Last active
August 20, 2023 21:11
-
-
Save carlthome/8d311a76a33064b3d46ea9b6b1acb31c to your computer and use it in GitHub Desktop.
Lagrange polynomial interpolation
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"provenance": [], | |
"authorship_tag": "ABX9TyMg3ncEXRJFiMfAKWmxDzE+", | |
"include_colab_link": true | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
}, | |
"language_info": { | |
"name": "python" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/carlthome/8d311a76a33064b3d46ea9b6b1acb31c/lagrange-polynomial-interpolation.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"id": "sSyJfnMlXxzo" | |
}, | |
"outputs": [], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np\n", | |
"import scipy as sp" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"x = np.array([-2, -1, 0, 1, 2, 3])\n", | |
"y = np.array([-4, 4, -2, -3, 3, -5])\n", | |
"plt.plot(x, y);" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 430 | |
}, | |
"id": "2Q7t4JoGYCSX", | |
"outputId": "d90b369b-f96a-4d9f-abe6-9d5d3e39b134" | |
}, | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
], | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAiIAAAGdCAYAAAAvwBgXAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABNb0lEQVR4nO3deXic9Xkv/O8zu5bRvtjabMmyLRthG8sr3i2ZpWFxQgwB0hdIymlSk1MOOW1xet5yetrGOQ1N2hIuIHkbkjYYu0CAQArBllfAtmQb75ZkedFq7dJotMz+vH/MPGPZ2LKWmfk988z3c11zXVjImhthj77z3Pdz/yRZlmUQERERCaATXQARERHFLgYRIiIiEoZBhIiIiIRhECEiIiJhGESIiIhIGAYRIiIiEoZBhIiIiIRhECEiIiJhDKILGI3P50NrayusViskSRJdDhEREY2BLMuw2+3IycmBTjf6NQ9VB5HW1lbk5+eLLoOIiIgmoKmpCXl5eaN+jqqDiNVqBeD/D0lKShJcDREREY1Ff38/8vPzgz/HR6PqIKK0Y5KSkhhEiIiIosxYxio4rEpERETCMIgQERGRMAwiREREJAyDCBEREQnDIEJERETCMIgQERGRMAwiREREJAyDCBEREQnDIEJERETCRCyI/OhHP4IkSXj22Wcj9ZRERESkchEJItXV1Xjttdcwb968SDwdERERRYmwB5GBgQE8/vjj+MUvfoHU1NRwPx0RERFFkbAHkc2bN+MrX/kKKioqbvm5TqcT/f391zwoesmyjO1VjTja0Cu6FCIiUqmwnr67fft2HDt2DNXV1WP6/K1bt+Jv//Zvw1kSRdBn9d14/renkBpvxMEt5bAY9aJLIiIilQnbFZGmpib8+Z//Od544w1YLJYx/Z4tW7bAZrMFH01NTeEqjyJg59k2AEDvkBsfn24TXA0REalR2K6IHD16FB0dHVi4cGHwY16vF/v378fPfvYzOJ1O6PXXvkM2m80wm83hKokiSJZl7DrXEfz1tsON2HhHrsCKiIhIjcIWRMrLy3Hq1KlrPvbUU0+hpKQEf/VXf/WlEELaUtNmR0vfMEwGHbw+GVWXe3C+3Y6Z2VbRpRERkYqELYhYrVaUlpZe87GEhASkp6d/6eOkPZXn2gEAq4ozoNdJ+ORsO9443Ij//cBtgisjIiI14WZVCgulLVMxNxuPLS0AAPz2WDMcbq/IsoiISGXCetfM9fbu3RvJpyNBOuwOHG/qAwCUl2QhI9GMvNQ4NPcO48OTV/D1sjyxBRIRkWrwigiF3J4a/9WQeXnJyEqyQKeT8OgS/1WRbYcbRJZGREQqwyBCIRdsy8zJDn5s06I8GHQSjjX2oaaNi+qIiMiPQYRCyuH24sD5TgBA+Zys4MezrBZsmOsPJtsONwqpjYiI1IdBhELq8wtdcLh9yEm2YO7UpGv+nTK0+u6xFgy5PCLKIyIilWEQoZBS2jLr52RBkqRr/t2KGRkoSIuH3enBhyeuiCiPiIhUhkGEQkaW5eD+kJHzIQqdTgpeFXmjiu0ZIiJiEKEQOt3Sj/Z+J+JNeiwrSr/h53y9LA9GvYQTTX0402qLcIVERKQ2DCIUMruUbaozM2560m5Gohl33zYFAIdWiYiIQYRCqLLm5m2ZkZT2zPvHWzHo5NAqEVEsYxChkLhiG8bpln5IErCuJGvUz11elI6ijAQMOD343YnWCFVIRERqxCBCIVEZuFvmjvwUZCSaR/1cSRq5aZXtGSKiWMYgQiERvFtm7uhtGcVDZXkw6XU41WLDyea+MFZGRERqxiBCkzbk8uCzC90Abj0fokhLMOHe2zm0SkQU6xhEaNIOnO+Cy+NDflocZmYljvn3PRZoz/zuRCvsDne4yiMiIhVjEKFJU9oy5SXZX9qmOpolhWkozkrEkMuL945zaJWIKBYxiNCk+Hwydtf4B1U3jHE+RHH90KosyyGvj4iI1I1BhCbleHMfugZcsJoNWDw9bdy//6GFuTAZdDh3pR/Hm/pCXyAREakagwhNitKWWT07EybD+P84pcSbcN/tUwFwaJWIKBYxiNCkKPtDNozxbpkbUTatfnCyFbZhDq0SEcUSBhGasKaeIdS02aHXSVg7O3PCX6dsWipmZSfC4fbhvS9aQlghERGpHYMITZjSlimbloqUeNOEv44kSXh86TQAHFolIoo1DCI0YZU1k2/LKDbekQuLUYfadjuONfZO+usREVF0YBChCbE73Dh00b9NtXzO6IfcjUVynBH3z8sBALzBoVUiopjBIEITsr+uC26vjKKMBBRljn2b6miUodXfn7wC2xCHVomIYgGDCE1IcJtqCK6GKBbkp2DO1CQ4PT68c6w5ZF+XiIjUi0GExs3j9WF3rX8+ZKyH3I2FJEnBqyLbqji0SkQUCxhEaNyONfahb8iN5DgjyqalhvRrb1yQg3iTHvUdA6i+zKFVIiKtYxChcVPaMutmZ8KgD+0fIavFiAfm+4dWtx1uCOnXJiIi9WEQoXHbFQgiFeM85G6slPbMf51qQ8+gKyzPQURE6sAgQuNyqWsQFzoHYdBJWD1r4ttURzMvLwWluUlweX145yiHVolijcfrQ1PPkOgyKEIYRGhclLbM0qI0JFmMYXuex5b4N62+yaFVopjzfz48i1X/uCf4ekPaxiBC4xJsy4TwbpkbeWBBDhJMelzsGsTBwOI0ItK+viEXtlc3AQB+e4xnT8UCBhEaM9uQO3gnS7iDSKLZgAfvyAXgP3+GiGLDO8da4PL4AAD76jqD/0zaxSBCY7a3rgNen4xZ2YnIT4sP+/M9tsQ/tPqHM23oGnCG/fmISCxZlq+5W27A6cHhS7wiqnUMIjRmu875l5iVh/lqiKI0Nxnz85Lh9sp4m0OrRJpXdakHFzoHEW/S4yvzpgIAKgOvO6RdDCI0Jm6vD3vDsE31VpRbed+saoTPx6FVIi3bVuVvwz4wPwcbF/hbs7vOtXNgXeMYRGhMqi/1wO7wID3BhAX5KRF73vvn58BqNqChewifX+AlWiKt6hl04aNTbQD8b0BWFmfAbNChuXcYte12wdVRODGI0JgobZl1JVnQ66SIPW+8yYCvLgwMrVZx0yqRVr1ztBkurw+luUmYl5eCOJMeK4szALA9o3UMInRLsiyjsiYyt+3eiNKe+eRMOzrsjog/PxGFlyzLwbaMskMIuDqPtov7RDSNQYRuqb5jAA3dQzDpdVg1MyPiz18yJQkLC1Lg8cl46wiHVom05uCFblzqGkSCSY8HFuQEP14+JwsAcLypD5123jmnVQwidEtKW2b5jHQkmA1Canhsqf9d0vZqDq0Sac0bgashD96Ri8QRrzHZSRbMy0uGLAN7atie0SoGEbqlyjAfcjcW982biiSLAU09wzhQ3yWsDiIKra4BJz45ExhSDewOGqm8hO0ZrWMQoVF1DzhxtNG/TbW8JEtYHRajHl9bmAcA1yw8IqLo9taRZri9MubnJaM0N/lL/15pzxw43wWH2xvp8igCGERoVHtqOyHLwNypSchJiRNay+OBodVd5zrQ3s+hVaJo5/PJeFMZUl365ashAHBbThKmJlsw7PbiIG/h1yQGERpVsC0zR9zVEMXMbCsWT0+F1ydjR+BQLCKKXp9d6EJjzxCsZgPun59zw8+RJCl4VYTtGW1iEKGbcnq82F/XCUDsfMhIyrum7VWN8HJolSiqKQdafnVhLuJNNx+EV27jrTzXwS2rGsQgQjd16GIPBl1eZFnNKM35cu9WhHtLpyIl3ohWmwP76jhFTxStOuwO7Dzrv8Jxs7aMYnlROuJNerT1O3CmtT8S5VEEMYjQTSltmfI5WdBFcJvqaCxGPR4KDq02Cq6GiCbqrSPN8PhkLCxIQcmUpFE/12LUB3cYsT2jPQwidEOyLAfXKovYpjqaRwO3+O2u6UBr37DgaohovK4dUp12i8/2G9meIW1hEKEbOnfFjpa+YViMOqwojvw21dEUZyViaWEafDI4tEoUhfaf70Rz7zCSLAbcN2/qmH7P+pIsSBJwqsWGNhvvmtMSBhG6IaUts7I4AxajXnA1X6b0lHdUN8Hj9QmuhojGQ2mrfm1h3phfXzISzcGTv5Wzr0gbGETohnYF1imXq6wto7indArSEkxo63dgT22n6HKIaIza+x2oDLy+PH6LIdXrVbA9o0kMIvQlHf0OnGjqAyB2m+pozAY9NpVx0ypRtNlR3QSvT8bi6amYmW0d1+9Vgsin9V0YcnnCUR4JwCBCX7I78G5lfl4yspIsgqu5OWVodW9dJ5p7hwRXQ0S34vXJ2H6LTaqjmZWdiLzUOLg8Pnx6nmdOaQWDCH2JctquWtsyiukZCVhRnA6ZQ6tEUWFvbQdabQ6kxBtxb+nYhlRHkiSJ7RkNYhChazjcXnxaH9imqvIgAgCPLfHf+rejugluDq0SqZoypPrQOIZUrxcMIjUd8HG7siYwiNA1PqvvgsPtQ06yBXOmjq9/K8KGudnISDShw+7kOyQiFWvtG8aeWv/fUaWtOhFLCtNgNRvQNeDEiea+EFVHIjGI0DVGtmUkSR3bVEdjMuiwaVE+AGBbFTetEqnV9uom+GRgaWEairMSJ/x1TAYdVs/OBMD2jFYwiFCQzydjd+D+fLUccjcWjy72v7vaX9eJxm4OrRKpjcfrw47qiQ+pXq+Cp/FqCoMIBZ1utaG934kEkx7LitJElzNmBenxwXMo3qzmVREitdld04H2fifSEky4p3TKpL/e2llZ0ElATZudd8xpAIMIBSltmVUzM2E2qG+b6miUxUhvHWmCy8OhVSI1UdqmXy/LC8lrS2qCCYum+d8ssT0T/RhEKGjkabvRpnxONjKtZnQNuIJHixOReE09Q9hX578TbzJDqtermMv2jFYwiBAA/0T7mdZ+SJL/cKloY9Tr8EhwaJWbVonUYkd1E2QZWFGcjsKMhJB9XWXP0aGL3bA73CH7uhR5DCIEAMGzHxYWpCI90Sy4mon5xpJ8SBLwWX03LncNii6HKOa5vT7sOOJfNqjs/AmVGZmJKMxIgNsr4wC3rEa1sAaRrVu3YvHixbBarcjKysLGjRtRW1sbzqekCYrmtowiLzUea2b5b+t7k7fyEglXea4dnXYnMhJN2BCGO/F494w2hDWI7Nu3D5s3b8ahQ4ewc+dOuN1u3HXXXRgc5LtVNRl0evB5fTcAYEMUbFMdzWOBHvRbR5vh9HgFV0MU294IbFLdtCgfJkPof9wo7Zk9NR3wcstq1DKE84t//PHH1/z6V7/6FbKysnD06FGsXr06nE9N43DgfBdcXh8K0uIntWhIDdaXZGFKkgVt/Q784Uw7HpifI7okopjU2D0UbJkou35CbdG0VCTHGdE75Maxxl4snh49awfoqojOiNhsNgBAWtqN/7A4nU709/df86DwG9mWiYZtqqMx6HV4ZHFgaPUwh1aJRFF2+qyamYGC9PiwPIdBr8O6wJZVtmeiV8SCiM/nw7PPPosVK1agtLT0hp+zdetWJCcnBx/5+fmRKi9meX0ydgcGVaO9LaP4xpJ86CTg0MUeXOgcEF0OUcxxeXx4KzCk+ngINqmOppyn8Ua9iAWRzZs34/Tp09i+fftNP2fLli2w2WzBR1MTj3YPt+NNfegedMFqMWBxoTYua05NjgvegvzmYQ6tEkXaJ2fb0DXgQqbVHAwK4bJmdiYMOgn1HQO8Wy5KRSSIPPPMM/jwww+xZ88e5OXl3fTzzGYzkpKSrnlQeCltmTWzMmHUa+dubuU8i7ePNcPh5tAqUSRtC7wBeGRRfthfV5IsRiwJvIlieyY6hfVPiCzLeOaZZ/Duu+9i9+7dKCwsDOfT0QQolzMrNNKWUayZlYXclDj0Dbnx8ek20eUQxYxLXYP4/EI3JMnfJo2ECrZnolpYg8jmzZvxm9/8Btu2bYPVakVbWxva2towPDwczqelMWrqGUJtux16nYS1gYEvrdDrpBFDq2zPEEWKssNnzaxM5KWGZ0j1ekoQqbrcA9sQt6xGm7AGkVdeeQU2mw1r167F1KlTg48dO3aE82lpjJTLmIumpSIl3iS4mtB7ZHE+9DoJVZd7UNduF10OkeY5PV68fbQZwNWdPpFQkB6PmVmJ8Ppk7K3jVZFoE/bWzI0eTz75ZDiflsZIq20ZRXaSBeWBoVVeFSEKv49Pt6Fn0IUpSZaIn1lVMZftmWilnelEGpd+hxuHLvq3qVaEYfWyWihDq7/l0CpR2CmB/+HF+TBEePhdWfe+t7YDbq8vos9Nk8MgEqP213XC45NRlJkQ0hMx1Wb1zEzkpcah3+HBhyeviC6HSLPqOwZw+FIPdBLwjcWR3wG1ID8VaQkm9Ds8qL7cE/Hnp4ljEIlRWm/LKHQ6CY8GetXctEoUPsqQ6vqSLOSkxEX8+fU6KdgOYnsmujCIxCCP14c9tbERRABg06I8GHQSjjX2oaaNxwYQhZrD7cU7xwJDqmHepDqakafxyjIPwYsWDCIx6GhDL/qG3EiJN2JhQYrocsIuy2oJHkHOoVWi0Pvo9BX0DbmRmxKHNbMiO6Q60qqZmTDpdWjoHuLxDlGEQSQGVQbOllk3OyviA2WiKO/S3j3WgiGXR3A1RNoS3KQauGVelASzActmpAMAdrE9EzVi46cQXWPXiNN2Y8WKGRkoSIuH3enBhyc4tEoUKnXtdlRf7r1miaBIG+YocyJc9x4tGERizMXOAVzsHIRRL2H1LG1tUx3NyKHVN6rYniEKFeVqSHlJFrKTLIKrAdYH5t6ONvSiZ9AluBoaCwaRGKNMky8tTEeSxSi4msjatCgPRr2EE019ONNqE10OUdQbdnnxWxUMqY6UmxKHOVOT4JOBPTVsz0QDBpEYE4ttGUVGohl33zYFAIdWiULhw5Ot6Hd4kJcah9Uz1XOFNdieqWF7JhowiMSQviEXjjT0AoiN23ZvRHnX9v7xVgw6ObRKNBnbAm3OR5cUQCdwSPV65YHXt/11XXB6uFFZ7RhEYsje2k54fTJmZ1uRnxaZUzHVZnlROooyEjDg9OB3J1pFl0MUtc5d6ccXjX0w6CRsWpQnupxr3J6bjEyrGQNODw5f5JZVtWMQiSGx3JZRSNLITatszxBNlPL3Z8PcbGRZxQ+pjqTTScEDL3n3jPoxiMQIl8eHfXWdALR9yN1YPFSWB5Neh1MtNpxs7hNdDlHUGXJ58N4XLQDUM6R6PaX9vOtcB7esqhyDSIyovtwDu8ODjEQTFuSliC5HqLQEE+69nUOrRBP1wYlW2J0eFKTFY8WMDNHl3NCK4gyYDTq09A2jps0uuhwaBYNIjFDaMutmZ6lqqEyUxwLtmd+daIXd4RZcDVF0UQK82oZUR4oz6bGy2B+S2J5RNwaRGCDL8oj5kNhuyyiWFKahOCsRQy4v3jvOoVWisTrdYsOJZhuMevUNqV5PaUNz3bu6MYjEgPMdA2jqGYbJoMOqmeq8jBpp1w+tsodMNDbKLbt33zYFGYlmwdWMThlYPd7Uhw67Q3A1dDMMIjFAuRpy54x0JJgNgqtRj4cW5sJk0OHclX4cb+oTXQ6R6g04PXhf5UOqI2UlWTAvLxkAt6yqGYNIDFDWurMtc62UeBPuu30qAA6tEo3F7463YtDlRVFGApYXpYsuZ0xG3j1D6sQgonFdA04ca1S2qcbu/pCbUd7VfXCyFbZhDq0SjWZbVQMA/5CqJKlzSPV6yt6kT893weHmllU1YhDRuD01HZBl4LacJExNjhNdjuqUTUvFrOxEONy+4F4EIvqyk819ON3SD5Neh4fK1D2kOtLcqUnISbZg2O3F5xe6RJdDN8AgonFsy4xOkqTgrbwcWiW6OaV9ee/tU5CWYBJczdhJkoT1gasibM+oE4OIhjncXuw/79+muoFB5Ka+ujAPFqMOte32YBuLiK7qd7iDZzMpwT2aKHMilefa+WZDhRhENOzQxW4MubzITjKjNDdJdDmqlRxnxP3zcgAAb3BolehL3v+iBUMuL4qzErGkME10OeO2rCgd8SY92vudON3SL7ocug6DiIYpbZn1JdlRM1gmijK0+vuTV2Ab4tAqkUKW5WBAj6Yh1ZEsRn1wh9IubllVHQYRjZJlObjWmHfL3NqC/BTMmZoEp8eHd441iy6HSDW+aOpDTZsdJoMODy3MFV3OhAXbMzUMImrDIKJRZ6/0o9XmgMWow4piblO9FUmSgldFtlVxaJVIoQyp3nf7VKTER8+Q6vXWlWRBkoDTLf24YhsWXQ6NwCCiUUpbZmVxJixGveBqosPGBTmIN+lR3zGAqks9osshEs427MaHJwNDqlGwSXU0GYlm3JGfAuDq6yOpA4OIRrEtM35WixEPzPcPrSrnaRDFsnePNcPh9mFWdiLKpqWKLmfSlEPweBqvujCIaFB7vwMnmm0AELx/nsZGedf30ak29Ay6BFdDJI4sy8FA/liUDqleT5kT+exCN4ZcHsHVkIJBRIN2Bw53mp+fgiyrRXA10WVeXgpKc5Pg8vrwzlEOrVLsOtrQi7r2AViMOnx1YfRsUh3NzKxE5KfFweXx4cB5bllVCwYRDQq2ZUp4NWQiHlsyDQDwJodWKYYFh1Tn5SA5zii4mtCQJAnlJWzPqA2DiMYMu7z4tN6f9LnWfWIeWJCDBJMeF7sGcfBit+hyiCKub8iFD09dAQA8HuVDqtfbEJgT2V3TAZ+PbzTUgEFEYz6r74LD7UNuShzmTLWKLicqJZoNePAO/76Ebdy0SjHonWMtcHl8mDM1CQsCd5poxeLpabCaDegacOF4c5/ocggMIpqjLOspn5OlieEyUZTzNP5wpg1dA07B1RBFjizL2Ha4AYB/eFtrryMmgw6rZ2cCYHtGLRhENMTnk3naboiU5iZjfl4y3F4Zb3NolWJI1aUeXOgcRLxJj40LckSXExYbgofgcZ+IGjCIaMipFhs67E4kmPRYVhR9B1OpjXIr75tVjewlU8xQbtl9YH4OrBZtDKleb+3sTOh1Emra7GjqGRJdTsxjENEQ5TLj6lmZMBu4TXWy7p+fA6vZgIbuIXx+gUOrpH09gy58dKoNQPRvUh1NSrwpuKCN7RnxGEQ0ZBfbMiEVbzLgq4FDvrZVNQiuhij83j7aBJfXh9LcJMzLSxFdTlgF2zM1bM+IxiCiEa19wzh7pR86CVgXGMSiyVPeFX5yph0ddofgaojCR5ZlvFnVBODqLh0tKw9snT50sRt2h1twNbGNQUQjlMuLCwtSkZ5oFlyNdpRMScLCghR4fDLeOsKhVdKugxe6calrEAkmPR7Q6JDqSEWZiSjKSIDbK2N/HbesisQgohFsy4TPY0uvblrl0Cpp1RuBIdUH78hFotkguJrIUK6KcE5ELAYRDRh0enAwMEzJ03ZD7755U5FkMaC5dxj7z3eKLoco5LoGnPjkTGBIdYl2h1SvpxyCt6e2Ax6vT3A1sYtBRAMOnO+Ey+vDtPR4FGclii5HcyxGPb4WOPSLm1ZJi9460gy3V8b8vGSU5iaLLidiyqalIjnOiN4hN4419okuJ2YxiGhAsC1Tkq25LYhqoZy3UVnTgfZ+Dq2Sdvh8Mt4MtGW0fMvujRj0uuBwP9sz4jCIRDmvT8aewO1nbMuEz8xsKxZPT4XXJ2NHdZPocohC5rMLXWjsGYLVbMD987U/pHq9isAheLsYRIRhEIlyx5t60T3ogtViwOJCblMNJ+Xd4vaqRng5tEoaobQbN96Ri3hTbAypjrR6ViYMOgkXOgdxqWtQdDkxiUEkyiltmbWzs2DU839nON1bOhUp8Ua02hzYV8clSBT9OuwO7DzrvxIQa20ZRZLFiKWBIzHYnhGDP7minPIXh22Z8LMY9XiIQ6ukIW8daYbHJ2NhQQrmTE0SXY4w5SVsz4jEIBLFGruHUNc+AL1OwtpZDCKR8Gjg1sbdNR1o7RsWXA3RxF07pKr9TaqjUW7jrb7cC9sQt6xGGoNIFFPS++LpqUiO1+YpmWpTnJWIpYVp8Mng0CpFtf3nO9HcO4wkiwH3zZsquhyhCtLjMSs7EV6fjL1su0Ycg0gUq6xR2jLcphpJSi99R3UTlyBR1FLai19bmAeLkad1K1uplbk7ihwGkSjV73Dj8MUeAFzrHmn3lE5BWoIJbf0O7KnlplWKPu39juCps4/H6JDq9ZQ3dHtrO+DmG4yIYhCJUvtqO+HxyZiRmYDCjATR5cQUs0GPTWXK0GqD4GqIxm9HdRO8PhmLp6diZrZVdDmqsCA/BekJJtgdHlRf6hFdTkxhEIlSV++W4dUQEZSh1b11nWjuHRJcDdHYeX0ytsfoJtXR6HUS1pX4h/7ZnoksBpEo5PH6gi0BtmXEmJ6RgBXF6ZA5tEpRZm9tB1ptDqTEG3FvaWwPqV5PeWNXWdMOWebSwkhhEIlCRxp6YRt2IzXeiIUFKaLLiVmPLfHf8rijuok9ZYoaypDqQxxS/ZJVMzNg0uvQ0D2E+o4B0eXEDAaRKKS0ZdbNzoKB21SF2TA3GxmJJnTYndzISFGhtW8Ye2r9bQelvUhXJZgNWD4jHQDbM5HEn2JRqFI5bZdtGaFMBh02LcoHALzBTasUBbZXN8EnA0sL01CclSi6HFVStlTzzUXkMIhEmQudA7jYNQijXsLqWRmiy4l5jy72v6s8cL4Ljd0cWiX18nh92FHNIdVbUd7gHWvsRfeAU3A1sYFBJMooKX1ZUTqsFm5TFa0gPR6rZvoD4ZvVvCpC6rW7pgPt/U6kJZhwT+kU0eWoVk5KHOZOTYJPBvcERQiDSJRR+pblJTxbRi2UhVBvHWmCy8OhVVKnbYFbdr9elgezgUOqo2F7JrIYRKJI76ALRxt6AXA+RE3K52Qj02pG14AreKQ6kZo09QxhX53/3T2HVG+tYq7/9XV/XSecHq/garQv7EHk5ZdfxvTp02GxWLB06VJUVVWF+yk1a29dB7w+GSVTrMhPixddDgUY9To8Ehha3VbFTaukPjuqmyDLwIridG5iHoPSnGRkWc0YdHlx6CK3rIZbWIPIjh078Nxzz+GFF17AsWPHMH/+fNx9993o6OBtURMRbMvMYVtGbb6xJB+SBHxW343LXYOiyyEKcnt92HHEv3RP2X1Do9PppODrLNsz4RfWIPKTn/wETz/9NJ566inMnTsXr776KuLj4/HLX/4ynE+rSS6PD/u5TVW18lLjsWZWJgDgzSoOrZJ6VJ5rR6fdiYxEEzbM5WvHWAW3rJ7r4JbVMAtbEHG5XDh69CgqKiquPplOh4qKChw8ePCGv8fpdKK/v/+aB/lVXeqB3elBRqIJC/JSRJdDN/BYoPf+1tFm9pVJNZQdN5sW5cNk4FjgWK0ozoDFqENL3zDOXbGLLkfTwvansqurC16vF9nZ1ybw7OxstLW13fD3bN26FcnJycFHfn5+uMqLOrsClwfXl2RBp5MEV0M3sr4kC1OSLOgZdOEPZ3g5l8Rr7B7CgfNdAK7uvKGxsRj1WFnsvzWf7ZnwUlU83rJlC2w2W/DR1MTDxABAlmVU1vj/IrAto14GvQ4PLw4MrR7m0CqJp+y2WTUzAwXpHHAfL+X1dlcN5xrDKWxBJCMjA3q9Hu3t1ybJ9vZ2TJly42U6ZrMZSUlJ1zwION8xgKaeYZgMuuDyLFKnbyzOh04CDl3swYVOHppF4rg8PrwVGFJ9nJtUJ0TZ13SiqQ8ddofgarQrbEHEZDKhrKwMlZWVwY/5fD5UVlZi+fLl4XpaTVJ2U6yYkY54k0FwNTSanJQ4rA+8eL3J82dIoE/OtqFrwIVMq5lXUicoK8mC+XnJAIDdPAQvbMLamnnuuefwi1/8Ar/+9a9x7tw5fPe738Xg4CCeeuqpcD6t5ij9Sb6YRAflHI+3jzXD4ebQKomxLRCEH1mUDyNP6Z6wYHuGQSRswvqn85FHHsGLL76Iv/mbv8GCBQtw/PhxfPzxx18aYKWb6xpw4oumPgDcHxIt1szKQm5KHPqG3Pjo9BXR5VAMutQ1iM8vdEOS/DtuaOKU23g/re/kG4swCXtMfuaZZ9DQ0ACn04nDhw9j6dKl4X5KTdld0wFZBkpzkzA1OU50OTQGep2ER4JDq2zPUOQpu2zWzMpEXiqHVCdjzlQrcpItcLh9+Ky+S3Q5msTrdSoXbMuU8CpSNHlkcT70OgnVl3tR184dBBQ5To8Xbx9tBnB1tw1NnCRJbM+EGYOIijnc3uAOgArOh0SV7CRLcOKeV0Uokj4+3YaeQRemJFmCg9M0OcoheLtr2uHzcctqqDGIqNjBi90YcnmRnWRGaS5vZY42ytDqbzm0ShGkBN+HF+fDwCHVkFhWlIYEkx7t/U6cbrWJLkdz+KdUxUbeLSNJ3KYabVbPzEReahz6HR58eJJDqxR+9R0DOHypBzrJv9OGQsNs0GPVTP9ZUmzPhB6DiErJshy8b72Cd8tEJZ1OwqOBHj03rVIkKEOq60uykJPC4fZQ4mm84cMgolJnr/Sj1eZAnFGPO2dwm2q02rQoDwadhGONfahp4yGOFD4OtxfvHAsMqXKTasitL8mCJAFnWvtxxTYsuhxNYRBRqV1n/VdDVs7MgMWoF1wNTVSW1RI8ep1DqxROH52+gr4hN3JT4rBmFq+ihlp6ohkLC1IBsD0TagwiKqUccse2TPRT3p2+e6wFQy6P4GpIq4KbVAO3jlPosT0THgwiKtTe78DJZv9k9jrefhf1VszIQEFaPOxODz48waFVCr26djuqL/des0yPQm9DYI3C5xe6Mejkm4pQYRBRocrAZb8F+SnIsloEV0OTNXJo9Y0qtmco9JSrIeUlWchO4mtGuBRnJaIgLR4ujy+444kmj0FEhZTLfmzLaMemRXkw6iWcaOrDGe4hoBAadnFINVL8W1bZngk1BhGVGXZ58WngPAOetqsdGYlm3H3bFAAcWqXQ+vBkK+wOD/JS47A6sOuCwkfZcr27pgNeblkNCQYRlfm0vgtOjw+5KXEomWIVXQ6FkPJu9b0vWjDA/jKFyLZAu+/RJQXQcUg17JYUpsFqMaB70IXjgZPRaXIYRFRmZFuG21S1ZXlROooyEjDo8uJ3x1tFl0MacO5KP75o7INBJ2HTojzR5cQEo16HNbP8V57YngkNBhEV8flkVNb4B1XZltEeSRqxabWKm1Zp8pQ234a52RxsjyClPVPJfSIhwSCiIqdabOi0O5Fg0mNpUZrocigMHirLg0mvw+mWfpxs7hNdDkWxIZcH733RAoBDqpG2dnYm9DoJte12NPUMiS4n6jGIqMiuwGW+NbMzYTZwm6oWpSWYcO/tHFqlyfvgRCvsTg8K0uKxgsdARFRKvAmLpilbVtmemSwGERVR1gaXl7Ato2WPBdozvzvRCrvDLbgailZKkOWQqhhsz4QOg4hKtPQN49yVfugkblPVuiWFaSjOSsSQy4v3OLRKE3C6xYYTzTYY9RxSFaUicIbU4Uvd6OcbiklhEFEJZfq6bFoq0hJMgquhcLpmaPVwI2SZuwhofJRbdu+6bQoyEs2Cq4lNhRkJKMpMgNsrY39dp+hyohqDiEoE2zK8WyYmPLQwFyaDDueu9HMXAY3LgNOD9wNDqo9zSFUotmdCg0FEBQacHhy60A2Aa91jRUq8CffdPhUAh1ZpfH53vBWDLi+KMhKwvChddDkxrTzQRt9T2wGP1ye4mujFIKICB+o64fL6MD09HjMyE0WXQxGi3HL5wclW2IbZY6axUXbQPLqkgEsPBSubloqUeCP6htw42tArupyoxSCiAiPbMnxhiR1l01IxKzsRDrcvuA+CaDQnm/twuqUfJr0OD5VxSFU0g16HdbMDh+DVsD0zUQwignl9MvbUKkGEbZlYIklS8FZeDq3SWChtvHtvn8KhdpVQXre5T2TiGEQEO97Ui55BF6wWAxZP5zbVWPPVhXmwGHWobbfjWCMv7dLN9TvceD9wu7cSYEm81bMyYdRLuNg5iIudA6LLiUoMIoLtPOu/GrJudhaMev7viDXJcUbcPy8HAPAGh1ZpFO9/0YJhtxfFWYlYUsg3LWqRZDFiaaF/aJh3z0wMf/IJpuwPYVsmdilDq78/eQV9Qy7B1ZAaybIcDKocUlUftmcmh0FEoIbuQZzvGIBeJ2HtLAaRWLUgPwVzpibB6fHhnWMcWqUv+6KpDzVtdpgMOjy0MFd0OXQdZZ/IkYZevpmYAAYRgZS7ZZZMT0NyvFFwNSSKJEnBqyLbDjdwaJW+RBlSve/2qUiJ55Cq2uSnxWN2thVen4y9tdyyOl4MIgKxLUOKjQtyEG/S40LnIKou9Yguh1TENuzGhycDQ6rcpKpabM9MHIOIILZhd/AHTgXXusc8q8WIB+b7h1aVc0SIAODdY81wuH2YlZ2IssDR86Q+yvEc++o64fJwy+p4MIgIsq+uEx6fjOKsREzPSBBdDqmA8m73o1Nt6Blkn5n8Q6pKMH2MQ6qqtiA/BRmJJtgdHlRf5lXN8WAQEYRtGbrevLwUlOYmweX14Z2jzaLLIRU42tCLuvYBWIw6fHUhN6mqmV4nBbessj0zPgwiAni8vuBAE9syNNJjS6YBAN6s4qZVGjGkOi8HyXEcaFe78hGn8fLv79gxiAhwpKEXtmE3UuONWFjAni9d9cCCHCSY9LjYNYiDF7tFl0MC9Q258OGpKwCAxzmkGhVWzcyAyaBDY88Q6ju4ZXWsGEQE2HXWf9luXUkW9Dr2fOmqRLMBD97h3xOxjZtWY9o7x1rg8vgwZ2oSFuSniC6HxiDBbMCdM/xbVneyPTNmDCICKKc0si1DN6KcI/KHM23oGnAKroZEkGUZ2w43APAPMXNINXqMbM/Q2DCIRNiFzgFc6hqEUS9h1cwM0eWQCpXmJmN+XjLcXhlvc2g1JlVd6sGFzkHEm/TYuCBHdDk0DhWBGxCONfaim28kxoRBJMKUtsyyonRYLRw+oxtTbuV9s6oRPh+H3mKNcsvuA/Nz+DoRZaYmx+G2nCTIMrC7hldFxoJBJMKUy3Vsy9Bo7p+fA6vZgIbuIXx+gUOrsaRn0IWPTrUB4CbVaMX2zPgwiERQ76ALRxr8i264P4RGE28y4KuBw822VTUIroYi6e2jTXB5fSjNTcK8vBTR5dAEKO2Z/ec74XB7BVejfgwiEbSntgM+GSiZYkVearzockjllHfDn5xpR4fdIbgaigRZlvFmVROAqztlKPqU5iQjO8mMIZcXh3gb/i0xiEQQ2zI0HiVTkrCwIAUen4y3jnBoNRYcvNCNS12DSDDp8QCHVKOWTidhfQnbM2PFIBIhLo8P++r821TZlqGxemzp1U2rHFrVvjcCQ6oP3pGLRLNBcDU0GUp7pvJcO7es3gKDSIRUXerBgNODjEQz5rPvS2N037ypSLIY0Nw7jP3nO0WXQ2HUNeDEJ2cCQ6pLOKQa7VYUZ8Bi1KHV5sC5K3bR5agag0iEKIcglZdkQcdtqjRGFqMeXwscdsZNq9r21pFmuL0y5uclozQ3WXQ5NEkWox4rizMB8BC8W2EQiQBZlq8GEbZlaJyUc0YqazrQ3s+hVS3y+WS8GWjL8JZd7RjZnqGbYxCJgLr2ATT3DsNk0GElt6nSOM3MtmLx9FR4fTJ2VDeJLofC4LMLXWjsGYLVbMD98zmkqhXrS/xB5ESzDR18E3FTDCIRoFwNWVmcgXgTB9Bo/JR3ydurGuHl0KrmKG23jXfk8jVCQ7KSLJgfOLCwkltWb4pBJALYlqHJurd0KlLijWi1ObCvji9oWtJhd2Bn4OgHtmW0p6KE7ZlbYRAJs067E8eb+gAA5SXcH0ITYzHq8RCHVjXprSPN8PhkLCxIwZypSaLLoRBT1r1/Wt+FYRe3rN4Ig0iY7anpgCwDt+cmY0qyRXQ5FMUeDdzSubumA619w4KroVC4dkiVm1S1aM5UK3JT4uBw+/BZfZfoclSJQSTM2JahUCnOSsTSwjT4ZHBoVSP2n+9Ec+8wkiwG3DdvquhyKAwkSQq+/lfWsD1zIwwiYeRwe3HgvD8Bc607hYIyQ7Cjugker09wNTRZSpvtawvzYDHqBVdD4TLyNF5uSP4yBpEwOnixG8NuL6YkWXBbDnu/NHn3lE5BWoIJbf0O7KnlptVo1mZzBO+keJxDqpq2rCgNCSY9OuxOnG61iS5HdRhEwmjX2attGUniNlWaPLNBj6+XKUOrDYKrocnYUd0Er0/G4umpmJltFV0OhZHZoMfqWYEtq2fZnrkeg0iYyLKM3TU8bZdCTxla3VvXiebeIcHV0ET4l9Nxk2osUdozu3ga75cwiITJmdZ+XLE5EGfUY/mMdNHlkIYUZiRgRXE6ZBnYXsWh1Wi0t7YDrTYHUuKNuLeUQ6qxYN3sTEgScPZKP+96uw6DSJgod8usmpnBITQKuceW+G/13HGkCW4OrUYdZUj1IQ6pxoz0RDPKClIBcLnZ9RhEwqTyHNsyFD4b5mYjI9GETruTL2pRprVvGHtq/a8PSpuNYgPbMzfGIBIGbTYHTrXYIEnAuhLuD6HQMxl02LQoHwDwBjetRpXt1U3wycDSwjQUZyWKLociSDmN9+CFbgw6PYKrUQ8GkTBQltYsyE9BptUsuBrSqkcX+99NHzjfhcZuDq1GA4/XxyHVGFaclYhp6fFweX04cJ633yvCEkQuX76Mb3/72ygsLERcXBxmzJiBF154AS6XKxxPpzpsy1AkFKTHY9XMDADAm9W8KhINdtd0oL3fibQEE+4pnSK6HIowSZKCZ46xPXNVWIJITU0NfD4fXnvtNZw5cwY//elP8eqrr+IHP/hBOJ5OVYZd3uB5AlzrTuGmLMJ660gTXB4OrardtsC5Ml8vy4PZwCHVWKS0Z/bUdMDLLasAAEM4vug999yDe+65J/jroqIi1NbW4pVXXsGLL74YjqdUjU/ru+D0+JCbEofZXFJEYVY+JxuZVjM67U7sPNuOr/C8EtVq6hnCvjr/5XgOqcauxYVpsFoM6B504XhTH8qmpYouSbiIzYjYbDakpaWN+jlOpxP9/f3XPKKNsjVvw9xsblOlsDPqdXgkMLT6y88uoW8oNtqf0WhHdRNkGVhRnI7CjATR5ZAgRr0Oa2f7r4rs4h1vACIUROrr6/HSSy/hT//0T0f9vK1btyI5OTn4yM/Pj0R5IePzycGzI9iWoUj5xpJ86HUSjjb0YukPK/EXb53AyeY+0WXRCG6vDzuO+JfPKTtgKHYp7Rneeu83riDy/PPPQ5KkUR81NTXX/J6Wlhbcc8892LRpE55++ulRv/6WLVtgs9mCj6am6NoaebLFhq4BJxLNBiwt5DZVioy81Hi8+s0yzJmaBKfHh7eONuOBn32GB3/2Kd460gSH2yu6xJhXea4dnXYnMhJN2DCXQ+yxbu2sLOh1EuraB3jHG8Y5I/L9738fTz755KifU1RUFPzn1tZWrFu3DnfeeSd+/vOf3/Lrm81mmM3Re7ur0pZZMysTJgPvjKbI2TA3GxVzsnCssQ+/OdSA35+8ghPNNpx4+yT+/vfn8PCiPDy+dBqmsyUghLLrZdOifL42EJLjjVg8PRWHLvZg17l2fGtloeiShBpXEMnMzERmZuaYPrelpQXr1q1DWVkZXn/9deh02v/Lp/T72JYhESRJQtm0VJRNS8X/+soc/OeRZrxxuAHNvcP4xYFL+MWBS1g9KxN/vGwa1pf435FR+DV2D+HAef+ddMruF6KKOdk4dLEHlTUMImFJBy0tLVi7di0KCgrw4osvorOzE21tbWhrawvH06lCc+8Qatrs0EnAutkMIiRWeqIZ3107A/v+Yh1++eSi4IFb++s68fS/H8Hqf9yDl/fUo9PuFF2q5im37K6amYGC9HjB1ZBaKOveD1/sQb/DLbgascJy++7OnTtRX1+P+vp65OXlXfPvZFmb900rS8wWTUtDaoJJcDVEfnqdhPUl2Vhfko3G7iG8UdWA/6xuQkvfMH78h1r886463Fs6Fd9cNg2Lp6fyTq8Qc3l8ePuof9btcW5SpREKMxIwIzMBFzoHsa+2E/fPzxFdkjBhuSLy5JNPQpblGz60im0ZUruC9HhsuXcODm4px08eno87ClLg9sr43YlWPPzaQdz7Lwfwm0MNGOAZGCHzydk2dA24kGk1B98BEymU7duxfveM9gc3ImDA6cHhiz0AwBcbUj2LUY+vLczDu3+2Ah9+byW+sTgfFqMONW12/K/3TmPZDyvxN++fRl27XXSpUW9bYEj1kUX5MOr5ckvXUn5e7KnthMcbu5uR+TcjBA7UdcLl9WF6ejxmZPKuBIoepbnJ+NFD83D4BxX4m/vmoigjAQNOD/79YAPu+ul+PPLaQXxwopXr4yfgUtcgPr/QDUny73ohut7CghSkxBthG3bjaEOv6HKEYRAJgZ2By2oVc7hNlaJTcpwR31pZiMrvr8Ebf7IU99w2BXqdhMOXevC9N7/AnT/ajX/6pBatfcOiS40abwaGVNfMykReKodU6csMeh3Wc8sqg8hkeX0y9tb6z49gW4ainSRJWFGcgVf/uAyf/tU6/PfymciymtE14MRLu+ux8v/uxn/79yM4cL4TPh7YdVNOjxdvH20GADzGc2VoFOXBOZHYPY03LHfNxJIvGnvRM+hCksWARdN5eBFpx9TkODy3YRa+t74YO8+24z8ONuDgxW58crYdn5xtR2FGAh5fWoBNZflIjjeKLldVPj7dhp5BF6YkWbC+hAPsdHOrZ2XAqJdwsWsQFzoHMCMzUXRJEccrIpOktGXWlWRxGI00yajX4Y9un4o3/9sy7Pwfq/HE8mlINBtwqWsQf//7c1i6dRf+8u0TONVsE12qaihDqg8vzoeBrws0CqvFiGVF/iNBYvXuGf4NmSTlchrbMhQLZmZb8bcPluLwD8rxD18tRckUKxxuH/7zSDPu/9mnePDlz/D20eaYPt+mvmMAhy/1QCcB31jMIVW6tfISZU4kNtszDCKTcLlrEPUdAzDoJKyZNbbV90RakGA24PGl0/DRn6/CO99djo0LcmDS63CiqQ//860TWLa1Ej/8r3No6B4UXWrEKUOq62ZnISclTnA1FA2UN7JHG3rRO+gSXE3kMYhMgjLlvHh6GpLj2COn2OM/3yYN//yNO/D5lvX4y3tmIzclDn1Dbvx8/0Ws+fFePPHLKuw62w5vDAy3OtxevHPMP6T6+DIOqdLY5KfFo2SK1X/zQ13sXRVhEJkEpS1TwWO9iZCRaMafrS3G/r9ch397YhHWBs632VfXiT8Zcb5N14B2z7f56PQV9A25kZsShzWzOKRKY6ds5Y7F9gyDyATZht2ovuzfplrBte5EQXqdhPI52fjVU0uw93+uxZ+uLkJKvDF4vs3yrZX48+1f4MjlHs0d+xDcpLo4n6cb07go7Zn9tZ0xt0CQQWSC9tV1wuOTUZyViGnp3KZKdCPT0hOw5Y/m4NCWcvzTpvlYkO8/3+b94634+qv+823eONyAQQ2cb1PXbkf15V7odRIe4ZAqjdOCvBRkJJpgd3qCb3JjBYPIBO06e3WbKhGNzmLU46GyPLy3eQU+eGYlHll09Xybv373NJb+sBIvvH8a56P4fBvlakh5SRaykyyCq6Foo9NJwZ0zO8/G1m28DCIT4Pb6sLc2MB/CtgzRuNyel4z/+/V5OLylAv/vfXNRGDjf5tcHG7Dhp/vxjZ8fxO9PXoE7ig4BG3ZdHVJ9bCmHVGligltWa9o117YcDTerTsCRy73od3iQlmDCHQXcpko0EcnxRnx7ZSGeunM6Pr/Qjf84dBk7z7bj0MUeHLrYg0yrGY8uKcCjS/IxNVndt8F+eLIVdocHealxWD2Tt/LTxKyamQGTQYemnmGc7xjArGyr6JIigkFkApTbdtfNzuJAGtEk6XQSVs7MwMqZGWjtG8b2qkZsq2pCp92Jf608j5f31GPDnGx8c9k0rChOV+XBktsCu0MeXVIAHV8TaILiTQasmJGOPbWd2Hm2PWaCCFsz4yTLcnANL9syRKGVkxKH5+6ajc+fX4+fPXYHlhamweuT8fGZNnzz3w6j/J/24d8+vQTbsFt0qUHnrvTji8Y+GHQSNi3KE10ORbmrh+DFzpwIg8g4XegcxOXuIZj0OqziNlWisDAZdLhvXg52/OlyfPI/VuP/CZxvc7FrEH/34Vks/eEu/NXbJ3G6Rfz5NsqQ6oa52ciyckiVJkfZJ/JFU5+md+6MxCAyTkpbZmlRGhLN7GwRhdusbCv+z4OlOPSDcvz9xqvn2+w40oT7XvoUG1/+DO8IOt9myOXBe1+0AOCQKoXG1OQ4lOYmQZaB3TWxsdyMQWSclMtlG7hNlSiiEs0GfHOZ/3ybt76zHA/Mz4FRL+F4Ux++/9YJLN9aia3/dQ6N3UMRq+mDE62wOz0oSIvHihkZEXte0rbykthqzzCIjEPvoAtHG3oBIHi/NxFFliRJWDw9Df/66B34/Ply/MXds5GTbEHvkBuv7b+INS/uwZOvV6HyXPjPt1HaMhxSpVBS9lMdON8VEydZs7cwDntqO+CTgZIpVuSlxosuhyjmZVrN2LyuGN9ZMwO7azrwH4casL+uE3tr/Y/clDg8vqwAjyzKR3qiOaTPfbrFhhPNNhj1HFKl0CrNTUJ2khnt/U4cutiNtbO1/caXV0TGYRfbMkSqpNdJ2DA3G//+Lf/5Nk+vKkRynP98m3/8uBbLt+7Gs9u/wNGG0J1vo9yye9dtU5AR4pBDsU2SpODdM7tioD3DIDJGLo8P++u6AFy9vYqI1Gd6RgL++itzcfgH5fjx1+dhfl4yXF4f3jveiodeOYg/+tdPse1w46TOtxlwevB+YEj1cQ6pUhgo6yF2n+vQ/JZVBpExOnypGwNODzKtZszLTRZdDhHdgsWox6ZF+Xj/mZV4f/MKbCrLg9mgw7kr/fjBu6ew7IeV+N+/O4P6jvGfb/O7460YdHlRlJGA5UXpYaieYt2dMzJgMerQanPg7JV+0eWEFYPIGCmH3JWXZHEojSjKzM9PwY83zcfhH5Tjf31lDqanx8Pu9OBXn19GxU/249GfH8J/nRr7+TbbqhoA+IdU1bjplaKfxajHqsBxAbvOavs2XgaRMZBlGbvO+f8gsC1DFL1S4k34k1VF2P39tfiPby/BXXOzoZOAgxe78WdvHMOKH+3GT3fWoc3muOnXONnch9Mt/TDpdXiojEOqFD5Ke6ayRttzIrxrZgxq2+1o6RuG2aDDymLuCiCKdjqdhFUzM7FqZiZa+4bxZlUj3qxqQofdiX+pPI+f7anHXXOz8cfLpmH5jGvPt1Fu2b339ilISzCJ+k+gGLAusCbiZLMN7f0OZCdpc3Mvr4iMgdKWWVGcgTiTXnA1RBRKOSlx+H7gfJuXHr0DSwLn23x0ug2P/X+HUf6TfXj9M//5Nv0ON94/3goAeGwJh1QpvLKsFizITwEAVJ7TbnuGV0TGQGnLVLAtQ6RZJoMO98/Pwf3zc1DbZsdvDjXgt8eacbFzEH/7wVn848e1uC0nCcNuL4qzErGkME10yRQDKuZk4XhTHyrPtWv2GAFeEbmFTrsTJ5r7AFw9jIiItG32FCv+bmMpDv91Bf5uYylmZSdi2O3FkcBmZQ6pUqQoc4mf1ndh2KXNLau8InILe2o6IMvA7bnJmu3PEdGNJZoN+ONl0/DNpQWovtyLNw43YMjlxcPcpEoRUjLFityUOLT0DeOz+i5UaHChJoPILewMbLVjW4YodkmShCWFaWzHUMRJkoSKOVn49cEG7DrXrskgwtbMKBxuLz49r2xTZVuGiIgiT2nPVNZ0wBfmgxxFYBAZxcEL3Rh2ezE12YLbcpJEl0NERDFoaVEaEkx6dNqdONViE11OyDGIjEJpy5TPyeJgGhERCWE26LFmdmDLqgYPwWMQuQlZlrGb21SJiEgFykuU03i1t0+EQeQmzrT2o63fgXiTnodaERGRUOtKsqCTgHNX+tHSNyy6nJBiELmJnYFtqiuLM2AxcpsqERGJk5ZgwsKCVABApcbaMwwiN6EcMqTFW6WIiCj6KD+PtNaeYRC5gTabA6db+iFJwPoS3rZLRETiKafxHrrQjQGnR3A1ocMgcgPK1ZAF+SnISDQLroaIiAiYkZmIaenxcHl9+PR8p+hyQoZB5AaU03a5TZWIiNTCv2XV/3Np51nttGcYRK4z5PLgswvdABhEiIhIXZQt33tqO+DVyJZVBpHrfHq+Cy6PD3mpcZiVnSi6HCIioqDF09NgtRjQM+jC8aZe0eWEBIPIdXaNOOSO21SJiEhNjHod1s32XxXRSnuGQWQEn0/G7hr/ABDbMkREpEZKe0Yr+0QYREY40dyHrgEnrGYDj/smIiJVWjsrC3qdhPMdA2joHhRdzqQxiIygtGVWz8qEycBvDRERqU9yvBGLp/u3rGphuRl/2o5QGfgfWjGXS8yIiEi9lPEBLbRnGEQCmnuHUNNmh07yX/YiIiJSKyWIVF3qQb/DLbiayWEQCVCuhiyalobUBJPgaoiIiG5uekYCZmQmwOOTsa82uresMogEBG/bZVuGiIiiwNVD8KK7PcMgAsDucOPQRf821XLetktERFFAac/sre2Ex+sTXM3EMYgAOHC+C26vjMKMBMzI5DZVIiJSv4UFqUiNN8I27MaRhujdssoggpGH3LEtQ0RE0UGvk7CuxP9zS/k5Fo1iPoh4fTL21PoHVdmWISKiaBK8jbcmeveJxHwQOdbYi94hN5LjjFg0LVV0OURERGO2amYGjHoJl7oGcaFzQHQ5ExLzQUS5nLV2diYM+pj/dhARURSxWoxYVpQOIHrbMzH/k3fkabtERETR5uqW1ehsz8R0ELncNYgLnYMw6CSsmZ0puhwiIqJxU07jPdLQg95Bl+Bqxi+mg4hyNWRJYRqSLEbB1RAREY1fXmo8SqZY4ZOBvXXRd1WEQQRsyxARUXRTfo7tOssgEjVsQ25UX/YvgGEQISKiaKa0Z/bVdcLlia4tq2EPIk6nEwsWLIAkSTh+/Hi4n27M9tZ1wOuTMTMrEQXp8aLLISIimrD5eSnISDRjwOlB1aUe0eWMS9iDyF/+5V8iJycn3E8zbrvOcYkZERFpg04noVzZshplh+CFNYh89NFH+OSTT/Diiy+G82nGze31YW9gm+oGnrZLREQaoLRndp1rhyzLgqsZO0O4vnB7ezuefvppvPfee4iPH1vrw+l0wul0Bn/d398fltqqL/fA7vAgLcGEBfncpkpERNFv5cwMmAw6NPcOo659ALOnWEWXNCZhuSIiyzKefPJJfOc738GiRYvG/Pu2bt2K5OTk4CM/Pz8c5eHghW4AwLrZWdDrpLA8BxERUSTFmwxYMSOwZTWK2jPjCiLPP/88JEka9VFTU4OXXnoJdrsdW7ZsGVcxW7Zsgc1mCz6amprG9fvH6rkNs/D7/74S31lTFJavT0REJELF3MBtvFEURCR5HI2kzs5OdHd3j/o5RUVFePjhh/HBBx9Akq5ebfB6vdDr9Xj88cfx61//ekzP19/fj+TkZNhsNiQlJY21TCIiopjUZnNg2dZKSBJQ/dcVyEg0C6ljPD+/xxVExqqxsfGa+Y7W1lbcfffdePvtt7F06VLk5eWN6eswiBAREY3PfS8dwOmWfvzj1+fh4UXhGXG4lfH8/A7LsGpBQcE1v05MTAQAzJgxY8whhIiIiMavYk42Trf0Y9fZdmFBZDxidrMqERGRFinbwg+c74LD7RVcza1FJIhMnz4dsixjwYIFkXg6IiKimHVbThKmJFkw7Pbi4MXR5zrVgFdEiIiINESSJKxXlpudVf/dMwwiREREGrMh0J7ZXdOh+i2rDCJEREQas3xGOuKMelyxOXCmNTxbykOFQYSIiEhjLEY9Vs7MAKD+5WYMIkRERBqktGcqA6fNqxWDCBERkQatK8mCJAGnWmxo73eILuemGESIiIg0KNNqxvy8FADqvirCIEJERKRRG6LgEDwGESIiIo0qD+wT+ay+C8MudW5ZZRAhIiLSqNnZVuSmxMHp8eHT+i7R5dwQgwgREZFGSZKECpVvWWUQISIi0rCKwJxIZU0HfD71bVllECEiItKwpYXpSDQb0DXgxMkWm+hyvoRBhIiISMNMBh1WzwpsWVVhe4ZBhIiISOMq5qj3Nl4GESIiIo1bNzsLOgmoabOjuXdIdDnXYBAhIiLSuNQEE8qmpQIAdteoa8sqgwgREVEMUNozO1U2J8IgQkREFAPKA0Hk8MUeDDg9gqu5ikGEiIgoBszITMD09Hi4vD4cqOsUXU4QgwgREVEMkCQpeFVkp4runmEQISIiihHKnMje2k54VbJllUGEiIgoRiyanookiwE9gy580dgruhwADCJEREQxw6jXYe1s/yF4amnPMIgQERHFkOAheOfUsU+EQYSIiCiGrJmVCYNOQn3HABq6B0WXwyBCREQUS5LjjFg8PQ0AsEsFV0UYRIiIiGKM0p5Rw2m8DCJEREQxpmKOf2C1+nIPbMNuobUwiBAREcWYaekJKM5KhMcnY5/gLasMIkRERDGoPHBVRHR7xiD02YmIiEiIr9w+FUNOL+69fYrQOhhEiIiIYtC8vBTMy0sRXQZbM0RERCQOgwgREREJwyBCREREwjCIEBERkTAMIkRERCQMgwgREREJwyBCREREwjCIEBERkTAMIkRERCQMgwgREREJwyBCREREwjCIEBERkTAMIkRERCSMqk/flWUZANDf3y+4EiIiIhor5ee28nN8NKoOIna7HQCQn58vuBIiIiIaL7vdjuTk5FE/R5LHElcE8fl8aG1thdVqhSRJIf3a/f39yM/PR1NTE5KSkkL6tekqfp8jg9/nyOD3OTL4fY6ccH2vZVmG3W5HTk4OdLrRp0BUfUVEp9MhLy8vrM+RlJTEP+gRwO9zZPD7HBn8PkcGv8+RE47v9a2uhCg4rEpERETCMIgQERGRMDEbRMxmM1544QWYzWbRpWgav8+Rwe9zZPD7HBn8PkeOGr7Xqh5WJSIiIm2L2SsiREREJB6DCBEREQnDIEJERETCMIgQERGRMDEfRC5fvoxvf/vbKCwsRFxcHGbMmIEXXngBLpdLdGma8w//8A+48847ER8fj5SUFNHlaMrLL7+M6dOnw2KxYOnSpaiqqhJdkqbs378f999/P3JyciBJEt577z3RJWnS1q1bsXjxYlitVmRlZWHjxo2ora0VXZbmvPLKK5g3b15widny5cvx0UcfCasn5oNITU0NfD4fXnvtNZw5cwY//elP8eqrr+IHP/iB6NI0x+VyYdOmTfjud78ruhRN2bFjB5577jm88MILOHbsGObPn4+7774bHR0dokvTjMHBQcyfPx8vv/yy6FI0bd++fdi8eTMOHTqEnTt3wu1246677sLg4KDo0jQlLy8PP/rRj3D06FEcOXIE69evx4MPPogzZ84IqYe3797Aj3/8Y7zyyiu4ePGi6FI06Ve/+hWeffZZ9PX1iS5FE5YuXYrFixfjZz/7GQD/GU35+fn43ve+h+eff15wddojSRLeffddbNy4UXQpmtfZ2YmsrCzs27cPq1evFl2OpqWlpeHHP/4xvv3tb0f8uWP+isiN2Gw2pKWliS6D6JZcLheOHj2KioqK4Md0Oh0qKipw8OBBgZURTZ7NZgMAvh6Hkdfrxfbt2zE4OIjly5cLqUHVh96JUF9fj5deegkvvvii6FKIbqmrqwterxfZ2dnXfDw7Oxs1NTWCqiKaPJ/Ph2effRYrVqxAaWmp6HI059SpU1i+fDkcDgcSExPx7rvvYu7cuUJq0ewVkeeffx6SJI36uP6FuqWlBffccw82bdqEp59+WlDl0WUi32ciolvZvHkzTp8+je3bt4suRZNmz56N48eP4/Dhw/jud7+LJ554AmfPnhVSi2aviHz/+9/Hk08+OernFBUVBf+5tbUV69atw5133omf//znYa5OO8b7fabQysjIgF6vR3t7+zUfb29vx5QpUwRVRTQ5zzzzDD788EPs378feXl5osvRJJPJhOLiYgBAWVkZqqur8S//8i947bXXIl6LZoNIZmYmMjMzx/S5LS0tWLduHcrKyvD6669Dp9PshaKQG8/3mULPZDKhrKwMlZWVweFJn8+HyspKPPPMM2KLIxonWZbxve99D++++y727t2LwsJC0SXFDJ/PB6fTKeS5NRtExqqlpQVr167FtGnT8OKLL6KzszP47/iOMrQaGxvR09ODxsZGeL1eHD9+HABQXFyMxMREscVFseeeew5PPPEEFi1ahCVLluCf//mfMTg4iKeeekp0aZoxMDCA+vr64K8vXbqE48ePIy0tDQUFBQIr05bNmzdj27ZteP/992G1WtHW1gYASE5ORlxcnODqtGPLli249957UVBQALvdjm3btmHv3r34wx/+IKYgOca9/vrrMoAbPii0nnjiiRt+n/fs2SO6tKj30ksvyQUFBbLJZJKXLFkiHzp0SHRJmrJnz54b/tl94oknRJemKTd7LX799ddFl6Yp3/rWt+Rp06bJJpNJzszMlMvLy+VPPvlEWD3cI0JERETCcBiCiIiIhGEQISIiImEYRIiIiEgYBhEiIiIShkGEiIiIhGEQISIiImEYRIiIiEgYBhEiIiIShkGEiIiIhGEQISIiImEYRIiIiEgYBhEiIiIS5v8H7uOD7FOghXwAAAAASUVORK5CYII=\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"M = len(x)\n", | |
"w = y\n", | |
"\n", | |
"fig, axs = plt.subplots(M, M)\n", | |
"\n", | |
"p = sp.poly1d(0.0)\n", | |
"for j in range(M):\n", | |
" pt = sp.poly1d(w[j])\n", | |
" for k in range(M):\n", | |
" ax = axs[j][k]\n", | |
" ax.axis('off')\n", | |
" if k == j:\n", | |
" ax.plot(x, y, 'r')\n", | |
" continue\n", | |
" fac = x[j]-x[k]\n", | |
" pt *= sp.poly1d([1.0, -x[k]])/fac\n", | |
" ax.plot(pt(x), 'k')\n", | |
"\n", | |
" xp = np.linspace(x.min(), x.max(), 100)\n", | |
" axs[j][j].plot(xp, p(xp), 'g')\n", | |
" p += pt\n", | |
"\n", | |
"plt.tight_layout()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 487 | |
}, | |
"id": "HIH6gXn-X3gx", | |
"outputId": "3c9e4cc2-ad06-48e7-ca73-dbcc67e8e96a" | |
}, | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 640x480 with 36 Axes>" | |
], | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAnUAAAHWCAYAAAARl3+JAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAADpCElEQVR4nOzddXxT1xvH8U/qLcXa4jbcRnEdw911DIbLGBPGsBkbNoPfgG1swBhjuLtbcXd3d69TTZ7fH3cJMApUkty0Pe/Xqy9Ck5zzTfXpOfc+1yAigqIoiqIoipKsOekdQFEURVEURUk6VdQpiqIoiqKkAKqoUxRFURRFSQFUUacoiqIoipICqKJOURRFURQlBVBFnaIoiqIoSgqgijpFURRFUZQUQBV1iqIoiqIoKYAq6hRFURRFUVIAVdQpiqIoiqKkAC66zBoVBUFBkCWLLtMryuuEh4ezdOlSOnbsqHeUF4gI58+fJywsLNFjGAwGihQpgpeXlxWTKYomOjqaRYsW0bZtW1xdXfWO84JHjx5x9epVvWMkibu7O8WKFcPJKeWtzYSHh3P27Fm9YziEsmXLJuwJoof27UVcXUV279ZlekV5lf3790uhQoUEkKVLl+od5zmnT5+WunXrCpDkt8yZM8vUqVPFaDTq/bKUFGbq1KkCSOXKlfWO8oLHjx9LhgwZrPI9pPfbsGHD9P5wWp3JZJI333xT94+tI7w5OTkl+ONn/5W6wEBYuBBiY+F//4MlS+weQVHiEhsby48//siIESOIjY0lR44cpE+fXu9YAAQFBTF8+HB+//13YmNjcXV1JWvWrIkeLywsjPv379O9e3cmTpzIb7/9RqVKlayYWEmtjEYjP/30EwCtW7fWOc2L1q9fT1BQEO7u7mTOnFnvOIkSFRXF/fv3mTdvHkOHDtU7jlWdPHmSkydP4uzsTPbs2fWOo6tErcLaoNB+tRkzREB7c3ISuXrV7hEU5b8uXrwolStXtvyF9M4778ijR4/0jiWxsbHy119/SaZMmSzZmjdvLhcvXkzSuFFRUfLzzz9L2rRpLeN27txZbt++baXkSmq1YMECASRjxowSEhKid5wXdO7cWQAZOHCg3lESLTAwUJydnQWQK1eu6B3HqkaNGiWANGrUSO8oyZL9N+PNK3NOTmAywYQJdo+gKGYiwtSpUylVqhR79uwhXbp0zJw5k3nz5uHj46Nrtt27d1OxYkV69erFgwcPKFKkCOvXr2fZsmXkz58/SWO7ubkxYMAAzp8/T9euXQGYMWMGhQoVYvTo0URFRVnhFSipjYjw448/AtC3b1/Spk2rc6LnmUwm1q1bB0DDhg11TpN4GTJkoHLlygCsXbtW5zTWZX49yfnzoyu7lpBhYSIeHtoq3ciR2r8ZM4qEh9s1hqKIiDx48EBatGhhWamqVq2aXHWAleObN2/Ke++9Z8mVLl06GTdunERHR9tszr1790qFChUscxYsWFBWrVpls/mUlGnt2rUCSJo0aeThw4d6x3nBwYMHBRBvb2+JiorSO06SfP/99wJI06ZN9Y5iNcHBweLi4iJAkncjUiv7FnULF2qFXL58IrGxInnzav//6y+7xlCUNWvWSNasWQUQV1dXGTVqlMTGxuqaKTIyUn744QdJkyaNAGIwGKRnz55y7949u8xvNBpl2rRpkiVLFktx16hRIzl37pxd5leSv7ffflsAGTBggN5R4jRy5EjLIQzJ3eHDhy0FdGRkpN5xrGLJkiWWPyqVxLFvUde+vVbEmY9lGDNG+3+JEiImk12jJElEhEjLlk9fh5JshIeHy4cffmgpWooVKyaHDx/WNZPJZJIVK1ZI/vz5LbkqV64sBw8e1CVPcHCwDBo0SFxdXS1F76BBgyQ4OFiXPErysGPHDgHEzc1Nbt26pXecOFWpUkUAmTRpkt5RksxkMln+MN24caPecayiV69eAkjfvn31jpJs2a+oi4wUSZtWK+LMrUwCA0W8vLT3bd1qtyhJNnXq05M9rl/XO40STwcPHpTChQtbCqe+ffvKkydPdM105swZqV+/viVTtmzZZObMmWJygD9yzp07J40aNbJky5o1q0ybNk21QFHiZP5aef/99/WOEqdHjx6Jk5OTAHLt2jW941hF165dBZD+/fvrHSXJTCaT5MyZUwBZu3at3nGSLfsVdatXa0VQ9uwiz/5S+OAD7f2tWtktSpKYTCKlSj0t6n77Te9EymvExsbKd999ZzlWI1u2bLJ+/XpdMwUFBUn//v0tmdzc3OSLL75wyLMFV61aJQULFrQUdxUrVpR9+/bpHUtxIEeOHLH01XLUY6HmzZtnWZ1PKebPny+AFC1aVO8oSXbixAkBxMPDQ/c/tpMz+xV1PXpoRdBHHz3//pMnn7Y3SQ5/Pe3Y8bSgA5Hq1fVOpLzC5cuX5a233rIUJG3atNH1AG6TySRTp06VzJkzWzI1bdpULly4oFum+IiMjJRRo0aJt7e3JXefPn10Pw5RcQzvvPOOANK+fXu9o7xUly5dHPp4v8R4/PixZfXREU7ySorRo0cLIA0bNtQ7SrJmn6IuJkbEz08rggICXry/dm3tvs8/t0ucJGnbVstav/7TYtROB7Ir8WcymeSff/6xFCFp06aV6dOn676taTKZpGHDhgJI4cKFk902w+3bty19vgD57LPP9I6k6OzcuXNiMBgEkGPHjukdJ05Go9FyAtCmTZv0jmNV5j9aJ06cqHeUJKlRo4YA8pva/UoS+xR1mzdrBZCPj1bg/deyZU/vd+Rl1+vXRZydtazHj4uUKaPO3nVADx8+lNatW1sKj7feeksuX76sdyyLs2fPys8//5ysWyrMnTvX8vGdMGGC3nEUHfXo0cPhW2scOnQoxZ0pavbdd98JIM2aNdM7SqI928rE0XctHJ19mg+bGw43bw4ucVyZrEkTeOMNePwY5syxS6REmTQJjEaoUQNKlIBWrbT3q0udOYz169dTokQJFi9ejIuLCz/88APbtm0jb968ekezKFy4MAMGDMDNzU3vKIn27rvv8t133wHwySefWBq6KqnLjRs3mDFjBgBfffWVzmleztzQtk6dOri7u+ucxroaNWoEQEBAQLJtGh4QEEBsbCwFCxakQIECesdJ1mxf1JlMsHSpdvtl1wF0doaPP9Zu//abdrSao4mMhMmTtdt9+2r/mou6TZsgOFifXAoAERERfPLJJzRo0IA7d+5QpEgR9u7dy5dffomzs7Pe8VKkr776ii5dumA0GnnnnXc4fvy43pEUOxszZgwxMTHUqFHDoa8dnJKvUlCqVCmyZs1KeHg4O3fu1DtOoqTkz4+92b6oO3AAbt2CtGmhdu2XP657d/DyguPHYccOm8dKsHnz4OFDyJ0bmjbV3le0qPYWEwOrV+ubLxU7fPgwZcuW5ffffwfgo48+4tChQ5QtW1bnZCmbwWBg8uTJ1KhRg9DQUJo0acKdO3f0jqXYyYMHD5j87x+6jrxK9/jxY/bs2QOkzKLBYDDQoEEDANasWaNzmoQTEVXUWZHtizrz1mTjxuDh8fLHZcwInTppt3/7zeaxEkTkaaaPPnp+C9m8Wrd4sf1zpXJGo5GffvqJSpUqcebMGbJmzcratWv5/fff8fLy0jtequDm5saSJUsoXLgwN27coGnTpoSHh+sdS7GD3377jYiICMqVK0edOnX0jvNSGzduxGQyUaxYMXLnzq13HJswF0PJ8Tqwp06d4ubNm3h4eFC9enW94yR7ti3qRJ4WO+bi51XMW7DLlsH16zaLlWC7dsGRI1pR2qPH8/eZX9fatfDkif2zpVJXr16lZs2afPnll8TExNCyZUtOnDhh+YtVsZ+MGTOyevVq/Pz8OHToEB07dsRoNOodS7GhkJAQxo8fD8CXX36JwWDQOdHLpYZVoLp16+Lk5MSZM2e4du2a3nESxPz5qVmzJp6enjqnSf5sW9SdOAGXLoG7O8TnG+rNN6FWLe1khIkTbRotQf794UXHjuDr+/x9pUtDnjwQEQHr19s/WyojIsyYMQN/f3927NiBt7c3U6dOZfHixfj5+ekdL9XKnz8/y5Ytw83NjWXLlvH555/rHUmxoYkTJxIcHEyRIkVo0aKF3nFeymQyWU7iSclFXcaMGalcuTKQ/FbrUkPRbU+2LerMW6/164O3d/ye88kn2r+TJ2uFkt5u3ny62mjO9iyDQZ0FayePHz+mXbt2dOnShdDQUKpUqcKxY8fo1q2bQ68UpBZvvfUW06ZNA7QD6P/88099Ayk2ERERwdixYwFtlc7JyT5NFBLj6NGj3Lt3jzRp0lC1alW949hUctyCDQ0NtZzcoYo667BPUfeys17j0rSptvL1+DHMnWubXAlhbmNSvTr4+8f9GPPrW7kSoqPtly0V2bhxIyVKlGDhwoW4uLjw3XffsW3bNvLly6d3NOUZ7du3Z8SIEYB2wsp6tXqd4vzzzz/cv3+fPHny0L59e73jvJK5wKldu3aKa2XyX+aiKDm1NgkICCAmJoYCBQqoViZWYrui7sIFbfvVxUXrQxdfzs7ayQigf3uTyEgwrzaY25jEpXJlyJpVa2uyebN9sqUSERER9OvXj3r16nH79m0KFSrEnj17+Prrr3GJq+ehorshQ4bQuXNnjEYjbdu25eTJk3pHUqwkJiaG0aNHAzBo0CBcXV11TvRqqWlrr1SpUmTJkiVZtTZJTZ8fe7FdUWfuTVezJvj4JOy5PXqApyccOwZ6fnHOn6+1McmVC5o1e/njnJzAfFyJ2oK1mmPHjlG+fHl+/fVXAPr06cPhw4cpV66czsmUVzEYDPz1119Ur16d0NBQGjduzN27d/WOpVjB3LlzuXbtGpkzZ6Z79+56x3mlwMDAFN3K5L+cnJwsJ4olhy1Y1crENmxX1CXkrNf/8vHRv72JCPxbTLzQxiQu5te5bJm2XaskmtFo5H//+x/ly5fn1KlTZMmShdWrVzNhwgTSpEmjdzwlHsytTgoVKsT169dp1qwZT9TZ4cmayWTip59+AqB///4Of6aiuZVJ0aJFyZMnj95x7CI5HVd3+vRpbty4gYeHBzVq1NA7Tophm6Luxg3Yv187iSCxZ0aZ25ssXaqNZ2+7dz9tY9Kz5+sfX6OG1mvvwQOtBYqSKNeuXaN27doMHjyYmJgYmjdvzokTJyyXwlGSDx8fH1avXo2vry8HDhygU6dOmEwmvWMpibR8+XLOnDlD+vTp6dOnj95xXis1rgKZW5ucPn2a647UFiwO5s9PjRo1HP4PhOQkwQcliQhPYl7zF/fS+eAKVK4EPmkhOhHNSAvng9rVYPt2mPgrDBue8DGS4vdx2mvo+A6k9Yjfa2jeEGbPgSXzoVL8rmbg5eqlztxE+7qaM2cOH374ISEhIaRJk4ZffvmFHj16qI9PMlagQAGWLVtG7dq1WbJkCV988YXlmCwl+RARfvjhBwA+/vhj0qVLp3OiV0strUz+y8fHh0qVKrF7927Wrl1L79699Y70Uqmx6LYHg0jCzkQIjw7H+8d4tidRXivsyzDSuKXuLcXAwED69OnD/PnzAahUqRKzZs0if/78OidTrGX27Nl07NgRgMmTJ9OrVy+dEykJsXHjRurVq4enpyfXrl0jU6ZMekd6pSNHjlCmTBnSpEnDo0ePUvyZr8/67rvv+Oabb2jevDnLli3TO06cQkND8fX1JSYmhvPnz1OwYEG9I6UYjttgSEkVNm/ejL+/P/Pnz8fZ2ZkRI0awY8cOVdClMO+99x7Dh2ur7X369GHjxo06J1ISwrxK9/777zt8QQdPV4Fq1aqVqgo6eL61SbSDttjavHkzMTEx5M+fXxV0Vpbg7VcvVy/Cvgx7+QOmTdOOhytVEnZa4diycePgm2/AvwTs2q0dp2dLkZFQpIh21uvsWdC8RcKe36mTdhzggP4wfMRrH+7lmjqvURoZGclXX33FuHHjAChYsCCzZs2iQoUKOidTbOWbb77h4sWLzJw5kzZt2rBr1y7efPNNvWMpr7Fnzx62bt2Kq6srAwYM0DtOvKTmrb3SpUuTOXNm7t+/z86dO6lVq5bekV6Qmj8/NifW1rChCIh89511xnv0SMTTUxtzxw7rjPkq06Zpc+XKJRITk/Dnz52rPb9gQRGTyfr5UoBjx47Jm2++KYAA0rt3bwkLC9M7lmIHkZGRUq1aNQEkT5488vDhQ70jKa/RtGlTAaR79+56R4mXwMBAcXZ2FkCuXLmidxxddO7cWQAZOHCg3lFeYDKZJHfu3ALI6tWr9Y6T4lh3+zU4GDZt0m4nppVJXHx84L33tNu2bm8i8vQ6rx9++Po2JnFp1Ajc3LTmy6dPWzdfMmcymRgzZgzly5fn5MmTZM6cmRUrVjBp0iTVqiSVcHd3Z8mSJRQoUIBr164xbNgwvSMpr3D8+HFWrlyJwWBINtfz3bhxI0ajkSJFivDGG2/oHUcXjtzaxHxmrru7u2plYgPWLepWr4aYGChaVHuzFvM1V5cs0a7Fait79sChQ+DuHr82JnFJlw7q1dNuq0bEFjdu3KBOnToMHDiQ6OhomjZtyokTJ2jatKne0RQ78/X1ZfLkyYB2YfjT6o8fh2XuS9emTRsKFSqkc5r4UVt7UK9ePZycnDh16hQ39GgJ9grPtjLx8kqdhx/ZknWLOnMRY61VOjN/f60PnNEIEydad+xnmVfp3nsP/PwSP4759ZsbMKdyc+fOxd/fny1btuDl5cXkyZNZvnw5mTNn1juaopOaNWvSokULjEYj/fv3R/S8HKASp0uXLlnOSP/yyy91ThM/IpIqW5n8l4+PDxUrVgQcb7VOFd02ZrWN3PBwES8v7XiyQ4esNqzF4sXa2H5+IhER1h//1i0RFxdtjiNHkjbWgwcizs7aWBcvWiVechQYGCjt27e3HDtXoUIFOX/+vN6xFAdx4cIFcXV1VcfWOKj3339fAGnYsKHeUeLtyJEjAoiXl5dERkbqHUdXI0aMEEBatGihdxSLkJAQy/f8uXPn9I6TIllvpW79enjyBPLkgdKlrTasRbNmkDu3dlbqvHnWH3/SJIiNhbffhlKlkjaWnx9Ur67dNl8DN5XZsmUL/v7+zJ07F2dnZ4YOHcrOnTvV6euKRYECBfj0008B7bJTMTExOidSzG7fvs20adMA+Oqrr/QNkwCpuZXJf5lXwjZt2uQwrU3MrUzy5cunfhfYiPWKume3Xm3RdsTFRTt5AbQTJqy5XRMVpRV18PT4vaQyb8GmsuPqoqKiGDRoELVr1+bGjRsUKFCAXbt2MWzYMFxdXfWOpziYIUOGkClTJs6dO8dEWx5aocTb3bt36dy5M9HR0VStWpWqVavqHSne1NbeU2XKlCFz5syEhYWxy0EuXfns50ddKchGrLLeFxUlkj69tt24c6dVhozTw4ciHh7Wn2f6dG3MnDlFoqOtM+atW9qYoN1OBY4fPy7+/v6W7daePXtKaGio3rEUB/fnn38KIBkzZlQtTnS2dOlS8fPzE0Dc3d1lhz3aSFnJs61MLl++rHcch2BubTJo0CC9o6hWJnZinZW6LVu0diZZs0LlylYZMk6+vtZvbyLydKwPPwRrrSZlz/70Y+Ggl2qxFpPJxLhx4yhfvjzHjx/Hz8+P5cuX89dff+HtrS4pp7xajx498Pf3JzAw0HLVCcW+wsLC6NmzJy1btuThw4eULFmSQ4cOJatVuk2bNllameTNm1fvOA7BkVqbnDlzRrUysQPrFHXmLcYWLcDJxlceM2+PLl4M168nfby9e5+2MbH29ShTwVmwN2/epF69evTv35+oqCgaNWrEiRMnaNasmd7RlGTC2dnZcmWRCRMmcObMGZ0TpS579uyhVKlS/P333xgMBgYPHsy+ffsoXry43tESRG29vsjc2uTkyZO6tzZRrUzsI+kVmNH4dCXK2q1M4lKyJFSrps1brBj06AG7dyf+GDtzG5MOHZLWxiQuLVtq/27bpp3gkcIsWLCAEiVKEBAQgKenJxMnTmTVqlVkzZpV72hKMlOrVi2aN2+O0WhMNpeiSu5iYmL49ttvqVq1KpcuXSJ37txs2bKFUaNGJbuTDES1MonTs61NzB8fvaii206SvIG7bZt23FiGDNY7Hu11jh0TKVz46TFrIFK0qMiYMSL378d/nGfbmBw+bJusJUtq40+dapvxdRAUFCQdO3a0HDtXrlw5OXv2rN6xlGTu/PnzlnYHa9as0TtOinbu3DkpX7685Xu4Y8eOEhQUpHesRDt69KhqZfIS5tYmLVu21C1DaGiouLm5qVYmdpD0lTrz1muzZtY7Hu11/P3hzBnYvh26dAFPT+3/AwZAjhzQtq3WYsVofPU45jYmVavapg0LQOvW2r8p5CzYbdu24e/vz6xZs3BycuKbb75h9+7dFC5cWO9oSjJXsGBB+vbtC8CAAQNUixMbEBEmTZpE6dKlOXDgABkyZGDevHnMnDmT9OnT6x0v0VQrk5dzhNYmmzdvJjo6WrUysYcklYQmk3bhexBZvtw6ZWZiBAWJTJwoUq7c86t3uXOLDB0qcvXqi8+JjBTJnFl73Pz5tst28qQ2h5ubSEiI7eaxscjISBk8eLAYDAYBJF++fLJr1y69YykpTGBgoOXsy/Hjx+sdJ0W5e/euNG7c2LI6V6tWLblx44besayiWrVqAsgff/yhdxSHYzQaJXPmzALIli1bdMnwwQcfCCAfffSRLvOnJkkr6g4c0AqWNGlEnjyxUqQkOnJE5OOPte1gc3FnMIjUry+ycKHWfkVEZMYM7b4cOWy7bWwyiRQqpM01b57t5rGhkydPSsmSJS2/DLp37y4hybhAVRzbxIkTBRAfHx959OiR3nFShOXLl0umTJkEEDc3Nxk7dqwYjUa9Y1mFamXyep06ddKttYnJZJI8efIIIKtWrbL7/KlN0oq6L7/UipW2ba0Ux4qePBGZPVukZs3nV+/8/ET69396rNv339s+yxdfOO7H6RWMRqP88ssv4u7uLoD4+vrKkiVL9I6lpHAxMTHy5ptvCiB9+/bVO06yFhoaKr169bL8QVaiRAk5fvy43rGsauHChQJI4cKF9Y7isObMmSOAvPnmm3af+/Tp05a+h+Hh4XafP7VJfFH37ArU3LlWjGQDFy+KfPWVSLZszxd47u4JO7Eisfbvd7wVzde4efOm1K1b1/LLoEGDBnL79m29YympxIYNGwQQZ2dnOX36tN5xkqW9e/dKgQIFBBCDwSADBw5MkScRdO/eXQDp16+f3lEc1sOHD8XJyUkAuX79ul3nHjNmjABSr149u86bWrkk+mC806fh/Hlwc4NGjRI9jF3kzw/ffw/Dh8O6dTBlCqxaBZ9+Cpky2X7+cuUgVy64cQM2btROKnFgixYt4v333ycwMBAPDw/GjBlDnz591GVdFLupW7cuTZs2ZeXKlQwcOJDVq1frHSneLly4wLfffsvdu3d1y2Aymdi1axdGo5GcOXMyY8YMatasqVseWxHVyiRefH19qVChAnv37mXdunX0snZP1ldQrUzsLNHl4IgR2upT48bWKzHtyWSy73yffqp9vLp0se+8CRAUFGS5rAwgZcqUkTNnzugdS0mlzp07Z2lxsnbtWr3jvJbJZJLJkyeLl5eX5XtI77f27dvL48eP9f7Q2MyzrUwiIiL0juPQhg8fbvfWJs+2MlFtr+wj8St15hYd5pYdyY29V51atYJff4UVKyAmxn7tX+Jpx44ddOrUiWvXruHk5MQXX3zB0KFDcXNz0zuakkoVKlSITz75hLFjx9K/f3/q1KmDi0vif2TZ0v379+nVqxcrVqwAtK75H3zwga6r2zlz5qRKlSq6zW8P5lWgmjVr4uHhoXMax9awYUOGDh1qaW1ij5/t5lYmefPmpVChQjafTyGRK3WXLmmrTs7OIg8eWLnOTKFiY0UyZdI+bhs26J3GIioqSr744gtLq5K8efPKzp079Y6lKCKindno6+srgPz+++96x4nTqlWrLC0j3Nzc5Oeff04xZ5Y6OnMrE0f92nAkRqPRcga0vVqbmFuZfPjhh3aZT0ls82HzKl316ta/tFZK5eysXRsXHKYR8ZkzZ6hUqRI//fQTIkLXrl05evQob731lt7RFAWADBkyMHLkSAC+/fZbAgMDdU70VHh4OH369KFJkybcv3+f4sWLs3//fgYMGICTra+BrRAcHMyuXbsAdbxWfDg5OVG/fn3g6QqnLYmIOp5OB0kr6uxxrdeUxPzxWrr09Ve7sCER4ffff6dMmTIcOXIEHx8fFi1axD///EO6dOl0y6UocenVqxfFixfn8ePHjBgxQu84ABw4cIDSpUszadIkAD777DMOHjxIyZIldU6WemzatAmj0UihQoXIly+f3nGSBXNxZY+i7uzZs1y7dg03N7cUeZKOo0p4UXf7NuzZo902rzwp8VOrFqRPD/fuwd69ukS4ffs2DRs25JNPPiEyMpL69etz4sQJWifXYyOVFM/FxYVx48YB8Pvvv3Pu3DndssTGxjJy5EgqV67MhQsXyJEjB5s2bWLs2LHqmC47U6tACVevXj0MBgMnTpzg5s2bNp3L/PmpXr06adKkselcylMJL+oyZ4ZNm2DUKO06q0r8ublB06babR22YJcsWUKJEiVYv349Hh4ejB8/nrVr15I9e3a7Z1GUhKhbty5NmjQhNjaWgQMH6pLh0qVLVKtWjW+//Raj0cg777zD8ePHqV27ti55UjNRrUwSxc/PjwoVKgBYPn62oopuneh7SF8qtGSJdrLEG2/Yra1KcHCwdO3a1dLmoFSpUnLq1Cm7zK0o1nL27FlxcXERQNavX2+3eU0mk0yZMkW8vb0FkHTp0snMmTPFZO+2SIrFsWPHBBBPT0/VyiSBhg0bJoC0atXKZnM828pEtcWyL3U0r73Vrw+ennD1Khw5YvPpdu3aRalSpZg2bRoGg4EvvviCffv2UaxYMZvPrSjWVLhwYT7++GMA+vfvT2xsrM3nfPDgAa1ataJnz56EhYVRvXp1jh8/TseOHVUzbh2pViaJZ14527RpEzExMTaZY8uWLURHR/PGG29QuHBhm8yhxE0Vdfbm5QXm5WgbbsHGxMQwZMgQqlWrxpUrV8iTJw9bt27lxx9/VL3nlGTr22+/xcfHh1OnTvHXX3/ZdK61a9dSokQJli1bhqurK6NGjSIgIIA8efLYdF7l9dTWXuKVK1cOPz8/QkJC2L17t03mePbzo/74sS9V1OnBfFKCjYq6s2fPUrlyZb7//ntMJhOdO3fm2LFjVKtWzSbzKYq9ZMyY0XIG7DfffGOTFidPnjzho48+olGjRty7d49ixYqxf/9+Bg8ejLOzs9XnUxImJCREtTJJAlu3NhHVykRXqqjTQ+PG2hUlzpzR3qwoODiYSpUqcejQITJmzMiCBQuYPn066dOnt+o8iqKX3r17U6xYMR49emTpYWdN3bp1Y8KECQB8+umnHDx4kFKlSll9HiVxNm3aRGxsLAULFiR//vx6x0mWbNna5Ny5c1y9ehU3Nzdq1apl9fGVV3PMa+6kdOnTQ9u24OICVm5Smj59er788ksCAgL4559/yKHOUFZSGBcXF8aOHcvgwYNpaj6b3Iq+/fZbDh06xMSJE6lbt67Vx1eSJlOmTLRs2VIdF5wE9evXp2TJkjRo0ACj0Wj1FehOnTphNBpVKxMdGERE9A6hWJfJZAJQXe2VFM1kMtnsazw2NtZhrzOrKIryMqqoUxRFURRFSQHUUo6iKIqiKEoKoIo6RVEURVGUFEAVdYqiKIqiKCmAKuoURVEURVFSAFXUKYqiKIqipACqqFMURVEURUkBVFGnKIqiKIqSAqiiTlEURVEUJQVQRZ2iKIqiKEoKoIo6RVEURVGUFEAVdYqiKIqiKCmAKuoURVEURVFSAFXUKYqiKIqipACqqFMURVEURUkBVFGnKIqiKIqSAqiiTkexsbF6R1AURbEJEdE7gqKkOqqo00FMTAzffvstNWrUcMzC7uRJ6NULbt3SO4nyjODgYDZt2sR3331Hu3bt+PLLL1m+fDl3797VO5qiPOfYsWP4+/szYcIEvaO84N69e3z22WcMHTqU0NBQveMocZg5cybff/+9+sMgEQyiPmp2df78eTp27MiBAwcAWLRoEa1bt9Y51X80bAjr1kGnTjBjht5pUiWj0ciZM2fYu3ev5e306dMv/SH3xhtvUKlSJctbqVKlcHd3t3NqRdH07duX8ePH06ZNGxYuXKh3HACio6MZP348I0aMICQkBICsWbMyatQoOnbsiJOTWuNwBCEhIfj6+hIbG8vOnTt566239I6UrKiizk5EhMmTJ9O/f3+ePHlChgwZmDhxIu+++67e0Z4XFASZM0NMDLi6wo0bkCWL3qlSvAcPHrBv3z5LAbd///44VxHy5ctHpUqV8Pf359KlS+zdu5eTJ0++UOy5ublRpkyZ5wq93LlzYzAY7PWSlFQqMjKS7NmzExgYyLp166hfv77ekVi3bh39+vXj3LlzAJQtW5bg4GAuXrwIQMWKFRk/fjzly5fXM6YCLFmyxLLQ8fXXX/Pdd9/pnCiZEcXm7t69K02aNBFAAKlVq5Zcv35d71hxmzVLBJ6+jRihd6IUJzo6Wg4cOCDjx4+X9957T/Lnz2/52nj2zdvbW2rVqiVfffWVrFixQu7duxfneMHBwbJp0yb57rvvpEmTJuLn5xfneFmzZpUWLVrITz/9JFu3bpWoqCg7v3IlNZgzZ44Akjt3bomNjdU1y4ULF6Rp06aW74HMmTPL33//LUajUSIjI2XUqFHi7e1tub979+5y9+5dXTOndj179rR8PsqUKaN3nGRHFXU2tmLFCsmUKZMA4ubmJmPGjBGj0ah3rJdr1Uor5t58U/s3WzYR9cvfqmrUqBFn0VW0aFHp1q2b/Pnnn3Ls2LFE/0I0mUxy8eJFmTVrlnz88cdSrlw5cXFxeWG+fPnyyZYtW6z74pRUr1atWgLI0KFDdcsQGhoqX3zxhbi5uQkgLi4u0r9/fwkKCnrhsbdu3ZJOnTpZvi/SpUsnY8aMUX/06MBkMkmOHDme+zl1584dvWMlK6qos5HQ0FB5//33LV+YJUqUkGPHjukd69XCw0U8PbVibt8+kaxZtdtz5+qdLEXp37+/ZMyYURo2bCjDhw+X9evXS2BgoE3nfPLkiezcuVN+/vlnadOmzXOreX369JGQkBCbzq+kDpcuXRJADAaDXL161e7zm0wmmTlzpmTLls3y9V2/fn05c+bMa5+7e/duKVu2rOV5hQsXlrVr19ohtWJ2/PhxAcTT01OKFy8ugEybNk3vWMmKKupsYO/evVKgQAHLD4cBAwZIRESE3rFeb/FirYjLm1fEZBIZNkz7f+XKeidLuHPnRA4f1jtFnMLDw8VkMumaITg4WD744APL12ju3Lll3bp1umZSkr+vv/5aAKlXr57d5z5w4IBUrlzZ8jWdP39+WbFiRYK+14xGo/z999+SOXNmyzhNmzaVCxcu2DC5YjZq1CgBpFGjRpavpXbt2ukdK1lRRZ0VxcTEyLBhw8TZ2VkAyZkzpwQEBOgdK/7ee08r4gYM0P5/546Iq6v2vgMH9M2WEMHBIhkziri5iTjqsYsOIiAgQPLmzfvcMUW2XjVUUqaYmBjJnj27ALJgwQK7zXvv3j3p0aOHGAwGASRNmjTy448/SmRkZKLHDAoKkv79+1sOW3Bzc5MvvvhCQkNDrZhc+S/zoSnjx4+XnTt3CiAZM2aUmJgYvaMlG6qos5ILFy5IxYoVLb8c3333XXn8+LHeseIvKkokXTqtgNu16+n7zYVe5876ZUuoX399eqLHr7/qncbhhYWFyaeffmr5pZgtWzZZsWKF3rGUZGbVqlUCiJ+fX5IKqviKjo6WcePGSfr06S0/dzt27Cg3b9602hynT5+WevXqWcbPnj27zJo1S/eV9pQoODjYUkRfvHhRYmJiJEOGDALIrmd/JymvpFqaJJGI8Pfff9OvXz/Cw8NJnz49EyZMoEOHDnpHS5h167T+dNmywc2bYO7ZtH8/VKwIbm5ae5PMmfXN+TomExQuDP+2KqB6ddi6VddIycWuXbvo3r0758+fB6BDhw78+uuv+Pn56ZxMSQ5atmzJsmXL+Oyzzxg7dqxN59qwYQP9+vXjzJkzgNai5LfffqNKlSpWn0tEWLlyJZ999hmXL18GoEqVKgwZMoR06dJZfb74cnd3p3Tp0jg7O+uWwZqWLl1Kq1atKFiwoOVnULt27ViwYAFDhgxh5MiROidMJvStKZO3e/fuSbNmzSx/xdWoUUOuXbumd6zE6dVLW9n68MMX76tQQbtv5Ej750qoNWu0rGnSaP86OYm8pBWI8qInT57I4MGDxcnJydICYuHChXrHUhzcnTt3LKssJ0+etOlco0ePtvzMzZQpk/z11192aZ0SEREhP/zwg3h5ecV59roeb1999ZXNX7e99OrVSwDp27ev5X3//POPAFK2bFkdkyUvaqUukVavXk337t25f/8+rq6u/PDDD/Tv3z95diU3GrUVugcPYNMmqF37+ftnz4aOHSF7drh6VWtK7KjMV8P47DPYsQMOHoTJk7XLninxduDAAbp168apU6cAaN26NX/88QdZVCNqJQ6jR4/m888/p1KlSuzZs8emc129ehV/f3969OjB0KFDyZAhg03n+69bt24xZMgQdu3aZdd5nxUdHc21a9fIli0bN27cSPardSJC7ty5uXnzJmvXrqVBgwYA3L17l2zZslluq58/8aBzUZnshIWFPXfWYPHixeXo0aN6x0qarVu1VS0fH5Ho6Bfvj4oSyZJFe8y8efbPF1/nzmkZDQaRixdFfvhB+3+DBnonS5YiIyPl22+/tazA+Pj4yMyZM9XxRMpzTCaTFCpUSACZMmWKXeZMVscr20BUVJTleLOtW7fqHSfJTpw4IYB4eHjIkydPnruvdOnSAsj06dN1Spe8JMNlJf0cOHCAMmXKMGnSJAD69evHwYMHKVmypM7JkmjJEu3fZs3iXoVzc4MPPtBu//ab/XIl1O+/a/82bgz580OrVtr/AwK0y58pCeLu7s7w4cM5cOAApUuX5vHjx3Tq1IlmzZpx69YtveMpDmLnzp2cP38eb29v2rVrZ5c5M2bMaJd5HJWbmxut/v35Nm/ePJ3TJN3atWsBqFmzJp6ens/d17Bhw+ceo7yaKuriITY2lpEjR1KlShXOnz9Pjhw52LhxI+PGjcPDw0PveEkj8rSoMxdBcendWyv4du+GQ4fsky0hQkJg2jTtdt++2r+FC0OxYtp1bFev1i1acleqVCn27dvH999/j5ubG6tWraJYsWJMnz5d72iKA5gyZQqgHdTu7e2tc5rUw1xAL1q0iNjYWJ3TJI25YDMXcM8yv2/Dhg0YjUa75kqW9F4qdHQXL158rqHlO++8I48ePdI7lvXs369tUXp7i7yuQXKHDtpju3SxS7QE+e03LVuRIlrjZLNvvtHe37KlftlSkFOnTj3Xumfy5Ml6R1J0FBQUJJ6engLInj179I6TqsTExFiuDLN+/Xq94yRaSEiIuLq6ChBnk+dnW5vs3r1bh4TJi1qpewkRYerUqZQqVYo9e/aQLl06Zs6cybx58/Dx8dE7nvWYV+kaN4bXrTqaV8DmzoX7922bKyFMJhg/Xrv9ySdgMDy9z7z6uG4dhIfbP1sKU6xYMXbt2sXAgQMB+OCDD1hi/hpSUp25c+cSERFBsWLFqFixot5xUhUXFxfatm0LJO8t2ICAAGJiYihQoAAFChR44X4XFxfq1q0LqC3Y+FBFXRwePHhAq1at6NGjB2FhYVSrVo3jx4/TsWNHDM8WDMmdCCxerN1+1darWcWKUL48REfDX3/ZNltCbNgAFy5AunTQufPz95UsCXnzQkQErF+vT74UxtnZmdGjR9OzZ09MJhPt27dnq+oFmCqZt1579uyZsn42JhPmLdglS5YQFRWlc5rEedXWq5k6ri4B9F4qdDRr1qyRLFmyCCCurq4yatQou/RA0sWJE9rWpLu7SHwv6D5zpvac7NnjPlNWDw0bapn69Yv7/gEDtPvfe8++uVK4mJgYadGihQCSNm1aOeyg19pVbOPIkSOWn5MPHjzQO06qFBsba7k0W3K8CozJZJJcuXIJIGvWrHnp427fvm055OOe6jv6Smql7l9Pnjzho48+olGjRty7d49ixYqxb98+Bg8enOx7AL2UedusXj1ImzZ+z2nbFrJkgdu3YelS22WLrwsXYO1abcv1o4/ifox5FXLlSm2VUbEKFxcX5s6dS/Xq1QkNDaVBgwZcNF/JQ0nx/v77bwBatGihrjqiE2dnZ9555x0geW7Bnj59mhs3buDh4UGNGjVe+rhs2bJRqlQpANarHZdXUkUdcOjQIcqUKcOECRMA6Nu3LwcPHqR06dI6J7Ox+Jz1+l/u7tqZsOAY7U3MbUwaNYI4jscAoFIlrblySAhs3my/bKmAh4cHy5cvp2TJkty/f5/69etz584dvWMpNhYREcGsWbMAbetV0Y95C3bFihU8efJE5zQJs2bNGgBq1KjxQiuT/1JbsPGTqos6o9HI999/T6VKlTh37hzZsmVj/fr1/Prrr6/9Akv2Ll2CY8fA2VnrT5cQH3wALi6waxccPmybfPERGgr//KPdNp/EERcnJ2jZUrttPoZQsZr06dOzbt068uXLx+XLl2nYsCHBwcF6x1JsaOnSpQQFBZE7d27q1Kmjd5xUrWLFiuTJk4ewsDBLkZRcxOd4OjPzY9avX69am7xCqi3qrly5QvXq1RkyZAixsbG0adOGEydOUK9ePb2j2Yd5la5mTUjo2bzZsmnbsPD0rFM9TJ+uFXaFC8PrfrGYVyOXLdMui6ZYVdasWdmwYQNZsmTh2LFjNGvWjMjISL1jKTZiPkGie/fuyfPSiCmIwWDg3XffBZLXFmxoaCg7d+4E4lfUVa5cmfTp0/P48WMOHDhg63jJVqr7bhQRpk2bRsmSJdm1axdp06Zl+vTpLFiwAF9fX73j2U9itl6f9Wx7kwcPrJMpIUymp1uvn3yirca9SrVqWvH68CH8+4NEsa78+fOzbt060qVLx/bt22nfvn2yb4qqvOjSpUts2bIFg8FAt27d9I6j8HQLdvXq1YSGhuqcJn7MrUzy589PwYIFX/t41dokflJVUffo0SPatGlDt27dCA0N5a233uLYsWN07tw5dZ2Of+sW7N2rnVzQosUrHyoiPAh/wOkHpzl4+yD7b+3nyJ0jXCjgw4MqJTFGR+nT3mTjRjh3TjvB479tTOLi6vp0m1n1VbOZUqVKsXz5ctzd3Vm2bBkffPABIqJ3LMWKpk6dCkC9evXInTu3zmkU0L7vChUqRGRkJCtWrNA7TrwkZOvVzPzY5LbNbE8GSSU/cdevX0+3bt24c+cOLi4ujBgxImWf2foqf/wBH38MVapox8X9x9G7R1lyZglbr27l6N2jhEa//C8/g4BvpBNZcxcla9psZPXOSpY0WcjklQlfL18yemQknXs6vN288XDxwM3ZDWcnZwwYMIqRGGMMUcYoImIiCI8JJzw6nNDoUEKjQgmJCiEsOkx7iwnjScwTImIiiDZGE3v0MPLoEeTMiUvhIrg7u+Pp6kka1zSkd0+Pj6cPfl5+ZE6TmcxpMpPVOytZdx4hXcv2GHLmhOvXn29S/Iyw6DB239jN+ovr+bra1/h4pqBm03aydOlS2rRpg8lk4ssvv+SHH37QO5JiBbGxseTJk4fbt2+zcOFC2rRpo3ck5V9Dhw5lxIgRNGnShJUrV+od55VEhDx58nDjxg1Wr15No0aN4vW827dvkyNHDgDu3btH5syZbRkzWUrxRV1ERASDBw/m93+36ooUKcKsWbMoW7aszsl0VLu2dhbozz/DgAGA9k225sIaRmwfwf5b+194SkaPjHi7eeNkcCLaGE1YdNgriz1H5R4LmcPBL1dh0vtkI41rGlycXIgxxRAcGczNkJtcD76OoH1bzG8zn3eKv6Nz6uRpypQp9OrVC4Bx48bRr18/fQMpSbZq1SqaNm2Kn58ft27dws3NTe9Iyr9Onz5N8eLFcXV15d69e2TMmFHvSC916tQp3nzzTTw8PHj06BFeXl7xfm7p0qU5evQoM2bMoFOnTjZMmTy56B3Alg4fPkzHjh05c+YMAB9//DGjRo1K0BdQivPwIWzbpt3+93i6O6F36LWyF6svaBe9d3N2o0mhJjQq0IhKOStRwKcA7i7uLwwVa4rl0bDB3Js8jnsVi3NnxGDuhd3jXvg9Hjx5wOOIxwRGBBIcFUx4dDgRsRHEGGMwinaigrPBGVdnV9yd3fFw8SCNWxrSuKYhrXta0rr9++aeFm83b7zdvEnjmkZb7Zu3ANe1G3AqVRrT54OJNcUSbYzmScwTwqLDCI4M5nHEYx5GPOR++H3uhd3jbthdQqNDiXKBG+nhRsg5CDn30g9T7vS5qZO3Dm9keMO6H/9UpGfPnjx48ICvvvqKzz77jEyZMvHee+/pHUtJAvMJEp07d1YFnYMpVqwYJUqU4MSJEyxdupTu3bvrHemlzFuvNWrUSPDv44YNG3L06FHWrl2rirq46Nb22IZiY2Plxx9/tFwkOGvWrLJ27Vq9YzmGv//Wrq5QurSIiOy9sVey/C+LMAxxG+kmgzYMknthCejYfeuWiIuLNqY9rigQEiKSLp0237p1CXrqk+gncmXmeNmXA1lTLZvMOT5b/j78t0w+OFmmHp4qC08tlJ3Xdibs9SuvZDKZ5NNPPxVAXFxcXtk1XnFsd+7cEWdnZwHk1KlTesdR4vD9998LIHXr1tU7yivVqlVLAPn1118T/Nzt27cLID4+Pin3ak9JkOKKuitXrsjbb79tuaRIq1at1CVsntW4sVYQjRwpAZcDxPM7T2EY8uaEN+XkvZOJG/Pdd7Uxu3Wzbta4/P67NlehQiJGY8KfHxKiXRYNtMukKTZnNBqlQ4cOAoiXl5fs2bNH70hKIvz0008CSOXKlfWOorzExYsXBRBnZ2eHvZxWSEiIZcHl/PnzCX5+TEyMpE+fXgD1syQOKebsVxFhxowZ+Pv7s2PHDry9vZk6dSqLFi1Sl7AxCwnRzhoFDtUsTLO5zYiIjaB+/vrs6bGH4pmLJ25cc3uTOXO07V1bSWgbk7ikTatdFg3UWbB24uTkxD///EODBg148uQJjRs35vTp03rHUhJARCyXBVNXkHBc+fPnp1y5chiNRhY7aKP1zZs3J6iVyX+p1iavliKKusePH9OuXTu6dOlCaGgoVapU4dixY3Tr1i11tSp5nTVrIDqaeyXz02xfP8Jjwqmbry7L3l2Gt5t34setVAnKlYMoG7c32bQJzp7VCrMuXRI/jrk3nyrq7MbNzY1FixZRsWJFHj9+TP369bl+/bresZR42rFjBxcuXMDb29tyrVHFMZkbEc+fP1/nJHFLTCuT/1KXDHu5ZF/Ubdy4kRIlSrBw4UJcXFz47rvv2LZtG/ny5dM7muNZsgSTATo3N3E79DZF/Yqy6J1FeLh4JG1cg0FbOQOYMAFs1XDWfPWKbt20wi6xmjbVLo927Jh2uTTFLtKkScPq1aspWrQoN2/epF69egQFBekdS4kH8wkS7777Lt7eSfgDULE5c9G9fft2bt26pXOa54mIVYq6Bg0aAHDw4EEe6NH83oEl26IuIiKCfv36Ua9ePW7fvk3hwoXZs2cPX3/9NS4uKfqk3sSJiIA1a5hcFjY4XcHTxZPF7ywmnXs664zfrh1kzgw3b2qX4rK2ixdhtXZ2Lh9/nLSxfH21y6OBWq2zM19fX9avX0+uXLk4d+4cgwYN0juS8hpBQUEsWrQIUFuvyUGuXLl46623EBEWLlyod5znnDlzhuvXr+Pu7k6NGjUSPU727NkpWbIkIsL69eutFzAFSJZF3dGjRylfvjy//vorAB9++CGHDx+mXLlyOidzYBs2cNcQzuf1tO3on+r8RNFMRa03vrs7vP++dvu336w3rtkff4AINGwIiTgO4wVqC1Y3uXLlYvbs2YC2AhQQEKBzIuVV5s6dS0REBMWLF6dChQp6x1HiwVG3YJPSyuS/1BZs3JJVUWc0Ghk9ejQVKlTg1KlTZMmShdWrV/PHH3+k7t5z8bFkCUNqQYibUC57OT4q/5H15/jgA3BxgR074OhR640bFgb/XprIclJGUrVooW0b792rXTZNsau3336bjz7SvgZ79epFeHi4zomUl3n2BAl1jHLy0KZNG5ycnNi7dy9XrlzRO46FNbZezcxjrF+/HqPRmOTxUopkU9Rdu3aN2rVr8/nnnxMTE0Pz5s05ceJEvC8vkqrFxHB651Kmltb++2uDX3F2ssHl0XLkgNattdvm49+sYcYM7czdQoWenrmaVNmyQeXK2m1bbBcrr/Xjjz+SO3durly5wtdff613HCUOR44c4dChQ7i6utKxY0e94yjxlDVrVsv25oIFC/QN86+wsDB27NgBWKeoq1y5MunSpePRo0ccPHgwyeOlFA5f1IkIs2fPxt/fn23btpEmTRqmTJnC0qVLyZQpk97xkoetWxlRJhQxQIvCzamSq4rt5rJ2exORpwXixx8nro3Jy5i3YB301P+ULm3atPz179nSv/32G7t379Y5kfJf5lW6li1bqtZQyYyjbcFu3ryZ6Oho8uXLl6hWJv/l6uqqWpvEwaGLusDAQNq3b0/Hjh0JCQmhUqVKHDt2jB49eqhtgAS4sHwqC/5tQTesxnDbTla5MpQtC5GR2nbs8eNJG89abUziYi7qtm2zbX895aXq1atH165dERF69OhBZGSk3pGUf0VERFiOfVQnSCQ/rVq1wsXFhSNHjnDu3MsviWgvz269Wuv3tzqu7kUOW9QFBATg7+/P/PnzcXZ2ZsSIEezYsYP8+fPrHS15MRoZe385YoDGGSpQMmtJ285nMMDnn2u3Fy+GkiWhQgWYPFnbQk0o8ypd166Qzkpn6prlzQulS2tNjVessO7YSryNHTuWrFmzcvbsWUaOHKl3HOVfS5YsISgoiDx58lC7dm294ygJ5Ovra1nJ0nu1TkRYs2YNYJ2tVzNza5MDBw6o1ib/criiLjIykv79+1OnTh1u3rxJwYIF2b17N998841qVZIIQds3MKNgBAADGtnpF2bbttqVK1q31k6cOHAAevfWjmPr1g127dK2VV/n8mVYtUq7ndQ2Ji+jzoLVXcaMGZkwYQIAo0aN4siRIzonUuDp1mv37t1xsuZhD4rdmLdg582bh8TnZ66NPNvKpKa5nZQV5MiRA39/f0SEDRs2WG3c5MyhvlOPHz9O+fLlGTduHAC9e/fmyJEj6jT6JJixfjRP3KB4dHpqFKhrv4nr1IFFi7QzS3/+GYoUgSdPYNo0qFoVihbV3n///svHeLaNSaFCtslpLuo2bkzcSqJiFS1btqRt27YYjUa6d+9OTEyM3pFStYsXL7JlyxYMBgNdu3bVO46SSM2bN8fNzY0zZ85w8uRJ3XKYt0erV69u9U4Vagv2eQ5R1JlMJsaMGUP58uU5efIkmTNnZuXKlUyaNIk0adLoHS/ZEpOJKRG7AOiT9x19jkPMnBkGDIDTp7UVum7dwMsLzp2DQYOenjG7di08e1p6WBj8u1JguVqFLRQtCoULQ3S0dhk1RTfjx4/Hx8eHo0eP8r///U/vOKmWyWRixIgRANSvX5/cuXPrnEhJrPTp01s6ROi5BWvNVib/9WxrE5PJZPXxkx3R2fXr16VmzZoCCCBNmzaVe/fu6R0rRTgYMEsYhrgPQR4/uql3nKeCg0X+/FOkQgURbS1Oe8uZU+Sbb0SuXBGZMEF7X8GCIkajbfN8+aU2V5s2tp1Hea2ZM2cKIG5ubnL69Gm946Q60dHR0rFjRwHEYDDI+vXr9Y6kJNG8efMEkPz584vJZLL7/KGhoeLm5iaAnD171urjR0dHS7p06QSQffv2WX385EbXom7OnDmSIUMGAcTLy0smT56syxddSvXZNxWEYUi7fjn1jvJyx46J9O0r4uPztLgzGETSpNFu//qr7TMcOKDN5eUl8uSJ7edTXspkMkmjRo0EkMqVK0tsbKzekVKNiIgIadq0qQDi4uIic+bM0TuSYgVhYWHi5eUlgBw4cMDu8y9fvlwAyZs3r81+v7dq1UoAGTZsmE3GT0502X4NCgrivffeo0OHDgQFBVGhQgWOHj1Kr169VKsSKzGajMyLPgxAh6Lv6JzmFfz94ddftWPv5s6F2rW10i48HLy9tbNeba1sWcidWzvmTx1sqyuDwcCkSZNImzYte/bs4ffff9c7UqoQGhpKw4YNWblyJR4eHixdupT27dvrHUuxgjRp0tC0aVNAny1YW7Qy+S91XN0z7F1Fbt68WXLlyiWAODs7y9ChQyU6OtreMVK8rVunC8OQDJ8jkY/u6x0nYS5dEhk9WmTLFvvN2a+ftlrXubP95lReatKkSZYV/EuXLukdJ0V78OCBlCtXTgBJmzatbN26Ve9IipUtXbpUAMmVK5cYbX04yzNMJpPkyZNHAFm5cqXN5rlx44blkIEHDx7YbJ7kwG5FXWRkpAwcOFAMBoNlf3/Pnj32mj7V+XR4ZWEY0uWjHHpHSR62b9eKugwZRNQfGbozGo1So0YNAaR27drqsAwbuXnzphQrVkwA8fX11WV7TrG9iIgIy3FnO3futNu8p0+fthwjGxYWZtO5/P39BZBZs2bZdB5HZ5ft1xMnTlChQgV+/vlnRIRevXpx9OhRKlWqZI/pUx0RYWn4IQBaFWmpc5pkokoV7UzdoCDYulXvNKmek5MTU6ZMwdPTk4CAAEvPNMV6Ll26RNWqVTl9+jQ5cuRg+/btlCtXTu9Yig14eHjQokULwL5bsObt0Bo1ati8k4XagtXYtKgzmUyMGzeO8uXLc/z4cfz8/Fi+fDmTJ0/G29vbllOnasePrOW6VzSeMVC39SC94yQPzs7w7w89dS1Yx5A/f36+++47AAYMGMCtW7d0TpRynDhxgqpVq3L16lXy58/Pzp07KVasmN6xFBtq164dAAsWLMD4bPsoG7JlK5P/Uq1NNDYr6m7evEm9evXo378/UVFRNG7cmJMnT9KsWTNbTan8a/V67eDy2sG+eGZTPabizdyIeNmy53vmKbr59NNPqVChAiEhIfTp00fXrvgpxd69e6levTp3796lRIkS7Ny5kzfeeEPvWIqN1alTBx8fH+7du8e2bdtsPl9YWBjbt28H7FPUValShXTp0vHw4UMOHjxo8/kclU2Kuvnz51OiRAkCAgLw9PRk4sSJrFy5kixZsthiOuU/Vt/fCUDj3Op6jQlSsyZkyAD37sGePXqnUQBnZ2emTp2Kq6srK1euZN68eXpHStY2bdpEnTp1CAwMpHLlymzbto2sWbPqHUuxAzc3N1q3bg3YZwt2y5YtREdHkzdvXgrZ6opAz3B1daVOnTpA6t6CtWpRFxwcTKdOnXj33XcJCgqiXLlyHDlyhA8++EC1KrETY3QUGfDEPRYaNe2vd5zkxc0N/j31X10L1nEUL16cIUOGANC3b1914e5EWrp0KY0bNyY8PJy6deuyceNGMmbMqHcsxY7MW7CLFi2y+aX47NHK5L/UcXVgECvtZ2zbto3OnTtz/fp1nJyc+Prrr/nmm29wdXW1xvBKAkUEPcQzg5/eMZKfZcugZUvIkweuXAH1x4hDiI6Oply5cpw4cYJ3332XuXPn6h3pBSaTidOnT7Nz504OHDhApkyZqFq1KlWqVMHHx0fXbNOmTaNHjx6YTCZatWrFnDlzcHd31zWTYn9Go5EcOXJw79491q5dS4MGDWwyj4iQL18+rl69ysqVK2nSpIlN5vmvmzdvkitXLgwGA/fv38fPLxX+Dkzq6bORkZEyePBgS6uSfPnyye7du5M6rKLoIzxcu7IEiBw8qHca5RkHDhwQJycnAWT58uV6x5GIiAjZvn27/PDDD9KoUSPL1XHieitevLj07t1bZsyYIZcvX7Zri5ZffvnFkqNr164SExNjt7kVx/Pxxx8LIF26dLHZHGfOnLFbK5P/KlGihAAye/Zsu87rKJJU1J08eVJKlixp+YHRo0cPCQkJsVY2RdFH69ZaUffVV3onUf5j8ODBAki2bNkkMDDQrnM/fPhQVqxYIYMHD5YqVapYrmf57JuXl5fUrl1bvv76a+nevbsULlw4ziIve/bs8s4778hvv/0mhw8ftkmhZTKZZNiwYZY5+/XrZ9fGs4pj2rFjhwCSLl06iYiIsMkcY8eOFUDq1q1rk/FfxfwzomPHjnaf2xEkqqgzGo3yyy+/iLu7u6Vp5dKlS60cTVF0Mnu2VtQVKaJ3EuU/njx5IgULFrT8EWkrJpNJLl26JNOnT5devXpJ0aJF4yzOsmTJIm3atJFx48bJgQMH4rw6zr1792Tp0qUyYMAAqVixori4uLwwjre3t9StW1eGDx8uAQEBSV7dMBqN8umnn1rGHz58uGrgrIiI9rWRM2dOAWTZsmU2maNu3boCyNixY20y/qts2bJFAMmUKVOq/CMmwcfU3b17l86dO7Nx40ZAOzDx77//Jlu2bAkZRlEcV0gIZMoE0dFw+jQULap3IuUZO3bsoFq1agBs3LjRcsabtYwdO5aff/6ZO3fuvHBf0aJFeeutt6hatSpVq1YlX758CT4I/MmTJxw4cICdO3eyc+dOdu/eTUhIyHOPcXZ2Jlu2bIk+wDwmJoa7d+8C8Ouvv9K3b99EjaOkTAMHDmTMmDE2OT41LCwMX19foqOjOXPmDEWKFLHq+K8TExODr68voaGhZM+eHWdnZ7vOb01OTk5cvXo1YU9KaBV4//59yZIli3h6esoff/yh/vpTUqZGjbTVul9+0TuJEoePPvpIAHn//fetPva4ceMEEFdXV6lcubIMGjRIli9fbrNrSsbGxsqxY8fkjz/+kPbt20vu3LlfemxeQt5cXFxk+vTpNsmsJG/79++37LJZ+9rrGzZsEEDeeOMN3eqDbt26WeV7SO83JyenBL/2RJ39un37djJnzmz3ClxR7ObwYXBxgRIl1BmwDig0NJRVq1bx7rvvWr1dwq1bt7h8+TLlypXD09PTqmPH140bN7h//36SxsiZM6fqDarESURYvHgx9evXJ23atFYf//Lly9y4cYPq1atbfez4iI2N5dSpU8TGxuoyvzWVLVs2QY+3WksTRVEURVEURT82vfaroiiKoiiKYh+qqFMURVEURUkBVFGnKIqiKIqSAqiiTlEURVEUJQVQRZ2iKIqiKEoKoIo6RVEURVGUFEAVdYqiKIqiKCmAKuoURVEURVFSAFXUKYqiKIqipACqqFMURVEURUkBVFGnKIqiKIqSAqiiTlEURVEUJQVQRZ2iKIqiKEoKoIo6RVEURVGUFEAVdYqiKIqiKCmAKuoURVEURVFSAJfEPGn79u1kzpyZIkWKWDuPYgWnT58mIiIiSWN4eHhQtGhRnJxU3a+368HXefTkEUX8iuDp6ql3HEV5rcjISJYvX06rVq1wdXW16tiBgYFcvnw5yeO88cYb+Pr6WiFRwkVFRXH69GlMJlOix3B3d6dYsWIO9zM6MjKSU6dOJXmc3LlzkylTJiskSjgR4dy5c4SHh+sy/7PKli2bsCdIAt2/f1+yZMkinp6e8vvvv4vJZEroEIqNlShRQoAkv+XKlUsGDRokR44cUZ9nHdwJvSP1Z9YXhiEMQ7x/8JbhW4dLdGy03tEU5ZX++ecfAaRy5cpWH3vx4sVW+fnm7OwsDRo0kBkzZkhISIjVc/5XbGysbNy4Ubp37y7p06e3ymsYNmyYzXMn1JkzZ6zy2tKmTSv379/X5TVMnDjRKq8hqW9OTk4Jzm4QEXlV0fdfd+/epXPnzmzcuBGABg0aMHXqVLJly5aQYRQbqlevHmfPnk3SGI8fP37ur5QiRYrQoUMH2rdvT4ECBZIaUXmNoMggKk6pyPlH53EyOJHePT2BkYEA1M9fnyXtluDl6qVzSkV5kYhQtmxZjhw5wqhRoxg8eLBVx1+7di29e/dO0hhGo5Hbt29b/u/h4UHTpk3p0KEDDRs2xN3dPakxAe1jsX//fubOncv8+fO5e/eu5b6MGTPi7e2dqHGjoqK4f/8+RYoU4cyZM1bJai0XL16kVq1aSRrjwYMHREZGMm3aNLp06WKlZPFXvXp1tm/fjp+fH56e+u2OODk5cfXq1YQ9KTFVrNFolF9//VXc3d0FEF9fX1myZElihlIcVEREhCxevFjatGlj+Tyb38qXLy/jxo2T27dv6x0zxeqwuIMwDMk1NpeceXBGTCaTzD4+W7y+9xKGIU3mNJFYY6zeMRXlBTt37hRAPDw85OHDh3rHealz587J8OHDpXDhws/9fEufPr10795dNm3aJLGxifseO3XqlAwZMkTy5cv33Ng+Pj7Su3dv2bZtmxiNxkRnDwwMFGdnZwHkypUriR7HUX399dcCSLt27ew+d1BQkOVje+nSJbvPn1SJKurMTp48KaVKlbJ8wXbv3t0uy9iKfQUHB8u0adOkfv364uTk9NzScO3atWXKlCny+PFjvWOmGLuv7xaGIYZhBtl/c/9z9+24tkM8R7gLw5CvRtXTKaGivNw777wjgPTs2VPvKPFiMpnk0KFDMnDgQMmRI8dzRVjWrFnl008/lX379r32EJRr167JqFGjpGTJks+N4eXlJR06dJBVq1ZJVFSU1XJXrVpVAJkwYYLVxnQU5j8MMmbMKDExMXade9GiRQJIoUKF7DqvtSSpqBMRiYqKks8//1wMBoMAki9fPtm1a5c1sikO6O7duzJ+/HipXLnycz+43NzcpEWLFjJ//nwJDw/XO2ay1mxuM2EY0n1Z9zjvn9O9vFb0DUUCTq+yczpFebkbN25YVjmOHTumd5wEMxqNsnXrVundu7f4+Pg89zMuf/78MmTIEDl9+rTl8Q8ePJAJEyZYCizzm6urqzRt2lTmzp0rYWFhNsn6/fffCyBNmza1yfh6iomJkQwZMghg93qiR48eAsinn35q13mtJclFndm2bdskd+7clhWcIUOGSHS0OqA7Jbt8+bL88MMPL5yY4e3tLZ06dZLjx4/rHTHZufT4khiGGYRhyNkHZ198QEiIiIeH9GqqnTyRZ4SPhEaF2j+oosTBvG1WvXp1vaMkWVRUlKxcuVI6dOggXl5ez/2MK1WqlDRo0EBcXFws7zMYDFKjRg2ZPHmyPHr0yOb5Dh8+LICkSZNGIiMjbT6fvZlXfIcMGWK3OU0mk2W1dt26dXab15qsVtSJaHvRnTp1snyRlytXTs6ejeMXk5LiHD9+XL788kt54403nlu9+9///pekY0dSm+FbhwvDkHozX7K1OmuWCEioG/LGp1ph9+mavvYNqShxiIiIED8/PwFk0aJFesexqrCwMJkzZ440adLkuUIOkLJly8rPP/8sN27csGsmk8kkWbNmFUA2btxo17ntwXwGddmyZe0257FjxwQQT09PiYiIsNu81mTVos5s/vz5kjFjRssHZ8KECaolRiphMplk9+7d0qRJE8sPvZo1a8r169f1jubwTCaTFPm9iDAMmXZkWtwPatpUBET695f1pdIKwxCnYQY5fPuwfcMqyn9MmzZNQGuFZO/joOzp4cOHMnnyZBk1apTuixZdu3YVQPr3769rDlu4c+eO5XfI3bt37TLnTz/9JIA0atTILvPZgk2KOhGRmzdvSp06dSyflMaNG8udO3dsNZ3iYEwmk0yePNmybZE+fXqZM2eO3rEc2pkHZ4RhiNtINwmKCHrxAYGBIq6uWlF34oTIN99Iuzbaal2VKVWS1x9OJpP2pqQIJpNJypQpI4D8+OOPesdJNebPny+AFC1aVO8oNlG6dGkBZPr06XaZr3r16gLI+PHj7TKfLdisFXWOHDlYv34948aNw93dndWrV1OiRAmWL19uqykVB2IwGOjVqxdHjx6lYsWKBAcH06FDBzp06EBQUJDe8RzSuovrAKiWpxrpPdK/+IBlyyAmBooVgzffhI8+YswWN9JEw+6bu5l7cq59AydFjx6QMSNcuqR3EsUK9uzZw+HDh/Hw8KBnz556x0k16tati5OTE2fOnOHatWt6x7G6hg0bAlpvQlsLCQlh165dz82bHNn0+iJOTk7069ePgwcP4u/vz8OHD2nRogW9evUiLCzMllMrDqJgwYLs3LmTYcOG4ezszNy5c/H392fLli16R3M46y+tB6BB/gZxP2D+fO3fdu20f7NkIUerLny1Q/vv4I2DCY/W/7I2r3X6NPzzDwQHw9SpeqdRrOC3334D4L333sPPz0/nNKlHxowZqVy5MmCfwsfezMXVhg0bMBqNNp1r06ZNxMbGUrBgQfLnz2/TuWzJLheNe/PNN9m/fz+DBg3CYDAwZcoUSpUqxd69e+0xvaIzFxcXhg4dyq5duyhQoAA3btygdu3aDBo0iKioKL3jOYQYYwzbrm4DoF7+ei8+4NEj2LRJu20u6gAGDKD/HngjEG6F3mL0rtF2SJtEY8c+vT1/PiTsojaKg7l16xaLFi0C4JNPPtE5Tepjz9Use6tUqRIZMmTg8ePH7N+/36ZzmT9+yXmVDuxU1IF28eHRo0ezefNmcuXKxaVLl6hatSpDhw4lJibGXjEUHVWsWJEjR47Qq1cvRISff/6ZChUqcPLkSb2j6e7I3SNExEbg4+lD8czFX3zAkiUQGwslS0Lhwk/fX7gwHo2aMVq7ah//2/0/bobctE/oxLh7F2bO1G47O2vbr4cP65tJSZJJkyZhNBqpVq0aJUuW1DtOqtOoUSMAAgICUtwfyS4uLtSrp/2Ru2bNGpvNIyKWos788Uyu7FbUmdWoUYPjx4/z3nvvYTQaGTFiBG+99Rbnz5+3dxRFB97e3kyePJnly5eTKVMmjh8/Trly5fjll18wmUx6x9PNruvasRxVclXByRDHt6V56/Xdd1+8b+BA2pyGqjcMRMRG8MWmL2yYNIl+/x2io6FyZWjVSnuf+bUpyU5kZCR//vknoFbp9FKqVCmyZs1KeHg4O3fu1DuO1dljJfLkyZPcunULT09PqlevbrN57MHuRR1AhgwZmDVrFnPnziVDhgwcOHCA0qVLM3nyZERtxaQKzZo148SJEzRu3JioqCg+++wz6tWrx82bDrzKZEO7bmhFXdVcVV+88949MB+D+M47L95ftSqGChX4ZY1gEJh9Yjb7bu6zYdpECg+HCRO02wMHPt1GXrBAbcEmUwsWLODBgwfkzJmTFi1a6B0nVTIYDDRooB2Ha8vVLL2YX9uhQ4e4d++eTeYwF4w1a9bEw8PDJnPYiy5Fndm7777L8ePHqVWrFk+ePKF37940a9aM+/fv6xlLsZMsWbKwcuVKJk6ciKenJwEBAfj7+7NgwQK9o9ndwdsHAaiUs9KLdy5eDCYTlC8P+fK9eL/BAAMHUvYOdDnrDkDfdX0xiYOtfP7zDwQGQv780Lw5NGoE3t5w7Rrsc8AiVHklEbGcIPHhhx/i4uKic6LUKyUfV5c1a1ZKly4NwPr1620yR0o5ng50LuoAcuXKxcaNGxkzZgxubm6sWrWKEiVKsGrVKr2jKXZgMBj44IMPOHLkCOXKlSMwMJB27drRqVMngoOD9Y5nF4+ePOJasNaOoHS20i8+4L9nvcalZUvIm5cfVkfhbXBn/639zDg2wwZpE8lofHqCRP/+2vF0np7QrJn2PrUFm+zs3buXQ4cO4e7uTq9evfSOk6qp1iaJFxISYtm2VkWdlTg5OdG/f38OHDhAiRIluH//Pk2bNqV3796EhyeDFg1KkhUuXJjdu3fzzTff4OTkxKxZs6hUqVKqWLU9fEc7UaCgT0HSuad7/s7bt2HHvz1L4tp6NXNxgc8+I1sYDD2UFtBanARGBNoicsItXQpXroCvL3Tt+vT95kJ14UJtNVJJNlQbE8ehWpskXkBAQIpoZWLmEEWdmb+/P/v376d///4ATJ48mdKlS9v8VGbFMbi6ujJixAh27NhBzpw5OXv2LPXq1SMw0EEKExsxF3VlspV58c6FC7XjzapUgVy5Xj1Qt26QMSN9Vz+kqHtOHjx5wFcBX9kgcQKJwP/+p93+8EPw8np6X/36kD493LoF/zb+VBzf7du3VRsTB5OSt2Bt2dokJW29goMVdQAeHh6MGTOGgIAAcubMyYULF6hSpQojRowgNjZW73iKHVSpUoWAgACyZMnCsWPHaNiwIaGhoXrHspnj948DUDJLHO0g4rP1aubtDX364GaEibsyADDp0CR2Xtf5jLhdu2D/fnB3h48+ev4+d3cwH2CvtmCTjUmTJhEbG8vbb79NqVKl9I6j8LQoSamtTerWrQtYt2gVEcvJJaqos7FatWpx/Phx3n33XYxGI0OHDuXtt9/m4sWLekdT7KBQoUJs3LgRHx8f9u3bR7NmzYiIiNA7lk2cun8KgDczv/n8Hdevw5492okQbdrEb7CPPwY3N6qvOkn3HE0A6LGiBxExOn7sfv5Z+7dzZ8iS5cX7zQXrokXasXeKQ4uKilJtTBxQqVKlyJIli2ptkgDmViYeHh7JvpWJmcMWdaAdJzB37lxmz55N+vTp2bt3L6VKlWLKlCmq9UkqUKJECdatW0fatGnZunUrrVu3Jjo6Wu9YVmU0GTn78CzAi02HzWcBV6sG2bPHb8Bs2aBjRwB+3mAge9rsnH90ns83fW6tyAlz7hysWKHd/vewihfUqQM+Plrrlm3b7JdNSZQFCxZw//591cbEwTg5OVnaf6TELVjzazt48KDVjrV+tpWJp6enVcbUm0MXdWYdOnTg+PHjVK9enfDwcHr16kXLli158OCB3tEUGytfvjyrV6/G09OTtWvX8t5776WobfhLgZeIMkbh6eLJGxneeP7OhGy9Puvf4injolVMKTcSgPH7x7PqvA5nlI8bpx1T17QpFCkS92NcXVUj4mTi2TYmffr0wdXVVedEyrNS8nF12bJls2z1W6u1SUo7ng6SSVEHkDt3bgICAhg9ejSurq4sX76cEiVKpMhmi8rz3n77bZYuXYqbmxuLFi2iR48eKebqE+at16KZij5/JYlLl+DgQXBygtatEzZo8eJaDzgRGi44TN8KfQHovLQzlx5fslb017t/H6ZP124PHPjqx5oL18WLQV020GHt27ePgwcPqjYmDsrc2uT06dNcv35d7zhWZ82iNaW1MjFLNkUdgLOzM4MGDWL//v0UL16ce/fu0bhxYz788EOePHmidzzFhurXr8/8+fNxdnZmxowZfPLJJyliC/7co3MAFPUr+vwd5q3XWrUgc+aED2wuoqZOZXTZz6mQowKBkYE0m9fMpm1O7oTeYcOlDUw5PIVfJnRm4puRLGtSgIvFs73681WjBmTKBI8ewebNNsunJI15la59+/ZkypRJ5zTKf/n4+FCpktbAPCWu1pmLr/Xr1ye5tYm5lUmBAgUoUKCANeI5hGRV1JmVKlWKgwcP0q9fPwAmTpxI6dKlOXDggL7BFJtq0aIF06dPx2AwMGHCBL744otkX9hdeHQBgEK+hZ6/I7Fbr2Y1akCZMhARgfvkqSx5ZwnZ02bn9IPTNJ3blLDosMSHfoZJTGy/tp2+a/uS/7f8ZB+bnfqz6tNrZS8+M6znwybQstxFCv5eiFzjctF3bV+O3zv+4kAuLk9PBlFbsA7p9u3bLFy4EFAnSDiylLwFW7lyZdKnT8/jx4+T/Ps+JW69QjIt6kBrfTJu3Dg2btxI9uzZOX/+PFWqVOG7775LUcdcKc977733mDRpEgCjR4/m+++/1zlR0px/fB7QGg9bnDsHx45phY75WLOE+vfSYQCMH08ON1/WvreWDB4Z2HVjF3Vn1uXhk4eJzn0v7B4/7PiBAr8VoPq06ozfP57LgZdxMjhRxK8Ijdze5N0T0PKaF2WzlsHN2Y1bobcYv388JSeVpMGsBpZLo1mYC9ilS+E1J8Q8CH/AynMrk31Rn5z8+eefxMbGUrVqVcqUiaOnouIQnm1tktJOLLNWaxMRSbFFHZICPHr0SNq2bSuAAFK5cmW5ePGi3rEUGxo7dqzl8z1u3Di94yRalv9lEYYhB24dePrO4cNFQKRhw6QNHh0tkju3NtZff4mIyP6b+yXjTxmFYUiecXlk1/Vd8R7OZDLJjms7pP2i9uI6wlUYhjAMSfdjOumytIssP7tcgiODRWJjRQoW1Ob99VcREYmIiZBV51ZJ2wVtxXm4s+W5XZd1lfth97UJYmNFsmXTnrdy5Suz9F/XXxiG9FrRK3EfGyVBIiMjJXPmzALI/Pnz9Y6jvILRaLR8rgICAvSOY3V///23AFK+fPlEj3HixAkBxMPDQ548eWLFdPpLEUWdiPYLZ8aMGZI2bVoBxNvbW/7++28xmUx6R1NsZPjw4ZbCbvLkyXrHSbDgyGBLcRMUEfT0jmLFtMJm2rSkTzJ2rDZWkSIiRqOIiJy+f1ry/5pfGIYYhhmk27JucubBmTifbjKZ5OyDs/LD9h+k6O9FLXkZhlSaUkmmH50u4dHhzz9p6VJtzgwZREJDXxjz0uNL0nFJR8s4vqN8ZdaxWdr3at++2nM7dnzpS7oRfEPcR7oLw5C1F9Ym+kOjxN/MmTMFkBw5ckh0dLTecZTX6Ny5swAycOBAvaNY3a1btwQQg8Eg9+/fT9QYo0ePFkAaNGhg5XT6SzFFndmVK1fk7bfftvyyb9mypTx48EDvWIoNmEwmGTRokOUbfPbs2XpHSpBDtw8Jw5BMozM9feeJE1pR4+YmEhT08ifHV0iISPr0L6x+BUUESZelXZ4r0or/UVy6LO0iA9cPlL5r+kqLeS0k19hczz3G63sv6b6suxy6fejlc771ljbfl1++MtqeG3vEf6K/Zeymc5rKzYBl2nPTphWJiIjzea3mtxKGIVWnVlV/tNlJ+fLlBZDvvvtO7yhKPMydO1cAKV68uN5RbKJkyZICyMyZMxP1/Jo1awogv/67k5CSpLiiTkQkNjZWfvrpJ3F1dRVAsmbNKmvWrNE7lmIDJpNJ+vTpI4A4OzvLsmXL9I4Ub4tOLRKGIRX/qvj0nUOGaEVNs2bWm2jwYG3M6tVfuGvPjT3SbG4zcRru9Fzx9uyb6whXqTujrvx9+G9te/VVdu/W5nJ1Fbl9+7XRomOjZeS2kZbt3HQ/ppPx9TJIjBMiS5a88Pjx+8YLwxCXES5y5M6ReH4AlKTYu3evAOLu7p7olRHFvh49eiROTk4CyPXr1/WOY3VffPGFANKhQ4cEPzckJMRSG5w/f94G6fSVIos6s8OHD0vRokUtq3YfffSRhIeHv/6JSrJiNBqlU6dOAoibm5ts2LBB70jx8vOun4VhyLuL3tXeYTI9PRbNmquON2+KuLho4+7fH+dDHoY/lCWnl8h3276TAesHyBcbv5Bf9/4qmy9vltCoF7dQX6p1a22ebt0SFPHkvZNS4a8KlkKyyEfI3++Xt2xLh0SGyNcBX1vuH7VzVILGVxKvQ4cOAkiXLl30jqIkQOXKlQWQP//8U+8oVrdt2zYBxNfXV2JjYxP03KVLlwog+fPnt1E6faXook5E5MmTJ/LJJ59YCrsiRYrIwYMH9Y6lWFlMTIy0bt1aAPH09JTt27frHem1Plr9kTAM+WLjF9o7Dh/WCiIPD23b1Jo6d9bGbtfOuuM+6+JFEYNBm+fkyQQ/PdYYK3/s/0N8v09vKd6chjtJ1p+zissIF8v7+q/rr7Zd7eT27duWVQ31czN5GTFihADSokULvaNYXXR0tKRLl04A2bt3b4Ke+/777wsgH3/8sY3S6SvZtjSJL09PT3777TfWrVtHtmzZOHv2LJUqVeKHH35IcvNCxXG4uLgwZ84cGjZsSEREBI0bN+bgwYOvf6KOrgZdBSBvxrzaO8z92Ro3hrRprTvZgAHavwsXwtWr1h3bzHxJsIYNtataJJCzkzMflv+Qy/2vMeqQD0UeaH3w7obdJdYUSxG/Iixos4Ax9cdgMBhs8AKU//rzzz+JiYnhrbfeomzZsnrHURLA3Kpj06ZNKa61iaurq6W1SUKuKiUpuZWJmd5VpT09fPjQspoDyFtvvSWXL1/WO5ZiRU+ePJHq1atbluYd+XiS4n8UF4Yh6y+u17Ze33hDW+VasMA2E9arp43/6afWH/vhQxFPT218a7RR+OILEZA77zSSw7cPy7Wga2p1zs6ioqIkS5YsAsi8efP0jqMk0LOtTTZv3qx3HKubMmVKglubnDx50nJ8aEo9FCvFr9Q9y9fXl4ULFzJt2jTSpk3Lrl27KFmyJNOnT1dNTFMIT09PVq5cSenSpXn06BGdO3d2yBVZEbGs1L2R4Q04cEBbQUuTRlupswVzM+IpUyDQypcKmzgRIiKgdGmoWTPp4/3biDjris2U9i5A7vS51eqcnS1cuJB79+6RPXt2WiW2CbaiGycnJxo0aACkzKtLmFfaDh48yIMHD+L1HPPHoWbNmnh5edksm55SVVEHYDAY6NKlC8eOHeOtt94iNDSUrl270rZtWx49eqR3PMUK0qZNy/z580mTJg1bt27l559/1jvSCx5HPCY8JhyA3OlzP916bdoUbPXDpk4d8PeH8HD480/rjRsZCePHa7cHDtSuZpFUJUtCoULa2CtWJH08JcHM13nt06cPrq6uOqdREiMlXzIse/bslCxZEhFh/fr18XpOit96JRUWdWZ58+Zl27ZtfP/997i4uLB48WJKlCgR7y8OxbEVLFjQ8ktpyJAhDnd83Y2QGwBk8sqEh5MbLFig3ZHYa73Gx7OXDvvtN4iKss64s2bB/fuQKxe0bWudMQ2Gpx8LdS1Yu9u3bx/79+/Hzc2N999/X+84SiLVq1cPJycnTp48yY0bN/SOY3UJKVpDQ0PZsWPHc89LiVJtUQfg7OzMV199xd69eylSpAh37tyhQYMG9O3bl4iICL3jKUnUrVs3WrduTWxsLB06dCAszDoXsbeGmyE3AciVPhfs2QM3b0K6dPDvdonNtGsHOXLAnTswe3bSxzOZYMwY7Xa/fmDNFR1zUbduHQQFWW9c5ZWCgoL46KOPAHj33XfJnDmzzomUxPLx8aFixYoArFu3Tuc01mcuztavX//aw2w2b95MTEwM+fPnp2DBgq98bHKWqos6s7Jly3Lo0CHLD7Lx48dTtmxZjhw5onMyJSkMBgOTJ08mZ86cXLhwgc8++0zvSBY3grW/mnOmy/l0Jap5c/DwsO3Ebm7w6afa7V69tCJyzhx48iRx461ZA2fPagVpz57WywnaGbTFi0NMDCxbZt2xlTgFBQVRt25dDh06hJ+fH998843ekZQkSslbsJUrVyZdunQ8evTotbsxqWHrFVRRZ+Hl5cXvv//OmjVryJo1K2fOnKFixYqMGjXKIQ+0V+LHx8eHGTNmYDAYmDJlCosXL9Y7EvB0+zVX2pxamxGw7dbrs/r00dqOmEywfj289x5kzQo9esC2bdr748t8vGLv3lphZ21qC9ZuzAXdwYMH8fPzIyAggAIFCugdS0mi1NLa5FVFq6SGViZm+p5865gePHggLVu2tLQ+efvtt+XKlSt6x1KS4PPPPxdAMmbMKDdu3NA7jnRa0kkYhvw4vZfWBiRjRpGoKPuGuHBB5Ntvn7ZSMb/lyaNdruzcuVc/f/9+7fEuLiK2+pieO/d0jocPbTOHIoGBgVKuXDkBxM/PT44dO6Z3JMVKnm1tsmXLFr3jWJ25tUmFChVe+phTp06l+FYmZmqlLg5+fn4sXryYqVOn4u3tzY4dO/D392fmzJmq9UkyNWLECMqWLUtgYCBdunTBlJDVKBuwrNQduaS9o2VLbWvUngoUgOHD4dIl2L5d2z5Nlw6uXYPvvoPChaFKFZg0CR4/fvH55lW69u0hZ07bZCxUCEqVgthYWLLENnOkckFBQdSrV4+DBw/i6+tLQEAA/v7+esdSrMTJyYn69esDCWvUm1yY27YcOHDgpa1NzKt0NWrUSLGtTMxUUfcSBoOBbt26cezYMapUqUJoaCidO3emXbt2PI7rF5zi0Nzc3Jg9ezZeXl5s3rxZ9zYnt0JuAZBjyyHtHfbaeo2LkxO8/Tb89RfcvQvz5kGjRuDsrJ3E0acPZMsGbdpo7UWio+HKFVi0SHu++WoVtqK2YG3GXNAdOHAAX19fNm/erAq6FCglH1eXI0cO/P39ERE2bNgQ52NSzdYrqO3X+IiJiZGRI0eKi4uLAJI9e3bZuHGj3rGURPjrr78EEFdXV12vZZnm+zTCMOS8DyJ+fiIxMbpleak7d0TGjBEpWfL57Vk/P5HSpbXbdevaPselS9pcTk4id+/afr5UIjAwUMqXL2+5+orack25Hj58KE5OTgI49FV2Est8eM177733wn2hoaHi5uYmgJx73SElKYBaqYsHFxcXhgwZwp49eyhUqBC3b9+mbt269OvXT7U+SWZ69OhBq1atiImJoUOHDoSHh9s9Q2hUqKXxcLYwoHVrcHGxe47XypoV+veHo0e1twEDtPc9fAjmM8PNfe9sKV8+KF9eO4HDvDqoJElQUBD169e3rNCpLdeUzdfXlwoVKgApv7XJfw+t2bx5M9HR0eTLly9FtzIxU0VdApQrV47Dhw/Tp08fAH799VfKly/PsWPHdE6mxJe5zUmOHDk4f/68Lm1ObofeBiBtFHhHo+/Wa3yVLKkdQ3fjBqxdC507w6BB8O+ZZzantmCtxlzQ7d+/31LQlSxZUu9Yio2l5C3YKlWqkC5dOh4+fPhCa5Nnt15Tw6UGVVGXQGnSpGHChAmsXr2azJkzc+rUKcqXL8///vc/1fokmfD19bW0Ofnrr79YunSpXee/E3YHgGyhaCtf1arZdf4kcXHRettNnw6jR1vnkmDx8c472r87d8KtW/aZMwUKDg5WBV0qldJbm9SpUwd4vmiV1NTK5F+qqEukRo0acfLkSZo3b05MTAyDBw+mdu3aXL9+Xe9oSjzUqlWLQYMGAdCzZ09u2bFQuBP6b1EXhnbygbOz3eZOtnLl0s7EFXna109JkODgYOrVq8f+/fvx8fFRBV0qU7ZsWTJlykRoaCi7d+/WO47VxbUSefbsWa5du4a7uzs1a9bUK5pdqaIuCTJlysTSpUuZMmUKadKkYdu2bfj7+zN79mzV+iQZGDlyJGXKlOHx48d2bXNyO/AaANlDSR5br45CbcEm2n8Lus2bN6uCLpV5trVJStyCNbc22b9/Pw8fPgSevs7q1aun+FYmZqqoSyKDwUCPHj04evQolSpVIjg4mI4dO9K+fXsCAwP1jqe8gpubG3PmzMHLy4uAgADGjh1rl3nvnNwLQDbx1laflPhp00bb7t27V+ulp8SLKugUs5R8XF3OnDkpUaLEc61NUtvWK6iizmoKFCjAjh07GD58OM7OzsyfPx9/f382b96sdzTlFQoXLswvv/wCwFdffcXhw4dtPuedS0cByFawtNYjTomf7NmfHn+4YIG+WZKJZ4+hU1uuSr169TAYDJw4cYKbN2/qHcfqni1aw8LC2L59+3PvTw3UbxQrcnFx4dtvv2XXrl0UKFCAmzdvUrt2bQYMGEBkZKTe8ZSX6NmzJy1btrS0OXmS2Ivbx1NR3yJUu+9Fkbea23SeFEltwcabuaDbt2+fpaArVaqU3rEUHfn5+aWa1iYBAQFER0eTN29eChUqpHMy+zGIOvjLJsLDwxkwYAB//vknACVKlGDWrFmqF5SDevToEf7+/ty+fZvevXszadIk205o/rZLBafYW9X9+9rVLUwmuHBBu9SZlYWFhVmlf6Gvry8uOvUf/G9Bt2nTJkqXLq1LFsWxDB8+nGHDhtGqVSsWL16sdxyriomJwdfXl9DQUMqXL8+BAwf48MMP+eOPP/SOZjeqqLOxlStX0qNHDx48eICbmxs//PADn332GU5q283hBAQEWE6LX7ZsGc2bq5U0h1S3LmzaBN9/D199ZfXhR44cybfffpvkcdzd3SlcuDDFixenWLFiFC9enOLFi5MvXz6rFXsxMTFcunSJU6dOcerUKU6fPs2pU6c4d+4cMTExqqBTXrB//34qVqxo6evm6uqqdySratWq1XNtqlauXEmTJk10TGRfqqizg3v37tGzZ09WrVoFQM2aNZk+fTq5cuXSOZnyX4MGDeLnn3/G19eX48ePkz17dr0jKf81ZQr06gX+/mCDxt/WKupe5tli79mCL3/+/Di/pL1NbGwsFy9efGnxFpdcuXKxfPlyVdApzzGZTGTJkoWHDx+ydetWqlevrnckq/rrr794//33Ae1kuMePH5MmTRqdU9mPKursRET466+/+Oyzz3jy5AkZMmRgwoQJtG/fXu9oyjOio6OpVKkSR44coU6dOqxfv16tqjqax48hSxaIjYUzZ6BIEb0TvcBkMnH16tUXirAzZ8689NKC7u7uFClSxFLkmUwmy/NfVbx5eXk9txJoLhRz586tvnaVOHXs2JHZs2fz+eef89NPP+kdx6pu3rxpWTCpW7eu5UzY1EIVdXZ2/vx5OnXqxP79+wFYuHAhbdq00TmV8qyzZ89SpkwZIiIiGDduHP369dM7kvJfjRpplysbNgyGDtU7TbwZjUauXbtmKdbMBd+rij2zZ4u3Z4s4VbwpCTV79mw6duyIv79/irzMpb+/PydOnGDs2LG6XApST6qo00FMTAzfffcdAQEBbN26VbeDqZWX+/PPP5kxYwazZs0ib968esdR/mvWLJg6FT76CFq31jtNkhmNRq5evWpZ0Tt9+jQGg+G51TdVvCnW8vDhQ+rUqUODBg34/vvvX7rtn1zt3LmTBQsW8OOPP6aqrVdQRZ2uYmNjVUHnoEQEo9GoPj+KoihKsqGKOkVRFEVRlBRAreUriqIoiqKkAKqoUxRFURRFSQFUUacoiqIoipICqKJOURRFURQlBVBFnaIoiqIoSgqgijpFURRFUZQUQBV1iqIoiqIoKYAq6hRFURRFUVIAVdQpiqIoiqKkAKqoUxRFURRFSQFUUacoiqIoipICqKJOURRFURQlBVBFnaIoiqIoSgqgijpFURRFUZQUQBV1iqIoiqIoKUCiirrY2Fhr51AURVEURVGSwCAiktAnde7cGRcXF3799VfSpk1ri1xKEnzyySdcvXo1SWN4eHhQv359WrduTcaMGa0TTAFg9OjR7NixQ+8Y+Pv70759e9588029oyQ7YdFh/L7/d47dO0alHJX4oNwHuLu46x1LUeLl8ePHVK9enSZNmjBy5EhcXFysNvbNmzfp06eP1cZLLD8/P3755RfSp09v97nDw8Pp168fd+/eTdI4Tk5OLF++PGFPkgQ6ceKEGAwGASRv3ryyc+fOhA6h2FiJEiUEsMqbq6urNG/eXObNmyfh4eF6v7QUoV27dlb7/FjjrUSJEvLDDz/IlStX9P7QJAshkSFS4a8KwjAsb+Unl5egiCC9oylKvMyYMcPyvW9tZ86c0f1nmvlt7NixVn998TF58mSr5Hdyckrw3Ilaqdu+fTudO3fm2rVrODk58eWXXzJ06FBcXV0TOpRiA0uXLiUwMDBJY9y5c4f58+dz4sQJy/u8vb1p0aIF7du3p27duurznUhbtmzhypUrumaIiopi/fr1rF27lujoaMv7q1SpQocOHWjbti2ZM2fWMaHj+nTtp/y2/zd8PH3oUboHfx/5m8cRj2lQoAFrOqzBYDDoHVFRXqlVq1YsXbqUb775hhEjRlh17KCgIJYsWWLVMRNq+/btTJ8+nbp167Jhwwa7z9+yZUuWLVtG+/btqVOnTqLHMRgMdOvWLWHPSUxRBxAcHEzfvn2ZMWMGAGXLlmXWrFkUKVIkMcMpDurkyZPMnTuXOXPmPLel6+vryzvvvEP79u156623cHJS59wkR4GBgSxZsoQ5c+awZcsWzD8OnJ2dqVOnDu3bt6dly5akS5dO56SO4XLgZQqOL4hJTGzouIG6+ety5M4R3pr6FhGxEUxsPJEPyn2gd0xFeaknT57g5+dHREQEhw8fpnTp0npHsrozZ85QrFgx3NzcePz4MWnSpLHb3NHR0fj6+hIWFsbBgwcpW7as3eYGEr79+l8LFiyQjBkzCiCenp7yxx9/iMlkSuqwioMxmUyyZ88e+eSTTyRz5szPLRHnypVLBg8eLEePHlWf+2Ts1q1bMm7cOClfvvxzn18PDw9p06aNLFmyRCIiIvSOqauB6wcKw5B6M+s99/5f9vwiDEN8RvnI4yePdUqnKK+3fPlyASR37twp9ue1yWSSPHnyCCArV66069ybN28WQDJnzixGo9Guc4uIJLmoExG5efOm1K1b1/JLoGHDhnLnzh1rDK04oJiYGNmwYYN07dpV0qVL91wBULRoURk5cqRcvHhR75hKEly4cEFGjBghhQsXfu7zmy5dOunWrZts3LhRYmNj9Y5pVzHGGPEb7ScMQ1acXfHCfcX/KC4MQz7f+LlOCRXl9bp27SqA9O3bV+8oNvXBBx8IIB9++KFd5x00aJAA0rlzZ7vOa2aVok5ExGg0yi+//CLu7u4CiJ+fnyxdutRawysOKiIiQhYvXiytW7e2fO7Nb+3bt5fHj9WqRXJmMpnk8OHDMmjQIMmZM+cLBfytW7f0jmg3W69stazGxRhjXrh/xdkVwjDE+wdveRj+UIeEivJqMTEx4uvrK4Bs2bJF7zg2ZV6RzJs3r11XJN98800BZO7cuXab81lWK+rMTp48KSVLlrT84O/Ro4eEhIRYexrFAQUFBck///wj9erVEycnJwEkZ86cEhAQoHc0xQqMRqNs27ZNPvjgA8shF0WLFpX79+/rHc0uPlv3mTAM6bw07r/ATSaTlJpUShiGjNw20s7pFOX1tm7dKoD4+PhITMyLf5ikJKGhoeLm5iaAnD171i5zXr9+3XLW6qNHj+wy539Z/ej24sWLs2/fPgYPHozBYODvv/+mVKlS7Nmzx9pTKQ4mffr0dO3alfXr17N7924KFCjAzZs3qV27NgMHDiQqKkrviEoSODk5Ua1aNSZOnMjhw4fJmTMnZ86coX79+gQFBekdz+bWX1oPQNNCTeO832AwMKjKIAB+3/87UbHq611xLEuXLgWgadOmVu1N54i8vb15++23AVi7dq1d5ly3bh0AFStWxMfHxy5z/pdNTll0d3dn1KhRbNmyhdy5c3P58mWqVq3Kt99+S0xMjC2mVBxMxYoVOXLkCO+//z4AY8aMoXz58s+1SFGSrzfeeINNmzaROXNmjhw5QqNGjQgLC9M7ls08fPKQ0w9OA1DjjRovfVzbYm3JkTYH98LvsejILDulU5TXExGWLVsGaC03UoOGDRsC9ivqzPOY59WDTftQVK9enePHj9OxY0dMJhMjR47krbfe4vz587acVnEQ3t7e/Pnnn6xYsYJMmTJx4sQJypUrx9ixYzGZTHrHU5KocOHCbNy4kYwZM7Jnzx6aN29OZGSk3rFsYuf1nQAU9SuKn5ffSx/n6uxK7yyNAfhjzmeQuI5RimJ1x44d49q1a3h6elK3bl2949iFubjatm0bT548selc0dHRbNq06bl59WDz5mLp06dn5syZzJs3jwwZMnDgwAFKly7NpEmTLD2xlJStadOmnDhxgiZNmhAdHc2AAQOoW7cuN27c0DuakkT+/v6sW7cOb29vNm/eTNu2bVPkavyu67sAeDv32699bK+AQFyMsCdDKCcW/m7raIoSL+at1/r16+Pl5aVzGvsoWrQouXPnJioqii1btth0rt27dxMaGkrmzJkpU6aMTed6Fbt1jG3Xrh0nTpygVq1aPHnyhD59+tC0aVPu3btnrwiKjrJkycKKFSv4888/8fLyYvPmzfj7+zNv3jy9oylJVKFCBVatWoWHhwerVq2iU6dOGI1GvWNZ1aE7hwComLPiqx8YHEzWeatofk777+RVw0GtSisOILVtvYJ2nKu9tmDN49evX1/XZvx2nTlnzpxs3LiRsWPH4u7uzurVqylRogQrVqywZwxFJwaDgffff58jR45QoUIFgoKCaN++PR07dkwVB9qnZNWrV2fp0qW4uroyf/58evXqlWK22EWEI3ePAFA662u678+fDxER9LqdDYDZ2R8RuUj94aLo6/Llyxw/fhxnZ2caN26sdxy7eraos+XuoCMcTwd2LupAO4Pus88+48CBA5QoUYIHDx7QvHlz3n///RR9oLXyVKFChdi5cyfffvstTk5OzJ49G39/f7Zu3ap3NCUJGjRowLx583B2duaff/6hX79+KeIQi2vB1wiKDMLVyZXimYu/+sF//w1AneafkUvSEegJy/8eDCls5VJJXsyrdNWqVcPX11ffMHZWq1YtXF1duXz5MhcuXLDJHDdv3uTEiRM4OTlRr149m8wRX7qtEZYoUYIDBw4wcOBADAYDf/31F6VLl2bfvn16RVLsyNXVleHDh7Nz507y58/PjRs3qFWrFp9//rlqfZKMtWrVimnTpmEwGBg/fjxDhgzRO1KSHbmjrdK9mflN3JzdXv7Akydh/35wccG5cxe6VuoNwNTMtyC5HWbw11+QLRuoVlQpQmrcejVLmzatzVubmFuZVKhQQfeiWdersLu7u/O///2PgIAAcubMycWLF3nrrbcYNmwYsbGxekZT7KRy5cocPXqUnj17IiKMHj2aihUrcurUKb2jKYnUsWNHJk6cCMAPP/zAjz/+qHOipDn1QPta9M/i/+oHTp2q/du0KWTOTNeKHwCwMT/cGP01JJefaYGBMGgQ3L0LP/2kdxolie7fv8+uXdqJPs2bN9c5jT5sfVydo2y9gs5FnVnNmjU5fvw47du3x2g0Mnz4cKpWrWqzpVLFsXh7e/PXX3+xbNky/Pz8OHbsGGXLlmXy5Ml6R1MSqXfv3vz8888AfPXVV4wfP17nRIl35uEZQGtn8lLR0TBzpna7e3cA8mXMR/WcVREDzEh/DWbMsHVU6xgzBoKDtdurV8OdO/rmUZJk5cqVmEwmypQpQ+7cufWOowtzsbV161artzaJiYlxiFYmZg5R1AFkzJiROXPmMGfOHNKnT8++ffsoVaoUf/31V4o4Lkd5vebNm3PixAkaNWpEVFQUvXv3ZtKkSXrHUhJpwIABDB06FIC+ffsy1bySlcycfXgWgCJ+RV7+oJUr4eFDbcuyQQPLu7uW7QHAtFIgI4ZrxZ8je/AAfvlFu+3jox0LaC5WlWQpNW+9mhUrVoxcuXIRFRVl9WO3d+/eTUhICJkyZaJs2bJWHTsxHKaoM2vfvj3Hjx+nRo0aPHnyhPfff58WLVpw//59vaMpdpA1a1ZWrVrF559/DsCHH37IrFmqM39yNXToUAYMGABAr169mD9/vs6JEsYkpvgVdf+eIEGXLvDM5ZfaFGtDGtc0XPSFXXL96eMc1ejREB4OZcvCqFHa+/7+WzVRTqbCwsLYuHEjAC1atNA3jI5s2drEUVqZWOhyxdl4MBqN8vPPP1suyJs5c2ZZtWqV3rEUOzGZTPLxxx8LIM7OzrJ48WK9IymJZDKZpHfv3gKIi4uLrFixQu9I8XYt6JowDHEZ4SLRsdFxP+jGDREnJxEQOX/+hbu7LusqDEO6N0MkRw6RiAgbp06k27dFPDy017FmjUhIiEiaNNr/d+zQO52SCAsXLhRA8ufPLyaTSe84ulq6dKnlY2FN/v7+Asjs2bOtOm5iOUBZGTcnJycGDBjA/v37KV68OPfv36dJkyZ88MEHhIeH6x1PsTGDwcCvv/5K165dMRqNvPvuu5YzjJTkxWAwMGHCBDp27EhsbCxt27YlICBA71jxcuGRdlxv/oz5cXV2jftB06drDYarVYOCBV+4u1upbgAseNNA+P1b8OefNsubJD/+CJGRULmytoWcNi288452XzLdOk/tnt16NRgM+obRWe3atXF1deXSpUtWO17/1q1bHD9+HIPBoHsrEzOHLerMSpYsycGDB/nss88A+PPPPyldujQHDhzQOZlia05OTkyZMoV33nmHmJgYWrZsybZt2/SOpSSCk5MT//zzDy1btiQqKormzZuze/duvWO91uXAywDk98kf9wNMpqcFz78nSPzX27nfpoBPAcLchIXFgR9+0LY4HcmNG0+Lze++A3MBYH5NCxZAaKg+2ZREiYmJYdWqVUDq3no1S5s2LVWrVgWstwX7bCsTP7+XXxPanhy+qAPw8PBg7NixbNq0iRw5cnDhwgUqV67MyJEjVeuTFM7Z2ZmZM2fSuHFjIiMjadKkCfv379c7lpIILi4uzJ07l/r16xMeHk6jRo24evWq3rFeyVzU5cuQL+4HbN8Oly9rq1pt2sT5EIPBQPdSWnH0d2UPuH8f/vjDJnkT7bvvtJM4atSAWrWevv+tt6BQIa0IXbBAt3hKwm3dupXg4GCyZMlCpUqV9I7jEMzH1a1Zs8Yq45nHcYSzXs2SRVFnVrt2bY4fP067du0wGo18++23VKtWjUuXLukdTbEhNzc3Fi5cSK1atQgLC6NBgwYcP35c71hKIri7u7NkyRIqVqxIcHAwPzl4H7TLQf8WdRlfUtSZV+nefRfSpHnpOF1KdcHJ4MTOLJGc9UM7CSEkxMppE+ny5aevY+TI5+8zGJ6u1jn6SR7Kc8xbr82aNcPZ2VnfMA6iUaNGgHVamzzbysQ8riNIVkUdgI+PD3PnzmXmzJmkS5eOPXv2ULJkSf7++2/V+iQF8/T0ZPny5VSuXJnAwEDq1q3LuXPn9I6lJIKXlxf/+9//APjnn3+448B90K4EXgEgb8a8L94ZHAyLFmm3e/R45TjZ02anSaEmAPxVJyM8fgy//mrVrAlhEhNh0WGYxAQjRmiNkevXh3+3p57TuTM4O2tXlzhzxv5hlQQzmUwsX74cUFuvz7JmaxNHa2ViluyKOtC2Mzp27Mjx48epVq0a4eHh9OzZk1atWvHgwQO94yk24u3tzZo1ayhVqhT379+nTp06Dr99p8Tt7bffpmrVqkRHRzN27Fi947yUZfs1rpW6uXMhIgKKFYMKFV471vtl3gdgWrEYIlzQmvwGBloz7iuFR4fzx/4/qDq1Kl7fe5H2x7R4fOdBZdfp/FYRwr/9Mu4nZssG5pUIdcJEsnDw4EFu3bqFt7c3tWvX1juOw7BmaxOHa2XyL8dJkgh58uRh8+bNjBo1CldXV5YtW0aJEiWstl+uOJ4MGTKwYcMGihYtys2bN6lduza3b9/WO5aSCF999RUAEydO5PHjxzqneVFoVCiPIh4BkDdDHCt15gKnR4+nJxa8QoMCDciTPg+PTWEsqJ9TW+kbM8aakeMkIsw9MZf8v+Xn47Ufs+vGLqKM2vWVY0wx7M0JnzaEgnvas+LcirgHMa9EzpgBMTE2z6wkjXnrtVGjRri7u+sbxsFYu6hzpOPpIJkXdaAdSD948GD2799PsWLFuHfvHo0bN+ajjz6y+uVAFMeQKVMmNm7cSN68ebl8+TJ169ZVK7TJUIMGDShVqhTh4eEOeRmxGyE3AMjgkYG07mmfv/PECThwQGs03LFjvMZzdnKmd9neAPxezQMBbQvWhl+7T2Ke0GlpJzos6cC98HvkzZCXX+r/wvmPzxPWfB8Xf4PxayCvVw7uhN2h+bzmfLHpC21b9lmNGkGWLNpJHqtX2yyvYh1Lly4F1NZrXKzR2sQRW5mYJfuizqxUqVIcPHiQTz/9FIAJEyZQpkwZDh48qHMyxRZy5MhBQEAAOXLk4PTp09SvX5+goCC9YykJYDAY+PJLbcvvt99+IywsTOdEz7sRrBV1udLlevFO8ypds2aQOXO8x+xZpifuzu4cjLjI3jqFISxMu4qDDdwPv0+NaTWYfWI2zgZnhtcYztmPz/JppU8p6FuQNCNHkf8xfJy7Dac/u0j/Sv0BGLVrFD1W9MBoMj4dzNVVO7YO1Basgzt79ixnz57F1dXVoQ7gdxTWaG3iiK1MzFJMUQfawfS//PILGzZsIHv27Jw7d47KlSvz/fffYzQaXz+AkqzkzZuXTZs2kSlTJo4cOULjxo0drjBQXq1169YULFiQx48fM3nyZL3jPOdmyE0AcqbL+fwdUVFPr4f6kt50L5MpTSY6lOgAwJim//4y+OMPsPLJIrdDb1N9WnUO3D6Ar6cvAZ0D+Lb6t7g5u2kPOHwYlizRto2HD8fDxYMx9ccwvcV0nA3OTDs6jY/WfPT8yWfm17pmzWvzPnzykA2XNhARE2HV16W8nvkEiVq1apE+fXqd0zimpG7BOurWK6Swos6sbt26HD9+nDZt2hAbG8uQIUOoVq0aly9f1juaYmVFihRh48aNZMiQgd27d9O8eXMiIyP1jqXEk7Ozs+U6vz///DNRUVE6J3rKvP36wkrdypXw6BFkz66dMZpAAypr18JdEribC7VLaSdb/PhjUuNa3Au7R63ptTj78Cy50uViV/ddVH+j+vMP+vZb7d8OHbQTPf7VuWRnZreajQEDfx76kx93PpOrSBGoUgWMRu0qGq+w8txK6s+qT92Zda31spR4Uluvr2cuxrZu3UpERML+8IiJibFcT1cVdXbk6+vLggULmD59OmnTpmX37t2ULFmSf/75R7U+SWFKlizJunXr8Pb2ZvPmzbRt25YYdTB3stGpUydy5szJnTt3mP6aYsGeLNuv6f9T1Jn7tXXtqh1Tl0DFMxenccHGCMKPrbNo7/zzT+2qDkkUFBlEvVn1OPfoHLnT52Zb120U9iv8/IP27NGOi3N2hqFDXxij3Zvt+L3R7wB8vflrlp5Z+vRO8wkTU6fCK36Obri8AYCab9RM2gtSEuT27dvs27cPgObNm+ucxnEVL16cnDlzEhkZmeDWJnv27CEkJAQ/Pz/KlStnm4BJkGKLOtCO2encuTPHjx+natWqhIWF0b17d9q0acPDhw/1jqdYUcWKFVm5ciUeHh6sWrWKTp06qS33ZMLNzY2BAwcCMHr0aIe5SkycK3U3bsD69drtbt0SPfaQakMAmPFgExcbVtCu5vD994keDyAiJoKmc5ty/N5xsnpnJaBzQNz99cyrdF26xHmtWoAPy39I3wp9Aei8rDNnHvzbn65tW63J8oULsHNnnM81iYmNl7SVjHr5Hesg8pRuxQrt7OVKlSqRLVs2ndM4rqS0NnHUViZmjpfIBt544w22bt3Kjz/+iIuLC0uWLKFEiRLqAvEpTI0aNViyZAmurq7Mnz+f999/X63KJhM9e/bEz8+PS5cusXDhQr3jAC85pm76dG2Fqnp1KFAg0WNXylmJhgUaYhQjQ5v9e9zT339rV3dIhFhTLO0Xt2fn9Z2kd0/P+o7rKeATR75t22DTJu3Eh2++eeWYY+qPocYbNQiLDqPVglaERoVql0Nr1057wEtOmDh0+xCPIh6R1i0tlXKqy1PZk9p6jb+kFnWOuPUKgKQyhw4dkiJFiggggHz88ccSHh6udyzFihYtWiROTk4CyJ9//ql3HCWeRo4cKYC8+eabYjQa9Y4jGX7KIAxDTt8/rb3DaBTJm1cERKZPT/L4h28fFsMwgzAM2duqgjZu164JHsdkMsn7K94XhiHuI91l65WtL3ugyNtva/P06ROvse+F3ZPsY7ILw5B2C9uJyWQS2blTG8PLSyQ4+IXnDNowSBiGtF3QNsGvRUm8wMBAcXFxEUDOnTundxyHFxwcbPl4XbhwIV7PuXXrlgBiMBjkwYMHNk6YOKlipe5ZZcqU4dChQ3z88ccA/P7775QtW5bDhw/rnEyxltatW1uuKdqvXz/Onj2rcyIlPj766CPSpk3LyZMnWa1zL7SImAiCIoMAyJb2322sbdvgyhVttapNmyTPUTpbabqU6gLAR1VDiHVCa+6bwMvfDdk8hMmHJ+NkcGJO6zkvnhRhtmkT7NgB7u7w9dfxGjtzmswsaLMAFycX5p+az/j947WTJQoXhidPYMGC5x5vEhPzT80H4N03303Q61CSZu3atcTGxlK0aFEKFSqkdxyHly5dugS3NjHv7pUvX97hWpmYpbqiDrRrT44fP55169aRNWtWzp49S8WKFfnxxx/VcVgpxIABA6hduzYRERG89957REdH6x1JeY2MGTPy4YcfAvDDDz/ounV+N+wuAB4uHqR3f2Z7FKB9e/Dysso8P9b+kQweGTgUcpb/t3ffYU2dbRjA74S9FGQognvVAS7AOurGbV11oDjqrtZVt19V1Kqtu3Uraq0TB6h1K4oLFSfgRkUrioACyoYkz/fHMVEUlJHkBHx+18VlmnHODSnw8L7nfd5FA78BFApg1qycv/7cfMw7Pw8AsLr9anSt2jXrJxIBvwrX8eGnnwAHhxyfo2HphljkvggAMP74eJx+EvB+wYTya/LOkbAj+O/NfyhiVARtK+ro9FQhxVOvuZfbKVidn3oFvr7p14/FxMRQ165dVdOxjRo1ovDwcLFjMTWIiIigYsWKEQCaNGmS2HFYDkRGRpKRkREBoNOnT4uW48J/FwheoHLLygl3xMURGRsL046XL6v1XJtubCJ4gfRn6VOgI4gkEqLQ0M++RqFQ0JwzcwheIHiBFpxf8PmT/Pvv+ynTly9znVGhUFCfvX0IXiCr363o7p2zRHp6wjFv31Y9p+nfTQleoPHHxuf6HCzvUlJSyNzcnABQUFCQ2HEKjJCQEAJAxsbGlJyc/NnnZmRkUNGiRQkAXbp0SUsJc++rHKn7kI2NDfbs2YNNmzbB3Nwc58+fh7OzMzZv3swX2RdwDg4O8Pb2BgAsXLgQp06dEjkR+5ISJUpg0LtRoHnz5omWIzJBaK5bwryEcMeOHUBqKlC9OuDqqtZz9a/ZH92rdYeMZOjS3wgPrSjLViNKMoUMY46OwfTTwkKH35r9hokNJ2Z/AoXi/YrXn38WtvvKJYlEgvUd16OeQz3EpcbB/WhvhHVrKjz4bsGE711fBDwJgKGeIUbXG53rc7C8O3XqFBITE+Hg4IC6deuKHafAqFGjBhwcHJCamoozZ8589rkXL17EmzdvYG1trZOtTJS++qIOEH5gDRgwAMHBwWjYsCESEhIwYMAA9OjRA69fvxY7HsuHLl26YMiQISAi9O3bl9/PAmDixInQ09PDiRMnRNvmTzn9qrqeTrnSc9AgYRcGNZJIJNjYaSOcizsjyiANTQcA1y/6Crs+fCQ8Lhwt/mkhXNsGYGnrpfhf4y9cH+fnB9y4IVwLOGlSnnOaGJjgX49/UdWmKiLeRqC+UxD2VAMU/2zGuUenMPCAsOPEpAaTULpo6Tyfh+Wecuq1U6dOOtlmQ1flprXJh61M9PT0NJ4tr/jd/0D58uVx5swZzJ07F/r6+tizZw+cnJxw/PhxsaOxfFi6dCmqVKmCFy9eqAo8prvKli2LPn36AADmq3GnhdyITBRG6uzN7YGQEODqVaENiKenRs5nbmiO457HUc22Gp4XAb4dDIxd0R5XDq3Di/hnOP/feYw6PApVV1bF2adnYWFoAd8evhj77djPH1gufz/qN3YsYG2dr5y2ZrY43f80XEu64rU8Ad17AKbDXqHx1hZ4m/YWjcs0VvXgY9ohl8tV/em6dOkicpqCJ7dFnU5fTwdAQvwbLktXr16Fp6cn7r9biTZ69Gj8/vvvMDExETkZy4vr16/j22+/RUZGBtavX4/BgweLHYl9xp07d1C9enUAwO3bt1Htg62stGHQ/kHYeHMj5jSbg199XwF//gl06wbs2aPR88alxGHg9h7YF3Ey2+c0L9cc6zqsQ4ViFb58wO3bgT59AEtLYeWupaVacqbKUjH37FysOLsQ8ZI06JEE/WoPwLI2y1DEqIhazsFy5sKFC2jUqBEsLS0RHR0NAwMDsSMVKG/fvoW1tTVkMhkePnyIChU+/b6KjIxEyZIlIZFIEBUVBVtbWxGS5gyP1GXDxcUF169fV63G++uvv+Di4oKbN2+KG4zlSZ06dfDbb78BAMaMGYMHDx6InIh9TrVq1VSjDn/88YfWzx+VFAUAKGFsDWzZItypXPGpQVYmVvAdeBxH6yxB58RSsE6RQEKAfQLQ8xZwYp8FTp4pgwqX7gNf2idXJgO8vITbEyaoraADhFXBc5rPwcseVxD2F/B6AbDR9Tcu6ESgnHrt0KEDF3R5UKRIETRs2BBA9qN1ylYmLi4uOl3QAeDVrzlx6NAhKl68OAEgAwMD+uOPP0gmk4kdi+WSXC6n5s2bEwCqW7cupaWliR2JfUZQUBABID09Pa2vSHdd50rwAu33niis8HRwIBLjez4tjejIEaJBg4isrYUsyo8iRYj69CHy9SXKauXepk3C86ytid6+1VzGhg2F88ybp7lzsCwpFAqqUKECAaA9e/aIHafA+v333wkAtWvXLsvHu3fvTgBoxowZWk6We1zU5VB0dDR17txZ1fqkcePG9OTJE7FjsVx69uwZWVlZEQCaPHmy2HHYF7i7uxMAGjlypFbPW3ZZWYIX6GK3ekLB8r//afX8WcrIIPL3JxoxgsjePnOBZ2ZG1L070c6dQgGXlkZUtqzw2MKFms21caNwnooVhV0rmNaEhoYSADIyMqKEhASx4xRYwcHB2bY2+bCVycWLF0VKmHNc1OWCQqEgb29vMjMzIwBUpEgR2rJli7B1Disw9u7dq9rq5dSpU2LHYZ9x6tQp1S+tyMhIrZ3XdK4pwQv0sNi7ounhQ62dO0fkcmG7rnHjiEqXzlzgGRkR1a0r3C5RgkjT2yAmJBCZmwvnO3NGs+dimcyePZsAUMeOHcWOUqApFApycHAgAHTkyJFMj509e5YAkLW1dYGYoeNr6nJBIpFg0KBBCA4ORv369fH27Vv07dsXHh4eiIuLEzsey6GuXbti8ODBqjYnsbGxYkdi2WjatCm+/fZbpKWlYdmyZVo5Z1J6EpIzkgEAdokAmjYFsrh4WlRSKdCwIbBkCfDkCXDlCjBlClCpknCt3bVrwvOmTVPb7hfZMjcHevYUbitbvzCt2LdvHwDeRSK/PtfapKC0MlERu6osqDIyMmj27Nmkp6dHAMjBwYFOnjwpdiyWQwkJCVSpUiUCQN26dePRVh124MABAkAWFhYUFxen8fOFx4UTvEBG00EKgOiffzR+TrVRKIhCQohmziSaOlWYhtWGwMD3O1a8eaOdc37lnj59SgBIKpVSdHS02HEKPOUMTqVKlTLdX6tWLQJAW7ZsESlZ7vBIXR7p6+tj+vTpCAwMRKVKlfD8+XO0bNkSv/zyC1JTU8WOx77A3Nwc27dvh76+Pvbu3YtNmzaJHYllo3379qhRowYSEhKwcuVKjZ8vOikagDBKJylSRGhlUlBIJICTk7Dqdd48wNBQO+f99lvgm2+A5GTAx0c75/zKKUfpGjVqpPsrMguAli1bQl9fH2FhYXj06BEAoZXJzZs3IZFI0Lp1a5ET5gwXdfnk5uaGGzduYPjw4QCERreurq4IDg4WORn7EhcXF1Wbk9GjRyMsLEzkRCwrUqkUU6dOBQAsW7YMSUlJGj1fTFIMAMA2CYCHh+anLwsDieR9y5cNG8TN8pXgqVf1yqq1SYFqZfIOF3VqYGZmhtWrV+Pff/+FnZ0dbt26BTc3NyxatAgKhULseOwzJkyYgKZNmyIpKQm9e/dGRkaG2JFYFnr06IHy5cvj1atXqv18NSU6JhwAYJcErfSmKzT69gX09YHLl4HbtzV2GplMhsTERNE/ZDKZxj7HL3n9+jXOnj0LgIs6dfr4urqCsotEJmLP/xY2UVFR9P3336tanzRt2pSePn0qdiz2GR+2OZk6darYcVg21q5dSwDI0dFRoz0Gf1/YieAF6vejJbfoyK3OnYVr6375RWOnUF77JPaHqakpdevWjbZt20bx8fEa+3w/9PjxY1q8eDG5uroSAKpZs6ZWzvu1ULY2MTExoYSEBLK0tCwwrUyUeKROzezs7LBv3z6sW7cOpqamCAgIgLOzM7Zv3y52NJYNR0dHrF+/HgDw+++/IyAgQNxALEv9+/eHvb09IiIisHXrVo2dR5GaiqKpgF2l2sK0Isu5gQOFf//5B0hPFzeLhiUnJ2Pv3r3o06cPbG1t0bZtW6xfvx5RUVFqOwcR4fbt25gzZw5q166N8uXLY/z48bhy5QoAqHY8Yurh5OQEBwcHpKSkYMGCBYiPj4e1tTVcXV3FjpZjvPerBoWFhaFv3764fPkyAMDDwwMrV66ElZWVyMlYVgYNGoSNGzfC0dERISEh/D7poMWLF2PChAmoVKkS7t69q7kWA0lJIIUCEgsLzRy/sJLJgNKlgchIYO9eoGtXtZ9CLpcjXeSCkYhw9+5d+Pr6ws/PD3fv3lU9JpFI0KhRI3Tp0gVdunRB2bJlc3VshUKBK1euwM/PD76+vpmu9ZVKpWjSpAm6du2Kzp07w9HRUV2fEntn8ODB2LBhA4yNjZGamgoPD4+CNSgj7kBh4ZeRkUFeXl6q1ieOjo7k7+8vdiyWhQ/bnHTv3p3bnOighIQE1VS5j4+P2HFYVqZMEaZgs9lyqTC6e/cuzZs3j1xcXD6Zpq1Tpw7NmTOHbt++ne3PlIyMDPL396eRI0eqmuAqP4yMjKhDhw60ceNGiomJ0fJn9vXZs2dPpq//PwWppRHxjhJac+nSJapYsaLqf5Tx48dTamqq2LHYR4KCgkhfX58A0KZNm8SOw7Iwc+ZM1fVEXHjroPv3haJOKiWKiBA7jdY9ffqU/vzzT2rSpAlJpdJMBULlypVpypQpFBQURMnJyXTgwAEaMGAAFStWLNPzzM3NqWfPnuTj40NvNblvL/tEfHy86ncAAIqKihI7Uq5wUadFCQkJNHToUNX/LE5OTnTr1i2xY7GPzJs3jwCQmZkZhYWFiR2HfeTVq1eqrfoOHz4sdhyWle++Ewq7uXPFTiKq6Oho8vb2pnbt2pGhoWGmwu3jgs/GxoYGDhxIBw8epJSUFLGjf9UaN25MAMjFxUXsKLnGCyW0yNzcHGvXrsX+/ftha2uL+/fvc8sTHTRp0iQ0adIESUlJOHz4sNhx2Eesra1VfSH37t0rchqWJeWCiYMHxc0hMltbWwwaNAiHDh1CTEwMduzYgR49esDMzAwKhQKOjo4YPXo0Tp8+jcjISGzYsAHt27eHsbGx2NG/agMGDAAgLM4qaHihhEiioqJw6dIldOrUSewoLAvPnj1DaGgo2rVrJ3YUlgVlp/c2bdpAwitUdU9SEnDsGNChg/Z2tShAUlNT8fz5c5QvX57//9VBRITIyEjY29sXuPeHizrGGGOMsUKAp18ZY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLupEEhUVhf3794sdg2Xj2bNnOHz4sNgxWDYiIyNx+PBhEJHYUVgWEhISsH//fqSnp4sdBW9S3+B29G0kZySLHYV9RWJiYkT5/5+LOhEcOHAATk5O6NGjB0JDQ8WOwz4il8vRt29ftG/fHn/99ZfYcVgWFi9ejPbt22PIkCFiR2FZ8PX1RefOndG0aVPRMmTIM/DLsV9gs9AGNVbXQIlFJTD/3HwoSCFaJvZ1uHHjBhwcHDBo0CCtn5uLOi1KTEzE0KFD0alTJ8TExKBKlSrQ09MTOxb7yIIFC3DmzBmYm5ujXbt2YsdhH3n9+jXWrFkDAOjWrZvIaVhWtm3bBgCiff8QEYYeHIqll5ZCppDB1MAUCekJmHZqGvrv68+FHdOoHTt2ICMjA7t370ZysnZHiLmo05JLly6hdu3aWL9+PSQSCSZMmIArV66gWrVqYkdjH7hy5QpmzJgBAFi+fDkqVqwociL2seXLlyMpKQm1atVCmzZtxI7DPhIZGQl/f38AQO/evUXJsPvObvx9829IJVLs7r4bCVMT4N3RG/pSfWwN2QqvAC9RcrGvw5EjRwAAaWlpOH36tFbPzUWdhmVkZMDLywuNGjXCw4cPUapUKfj7+2PhwoUwMjISOx77QGJiIvr06QOZTIbu3bujf//+YkdiH0lISFBNiU+dOhUSiUTkROxjO3fuhEKhQP369VG+fHmtnz9NloZJJyYBAH797lf8UO0HSCVSDKozCBu+3wAA+O3sbzj35IzWs7HC79mzZ7h165bqv5UFnrZwUadBYWFhaNSoEWbNmgW5XI7evXsjJCQEzZo1Ezsay8KYMWMQFhYGR0dHrF27lgsGHbRu3TrExcWhUqVKPPWqo5RTr56enqKcf/ed3Xj65insze0xudHkTI/1q9kPP1b3BIEwZGUbpKXx4gmmXkePHgUAGBsbAxCKOm0u6OKiTgOICOvWrUOtWrUQFBSEokWLYvv27di2bRssLS3FjseysGfPHmzcuBESiQRbt26FlZWV2JHYR9LS0rB48WIAwJQpU/h6VB107949XLt2Dfr6+ujRo4coGVYErQAAjHQdCVMD008eX5LUCCUSgPvmqVi56Sdtx2OFnHJkbvTo0TAwMMDjx48RFhamtfNzUadm0dHR6NSpE4YNG4bk5GQ0bdoUISEh8PDwEDsay8azZ88wdOhQAEKx0KRJE5ETsaxs3rwZkZGRcHR0FG0UiH2ecpSudevWsLGx0fr5w16H4fLzy9CT6GFI3axXRlvuOoC5p4Tbc55tQ3xKnBYTssIsPT0dJ0+eBAB0794d3333HQDtTsFyUadGBw8ehJOTE/79918YGhpi0aJF8Pf3R+nSpcWOxrIhl8vRr18/xMXFwcXFBbNmzRI7EsuCTCbDH3/8AQCYMGECDA0NRU7EPkZEOjH1CgAty7eEnZndp094/Ro4fhz9bwLVo4F4QzmW7Byj3ZCs0AoMDERCQgLs7OxQp04dtG3bFgAXdQVOUlIShg8fjo4dOyI6Oho1atTAlStXMH78eEil/CXWZYsWLUJAQADMzMywfft2GBgYiB2JZWHXrl14/PgxbGxsMHjwYLHjsCxcvHgR4eHhMDc3x/fffy9KBt+7vgCA7tW6Z/2EvXsBmQx6tWpjtlFrAMCfj3cgPjVeSwlZYaYs3lq3bg2pVKoq6gICArTW2oQrjnwKCgpC7dq1sXbtWgDAL7/8gitXrsDZ2VnkZOxLrl69il9//RUA8Ndff6FSpUoiJ2JZUSgUmD9/PgBg7NixMDMzEzkRy4pylK5Lly4wNf30WjZNi0mKwfXI6wCAdpWy6Y+3Y4fwb69e6DxyBapHA2/1ZVj573QtpVSjhw8BuVzsFOwDyqJOWcxVq1YNpUqVQlpaGgICArSSgYu6PJLJZJg9ezYaNGiAsLAwODg44OTJk1i8eLFq1QvTXYmJiejduzdkMhl++OEH/Pjjj2JHYtk4dOgQbt26BQsLC4wcOVLsOCwLGRkZ8PHxASDe1Kt/uD8IBOfizrC3sP/0CS9eAGfetTHp2RPSChUxNaMeAGB5iDdSZalaTJtP69YBlSoBs2eLnYS9ExERgdDQUEilUrRq1QoAIJFItD4Fy0VdHjx69AiNGzfGzJkzIZfL0bNnT4SGhqJFixZiR2M5NG7cOG5fUgAQEebOnQsAGDFiBK8e11HHjh3D69evUbx4cTRv3lyUDP6PhYbH7uXds37Crl0AEdCgAVCmDACgx5A/UeoNEKWfiq2n/9RW1PzJyADmzBFur1/Po3U6QtnKxM3NDdbW1qr7uajTYUQEb29v1KxZExcvXkSRIkWwdetW7Nixg1tgFCB79+6Ft7c3JBIJ/vnnHxQrVkzsSCwbAQEBuHz5MoyNjTFu3Dix47BsKKdee/XqBX19fVEyXHh2AQDQpEw2q9eVU68fdCIwcK2HMa+FXWP+PLdQq/3E8mznTiAiQrgdGQmcPStuHgYAOHz4MID3RZxSixYtYGBggEePHmmltQkXdTkUExODLl26YMiQIUhKSkKTJk0QEhKCPn368ChPARIREaHaBH7SpEncCFrHKa+lGzRoEIoXLy5yGpaVhIQE7N+/H4B4U6+xKbG4++ouAKB+qfqfPuHxYyAoCJBKge6ZF1EM6vkHzNKBW3qvcTpkvzbi5h0RsGCBcLtoUeHfnTvFy8MAZG5l8nFRZ2FhgUaNGgHQzmgdF3U5cPjwYTg5OWH//v0wMDDAggUL4O/vjzLvhvBZwaBQKFTtS+rWrYvZfD2KTrty5QpOnDgBPT09TJgwQew4LBt+fn5ISUlB5cqVUbduXVEyXHx2EQBQ2boybEyz6I+nLHyaNwc++uPAsm0XDHgmTJct3zdNoznz7ehR4NYtwNwc2CBseYY9e4D0dHFzfeWUrUxsbW2z/B5QFnrK0TxN4qLuM5KTkzFixAi0b98eUVFRqF69OoKCgjBx4kTuZl8ALVq0CKdPn4apqSm2b9/Ovc50nHKUrk+fPihbtqy4YVi2lFOvYs5aXHlxBQDwreO3WT9BWdRl1QReIsHI5sJ2YgcUd/Ff1ANNRFQP5SjdsGFA585AiRJAbCxw4oSosb52yhG4Nm3aZNnGrF07YTW2NlqbcFGXjatXr6J27dpYvXo1AGFf0CtXrqBWrVriBmN5cu3aNVX7kj///BOVK1cWORH7nDt37sDPzw8SiQRTpkwROw7LxsuXL1XTTn369BEth7KVSV37LEYKb98GQkMBAwOgS5csX1+1z1g0f2EMhRRYu0VHmxEHBQEBAYC+PjB2LKCnByi3YuMpWFF93MrkY9psbcJF3UdkMhnmzp2L+vXr48GDByhZsiSOHz+OZcuWwcTEROx4LA+SkpLQu3dvZGRkoGvXrhg0aJDYkdgXKHeP6NKlC6pWrSpyGpadnTt3QqFQ4Ntvv0WFChVEy3Hj5Q0AQO0StT99ULlAom1bILsFbQYGGFFJGMXzfnUC6ekpmoiZPwsXCv/26QM4Ogq3e/US/t23D9BSc1uWWVatTD6mzdYmXNR94PHjx2jSpAl+/fVXVf+y0NBQuLtns0SeFQjjxo3DgwcP4ODggHXr1vHCFh335MkT1ZTe1KlTRU7DPufDqVexxCTFIOKtsBq0VolamR8k+vzU6wc6DVuKkokSRJvI4btFx66tCwsTdsMAgA+vL/32W6E9S2IioIXrtdinsmtl8jEu6rSIiLBp0ybUrFkTgYGBsLCwwObNm7Fr1y5ud1HA+fn5Yf369ar2JZ/7pmO6YeHChZDL5XB3d4eLi4vYcVg27t+/j6tXr0JPTw89e/YULUdwVDAAoGKxirAwssj84NWrwKNHgKkp0LHjZ4+jb1EUQ8yEDdhXBXsLBaGuWLxYyNO+PVCjxvv7JZL3o3XKEUmmVV+aelXSVmuTr76oe/XqFbp164aBAwciMTER3333HUJCQtCvXz8e0Sngnj9/rtondOLEiaI1RWU59/LlS2x4t6pv2jQdGy1hmShH6Vq3bg1bW1vRctyOvg0AqGFX49MHlaN0338P5GB7uSH9l0NPAZyzTsStw3+rMWU+REUBf/8t3J406dPHlSOQhw4Bb95oLRYTdlLJrpXJx7TV2uSrLuqOHj0KJycn+Pn5wcDAAPPnz8fp06d5pV0hoFAo0L9/f8TGxqJOnTqYo+zAznTasmXLkJaWhvr166NJk2yayDLREZFOTL0CwJ2YOwCA6rbVMz+gUADvti5TjWZ9gUM5Z3yfXg4AsOagl7oi5s/y5UBaGlCvHvDdd58+7uwMVK0qPGe/jvfZK2QCAwPx9u3bbFuZfEwbU7BfZVGXnJyMUaNGoW3btnj58iWqVq2KS5cuYcqUKdyqpJBYvHgx/P39YWJiwu1LCoi4uDisWrUKgHAtHY+U667Lly/j8ePHMDMzQ6dOnUTNcjtGGKn7pKg7dw54/lxo0tumTY6P91P7mQCAf6z+Q+L1S2rLmSeJicDKlcLtSZOE6daP8RSsaJTFWevWrbNsZfIxZVEXEBCAlBTNLMb56oq669evo27dulixYgUAYNSoUbh27Rrq1KkjcjKmLnv37lW1wVi2bBmqVKkiciKWEytXrkRCQgKcnJzQvn17seOwz9i6dSsAYXWyWQ6mNTWFiFRFXTXbapkfVE69du0KGBnl+JgtGvZFpTRzJBgB2zeMVVPSPPL2BuLjgcqVgc8Vz++KutRTx3Hixh4suLAAE49PxPRT0/H3zb/xJP6JVuJ+bXJ6PZ1S9erV4ejoiNTUVM21NqGvhEwmo3nz5pG+vj4BIHt7ezpy5IjYsZiaHTp0iAwMDAgADRw4kBQKhdiRWA4kJiaSjY0NAaDt27eLHYd9Rnp6uuq9Evtn6MuElwQvkMRLQikZKe8fSE8nsrYmAoiOH8/1cRf7jCV4gZx/AinCw9UXODfS04lKlRI+h3XrPvvUF29f0Ji+tlR0CgheWX98t/E7OvzgMP9MVJOIiAgCQBKJhGJiYnL8uiFDhhAAGjVqlEZyfRUjdeHh4WjatCmmTZsGmUyGrl27IjQ0FG1yMSTPdF9AQAC6deuGjIwM9OzZk9uXFCDe3t549eoVKlSogO4f7c3JdMuJEyfw6tUr2NnZoWXLlqJmefBa2P2hjGUZGOsbv3/A3x94/RqwswPysL/zjx1nwEQuRUhx4MKKLBYnaIOPD/DsmbCtWd++WT5FQQosvbgUlZZXwp8VYvDGGCiZZoie1XtifP3x+MnlJzQs1RBSiRTn/juHdtvbocOODnj+9rmWP5nC58NWJjY2WWxNlw1NX1enr5Gj6ggiwj///INRo0YhISEB5ubmWL58Ofr378+/7AuZy5cvo2PHjkhNTUXHjh2xZcsWvj6ygEhPT8fCd41VJ02aBH39Qv1jqcBTTr326tVL9PcqLFZoDVGpWKXMDyivLeveXdiBIZesTKzQ274VNkQfxcoIXzSKjQW02d6K6P2WYGPGAMbGnzzlVfIr9N7bGyceC1uEfWtbBzOXXkerR+mQPlsMODionvsi4QWWXFyC5UHLcTjsMGquqQmfH3zQonwLrXw6hVFup16VWrRoAX19fTx8+BAPHz5ExYoV1RtMI+N/OuDVq1fUrVs3AkAAqGHDhvTo0SOxYzENuHnzJllaWhIAatGiBaWkpHz5RUxneHt7qy6JSE1NFTsO+4yEhAQyNTUlAHT58mWx49CUE1MIXqARB0e8vzM5mcjCQpi2PH8+z8e++eIGwQukPx0UMWeSGtLmwpEjQn5zc6LY2E8evv/qPpX/szzBC2Q615TWXFlDcoWcqFEj4XWLF2d52DvRd6j2mtoEL5DeLD3acH2Dpj+TQik9PZ2KFCmS5++Dpk2bEgD666+/1J6tUE6/Hj9+HE5OTti7dy/09fUxd+5cnDlzBuXLlxc7GlOze/fuwd3dHfHx8WjQoAH27dsH4yz+qmW6SS6Xq7YEmzBhAoxycUE70759+/YhOTkZFStWhKurq9hx3o/UWX8wUnfkCJCQAJQqBdSvn+dj17Svhe+Mq0CmB6y+vALQ0GrFLClH6YYO/WRrs5CoEDTa2AiP4x6jnGU5XB58GcNchkEqkb7vWZfNXrBVbaviwsAL6OPUB3KSY/LJyYhLidPkZ1IoXbx4EW/fvoWNjU2eGqRrcgq2UBV1KSkpGDNmDFq3bo3IyEhUqVIFly5dwrRp03gqrhAKDw9Hy5YtERMTg9q1a+PQoUMwNzcXOxbLhb179yIsLAzFihXD0KFDxY7DvkA59erp6akTl7BkOf2qnHrt1QvIQZuJzxnTbhYAYE21ZKRs9s7XsXLsyhXg9Glh2njs2EwP3Yq+heabmyMmOQa1S9TGpcGXMjdd/uEHQE9POMbDh1ke3sTABFu6bMGMxjPwr8e/sDLJZj9clq3ctjL5mLKoO336tPpbm6h97E8k169fp2rVqqmmW0eOHElJSUlix2IaEhERQeXKlSMAVK1atVytPmK6QaFQUM2aNQkAeXl5iR2HfcHLly9JKpUSAAoLCxM7DikUCrKYZ0HwAt2NuSvc+fYtkbGxMAV5/Xq+z5Ehz6Cys4sRvEBr2toSyWT5PuYX/fCDkL9fv0x3P3z9kIovLE7wArmuc6W4lLisX9+qlfD6337TfNavlPLn1tatW/P0eoVCQQ4ODhpZQV7gR+qU0zf16tXDnTt3UKJECRw+fBgrVqyAqamp2PGYBsTExKBly5YIDw9HhQoVcOLEiVytPmK64ejRowgODoaZmRlGjRoldhz2BT4+PlAoFHBzc1P/xd15EJsSi4T0BABAWcuywp379wOpqUJft1q18n0Ofak+xjSZDABYUiEGcr+9+T7mZz18COx9d46JE1V3RydFo/XW1ohKioJzcWcc8zwGS2PLrI/BjYg16sWLFwgODoZEIkHr1q3zdAyJRKKxKdgCXdQ9efIEzZo1w5QpU5CRkYHOnTsjNDQ016tRWMERHx+PVq1a4d69e3B0dMTJkydRsmRJsWOxPJg3bx4A4KeffkIxba4sZHmi3BbM09NT5CSC8PhwAIC9uf37dibKQsbDI+vdF/JgUL2fYEnGeGAD7P9nmrAyVVMWLxaO3749UEOYVk3OSEbHHR3xKO4RylmWwzHPY5+fMu3SBTA0BG7fBkJDNZf1K6VsZeLq6pqvwQQu6j5ARNiyZQtq1qyJc+fOwdzcHBs2bICvry+P2BRiiYmJaNu2LW7evAk7Ozv4+/vzPr0F1Llz53D+/HkYGhril19+ETsO+4KwsDAEBQVBT08PPXv2FDsOAKh2SVCN0r1+DRw/LtzO4V6vOWFhZIGRdYcDAObZPwJpaieAqChg0ybh9iShN56CFBiwbwCCngehmEkxHOlzBCXMS3z+OJaWQLt2wu1sFkywvMtrK5OPtWzZEvr6+ggLC8OjR4/UEQ1AASzqYmNj0atXL/Tr1w9v375F/fr1cfPmTQwcOFAnLtxlmpGSkoLvv/8ely5dgpWVFU6cOIHKlSuLHYvlQXJyMia+m1r68ccfYW9vL3Ii9iXKUTp3d3fY2dmJnEYQHieM1JWzKifcsXcvIJMJ067ffKPWc41pPg2mpI9rJYGj6zTUjHjFCiAtDahXD/juOwDArIBZ2H1nNwykBvDr6YcqNjnc8lBZ1O7cqdmRxa9MRkYGTpwQ+gLmt6grUqQIGjZsCEC9o3UFqqg7efIknJ2dsWvXLujp6WH27Nk4e/YsKlSoIHY0pkHp6eno3r07Tp8+DXNzcxw9ehTOzs5ix2J5kJaWhq5du+Ly5csoWrSoao9epruISOemXoH3I3XlLN8VdcpRKWVbDzWyNbPFT9X6AwBmWlwFBQer9wSJicDKlcLtSZMAiQQ+t3ww++xsAMDaDmvRuEzjnB+vQwfAzAx4/FhYCcvU4uLFi3jz5g2sra3z1MrkY5qYgi0QRV1qairGjRsHd3d3PH/+HJUrV8bFixcxffp00TuaM82Sy+Xw9PTEoUOHYGJigkOHDsHNzU3sWCwPZDIZPDw8cOzYMZiZmeHw4cM8fV4ABAUF4eHDhzA1NUWnz20qr2VP3jwBAJQpWgZ48QJQTotqaHp4Yru5MFXo4YoDsH/1GPUefMMGIC4OqFQJ6NQJ115cw4/7fwQAjK8/Hj/W/jF3xzMzA77/XrjNCybURll8tWnTRi1t0j5sbZKamprv4wEFoKgLDg6Gi4sLli1bBgAYPnw4rl+/rhONL5lmKRQKDB48GLt374aBgQH8/PzQuHEu/lplOkOhUGDAgAHw8/ODkZERDhw4gAYNGogdi+WAcpSuc+fOOtUH8tmbZwCA0kVLA7t2CdOMDRoAZcpo5HzFzYtjbKV+AIBp+mcge/JYPQfOyACWLBFuT5iAyORodNrZCSmyFLSp2AZ/tPwjb8dVjlj6+AByuXqyfuXUdT2dkpOTExwcHJCSkoIzZ86o5Zg6W9QpFAosWrQIbm5uuH37Nuzs7HDw4EGsXr0aZmZmYsdjGkZEGDNmDP7++2/o6enBx8cnz8vHmbiICCNGjMC2bdugr6+PPXv2oHnz5mLHYjmQkZGBne+mNfv06SNymsyevRWKulJFS72felXjAomsTPphKWzSDXDXFli7ZrB6DrprF/Dff4CdHVI8uqOzT2c8T3iOb2y+wc5uO6EnzeOIUOvWwqKJyEjg3Dn1ZP2KqaOVycc00dpEJ4u6//77Dy1atMDEiRORnp6OTp064datW2jfvr3Y0ZgWEBGmTp2KFStWQCKR4O+//0aXLl3EjsXygIgwYcIErF27FlKpFFu3bkWHDh3EjsVy6OTJk4iJiYGtrS3c3d3FjqOSmJ6I+NR4AIDj6wzg8mVh94ju3TV63qLGRTGrsrDzyXScRsyU0ULrkLwiUm0Jphg9Cv2PDlOtdP3X418UNS6a92MbGgLdugm3eQo239TVyuRjhb6o2759O5ydnREQEAAzMzOsX78efn5+sLW1FTsa04KXL1+iffv2qv1AV69erVMXZ7PcmTVrFpa8m1ry9vbWmXYYLGeUU689e/aEgYGByGnei3gbAQAoYlQERfwOC3c2awaU+EK7DzUY6rkUtRLMEWcCjAtbLvSTq11bmEKNjMzdwY4dA0JCAHNzTHGOVq109e3hi4rF1NDgWTkFu2ePMM3L8kzdU69KytYmDx48wOPHapjSV+v+FPkQGxtLvXr1Um3zVa9ePZ3YioZpj5+fH9nY2BAAMjIyorVr14odieXDwoULVd/Pf/31l9hxWC4lJCSQqakpAaCLFy+KHSeT4w+PE7xA1VdWJ3JyErbF8vbW2vkvPz5HUi8pwQvkV11POD9AJJUSubsT/fMPUULClw/UrBkRQEumNCF4geAF+ufmP+oLKpMRFS8uZDt0SH3H/cpkZGRQ0aJFCQBdunRJ7cdv0qQJAaAVK1bk+1g6UdT5+/uTo6MjASA9PT3y8vKijIwMsWMxLXn79i0NGjRIVQDUqlWLbt26JXYslg+rV69WvZ/z5s0TOw7Lg61btxIAqlChAikUCrHjZLLh+gaCF6jN6kZCwWJgQBQbq9UMk45PIniBrH8vRk+X/0ZUv/774g4gMjUl6tOH6MgRoqx+nwUFEQG01lWqKujmn5uv/qCjRgl5PD3Vf+yvxNmzZwkAWVtbk0wD+//+/vvvBIDatWuX72OJWtSlpqbS+PHjVT/8K1asqJEqmOmuwMBAKl++PAEgiURCkydPptTUVLFjsXz4559/SCKREACaNm2a2HFYHrVt25YA0IwZM8SO8olZAbMIXqDBM2oJBUvHjlrPkCZLo7pr6xK8QHXX1qXEtESihw+JZs0iqlgxc4FXvDjR2LFE164RKQvk7t1phStUBd3E4xM1UzxfuCBkMDcnSk5W//G/AlOnTiUA1Lt3b40cPzg4mACQiYkJpaSk5OtYohV1ISEh5OTkpCrohg4dSgk5Ga5mhUJ6ejpNnz6dpFIpAaDSpUtTQECA2LFYPu3du1f1no4ePVrnRnhYzkRFRZGenh4BoPv374sd5xPD/h1G8ALN7GIlFCzbt4uSIzwunKz/sCZ4gVpvaU0pGe9+ISsURJcuEY0cSWRtnbnAq1qV5NOm0rQW7wu6cUfHae57RaEgKlNGOPfu3Zo5RyFXq1YtAkBbtmzRyPEVCgU5ODgQADp69Gi+jqX1ok4ul9PixYvJ0NCQAJCtrS0dOHBA2zGYiO7fv0+urq6qgt7T05Pi4+PFjsXy6ciRI2RgYEAAaODAgSSXy8WOxPLIy8uLAJCrq6vYUbLUcXtHghdobV0QmZjk7Po1DQn8L5BM55oSvEBNNjWh6MTozE9ITyc6cICoRw8iIyN6YQ5q7fm+oJt5eqbm//iZPFko6rp10+x5CqEXL16oZpKio6O//II8Ul6CNGbMmHwdR6tF3X///UfNmzdX/TLv0KEDvXz5UpsRmIgUCgWtWbNGdfG1paUl7dy5U+xYTA0CAgLI2NiYAFDPnj01ct0J07zY2Fjy8PBQ/YxetWqV2JGypJz2/LcyiHr2FDsOBYQHkMU8C4IXqMSiEvT3jb8pXZae6TmxybH0+wkvKjLLhOAFMv4V9M++2doJeOOGUNQZGRG9eaOdcxYSGzdu1MofOHv27CEAVLly5XwdR2tF3Y4dO8jS0pIAkKmpKa1Zs4anZr4iL1++pA4dOqh+WTRv3pyePXsmdiymBpcvXyZzc3PVH2rp6elffhHTOadOnfpkwZquFuf2i+wJXqBr9iDat0/sOEREFBoVSlVXVFWNwFn/YU0dt3ckT19ParypMRnOMVQ95rLOhW5FaXExmEJB9M03QmG3ebP2zlsIdO/eXSvXlsbHx5O+vj4BoEePHuX5OBov6uLi4qhPnz6qX+Zubm46eY0G05wDBw6Qra0tASBDQ0NasmQJT80VEsHBwWRlZaUq1PN7kS/TPuWCNeXiFl1fsCaTy1TtRF6UtCDSoYVVKRkpNP/cfCq+sLiqgPvww2mVE22+uZlkchGKZS8voahr21b75y6gMjIyVINR2mjr07hx43y3NtFoUXf69GkqVaoUASCpVEozZszgv+K/IgkJCTRkyBBVQe/k5EQhISFix2Jqcu/ePbKzsyMA1KBBA17oVACFhISQs7NzgVqw9uLtC4IXSDoDJPuxv9hxspQhz6BzT8/RqqBVtPDCQtp8czPdjbkr7uzU/ftCUaevTxQTI16OAuTcuXMabWXysfnz5xMAat++fZ6PoZGiLjU1lSZOnKj6y69ChQoUGBioiVMxHXXp0iWqWLGi6gLTCRMmcKuSQiQ8PFw1VVe7dm2Ki4sTOxLLhawWrO3fv1/sWDly9eklgheo5C8gOnZM7DgFS506QmG3Zo3YSQqEadOmEQDy8PDQyvlu3ryZ79Ymat8m7NatW6hXrx4WLlwIIsLgwYNx8+ZN1K9fX92nYjrmzZs32LRpE1q1aoUGDRrg4cOHcHR0hL+/PxYuXAgjIyOxI7J8UCgUOHPmDIYPH446deogIiICVatWxbFjx2BpaSl2PJZDERERcHd3x/jx45Geno727dsjNDQU33//vdjRcuTFBWG7JvtUfaB5c5HTFDC9egn/8l6wOaKprcGy4+zsjJIlSyIlJQVnz57N20HUVWHK5XJaunQpGRkZEQCysbGhfTpyASvTnOTkZNqzZw917dpV9d4rP3r37k2xWu7yztRLoVDQtWvXaMKECaqROeVH1apV6fnz52JHZLmwc+fOAr9g7eCW6VRjrBF5TsnfKsGv0tOnwkidREIUESF2Gp0WGRmp+lkXFRWltfMOHDiQANDYsWPz9Hq1FHURERHUsmVL1RegXbt2FBkZqY5DMx2UkZFBx44do/79+5OFhUWmX/TVqlWj3377jR4+fCh2TJYPDx48oFmzZlGVKlUyvb9FixalgQMH0smTJ3V2ZST71McL1lxdXQv2gjWFQqcWSBQoDRsKhd2SJWIn0WmbNm0iAOTi4qLV8+7evZsAUJUqVfL0+nwXdT4+PqrVbyYmJrRq1aoC95cf+zKFQkGBgYH0888/qy6OV36ULl2aJk+eTMHBwfzeF2DPnz+nJUuWkIuLS6b319jYmLp3705+fn58XWQBxAvWWCYrVghFnY42ltYVPXr0IAA0ffp0rZ43Li5OtZvL48ePc/36PBd18fHx1LdvX9UPfhcXF7p3715eD8d0VGhoKE2dOpXKli2b6Re9jY0NjRgxgs6dO8ftSQqw2NhYWr9+PTVr1ky1sAnv+pS1adOGNm/eTG+4WWmBlJqaSpMmTVK9r+XLl+cFa4woKopIKhUKO55RydKHrUzE+J757rvvCACtXLky16/Vz8t1eGfPnkW/fv3w9OlTSKVSTJs2DTNmzICBgUFeDsfUzM/PD3Fxcfk6xosXL+Dj44Nbt26p7jM3N0eXLl3g4eGBli1b8vudR6dPn0Z4eLioGdLS0nD06FEcOXIEGRkZqvsbNmyI3r1744cffoCdnZ2ICcVz8+ZNXL9+XewY+aJQKLBixQoEBwcDAAYNGoSlS5fCwsJC5GRMdHZ2QIsWwIkTwM6dwP/+p9bDx8fHw9fXV63H1LaIiAjEx8ejWLFicHNz0/r527Zti3PnzuHIkSMYMWJE7l6c2yowNDRU9ZdfuXLl6MKFC7muJJlmOTk5ZRpVy8+HoaEhde7cmXx8fCgpKUnsT61Q6Nmzp9reH3V8ODs70/z58yk8PFzsL41OmD17tujvibo+bGxsyM/PT+wvKdM1GzcKI3XVq6v90Hfv3hX9/3t1ffTq1UvtX5+cuHHjBgHCYqbctjbJ9UhdjRo14OnpCQMDAyxbtoz/8tNBTZo0QZkyZfJ1DGNjY7Rp0wZdu3aFlZWVmpIxAKhTpw6SkpLEjgFnZ2d4eHigRo0aYkfRKZUqVUKHDh3EjpFvjo6OmDlzJkqUKCF2FKZrunQBFi8W/s3IANQ462Jubl4ovn9MTEwwY8YMUc5ds2ZNNGjQALVq1UJiYiKMjY1z/FoJEVFuTyiTyaCvn6eZW8YYY4wxpgF5KuoYY4wxxphuUfuOEowxxhhjTPu4qGOMMcYYKwS4qGOMMcYYKwS4qGOMMcYYKwS4qGOMMcYYKwS4qGOMMcYYKwS4qGOMMcYYKwS4qGOMMcYYKwS4qGOMMcYYKwS4qGOMMcYYKwS4qGOMMcYYKwS4qGOMMcYYKwS4qGOMMcYYKwS4qGOMMcYYKwS4qGOMMcYYKwTyVNTJZDJ152CMMcYYY/kgISLK7Yv69esHfX19/Pnnn7CwsNBELpYPo0aNwpMnT/J1DGNjY7Ru3RrdunWDlZWVeoIxAMCCBQtw7tw5sWPA2dkZHh4eqFGjhthRdMrOnTuxbds2sWPkm6OjI2bOnIkSJUqIHUWtAgMDMX/+fLFjiM7IyAi//voratWqJXaUfPnvzX9YGbQS91/fRxXrKhjuMhzlrMqJHUsjEtISsDl4M65FXkOpIqUwqPYglLEso96TUC6FhoaSRCIhAFSuXDk6f/58bg/BNMzJyYkAqOXDwMCAOnXqRDt37qSkpCSxP7VCoWfPnmp7f9Tx4eTkRPPmzaPw8HCxvzQ6Yfbs2aK/J+r6sLa2Jl9fX7G/pGq1d+9e0b+uuvLRoUMHsd+OfDkdfpqKzi9K8ILqw3SuKe0M3Sl2NLULfhlM5ZaVy/S5FplfhI49PKbW8+RppO7s2bPo168fnj59CqlUiqlTp2LmzJkwMDDI7aGYBvj5+SEuLi5fx4iMjISPjw9CQ0NV95mbm6Nz587w8PCAu7s7v995dPr0aYSHh4uaIS0tDceOHcORI0eQnp6uur9Bgwbo3bs3unfvDjs7OxETiufmzZu4fv262DHyRaFQYOXKlbh58yYAYODAgVi2bFmhmFl58uQJTp06JXYMUcXExGDKlCkwNTXF69evYWxsLHakXHsU+wh119XFm7Q3cHNwg0cND/jd88PZp2chlUixq90mdHPpJ3ZMtXjw+gEabmyIV8mvUKZoGfSr2Q/HHx3H5eeXYW5ojitDruAbm2/Uc7K8VoPx8fHUr18/1V8MdevWpbt376qv3GQ6ITQ0lKZNm0Zly5b9ZATgp59+orNnz5JcLhc7Jsuj2NhY8vb2pubNm6tG4AGQnp4etW7dmv7++2968+aN2DFZHqSmptLkyZNV72v58uXpwoULYsdiaqBQKMje3p4A0PHjx8WOk2sKhYJabWlF8ALV965PKRkpREQkV8hp6IEhwojd/0C3b50WN6gaJKcnU/WV1QleIJd1LhSbHEtERGmyNGr6d1OCF6jp301JoVCo5Xx5LuqUdu3aRVZWVgSATExMaOXKlWoLx3SHQqGgixcv0qhRo8jOzi5TgVeqVCmaNGkS3bx5k9/7Auz58+e0dOlScnV1zfT+Ghsb0w8//EC+vr6UkpIidkyWSwEBAVS6dGkCQFKplKZPn07p6elix2L59OOPPxIAGjdunNhRcu3EoxMEL5DhHEN68OpBpsdkgeepZV9hetJlRgnKkGeIlFI9JhybQPAClVhUgiITIjM9Fh4XTsa/GRO8QAfvH1TL+fJd1BERRUREkLu7u+qXQNu2bSkyMvLLL2QFUkZGBh0/fpwGDBhARYoUyVQAVK1alebMmUMPHz4UOybLh7CwMJo9ezZVqVIl0/tbpEgR+vHHH+nEiRMkk8nEjslyKD4+njw9PVXvo6urK92/f1/sWCwfdu3aRQDom2++ETtKrrXY3ILgBfr50M+fPjhuHD23AFlOFgq75WcXaT+gmoRGhZJ0lpTgBfr3/r9ZPmf8sfEEL1Czv5up5ZxqKeqIiORyOS1btoyMjIwIANnY2JCfn5+6Ds90VEpKCu3du5e6deumeu+VHx4eHhQbGyt2RJYPCoWCrl+/ThMnTiRHR8dPCvjnz5+LHZHlws6dO8nS0lI1s7J69WoeXS+g4uLiSE9PjwAUqEVO91/dJ3iBpLOk9CTuSeYH5XIiR0cigFZ9q0/wAlnOMlFNWRY0yinmrj5ds33Of/H/kf5s4XO9E30n3+dUW1GndOvWLapZs6bqB/+gQYPo7du36j4N00Hx8fG0adMmatWqFUmlUgJAjo6O5O/vL3Y0pgZyuZzOnDlDw4cPV11yUbVqVYqOjhY7GsuFZ8+eUYsWLVQ/o9u3b08vX74UOxbLg0aNGhEAWrVqldhRcmzayWkEL1C7be0+ffDCBSKAyMKCZIsWUo2fhNG6yccnaj9oPp0OP03wAhnMNqBHsY8++9yO2zsSvEDTTk7L93nVXtQRCRfoTpo0KdMFuoGBgZo4FdNRly5doooVK6p+cYwfP55SU1PFjsXUJDw8XDVyV7t2bYqLixM7EssFuVxOS5YsUY2u29ra0v79+8WOxXJp7ty5BIA6duwodpQcUSgUqrYePrd8Pn3CmDFCUefpSZSYSAfqmAmLJmYZUXRiwfrjsfH6hgQv0IiDI774XJ9bPgQvUNllZfM9cq6Rok6JL9D9uiUkJNDQoUNVhZ2TkxOFhISIHYupyb1791SLZurXr08JCQliR2K5FBoaSs7Ozqrv0SFDhvD7WIBcv36dAJCZmVmB+KM5+GUwwQtk/JsxJaYlZn5QLicqWVIo6g4cICIixbSpVHeoMFo39eRUERLnzflj3sIo3UwpPXvz7IvPT0pPUi2YCI0Kzde5Nbr3a5MmTRASEgJPT08oFArMmTMHDRs2xIMHDzR5WqYjzM3NsXbtWhw4cAC2trYIDQ2Fi4sLlixZAoVCIXY8lk9VqlTBiRMnYGVlhYsXL6JTp05ITU0VOxbLhRo1aiAoKAgTJkyARCLB+vXrUbt2bVy6dEnsaCwHatWqhRIlSiApKUkndqn5kn339gEAWlVoBTNDs8wPBgYCL14ARYoArVoBACQ/j8KvF/QAAKsuLUdCWoI24+bZgqO/AgD63yQ4Ksy/+HxTA1M0L9ccAHDwwcF8nVujRR0AFC1aFFu2bMHOnTthaWmJK1euoHbt2lizZg0o932PWQHUsWNHhIaGokOHDkhPT8f48ePh7u6OZ8+eiR2N5ZOzszOOHj0Kc3NznDp1Ct27d0dGRobYsVguGBkZYeHChfD390epUqXw8OFDNGrUCF5eXpDL5WLHY58hkUjQpk0bAMCRI0dETvNlxx4dAwB0qNTh0wd37RL+7dwZMDISbtvb43uXPqjyCngjS4T3dW/tBM2HB9dP4EDRlwCA8RcI2L8/R69Tfk2OPMzn+5ivcb5cevbsGTVv3pwv0P1KKRQKWrt2LZmamhIAsrS0pB07dogdi6lBQEAAGRsbEwDq2bMntzspoOLi4qh3796qn9EF6QL8r5WPj49q0ZIue5v6VrXKMzwuPPODMhmRvb0w9Xrwo35twcG0ro4wBVt2kSPJ5Lr9s+XnyU4EL1D7PhLh82mXxYKQLDx49YDgBTKaY6RqxpwXGh+p+5CjoyNOnDiBJUuWwMjICIcOHYKTkxMOHDigzRhMJBKJBEOHDsWNGzfg5uaG+Ph4eHh4wNPTE/Hx8WLHY/nQpEkT+Pn5wcDAAD4+PhgyZAhPsRdAlpaW2LZtG7y8vAAAmzZtEjcQ+yJ3d3dIpVLcvXsXT58+FTtOts4+PQuZQobyVuVR1rJs5gcvXAAiI4GiRQF398yPOTvD07Y5rJOBJ4kROHBfd+uFty+f4G89YWvNsS4/C3cePw7kYNvOisUqoqRFSaTJ03ApIu+XP2i1qAMAqVSKcePG4cqVK3ByckJMTAw6deqEoUOHIjExUdtxmAgqV66M8+fPY8aMGZBKpdi2bRucnZ0REBAgdjSWD23atMHOnTuhp6eHTZs2YezYsXyJRQH1008/QU9PD1euXOFroHWclZUV6tevD0C3p2DP/Sdc89esbLNPH1ROvXbpAhgafvKwydiJGHJNuL3i4jINJcy/Ld6jkWgIfJNghBajlwHOzoBMBuzb98XXSiQSNC3bFAAQ8CQgzxm0XtQpOTk54cqVK59coHv58mWxIjEtMjAwwKxZs3D+/HlUqFABz549Q/PmzTF58mSkpaWJHY/lUdeuXfH3339DIpFg+fLl+PXXX8WOxPLAzs4Ord5drL5t2zaR07Avadu2LQDdLuoCnwUCABqWapj5Abkc2LNHuN2jR9Yvbt0aw99WglQBnHp2Fvde3dNg0ryhtDSsjhG+/iPKdIdEKn3/+SiL1i9Qfm3yM1Kn1WvqsnPq1ClVzys9PT2aOXMmZWQU7P3eWM4lJCTQ4MGDVdfx1KxZk27duiV2LJYPa9asUb2f8+bNEzsOy4OtW7cSAKpQoQLvOqHjrl27ptOtTdJl6aqWHXdj7mZ+8PRp4dozKyuitLTsD7JhA33fS7i2bsyhURrNmxfn1v5P6Kn3PwnFv3nXU+/+feFz09cnevXqi8e4+vwqwQtk9btVnr/nRBup+1CzZs0QEhICDw8PyOVyzJo1C40aNUJYWJjY0ZgWmJubY/369di3bx9sbGwQHByMunXrYt26dWJHY3k0bNgwLFq0CAAwbdo0LF++XORELLc6d+4MMzMzPHr0iGdQdFytWrVQvHhxJCUl4fz582LH+URwVDBSZamwMrZCZevKmR/8wtSrSu/e+CmsKABg87UNSM5I1lDaPCDC2ssrAQAeRnVRtIitcH/lykCtWjmegnUq7gQjPSPEpcYhLDZv9Y9OFHWAcF3A9u3bsX37dhQtWhSXL19GrVq1sH79er4u5yvRqVMnhIaGol27dkhLS8OwYcOwZs0asWOxPBo/fjxmzpwJABg9ejQ2btwociKWG2ZmZujcuTMAnoLVdVKpVKdbm1x7IVwQ5+bgBqnkg7JDJgP27hVuZzf1qmRsjFbfj0PZOCBekYzdt3M2pakNccf2YY99PABgaLd5mR/MxRSsoZ4h6tjXAQAEPQ/KUxadKeqUPDw8EBISgqZNmyI5ORlDhw5F586dER0dLXY0pgUlSpTAwYMHMXnyZADAiBEjsHXrVpFTsbyaOXMmxo8fDwAYMmQIfHx8RE7EcqNPnz4AAB8fH+4/qON0+bq6a5FCUacsWFTOngWio4FixYDmzb94HOlPIzAkRB8AsO70YrXnzKutPv9DqgHgLLOGa9WWmR/s3l34198fePXqi8dSfo2CXwbnKYvOFXUAULp0afj7+2PRokUwNDTEgQMH4OTkhEOHDokdjWmBRCLB/Pnz8fPPP4OIMGDAAPj6+oodi+WBRCLBwoULMWzYMCgUCnh6euLff/8VOxbLIXd3d9ja2iImJgYnTpwQOw77DGVrkzt37uC///4TO04m1yOvA8iiqFOOXnXtChgYfPlAtrb48Zte0FMAgW9v4Xb0bTUnzT26fRvrTe4CAIbUHwmJRJL5CRUrAnXqCAtC/Py+eLyaxWsCAG5G3cxTHp0s6gBhOHn8+PEICgpC9erVER0djQ4dOmD48OFISkoSOx7TMIlEgj///BMDBgyAXC5Hr169cPToUbFjsTyQSCRYtWoVPD09IZPJ0L17d/j7+4sdi+WAvr4+evXqBYCnYHVdsWLF8O233wLQrdG6DHkGQqOF3m117eu+fyA3U68fsB/zKzreF26v91+grph5dnXl/xBaHDBSSNGn2disn5SLKdhaJWoBEEbq8nLpmc4WdUo1a9bE1atXMW7cOADA2rVrUbt2bVy5ckXkZEzTpFIpvL290aNHD2RkZKBLly44c+aM2LFYHkilUmzatAldunRBWloaOnXqhMDAQLFjsRxQTsHu27ePe4nqOF2cgr3/+j7S5ekoYlQkc9PhgABhOtLaGmiWRe+67FSpgiH6rgCALfd8kCoTcb/pqCh4vxBmHrqVbAErE6usn6ecgj11CoiJ+ewha9jVgFQiRUxyDCITI3MdSeeLOgAwNjbGkiVLcPLkSTg4OCAsLAz169fHnDlzIJPJxI7HNEhPTw9btmxB+/btkZqaig4dOiAoKG8XkDJx6evrY8eOHWjdujWSkpLQrl07PHnyROxY7Avc3NxQsWJFJCcnY38O97Fk4lAWdf7+/khPTxc5jeBW9C0AQrGSaWpSOWrVrRugr5+rY7YeNB+l3gCx0jT4XflHXVFzLWnVMuyoJuycM6TV1OyfWL484OICKBTAFy4lMjEwQaVilQAgT9PLBaKoU2rRogVCQkLQs2dPyOVyzJgxA40bN8ajR4/EjsY0yNDQELt370bz5s2RmJiINm3aICQkROxYLA+MjIzg6+uLevXq4c2bN/j999/FjsS+QCKRqEbreNGSbqtduzaKFy+OxMREnWltoirqbGu8vzMj431xoxzFygW9ps0xKNIeALD+uEg/Q1JSsOv0CiQYARUMiqPJu90gspWLKdhqttUAAHdi7uQ6VoEq6gDhuoEdO3Zgy5YtKFKkCC5evIiaNWtiw4YN3PqkEDMxMcH+/ftRv359xMXFwd3dHffv3xc7FssDU1NTLFy4EICwt2hkZO6nGJh2KYu6EydOcCcCHaaLrU0+HKlTOX0aeP0asLEBmjbN/UElEgxsPQVSBXAa4QiLFGHBxJYt8K4kXI4wuNHoTxdIfExZvAYEAFFRn31qVZuqAL6Sog4Q/nL09PRESEgIGjdujKSkJAwePBhdu3ZFzBfmq1nBZW5ujsOHD6NWrVqIjo5Gy5YtefqugPruu+/QqFEjpKenY8mSJWLHYV9QqVIluLm5QS6Xc1saHadr19Upi7rqdtXf35mPqVelUn1+QpsIYwCA946J+cqYawoFbnvPR2BpQA9S9K/945dfU7Ys4OaWoylY5Ujd3Vd3cx2tQBZ1SmXKlMGpU6fwxx9/wMDAAPv27YOTkxMOHz4sdjSmIZaWljh+/DiqVq2KiIgItGjRAi9evBA7FsuDadOmAQBWr16N2NhYkdOwL+Ep2IJB2drk9u3bePbsmahZ0mRpCI8PB/B+9CnT1GsuVr1+wsAAQyv2BABsijmOtAwtLpg4cgTexZ4AADpUaAt7C/ucvS6HU7DKou52zO1cz0AW6KIOEC6knzRpEoKCglCtWjVERUWhffv2GDlyJJKTdWgbEaY2tra2OHHiBMqVK4fHjx/D3d2dR2gLoDZt2qBWrVpISkribcQKgJ49e0JPTw9BQUG8haMO06XWJg9jH0JBClgYWqCEeQnhTn9/IC4OsLMDGjfO1/HbD1uEkgkSxBjLsW/3bDUkzpnUJQvwj9BODkPcfsr5C3/4Qfj3zBng5ctsn1bFpgokkCBNlob41PhcZSvwRZ1SrVq1cPXqVYwZMwYAsGrVKtSpUwdXr14VORnTBAcHB/j7+8PBwQF37txB69atER8fL3YslgsSiQRTpworxv766y9ul6HjihcvjpYthW7527dvFzkN+xzlFKzYs1b3XwvXPVexqfL+mjM1TL0q6RezwaB37U3WXtXSlpI3bmBvzFnEmgKlzRzQpmKbnL+2TBng228Bovc9+rJgamCKZ+Oe4e3Ut9m3SclGoSnqAOFi+mXLluH48eMoWbIk7t+/j/r162Pu3LmQy+Vix2NqVq5cOZw8eRK2tra4ceMG2rdvz4VBAdOtWzdUqlQJsbGxWLdundhx2Bd4enoCEKZgeWGa7tKV1ib3X70r6qyrCHekp7/fVSE/U68fGOK5RFgwUTQO9wIPqOWYn7VkCda4CDcHuw6DnlQvd6/P4RSsQxGHzPvk5lChKuqU3N3dERISgh9++AEymQy//vorGjdujMePH4sdjanZN998gxMnTsDS0hKBgYHo1KkTUlNFbEbJckVPT0+1z++iRYuQlpYmciL2OZ07d4apqSkePnzIDeB1WO3atWFnZyd6axPVSJ2yqDt5EoiPB4oXB777Ti3nKFWjITokCte0rd47RS3HzFZEBEL9d+B8GUBPoodBdQbl/hjKKdhz5wANXA9eKIs6ALC2tsauXbuwefNmWFhYIDAwEDVr1sSmTZv4L8xCpmbNmjh69CjMzc1x6tQpdO/enTcfL0D69u0LR0dHREZGYvPmzWLHYZ9hbm6OTp06AeBtw3SZrrQ2CYsVrr2sbF1ZuEM5OvXDD4BeLke4PmNkM+EPw78N7yLxmQb71q5YgVV1hFm/zt90RkmLkrk/RqlSQIMGX5yCzatCW9QBwjU7/fr1Q0hICBo1aoTExEQMHDgQP/zwA169eiV2PKZG9erVw7///gtjY2McPHgQffv25Sn3AsLQ0BATJkwAACxYsIB3idFxyinYnTt38nulw3ShtcmjWKHAqlCsApCWBuzbJzygpqlXpZbtR6FykjHeGgOb1/+s1mOrJCYi/u/VqgUSP7vl4zy5aEScW4W6qFMqW7YsAgICMH/+fOjr68PX1xdOTk68QXwh07RpU/j6+sLAwAA+Pj4YOnQoj8oWEIMHD4aNjQ0ePXqE3bt3ix2HfYa7uztsbGwQHR2NkydPih2HZaNVq1aitjZJTE9EVJLQZLeCVQXgxAngzRvA3h5o2FCt55JKpBhVUWi589fb41AkaeDa6o0bsaH8WyQbAtVtq6NJmSZ5P5ZyCvb8eeD5c/Xke+erKOoA4dqdKVOm4PLly/jmm2/w8uVLtG3bFqNGjeLWJ4VI27ZtsWPHDkilUmzcuBHr168XOxLLATMzM9XK9Xnz5kGhUIiciGXHwMAAPXsK/cF4ClZ3FStWDPXq1QMgzmhdeJzQn87K2EpYwamhqVelAX0Xo2i6FA+sFDi8fpJ6Dy6XQ/bnUiwXvpwY++3YL+8g8TkODkCjRsLtPXvyn+8DX01Rp1SnTh1cu3YNP/8sDJ2uWLECdevWxfXr10VOxtSlW7duqj1Fx44di3v37omciOXEyJEjYWFhgVu3buHQoUNix2GfoZyC9fPzQ1JSkshpWHbEnIJ9FPfB1GtqKrB/v/CAmqdelcxNimKoRVMAwMIHfws7N6jLvn3Ya/IETy0BGxMb9HHqk/9jamgK9qsr6gBh78nly5fj6NGjKFGiBO7du4d69eph/vz5fB1WITF+/Hi0aNECKSkp6NOnj6jL+lnOWFlZYcSIEQCE0TqeOtdd9erVQ4UKFZCUlIT9yl/WTOcoi7qTJ09q/Weg6no6qwrA8ePA27dAyZLCIgENGd1/FfTlwNniKbjos0htx6XFi/DHu4G1n91+homBSf4P2q0bIJEAgYGAGqfHv8qiTql169YIDQ1F165dIZPJMG3aNDRt2pT3Ey0EpFIpNm/ejGLFiuH69euYPn262JFYDowdOxZGRka4dOkSzpw5I3Yclg2JRILevXsD4ClYXVanTh1Va5MLFy5o9dzK7cHKW5V/PxrVvTsg1VzZ4WhfBX3JCQAwL/AP9Rz04kUcjbmEG/aAqb4JRrqNVM9xS5Z839ZFjVOwX3VRBwA2NjbYs2cPNm3aBHNzc5w/fx7Ozs7YvHkzjxQUcA4ODvD29gYALFy4EKdOnRI5EfuSEiVKYNAgoffTvHnzRE7DPke5F+yxY8d4mz4dJZVK0bp1awDan4J9Ev8EAFDWtKTGp14/NKXXCkgVwEGbWFwd/j1w9qzQPiSPaMlizH63JmK4y0+wMbVRU1JoZAr2qy/qAOGvzgEDBiA4OBgNGzZEQkICBgwYgB49euD169dix2P50KVLFwwZMgREhL59+/L7WQBMnDgRenp6OHHiBG/zp8OqVKkCFxcXyOVy+Pj4iB2HZUOs6+qevnkKACgTFgMkJgKOjsIWWRpWuXpjeMqqAgB+TfoXaNIEqFgRmDULCA/P3cHCw3EkxBeXSgEmesaY0GCCesMqp2AvXQKePlXLIbmo+0D58uVx5swZzJ07F/r6+tizZw+cnJxw/PhxsaOxfFi6dCmqVKmCFy9eqAo8prvKli2rGgWaP3++yGnY5yjfJ56C1V3K1ia3bt3SWmsTIsLTeKFIKet/TbhTw1OvH5rxywHoS/RwrCLgX90EePwY8PICypcHmjYFNm0CEhK+eBz5n0sxpYXw+2Kk28+wt7BXb9ASJYSiE1DbFCwXdR/R09PDtGnTcPHiRVSpUgWRkZFo3bo1xowZg5SUFLHjsTwwMzPD9u3bYWBgAD8/P2zYsEHsSOwLlFuH+fr64s6dOyKnYdnp1asXpFIpLl26hEePNNjJn+WZtbU13NzcAEBrvVnjUuOQkC4UTaUPBAh3amHqVamCdUUMd/kJADDup/KQbdkMtGwpjIqdOQMMHCgUVP36Af7+Wa+UjY/HxqB1CC0OWOqZY+p3UzUTVs1TsFzUZcPFxQXXr19Xrcb766+/4OLigps3b4objOVJnTp18NtvvwEAxowZgwcPHoiciH1OtWrV0KVLFwDAH3+o6YJnpnYlSpRAy5YtAfBonS7T9hSscpSuuL4lTOKTgNKlgXc987TFq6kXrIytEPrqNlZUjBWaHz99CsybB1SuDCQnA1u2CMVe2bLA//4HfPB74fW6ZZj6nbAX9cwWs1HMpJhmgnbtKoxgBgUB6likSeyLDh06RMWLFycAZGBgQH/88QfJZDKxY7Fcksvl1Lx5cwJAdevWpbS0NLEjsc8ICgoiAKSnp0fh4eFix2HZ2Lx5MwGgypUrk0KhEDsOy4Lye8nCwkIrP/d87/gSvEBuk4sRAUTjx2v8nFlZc2UNwQtkNteMHsU+ev+AQkF08SLR8OFElpZCRuVH/fpEa9ZQb08TgheoxlwHypBnaDZo8+bCuRcsyPeheKQuB9q1a4fQ0FB07twZGRkZmDx5Mpo3b46narqwkWmHss2JlZUVrl27hhkzZogdiX2Gq6sr3N3dIZfLsWiR+npOMfXq0qULTExM8ODBA1y7dk3sOCwLdevWha2tLRISEhAYGKjx80W8jQAAlP7vjXCHFqdePzSk7hA0LtMYSRlJ8PT1RLr8Xa8+iURYtLF6NRAZCfj4AO3aCSNmFy9i+8rh2F4xBVIFsMFjJ/Sl+poNqsYpWC7qcsjW1ha+vr7w9vaGmZkZzp49C2dnZ2zdupUvvC9AHB0dVW1OFixYgNOnT4uciH3O1KnCdSze3t54+fKlyGlYViwsLNCpUycAwNatW0VOw7Ki7dYmz94KCzIcY+VAmTKAq6vGz5kVqUSKzZ03o6hRUVyMuIgxR8Z8+vva2Fgoqg4dAiIicOP3sRjSSdgC7FeztnAr10jzQZVTsFevCos68oGLulyQSCQYNGgQgoODUb9+fbx9+xZ9+/aFh4cH4uLixI7Hcqhr164YPHiwqs1JbGys2JFYNpo2bYpvv/0WaWlpWLZsmdhxWDaUq2B37twJmUwmchqWlXbt2gHQblFX6i2Egik/+6TmU1nLstjSZQskkGDNtTWY5j8t24GY23qxaKO3Hcn6hFalm2P6hAPaCWlrCzRvLtzO5ypYLuryoEKFCjh79ixmz54NPT09+Pj4wMnJCf7+/mJHYzm0dOlSVKpUCc+fP8fQoUN5tFVHSSQSTJs2DQCwatUqxMfHixuIZal169awtrZGVFQUN/nWUcrWJqGhoYiIiNDouSLihEuTHJVFncg6VumIv9r+BQD4/cLv6LmnJ6ISo1SPK0iBbSHb0HBjQ0QnRaNWiVrw8dir+WnXD6lpCpaLujzS19fH9OnTERgYqCoOWrZsiV9++QWpqalix2NfYG5uju3bt0NfXx979+7Fpk2bxI7EstG+fXvUqFEDCQkJWLlypdhxWBYMDAzQs2dPADwFq6u02drkWfRDAICjmT1Qt65Gz5VTP7v9jLUd1kJfqo/dd3ajzLIy6LC9Azx9PVFlRRV4+nniTdobNCrdCCf7noSlsaV2A3bpAujpAdeuAfloD8RFXT65ubnhxo0bGD58OABhBMjV1RXBwcEiJ2Nf4uLiompzMnr0aISFhYmciGVFKpWqrq1btmwZkpKSRE7EsqKcgvXz80NycrLIaVhWtNHaREEKPE9/BQAo1byzqFOvHxtadygCBwbCzcENafI0HAo7hG2h2/Aw9iEsDC3wW7PfcKrfKVibWms/nI0N0KKFcHv37jwfRkI876Q2Bw8exKBBgxAdHQ1DQ0PMnTsXv/zyC6Ra6qLNck8ul6Nly5YICAiAi4sLAgMDYWBgIHYs9hGZTIYqVarg8ePHWLZsGcaMGSN2JPYRIkKFChUQHh6OHTt2oFevXmJHYh+5cuUK3NzcUKRIEbx69UojP+siXz5EybWVIFUAqR0vwcBFu/3pcoKIcPPlTQQ+C0RSRhIqFqsI9/LusDCyEDfYhg3A4MFA7drA9et5OgRXG2rUoUMHhIaG4vvvv0d6ejomTpyIFi1a4L///hM7GsuGnp4etmzZAisrK1y9ehUzZ84UOxLLgr6+vmqXiUWLFiE9PV3kROxjEolENVrHU7C6Sdna5O3btxprbRIRKEztlkjVg0FdN42cI78kEglq29fGSLeRmNRwErpW7Sp+QQcAnTsD+vrAjRtAHmeOuKhTMzs7O+zbtw/r1q2DqakpAgIC4OzsjO3bt4sdjWXD0dER69evBwD8/vvvCAgIEDcQy1L//v1hb2+PiIgILhp0lLKoO3bsGF69eiVyGvYxbbQ2qdVpGB71uIB/m63XqanXAsHaWtjhAsjzFCwXdRogkUgwZMgQ3Lx5E/Xq1cObN2/Qp08f9O7dm1uf6Khu3bph4MCBqjYn/D7pHiMjI4wfPx6AUHzL5XKRE7GPffPNN6hbty5kMhl2qWkvS6Zemr6uzkDPAOWrNkCdNj9q5PiFXj5XwXJRp0GVKlXC+fPn4eXlBT09PezYsQPOzs685F9H/fnnn6hUqRIiIiIwbNgwbnOig4YNGwYrKyuEhYVh7969YsdhWeApWN3WqlUrSCQShISE4Pnz52LHYR/r3BkwMACCg4H793P9ci7qNExfXx8zZ87EhQsXULFiRURERKBFixaYMGEC0tLSxI7HPmBubo5t27ZBX18fu3fvxubNm8WOxD5ibm6O0aNHAwDmzZvHhbcO6tWrF6RSKS5evIjH+eyOz9TPxsZG1dpEG42IWS5ZWQHu7sLtPEzBclGnJfXq1cONGzcwdOhQAMDixYvh6uqK27dvi5yMfcjV1RWzZ88GAPz88894+PChyInYx0aNGgUzMzMEBwdrvN8Wyz17e3u0eNeaga8l1k3aaG3C8iEfU7Bc1GmRubk51q5di/3798PW1hb379+HQqEQOxb7yKRJk9CkSRMkJSXh8OHDYsdhH7G2tlb1heQpWN2knILl7x/dpCzqzpw5w9em6qJOnYQp2Nu3gVx2z+A+dSKJiorCpUuXVBthM93y7NkzhIaGqvZLZLolMjISN2/eRJs2bSDhFXY6JyEhAadPn0abNm1gaGgodhz2EYVCgQMHDqBZs2YoWrSo2HFYVg4dAlxdATu7XL2MizrGGGOMsUKAp18ZY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgoBLuoYY4wxxgqB/wOggnTd/NvbMgAAAABJRU5ErkJggg==\n" | |
}, | |
"metadata": {} | |
} | |
] | |
} | |
] | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment