbqcy3mVR6LubpTY2SnmHC20or/7S0M5i0ETYVE5TFFjZxCm8MlKFyKtQuBUFBkC+Xk5ODFF18EALRs2RIffvghMjMzI7owRnShB9JQ+zVlJMd3oQn/xyye2ckIDvpZppoN3AkoGKfQ6nByJyHA7fxYzNIhrwsB+nnSau5Qw6py8Jsa80NsNGoQjQpwGmFISzRyJ/BQ3ydteO7rFHqqjyPkFNJ9nSs0iaHwsctFJPNG+cgVmjhdhHOSlVYfczmFEq29jHot7ujTHPN+OIAPfjuK6y5tEuzbUYy/3oxqhI/FbYdi6TsPlaB92yNHjjBB2ADxHkjDDR/Hp6DiX9XHq7CNFQQ5hX7aXMghPild6E4hP3wMuE9i9CStBnInzkR60oxC+LjM06MwPdF7IRFq7iQVsdHKKeS3owHcF0NAbBWa+KvCpSTJOIX8CSR6ifCxpCiskncKAeD2XhfBqNNi5/Ey7DpRpuxNhIDUNBOKGuFjsRscS995qISkALZs2YKffvoJxcXFcLmEP7B58+apsjBGdKmxh96nEOCNuotTQcX/cZdU2xpEv6n6QjjdIfhQmjhn7kIvNqF5SnlpXtel2uaQnWEbLJUyJ85otqSh4eP0RKN33FqoTmGAnEKni8DhdEGvUp5qhUhUp3LFVbHjGlGhJ1WFS+GHjwkhnGvMF4X+Ck34zavlCk0ojVJMGNmlMb7YeQqLfzuKS2+9NMh3pAwup1AyfOxed3hOoUgUNgCnMGhROGvWLDz11FNo164dcnJyBOEGcXUPI36okanYU0r89yn0/pidLoLSGhsyZa5yGfI4XcJKVn+9z+QQOxUXelsaGj7OSjZxk4OqrREQhaLfvlotO5RAp5mkJxm8+0yYzavl+hQCbrdQLVHoLWYwCP4bSwKBL/zlztPUKXQRoM7u4i4KHLxUDunwsW9YPpAoBIC7+rbAFztP4dvdp/HENe2RnaL+FCl/4WM1cgp9wscxdCEQKkErgFdeeQXvvfcexo8fH4HlMOoDu9PFhVQSQ+1T6BGFlXUO2ByuiFaUqQ0hxOeK71xV/YvCv4srMfWT3/HQla0x9JLcel2LUvgnckGhSRAHS7EIvNAbWNPwscVsQJJJj7Iau1tkW9R5fjqbWnzipCIhGp9/WbXXKUz2U/CgBM4pFLXX4hdJWO0uJCofsOMXrkehmYaPQ2vDFEkqJSbWiEk06qDR0CbMdk4UUqdQp9VA56d5NT2HOF2EK9bzJwq7NkvDZRelYcfxMny8+TimDGkbwjvzj788ygQVwsficPEFU30seIBWi379+kViLYx6gu8EJIbYp9BiNnAHDPFg+1inzu6Cw5OjRSs8Y6EC+ZOtJ7DnVDm+3HWqvpeiGHryMeq1MOl13kKTYHIKmVPIQQjhHCeL2eANrapYgSw3/ow6KTVh9nFTQkmNb6FJqK135JxCvU7LHaPUzCusELU9SY3BljT+HDOKRqORLPKx+WlHA/BzCt2fe0m1DS7ibraeGWC05fh+LQEASzcdj8ikGfF3wyfR4OnDyZxCAUGLwqlTp+L111+PxFoY9QS9UtJrNZItB5Sg1brnHwPx15aG/pB1Wg2aZcSOKNxy1N3iKZ4KLbyTHdwHXCo0gknAFvdJu5BzCqttTtCaklSzIWzBJIU4J47ChY+jMLqLX2jCL3hwhVBQUy3jFAK8/DcVK5DFgouKwjq7KyJCJxSUiEIAkvsX7QQg1ytU3Lyaho4zk4wBQ/RXd8pFTqoJ56qs+G6P+u1p/M17Nhvda6tTodCEXmzEUspAqAQdPp4+fTpGjBiBiy++GB07doTBILRlv/jiC9UWx4gO3sbVurDyQjOTjDhXZY27YhN+aKWRJ6+lvtvS1Ngc+OOUe4pQPIVPxUULoTSv9hGFF7BTSEPHRp0WJr2Wl2+n3slHrkKzvgpN+MKlxu70G/KUQm72MQCYDFrU2p2wOdV7T/xm7YBQgFTW2es9DcW9Dv/TTCjJEn1F/U0zAdyfKeB1FGnlcZaC923QaXFH7+aY+8MBvP/bUVzfTd32NH6rj1VpSeN+/tzUBJwqq20Q1cdB20IPPfQQ1q1bh7Zt2yIzMxMWi0Xwx4g/vI2rQysyoXiLTerfZQsGvlOS5em3WN9TTXYeL+NC2uGOYYom3vYcHqcwhObVVSIXLBp98mIV7vM0uwsEvC6a+qJGLL64MXdR2P+8hSZGmPRa6D3OSygVyDV+jmfU1apT0SmkeWR0n9dpvWHYYERCcUUd3t1whLsQUBN6ESE395iSJBU+dvgPH5tETmFxhfw0Eylu7+1uT/P7iTLsPK7uAIxKmXxZQN0+hU08oxkvSKdwyZIlWLFiBUaMGBGJ9TDqAe+VdWj5hBSugXWchY/57ha9uq3v8PGWIyXc/8eVU8gdhD1J9yFUH4udwnh6/2rjFYVUZLt/o1KjyEJFHPKneCeaRCN8TJ1Cr/gtr7WHlDvJHc8kwsdiV0sNxPs84P4sq6yOoETCwrV/48NNx2BzuHD/wItVWx+gPHws1SPS4adxNeDbp5A6hUqribOSTRjcIRv/21uEzUdK0O2idEWPU4JcZT2gbp/CpmlmbMEFmlOYkZGBiy9Wd4dl1C9cj8IQi0wo8Tr/mD8fs1GMiMKtR72iMB5zClNEOYWVde7eZ0oQC54LudCkXNQYWUmhCSEkqDYbchWa0WxJw59oAiDkCmRCCLdeqbCzOP9NDaQEF61EDqYCeV9hBQDgeEmNamuj+Mut4yNVaELDx3L55j6iUEE7GjE5nsknavd2VBI+DqsljVXoFIaaBxtLBC0KZ86ciWeffRY1NervuIz6getRaFArfBxvopA6JQZkpdDwcf2JQrvThZ3Hy7h/x1P42Hfkl/tg7HARwYxQf/Ab7QIXdqEJDT9SkaGkh99z3+zDpc+vxuGzVYpeI1D4ONJOrcPp4vab9ESDYC3Bho9tTm8nAanIBzfqLgKiMJU3ipEbdadQ5BBC8Hex+/s64wm/qolcg3IxUukJdof/nEIqCq1hiMIU3sWjmijpU6hGTiHtWuFu5xPfF7FBq4BXX30Vhw4dQk5ODlq0aOFTaLJjxw7VFseIDjSRXz2nMM5yCnl5cFz4uLL+hO3eU+WotTuh1bgbycZT+LRC1Mg30cDrfVbn4PJ4/EGdwuwUd/J2NHLaYhV+OxqAXx0qf+LZdPg86uwu7DlVjlaNkgO+huyYO4+oirRTW+Z5jxoN732G2MCafwEhVWgiNZItXOh3JHAKg2xgfbbKyrnCkRGF8rl1fLwOrXfdXEsavUxLGpnq42BEYbjzrqWoszu5tUs5pFyfwjCOL/SiLTPZBJNeC6vDhYpae1zPag9aFF5//fURWAajPqHhlnBzCrmZn3HWwJN/UqSVguerrYJRT9GEho67NE3DrhNlqLU742bsnlhgaD1J95V1DlTW2RWdKKgQaJRicovCOL/yDodyUeGO3HxaPrSSV6nrUikTPqY5V3V2V0T3P5pPmJpg4FqYKHmfUlABm2DQSjZaNnGulpqFOr6fX7DhY+oSApF1CgNVckuHj93Oq14bwCl0CkVhdlBOoefzUvG3TvcdjQZIlrhA4JxCW+gXCHyxnWo24GylNaaalodC0KLw2WefjcQ6GPWIVxSGFz7mXIw4ywHjj6mibqfdSVBea+dynKLJliPuCrwBbRtxw+LrHM6wv59oIHWCTPGIQqUn+CrOKXSfVOJtf1IT6rxSkZEUwCkkhKC02v0YpZ+3nIvEv0istTu511abUl6PQkqKAkdUCn+Vx4D6TiHfjeJ/fsGGjw/xROG5KhvsTpdsuDYUKq3C3FQ5vA4tv0+h8pxCQkhoTmEE5kVzQtiol7ygSTSqkFPIuwhOTdDjbKU17otNYn4W2alTp3DHHXcgMzMTiYmJuPTSS7F9+3bufkIIZs6ciby8PJjNZgwcOBB//PGH4DmsViseeughZGVlISkpCaNGjcLJkycF25SWlmLcuHFca51x48ahrKxMsM3x48dx7bXXIikpCVlZWZg8eTJstvjKn5OCCx+H6RQGOmHFKvwfdoLBO4WjPvIKXS6CbcfcTuEVbbO42+MlhCwlMJKDzBeijXPpSSVe3nskoK47DUelBHDQqm1ekaLkBGt3urj2LGJRmKD3Hg8iWWwiLjIBvI2ng3YK/VQeA+rnFFIBIHajqPhSus8f5IlCAChWuU9qlZ/cOj5S4WN7gPCxibefVFodnNsXVE5hmKMNpeByZWXeMzexx6a8CE7uNVITDLxI2QUmCp1OJ15++WX06tULubm5yMjIEPypSWlpKfr16weDwYD//e9/2LdvH+bOnYu0tDRumzlz5mDevHl47bXXsHXrVuTm5uKqq65CZWUlt82UKVOwcuVKLF++HBs2bEBVVRVGjhwJJ6+B6ZgxY7Br1y4UFBSgoKAAu3btwrhx4wTve8SIEaiursaGDRuwfPlyrFixAtOmTVP1PdcHqjuFcVYYUCFyt2gF8tl6yCv8+2wVymrsSDBo0blJGhfuipcK5IpaX0ciJcgTJD+nELiw+xT6VB8H6FNYyivyUpKfxd9G7ARqtRpeW5rIfQf8djQU2mQ56JzCAE6hSWWnkB+W5btRtIWQUoHwt0gUqh1CDrb6OJiJJibenPtTpbXcbVJtYOTgxmGqGHoNJIRpTqGLhNaiSHxB5R1vGF+miJigVcBzzz2Hd955B4888giefvppzJgxA0ePHsWXX36JZ555RtXFvfTSS2jWrBnef/997rYWLVpw/08IwYIFCzBjxgzceOONAIDFixcjJycHH3/8Me677z6Ul5fj3XffxYcffoghQ4YAAJYuXYpmzZrhxx9/xLBhw/Dnn3+ioKAAmzZtQu/evQEAixYtQn5+Pv766y+0a9cOq1evxr59+3DixAnk5eUBAObOnYvx48fjhRdeQGpqqqrvPZowp1DYCy4r2YTD56rrxSmk/Qm7NUuHUa9FolEHq8MVVogjmkj1vOMaWCsMq3Dh41S3OL+QcworRPtmUoA+hfy540pEON3GbNBJnvQTjTrU2JyosUfuO+A3rqbQfozBigS678gdy9TOKeR3LuCTwgkEZfs8dQrNBh1q7U6cKY+MKAxUfextNu/bkibQmDvAKwqzU01B5WMHG01QgvhiX4yZV/RWZ3MJHE8l8NeabNJfuE7hRx99hEWLFmH69OnQ6/W4/fbb8c477+CZZ57Bpk2bVF3c119/jR49euDmm29GdnY2unXrhkWLFnH3HzlyBEVFRRg6dCh3m8lkwoABA/Dbb78BALZv3w673S7YJi8vD506deK22bhxIywWCycIAaBPnz6wWCyCbTp16sQJQgAYNmwYrFarIJwtxmq1oqKiQvAXa6hVaJLEq1YM1Y6vD8QHj/psS0OLTHq2dLvu3FSJOHHLJHMKg6wkpYKHOras+lh59TG/R6iSpH1/Ex8Ab7FJJN1//og7ChUJwecUureXy39UO6dQLh8zGNeovMbO5eHR372aTqHVIZ33KIV3oonUmDtpkafVargJNCdL3a3qGgU52i8ShSZyrZYoBp13ck4oFcj0+RONOuh1Wu5C+ILLKSwqKkLnzp0BAMnJySgvd89nHTlyJFatWqXq4g4fPow333wTbdq0wffff49//OMfmDx5MpYsWcKtBQBycnIEj8vJyeHuKyoqgtFoRHp6ut9tsrOzfV4/OztbsI34ddLT02E0GrltpJg9e7ZgDGCzZs2C+QiiAj3ghxs+pgcUF4m33nrCA3t9TjXZ6nEKe7VwnxwSDPUXPrY7XUGH76ROksH0IHO5CBcu9jqF8bMvqY04HB+odYfQKQx8cgoUVqS9SyMZPqYhb374OEnCsVKC91gWyClUKaewVs4pVB4+/vusO9WpsSUBrbKSAABFFeode/i/u0CjTLmJJrzfnC1An0LAK7ZPepzCYPIJAe9+bXO4VHNxvU3Z5d9zOL0KxZ0W4rX7hpigRWHTpk1RWFgIAGjdujVWr14NANi6dStMJnUHf7tcLlx22WWYNWsWunXrhvvuuw8TJkzAm2++KdhObFMraSUi3kZq+1C2EfPEE0+gvLyc+ztx4oTfddUHtXZ6dR2eU5hodPekA9RNGI404pAnFYXRHtd3srQGp8vroNNq0O2iNABeoV4f4ePRb/6G/i+tVezWOHmCTigKleeH8V1BmlNoc7o4t+JCw6d5Na/CX8qNL6n2ihAln3egsKLZ6E3GjxQ0fMwvNFHSj1EKzimMUvWxrFMYREsamk/YOjsZuRb3Pq+mU8jPe5Rq08NHapJMoJxCwPu5nioLTxQC6uUVKgmZJ4SRMyvuyZoaZMpArBK0KLzhhhuwZs0aAMDDDz+Mp59+Gm3atMGdd96Je+65R9XFNW7cGB07dhTc1qFDBxw/fhwAkJubCwA+Tl1xcTHn6uXm5sJms6G0tNTvNmfOnPF5/bNnzwq2Eb9OaWkp7Ha7j4PIx2QyITU1VfAXa9CrQrOCxsL+0Gg03ME4XopNCCE+Y77qyymkoeNOeamcU+KtkIvu51lSbcPvJ8tRWmPHac+BPhD8gzn/QBxMTiEVAVoNkJ7kfY54CZ+riYPn1FpELWnk3PiyIHMKq7hWJTJOoZ8Gv7/+fQ4D/7MOGw6eC/g6/iiTCh+H2qfQc9yRCx+rXX0sNc0EQFChRL4ozPG442qKQqWVxwAvL9zmHdfmCJBTCHjzCqkoVDr3mKLTarj0I7UMBSUNu9V1CoMrLopVghaFL774Ip588kkAwOjRo/HLL7/g/vvvx2effYYXX3xR1cX169cPf/31l+C2AwcOoHnz5gCAli1bIjc3Fz/88AN3v81mw/r169G3b18AQPfu3WEwGATbFBYWYu/evdw2+fn5KC8vx5YtW7htNm/ejPLycsE2e/fu5VxSAFi9ejVMJhO6d++u6vuONvQqSY0+ZIES4WONGpsTTs/Bzxs+dp+czkbZKaT9CXu28Fbxm1Xouh8K+4u8ua9Kq3/pCdCk13LOARBc+JieEJJMepj0Ou+ouwuwV2GlQGS7P8NAbrwgpzCIQhO5vCt/Oa3f7i7E0fM1WLXndMDX8Ye30MT3QiL46mP/LWnEI9nCpUJGePDd8UCzcA8KRKFbTBWp6hQqm2bC34YQr2vv7VMo7zKGGz4G1C824S72/ZzXwpl/LHYilTiFlXX2iDQnV5OwVUCfPn3Qp08fNdbiw9SpU9G3b1/MmjULt9xyC7Zs2YK3334bb7/9NgC3MzVlyhTMmjULbdq0QZs2bTBr1iwkJiZizJgxAACLxYJ7770X06ZNQ2ZmJjIyMjB9+nR07tyZq0bu0KEDhg8fjgkTJuC///0vAGDixIkYOXIk2rVrBwAYOnQoOnbsiHHjxuE///kPSkpKMH36dEyYMCEm3b9goM2BzWEWmgBUWFrjJnxMf9h6rYY7QGSl0FF39eMU0mRzgOfURFkU7S/0tnRSKvDlwjXBnODpayXznFK70xE3zrOaVPAS2alLo9FokGzUo9LqQFWdA9kpwsfwcwqVhOH8zYalrw1Ii0LqIFMhECpSTmFSgNxJOaoVtqRRu/rYVxR6xVWl1eF37Bl1CttkpyDTc0FarGJOYUUA4c/HpHdPgnG6CKrqHEg26WFTED6mnyu9KAm20ARwHzfOVKg3EYQ2cbckyn/25jDCx2KxrSSn8I53t+DgmUqsmtwfLT35o7FGSM2rP/zwQ/Tr1w95eXk4duwYAGDBggX46quvVF1cz549sXLlSixbtgydOnXCv/71LyxYsABjx47ltnnssccwZcoUTJo0CT169MCpU6ewevVqpKR4j5bz58/H9ddfj1tuuQX9+vVDYmIivvnmG+h0XhH00UcfoXPnzhg6dCiGDh2KLl264MMPP+Tu1+l0WLVqFRISEtCvXz/ccsstuP766/Hyyy+r+p7rg9oAB9JgCDUXqL7gX+nT3NBGvPBxtKqoS6pt3MlB4BTWU/j4r6LgRaG4fQolmD6FVSJRSMXBhdjAWty4muJt/eT7mfCdQpszcCujQHlXnCiU2AdoqPBUGKKQEMKbaOIVhcFWrFPoOuUKTdTOKRTnlVESDDpOKPlLm6ixOThR3To7Gbkep7DKqnwCUCDE6TH+0Gg0Phdx1CnU+80pFH7eITmFKjewLix3f670M5WCO76G4RTSVIFAU2wcThf2nCxDjc2J/64/FPTrRYugVcCbb76JZ555BlOmTMELL7zANYBOS0vDggULcN1116m6wJEjR2LkyJGy92s0GsycORMzZ86U3SYhIQELFy7EwoULZbfJyMjA0qVL/a7loosuwrfffhtwzfFGtUp9CgGvsIyXhsOVEgd1mlNodbhzupQcTMOFuoSts5ORwevXFgvhY6WCVE5gBNOYlm5DhU8ir83RhYa4cTXF37SPshrhCanK6kCCn1zhQG07uEIT0f5HCOGcwlNltSHPCa+oc3DpG2kS1cc0vSNQgQSlOkAqjOoTTWSqjwH378BaZXVvk+5zNwDg8NlqAEBGkpH73aeY3E7wmYo6JDdKDnuNwYSPAfe+UF5r9xGFSsLHFNo5IBi8aSbq5OSd9vR6zEszy27DzfcOyykUhY9lcgrPVllBMwlW7DiJKUPacoVFsUTQTuHChQuxaNEizJgxQ+C09ejRA3v27FF1cYzI43QRriu7KqIw7pxC3/CP2ajjkp7PRSmvcBsNHfNcQoA/tD16otDpIjhwxjthIdgZuuKihaAKTWxCp9Cb0xYf+5OayDmv/tx4vlMIBHZnlYaPxftfWY2du1iwOlwh/05o6DjRqBOIV75Ilbsg2F9Uga9/P42Nh87j7+IqlNfavWPuouQU+hNc9Hvzt98fLHY78q2zveKPCiq1GlgH+o7FiNseBWpeDQAm0X2ZSaGLQjWcQpvDxRUKNvYjvFQpNDEJC00qZfJIi3jfp91J8M4vh4N+zWgQtFN45MgRdOvWzed2k8mE6upqVRbFiB78H0O4fQoB7ySCeBGFcgfMzGQTqktqcK7KGpXcD+oYdG5iEdzuL6crUhwvqRHsF0oFWaD8KiU956q46lH3+66P9x8riBtXU5JlTp7uUKxbZPHzwvxBn0PK6QLkRfkpUUX6qbLakEKGUqFjwJ2jZtBpYHcSVFsdPuurtTkx+s2NsgKivnMKAWUNrPmVx5RcSwIOna1WrdgkmPAx4Lt/cS1p9P7Cx9770hMNPs6hotflLh7DP3ecqagDIe7vmx95EZOgZvWx5/MlBKiy+e6ztMCETq35eMtxPHhla0Erplgg6G+uZcuW2LVrl8/t//vf/3zaxzBiH3qw12i8jZLDITECg80jiVT4GPBWIEer2IS6QumipGiz5+QWzfDxX7zQMaC8vRD3WZrkRUygSkx6MZEkyim8EBtYy4aPjdK/sSqrgzuBU3ckkDvLhY/lJprI5LSKRSGdZBEsVMSmifZ7jUbjt9jkdHktqqwO6LUatMpKEogyvVaDdrkpPo8BIuAU0pY+EoUkShpYHzxDi0y8ojAnhfYqVOfY4/1dKrvoT5LJKVTSpxAILZ8Q8M67VkMU0tSGxpYEv2kNZqN73Wr0KUww6LjPQeo7p07hgLaN0LFxKmpsTiz+7VjQrxtpgraGHn30UTzwwAOoq6sDIQRbtmzBsmXLMHv2bLzzzjuRWCMjgtCTbaJBF1JOkJh4KzSRm10a7V6FckUFZkPoB61Q+ZNXeQyEUn0sauTLu4KusTv9VkH6VB9fwDmF3vCxdDW3+Huh+YRmgw6NUkw4WVobcMxaoNAidWzF+5+4d2WoxSbeaSa+bkmySY+yGrvkBSYNrTbPTMSaaQMBuNuKnKuyIsmoF8xR5kOdQptKzdC9OYVS4WMqcuRF4d9nfZ3CHJUbWHPVxwrDxymi/UtRTiFPMAbbo5B7Xe7iMfycwkLP/tHYIp9PCKjVksb7uaYmGHBOJo+00PN9Nk5LwIgujfHQsp344LcjmHBFS1WidGoR9EruvvtuOBwOPPbYY6ipqcGYMWPQpEkTvPLKK7jtttsisUZGBOGKTFToUQjwXYz4cHboFZ34pEjb0kSrVyHnCokEQGK9OIVuUZiWaEBZjT2IPoXSYSqT3j1j1OEiqKyz+xWFVWKn8IIOH0s3RpbL2y3hjYtTOkUmUJ9Cs0yfQrEIFDuHSvFOM/F12vxVo9LQKj9RP8GgQ9P0RL+vx/UptIcvCqUa3/PxNrCW/g5sDheOnXc7rG14vYVyUtRtYF0VoMJcjPhztznc7rP/6uPwncJg+pkG4rSn8rhxmn+BGl5OoW+UKdWsd4tCiQsBeiGTm5qAqzvlonlmIo6dr8HyLSdwz+Utg379SBFUvNDhcGDx4sW49tprcezYMRQXF6OoqAgnTpzAvffeG6k1MiKItx1N+EUmQPw1rxa3FaBE3Smskw4VRmPMmBhaeXzZRelBvbZc0r1Go1FcgSx2ClmhiUThjkyOZgnt95dk5NwepeFj2ZY0Bun9j550adgzVKeQFppI5X35izrQ0GpOkK4UrT5WwymUanzPJ1A16tHz1XC6CJJNem6SCeAVumrlFAZbfZwkyu1TVGiioihUY8xdYRl1Cv3vH/7G3J2vsnI5n1LIOYWATPiYdyGj12lx3xUXAwAW/XJYtXQGNQhKFOr1etx///2wWt0/yKysLGRnZ0dkYYzoQF0gs0r2dfyFj6VPio2imFNod7o4J0ZcaRrt6uMamwPHStzuRffmblGovE+htLMFyAsZMdyYMqOw0ORCbF4t5x7L/cZoKDYjyajoBMt3ugKNuZNzCmmj9dCdQppT6CsKxeKED3XRcoJs6WFS0Smkop3f+J5PoPnHVHBcnJ0sSN2hU03UamAtrpINBP2tisPHBoUtaUJpXA3wcgpVOHcoDR8n+nEK73h3C4Yv+FnWsZVKPeIaWEvus54LGc/3e1P3JshOMaGwvA5f7jrld53RJOjKgt69e2Pnzp2RWAujHqjlBsir5RTGW6GJdE5VNJ1C4Tgzcfg4un0KD5ypAiHu99803X1ADbrQREJgpChMIvcJH1/QzavlCk2khTK/kldJxXeNzcn1TZMtNJEThR4npjcVhaW1ITV6965Z/kJC6qKkiBeKCwY1cwr5xw6pfOxAzYylikwAr2g4U1EXsDBLCUFXH4v6YDo8xUvGSBeaqBg+po2r8wKFj43SOYVVVgf+LKyAw0Vw4Eylz+PsThd3TBY6hdLFRYQQn33WpNfh//q7w8ZvrT+kynetBkHbQ5MmTcK0adNw8uRJdO/eHUlJwnYdXbp0UW1xjMhDTyxqjLgDeC5GnIT75Bouc6PuopBTSB2hFJPep0lvQpRz6mjlcYfGKdx3GW5LGoBXgRx0+PhCLjSRLj6Su/Aq5eUUKqnkpPfpZJwuQDqnlRZ0AEAPT1/NSqsDFbUOvyPFpPBbaCJTZQ0AZyo9TmGQTZK9OYXh/54Chd4DzcKVKjIB3KJKowEcLoLz1baQRZZ3ncH2KRTmo9qCrD7ODjd8HMVCkwSZ6np+2FhcVAUIj2P8Cyo5d7iizsH9hvh5sGN6N8dra//G4bPVWL2vCMM7Nfa73mgQtCi89dZbAQCTJ0/mbtNoNFxHezrhhBEf0EkFaoy4A+KvhYjcQPtoOoUVMmFCQL55cKSglcftclI4QRB882r5pPtAOW5ip/BC7lPoDR9L930Ufy+CnEIFnzc9+co5XQD/8/e+Fj3hmg065FkSkJlkxPlqG06W1cCSaJF8Hjk4p1Aqp9CP20mT9nOCdgrVyyn0pktIHzu9zaulfz8HPQ6U2Ck06LTITDLhXJUVZyrqwhKFTpc3RUBp9bH4Ao4LH/vpPchvXh1yTqFKfQrr7E6u6CpPYfWxOBJzkOcOni7zDR/TNZoNOoFYlrsQoCFoi9ng06T9rr4t8P6vR6M2KCEQITWvZjQcAs0KDRZ/I7hikUqZPDjap7DG5kSNzRHRlgFywhQAEg3RrT6mlcftG6dy32XwY+4knEKFaQXiE9gFXWgiO+YucE4hPfH4O8FyrUr85JolcuE1FzdujuYTNkk3Q6PRoEm6GeerbThVWotL8oIThbTQRCp8LPc+XS6CYk+ub7BjwqijZXcSuFwEWoXj86TgOheYpJ3CFD9FB04XweFz7ob1YqcQAHItXlHYqUlwnykf/u9NuVMoPIZzotDPZ6VO9bHHoaxzhDw2EfBetCQadbKCnWKWuejmO4U0FM1H7phNX0/8nftLd5hwRSv8X/9WPhGB+iLonMJjx46hSZMmaN68ueCvSZMmOHYs9hoxMvxDT/iJJpXDx3EiCuV+3MkmPZd/dK4ysldwcq1HACCBNle1O0PK2QoGQghXedw+NyWokYUOXrGMVDgtmcuvCi18fKE5hXV2JzefVxySlQ0f13hDsakybiIfudQJPvyLIXphQsNpdKZsE89/Qyk24a9ZDHWOxCkH56ttcLgINJrgixr44iVctzBQWJaKeSlhfrK0BjaHC0a9VrKNjloNrOn3b9RrOZc0EDR87C00UT7RxKjThixu6DHC4SJhzaYuVNi4GpDvU3hQIArlnUK5nqxip7DIT2FUaoIhZgQhEIIoHDRoEEpKSnxuLy8vx6BBg1RZFCN6UAdGLSeMPk+1zRkzibNyuFz8PmO+bVRoCPlshEPI5TLjzADv50kIwjpQKuFspRWlNXZoNW73Ion3XQYSpIEcCb4L4A+u+ljUkiZeLjLUgp5UNBpvbh1FvvrYW2jizSmUDx97nUX5E1KCQQt6XqXHipOek24TsSgMsi1Nrc3JzV2X6lPoFb/CEzYNxWUlm/z2zpOC3zol3ArkQKKaX2gi/v3QIpOLGyX75BEDXvEQbluaYKeZAN5oT6XYKfSXU+i5z50PGZrD5x6g4P5/uTxMJZz2iDh60eIPuTF3dCY1IJ1TKJdPylUf1wp/m94eheHlh0aDoEWhnK17/vx5n6ITRuzDOYUqF5oA3nzFWKXa5gA9VkvlwdFik/MRFoVyPQoBCAoAIu2W/ekJHbfMSkKCQce5x04FV+70BJlg0EqePLxzTeUP9jaHi3NvqBCSm6jR0KEnlRST3ifEKReK9+YUGhS1pCnxU+RB0Wg0Pm2RTnOi0C1cmniq1E8GKQqpS6jXaiRD2MkyhQehVh7T16KnL2uY+e/eiTNyOYXu37PdSTjxS5ErMqHkcm1pwhWFwRWZAN5wuE9OoZ+WNCbPPpIVRv6jlrcfhNOrkO8UBkIqfFxjcwj25dNldT6iXt4plK4453oUhrDPRhvFe8qNN94IwH2QGD9+PEwm75fvdDqxe/du9O3bV/0VMiKK2qIwwaCFVgO4iNvJ8JevVN/QH7ZBpxE4CBSuV2GEE4ArZAoKAHdlqFGvhc3hQo3N4Xe4e7j8xYWOUwEIi49qbE5BgrQYuTm9FCXhTL7zRcWgt/r4AhOFnpOKVDUvddDsTgKrwwmTXgdCiCCnkP6u/eUUlvppHM0n0ajz5Na6n5OfUwiAC38GGz4u5RXGSBkNyVwjfJFTWBlakQngPn+Z9FrU2V0qOIX+q4+TjDruWFhZZxd0eJBrR0OhVdXhOoXBTjMBvGK81u5uzm1X0JLmogz3PtBBZua0UlJMelTWOcLKST+tsPIY4IePvfvC4bPVIMQt+Co9VcPltXZBL025ojpvn0LpQpNg+2rWB4rP2BaLO9mVEIKUlBSYzd4P3Gg0ok+fPpgwYYL6K2REFLXDx3SQPf1h56jyrJGBP9Bc6qSUmRSdCmR/TiHgPinbHK6Q5nMGw35P5XF7z4Fdp9UgweA+gVZb/QvSQI6Ekh5k9ERg0mu5sOCFWmjiT2Tze4pWW92isMrqgMOTrpGeaIRO6358lc0hW1ChxCkE6Hdg40QhnWZCKztDzSks89OjEPBtjULxVh6H5koZde59Wq2cQrnG3+5JPgaU19pRUWdHNk/E/nXGfQEm5xRSwVskkc8WDPTYEszFeRIvv7zK6oDdETh83PfiTBRM6Y8WmeFFC5MT9EB5eBXISnsUAt6LTpvTBYfTBb1Oy4WOOzZOxcHiKpRU23C6rE4kCgPkFIrCxw3SKXz//fcBAC1atMD06dNZqLiBoLZTCLgPQJV1jpjPAwt0UM9KoU5hpHMK5QtNAPfVbBnsEQ8f7/eEj9vxrvaTjHrU2W0B+wQGck1SFEwroK/BP4FRt9LuJFxi/oWAXOUx4J5BKxbrNJ/QbNAJHF1C3J+r1PcSjFMIuENsLhfhRohRp5D+t6TaFlSlvr9pJoB8J4NwT7Amgw6oc6iWUyh3MQe43f/yWjv3GweAw2ersPdUBbQa7yhJMdxUkzAnKoUSPjbpdTDqtLA53fsXFc96P+FjjUbDRRjCIcVPcY5S6P6Zq8Ap5P9W6hwuJOu0Xhc3JxlVVgdKqm0oLK9Fxzzv+6uUyUX3tiGyCy7GispDq5avD4I+wj722GMCV+XYsWNYsGABVq9ererCGNHBKwrVC/PGy1STQEImWr0KK/wUmgDybRPUxO50cW0YOjT2Hvy8Fcj+X1upU1jlJ6eQXkQk8UQhP+QWqfdfXmuPuAsbLHKNqyni5tQlIoFn0muh95yQ5E6wnFMYQBSaeQ3Ez1VZYXO6oNV4hYvFbOAKGaSS8uXwN80E8M1to3DjwkI8wdIwaLhOIdeSxo/g8lYge/f7T7adAAAMaNtIViRQwVtSbYPVEfq+Gew0EwpfkNOcQn/hY7VQknscCK+THXj/MOl9C6lo5XGb7BSuWOW0yLGVLTTx/NtFvBe5NocL56s9ojAOnMKgv+XrrrsOS5YsAQCUlZWhV69emDt3Lq677jq8+eabqi+QEVnoiVhNp1CpkKhvAgkZThRGuiUNFz6WXgfNe4lk4c7Rc9WwOV1IMuq4cCDAnz2szCmUc01SFIWPhZXHgLvVBU1wj8RUk8LyWvSe9SMe+GiH6s8dDv7yTAFevp3nM+Emg3gqid2hS/8XZ1QUZgbhFNLK49zUBEE4MZRiE3/TTABekZEnt43C5WeF7BSqM9VESUufFFErJpvDhRXbTwIAbut1kezj0hINnCsezgxkf6Mn/cG1kKq1c6MQ/YWP1SLQPhuIKquD+14aK6g+5hdS1dnc4vdvThQmc8JSfLFTIXPuSDDoOPFMtymurAMhblEdyZxwtQj6W96xYwf69+8PAPj888+Rm5uLY8eOYcmSJXj11VdVXyAjstBS/CSV+hQC3hNWrOeByf2wKdF2CuXCx9GYavInL3TMzz/jJtQEDB/7/yxTZPLD+Hh7FAr3RW9eofrv//cT5aizu7BmfzGKK8PL31ITf+FjwNeNl+r3583jlHZdSngtbPxhNng/f3GPQgq9kAhKFNb4dyr5Ezj4+0244WO1nEIlgsubY+beds2fZ3Cuyj267sr22bKP02g0XM7kmTCKTWjYMmhR6Pm9UjcX8N+nUC2UVM37o8jjEqYk6BXnUfKnmtTZnTh23tNUPCeZE5aFIlHo74JA3MCafn/ZqaG364kmQX/LNTU1SElx5xytXr0aN954I7RaLfr06cOaV8ch3Oxjg4rh4yDHo9UXgcLHjTw5hZHvU+g/N8lM589GUBTSyuN2orwgxeFjmRwbCr29xuaEQ+ZkLB5xR5EataYW/BPuT/vPqv78ocJVH8tcKIgbi0sVjaT4mX9MCAk6p7DG5vCpPKY0TQ++2CRQoQnNbQO877PO7uQeF1ZOIcLvU+gdc+cvp1D4HSzb6g4d39y9aUDnjb6/UBtY/7DvDL7Y6XYluzRNC+qx9MKMurmA/5Y0asGFj0M8d9CRdIHG2/Hh9yo8fLYaLuL+3TVKNnFtbeTDx77HO/GFAJdPGAehYyAEUdi6dWt8+eWXOHHiBL7//nsMHToUAFBcXIzU1PATTRnRpdZGT8SRCB/HtijkesEFcAor6xwRzTnz134EAMyecFckw8e08rhDY2FLiSSjMEwpR8D2HDyhJycwpXIKAX4IW/33z59WsGb/GdWfP1TKA7jH4mkfUgLPX8V3RZ2DC8lKNY7mw+8VKesUUlEYglMoV2jCf216wUBDqSa9NuAIMzlMKjiFTj+N7/nwG1ifKKnBLwfdFx639mwW8DVotXIobWn+LKzAw8t3ghDgjj4X4aqOwfWBoOKMfkcAYNBGwykMr9CEVh43VlB5TOHnbNPK4zbZydBoNNx+Lh515y8yksK1pXFv42+aSSwS9Lf8zDPPYPr06WjRogV69+6N/Px8AG7XsFu3bqovkBE5CCGc0DCrmlNID+TBncSrrQ78+vc5WSdJbQLlwVnMBu7q+Hx1ZPIK6+xO2DwtH+RyChM5pzByIpurPM4RikLvRBH/32WgULx7zBbNtZEOZ3I91USikIrEWntkncJfDp4LK6lfTbyjD6U/T3H4WCoU7K83JHWAkow6v/0nAV742O7knMAmPuHj4HsVegtN5EWhWNhyoWMFI8zk4HIKVSjgAJQXmny27QQIAfq1zkRzBa1bQm1gfbbSiv9bvA01Nif6tc7Es9deEtTjAe/+RQuYdFpNWHOilaJ0Rroc1ClU0qOQwh91x+UT5rhbBVFRWFReJ5jQ5e/ckcrLxwS8x5gG6xSOHj0ax48fx7Zt21BQUMDdPnjwYMyfP1/VxTEiS53dxU30SIpA9XGwTuG8Hw5g7Dub8eWu06qtxR+B8uDceT3uH/LJkpqIrIEKJK1G/jvgwhu2yIjlijo7dzIXt5VQmh8aKAcO4I26k9kvqmzSTiE9aEfGKfSKmBqbE5sP+47wjCRnK6347dA5n9uVh4/dn0kZ5xR6t0+RqHyl0IucjOTAie9c+NjqwCnajkYFp/Ccp91Kpp81JInGHIZbZALwcgrDGBtJP1NTgJnC9NhSWmPHp9s8BSY95QtM+ITSwLrO7sQ/lm7HqbJatMxKwhtjuodUIELXXea52IhG6Jj/uqFWHxcGUXlM4ecU0nY0rbPdF8c5KSZoNe6WWOeqvWF8f+cOcQPrcCbw1Ach+cG5ubno1q0btDw7uVevXmjfvr1qC2NEHn5I0BzALQiG5BDn1R4443ar9hdWqLYWfwRyCgFvc9kDvAHpauJta2GQvRLnTsoRcMoAb7VdbmqCTwg7UeGVu5J+aIEqkOXCx0qLXUKB5mu1ynI7N2v3F6v+Gv54fMVujFm0GZ97KlIpgSbEiKuPaU4hPxTrbe8h7xRmBCgyAbxRhBqbE6dK3RdH4pxCKhLPVNYpEluEEK6Aq1GyfBNqcTWqGqKQOoXhiEJv6on/0DsVCOv/OouiijqkJxow9BJlodxgG1gTQvDkF3uw/VgpUhP0eOeuHrIpKYEQh4+jUXkMhF9oQtNBlFQeU+TCx4C7J2h2Cq1Adj+3w+niit4kC01EDawbfPiY0XCghQtmg07V0ECofQppvlCwkxFCRYmQaesJpx48Uym7TTiUBwgTAl5RWBehQpMTHhe0eWaiz31JnEsUqE+h/5xC9310v5B2Aajr5Vt97BUlakII4ZyFMb3d7s2a/Wd85pxGCkIIth0rBQDM/+GAQKQEqkgX9ymUyin0J8JLAlT+8qGf/9kqK5cmIM4pzEo2wqTXghDf/CspKq0Obp52Iz/zcsXHEq/rEvqMXeoUBprn7Y/KAG2kKKkid/zGy5r6dRb5BNvA+t0NR/DFzlPQaTV4Y2x3XNxIelqKEpJEojAaPQoB3/06WLic1xCcwoo6O46edx8LafgY8OYn0grkQKkDXPVx3QUSPmY0HKq5EXfquYSA9yozWKeQtgQJpgFuOCjpM0avGA9ESBQGChMC3vBxpCaaHPccCOn8Uj5cmDLMljSAf+cKUFJ9rO77r6h1cDNPb7qsKYx6LU6U1HLOaaQpqqjjHMFTZbVcU2NCSMDm1UncXGD5nEJ/hSbBOIX086efi8Vs8Gn3odFoggoh09BxsknvN6cxWVRQU6SGU+gRZeGJQmWTQsSi8fZegQtMKLk8p1DJhcrSTe7uH09c3R6Xt8lS/DpSeJ1CGj6OslMYQk6h+yIvdKfwz8IKOF0EySa9QMCJG1jT7z7BoJX8XPjVx4SQCyN8zGgYcNNMVKw8BkJrXm11OLkDEM1bijQVCvqMeZ3C4IWC3enC89/swydbj8uvQUEunjd8HCFRWOJHFCpMBVAy8ktp+FgsOCI1/7iwwi1e0hMNSE8yIr9VJgBgTZRCyLTim/La2oOosztRbfM2a5YPH3u/F0IIL6eQ7xRSl8rXmQ3OKXS/Fu1BKHYJKVyvQgUXdeeq3K/vzyUEfC8waTQhnHFhtCl0OKKQazjv52JOfH+P5ulcrpoSqPCttTsVtWihn+ngDuFPnOdEoefiwd+IOzUJ1FvTHxW1Du6cFowAoxclu0+WA3CnDPGLmKjrSJ3CigBREX5OYXmtndvPssNwt6MJE4UXMDQkmKhij0JAfmapP87yQiTnqqxRGTvGCRk/B3aaU3i+2obzQfYrXLW7EO/9egQvrPpTdpsKBWIq0uFjThRKhI8Tudw1+de2O11cE3T/TqH/QhMup1BUcON1xdR9/9wVvKdScUgHdzPhtX9GRxT+6ekNOeySHDRJM+NMhRVLNx3jLhQMOg0SDNKHaH5YtdLqgEOivUyKkpzCIMLHFHGRCaVpEE4h/b1nBSh0EVejquMUqlFootQp9H4f/iaYSGE26jin8UyAvEKbw8V9RnJ9H4MhmSuQiW74OIX3fQebxkHH26UnGoLqpkHDxzQaRKNDFFrJXChyCuW+e2/1sYPbX9MTDQGr/GMFJgovYKjzorZTmBxCYYA4b6ZQYXJ1qCjtM5Zk0nMnuwNBuoUf/HYUgFv4yYncQOPMgMiHj2lOYTM/4WN/3yU/KTxZUaGJTEsa2fBxZJxCcX7aIM+EiW3HSjjnLZL85WkD1KVpGiYPbg0AePOnQ9y+n5pgkG27kswLs1GBlyhqL+MvFFcShCgUn2CbyPSAo2JRSU4wLTLJ8lNkAgjFLyEk7GkmAN8pDP33xOXQmvwLsOxUE9ITDchJNWFE58ZBvw51RAM1sKb7q1bj/wJTKfQYHs0Rd4DXfXOR4I93XI/CINrRAIDZqOVeExDmEwJAnmd/p/t1oLQjrmG51c4dY8K5iIk2TBRewNAfnZrtaAD+gVz5j1o83zPSeYVK+4wBvBBysfK8wt9PlGHXiTLu32dlksWVhY9pnz71RaHV4USh50TrP3ws/9r0IGk26PyePAJVFnoLTaKTU8jveQcATdMT0T43BS4CrD8Q+ekm/IbhN17WFC0yE3G+2oZX1xwE4D/PlB9WlZpmAvhvBCz3GCkSRccHceUxpWm6e/85WRq4fRNXeRwgfMwXtuW1ds7dCycUR3MK1XAKAzXQTjDoUDDlCnzz0OUh9YLNUdjAmqbepCUaVSkaFP8GDfrohI8TDFroPOsPNq+Qm2YSRONqwLfzRhtRiN/rFFJR6L/IiF99TItMGsdJ5THAROEFDT3Jqtm4GlCeh8ZHPHc2mH5noUB/2MYAfcYA75VjMMUmizceFfxbroJQSaEJ10crAk7hqdJaEOIWXpkSrpF3moj8d+nNr/J/glTekkb4fSRFaPax1yn0ihw6j3ZNhEPIVocTh866nef2uakw6LSYMqQtAK8gTfGzT3hHSXrHvoldP29hj68zWyrzGCnE4WPZnMIgRt15w8fKnMJqqzAUp7SCVwo1cgoDtQzik5OawLU1CZYcbtSdf1HoFfnhu4SAr+MfLadQo9GE3KswVKdQHNZtnS12Ct3PV1xphd3pChg+tvCqj7kRd0wUMuIBGo5LUlsU0rFYdm/CfCDETmGk29J4CyMCu6R0yofS8PG5Kiu+/b0QgFfsyTuFgfMazRHsU8gvMpEKVXpTAeQFWaDEa+9z0bCK9CxeWuEsdinMCoRpKHidQq8wGezJK/zpr+KITtY5VFwNh4sgJUHPuQjXds0T5DP52zelnELxuDq/LWm48HFgESF2UuRyCunthWV1AX/3SsPH/Ip1tUJxauQUciJMgagOB9rAOpAopOFjJc6vEsTRo2iJQiBwlwI5vJXHQTqFvPOf2aDz2b8zk4ww6tztls5U1AVMHeBXHxd5itlY+JgRF9BwnTlC4WMgcCsTCnUKqSsR6fAxv2l0IPi9CpUkPy/fchw2pwtdm6Whd8sMAO4eb1KUK8gpTOSaq6ovUk74qTwG+IUm8onfSpPu/VUW1tqdXE6P2KXgX2SoibjQBAAubZaO9EQDKuoc2O7pIRgJ9nuKTDrkpnJiXKfVYNrQttw2fsPHCd6UArpviV0/+n1YHS6BAHI4Xdx+l5EUOAyrtNAkJzUBeq0GDhfxcf7FnA22+tjmUKXyGFAnp7BMwYg+NchV2MA6mGpyJYh/y9GaaAKEIQpp+DhIp5C/f7fOTvYJv2u1Gm6fKyyvC1xoYvbmRR4qrgYQP+1oACYKL2io86S2U2jSa6H3/LCUujs0kbpLUwuA2HIKL26UDI3GHXKjbR/ksDtdWLrJ3YJmfN/m3ElP1ilUMFXFGz6OrFMoBXUMCJEXZUr6Pbrvly98oHmGWo2vM5UY4oScQEgVLei0Ggxq56lCjmBrGjprun1jYf7SsEtycUmee9SgP/eYH2KnqRZigcJ3XPmfeZlHEGo0/oWn97W8z2PUaWXdPR3v5Bko/eOc0upjXh4qV3kcYiiWoopTyIkwdcK1cjTyvFe5i0qKV6Sqsx5xsVc0nUJxw2+leMPHoecUiiuPKfQ5T5fV8ua8S3/WJr2Wq9Y+4MlDj5dpJgAThRc0XEsalUWhRqMJev4xzbnrdlE6gMg7hZVW5U6h2ajjRFOgySar/ziDooo6ZCUbcU3nxoFFYW3gnEJ+n0K1p20cOy/fjgZwHzBpVFmu2KRSQb9HwH+LlCpeOxpxGDsShSZ1dm8unth5utITQo5kv8I/PaMcxbOmNRoNXryxC/JbZWJ096ayjzfpdZx7c8JT2CF2CvU6LXfC47uzXLjZbOCS+v1h0mu5faBxWoLfQoamCvIKCSGcyAmYU2j0XkioNS5MjZxCtcO1clDRfD7Axaja4WyDTsuJZ/rvaJEcoCBNCn7jarmcVzn4OYWtc6RFIdfAuqwu4PFOo9FwkR/uGMOcQkY84G1erW74GOD3F1N2Ij/rCTd1a5YGwN093qUwHzEUlIY8KbQiLVCxyWJPG5rbe10Ek17HJZjLO4WBcwoTPKKIkPBOZFIc99OOBnCHThIN/nP6yhUIW4DXTFniYE8Fp9ihAPgtadQThTQcZzbofNziK9o2gkbjnuBxLsjelEr5S8YpBIDOTS1YNrEPLvNcIMlBPyv6HUoJAqm8wmAFhEbj3QfkQseUJmm0AlleFFZaHZxLF0z1cbFK48LCrT52uUhQhTrhkOkRzYF6pJZGQKTyj43R6lPIf92KIApNSqptsDpc0GiCz98TOoXSzcVpRXNhea2ic4c48sNEYYSYPXs2NBoNpkyZwt1GCMHMmTORl5cHs9mMgQMH4o8//hA8zmq14qGHHkJWVhaSkpIwatQonDx5UrBNaWkpxo0bB4vFAovFgnHjxqGsrEywzfHjx3HttdciKSkJWVlZmDx5Mmy2yPczixQ1ERpzB/iO4fKH3eniwrJdmqZBo3EfsM9VR+aEDAQvCtvSCmQ/I9D2na7AlqMl0Gs1GNu7OQDvSU8q/EMIUVTFmMg7aKlZgUwICZhTCHgvGuTyQ5WOTONyCqXCxzKVx/zb1OxTyCWlWxJ8nMnUBANXiS0ugFKD81VWzhmnRUyhQC+8TnLhY999SGrUXTAj7ig07ziQC0MrkP2JQnqBlBJgxB3gFb51dhf3nDlhToYwhekUVtY5uEIacXGP2mR6nMJqm9NvQ/9QvtNA8C/Q6iOnMJjwMf09ZyWbOCdYKfxCk7YyTiGtaBY6hX6mN/EukI16bcT3EzWJG1G4detWvP322+jSpYvg9jlz5mDevHl47bXXsHXrVuTm5uKqq65CZaXX0ZkyZQpWrlyJ5cuXY8OGDaiqqsLIkSPhdHp/ZGPGjMGuXbtQUFCAgoIC7Nq1C+PGjePudzqdGDFiBKqrq7FhwwYsX74cK1aswLRp0yL/5iME5xSqXGgC+A6y9wd1Y/RaDbJTTFzO0OkIjrtTWjFL4RebyLHE04ZmWKdcLiRJReE5Caewhj/OzE+hiV7nzVGRy+s7cq4aO44HVxhRUm1Dtc0Jjca/AxSoArmE5jMFcE2oALc5XD5J/nIj7gDvxB27k4SVB8bnTIDJGJmeAozzEbgwoS5h88xESWdUKfSzop+JlCDw9irkhY9DKEqgF46BnMKmChpYc/mEAVxCQHiRcOScO2m/vquPqSuXZNSF1RpHCSkmPffbP18tb0B4+xSqJz6SBaIwtsPHNN0olH6A9H0mGLRcr00xUk6hv3x0/n25qb4XnrFMXIjCqqoqjB07FosWLUJ6ujekQgjBggULMGPGDNx4443o1KkTFi9ejJqaGnz88ccAgPLycrz77ruYO3cuhgwZgm7dumHp0qXYs2cPfvzxRwDAn3/+iYKCArzzzjvIz89Hfn4+Fi1ahG+//RZ//fUXAGD16tXYt28fli5dim7dumHIkCGYO3cuFi1ahIqKiuh/KCoQSacwmKkm1I1plGKCVqvh3IZI5hXSVjCKw8dcr8Iqyby+shobvtx1CgAwvm8L7nZ+TqH4cVSY6rUan+IKMXTcmZwwu/O9zbjlrY0BqxT50LBjbmqCX8eG7h9yAr9UYXsTfpsL8QGfupBSIol/Ja+WU8p3CqXIVJjLFQp/0tBxbuguIeD7WUmJvFSJ4h76fUn1pZRDsSjknEL5BtY0KhCoyARwh3rFOYD1XX2sdqWvPzQaDW9flL9AkZp9HS58Uaivh0KTYKqPA/2e/dEyKwkT+rfEzGsvkc2x9TqFtYoK6/iRn3gKHQNxIgofeOABjBgxAkOGDBHcfuTIERQVFWHo0KHcbSaTCQMGDMBvv/0GANi+fTvsdrtgm7y8PHTq1InbZuPGjbBYLOjduze3TZ8+fWCxWATbdOrUCXl5edw2w4YNg9Vqxfbt22XXbrVaUVFRIfiLFbxOYQTCx7zmuoGgrk22R0DREFUkG1grCQHwubhRMrQad/6cVH7g59tPos7uQofGqejR3HvhQk98Nl4bEAoVphaz/DgzCjfVREIUOZwunCiphcNFsPdUuaL3AwTOJ6RwzaNlvkul0zF0Wg1XWEBfmyI34g5wn8SpW6K0xVEgzgQoWqDrDDWn8Gyl/Pzu/TJFJsEi/qykBIFUe4/zIRQlXJJngU6rwWXN0/xuR50Wd1N06Zxgmj8cKJ+QkiwKY4YbIg03pzBaRSYUJRco3l6VkRGFxhgPH58OsXE14BbeM0Z09Dubmp6TSmvs3GftN6eQF/mJp8pjIA5E4fLly7Fjxw7Mnj3b576ioiIAQE5OjuD2nJwc7r6ioiIYjUaBwyi1TXZ2ts/zZ2dnC7YRv056ejqMRiO3jRSzZ8/m8hQtFguaNWsW6C1HjUiGjxODyCmk+VXZnisq8azJSBBMSxrAXaHWPDMJgG8Ta0IIPt12AgAwpvdFAoFn0utkG1h7exQqq4AGpMPHNHQEAAf95DyKUZJPCPDyQ+VyCoNwKTo1cQshsXj1Fz4GeA28VRKFgdpXcCdiPyE7OfYXVaDfS2vxf4u3ydyvjlOYIvqspEKHUm2AQsk/mzO6C7bOGILWMon4lMZpCdBq3K6eXHGV1ykMXhRmp/ivflZCuNXHJdXK0iXUgqYyyF2gOJwurmBNrZY0gLBfaH00rw6m0KQwxBF3SklN0HOt22yepvZKC01yw8yBjTYxLQpPnDiBhx9+GEuXLkVCgvyXLXZZCCEBnRfxNlLbh7KNmCeeeALl5eXc34kTJ/yuK5pEI3wclCj0OAdN0yIfPg7WKQS8PazEFci7T5bjwJkqmPRajOqa5/M4ubY03rnHgYUpDS9LiSIqyoDg5jMH6lFISQzwXQZT+di5ibsP5R6RKKziqo+l98UkldvSFHlSFuTy0zinUEbY+GPppmOwOVzY8Pc57BTleTpdhNt/2jcO1yn0flZy+W10ikyFIKcweFGj02oUiX6DTsu5NSdkQshKp5lQ+I5ouEUmgFcUhu8URqd4INAFSrB9J5UiKDQJsngjHPz1M5Uj1BF3StFoNGgsSp3wGz7mfQ/xNM0EiHFRuH37dhQXF6N79+7Q6/XQ6/VYv349Xn31Vej1es65Ezt1xcXF3H25ubmw2WwoLS31u82ZM2d8Xv/s2bOCbcSvU1paCrvd7uMg8jGZTEhNTRX8xQqR6lMIBFdoUsyFj6lTqHyGaqgE6xQCvGITkfD6bLtb6A/vlCt5UG6ULF2B7J0ZHPhA7p1q4iuKSngni4MKR/EBykWhP0FWa3Oizu4+uSoRGZ04UShMo6j2Ez4G+MJUJVEYyClMCs0prLU58dWu09y/3//1qOD+o+erYXW4YDboAn7ugeB/VnKffYpE0r7SHNBQaRqgApleHCkNH/MdUTVmyHLVxyGOMVSaLqEWWQHa0lCRmppgUDX3LyWuCk0i6xQCwmOFSa/1W+XMP69ESqhGipgWhYMHD8aePXuwa9cu7q9Hjx4YO3Ysdu3ahVatWiE3Nxc//PAD9xibzYb169ejb9++AIDu3bvDYDAItiksLMTevXu5bfLz81FeXo4tW7Zw22zevBnl5eWCbfbu3YvCwkJum9WrV8NkMqF79+4R/RwiASEENXb53nDhEopTSF2AvKg4hcqmcPDhF5tQ6uxOfO0RATd3l04NyE4N4BSGGT7mi8K/i6sU93c8UeL+fAPmFPr5LmnSvVGnVTQZh06sOXCmUpBzx4WPZVIZElUMHzuc3tCmXBJ4oBOxHP/bW4jKOgd3cfDdnkJB8c/+QvcFRdvcFEWNo/3BD6vKuXj++hQqGXEXCnR/OlGillPo3a+yw5xmAgidwlCawZdGacQdhbtAkckppOFstXsm1ldOYbCFJlVWB2cgtMySbimjBvzxeYHOG/xjOn+2ejygvhpQkZSUFHTq1ElwW1JSEjIzM7nbp0yZglmzZqFNmzZo06YNZs2ahcTERIwZMwYAYLFYcO+992LatGnIzMxERkYGpk+fjs6dO3OFKx06dMDw4cMxYcIE/Pe//wUATJw4ESNHjkS7du0AAEOHDkXHjh0xbtw4/Oc//0FJSQmmT5+OCRMmxJT7pxSrw8W1QzFHpNCE5hQGdnbonFQqnmj1cWmNHTU2R0RyHisUTuHgQ53CA54ZyBqNBt//UYSKOgeapJnR9+JMycdxTqFPTiF1KxWIQoO8W8cXhbV2J06V1QYUejaHi0vODuwUyovCUq5oIXCxDOAWYVnJRpyrsuHPwgpugg3tXSiee0xRc6rJuSobXMRd9Z0pI0xoyC7QWEMxn2x1u8b39GuJX/8+hy1HS7B00zFMH+Y+jnhnHoeXTwgIT9pyBQaSOYU1wecUBkOzdCoKpS/qgqk+BoBkfn6Wik4h4M4PC7atTKSdVjF0Hz0n41rT71PtXnhJ9VR9HGyhCW3xlJNqimgzcX6PzkARJv4xnYWPo8xjjz2GKVOmYNKkSejRowdOnTqF1atXIyXFe9CdP38+rr/+etxyyy3o168fEhMT8c0330Cn8x4MPvroI3Tu3BlDhw7F0KFD0aVLF3z44Yfc/TqdDqtWrUJCQgL69euHW265Bddffz1efvnlqL5fteCHIRMDtEMJhWDCx3TuMXUBUhMMXOgiEm6hw+nixEUworBVoyTotBpU1jm4NX++3d0E/abuTWUT4GVzCrnwsYKcQo8okqpoLRWdLJTkFZ4qqwUhbrEZ6OTMFQ35EaRKXRONRiOZVxgofMxVQKvgFNL8o+wUk6xbxzmF1b6thOQ4eq4am4+UQKMBbu7RFHf3awEA+HjLce57+7NQnSITQPhZZcgIAnGfwjq7k9v3IzW3lwsfl/k6hYSQoMPHyTynUI32HvywXyjFJiWcCIt29bG0ax2JxtVAPRaa8C5klEQ96IVWuNX8gWjMC00HOm/wj+lquNvRJKadQil++uknwb81Gg1mzpyJmTNnyj4mISEBCxcuxMKFC2W3ycjIwNKlS/2+9kUXXYRvv/02mOXGLLSS1KjXRuQqUGn42OF0cQe7bF4SeV6aGX+dqcSpsrqAFY/BwheqwYSPTXodmmcm4vDZahw4UwknIdjw9zkAwM1+5tTKTTWpUDDNhOLPKRPnvR08U4Ur28vnuQLCfMJADp+/npOhjNfq3MSCdX+dxZ6TvqIwUPWxGjmFgdrRAN4TcZ3dhWqbU3ZdfGgF+hVtGiEvzYzsFBOapJlxqqwWX+86jVt6NvOewMIsMgGEn5VcTqG4JQ0V8QadRtF7CgVv+Nj3gq6izsFVb4ZUfaxGoQnveBdKsUkkegL6I4s2Updxrb2NqxtG+JgvuKpsjoDHR5qSITUyUk2CCR/TPMKLMhKDnrBS38TXahmqQZ1CJXlgoaDUKTxf7Q7laTXe1guAN2E4Ek4hPUEmGPwnC0vRljcDecX2kyAEyG+V6TdcS0WheGRaMIUmZoP8VBEqzGgem7hljhRKexQC3pZFUj0nvaE05SekThJOYZWf2ceA1ymUm+gSDEoa3SYa9VzIXkleocPp4lzjW3u6c0v1Oi3uzHePO3zv1yOoqLNzxRfqO4XKcgr5zm6kpiw05TWfd4qcHppPqGTEHYX/PtVwCjUaTVhtaWgOX7RGl2Vw1cfSrrW3JZS666mviSYmvY4T7kqKTbxOYWRFYTBOYV6aGUvu6YV37uoR0TVFAiYKL1CqI9ijEOAVJwQI91GhlJUsDOXRvMJINLAOdsQdH24G8plKrur45h7yLiEg7xTSPoVK2kiYje6fqlT4mJ7oe7bIAAD8rSB8rLRHIcCrPpYsNKHtTZR/ll2apgFw91Sk78frFEoLhWD6XgaiKMCIO0pWivK8wvUHzqK40oqMJCOGdPC6tLf1vAhmgw77iyrx4cZjANxiVA1XR5BTGLDQxP09BdNTMlRyUhNg0GngcBHus6YEGzoGhO9TrfysUEfdEUKi7hTSQhO7k3D9CPmURqBxNVB/4WNAukBKCkIIr+9nZMPHQqcw8HnziraNuDz0eIKJwguUSPYoBHghxwDhPlpkIj7YR7ICOdgRd3zaeH7k3+0pwomSWiSb9Li6U2O/j6GFJiXVNth5bTAquEKTwOtI9JNTR0Vhn1ZuUXiwWHoUH5/j56koDNwuwSvw/TiFQZyQclJNyEo2weki2OeZ7hGwJY2KhSZFCkdicfOPFTiFtMDkhm5NBO6zJdGAGy9rAgB4dc1BAEA7lRyNZEVOoVusV1kdIITwKo8jJ2h0/9/emcdHWZ57/zd7MpPJhOyEJOwCaRL2IqgkLgRUEA61KGharAexBZSqtfVUX3mPtaAvClb6nva1dalUUSsg6jkpKJCKbIKJhEV2ZcnGko1sk5m53z9m7nuemcxMZiazZq7v55PPBzJ35nky92Se6/ld1/W75DIxDs+5A9nXzmPA/nvqNcqAOSVo/Bx119Jpgsmmfoaq+zhOpRCvgav3YrACfQelMMQpUHtdoWcD6+qmDrR0mKCUyzA0LXidx4C1hIV7U/ojKEQLFBTGKMH0KJQ+b0/pY3uTieNFYkAQvQr9Ma7m8Ds//nvNGt2/x+7tflo1lDYVVFoX5Fv6mFvSdFc2eGA2NjcJKoUMbUZzj6+bqClM8UIp9KDS+TMH1tpsYr2r53WFYsydW0uawDWa8KCwR6XQy6kml1o6sf3begD21LEU3nDCU5WBUjSkVi3ulFp+Ybcwa0B91Y8Rd/7Ax905exVyM3CuwnoDDxACOS7M31F3jbbUcbxK4XX6OxB4MrC2W+QEMX3cS/skf4/dk1LIR0YOS08ISe0erxX0R1CIFigojFG4R2Gw0sf8j7rTZIHJg0mssx0NJ7hBoe/G1ZzBqToR4AHA3W68CaXIJTN/pR3IvjSaCJ9CV0qhLTBL18dhcKp1FJ+ncXeMMZ/Sx54CMn9qCgGgwJZCrrrYBJPZIgImd80P/CbDlVrpKzyl2ZOprLdK4cavL8BkYRibm+QyXTQsXY+bhqeK/48KUEG8Nz6FWrVClGVc6zQFrVPVmZxk10ohL6FI80EpHJvbDyk6NUryPDdP+YK/NYVXQ5w65ti9Cl0ohUEy09aFqaYQ8D59HKiRkd7Cy5oCOTkm0qCgMEbhd+zBsqWQfqB46hi1j7hznT6uberoVqzeW/gx/flgVyvlGGQLvIam6TAuN8mrn7PXFVoDEouFCW8+bz5g3KVP24wmh4kiw22NMKc8NJs0tnWJY3NFxxP2TnL3c5d9rWcStjQXmhyet0dLml7WFDLGhFLYU9OCN16FjDGROr5ngvsbhJ/dMFj8O1BKobTmy11AIJPJJKpLl1/Krj/w95XzqLvLLb7NPQasN4gHnr4NT84YGbDz87emMFiegD0hvApdvBcbgrSnYU0fa+xlD544VhO4bn5vWHTTENxZ0L/HkqFopu9qoIRHvFVL/EWtlEOtkMNotuCa0QSDmw9RMeLOSSnkHnImi9XXLBCmtZzTl6wBk781KGNyknCq/hrunZjrdQens1dhS6cJvOzPm1REnEgfOwZmPB2oVlonigzPSACqus9nlsJTxxmJGq9SYFrJNBWzhTk0BPmrPPHJJifrW4R6pFa47wbnjSa9rSlsbOsS6lBP9iZi/rEHpfDA9w04c7kVWrUCM13MveYUXZeGkrwMdJosGJYemNqneJUC0/Iy0G40e1TeEjRKNLV3obnDhAZb+jMl6EGh61F3oqbQh0YTwPXc+d6g9rOm0F9lvLfwUoarTuljs4WJ2ceBVgoVchm0agXajGaoQmhJA7gez+iKUCuFPxycjB8OTg7JscIFBYUxCm/g6KnYvjfoNAoY2yweO0bFiDsnpVCpkCMzMQ4XG9txsbEtoEHhmV4Ghb+5fSSKR6T5dLfoPNWEp441SrlvgZlTUMQv8sk2ixGuFHpKH3s785gjVe/ajCZRi8kYkyhPviknGYlxSNNrcKmlEwe+u2o7jvvXIVCNJvxmKFmn7vF1t5sGu1cKdx631hJO/0GmR98/uVyG//eTwNpTyGQyvObFc0ovsKGqKeRWRxfcpI99UQqDgSulkDGGN3d/B51aiXkuakOB4HkC9oS7Uobm9i5xcxkM9VKnUaLNaHbwdgwFzl3zrujoMuPs5VYAwe88jiUofRyj2L3agjes2xuvQm5J40q1sdcVdnR7zF8YYzh9yfpBMjRd59dzpCZoMLMwy6fZtc5KoS9NJoD7oOhKKy8DsF6kuGXOKQ8dyL54FALWCyj/XaXHbzOaxUXVH+WEp5D3nLkCwPMMbl7X2JPFUU94mzoGHKeauIMbNAeqTjAYSOuzgj3ijsNH3dU0dzgEXpf9sKQJBq5qCo9UN+N/f3wUT22q6nbzxbEr46FOH9tKGZyUQn5Tpo9TBqXub0xOErRqhSiZCRWi5MHDteNU/TWYLQxJWhUyAmBqTlihoDBGqeFKYVLwlMKeppqYLUwoB65GAQXDwPpKqxFN7V2QyYBBKaH7oBMG1kIp9K3ZxV36mF/keTpwYIq1EeZap0kE/s740mQCWBUpV93kXHXSKOWiO9oXRFB42hoUelLahHl1gJRCb5Rnb5TCC7aaOW9qM8OF3ZamS3SvBquWmJOaoEacSg7G7GMFGWM+zz0OFrz7WBoUfvi11XzcbGFuG9xCPeKOw2sKnZXCRj8mCvnCn+4fj/2/vS3kyq59PKP7oFCaOg6WEXssQkFhDGK2MNTZgpOsECiF7oLCq61GmC0MMpnri0QwDKxP29Kq2f3iQ2op4awU+mJcDdiVMuegiE9X4EqhtBHGXQr5e5tH4UAv7Gg49kYP+/Eb2+y1TP58KPOgkAfKnoJC+5i73imFPFD2Kii0peyuthnddtDzmrmcCA4K+eva3G4KWU2cTCazN5vY1NTmdt9H3AULng7lQWGX2YItldXicXdBYaiNqzmpOtc3KA1Of/+BRiEP3jhETyR4UVPI7WgodRxYKCiMQS61dIqGgWCmcezpY9fqDrejSdFpXM5fDoaBtUgdB9no1BnnqSa+po/jJUqhNC3sKp3FU8gn3TSb+FpTCEi8CiXp2952shbYmk3sx/CgFAao0aTOh/Rxsk4NmQxgzF5LJqWjyywCWt5YEYnw9HFNU0dIjZdzbK8J70Dm7319nPcj7oKFRuVYU1h+/JKDB6C7G9FQ1WQ6I5RCN+njQHsUhhu9F6VHXCmM5NKNaISCwhik2pbOydBrfKqL85UEcSF3/Ydd78a4mpMVBK/C3nYe+0u6c02hDx6FgF0pM1uYUFsA+0UiWTI3ehhvNnFhS2M0WUQ6z9uaQsC16mtXnfy7IGUkxjnsvSdFgiulJgvz2UZESo0P6WOFXCZq71zVFfL3pU6tCLlFiS/wVNy5q9YbIp06NMbLdgNra1B42Q+PwmBhVwqtNxkbK6ypY/5xeLGxzeXPNQbJKLoneClDg5Nq3RiiGtFQ402jiX3mMSmFgYSCwhikxta40T8puOoGv5C7u9uzj7hzfZEIhoF1uIJCni5rM5rR2mkSM0wT471LzUgnz0hTyK4Cs+E2y5OTLmYgVze2w8KAOJXcp4uzK/PoqwEwzeUpZMC77mOgd1NNfFEKAc91hTx1nN1PG9E1TfwCy8sGQqVy2Q2sra8TvyEKd+oYcFQKm9q68NlRaxf5nYVWW6FqN81tgXjP+4O1RKO7as3LR0Jd4xhsemo0udTSicvXjJDJEJXzhSMZCgpjEK4UBdOOBui50cSuFLo+D64UtnSYRLq1t9iDwtB20+k0Suhsgc2llk6hFHpbU6hSyMUkFWmziasULv+QdDUDWZo69iWQsc+yliiFAaivkqaQPaWPVQq5UHd6M9XE1/c+ryt05VV4XnRxR27qGLAHhXzvQ1UP51YpDHPnMQCoFfZGk0+qqmE0WzAyU49ptqkprtLHjDG7Uhji9LE71dpe4xi5SrU/iOYoNzWFXCUclKLrccwo4RsUFMYgvNg+K8hKoX1mruuLeJ2bEXecBI1SBE01AbCl6egyC3VnaIAMhH1BWlfoa/oYsKeQ21yoddIL/aBULRRyGVo6TGK2NKfyfCMA3xsjXKm+/Ni9USmkSmFPBe3cwNp51N+G/efw5/LTPR6rzWhXaL2do+tpqolUKYxkpCMngdCpXDliqon1dRLG1WHuPAYclcKNX18EAMwdN8BjdqLVaBalG+FI17pSrQPxNxiJ9DTm7niITatjCQoKYxCulnibQvOXnnwK7R6F7s/DXlfousbHF85ebgVjVnUu2BMdXCHtQPa10QSQNJu4TB/bfx+NUoFBts5iaQr5ZF0L/rjjFAAIRcRbXDV6cNWkN55tjunjHoJCVfebjOrGdjy1qQor/+dbnPJg2A3YPQq1aoUoZO+JVDdWIIDUjibSlULH/QmVUsgV1EstnejoMkdU+pirzifqWnDw+wbIZcDsMQPEXtY2d3TrOG+QWjCFQZ3i+yZVraUOAH0JfiPT3mV22fl/rIYHhVRPGGgoKIxBeL1MVhA9CgEv0sctnhtNgMAaWEtTx+GoARNehc0dEp9C7wMq6bg5wDo/2Z0ZMZ9scsLWbGI0WbD8vUp0miyYel0a7nEzscEdOhfm0YHoxExPjBM1pT0GhZru5/BRZbWY6HCkusnjz0s9Cr3d/1SvagojOyh0VmBDFRQa4lXi2Bca2oXaGgnpY64U7jp1GQBw4/A065SdBA3UCjnMFibeL5xAlEv0BrtXoUQp9HOiUKQjnevtSlQQTSbUeRxwKCiMQWpDMM0EsAcS7pVCW/rYY1AYOAPr0/XhsaPhiFF31zqFT6G3jSYAEM+9Am1qXVN7F2wOI90Cs+Fison1jnrNZydwpLoZ/bQq/J+7C30OirWuuo8DdJGcMjQVADCwh25ondOoP8YYNtm6RgHrRApP+DLNhJPiYapJNBhXA91na4cqqLF6FdptaS5HyIg7wK4U8huKH40bAMA6jpAb+jvXFYY7VSu8Cl3UFPY1pVClkCPOFrg7p5BNZotwVhhFSmHAoaAwxjCZLaLrN5jTTADP5tWM2aeZZHiRPuZGpb1BKIVhqCcEXKePvW00AYB424ckD4o8jbganmG3pdl/9ir+ZKu5Wzm3wOPr7Q4ekEnNqwPVifncnHx8tOQG3DQ81eO6eKcO6KM1zUIJBXpWCvmNhU9Boc51TWG70Sy+F8nG1UD3oDCUAYR0BrJIH0eEUmhP/+rUCpTkZYr/c0N/bt3FEeUSYVLlnJVCxpjoRA6XehlMEjR8Eo/j9ePs5VYYzRbo1IqIV+mjEQoKY4y6lk5YGKBSyJCqC+6Hsz193L3RpKGtC11m6226J+VgytBUyGTAjuOX8FHlxV6dT7jsaDi8y1rafexb+pjX2Vg/JD1Np+C2NMfrWvDY+5VgDLh7fDZm5Pf369x1Tqlb6wUpMEphgkaJ0TlJPaqX9qkq1nPYXGF9Pwy2TXA5Ut3sdt4zAFRdtAaNvqSc+IXYufuY17jqNUqf1N5w0L2mMHRBjV0pbBfBTESkjyU3UXcU9HeoEXQ3SSlcdjQc56an5g4TzLZUQST7ZPpLoptmk2O2JpPrMvWQB9FnN1ahoDDG4DOPMxLjgv4HxZsTXKWP62yp42SdWgynd0VBtgHLbhkOAPiPjVU4c8lzM4E7LBaGM2KaSWjtaDj8YljT1CHULl8aTbjhME8fX/EQFA5O1UEus36gXmhoR3a/eDw7K8/vc3fuJG81mkVQH6qLJE9htxnNMFsYPrKNJXu85Doo5TI0tnWh2s28Z8YYvj7XCAAYm9vP62OmuajjAuzee9k+WvuEA+eawpAqhTYV9Uh1k+jcDUeTlzO8phAA5o7LdnjMXQdyuFO13B6Jp4/5TaFOrRCznPsSYtRdp6MdGY23Cy4UFMYYwo4myPWEgF1dcmU27E2TCefRW4fj+iHJaDWaseSdCnR0+e5TV9vcgfYuM5RymU+TPAIJDwrPXm4V33NO7XlC61RTZx9x1/0iFadSYFCKNfiVy4A194zpphj5gtap0YQfO04Vuk5MrQiKTdh9+jLqWzqRpFWhJC8Tw2zK6JGLrlPI1U0duNTSCaVchvwsg8s1ruDqTHuX2eF9HC2dx4B1HrZGcuOVEkJLGP639s15675Ewog7fh6ANQCcNDjZ4TGuFF5wVgp7Odaxtzg3PXGlvq/Z0XDc2dLQeLvgQkFhjCHMe4NcTwhIawq7B3GiycSL+i6FXIZX7h2LFJ0ax2qa8Z+fHPX5XHjqeGCKtlv9XajgQSH3i9OpFT6di3NQ2NNFakxOEgDg4aKhmDgo2eUab7GbV9uO7SEgDRZaiS3OJpu33MzC/lAr5fiBLdBz12xSca4BADCqf6JPQaxWrRAF71K1MFo6jznSG4JQKl389eHZgkhIHQPATcPT8PPioXjl3jHdMibZbpTChjCNuOPwUgb+txfubuhgI6aaOAWFdo9CUgqDAQWFMQa3o/Fm9mtvSbCpS0azpdu8Wq4UZnh5kchIjMOae8ZAJgPe2XcOW76p9ulcTteHt54QsH54SzONvqSOAXv6mFvSXL3m+aLwzMw8vPnARDxRMsKPs3WEB6T84h4O1YTXFF6+1omyI7UAgH8ba039/SDLeoFwHxQ2AgDG5Sb5dEyZTOZyqkm0GFdzuOoik/nW3NRbnIPmSOg8Bqzdrb+eMRITXNwscaWwurHdoUbVUw1vKOAK77VOEzq6zGgQI+76Xj0h4LrR5MtTl0WwPoKMq4MCBYUxBlcKQ5M+tisyzh3IdqXQ+4vE1OvSsKR4GADgqQ8POaRhe+I0rycMU+cxYL0QSZU1X5pMAHtg1uakFLq7SPXTqVE8Ij0gtaPOpQDhuEByha/scC3ajGYMTNGKII8HhUfddCB/bVMKfakn5LjyKjxvSx/nRI1SaN0/Q7wKyhAq5fo4lUPQ4su87XDBb5g7uixClQPsSmG40rV6jVJY6VxpNfZ5pZC/Z691WIPg//z4KO77yz4AwOQhKSG9uYklKCiMMewehcFXCpUKey2Tc7NJXQ9zj92x/Lbh+OEga33hoxsqYLG47zaVEu7OY440feZr16ovNYWBxt597Jg+DuUFktvi8FF1c8YMEE0eebagsLqpQ7wunE6TGUcuWhXEsT4qhYBd3YpmpZCn4sIxnk1q2RMJI+56QqNUiFpnaQo5lH9vrpDJZJJRd50iKOxrHoUcHhR+c6ERM1/dhde/PAsAWDApF3/56YRwnlqfhoLCGKM6RHOPOQkuplAAEF6JGT4ohYA10PzD/LFI0Chx6EITth2r8+rnpNNMwolDUOijUtgtfRyAiSLewgMyo8mCLrMlICPufEXr1EU7Z+wA8W99nEqM9nNOIR+tbobRbEGyTo1cP5qMxIXY9nq3dprEaz8gypTCcKhKfNwdEDk1hT3hbEsjtWAKZ7pWOv/4amvfHHHH4deOL05exqn6a0jTa/DGwon4/b8V9Dj9iPAfCgpjCKPJItSOUNQUAq4NrC0WhnM2S480H5VCwHruP50yEADwh89PevSmA4CWji6hTA6JIKXQ1/SH1mmiSU/p40DCjw1Ym03CUVOolTSIjM1NEv6EHN5sctgphczrCcd64YXoCmevQq4SJsYpoyaFxRtNwtE5m+2gFEZJUOjUbNLeZRYNYuFM10rrWxv76Ig7jjT4vj0/E/9cPhU3j0wP4xnFBhQUxhB1zR1gzGpRESqvMB4UXpN0IO89ewWXr3VCH6cUtWC+8uCNQ6BVK3CkuhmfH6v3uJb7E6bpNWG/iDumj307l3i1baKJMK8O3TQDtVIu6plajaaw1BTqJIHpXIlKyMlz02xScb4RgH+pY8Duq8drCrkdTbisjfwhvOlju1IYNUGhky0NV4bVCrnDzUmokarWfT19PC0vE3ePz8Yr947B/71vXJ+tnYw0KCiMIWok9YShMtxNEKbHdqVwo7ATyfLbsyxZp0bpZJtauN2zWhgpqWPAsdA+0QePQgCIV9kmmhjN6DSZRZ1mqC70WslehmO6A78YK+Uy3FmY1e1xeweys1Lof5MJYA9kuGlwtNnRAEBhtlVFHW2zKQol2ZLgOVrSx862NLxcop9OFVazcvFevNYpbgr7alCYrFNj9Y9HY7akdpgIPpSYjyGER2GIUseAVCm0BjBtRhP+p6oGgH0Ivb8sumkI/rb7exy60ISdJy7h5hGuUwuR0mQC9E4plHYf8wuCQi4L2Zg1nVqJxrYutBrNYel8HJObhKLr0vDDwckuj8vTx2cvt6K10wSdRon6lg5caGiHTGYPjHxFNJq0OCqF0dJkAlindhRdlyZS4aHEQSmMkqDQuaYw3CPuOFLVuqGPp4+J8EBKYQzBPQr7h8COhuM8r3brkTq0Gs3ITdZi/ED/lBtOaoIG91+fCwB45TP3auHpej7eLsKCQh8bTbglS0eX2eEiFaq7aG4x1NZpEkXuoSy61ygVeOtnP8SSm4e5fDxNr0G6XgPGgG9rrSnkSls94XXper8nuthTdlalUIy4iyKlEEBYAkLAGjzr45RIjFNGhSUNYG/Eq7bdSEdKqpbfDF2Kge5jIjxQUBhDhEcptKUcbc0RH359AQAwd1xgUgKLpg6BRilH5flG7Dp12eUaoRSG0aOQk96bmkLJ7GO7UhfC7l9bgN/SaRJF7pFW5+NsYt3bekLAHhRebTXCbGG40Mg9CqNHKQwncSoFNv3iBmz8xQ0e55xHErzRpLGtC62d4amhdQVXrc9fbQv57HEiNoiOv1AiIIiawhDZ0QCO6ePapg58aQvc5o7N9vRjXpOuj8OCSe7VQpPZgu+ucKUwEmoK7QG5r2nfeIlP4ZVwNHrYAvz65g6YLJF5QRLj7my+hPZ6wiS/n5PXbFoY0NhmtNcUJkeXUhhOhqUniPnU0YA+TiVqfi82tkuMq8ObquU3KOeuWm9MQjl7nIgNKCiMIezTTEKnFCZILGk+qrwICwMmDuqH3JTAqSwPFw2FWinHge8bsOfMFYfHzje0o8vMEKeSh2SKS08kxiuFWuLvRJP2LnNYu395UGSdCxxZFyShFNY0wWS24NAFa9OJv00mgNUbk8+7/e5Km2g6iKaaQsJ3Btj292JDe8RMD+ElANyzP1xG2kTfhYLCGKImHDWFEqXQnjoOjErIyUiMw70TcwAAL289gfNX24RieMaWOh6cmhCQcW+9RSaTYe7YAfhBVqLPyonW1n1ssjDU2cYEhlKp43vJR7xFmkoIAPkDrErhidprOFrTjDajGXqNEsN6WU/K03bf2NLR/bQqccND9E14CvmCg1IYGY0mnHCfD9H3oE+1GKGjy55yDEf38YHvGnDuahvUSjnuKOgf8OM8XDQU7+4/hwPfN+CmF3cgI1GDCQOT0WGb/hEJqWPOqh8V+vVzcWr7PRy3ygiV3yRgVyq5UhiJXY/Z/eKRGKdEc4cJ7x84D8Bqw9LbG4KUBDVO1gOVtqCQVMK+T7akA9muzIf3PR+nUiBBo7TbUUVYTS8R/US0Urhy5UpMnDgRer0e6enpmDNnDo4fP+6whjGGFStWICsrC/Hx8SguLsaRI0cc1nR2dmLZsmVITU2FTqfDXXfdhQsXLjisaWhoQGlpKQwGAwwGA0pLS9HY2Oiw5ty5c5g1axZ0Oh1SU1PxyCOPwGh0nLMaqXBlKU4lD2ldDPcp5DUw0/IygmIgnZUUjz/cOxajsw1QymWoa+7Ep1U1+Pxbq7F1JHQe9xa1Qg6FLbi5KAKz0F0UuDImjh2BKoVMJhMm1ptsfpi9qSfk8LTdNxcaAURf5zHhO1lJ1pvn6sb2sMz6dkeKZH50uGscib5HRAeF5eXlWLJkCfbu3Ytt27bBZDKhpKQEra2tYs2LL76Il19+GevWrcNXX32FzMxMTJs2DS0tLWLN8uXLsWnTJmzYsAG7du3CtWvXMHPmTJjN9ikbCxYsQGVlJcrKylBWVobKykqUlpaKx81mM+688060trZi165d2LBhAz788EM8/vjjoXkxegm3o8kyxIfUCFQ6hQLovTehJ24v6I+Plt6IqhXTseGh6/Gr6SNw84g0FGYbHObkRisymUx0IHOlMJRKAe8+DkeTiy/wZhPe8R6IoDDV9rt+f4V7FFJQ2NcZkGSrKWxst3fbR0JQKPm7i8QbMyK6iej0cVlZmcP/33jjDaSnp+PgwYOYOnUqGGNYu3Ytfvvb32Lu3LkAgLfeegsZGRl45513sHjxYjQ1NeGvf/0r3n77bdx2220AgPXr1yMnJwefffYZpk+fjmPHjqGsrAx79+7FpEmTAACvvfYaJk+ejOPHj2PEiBHYunUrjh49ivPnzyMryzpN4aWXXsLChQvx/PPPIzHRv3FtoULY0SSFLnUMwKHuKjVBjZuGpwX9mPFqBa4fkoLrh6QE/VihJl6twLVOk1B+w9F9zInUC5Lz6MQxOb3zwwS6e/xF04g7wj+kBtaN7ZFzIyR9L4ZjljXRt4lopdCZpiZrJ2FycjIA4OzZs6itrUVJSYlYo9FoUFRUhN27dwMADh48iK6uLoc1WVlZyM/PF2v27NkDg8EgAkIAuP7662EwGBzW5Ofni4AQAKZPn47Ozk4cPHjQ7Tl3dnaiubnZ4SsccDuazMTQKhw6SVB41+gBUCmi6i0XcfC6Pt59GI5GE04kXCBdwZVCABiUog3IeTrP7CWlsO/DG01qmzvQ0WUBEBnp2tQEqVIY/vMh+hZRc4VmjOGxxx7DjTfeiPz8fABAbW0tACAjI8NhbUZGhnistrYWarUa/fr187gmPb37iLT09HSHNc7H6devH9RqtVjjipUrV4o6RYPBgJycHF9+bb9wNdlD2NGEWCmUqktzg5g6jhXinSxgQps+dlIKIzQoHJqmg8Zm+9MbKxop0jougBpNYoHUBLV4HwGASiGLiI7zFJ39BiVSb8yI6CVqgsKlS5fi0KFDePfdd7s95lwjxxjrsW7OeY2r9f6sceapp55CU1OT+Dp//rzH8+oNjDG8f+A85r+2F0aTxeGxcNjRAMDAFB0mDuqHmYX9u6X1CN9xNqoNh08hJ1JVCqVCjpH9re+1QNQTAo7qDGBXkYi+i0wmc9jnpBCOlPSEY6MJBYVEYImKoHDZsmXYsmULduzYgexsu8ddZmYmAHRT6urr64Wql5mZCaPRiIaGBo9r6urquh330qVLDmucj9PQ0ICurq5uCqIUjUaDxMREh69g0dDWhec/PYa9Z67ipW2OXdrVYppJaJVClUKODx6egnULxkXEB2q0I1UKQ20e3S19HMEXpP+4fSTuvz4Xd48PjCemVJ1J0am7vRZE32SApEwgUt7v0prCSDknou8Q0UEhYwxLly7Fxo0bsX37dgwePNjh8cGDByMzMxPbtm0T3zMajSgvL8eUKVMAAOPHj4dKpXJYU1NTg8OHD4s1kydPRlNTE/bv3y/W7Nu3D01NTQ5rDh8+jJqaGrFm69at0Gg0GD9+fOB/eT9I1qnxgs0D78/lZ7DrpH0WcDjmHhOBR5rCDXWjR7dGkwhOXU0akoLfzSkQHdO9RarOUD1h7CCdghQJ9YSAvRMeiJxzIvoOER0ULlmyBOvXr8c777wDvV6P2tpa1NbWor3dGuDIZDIsX74cv//977Fp0yYcPnwYCxcuhFarxYIFCwAABoMBDz74IB5//HF8/vnnqKiowP3334+CggLRjTxq1CjMmDEDixYtwt69e7F3714sWrQIM2fOxIgRIwAAJSUlyMvLQ2lpKSoqKvD555/jiSeewKJFiyKq83hGfqaYBfzL9ytx5Von2o1mMZor1OljIrDES4Ic5zq3YOMcYMVSPVOCRinqy6ieMHZwUAoj5P3uoBRGyDkRfYeIDgr/67/+C01NTSguLkb//v3F13vvvSfWPPnkk1i+fDl+8YtfYMKECbh48SK2bt0KvV4v1qxZswZz5szBvHnzcMMNN0Cr1eLjjz+GQmFXPv7+97+joKAAJSUlKCkpQWFhId5++23xuEKhwKeffoq4uDjccMMNmDdvHubMmYPVq1eH5sXwgWfuzMPw9ARcaunEr/5xCNU2lVCnVogh70R0Eq+y/8mGWil0LrKPJZVCJpOJDmRSCmMH55rCSCArKQ5xKjnS9ZpuzV8E0VsiOkJw1UXrjEwmw4oVK7BixQq3a+Li4vDqq6/i1VdfdbsmOTkZ69ev93is3NxcfPLJJz2eU7iJVyvwh/ljMfuPX2L7t/VQKay1fP2TQmtcTQQeqVoXapVAK0kf69QKaJSxdUFKSVDjYmM7ssmjMGZwVAoj4yZIH6fCpl/cAK1aQZ/nRMCJaKWQ8J9R/RPxH7ePBAD884i1iYbqCaMfafdxyINCSVNLJNcTBotbRqZDH6fElKF9zxSdcI1UKYwks/ZR/RMxMCVy5rkTfQcKCvswP50yCLeOtPsvUlAY/Ui7j0MdFCoVcsTZ0texWMu0/Lbr8M3/KukTc7QJ78g0xME2bjyigkKCCBYUFPZhZDIZXry7EOl6ay0Un+VJRC/h7D4G7F6FsXqBlMspXRdLqBRyZCRab6b7RUj6mCCCCQWFfZyUBA1eXzgR8yZk456JwZ+mQgSXuDAqhYC9rjAWlUIiNrlnYg5GZOgxPjc53KdCEEEnohtNiMCQP8CAF+8eHe7TIAKANow1hYBdKYylzmMitll+23VYftt14T4NgggJpBQSRBThGBSGPjDjkzxokgJBEETfg4JCgogiHNPHGg8rgwMPCmOx+5ggCKKvQ+ljgogiuE+hTAYY4kOvFJZePxAAMC3P/bxvgiAIIjqhoJAgogg+fzhZq4YiDJ2w0/IyKCAkCILoo1BQSBBRxKjMRMz/YQ4Ks5PCfSoEQRBEH4OCQoKIIuRyGVbOLQz3aRAEQRB9EGo0IQiCIAiCICgoJAiCIAiCICgoJAiCIAiCIEBBIUEQBEEQBAEKCgmCIAiCIAhQUEgQBEEQBEGAgkKCIAiCIAgCFBQSBEEQBEEQoKCQIAiCIAiCAAWFBEEQBEEQBCgoJAiCIAiCIECzj0MOYwwA0NzcHOYzIQiCIAiir8PjDR5/eIKCwhDT0tICAMjJyQnzmRAEQRAEESu0tLTAYDB4XCNj3oSORMCwWCyorq6GXq+HTCYL9+lELc3NzcjJycH58+eRmJgY7tMhXEB7FPnQHkU+tEeRT6TvEWMMLS0tyMrKglzuuWqQlMIQI5fLkZ2dHe7T6DMkJiZG5B8hYYf2KPKhPYp8aI8in0jeo54UQg41mhAEQRAEQRAUFBIEQRAEQRAUFBJRikajwbPPPguNRhPuUyHcQHsU+dAeRT60R5FPX9ojajQhCIIgCIIgSCkkCIIgCIIgKCgkCIIgCIIgQEEhQRAEQRAEAQoKCYIgCIIgCFBQSISRf/3rX5g1axaysrIgk8mwefNmh8fr6uqwcOFCZGVlQavVYsaMGTh58qTL52KM4fbbb3f5PA0NDSgtLYXBYIDBYEBpaSkaGxuD80v1MQK1R3v27MEtt9wCnU6HpKQkFBcXo729XTxOe+Q/gdij2tpalJaWIjMzEzqdDuPGjcM//vEPhzW0R/6xcuVKTJw4EXq9Hunp6ZgzZw6OHz/usIYxhhUrViArKwvx8fEoLi7GkSNHHNZ0dnZi2bJlSE1NhU6nw1133YULFy44rKE98o9A7NHVq1exbNkyjBgxAlqtFrm5uXjkkUfQ1NTk8DyRvkcUFBJho7W1FaNHj8a6deu6PcYYw5w5c3DmzBl89NFHqKiowMCBA3HbbbehtbW12/q1a9e6HRu4YMECVFZWoqysDGVlZaisrERpaWnAf5++SCD2aM+ePZgxYwZKSkqwf/9+fPXVV1i6dKnDuCXaI/8JxB6Vlpbi+PHj2LJlC6qqqjB37lzcc889qKioEGtoj/yjvLwcS5Yswd69e7Ft2zaYTCaUlJQ4vP4vvvgiXn75Zaxbtw5fffUVMjMzMW3aNLS0tIg1y5cvx6ZNm7Bhwwbs2rUL165dw8yZM2E2m8Ua2iP/CMQeVVdXo7q6GqtXr0ZVVRXefPNNlJWV4cEHH3Q4VsTvESOICAAA27Rpk/j/8ePHGQB2+PBh8T2TycSSk5PZa6+95vCzlZWVLDs7m9XU1HR7nqNHjzIAbO/eveJ7e/bsYQDYt99+G7Tfpy/i7x5NmjSJPf30026fl/YocPi7Rzqdjv3tb39zeK7k5GT2l7/8hTFGexRI6uvrGQBWXl7OGGPMYrGwzMxMtmrVKrGmo6ODGQwG9qc//YkxxlhjYyNTqVRsw4YNYs3FixeZXC5nZWVljDHao0Dizx654v3332dqtZp1dXUxxqJjj0gpJCKSzs5OAEBcXJz4nkKhgFqtxq5du8T32traMH/+fKxbtw6ZmZndnmfPnj0wGAyYNGmS+N71118Pg8GA3bt3B/E36Pt4s0f19fXYt28f0tPTMWXKFGRkZKCoqMhhD2mPgoe3f0c33ngj3nvvPVy9ehUWiwUbNmxAZ2cniouLAdAeBRKeTkxOTgYAnD17FrW1tSgpKRFrNBoNioqKxGt78OBBdHV1OazJyspCfn6+WEN7FDj82SN3z5OYmAilUgkgOvaIgkIiIhk5ciQGDhyIp556Cg0NDTAajVi1ahVqa2tRU1Mj1v3yl7/ElClTMHv2bJfPU1tbi/T09G7fT09PR21tbdDOPxbwZo/OnDkDAFixYgUWLVqEsrIyjBs3Drfeequoa6M9Ch7e/h299957MJlMSElJgUajweLFi7Fp0yYMHToUAO1RoGCM4bHHHsONN96I/Px8ABCvX0ZGhsPajIwM8VhtbS3UajX69evncQ3tUe/xd4+cuXLlCp577jksXrxYfC8a9oiCQiIiUalU+PDDD3HixAkkJydDq9Vi586duP3226FQKAAAW7Zswfbt27F27VqPz+Wq1pAx5rYGkfAOb/bIYrEAABYvXowHHngAY8eOxZo1azBixAi8/vrr4rloj4KDN3sEAE8//TQaGhrw2Wef4cCBA3jsscfw4x//GFVVVWIN7VHvWbp0KQ4dOoR3332322POr6M3r63zGtqj3hOIPWpubsadd96JvLw8PPvssx6fw9PzhAMKComIZfz48aisrERjYyNqampQVlaGK1euYPDgwQCA7du34/Tp00hKSoJSqRQS/Y9+9COR9srMzERdXV2357506VK3uz7Cd3rao/79+wMA8vLyHH5u1KhROHfuHADao2DT0x6dPn0a69atw+uvv45bb70Vo0ePxrPPPosJEybgj3/8IwDao0CwbNkybNmyBTt27EB2drb4Pi97cVaK6uvrxWubmZkJo9GIhoYGj2toj3pHb/aI09LSghkzZiAhIQGbNm2CSqVyeJ5I3yMKComIx2AwIC0tDSdPnsSBAwdEqvg3v/kNDh06hMrKSvEFAGvWrMEbb7wBAJg8eTKampqwf/9+8Xz79u1DU1MTpkyZEvLfpa/ibo8GDRqErKysbvYOJ06cwMCBAwHQHoUKd3vU1tYGAA7d4IC19pArvbRH/sMYw9KlS7Fx40Zs375dBOOcwYMHIzMzE9u2bRPfMxqNKC8vF6/t+PHjoVKpHNbU1NTg8OHDYg3tkf8EYo8Aq0JYUlICtVqNLVu2ONTyAlGyR+HpbyEIxlpaWlhFRQWrqKhgANjLL7/MKioq2Pfff88Ys3Zu7dixg50+fZpt3ryZDRw4kM2dO9fjc8Kp+5IxxmbMmMEKCwvZnj172J49e1hBQQGbOXNmsH6tPkUg9mjNmjUsMTGRffDBB+zkyZPs6aefZnFxcezUqVNiDe2R//R2j4xGIxs2bBi76aab2L59+9ipU6fY6tWrmUwmY59++qlYR3vkHz//+c+ZwWBgO3fuZDU1NeKrra1NrFm1ahUzGAxs48aNrKqqis2fP5/179+fNTc3izUPP/wwy87OZp999hn7+uuv2S233MJGjx7NTCaTWEN75B+B2KPm5mY2adIkVlBQwE6dOuXwPNG0RxQUEmFjx44dDEC3r5/+9KeMMcZeeeUVlp2dzVQqFcvNzWVPP/006+zs9PicroLCK1eusPvuu4/p9Xqm1+vZfffdxxoaGoLzS/UxArVHK1euZNnZ2Uyr1bLJkyezL774wuFx2iP/CcQenThxgs2dO5elp6czrVbLCgsLu1nU0B75h6u9AcDeeOMNscZisbBnn32WZWZmMo1Gw6ZOncqqqqocnqe9vZ0tXbqUJScns/j4eDZz5kx27tw5hzW0R/4RiD1y93cIgJ09e1asi/Q9kjHGWDCVSIIgCIIgCCLyoZpCgiAIgiAIgoJCgiAIgiAIgoJCgiAIgiAIAhQUEgRBEARBEKCgkCAIgiAIggAFhQRBEARBEAQoKCQIgiAIgiBAQSFBEARBEAQBCgoJgiAIgiAIUFBIEAQREoqLi7F8+fJwnwZBEIRbKCgkCIKIIoxGY7hPQcAYg8lkCvdpEAQRICgoJAiCcOLjjz9GUlISLBYLAKCyshIymQy/+tWvxJrFixdj/vz5AIArV65g/vz5yM7OhlarRUFBAd59912xduHChSgvL8crr7wCmUwGmUyG7777DgBw9OhR3HHHHUhISEBGRgZKS0tx+fJl8bPFxcVYunQpHnvsMaSmpmLatGndzvdf//oXVCoVamtrHb7/+OOPY+rUqeL/u3fvxtSpUxEfH4+cnBw88sgjaG1tFY+vX78eEyZMgF6vR2ZmJhYsWID6+nrx+M6dOyGTyfDPf/4TEyZMgEajwRdffOHPS0wQRARCQSFBEIQTU6dORUtLCyoqKgAA5eXlSE1NRXl5uVizc+dOFBUVAQA6Ojowfvx4fPLJJzh8+DAeeughlJaWYt++fQCAV155BZMnT8aiRYtQU1ODmpoa5OTkoKamBkVFRRgzZgwOHDiAsrIy1NXVYd68eQ7n89Zbb0GpVOLLL7/En//8Z5fnO2TIELz99tvieyaTCevXr8cDDzwAAKiqqsL06dMxd+5cHDp0CO+99x527dqFpUuXip8xGo147rnn8M0332Dz5s04e/YsFi5c2O14Tz75JFauXIljx46hsLDQz1eZIIiIgxEEQRDdGDduHFu9ejVjjLE5c+aw559/nqnVatbc3MxqamoYAHbs2DG3P3/HHXewxx9/XPy/qKiIPfroow5rnnnmGVZSUuLwvfPnzzMA7Pjx4+LnxowZ0+P5vvDCC2zUqFHi/5s3b2YJCQns2rVrjDHGSktL2UMPPeTwM1988QWTy+Wsvb3d5XPu37+fAWAtLS2MMcZ27NjBALDNmzf3eD4EQUQfpBQSBEG4oLi4GDt37gRjDF988QVmz56N/Px87Nq1Czt27EBGRgZGjhwJADCbzXj++edRWFiIlJQUJCQkYOvWrTh37pzHYxw8eBA7duxAQkKC+OLPefr0abFuwoQJPZ7vwoULcerUKezduxcA8Prrr2PevHnQ6XTiWG+++abDsaZPnw6LxYKzZ88CACoqKjB79mwMHDgQer0excXFANDt9/DmfAiCiD6U4T4BgiCISKS4uBh//etf8c0330AulyMvLw9FRUUoLy9HQ0ODSB0DwEsvvYQ1a9Zg7dq1KCgogE6nw/Lly3tsCrFYLJg1axZeeOGFbo/1799f/JsHdp5IT0/HrFmz8MYbb2DIkCH47//+b+zcudPhWIsXL8YjjzzS7Wdzc3PR2tqKkpISlJSUYP369UhLS8O5c+cwffr0br+HN+dDEET0QUEhQRCEC3hd4dq1a1FUVASZTIaioiKsXLkSDQ0NePTRR8VariTef//9AKwB2MmTJzFq1CixRq1Ww2w2Oxxj3Lhx+PDDDzFo0CAolb3/OP73f/933HvvvcjOzsbQoUNxww03OBzryJEjGDZsmMufraqqwuXLl7Fq1Srk5OQAAA4cONDrcyIIInqg9DFBEIQLDAYDxowZg/Xr14s06tSpU/H111/jxIkT4nsAMGzYMGzbtg27d+/GsWPHsHjx4m6dwIMGDcK+ffvw3Xff4fLly7BYLFiyZAmuXr2K+fPnY//+/Thz5gy2bt2Kn/3sZ90CSG+YPn06DAYDfve734kGE86vf/1r7NmzB0uWLEFlZSVOnjyJLVu2YNmyZQCsaqFarcarr76KM2fOYMuWLXjuued8PgeCIKIXCgoJgiDccPPNN8NsNosAsF+/fsjLy0NaWpqDCvjMM89g3LhxmD59OoqLi5GZmYk5c+Y4PNcTTzwBhUIhfv7cuXPIysrCl19+CbPZjOnTpyM/Px+PPvooDAYD5HLfP57lcjkWLlwIs9mMn/zkJw6PFRYWory8HCdPnsRNN92EsWPH4plnnhFp6rS0NLz55pv44IMPkJeXh1WrVmH16tU+nwNBENGLjDHGwn0SBEEQRGBYtGgR6urqsGXLlnCfCkEQUQbVFBIEQfQBmpqa8NVXX+Hvf/87Pvroo3CfDkEQUQgFhQRBEH2A2bNnY//+/Vi8eLHLqScEQRA9QeljgiAIgiAIghpNCIIgCIIgCAoKCYIgCIIgCFBQSBAEQRAEQYCCQoIgCIIgCAIUFBIEQRAEQRCgoJAgCIIgCIIABYUEQRAEQRAEKCgkCIIgCIIgAPx/MeJp90Pb47MAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot peak streamflows per water year\n", "fig, ax = plt.subplots(figsize=(7,4))\n", "\n", "skykomish_data.plot(x='water year', y='peak value (cfs)', ax=ax)\n", "ax.set_ylabel('streamflow (cfs)');\n", "ax.set_title('Skykomish River, Annual Peak Streamflow, (Gold Bar, WA)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "## Getting started with our hypothesis\n", "\n", "We are postulating that there was a change in peak flows around 1977. In other words, how likely is it that the mean of peak flows before 1975 comes from the same distribution as the mean of peak flows after 1977?\n", "\n", "To start, let's split the data in two:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Divide the data into the early period (before 1977) and late period (after and including 1977). \n", "\n", "skykomish_before = skykomish_data[ skykomish_data['water year'] < 1977 ]\n", "skykomish_after = skykomish_data[ skykomish_data['water year'] >= 1977 ]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot our two time periods\n", "fig, ax = plt.subplots(figsize=(7,4))\n", "\n", "skykomish_before.plot(x='water year', y='peak value (cfs)', ax=ax, linestyle='-', label='pre-1977')\n", "skykomish_after.plot(x='water year', y='peak value (cfs)', ax=ax, linestyle='--', label='post-1977')\n", "\n", "ax.set_ylabel('streamflow (cfs)');\n", "ax.set_title('Skykomish River, Annual Peak Streamflow, (Gold Bar, WA)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**What does the distribution of streamflows in each period look like?**\n", "\n", "Plot a histogram for each period:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(10,3))\n", "\n", "ax1.hist(skykomish_before['peak value (cfs)'], bins=10)\n", "ax1.set_xlim((1e4,1.4e5))\n", "ax1.set_xlabel('peak value (cfs)')\n", "ax1.set_title('Skykomish River, Annual Peak Streamflow\\nHistogram Before 1975')\n", "\n", "ax2.hist(skykomish_after['peak value (cfs)'], bins=10)\n", "ax2.set_xlim((1e4,1.4e5))\n", "ax2.set_xlabel('peak value (cfs)')\n", "ax2.set_title('Skykomish River, Annual Peak Streamflow\\nHistogram After 1975');\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "## Cumulative distribution functions\n", "\n", "Visually compare the distributions of the data, before and after 1977, with theoretical distributions, and random numbers generated from theoretical distributions." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "### Method 1\n", "# This function requires that the input is a pandas dataframe, with column names, and an integer index\n", "# It returns a copy of the dataframe with an extra column added that has the Cunnane plotting positions\n", "def cunnane_quantile(df, column_name):\n", " '''This function will compute the Cunnane plotting position for the values in a column of a dataframe.\n", " It requres a pandas dataframe, and the column name of interest (a text string) as inputs.\n", " The output is a new dataframe, ranked (sorted) with an extra column with the plotting position.\n", " [Steven Pestana, spestana@uw.edu, Oct. 2020]'''\n", " \n", " # Rank all our values\n", " ranked_df = df.sort_values(by=[column_name]).reset_index()\n", " \n", " # Calculate the Cunnane plotting position\n", " ranked_df['cunnane_plotting_position'] = ((ranked_df.index + 1) - (2/5)) / (ranked_df[column_name].count() + (1/5))\n", " \n", " return ranked_df\n", "\n", "### Method 2\n", "# This function should be able to accept any one-dimensional numpy array or list, of numbers\n", "# It returns two numpy arrays, one of the sorted numbers, the other of the plotting position\n", "def cunnane_quantile_array(numbers):\n", " '''This function also computes the Cunnane plotting position given an array or list of numbers (rather than a pandas dataframe).\n", " It has two outputs, first the sorted numbers, second the Cunnane plotting position for each of those numbers.\n", " [Steven Pestana, spestana@uw.edu, Oct. 2020]'''\n", " \n", " # 1) sort the data, using the numpy sort function (np.sort())\n", " sorted_numbers = np.sort(numbers)\n", " \n", " # length of the list of numbers\n", " n = len(sorted_numbers) \n", " \n", " # make an empty array, of the same length. below we will add the plotting position values to this array\n", " cunnane_plotting_position = np.empty(n)\n", " \n", " # 2) compute the Cunnane plotting position for each number, using a for loop and the enumerate function\n", " for rank, number in enumerate(sorted_numbers):\n", " cunnane_plotting_position[rank] = ( (rank+1) - (2/5) ) / ( n + (1/5) )\n", " \n", " return sorted_numbers, cunnane_plotting_position" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Use the cunnane quantile function for before 1977\n", "skykomish_before_b = cunnane_quantile(skykomish_before, 'peak value (cfs)')\n", "\n", "# Create theoretical normal CDF based on our sample values before 1977\n", "theoretical_cdf_b = stats.norm.cdf(skykomish_before_b['peak value (cfs)'].values,\n", " skykomish_before_b['peak value (cfs)'].mean(),\n", " skykomish_before_b['peak value (cfs)'].std(ddof=1))\n", "\n", "# Generate random numbers from a theoretical normal CDF based on our samples before 1977\n", "random_normal_b = np.random.normal(skykomish_before_b['peak value (cfs)'].mean(),\n", " skykomish_before_b['peak value (cfs)'].std(ddof=1),\n", " size=skykomish_before_b['peak value (cfs)'].count())\n", "\n", "# Compute the Cunnane plotting position for the random numbers\n", "random_sorted_b, random_quantiles_b = cunnane_quantile_array(random_normal_b)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# Use the cunnane quantile function for after 1977\n", "skykomish_after_a = cunnane_quantile(skykomish_after, 'peak value (cfs)')\n", "\n", "# Create theoretical normal CDF based on our sample values before 1977\n", "theoretical_cdf_a = stats.norm.cdf(skykomish_after_a['peak value (cfs)'].values,\n", " skykomish_after_a['peak value (cfs)'].mean(),\n", " skykomish_after_a['peak value (cfs)'].std(ddof=1))\n", "\n", "# Generate random numbers from a theoretical normal CDF based on our samples before 1977\n", "random_normal_a = np.random.normal(skykomish_after_a['peak value (cfs)'].mean(),\n", " skykomish_after_a['peak value (cfs)'].std(ddof=1),\n", " size=skykomish_after_a['peak value (cfs)'].count())\n", "\n", "# Compute the Cunnane plotting position for the random numbers\n", "random_sorted_a, random_quantiles_a = cunnane_quantile_array(random_normal_a)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Skykomish River, Annual Peak Streamflow CDF\\nAfter 1977')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, [ax1, ax2] = plt.subplots(nrows=1, ncols=2, figsize=(12,4))\n", "\n", "# Before 1975\n", "# Empirical CDF\n", "ax1.plot(skykomish_before_b['peak value (cfs)'], skykomish_before_b['cunnane_plotting_position'], color='k', label='Empirical CDF')\n", "# Theorectical Normal CDF\n", "ax1.plot(skykomish_before_b['peak value (cfs)'], theoretical_cdf_b, label='Theoretical Normal CDF')\n", "# Random numbers CDF from a theoretical normal distribution\n", "ax1.plot(random_sorted_b,random_quantiles_b,'-', label='Random Numbers CDF')\n", "# Add legend and labels\n", "ax1.legend()\n", "ax1.set_ylabel('Cumulative Frequency')\n", "ax1.set_xlabel('Peak Flow (cfs)')\n", "ax1.set_title('Skykomish River, Annual Peak Streamflow CDF\\nBefore 1977')\n", "\n", "# After 1975\n", "# Empirical CDF\n", "ax2.plot(skykomish_after_a['peak value (cfs)'], skykomish_after_a['cunnane_plotting_position'], color='k', label='Empirical CDF')\n", "# Theorectical Normal CDF\n", "ax2.plot(skykomish_after_a['peak value (cfs)'], theoretical_cdf_a, label='Theoretical Normal CDF')\n", "# Random numbers CDF from a theoretical normal distribution\n", "ax2.plot(random_sorted_a, random_quantiles_a,'-', label='Random Numbers CDF')\n", "# Add legend and labels\n", "ax2.legend()\n", "ax2.set_ylabel('Cumulative Frequency')\n", "ax2.set_xlabel('Peak Flow (cfs)')\n", "ax2.set_title('Skykomish River, Annual Peak Streamflow CDF\\nAfter 1977')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Does the streamflow data look normally distributed? Maybe try changing the above code to compare the empirical CDFs against theoretical lognormal distributions. (Remember to transform the mean and standard deviations into \"log space\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## Two-Sample Z-Test\n", "\n", "#### Returning to our question: We are postulating (making a hypothesis) that there was a change in the mean flood statistics after 1977, and we want to test whether this is true. Where do we start?\n", "\n", "First we can formally state our null hypothesis, and our alternative hypothesis. We are also told to use a two sample test, and to set $\\alpha$ at 5%.\n", "\n", "Our **null hypothesis** is that the peak flows of the early period ($\\bar{X}_1$) are drawn from the same distribution as the peak flows of the later period ($\\bar{X}_2$) (therefore the distributions means of the two time periods are equal):\n", "\n", "$H_0: \\bar{X}_1 = \\bar{X}_2$\n", "\n", "Our **alternative hypothesis** is that the mean of the distribution for the later period is greater than that of the early period:\n", "\n", "$H_1: \\bar{X}_2 > \\bar{X}_1$\n", "\n", "We can also state these as:\n", "\n", "$H_0: \\bar{X}_1 - \\bar{X}_2 = \\mu_0$\n", "\n", "$H_1: \\bar{X}_1 - \\bar{X}_2 < \\mu_0$\n", "\n", "Where $\\mu_0$ is the hypothesized difference between the population means, and in this case $\\mu_0 = \\mu_1 - \\mu_2 = 0$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that I have written a \"[one-sided](https://en.wikipedia.org/wiki/One-_and_two-tailed_tests)\" test here because we are testing only for a change in one direction (an increase). We think that either the mean flood increased or it didn't change; we do not think the mean flood decreased:\n", "* This might be chosen because we have some physical reason to think it increased (e.g. higher elevations in the watershed now get rainfall where it used to mostly get snow because of our warming climate).\n", "* Or this might be chosen because we have some practical reason for the test to matter in this particular direction (e.g. we will change flood zoning downstream and/or how we operate a reservoir if the mean flood has increased, but won't make a change if it decreased)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### But which test should we use? Is the z-distribution valid?\n", "\n", "We are using the [z-test](https://en.wikipedia.org/wiki/Z-test), which uses the standard normal distribution. From our work above, we know that our data are likely not neccesarily normally distributed. However, the [central limit theorem](https://en.wikipedia.org/wiki/Central_limit_theorem) tells us that, \"*If a sample of n values is extracted at random from a population with mean μ and standard deviation σ, and n > 30, then the means of these samples are approximately normally distributed*\"\n", "\n", "We calculate our z-score as: $\\displaystyle Z = \\frac{ (\\bar{X}_2 - \\bar{X}_1) - \\mu _{0} } { s_{1,2} }$\n", "\n", "Where $s_{1,2}$ is the \"pooled standard deviation\", $s_1$, $s_2$ and $n_1$, $n_2$ are the two standard deviations and sample sizes respectively.\n", "\n", "$s_{1,2} = \\displaystyle\\sqrt{ \\displaystyle\\frac{s^2_1}{n_1} + \\displaystyle\\frac{s^2_2}{n_2} }$\n", "\n", "#### Remember, the means are normally distributed even if the data themselves are not normally distributed." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So what does the \"**Null Distribution** look like?\n", "\n", "And what do the \"rejection regions\" look like?" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,7))\n", "\n", "# Create a null pdf\n", "x = np.linspace(-4, 4, num=160)\n", "ax.plot(x, stats.norm.pdf(x, 0, 1), label='Normal Distribution PDF')\n", "\n", "# Plot the null cdf\n", "ax.plot(x, stats.norm.cdf(x, 0, 1), linestyle='--', label='Normal Distribution CDF')\n", "\n", "# Plot the region that z_test would have to fall in in order for us to reject the null hypothesis\n", "conf = 0.95\n", "z_alpha = stats.norm.ppf(conf)\n", "shade = np.linspace(z_alpha, 4, 10)\n", "ax.fill_between(shade, stats.norm.pdf(shade, 0, 1) , color='k', alpha=0.5, label='reject region\\nfor alpha={}'.format(np.round(1-conf,2)))\n", "# Plot a line at z_alpha\n", "plt.axvline(z_alpha, color='black', label='$z_{a}$')\n", "# Plot a line at our 95% confidence\n", "plt.axhline(conf, color='black', linestyle='--', label='Confidence = {}%'.format(conf*100))\n", "\n", "\n", "# Add labels\n", "ax.set_ylim((0,1))\n", "plt.xlabel('Z', fontsize=15)\n", "plt.ylabel('PDF', fontsize=15)\n", "ax.legend(loc='center left', fontsize=14);" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "48\n", "46\n" ] } ], "source": [ "# Check that we have a large enough sample size (n>30)\n", "\n", "n = len(skykomish_before['peak value (cfs)'])\n", "print(n)\n", "\n", "m = len(skykomish_after['peak value (cfs)'])\n", "print(m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Both are larger than 30, so we can go ahead and calculate the z-score for our test:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# We want our alpha to be 0.05\n", "alpha = 0.05\n", "# This gives us a confidence of 0.95\n", "conf = 1 - alpha" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, determine which value in the z-distribution corresponds to our 0.95 confidence in the CDF" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "z_alpha = 1.6448536269514722\n" ] } ], "source": [ "z_alpha = stats.norm.ppf(conf)\n", "print(\"z_alpha = {}\".format(z_alpha)) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the pooled standard deviation, $s_{1,2} = \\displaystyle\\sqrt{ \\displaystyle\\frac{s^2_1}{n_1} + \\displaystyle\\frac{s^2_2}{n_2} }$" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# Compute the pooled standard deviation\n", "pooled_sd = np.sqrt( skykomish_before['peak value (cfs)'].std(ddof=1)**2 / n + skykomish_after['peak value (cfs)'].std(ddof=1)**2 / m )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, compute our z-score as $\\displaystyle Z = \\frac{ (\\bar{X}_2 - \\bar{X}_1) - \\mu _{0} } { s_{1,2} }$" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "z-score = 2.63\n" ] } ], "source": [ "# hypothesizing no change\n", "mu_0 = 0\n", "\n", "# compute z-score\n", "zscore = (skykomish_after['peak value (cfs)'].mean() - skykomish_before['peak value (cfs)'].mean() - mu_0)/pooled_sd\n", "\n", "print(\"z-score = {}\".format( np.round(zscore,2) )) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also compute a p-value from this z-score by looking it up on the standard normal distribution CDF" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p = 0.004\n" ] } ], "source": [ "pvalue = 1 - stats.norm.cdf(zscore)\n", "print(\"p = {}\".format( np.round(pvalue,3) ))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the z-distribution, our z-score test result, and the $z_\\alpha$ that corresponds with our 95% confidence interval." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create z values between -4 and 4 to look at the middle portion of the z-distribution around 0\n", "# Scale our values by the pooled standard deviation (otherwise we'd be in generic z-distribution space)\n", "z = np.linspace(-4, 4, num=160) * pooled_sd\n", "\n", "# Create the plot\n", "plt.figure(figsize=(10,7))\n", "# Plot the z-distribution here\n", "plt.plot(z, stats.norm.pdf(z, 0, pooled_sd), label='Null PDF: ($\\overline{X}_2 - \\overline{X}_1$) = 0')\n", "\n", "# Plot a line at our z-alpha value and shade the rejection region\n", "plt.axvline(z_alpha*pooled_sd, color='black', linestyle='-', label='$z_{a}$')\n", "shade = np.linspace(z_alpha*pooled_sd, np.max(z), 10)\n", "plt.fill_between(shade, stats.norm.pdf(shade, 0, pooled_sd) , color='k', alpha=0.5, label='rejection region\\nfor alpha={}'.format(np.round(1-conf,2)))\n", "\n", "\n", "plt.axvline(zscore*pooled_sd, color='red', linestyle='-', label='z-test')\n", "plt.xlabel('($\\overline{X}_2 - \\overline{X}_1$) [cfs]', fontsize=15)\n", "plt.ylabel('PDF', fontsize=15)\n", "plt.ticklabel_format(axis='x', style='sci', scilimits=(0,0))\n", "plt.ticklabel_format(axis='y', style='sci', scilimits=(0,0))\n", "plt.ylim(0, 9e-5)\n", "plt.legend(loc='best', fontsize=15);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Questions:\n", "\n", "What do these test results mean? \n", "\n", "What does it mean that our z-test value (red line) fell within our \"rejection region\" of the null hypothesis PDF?\n", "\n", "What does our p-value tell us?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "## Test a different hypothesis\n", "\n", "How would the estimate of p change if our **null hypothesis** is now that the difference in the means is equal to 20% of the mean of the before-1977 period, and the alternative hypothesis is that a change more than 20% of the before-1977 period mean has occurred?\n", "\n", "Therefore\n", "\n", "$H_0: \\bar{X}_1 - \\bar{X}_2 = 0.2 \\cdot \\bar{X}_1$\n", "\n", "$H_1: \\bar{X}_1 - \\bar{X}_2 < 0.2 \\cdot \\bar{X}_1$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute our z-score and p-value:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "z-score = 0.81\n", "p = 0.209\n" ] } ], "source": [ "# hypothesizing a 20% change\n", "mu_0 = 0.2 * skykomish_before['peak value (cfs)'].mean()\n", "\n", "# compute z-score\n", "zscore = (skykomish_after['peak value (cfs)'].mean() - skykomish_before['peak value (cfs)'].mean() - mu_0)/pooled_sd\n", "print(\"z-score = {}\".format( np.round(zscore,2) )) \n", "\n", "pvalue = 1 - stats.norm.cdf(zscore)\n", "print(\"p = {}\".format( np.round(pvalue,3) ))" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create z values between -4 and 4 to look at the middle portion of the z-distribution around 0\n", "z = np.linspace(-4, 4, num=160)\n", "# Scale our values by the pooled standard deviation (otherwise we'd be in generic z-distribution space)\n", "z = [i * pooled_sd for i in z]\n", "\n", "# Create the plot\n", "plt.figure(figsize=(10,7))\n", "# Plot the z-distribution here\n", "plt.plot(z, stats.norm.pdf(z, 0, pooled_sd), label='Null PDF: ($\\overline{X}_2 - \\overline{X}_1$) = 0.2*$\\overline{X}_1$')\n", "\n", "# Plot a line at our z-alpha value and shade the rejection region\n", "plt.axvline(z_alpha*pooled_sd, color='black', linestyle='-', label='$z_{a}$')\n", "shade = np.linspace(z_alpha*pooled_sd, np.max(z), 10)\n", "plt.fill_between(shade, stats.norm.pdf(shade, 0, pooled_sd) , color='k', alpha=0.5, label='rejection region\\nfor alpha={}'.format(np.round(1-conf,2)))\n", "\n", "plt.axvline(zscore*pooled_sd, color='red', linestyle='-', label='z-test')\n", "plt.xlabel('($\\overline{X}_2 - \\overline{X}_1$) = 0.2*$\\overline{X}_1$ [cfs]', fontsize=15)\n", "plt.ylabel('PDF', fontsize=15)\n", "plt.ticklabel_format(axis='x', style='sci', scilimits=(0,0))\n", "plt.ticklabel_format(axis='y', style='sci', scilimits=(0,0))\n", "plt.ylim(0, 9e-5)\n", "plt.legend(loc='upper left', fontsize=15);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### So what happened with this second test?\n", "\n", "We created a more stringent test.\n", "\n", "For example, say we will only recommend constructing taller levees along the river if the mean flood (defined by the annual peak flow) increased by more than 20%. While we can report that we are 95% sure that there is a change greater than 0 (our first test); we are **not** 95% sure that the change is greater than 20% of the early period mean." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }