{ "cells": [ { "cell_type": "markdown", "id": "92105fc5", "metadata": {}, "source": [ "# Rotor Average Models" ] }, { "cell_type": "markdown", "id": "36486969", "metadata": {}, "source": [ "The rotor average model in PyWake defines one or more points at the turbine rotor to calculate a (weighted) rotor-average deficit. It includes:\n", "\n", "- [RotorCenter](#RotorCenter): One point at the center of the rotor\n", "- [GridRotorAvg](#GridRotorAvg): Custom grid in Cartesian coordinates'\n", "- [EqGridRotorAvg](#EqGridRotorAvg): Equidistant N x N Cartesian grid covering the rotor\n", "- [GQGridRotorAvg](#GQGridRotorAvg): M x N cartesian grid using Gaussian quadrature coordinates and weights\n", "- [PolarGridRotorAvg](#PolarGridRotorAvg): Custom grid in polar coordinates \n", "- [CGIRotorAVG](#CGIRotorAvg): Circular Gauss Integration" ] }, { "cell_type": "markdown", "id": "70082fe9", "metadata": {}, "source": [ "**Install PyWake if needed**" ] }, { "cell_type": "code", "execution_count": 1, "id": "ea4b4bc1", "metadata": {}, "outputs": [], "source": [ "# Install PyWake if needed\n", "try:\n", " import py_wake\n", "except ModuleNotFoundError:\n", " !pip install git+https://gitlab.windenergy.dtu.dk/TOPFARM/PyWake.git" ] }, { "cell_type": "code", "execution_count": 2, "id": "4e20154c", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# import and setup site and windTurbines\n", "import py_wake\n", "from py_wake.examples.data.hornsrev1 import V80, Hornsrev1Site\n", "\n", "site = Hornsrev1Site()\n", "windTurbines = V80()\n", "wt_x, wt_y = site.initial_position.T" ] }, { "cell_type": "markdown", "id": "4aee26a0", "metadata": {}, "source": [ "In the plots below, it is clearly seen that the wind speed varies over the rotor, and that the the rotor-average wind speed is not well-defined by the wind sped at the rotor center." ] }, { "cell_type": "code", "execution_count": 6, "id": "7977df8e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Wind speed [m/s]')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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WhvoZJzXpCVRX8/ABfZCT8whJu/5EszqB6NqzN3x8fSttk6gsqVSq8JWfn19hn6KiIhQXF8Op3B8qnJ2dsX//fqXtJicnIyYmRmFbt27dkJycbLjijYA9dEREREQ2SCaTYVniVPyyrmStt+ZPt8cLI15D6/ZdFPbZueVHbFn7NS6cOoZBnZpg3OQ56DtklFFqWvPz70Zpl6xLZk4hiuy0H3qc/d8fC0JCQhS2z5gxAzNnzlTY5u7ujujoaMyZMwcNGjRAQEAAvv/+eyQnJ6NOnTpK209NTUVAQIDCtoCAAEilUjx+/BjOzs5a12wKDHREREREJqLN9XP69M4VFBRgXJ/2uHMjBX6Bwfjgqx9Rs3Y93Mp+jFvZjxX2bfhsX3T930Ac/msX3o8fgy/eT8DhfTsx98vvVT6mvkMvifRx8+ZNeHh4yG9LJBKl+3333XcYOXIkqlevDnt7e7Ro0QKDBg3C0aNHTVWqSXDIJREREZEVUhfmxvZuhzs3UtDjxZexZvcJ2AWEVAhyZd3KfoygyDb48e/zaBT5FA7/tQvTXhmsc23arJtnzEXWyTZ5eHgofKkKdLVr18bevXuRnZ2Nmzdv4p9//kFhYSFq1aqldP/AwECkpaUpbEtLS4OHh4fF9s4BDHRERERENqOoqAjj+rTH3ZvX0HfIaEyctUhtkCsvvaAYi9b+hsYto/DPvp2Y/trLSvezlFk1iTTh6uqKoKAgPHz4ENu3b0ffvn2V7hcdHY1du3YpbNuxYweio6NNUabOGOiIiIiILExlPVyqAtXUcQNx50YKnhs4HK+994FWYa7UrezHWLB6Cxo2b41DSX9ixaI5WrdBZAm2b9+Obdu2ISUlBTt27EDnzp0RERGBESNGAAASEhIwbNgw+f6vvPIKrl69infeeQfnz5/HF198gR9//BFvvvmmuZ6CRhjoiIiIiGzAbz+sxvHkfWjcMgoTps/XKcyVupObj4VrfoWPXwB++OZznD91vMI+lfXSaTPsksgYsrKyEBcXh4iICAwbNgzt2rXD9u3b4ejoCAC4e/cubty4Id8/PDwcW7duxY4dO9CsWTMsXLgQX3/9tUUvWQAAIkEQBHMXYU2kUik8PT1x7W6GwsWYRERkfFKpFGFBPsjKyuJrcBml703XU/neZMkMOSFK+TCVdvsmhnd/ChInZ/z411mkFxnm453owR2M7tUWzq5uWP/XWYjFYoX7K5scxdvVUePH8tJiXzI9qVSK0ED9Xn9LX6v2nboFN3ft28h+JEWHJjX4HlAOe+iIiIiIrIiynrG3YvtCVlyMOcvWGSzMAYDgG4yxk2cj55EUM5VcT8dr6YjMj4GOiIiIyIJoO1Rx85qvkX7nFrq/MATe9ZsZvJ7W/xuKuo2a4eiBJFw8fUKrYznsksj4GOiIiIiIrET5HrGioiKsWDQHEmdnTJi+wGiPO/3TVRCJRPhg0thKayIi02KgIyIiIjIyY621tmTuFOTnPcboSTOQmme83rACdx907NEPd29ew65fNhjtcYhIewx0RERERBZCmyGKWRkPsO2nNagWEIQWfQYZsaoSk+Z+AkdHMZa8nwCZTGbw9rnAOJFuGOiIiIiIrED5oY2fznobMpkMbyd+rnEbKQ/ylX5pIr1IwMCxbyDnkRSbv/tKbW1l8To6IuNioCMiIiKyMgUFBUje/QcCgkNQrXGrSvevLLhpGuw6DH0NYokE67/6RKt6ich4GOiIiIiILFz5HrBVH7+P4uJiDJ/4bqXHatoDp8m+dnZ2eKb3C8jKuI9DSX9q3C4RGQ8DHREREZEF0HRookwmw9YN38LNwxP1OvVUu682YU7TY8ZNngORnR2WL5ipsJ2zXRKZBwMdERERkREZerKP339cjbzcHPR9eYza/XQJc5ocmyHYo0V0R9xKuYyr589o1J6mYZUToxBpj4GOiIiIyIKV7/n64evP4ODoiA4vv6ryGH3CnCZtTJg+HwCwfMEMvR+HiPTDQEdERERkJe6l3kH6nVtoHtUeDg4OZquj2NsfAdVDcOpIssISBhx2SWR6DHREREQ62rdvH3r37o3g4GCIRCJs3rxZ4X5BEDB9+nQEBQXB2dkZMTExuHTpksI+GRkZGDJkCDw8PODl5YVRo0YhOzvbhM+CLIGmQxK//XQeACD29Skq9zFE75wmbfV8KRZFhYXYsfkHgz0eEWmPgY6IiEhHOTk5aNasGZYsWaL0/vnz5+PTTz/FsmXLcOjQIbi6uqJbt27Iy3vSizFkyBCcOXMGO3bswG+//YZ9+/Zh7NixpnoKZGX+3vU73D294RJWX+n9hgxzlbX5dP9YiOzssOnbLzVqh+vRERmH+frqiYiIrFyPHj3Qo0cPpfcJgoDFixdj6tSp6Nu3LwDg22+/RUBAADZv3oyBAwfi3Llz2LZtGw4fPoxWrUrWEvvss8/Qs2dPfPTRRwgODlbadn5+PvLzn3zIlkqlBn5mZCj6TvJRdgjjqaMHkfNIil4DYvUtyyAcxGLUa9QcF08fR25ONlxc3QCU1Ozn4mTm6oiqDpvqoZs5cyZEIpHCV0REhPz+vLw8xMXFwdfXF25ubujfvz/S0tLMWDERkXll5BRY1dfD3AJznzKNpaSkIDU1FTExMfJtnp6eiIqKQnJyMgAgOTkZXl5e8jAHADExMbCzs8OhQ4dUtp2YmAhPT0/5V0hIiPGeCFmMNUsWAABiRryu9H5NeueuZzxW+lUZVW0PGDMBgiBg/ZcfV9qGpjjTJZF2bK6HrlGjRti5c6f8dtkLht98801s3boVGzZsgKenJ8aPH4/nn38ef//9tzlKJSIblJFjPYGDjCs1NRUAEBAQoLA9ICBAfl9qair8/f0V7ndwcICPj498H2USEhIQHx8vvy2VShnqqoAzx/5BYPWa8PCppvWxlYW26xmPEerjrHW7oU8/A7HECXt+34SR8dO0Pp6I9Gdzgc7BwQGBgYEVtmdlZeGbb77BunXr8MwzzwAAVq5ciQYNGuDgwYN4+umnTV0qEWmIIYlIkUQigUQiMXcZZCCqri0rO9zyxMG/UFiQj3bdeivdV13vnCY9cGX3UxXsUh7kI9y34u9dRNMWOHn4gMKwS1Ue5hTC29VRo3qISDM2F+guXbqE4OBgODk5ITo6GomJiahZsyaOHj2KwsJChaEvERERqFmzJpKTk1UGOl6nQFUVQxSRfkr/uJiWloagoCD59rS0NDRv3ly+T3p6usJxRUVFyMjIUPrHSaq6Nn23HADQ9qWRWh2naZjTx3MDR+Dk4QP4Zd0KDBxTMhyU19ERmY5NXUMXFRWFVatWYdu2bVi6dClSUlLQvn17PHr0CKmpqRCLxfDy8lI4puzQF2V4nQJZK32vVSIi/YSHhyMwMBC7du2Sb5NKpTh06BCio6MBANHR0cjMzMTRo0fl++zevRsymQxRUVEmr5ks16kjyfD0qaZ0uKWhZ7ZUFwKVPVZ42xjY2dsjaetGg9ZBtuv+43zcy83T+uv+Y8PP4moLbKqHruxMY02bNkVUVBRCQ0Px448/wtlZ+3HhAK9TIMvEwEVkGbKzs3H58mX57ZSUFJw4cQI+Pj6oWbMmJk6ciLlz56Ju3boIDw/HtGnTEBwcjH79+gEAGjRogO7du2PMmDFYtmwZCgsLMX78eAwcOFDlDJdU9dxLvYOcR1J07NlPq+P06Z3T5po6Ozs7hITXwY2rF3V+PCLSnU310JXn5eWFevXq4fLlywgMDERBQQEyMzMV9klLS1M7rEUikcDDw0Phi8jY2HtGZB2OHDmCyMhIREZGAgDi4+MRGRmJ6dOnAwDeeecdTJgwAWPHjkXr1q2RnZ2Nbdu2wcnpyVC0tWvXIiIiAl26dEHPnj3Rrl07LF++3CzPhwxLn9kay14/9+u6bwAAvV6quFyBqt45Qwy11KaN6Gd6oLioCMeS9+r9uESkHZsOdNnZ2bhy5QqCgoLQsmVLODo6Kgx9uXDhAm7cuCEf+kJkKgxsRLahU6dOEAShwteqVasAACKRCLNnz0Zqairy8vKwc+dO1KtXT6ENHx8frFu3Do8ePUJWVhZWrFgBNzf1E0uQ7dBkse0Du7fDwcERvg1bmKCiyikLka36DgYA/LHhO/m2sqFUW1y6gEhzNjXk8q233kLv3r0RGhqKO3fuYMaMGbC3t8egQYPg6emJUaNGIT4+Hj4+PvDw8MCECRMQHR3NGS7J4BjKiIjIEGQyGW5fv4KwOhGV7/wfQ06EounQS2+/ALh5eOLk4QOV7suZLokMy6YC3a1btzBo0CA8ePAAfn5+aNeuHQ4ePAg/Pz8AwMcffww7Ozv0798f+fn56NatG7744gszV03WhmGNiIhM5fBfuyErLka7Z5+rcJ+ynjJNwtztBzny76v7uupXYBkNmrXC4b92ISdbClc3XqJCZCo2FejWr1+v9n4nJycsWbIES5YsMVFFZI0Y2IiIyFL88VPJEMYWfQYapL2yYa7sbXXBTlkvnbI16bo+PwiH/9qF33/4Fi+OGm+QeomocjYV6Ig0wcBGRESWrOy1ZxdOHoObhyfcvXwqPU5d71z5IKfqfn167MKiu0AkEiF5z3YGOiITsulJUahqMsaEI7v//B3PRjdDl6gm+GHNSgNXTGRcr8YOQIu6wYgbOdjcpRBRGZpMiJL54B5qhNWusF2btecqC3Oa0GQop52dHTy8fXAr5clSHvpMjEJEmmGgI6tj6hkii4qK8MH0Kfhu4+/4ZVcyvl6yGA8zHhj8cYiMJXZsHBZ8/pW5yyCqUgwxS+P1y+chk8nQsPlTBqhIM9qEP2WhMiS8DqSZGZDJZGqP1STMEpFmGOjIIlnSlP4njx1B3foNEBhUHa5ubujYpSv2J+2q/EAiC/F02w5wdXM3dxlEpKX9f24FANSO7lzpvqp60HTpnVN1jCa9dI1aPA1BEHDxzL9aP255XLqASDMMdESVSEu7i4CgYPntgMBgpN29Y8aKiIioKjh5+G8AItSLVOyh03S4pT5DLXU9tl7bGADAgR2/6fzYRKQdBjoiIiIiC1H2mrPrVy7C3dMTdnbqP64Zct05bZUPlzUjGkMkEuH0sX/MVBFR1cNZLokqERAQpNAjl5Z6B00jW5mxoooysjlzpyH4uIkN0o4hfh6GqoWIrFdWxn3Ua9xcp2MNMRHK7Qc5FWa9rGyhcVUTo/i5OOldDxEpx0BHVImmLVrh4vmzSL17G+7unti760/ExU8x2eMzrJmOJZ1rQ9fy6HEhCotkFvEcGVaJKpdy8azJJ0QxlJDwOjhz7B/IZLJKexeJSH/8V0YWZcKrY+Dj6oDMhxnmLkXOwcEBCbMS8fL/eqD3M09j1Kuvw9vHV+92M7ILNPoi6/Hbz+vwVC0vJP1pWdeOxL3cFwnjh+PvpB14rk1DnDTzUChNf/eVfT3kvwmyEZXN8vj3jpIJUeq0UZwQpfwQR2XDLSvrnUtPz1b4UkeXnr7GLaMhCAIunDqu9bFEpD320JFFeXD/HgBUOt2xqcV0fw4x3Z/TaF+GsKorN6fkg1HeY/Ndz6LMkjVbzF0CEWnp1JFkACLUNWAPnarwVrrd399No3bKD7tMeZCPcF+J/HbdNl2A5YuRvOt3NGjWUmU7D3MK4e3qqNFjEpFqDHREGmJQIyIiTRhkDToNJ0QpT1WPWmU9caX7KAt1yq6lU0c+McrRQxofQ0S6Y6CjKo9BjYiILEHZGS6zMu6jfpNIg7SrSZgzpJKJUXxx89rlyncmIr0x0JHNYlAjIiJrdPX8GY0mRCl//ZwhZrZU1UunrZrhdXD62CH5xCi6znSZmVMILw7LJCsXHx+v9TFTp06Fj4+PRvsy0JFVYlgjIiJbtX9nyYQotaM7KWzXdEHxsnTpnVMW6soPu6zsOrpGLZ/GqaMHcf7fo2gY2VrrGohsyeLFixEdHQ2xWLNZnvfv34/x48cz0JF1y8wpBCQMbYZwJ7vyCTqC3VSvKURERKZ1+kgyIDLshCimVrfdsyUTo+z+g4GOCMCmTZvg7++v0b7u7u5atc1AR2SFNAlp5myvPAZGIqInKluy4GbKZbi5azchirLhlvpcO6fv0Muw/yZGOXfiiM5tEOkrLCwM169fr7D9tddew5IlS5Qes3jxYixduhQ3btxAtWrV8MILLyAxMRFOTtoPGS61cuVKeHp6arz/l19+iYCAAI33Z6AjshDGDlXmZOjnxoBIRLYsW5qFwBo11e6jbP05Y9N2tktnF1fcS7trxIqI1Dt8+DCKi4vlt0+fPo1nn30WL774otL9161bhylTpmDFihVo06YNLl68iOHDh0MkEmHRokU61xEbG6vV/oMHD9ZqfwY6IiOx5YBmboY6t8YKhg/zCgz682eAJapaCvLz4B9UQ682DDGzZWW9dOWvoyvP3csb0swMtY/BtehIF1KpVOG2RCKBRCKpsJ+fn5/C7Xnz5qF27dro2LGj0nYPHDiAtm3bygNVWFgYBg0ahEOHDLcEx82bNyESiVCjRsm/8X/++Qfr1q1Dw4YNMXbsWJ3aZKAj0gJDmm3R9+dpqqBlzN87hkUiy1C6ZEHa7ZsAgOphtRXu12VCFFUepD9SuO3rr931OqqUnxilmn8Q7t29Y5C2ybbcyX4MZx1iyOP/3g9DQkIUts+YMQMzZ85Ue2xBQQHWrFmD+Ph4iEQipfu0adMGa9aswT///IOnnnoKV69exe+//46hQ4dqXasqgwcPxtixYzF06FCkpqbi2WefRaNGjbB27VqkpqZi+vTpWrfJQEdVGgMa6aP8709Wvv6LCZuaMf4NMCQS6e78yWMAAO/QuhofU/76OXW9c+XDXOk2TUOdNsMug2qG4czxf5Cbkw0XVzedly4gKu/mzZvw8PCQ31bWO1fe5s2bkZmZieHDh6vcZ/Dgwbh//z7atWsHQRBQVFSEV155Be+++64hygZQMuzzqadKJjz68ccf0bhxY/z999/4888/8corrzDQEQEMaUTmxuGmRLq7cv40ACCsQROV++h6/ZyyMFf2PmWhTp/JUTxrhAMALp35F82eaqtTG0TKeHh4KAQ6TXzzzTfo0aMHgoODVe6TlJSEDz74AF988QWioqJw+fJlvPHGG5gzZw6mTZumb9kAgMLCQnkA3blzJ/r06QMAiIiIwN27ul1zykBHVoEhTX/Xs0rOYagnPyCT9Sj/bz83J89MlRBpJrOSGSwrczPlEgCgep0IQ5Qjpy7Mld1H2+GX6q6jC40oCaUMdGRu169fx86dO7Fx40a1+02bNg1Dhw7F6NGjAQBNmjRBTk4Oxo4di/fee0+rmWdVadSoEZYtW4ZevXphx44dmDNnDgDgzp078PX11alNBjqySKk5j5ErZohTpTScmfJYBkEiIuNLu30TDo6OOn9wNMRkKIYS3qg5AOD6pfPmLYSqvJUrV8Lf3x+9evVSu19ubm6Ff3v29vYAAEEQDFLLhx9+iP/9739YsGABYmNj0axZMwDAL7/8Ih+KqS0GOiIz0yecmZIudTIEEhFp5+H9dLi4KvaSqZsQRdn6c+Vp0jtXdt/yvXS6Drt0cXOHyM4Od26maH1sWZk5hfDiTJikI5lMhpUrVyI2NhYODorRZ9iwYahevToSExMBAL1798aiRYsQGRkpH3I5bdo09O7dWx7sdJWbmwsXFxd06tQJ9+/fh1Qqhbe3t/z+sWPHwsXFRae2GeiIDMhawpmpaHs+GACJqKrLlmYhoLr6NejMTZuJUZycXXA/LdXIFRGptnPnTty4cQMjR46scN+NGzcUeuSmTp0KkUiEqVOn4vbt2/Dz80Pv3r3x/vvv611HtWrV8Mwzz6BPnz7o27dvhYXDw8LCdG6bgY5IBYYz09PmnFty+Lv/uIBDW4lIqYeVXGNXsgZddYM9nja9c2WP0XUpg/JLF3h4Vr4WHZExde3aVeVwyaSkJIXbDg4OmDFjBmbMmGHwOs6fP48tW7bgxx9/xOuvv45mzZqhT58+6NOnD5o0UT0JkiYY6KhKYDizPbYS/srT53fVmp4nET1RugZd+t3bAIAa5dagK0vdDJfGvH5O12GXvv6BuJfKteiIatasiQkTJmDChAnIysrC77//ji1btmDBggXw8fGRh7uOHTtqPbzTpgJdYmIiNm7ciPPnz8PZ2Rlt2rTBhx9+iPr168v36dSpE/bu3atw3Lhx47Bs2TJTl0s6YjgjbWn6O2PtgYi9gkTW7fzJowAAr9A6BmlPl965ssdq2kunbqbLoJAwnD1xGHm5uXBScX3Qw5xCePMaOapCPD09MWjQIAwaNAiFhYXYs2cPfv31V4wYMQKPHj3CZ599hiFDhmjcnk0Fur179yIuLg6tW7dGUVER3n33XXTt2hVnz56Fq+uTsd5jxozB7Nmz5bd1vQCRjOemNA9udgxumrh0zzDTuNf142KvmgQiWww/nPCGyDJcOfffGnQNm2q0vyYTopjbk7XoTqBJ6zZcXJyoHEdHR3Tt2hVdu3bFZ599huPHj6OoqEirNmwq0G3btk3h9qpVq+Dv74+jR4+iQ4cO8u0uLi4IDAw0dXlEKhkqlBm7BoY+9eEn47F+609ZE054Q2R4N6+WrEEXXKt+JXuan6YTo4RGNAYAXDzzL5q0bmPssoisQl5eHk6ePIn09HTIZDL5dpFIhN69e2vdnk0FuvKysrIAAD4+Pgrb165dizVr1iAwMBC9e/fGtGnTVPbS5efnIz//yXTBUqnUeAWTVbOEUGZsDH2kK1u95pHIkNLu3ICDg2OFqdU1Uf76OXXDLR/ee6hw29vPW+l++kyOUqrWf2vRXeNadEQASjqghg0bhvv371e4TyQSobi4WOs2bTbQyWQyTJw4EW3btkXjxo3l2wcPHozQ0FAEBwfj5MmTmDx5Mi5cuKBy5fjExETMmjXLVGWTmVWFUGZslZ3DqhD4UqWFFc5DVXjehqIu/OXlcCg22a6Me+lwcVOceETdGnS6KB/mSrepCnVl6TIxiouHJ0R2drh7Q7+16IhsxYQJE/Diiy9i+vTpFZYu0JXNBrq4uDicPn0a+/fvV9g+duxY+fdNmjRBUFAQunTpgitXrqB27YqzSiUkJCA+Pl5+WyqVIiQkxHiFk94YyixbVQ182v5e2up5ICLVcrKl8AsINlr7ysKcKUgkTnhwL80sj01kadLS0hAfH2+wMAfYaKAbP348fvvtN+zbtw81atRQu29UVBQA4PLly0oDnUQigUQiqbCdjOvqg3w4FzKYVUVVNfCVp2kArCrnw5oVFxdj5syZWLNmDVJTUxEcHIzhw4fLF7AFAEEQMGPGDHz11VfIzMxE27ZtsXTpUtStW9fM1ZMpFRUWwtXdQ+X96pYs0JemvXSaKL8WndjJCXmPcw3SNpG1e+GFF5CUlKQ0d+jKpgKdIAiYMGECNm3ahKSkJISHh1d6zIkTJwAAQUFBRq6OyLCu3zPMekOhftqvK2RO6oJOVQw3DH6W78MPP8TSpUuxevVqNGrUCEeOHMGIESPg6emJ119/HQAwf/58fPrpp1i9ejXCw8Mxbdo0dOvWDWfPnoWTE392VYWsuBgubppds6Zuhktl18/p2jun6XV06pYukDg543GO8dbII7Imn3/+OV588UX89ddfaNKkCRwdFZfsKH1f0IZNBbq4uDisW7cOW7Zsgbu7O1JTUwGUrPXg7OyMK1euYN26dejZsyd8fX1x8uRJvPnmm+jQoQOaNtVsimAiQzBUGDMEdbXYSthjmOGENuZ04MAB9O3bF7169QIAhIWF4fvvv8c///wDoOSPkYsXL8bUqVPRt29fAMC3336LgIAAbN68GQMHDqzQJifssj0ymQyCIMDd00vrYw21oLi2vXSaznTp5OwK6cMMfUojshnff/89/vzzTzg5OSEpKUk+UgMomRSlyge6pUuXAihZPLyslStXYvjw4RCLxdi5cycWL16MnJwchISEoH///pg6daoZqiVrZElBzBRUPV9bCXoAQ0xZDH3G0aZNGyxfvhwXL15EvXr18O+//2L//v1YtGgRACAlJQWpqamIiYmRH+Pp6YmoqCgkJycrDXScsMsyZebovnRJtrRkZm53T8MMezQWnSZGcXVDUWHVWdaFSJ333nsPs2bNwpQpU2BnZ2eQNm0q0AmCoPb+kJAQ7N2710TVkKWpamHMmGwl6AHG6dW7/ygPTjZ0jsriNY7amzJlCqRSKSIiImBvb4/i4mK8//77GDJkCADIR5OUv0A+ICBAfl95nLDL9qSn3gYA2Ll5GrxtbYZbGvJaulJu7h6QybSfip3IFhUUFGDAgAEGC3OAjQU6sk0MYtaDQa9ylf0+W+O5KouBr6Iff/wRa9euxbp169CoUSOcOHECEydORHBwMGJjY3VqkxN22Y57uSX/Zh6klYR3d+9qerWnbv05c3Hz9IQgCJDJZAb9EEtkjWJjY/HDDz/g3XffNVibDHRkkW4+yIEk37HyHckq2HrQM2RIqcqBz1bD3ttvv40pU6bIh042adIE169fR2JiImJjYxEYGAigZCrrshN0paWloXnz5uYomYzkoZohmQ/vl0zr7+GrX6AzBn0XGLdzKTlW+vABvHz9DFUWkVUqLi7G/PnzsX37djRt2rTCpCilw/G1wUBHZGXuGOji92Atr4EwBmXhxRoDS2lIuZdt/GtEbDnw2WrYy83NrdArYW9vD5lMBgAIDw9HYGAgdu3aJQ9wUqkUhw4dwquvvmrqcslMHt5PBwB4+wcatl0zrT1Xlpu3LwDgftpdnQNdZk4hvFz5h16yfqdOnUJkZCQA4PTp0wr3lZ0gRRsMdERGZKjwZQyqajN30LOVkGcuttQbWlZp2CvIza9kT8vTu3dvvP/++6hZsyYaNWqE48ePY9GiRRg5ciSAkjfwiRMnYu7cuahbt6582YLg4GD069fPvMWTyWRmPAAAePsZNtDpwtDX0Xn8N4z0Xuod1GnYFPdy8+DnYr1/pCHSx549ewzeJgMd0X8sOXyZUvnzYO6AB1hfyMvMyoddmfNoqeewlCWfS1vw2WefYdq0aXjttdeQnp6O4OBgjBs3DtOnT5fv88477yAnJwdjx45FZmYm2rVrh23btnENuirkUWZJT5pntSeT46Q8sL4/YCjj6ecP4EkvpDIPcwrhzR44Ip0w0JFVYvgyHWXn2lIDiqUGE0vtDS1lq716lsLd3R2LFy/G4sWLVe4jEokwe/ZszJ4923SFkUV5lFUS6BwclH80u57xWP592UXFDbUGnTF5/xdSHz64b+ZKiMzj+eefx6pVq+Dh4aHR/kOGDMHHH38Mf39/jfZnoCOLlHYvBw65/PW0VJbYiwdUDCaWHkgY9IioVM4jKezs7c1dhlF4/TeMNCuDgY5KXM8ogCRf+x7o/JwCI1RjfFu2bMG9e/c02lcQBPz666+YM2cOAx0RmY619OJZSxCxxqBnLeeWyFLl5mSr7J3TVPklC4w1IUrZxcVvP8hBdV/XCvukPMhHuG/J0hoe/02EIs3MMEo9RJZOEATUq1fPaO0z0BHZgLRUqcb7BgRq1t2vL0vsxbPWgFfKUoMzwJBHpK/HOdlwcBSbuww5XSZGuZ7xGKE+zhW2lwbVR1mZhiiNyOroMhFK9erVNd6XgY7IiLQJWqZSviZzBDxLDSGGCiBZWbkoTJWa5Nwy5BHZhvy8x5BILHcSHL3XorO3R0625b0nEplCx44djdo+Ax1VOZYYssyp7Pmoyr13gGIAMUTwUPa7xpDHkEekTH5+Hjw8DbdUQKXSrpb8P6CWSR7OwcERj3MsfwIXImvEQEcWKT39EeyddVtckXTH3rsnDB3uSlnCOQYs5zwD1j8UlsgQigoL4ORS8Vo0oygNc6XfmyDUOTo64nFOTuU7EpHWGOiISCVz995ZSugwZuBgL15FDHhUFRUXFcHZxcXcZRiNo0SCgvw8c5dBZJMY6IhIIwx3T5QGDmMFDUvoxbPE8w0AhY85ZItskyAA9nrOcmnJ7OzsUVxcZO4yiGyS7b5yEJHRlAYOUwUNwDLDhrGGZZZn7jANWM45J7JdAkQiO+M/TNnhliYkEokgyASzPDaRrWOgIyKdmSNoAJYb7jKySxZJzc7MQV5qyXpLPoE+Bn0c9t4R2SZBAOwNuLC4VmvQmeA6OpHIDoLAQEdVU2RkJEQizeaGOHbsmNbtaxTopFLtZwX08DDdhzsia5GRav5FVQ0dMEqZO9xZasgo+zM3xrln7x2RrRBgZ2e4QGdp7OzsIAgyc5dBZBb9+vWTf5+Xl4cvvvgCDRs2RHR0NADg4MGDOHPmDF577TWd2tco0Hl5eWmcKoGSbvWLFy+iVi3TTIVLVJYlhCZLZuyAAZh3SKYlhwtbDHeAdZx7ImsgsjPBkEst6LK4uCoikYg9dFRlzZgxQ/796NGj8frrr2POnDkV9rl586ZO7Ws85PKnn36Cj0/lH0AEQUDPnj11KoaoVGb6Q4gkvHja2DKMNCywFIOdarYY7jgsk0h3hh5yaWlEdhxySQQAGzZswJEjRypsf/nll9GqVSusWLFC6zY1CnShoaHo0KEDfH19NWq0Vq1acHR01LoYIjIPBjvzMlW4q+rXORJZNsHieugMSSQSlaRWoirO2dkZf//9N+rWrauw/e+//4aTk5NObWoU6FJSUrRq9PTp0zoVQ0TmxWBnfsb8GXBIJlVFjwu0H+3h6GAHh//CVZFMhsIiGUQiEZwcn/SgKWv3cUGx2naLimVwsC9pt1gmoLBYhvyiYkgcStq1s7dHYZEMpbGnsPjJNWfFsiffy8rMFlna61Xh0pjyAUr033/s7CDIZEDR45LtDs4lQVLppTWKAUzZY8kEQaG2sjUXFD35XiSyg0wQkF9YDDs7xcfKKyz+r30HedsFRTIUl5sVU+Ko/vIfVT8jiaM97P5rt7BYhqJi9dfyOYs5ZyAZz8SJE/Hqq6/i2LFjeOqppwAAhw4dwooVKzBt2jSd2uRvLBFVkJGaYbRQB5QEC1MGCsD6QgXDNZFhRCfu1PqY+S80R9dGgQCA3efS8c5PJ9Ay1BvfDI+S79Pzk714mFuoVbtj2tdBz8bBAIBzd7Mw7ZeTCPJ0xqx+TQAAdiI7fL37Mu49yteqXbGdHST2JR/pRHYiOHqK4efuh3tX0+X7eFf3gdhFDNQN0Ljd3MycJ5lOBGQXlTxfd0exfJ/0jGyk3Kl8Rs307AIUFxZhwrqjaBHqjWk9m8jvG/T13wCAza+1h5dLSdtfJF3E5hO3Na4VgMqf0U+vtkUdf3cAwNd/XcGXe6+obefEjO5aPS6RNqZMmYJatWrhk08+wZo1awAADRo0wMqVK/HSSy/p1KZOge7w4cPYs2cP0tPTIZMp/pVj0aJFOhVCRJbFFgMFUBIqjB0ohKx0yFKvwi5Q/4mhbPHnwGBHpJwAGx6SKAj4r5uQqMp76aWXdA5vymgd6D744ANMnToV9evXR0BAgEK3uzYzYRKRdWBvne5kqSUL+FpLsLPFcE2UnBCj9TGODk+uZXumgT+SE2IqfMb5/Y2OFY7LzFE/vDM778n9DYI88f3otrj/OE++TZDJMPqZOvJYdy3jSU/dzYeP5d/feZAr//7ePcVlRASZgIKH+Xh4P1Nh+8PbGQBEQHoKhIIcFBz/AgAgjnwNIrEr4B+upGIB3tW8S7+Fm0PF+RH8fdwQ7OMivx3i7Sz/PsxHIv9+9vdiZBY44LPBLSsMufx+dFsAgKfzk/Zf61QP4zooXmPk5ar+Y6uqn5GkzDDM0e1rY3gbZc+VyHQyMzPx008/4erVq3jrrbfg4+ODY8eOISAgANWrV9e6Pa0D3SeffIIVK1Zg+PDhWj8YEVknWwx1gOkChaF66wDTXGPH3jqyJfpeD+VgZwcHccXJSpS1m1+ovoctr/DJqCZ7OxHs7ewhKXwSNoqLixXCpKO9XZn9n3xfNhCp/GN6+QlIhP/+I5NBkBVDKCwJi4KsGCKZTKMJS5Q9lp1IpFBb2ZrFZZ4LBBlEECmEq1Kl172VbV/h2P9o+7NUtr+jvZ1CjUSmdvLkScTExMDT0xPXrl3D6NGj4ePjg40bN+LGjRv49ttvtW5T699oOzs7tG3bVusHIiLrZuz1/cpO2GFK5RfJNhZZ6lV5j50hGPPnYY6fhal+DkQWSySCrFj9pCrWTCaTQWTHkVxE8fHxGD58OC5duqQwq2XPnj2xb98+ndrUOtC9+eabWLJkiU4PRkTWjaFOfwx1qjHUUVUmQsmQS0tiqEXFgZIZMnlpDlHJXCTjxo2rsL169epITU3VqU2txyG89dZb6NWrF2rXro2GDRtWWG9u48aNOhVCRNbBVodfmpKhh2Dyujoi21Ass90eOkEmY6AjAiCRSCCVVvyj6cWLF+Hn56dTm1r30L3++uvYs2cP6tWrB19fX3h6eip8WYslS5YgLCwMTk5OiIqKwj///GPukojoP1Whd4g9daqxp46qJJHI4nroDIk9dGQut2/fxssvvwxfX184OzujSZMmOHLkiNpj8vPz8d577yE0NBQSiQRhYWFYsWKFQerp06cPZs+ejcLCkmVARCIRbty4gcmTJ6N///46tal1D93q1avx888/o1evXjo9oCX44YcfEB8fj2XLliEqKgqLFy9Gt27dcOHCBfj7+5u7vCot73HJLF7C40yIJO5mroZUMXYvnbUqzH0EABAKH1eyp3VhTx2R8YkAg15D5+3njYf3Kl8fDgAQYJgRA+rIZDIVi5cTGc/Dhw/Rtm1bdO7cGX/88Qf8/Pxw6dIleHurH0780ksvIS0tDd988w3q1KmDu3fvVliqTVcLFy7ECy+8AH9/fzx+/BgdO3ZEamoqoqOj8f777+vUptaBzsfHB7Vr19bpwSzFokWLMGbMGIwYMQIAsGzZMmzduhUrVqzAlClTzFxd1fXd6hVI2rMLAJC3aybELWLhEN7BzFVRVaJPiLixfwsu/LIcAFCUsh2wd4BDQKTaY6xl6CURmYBIZLAPjGoF1AJunjT+45RT0kPH2SXJtD788EOEhIRg5cqV8m3h4eqXrdi2bRv27t2Lq1evwsen5H01LCzMYDV5enpix44d2L9/P06ePIns7Gy0aNECMTHaL7FSSut/WTNnzsSMGTOQm5tb+c4WqKCgAEePHlU4aXZ2doiJiUFycnKF/fPz8yGVShW+yPBu376FN8e/UmaLgILj30KWa9xJOIgM4fHDNPy7JhEosyhw0eXfIeTz9YKINGNnZ4f8/LzKd7RSRYWFcHDQbwkJolLlP5vn5+cr3e+XX35Bq1at8OKLL8Lf3x+RkZH46quv1LZdesz8+fNRvXp11KtXD2+99RYePzbs6Jt27dph5MiRePvtt/UKc4AOPXSffvoprly5goCAAISFhVWYFOXYsWN6FWRs9+/fR3FxMQICAhS2BwQE4Pz58xX2T0xMxKxZs0xVXpV19fKlin+ZFGQQctIBF/Y6kGXLSb8JCOX/si5AlpcBe4ltT/BCRIbh4ChGXm6OaR7ML0z590ZUWJAPT2++n1OJGw8fQ5xfcU3CyhTkloSqkJAQhe0zZszAzJkzK+x/9epVLF26FPHx8Xj33Xdx+PBhvP766xCLxYiNjVX6GFevXsX+/fvh5OSETZs24f79+3jttdfw4MEDhZ4+XclkMrz//vtYtmwZ0tLScPHiRdSqVQvTpk1DWFgYRo0apXWbWge6fv36af0g1iwhIQHx8fHy21KptMIvEemvVp26sLOzUwx1IjuIXHlNI1k+V/8QQGRXLtSJYOek/sOLoYZbEpH1E4vFeGyqQGcGRYWFcHJxNXcZZCNu3rwJD48nfzCVSCRK95PJZGjVqhU++OADAEBkZCROnz6NZcuWqQx0sv9mZF27dq18wsdFixbhhRdewBdffAFnZ2e9ap87dy5Wr16N+fPnY8yYMfLtjRs3xuLFi00T6GbMmKH1g1iSatWqwd7eHmlpaQrb09LSEBgYWGF/iUSi8peEDKd69Rr4+PNleOO1cQAEQCSCOHIY7Ng7Ryak6/Vzzt4BaPZyAv5d8wEgCABEcKjTEyIT9s4Z8/o5cywjwQlRqKoRS5yRn2edl7Noori4CG7uHLFAhuHh4aEQ6FQJCgpCw4YNFbY1aNAAP//8s9pjqlevrjB7f4MGDSAIAm7duoW6devqXjiAb7/9FsuXL0eXLl3wyitPLjdq1qyZ0tGCmqhyV6eKxWK0bNkSu3btkm+TyWTYtWsXoqOjzVgZDY0diU6dnwEAOD0zkxOiWDBjT75hjevQ1WzXF/V7jwUAOIR3rXRCFEP2znEyFCLr5+zigoKCAnOXoZKvv34zTwuCAFd361neimxD27ZtceHCBYVtFy9eRGhoqNpj7ty5g+zsbIVj7OzsUKNGDb1run37NurUqVNhu0wmky9loC2NAp2Pjw/u37+vcaM1a9bE9evXdSrIFOLj4/HVV19h9erVOHfuHF599VXk5OTIZ70k83H6rxtb5Oxl3kJIJVsND4boEXJ0KfnAI3JUPxzDmoZasneOyDScXd1QpOOHuVL6hq6yvP3UT+uuTKiP8te+3OySJV3cvbz0KYlIa2+++SYOHjyIDz74AJcvX8a6deuwfPlyxMXFyfdJSEjAsGHD5LcHDx4MX19fjBgxAmfPnsW+ffvw9ttvY+TIkXoPtwSAhg0b4q+//qqw/aeffkJkpPo/Bqui0ZDLzMxM/PHHHxovHP7gwQMUG3AtFUMbMGAA7t27h+nTpyM1NRXNmzfHtm3bKkyUQkSmZ+sBwpp65mz9Z0FkSVzc3CErLjJom1qtRacF/zL/Tqv7Kr8uLtz3yeUqD9PvAgA8vasZvBYidVq3bo1NmzYhISEBs2fPRnh4OBYvXowhQ4bI97l79y5u3Lghv+3m5oYdO3ZgwoQJaNWqFXx9ffHSSy9h7ty5Bqlp+vTpiI2Nxe3btyGTybBx40ZcuHAB3377LX777Ted2tT4GjpVFw5aq/Hjx2P8+PHmLoPIqjBA6IdhTj2GOarK3D28IAiCyvtDfZxxPcOw06abysO0kkDn5cNAR6b33HPP4bnnnlN5/6pVqypsi4iIwI4dO4xST9++ffHrr79i9uzZcHV1xfTp09GiRQv8+uuvePbZZ3VqU6NAZ5KFLonIojFA6M7QQyw5AQqR7XH3KhnimCvNgotHyYiocF8JUh5UXF+ruq8rbj8omRHT398N6enZFfaxJFkP7gEAfPxUz1zt7eqo8j4iW9O+fXuDBkau8EhEatlikAOsM8zZWpADGOaISnl4lfz7zki/Kw90tkKaUTIPg69fyaUtfi5O5iyHyCIcOXIE586dA1ByXV3Lli11bqvKzXJJRJqzxTAX7O9mkhBhF1jLYGHOJ9DH5sKcqX4OluL27dt4+eWX4evrC2dnZzRp0gRHjhyR3y8IAqZPn46goCA4OzsjJiYGly5dMmPFZGre1Up6r0qvNzNYuzpMbqLLMepIM/7roQsIMmi7RNbo1q1baN++PZ566im88cYbeOONN9C6dWu0a9cOt27d0qlNBjoiqsAUAcKWh/aJPFUPK9KGLf4cqlqQA4CHDx+ibdu2cHR0xB9//IGzZ89i4cKF8PZ+8qF5/vz5+PTTT7Fs2TIcOnQIrq6u6NatG/Ly8sxYOZmSt68fACDzv+GJlkTvJQtyS2a59PPXPdB5cUgm2YjRo0ejsLAQ586dQ0ZGBjIyMnDu3DnIZDKMHj1apzY55JKIFNhqr5w1sbXeOMD6fgaG9OGHHyIkJAQrV66UbwsPD5d/LwgCFi9ejKlTp6Jv374AShaeDQgIwObNmzFw4ECT10zG4e3qiIc5iksT+Lk44V5uHnz8S4YjSu/rF+h8/d3xIP2RXm0YmjSzZKZNsROHWhLt3bsXBw4cQP369eXb6tevj88++wzt27fXqU320BERAPYGmVvp+TfWz8Cc599afgbG8ssvv6BVq1Z48cUX4e/vj8jISHz11Vfy+1NSUpCamoqYmBj5Nk9PT0RFRSE5OVlpm/n5+ZBKpQpfZN38A6uXfJNj3p+loYdbAkDOoyzY2fEjJxEAhISEKF1AvLi4GMHBwTq1qfW/rmeeeQazZs2qsP3hw4d45plndCqCiMyHQc68TBHieP7N6+rVq1i6dCnq1q2L7du349VXX8Xrr7+O1atXAwBSU1MBoMJaqAEBAfL7yktMTISnp6f8KyQkxLhPgozO+78JQ6RZGUZo23AhzV+Hf9u52dmwd+CgMCIAWLBgASZMmKBwHfWRI0fwxhtv4KOPPtKpTa3/dSUlJeHUqVM4fvw41q5dC1fXkgUlCwoKsHfvXp2KICrPy98b9s7mGRqmSkaq4d9kzcXYwyoBDq1Uh0MqqxaZTIZWrVrhgw8+AABERkbi9OnTWLZsmc5rvCYkJCA+Pl5+WyqVMtRZAC9XR2TmVPzLuybEYjGAJ8MTtWGupQtULSpe3uPcbDg4io1cDZF1GD58OHJzcxEVFQWH//7QUVRUBAcHB4wcORIjR46U75uRodlnT53+XLJz506MGzcOTz/9NH799VeEhYXp0gyRVTFFCNKFNkHTFq+PAyw/TPC8V21BQUFo2LChwrYGDRrg559/BgAEBgYCANLS0hAU9GTSiLS0NDRv3lxpmxKJBBKJxDgFk9nY2dkj55Fxhlx6+3nj4T31YVFZT56mE6KE+jirvC/v8WOI+ftKBABYvHixwdvUKdAFBQVh7969GDFiBFq3bo0NGzagQYMGhq6NiDRgCUGTvXElfNyefGBhiKNSbdu2xYULFxS2Xbx4EaGhoQBKJkgJDAzErl275AFOKpXi0KFDePXVV01dLpmRvYMDcrM1m9Ck7OLi5VnaxCgF+XlwdbesUTdE5qLryAx1tA50IpEIQMlfB9etW4e5c+eie/fumDx5ssGLIyLLxUDxRKhfSU0n/7vt5qXZMCRt8HxbrzfffBNt2rTBBx98gJdeegn//PMPli9fjuXLlwMoeV+dOHEi5s6di7p16yI8PBzTpk1DcHAw+vXrZ97iyaQkTs54lKW6Fy3UxxnXMx7r3L66XjpDXmcX7qvYG5ef9xgB1WsarH0ia3bs2DE4OjqiSZMmAIAtW7Zg5cqVaNiwIWbOnCkffq0NrQOdIAgKt6dOnYoGDRoYJW0SkWVhqHiiNMQZC891RaF+bijINXcV2mvdujU2bdqEhIQEzJ49G+Hh4Vi8eDGGDBki3+edd95BTk4Oxo4di8zMTLRr1w7btm2DE6d5r1K8fHxxL+2OwrZwXwlSHuQb7DG8/bzx4Ka0wjZjkclkKCosRGANBjoiABg3bhymTJmCJk2a4OrVqxgwYACef/55bNiwAbm5uToNydQ60KWkpMDPz09hW//+/REREaEwWwsR2QYGiyeMGeJ4nisydmg2peeeew7PPfecyvtFIhFmz56N2bNnm7AqsjTVAoNx+/pVoz+Ol68n0st8r0r56+d0meHyztWLAICQ8LpaH0tkiy5evCgfXr9hwwZ07NgR69atw99//42BAweaJtCVjvkvr1GjRmjUqJHWBRAp4+/vDgdXzT/gpqVyDSZD4jVxTxgrVDDAVWRLAY5IF8E1w3Hi4F+QZtyHh081rY4tP9OlpVxHl3LmXwBArfoNK9mTqGoQBAEymQxAyUSTpX/sCwkJwf3793Vqk4uCkE0w1YdjWw2ODBdPGCNU8PxWxPBGVFFY3ZIJ5q6ePo7mHZ41czXqabpkwcPrlwAADZq1AgD4uXAYMVVtrVq1wty5cxETE4O9e/di6dKlAEpGQZZfj1RTDHREWrCV4MiAocjQ4cLT0wU+7OVUwABHVLl6jZsDAK5fOK1RoFM30yWgXy+dpssVAOqXLLh97QoAIKA610kkAiC/hnrz5s147733UKdOHQDATz/9hDZt2ujUJgMdkQUyV+AyNEsNGNYeLiz1vJay9vNLZGp+Lk64l5uH2g1KZr3LupVi5ooq0uX6OQBIv3sLYon6XjlvV0ed2iayRk2bNsWpU6cqbF+wYAHs7e11apOBjogMxlKDhjUHDEs9p4B1n1ciSyQWi2Fv74DUWzdU7qNu6YLy19HpSpveucpkZtznGnREGtBnVmMGOiLSmaWGDWsMGpZ6LktZ4zklskTero54mFOo8n5nV1c8SE8z2OOZenKU8mvQ5WY/Qs3a9U32+GQd7mbkwuGxSOvjih5b4do1JsBARxYpwM8VEjfDfYC8Y4C/WFZ1lho4rC1oWOp5LGVt55PI1nh6++J+eqrCNkOvRaeOJr1zmk6IUroGHa+fIzIuBjqqEgz9IboqBERLDR7WEDi8PCUWe/4A6ziHRFWVX2Aw7tzQ/Bq68hOjKBt2qW8vna7Xz929dhkAUDO8js6PDQBevMaOSC0GOiIdGOPDujlDoqWGDwYP/fD8EVmf4NBaOHFoPx5lZsDdy8dg7WoS6nS5dk7dDJdXz5wAANSKaKx1u0SkOQY6IgthipDI4GZcfm6m/yuyrZy78ur6Kb84PE/NtUdElsDL1RGZevyelq5Fd+XUMTRvH6N0H3UTo+jKkBOhlMq8prgGHVFVFR8fr/G+ixYt0rp9BjoiG2aJAc5WAoiywHHXCI9jK+dLGVWhjagqK12LLivlIqAi0FVG1WyXpaEt/Vqm0u2q2ipL0+vngIpr0HFRcaqqjh8/rnD72LFjKCoqQv36JRMGXbx4Efb29mjZsqVO7TPQkUUK8XWFs4d2H2Sv37P969qsia0EEWOHDls5T6owtBFpp3QtuutXL2h8TGULjJfnU80N6WW+N5TyM1xqsgYdUVWwZ88e+feLFi2Cu7s7Vq9eDW9vbwDAw4cPMWLECLRv316n9hnoyGYY6oMxg6F2bCWQGCN42Mq5UYeBjcgwShcXl69Fd1NxLTpTznRZStfJUEplPuAadETlLVy4EH/++ac8zAGAt7c35s6di65du2LSpElat8lAR1SOIT6E22IotJVwYooAUs3dySbOF8MakXmUrEWXWvmOahhqkXF11E2IAgA52Y9Qs3Y9tft4cwZLqmKkUinu3btXYfu9e/fw6JFus9Ey0BEZgbWGQlsIIaUYRtTj+SEyn8oWF68WEIRb166qbaP8xCjaDrusjLLeOW2un8vOykRRYQFq1qprsJqIbMH//vc/jBgxAgsXLsRTTz0FADh06BDefvttPP/88zq1aTOB7tq1a5gzZw52796N1NRUBAcH4+WXX8Z7770HsVgs3yc8PLzCscnJyXj66adNXTKRWsYaQsrQZvt4XoisW73Gkbh26Twe3kuDt1+Azu2YopdOlWsHdwMAWrfvYpbHJ7JUy5Ytw1tvvYXBgwejsLDkDzsODg4YNWoUFixYoFObNhPozp8/D5lMhi+//BJ16tTB6dOnMWbMGOTk5OCjjz5S2Hfnzp1o1KiR/Lavr6+py6VK1PKVwM1L9YfSS/fyTFiNdbP2AMdwUoLngajqaN2hC/7c9D2uHtiFln0H69WWLqFOl2vnyk+IcuxAEgAgukt3rdsismUuLi744osvsGDBAly5UjITbO3ateHqqnkPeHk2E+i6d++O7t2fvGjUqlULFy5cwNKlSysEOl9fXwQGBmrUbn5+PvLzn1yELJVKDVMw6UWfD7cMg5alKgeVqvzciUi1pzt2BQAcP7hPIdBVNjGKoYddlm+7rMqun7t89hQkEie4upVMisIlC4gUubq6omnTpgZpy2YCnTJZWVnw8fGpsL1Pnz7Iy8tDvXr18M4776BPnz4q20hMTMSsWbOMWSaZGMOgaVXF0BLo4Vgln7cxhXqWfHjMtS8ycyVExid2coKziyuunj+tdj9NFxjXppdO35ktS91LvY2A4BC92/HipClkY3JycjBv3jzs2rUL6enpkMlkCvdfvar++lllbDbQXb58GZ999plC75ybmxsWLlyItm3bws7ODj///DP69euHzZs3qwx1CQkJCqu7S6VShITo/wJF1olhUBFDC+mjNKQR2RovV0dkqpn0RJXSpQsAIKB6Tdy6dtlgNWkS6lSFOW0mQwFKJkQpyM9HnYaG6X0gsiWjR4/G3r17MXToUAQFBUEkEundpsUHuilTpuDDDz9Uu8+5c+cQEREhv3379m10794dL774IsaMGSPfXq1aNYVw1rp1a9y5cwcLFixQGegkEgkkEonS+4i0YW1hkGFNM2VDiY9z1f5LMgMakeHUa9wc1y6d03piFHXDLtWFOm165iobbnk8aTsAoFW7ZzRuk6iq+OOPP7B161a0bdvWYG1afKCbNGkShg8frnafWrVqyb+/c+cOOnfujDZt2mD58uWVth8VFYUdO3boWyYZWIiHEx6auwgLYsgwyKCmuaoeUKr68ycyp6iOz+LPTd/j6O7fETNghHx7+evoNB12Wcrf3w0FzgXy29X8XCF212+YZfkJUa4e3Q+g8glRuAYdVUXe3t5KLwnTh8UHOj8/P/j5+Wm07+3bt9G5c2e0bNkSK1euhJ2dXaXHnDhxAkFBQfqWSUagy4fJ61mav6lVFQxwFVW1oFLVni+RNahsLbqnOsQAAK4dPwiUCXSaMOTkKNoOtwT+mxDFyVk+IQoRPTFnzhxMnz4dq1evhouLi0HatPhAp6nbt2+jU6dOCA0NxUcffaSwAnvpjJarV6+GWCxGZGQkAGDjxo1YsWIFvv76a7PUTIbHEFi12XJwseXnRkQVySdGuXDGbDUoC3OVDbcEgPtpdxQmROEMl0RPLFy4EFeuXEFAQADCwsLg6KjYU33s2DGt27SZQLdjxw5cvnwZly9fRo0aNRTuEwRB/v2cOXNw/fp1ODg4ICIiAj/88ANeeOEFU5dLFoQh0LLZSpCxledBRMZVdmKUwBqhuJlyqdJjlA27NOYSBmWVH25ZOiFK3UbNjf7YRNaoX79+Bm/TZgLd8OHDK73WLjY2FrGxsaYpiGwaQ6B+bD3cVHMW2/xzJCLjq9ckEikXz1aYGKWy9ehK6RPqdBlqCQApybsAAK3addbpeCJbN2PGDIO3aTOBjsjS2WoIZHAhIjKOp9p3wfaf1+LK3zvRqt8Qc5ej0XDLYweSAABPP9NN78fjGnREmmGgI7JgpgyBDGZERJaldGKU48l7Kw10qma71KWXTtfeOUDzCVE4wyWZwsyZMzFr1iyFbfXr18f58+crPXb9+vUYNGgQ+vbti82bN+tVh4+PDy5evIhq1arB29tb7dpzGRkZWrfPQEcWKdDVGV5ulQeMO9mW34NlagxmRETmp8ni4pXNdFk6MUrKhbMV7tN02CWgXajTJsyVv34OAO6l3kFgjZoat0FkbI0aNcLOnTvltx0cKo8/165dw1tvvYX27dsbpIaPP/4Y7u7u8u8NsZh4WQx0ZNWCNQh9pRj+iCyHNv92y8oW1H9AJrIFZSdGCQ6thZQLZyGTySpdjkndmnSahDp1YU6T4ZZpN6+jsCAfDZq2lG/jDJdkbg4ODvIZ7zVRXFyMIUOGYNasWfjrr7+QmZmpdw1l5/CobM4PXTDQUZWh7QdIBkCiJ3QNYESkn7YxvXDl3CncPvIXQp7qqFdbqkKdPkMsyzq06TsAQK9B2q2bR6QtqVSqcFsikUAiqdhjDACXLl1CcHAwnJycEB0djcTERNSsqboXefbs2fD398eoUaPw119/GbRuABg2bBg6d+6MDh06oHbt2gZpk4GOSAX2/lVtugQYT4n5rwlh8CKyLb0HjcC3n83Dtp/XYky5QKds2KW6XjqgJLw9dsiT3w70rnxhY2W9c8qGWx7etxOOYgkimkRW2iZVbffuZ8NeIlS+YznF+SV/kAgJCVHYPmPGDMycObPC/lFRUVi1ahXq16+Pu3fvYtasWWjfvj1Onz4tHwJZ1v79+/HNN9/gxIkTWtemKbFYjMTERIwaNQrVq1dHx44d0alTJ3Ts2BF169bVqU0GOiIDYO+fZbHUUGOpdRGR5fLw8oaHlw/OHPvH3KWoJZPJcPfmddRt1NTcpVAVcPPmTXh4PJl4R1XvXI8ePeTfN23aFFFRUQgNDcWPP/6IUaNGKez76NEjDB06FF999RWqVatmnMIBfP311wCA27dvY9++fdi7dy8WLlyIcePGISgoCLdu3dK6TQY6IjNg719FthR2vJ3ENvV8iMi8GrWMQvKuPyDNuA8Pn8o/aFbWS6cNTa6dA4CUv3dCEGTo0K2PfJuq6+c4wyXpy8PDQyHQacrLywv16tXD5cuXK9x35coVXLt2Db1795Zvk8lkAEquw7tw4YLBhkgCgLe3N3x9feHt7Q0vLy84ODjAz89Pp7YY6IgsnKWFPwYVIiLDUTXTZdmJUXq8MBTJu/7AsV/Xo1PseIX9VM12aYhQpyrMKRtu+eem7wEAPQcM0+sxS3ENOjKG7OxsXLlyBUOHDq1wX0REBE6dOqWwberUqXj06BE++eSTCsM8dfXuu+8iKSkJx48fR4MGDdCxY0dMmTIFHTp0gLe3t05tMtCRRfJydYSPmxgAkJFdYOZqrAfDFhGR5dBk6QJNtG7/DOzs7bF/x9YKgc5SnPv3CLx8q1W6/hyRKb311lvo3bs3QkNDcefOHcyYMQP29vYYNGgQgJIJSqpXr47ExEQ4OTmhcePGCsd7eXkBQIXt+pg3bx78/PwwY8YMPP/886hXr57ebaqf/5bIAvi4iTX6IiKydPPmzYNIJMLEiRPl2/Ly8hAXFwdfX1+4ubmhf//+SEtLM1+RZHHs7OxQs1ZdXL9yQT4ErCxlPWaA5sMltTlW2WPZP0xHziMpmkW10/nxiIzh1q1bGDRoEOrXr4+XXnoJvr6+OHjwoHxo440bN3D37l2T1nT8+HG89957+Oeff9C2bVtUr14dgwcPxvLly3Hx4kWd2mQPHdkMTUMde/yIyBwOHz6ML7/8Ek2bKk4a8eabb2Lr1q3YsGEDPD09MX78eDz//PP4+++/zVQpWaLOvZ7HysUfIOXvnajdvqvGx+ky9FLbILhhxecAgJdGPuk95PpzZAnWr1+v9v6kpCS1969atcpwxfynWbNmaNasGV5//XUAwL///ouPP/4YcXFxkMlkKC4u1rpN9tBRlcMePyIytezsbAwZMgRfffWVwjUSWVlZ+Oabb7Bo0SI888wzaNmyJVauXIkDBw7g4MGDZqyYLEHZUNRnyGgAwNYfVmndjjYBTd2+qnoCDyX9CSdnF9RpWPkMl5wQhao6QRBw7NgxLFq0CH369EHnzp2xZs0aNGnSRB7ytMUeOiIV2ONHRIYSFxeHXr16ISYmBnPnzpVvP3r0KAoLCxETEyPfFhERgZo1ayI5ORlPP/200vby8/ORn/9kIozyi+ySdVE1MUpZLq5uCKgegrPHD0Mmk8HOTvFv8qomRymlSU+dLkM0nXOzcD/tLlq27az1sURVkY+PD7Kzs9GsWTN07NgRY8aMQfv27eXX6+mCgY5IT5oEP4Y+oqpr/fr1OHbsGA4fPlzhvtTUVIjF4gpv5AEBAUhNTVXZZmJiImbNmmXoUsnC9XjhZaz6JBGXkn5H/Wee0/r40sB2PuvJthreznDzqjzIqeqdW/3ZhwCAoePf0boeVTjDJdmyNWvWoH379jotu6AKh1ySRXlj0jt4ccBguLq5m7sUg+Iwz6qhTcdn0b3vS4hsHW3uUshC3Lx5E2+88QbWrl0LJyfDXVOUkJCArKws+dfNmzcN1jYZliHDSf/YVyGys8NPK79Qer+q0FVeDW/DzYj8947f4ObhiQbNWsq38fo5ItV69epl0DAHsIeOLEzU020Q9XQbZORUzR4tDvO0bjVCwzH74+XmLkNr1vTHBEfBemoFSoZUpqeno0WLFvJtxcXF2LdvHz7//HNs374dBQUFyMzMVOilS0tLQ2BgoMp2JRIJJBLNPryTdSu7Hp3YyQl1GzbFpTP/Ij8vFxInlwr7Vzb0UheqgmLWxVPIlmah+wtDDPp4RKQdBjoiK2TLwc+awgVRZbp06VJhodoRI0YgIiICkydPRkhICBwdHbFr1y70798fAHDhwgXcuHED0dHs6a1KNLmODgAGjH4dcyaOxP51y9Fl5ETjF6bGmiULAADDxk/WaH9OiEJkHAx0RDaM4YjIvNzd3SssSOvq6gpfX1/59lGjRiE+Ph4+Pj7w8PDAhAkTEB0drXJCFKra2nV9DmKJE7Zv/F5loDNkL52q3jmZTIaTRw4gsHpN+Po/6U3mcEsi0+M1dERERGb08ccf47nnnkP//v3RoUMHBAYGYuPGjeYuiyxI+ZD0VIcYPEhPxaMrZ1Ueo+n1dOqoa+PAD9+gqLAQfYaM0vtxiEg/DHRkkXxcxfIvIiJbkpSUhMWLF8tvOzk5YcmSJcjIyEBOTg42btyo9vo5oripiQCAL95PULufPqGusmN/XvkFxBIn/G/YOJ0fQxnOcEmkPQ65JItXWairqhOoEBGRdfBydUSmBtfHacrHLwARTVvg/MljkGQ/RL6bd+UHaaGyMHftwC5IMzPw3MDhFdbDU4XXzxEZD3voyOqV7c1T9kVERGQN1IWe8sMu46bOAwB8Pkf9hCThvhKteuo02febRXNgZ2eHMW/NVFsjEZkGe+jI5mkS6tjLR0RE1qRe4+YICgnFP/t2IsFOwH2ZSO3+mkyUokmYy7t1BXdupOCpjs/CyaXisglEZHrsoSMCe/mIiMj6jHl7JmTFxVg49XWN9lfWWxfqLdaqF2/eW68AEGHC9PkK29k7R2Q+DHREGmDgIyIiU9Bm2GXbmF6oHloLf23/FY5Z9zV+jFBv3d63rh/cjZtXLyK6S3f4B1XX+DhNr5/jhChEumGgIzIABj4iIlLHWGHl3Y+/hiAImPum8ZcPWDx9EuwdHPHOvCVGfywi0pxNBbqwsDCIRCKFr3nz5insc/LkSbRv3x5OTk4ICQnB/PnzVbRGZDgMfEREZAjle+nqRDRG86fb4+LpE7h/+ojRHnfvt19AmpmBF0a8BhdXN7U1EZFp2dykKLNnz8aYMWPkt93d3eXfS6VSdO3aFTExMVi2bBlOnTqFkSNHwsvLC2PHjjVHuUQAOHELERHp7t2PlmNgh0aYM3EUfth/Fql5hlsiAQAk2Q+xdulCuLp7YPgb6te+K4/LFRAZn0310AElAS4wMFD+5erqKr9v7dq1KCgowIoVK9CoUSMMHDgQr7/+OhYtWmTGiok0w14+IqKqQdsQ5Onji5FvTkW2NBMz44YatJYabs54a2gfFBcXYfonKyusO8feOSLzs7lAN2/ePPj6+iIyMhILFixAUVGR/L7k5GR06NABYvGTD7/dunXDhQsX8PDhQ6Xt5efnQyqVKnwRWSIGPiKiqkFZiHpx1Hg0aNYSh//ahTN/bjbYY30y8y2k3r6B3oNGoPnT7Q3WbnmcEIVIdzY15PL1119HixYt4OPjgwMHDiAhIQF3796V98ClpqYiPDxc4ZiAgAD5fd7e3hXaTExMxKxZs4xfPJGRmTPUcbgoEVFJaMnMMexwyLLmffMzBrRviE9mTMKyZi1hFxCiV3vXD+7G7z9+i6CQMIyf9qHWx3O4JamScS8bdmKZ1sfJCnKNUI31s/hAN2XKFHz4ofoXkXPnziEiIgLx8fHybU2bNoVYLMa4ceOQmJgIiUSz9VXKS0hIUGhXKpUiJES/F0iiqsaSewgZNonIEnm7OuKhmvDn5+KEe7l5CtucXFwwd9k6vD38f3itfxcs3bQHIj/Nlxco6+Y/ezHnjZEQS5yw8LtfVNZAROZn8YFu0qRJGD58uNp9atWqpXR7VFQUioqKcO3aNdSvXx+BgYFIS0tT2Kf0dmBgoNI2JBKJzmGQiCyfJYfNshg8iUgTTVq3wawl32FG3FC89nxnLNucBME3WOPja7g549DenZg1IRYOjmJ8sXE3fP2Vf0YiIstg8YHOz88Pfn5+Oh174sQJ2NnZwd/fHwAQHR2N9957D4WFhXB0LBkGsGPHDtSvX1/pcEsiIkthLcFTWwyqRLpT1ksHAFGdumL6p6sw+/XhGNO7PV579308N3AEbmU/VttesIsESxOnYsuar0rC3M+7EBJeR+Vjq6PNcEteP0ekH5uZFCU5ORmLFy/Gv//+i6tXr2Lt2rV488038fLLL8vD2uDBgyEWizFq1CicOXMGP/zwAz755BOFIZVERGQ6lU3mU/7L28U2gy1VHdqEF32uQWvTpQc+WP4DxGIJPps9GXEvdIH9w3TUcHNGsOuTMBbs6oQabs54dOUsXn6mOTZ/txy+/oFYumkPataup/PjE5HpWHwPnaYkEgnWr1+PmTNnIj8/H+Hh4XjzzTcVwpqnpyf+/PNPxMXFoWXLlqhWrRqmT5/ONeiIiIjIKqnqpQOAFm074ccDFzB34kgcSvoTw7u1hqe3L5q2biPfZ0HCeJw5fhiPc7IhEonw/LBXMG7K7Eofk4gsh80EuhYtWuDgwYOV7te0aVP89ddfJqiIiIiIyLzEYjFmf7EGl8+exPdfLsbx5L34689f5fcf2b8HXr7V0KlnPwx+ZRL8g9RPoqJJmOPslkSmZTOBjoiIiMjWVDbbJaC+l65UnYZNMe2TFQCA65fOY2zfDgCAb35PRo2w2oYplojMwmauoSMiIiKyBsaYBESbYZCePr7y793cPYzyGJrihChE+mOgIyIiIrJgljCEUdMwZwm1ElU1DHRERERENoCTlRBVTQx0RERERDbCGKHOWL1zHG5JZBgMdEREREQmpm2Y0SYsGTLUsdePyPIx0BERERHZGEMEMYY5IuvAQEdERERkBbQd0qhPINP2WE6GQmQ+XIeOiIiIyEaVBrPK1qkrv7+x8fo5IsNhDx0RERGRGegSanTtCfNzcVIb1iq73xg1EZFhsIeOiIiIqIrwc3GCfe6T4Obr7AQfXitHZNXYQ0dERERkRSypR0yXWjjcksiwGOiIiIiIzIThhoj0xUBHREREZGUsoZfOEmogIgY6IiIiIqtkzkCl62OzR5LI8BjoiIiIiMyIIYfI+ObNmweRSISJEyeq3Oerr75C+/bt4e3tDW9vb8TExOCff/4xXZE6YqAjIiIislLm6KXjUEuyNocPH8aXX36Jpk2bqt0vKSkJgwYNwp49e5CcnIyQkBB07doVt2/fNlGlumGgIyIiIrJipgxY+jwWeyLJUKRSqcJXfn6+yn2zs7MxZMgQfPXVV/D29lbb7tq1a/Haa6+hefPmiIiIwNdffw2ZTIZdu3YZ+ikYFNehIyIiIjIzL1dHZOYUmrsMIpPIvJ8JkaPqEKaKUPgYABASEqKwfcaMGZg5c6bSY+Li4tCrVy/ExMRg7ty5Wj1ebm4uCgsL4ePjo3WtpsQeOiIiIiNKTExE69at4e7uDn9/f/Tr1w8XLlxQ2CcvLw9xcXHw9fWFm5sb+vfvj7S0NDNVTNbIFL10HGpJluLmzZvIysqSfyUkJCjdb/369Th27BgSExN1epzJkycjODgYMTEx+pRrdAx0RERERrR3717ExcXh4MGD2LFjBwoLC9G1a1fk5OTI93nzzTfx66+/YsOGDdi7dy/u3LmD559/3oxVkzUyZuDSt20OtyRD8vDwUPiSSCQV9rl58ybeeOMNrF27Fk5OTlo/xrx587B+/Xps2rRJp+NNiUMuiYiIjGjbtm0Kt1etWgV/f38cPXoUHTp0QFZWFr755husW7cOzzzzDABg5cqVaNCgAQ4ePIinn37aHGWTGRhi2KW3qyMeGnjoJnvmyBodPXoU6enpaNGihXxbcXEx9u3bh88//xz5+fmwt7dXeuxHH32EefPmYefOnZVOpGIJGOiIiIhMKCsrCwDk12QcPXoUhYWFCkN6IiIiULNmTSQnJysNdPn5+QqTAEilUiNXTdbEkKGOYY6sVZcuXXDq1CmFbSNGjEBERAQmT56sMszNnz8f77//PrZv345WrVqZolS9MdARERGZiEwmw8SJE9G2bVs0btwYAJCamgqxWAwvLy+FfQMCApCamqq0ncTERMyaNcvY5ZIZGGpyFEOEOkOFOQ63JHNwd3eXv86WcnV1ha+vr3z7sGHDUL16dfk1dh9++CGmT5+OdevWISwsTP4a7ObmBjc3N9M+AS3wGjoiIiITiYuLw+nTp7F+/Xq92klISFCYEODmzZsGqpBsibero06hTNfjiKzNjRs3cPfuXfntpUuXoqCgAC+88AKCgoLkXx999JEZq6wce+iIiIhMYPz48fjtt9+wb98+1KhRQ749MDAQBQUFyMzMVOilS0tLQ2BgoNK2JBKJ0kkAiJQpDWeV9dgZI8Sxd44sSVJSktrb165dM1kthsQeOiIiIiMSBAHjx4/Hpk2bsHv3boSHhyvc37JlSzg6OiosXHvhwgXcuHED0dHRpi6XLICxQlBpz5uny5O/53u6OLBHjsjK2UygS0pKgkgkUvp1+PBhACWpW9n9Bw8eNHP1RERkq+Li4rBmzRqsW7cO7u7uSE1NRWpqKh4/Llkg19PTE6NGjUJ8fDz27NmDo0ePYsSIEYiOjuYMl0REVCmbGXLZpk0bhTGwADBt2jTs2rWrwgw1O3fuRKNGjeS3fX19TVIjERFVPUuXLgUAdOrUSWH7ypUrMXz4cADAxx9/DDs7O/Tv3x/5+fno1q0bvvjiCxNXSpbEUJOjmBOHWxKZhs0EOrFYrHCtQWFhIbZs2YIJEyZAJBIp7Ovr66vyugQiIiJDEgSh0n2cnJywZMkSLFmyxAQVERGRLbGZIZfl/fLLL3jw4AFGjBhR4b4+ffrA398f7dq1wy+//KK2nfz8fEilUoUvIiIiImOz5h4ua66dyNrYbKD75ptv0K1bN4WZxNzc3LBw4UJs2LABW7duRbt27dCvXz+1oS4xMRGenp7yr5CQEFOUT0REREREVCmLD3RTpkxROdlJ6df58+cVjrl16xa2b9+OUaNGKWyvVq0a4uPjERUVhdatW2PevHl4+eWXsWDBApWPz7V+iIiIyFyssafLGmsmsmYWfw3dpEmT5BeNq1KrVi2F2ytXroSvry/69OlTaftRUVHYsWOHyvu51g8REREREVkqiw90fn5+8PPz03h/QRCwcuVKDBs2DI6Olf+F6MSJEwgKCtKnRCIiIiKjsaYZL9k7R2R6Fh/otLV7926kpKRg9OjRFe5bvXo1xGIxIiMjAQAbN27EihUr8PXXX5u6TCIiIiIiIr3ZXKD75ptv0KZNG0RERCi9f86cObh+/TocHBwQERGBH374AS+88IKJqyQiIiLSnDX00rF3jsg8bC7QrVu3TuV9sbGxiI2NNWE1RERERLaPYY7IfCx+lksiIiIiYmgiIuUY6IiIiIishCWGOkusiagqYaAjIiIiIiKyUgx0RERERFbEknrELKkWoqqKgY6IiIjIylhCkLKEGoiIgY6IiIiItMQwR2Q5bG7ZAiIiIqKqwBrWpiNSKv0a4CDR/riifIOXYgvYQ0dERERkpczRU8beOSLLwkBHREREZMVMGbAY5ogsDwMdERERkZUzRdBimCOyTAx0RERERDbAmIGLYY7IcjHQEREREdkIQwcvL1dHhjkiC8dAR0RERGRDDBXCGOSIrAOXLSAiIiKyQaWBTNulDRjkiKwLAx0RERGRDdM02DHIEVknBjoiIiKiKqA0sBXmPAluni68Ro7I2vEaOiIiIiIiIivFQEdERERERGSlGOiIiIiIiIisFAMdERERERGRlWKgIyIiIiIislIMdERERERERFaKgY6IiIiIiMhKMdARERERERFZKQY6IiIiIiIiK8VAR0REREREZKUY6IiIiIiIiKwUAx0REREREZGVsppA9/7776NNmzZwcXGBl5eX0n1u3LiBXr16wcXFBf7+/nj77bdRVFSksE9SUhJatGgBiUSCOnXqYNWqVcYvnoiIqBJLlixBWFgYnJycEBUVhX/++cfcJRERWbWlS5eiadOm8PDwgIeHB6Kjo/HHH3+oPWbDhg2IiIiAk5MTmjRpgt9//91E1erOagJdQUEBXnzxRbz66qtK7y8uLkavXr1QUFCAAwcOYPXq1Vi1ahWmT58u3yclJQW9evVC586dceLECUycOBGjR4/G9u3bTfU0iIiIKvjhhx8QHx+PGTNm4NixY2jWrBm6deuG9PR0c5dGRGS1atSogXnz5uHo0aM4cuQInnnmGfTt2xdnzpxRuv+BAwcwaNAgjBo1CsePH0e/fv3Qr18/nD592sSVa0ckCIJg7iK0sWrVKkycOBGZmZkK2//44w8899xzuHPnDgICAgAAy5Ytw+TJk3Hv3j2IxWJMnjwZW7duVfihDBw4EJmZmdi2bZtGjy+VSuHp6YlrdzPg4eFhsOdFRESVk0qlCAvyQVZWlk29BkdFRaF169b4/PPPAQAymQwhISGYMGECpkyZUunxpe9N567ehLu77ZwXMo779+6hecM6AIATZy+jmp+fmSsia/DokRQNaoXo9fpb+loleWoSRA4SrY8XivKR/89CvWrw8fHBggULMGrUqAr3DRgwADk5Ofjtt9/k255++mk0b94cy5Yt0+nxTMHB3AUYSnJyMpo0aSIPcwDQrVs3vPrqqzhz5gwiIyORnJyMmJgYheO6deuGiRMnqmw3Pz8f+fn58ttZWVkASn6piYjItEpfe63sb5FqFRQU4OjRo0hISJBvs7OzQ0xMDJKTk5Ueo+q9qUGtEOMWSzanNNgRacogr7/F+dCpleKS1z2pVPFzuEQigUSiPiAWFxdjw4YNyMnJQXR0tNJ9kpOTER8fr7CtW7du2Lx5sy7VmozNBLrU1FSFMAdAfjs1NVXtPlKpFI8fP4azs3OFdhMTEzFr1qwK25vUCzNQ5UREpK0HDx7A09PT3GUYxP3791FcXKz0/en8+fNKj1H13kREZGz6vP6KxWIEBgYi9ejnOj++m5sbQkIU/3g1Y8YMzJw5U+n+p06dQnR0NPLy8uDm5oZNmzahYcOGSvdVlRVKs4SlMmugmzJlCj788EO1+5w7dw4REREmqqiihIQEhaSemZmJ0NBQ3Lhxwyo+TEilUoSEhODmzZtWMTyJ9RoX6zUua6sXsL6as7KyULNmTfj4+Ji7FLOy9vcmU7G2329T4rlRjudFNUO8/jo5OSElJQUFBQU6tyEIAkQikcI2db1z9evXx4kTJ5CVlYWffvoJsbGx2Lt3r8pQZ43MGugmTZqE4cOHq92nVq1aGrUVGBhYYUawtLQ0+X2l/y/dVnYfDw8Ppb1zgOouXE9PT6v6h146u4+1YL3GxXqNy9rqBayvZjs7q5nTq1LVqlWDvb290ven0vev8mzlvclUrO3325R4bpTjeVFN39dfJycnODk5GaiayonFYtSpUzK0uGXLljh8+DA++eQTfPnllxX2VZUVVL0WWwqzviP6+fkhIiJC7ZdYLNaorejoaJw6dUphRrAdO3bAw8NDnsCjo6Oxa9cuheN27NihchwtERGRsYnFYrRs2VLh/Ukmk2HXrl18fyIiMjCZTKZwDXJZ1poVrOYauhs3biAjIwM3btxAcXExTpw4AQCoU6cO3Nzc0LVrVzRs2BBDhw7F/PnzkZqaiqlTpyIuLk7+V8xXXnkFn3/+Od555x2MHDkSu3fvxo8//oitW7ea8ZkREVFVFx8fj9jYWLRq1QpPPfUUFi9ejJycHIwYMcLcpRERWa2EhAT06NEDNWvWxKNHj7Bu3TokJSXJlywbNmwYqlevjsTERADAG2+8gY4dO2LhwoXo1asX1q9fjyNHjmD58uXmfBqVsppAN336dKxevVp+OzIyEgCwZ88edOrUCfb29vjtt9/w6quvIjo6Gq6uroiNjcXs2bPlx4SHh2Pr1q1488038cknn6BGjRr4+uuv0a1bN43rkEgkmDFjRqUz6VgK1mtcrNe4WK/xWVvN1lavpgYMGIB79+5h+vTpSE1NRfPmzbFt27YKF+erYqvnRV88L6rx3CjH86KaNZ6b9PR0DBs2DHfv3oWnpyeaNm2K7du349lnnwVQ0mFUdghpmzZtsG7dOkydOhXvvvsu6tati82bN6Nx48bmegoasbp16IiIiIiIiKiE7VxVTkREREREVMUw0BEREREREVkpBjoiIiIiIiIrxUBHRERERERkpRjo1Hj//ffRpk0buLi4wMvLS+k+N27cQK9eveDi4gJ/f3+8/fbbKCoqUtgnKSkJLVq0gEQiQZ06dbBq1SrjFw8gLCwMIpFI4WvevHkK+5w8eRLt27eHk5MTQkJCMH/+fJPUpsqSJUsQFhYGJycnREVFVVgs3lxmzpxZ4VxGRETI78/Ly0NcXBx8fX3h5uaG/v37V1iY0pj27duH3r17Izg4GCKRCJs3b1a4XxAETJ8+HUFBQXB2dkZMTAwuXbqksE9GRgaGDBkCDw8PeHl5YdSoUcjOzjZLvcOHD69wvrt3726WehMTE9G6dWu4u7vD398f/fr1w4ULFxT20eTnr8lrhanq7dSpU4Xz+8orr5il3qVLl6Jp06byRXyjo6Pxxx9/yO+3pHNrCa5du4ZRo0YhPDwczs7OqF27NmbMmIGCggKF/TR5bd+wYQMiIiLg5OSEJk2a4PfffzfV0zAKa3/PNiVLfa81Jmt7nzQVa3uPIxUEUmn69OnCokWLhPj4eMHT07PC/UVFRULjxo2FmJgY4fjx48Lvv/8uVKtWTUhISJDvc/XqVcHFxUWIj48Xzp49K3z22WeCvb29sG3bNqPXHxoaKsyePVu4e/eu/Cs7O1t+f1ZWlhAQECAMGTJEOH36tPD9998Lzs7Owpdffmn02pRZv369IBaLhRUrVghnzpwRxowZI3h5eQlpaWlmqaesGTNmCI0aNVI4l/fu3ZPf/8orrwghISHCrl27hCNHjghPP/200KZNG5PV9/vvvwvvvfeesHHjRgGAsGnTJoX7582bJ3h6egqbN28W/v33X6FPnz5CeHi48PjxY/k+3bt3F5o1ayYcPHhQ+Ouvv4Q6deoIgwYNMku9sbGxQvfu3RXOd0ZGhsI+pqq3W7duwsqVK4XTp08LJ06cEHr27CnUrFlT4d9SZT9/TV4rTFlvx44dhTFjxiic36ysLLPU+8svvwhbt24VLl68KFy4cEF49913BUdHR+H06dOCIFjWubUEf/zxhzB8+HBh+/btwpUrV4QtW7YI/v7+wqRJk+T7aPLa/vfffwv29vbC/PnzhbNnzwpTp04VHB0dhVOnTpnjaRmEtb9nm4olv9cak7W9T5qKtb3HkXIMdBpYuXKl0jeH33//XbCzsxNSU1Pl25YuXSp4eHgI+fn5giAIwjvvvCM0atRI4bgBAwYI3bp1M2rNglAS6D7++GOV93/xxReCt7e3vFZBEITJkycL9evXN3ptyjz11FNCXFyc/HZxcbEQHBwsJCYmmqWesmbMmCE0a9ZM6X2ZmZmCo6OjsGHDBvm2c+fOCQCE5ORkE1X4RPk3KplMJgQGBgoLFiyQb8vMzBQkEonw/fffC4IgCGfPnhUACIcPH5bv88cffwgikUi4ffu2SesVhJJA17dvX5XHmLPe9PR0AYCwd+9eQRA0+/lr8lphqnoFoSTQvfHGGyqPMWe9giAI3t7ewtdff23x59ZSzJ8/XwgPD5ff1uS1/aWXXhJ69eql0E5UVJQwbtw44xdsZNb6nm0qlvxeayrW9j5pStb2HkclOORSD8nJyWjSpInCwq/dunWDVCrFmTNn5PvExMQoHNetWzckJyebpMZ58+bB19cXkZGRWLBggUL3d3JyMjp06ACxWKxQ24ULF/Dw4UOT1FeqoKAAR48eVThXdnZ2iImJMdm5qsylS5cQHByMWrVqYciQIbhx4wYA4OjRoygsLFSoPSIiAjVr1rSI2lNSUpCamqpQn6enJ6KiouT1JScnw8vLC61atZLvExMTAzs7Oxw6dMjkNQMlw578/f1Rv359vPrqq3jw4IH8PnPWm5WVBQDw8fEBoNnPX5PXClPVW2rt2rWoVq0aGjdujISEBOTm5srvM1e9xcXFWL9+PXJychAdHW3x59ZSZGVlKfx8NXltN/d7kzlYw3u2sVnDe605WOv7pDFY23sclXAwdwHWLDU1VeGXF4D8dmpqqtp9pFIpHj9+DGdnZ6PV9/rrr6NFixbw8fHBgQMHkJCQgLt372LRokXy2sLDw1XW7+3tbbTayrt//z6Ki4uVnqvz58+brA5VoqKisGrVKtSvXx93797FrFmz0L59e5w+fRqpqakQi8UVrtkICAiQ/x6YU2kNys5t2d9Tf39/hfsdHBzg4+NjlufQvXt3PP/88wgPD8eVK1fw7rvvokePHkhOToa9vb3Z6pXJZJg4cSLatm2Lxo0bA4BGP39NXitMVS8ADB48GKGhoQgODsbJkycxefJkXLhwARs3bjRLvadOnUJ0dDTy8vLg5uaGTZs2oWHDhjhx4oTFnltLcfnyZXz22Wf46KOP5Ns0eW1Xdd5s+ZxZ+nu2KVj6e625WOP7pDFY23scPVHlAt2UKVPw4Ycfqt3n3LlzChNeWBJt6o+Pj5dva9q0KcRiMcaNG4fExERIJBJjl2pTevToIf++adOmiIqKQmhoKH788Uerf4O3RAMHDpR/36RJEzRt2hS1a9dGUlISunTpYra64uLicPr0aezfv99sNWhDVb1jx46Vf9+kSRMEBQWhS5cuuHLlCmrXrm3qMlG/fn2cOHECWVlZ+OmnnxAbG4u9e/eavA5z0uW96fbt2+jevTtefPFFjBkzxtglmoW1v2cTWRNre4+jJ6pcoJs0aRKGDx+udp9atWpp1FZgYGCFmaFKZ/0JDAyU/7/8TEBpaWnw8PDQKQjoU39UVBSKiopw7do11K9fX2VtZes3lWrVqsHe3l5pPaauRRNeXl6oV68eLl++jGeffRYFBQXIzMxU+AuWpdReWkNaWhqCgoLk29PS0tC8eXP5Punp6QrHFRUVISMjwyKeQ61atVCtWjVcvnwZXbp0MUu948ePx2+//YZ9+/ahRo0a8u2BgYGV/vw1ea0wVb3KREVFASjp7aldu7bJ6xWLxahTpw4AoGXLljh8+DA++eQTDBgwwCLPrTFo+9p+584ddO7cGW3atMHy5csV9tPktV3VPpZ2zqz9PdvSWNt7ranYwvukvqztPY7KMfdFfNagsgusy84M9eWXXwoeHh5CXl6eIAglF1g3btxY4bhBgwaZ5QLrNWvWCHZ2dvLZAksvnC8oKJDvk5CQYNZJUcaPHy+/XVxcLFSvXt0iL9R+9OiR4O3tLXzyySfyC4Z/+ukn+f3nz5+3uElRPvroI/m2rKwspRd7HzlyRL7P9u3bzTYpSnk3b94URCKRsGXLFkEQTFuvTCYT4uLihODgYOHixYsV7tfk56/Ja4Wp6lVm//79AgDh33//NXm9ynTu3FmIjY21uHNrKW7duiXUrVtXGDhwoFBUVFThfk1e21966SXhueeeUzguOjq6SkyKYi3v2cZiTe+1xmJt75PGZG3vcaQcA50a169fF44fPy7MmjVLcHNzE44fPy4cP35cePTokSAIT6Zp7dq1q3DixAlh27Ztgp+fn9IpkN9++23h3LlzwpIlS0wyBfKBAweEjz/+WDhx4oRw5coVYc2aNYKfn58wbNgw+T6ZmZlCQECAMHToUOH06dPC+vXrBRcXF7MuWyCRSIRVq1YJZ8+eFcaOHSt4eXkpzJpkLpMmTRKSkpKElJQU4e+//xZiYmKEatWqCenp6YIglEzpW7NmTWH37t3CkSNHhOjoaCE6Otpk9T169Ej++wlAWLRokXD8+HHh+vXrgiCUTMfs5eUlbNmyRTh58qTQt29fpdMxR0ZGCocOHRL2798v1K1b12jTMaur99GjR8Jbb70lJCcnCykpKcLOnTuFFi1aCHXr1lV4YzBVva+++qrg6ekpJCUlKUzzn5ubK9+nsp+/Jq8Vpqr38uXLwuzZs4UjR44IKSkpwpYtW4RatWoJHTp0MEu9U6ZMEfbu3SukpKQIJ0+eFKZMmSKIRCLhzz//FATBss6tJbh165ZQp04doUuXLsKtW7cUfsalNHlt//vvvwUHBwfho48+Es6dOyfMmDHD6pctsOb3bFOy5PdaY7K290lTsbb3OFKOgU6N2NhYAUCFrz179sj3uXbtmtCjRw/B2dlZqFatmjBp0iShsLBQoZ09e/YIzZs3F8RisVCrVi1h5cqVRq/96NGjQlRUlODp6Sk4OTkJDRo0ED744IMKfyn5999/hXbt2gkSiUSoXr26MG/ePKPXps5nn30m1KxZUxCLxcJTTz0lHDx40Kz1lBowYIAQFBQkiMVioXr16sKAAQOEy5cvy+9//Pix8Nprrwne3t6Ci4uL8L///U/hA5ax7dmzR+nvamxsrCAIJX+BmzZtmhAQECBIJBKhS5cuwoULFxTaePDggTBo0CDBzc1N8PDwEEaMGCH/IGTKenNzc4WuXbsKfn5+gqOjoxAaGiqMGTOmwocNU9WrrE4ACv+ONfn5a/JaYYp6b9y4IXTo0EHw8fERJBKJUKdOHeHtt99WWIfOlPWOHDlSCA0NFcRiseDn5yd06dJFHuYEwbLOrSVYuXKlyp9xWZq8tv/4449CvXr1BLFYLDRq1EjYunWrqZ6GUVjze7apWep7rTFZ2/ukqVjbexwpJxIEQTDAyE0iIiIiIiIyMa5DR0REREREZKUY6IiIiIiIiKwUAx0REREREZGVYqAjIiIiIiKyUgx0REREREREVoqBjoiIiIiIyEox0BEREREREVkpBjoiIiIiIiIrxUBHZMOuXbsGkUgEkUiE5s2b691eaVteXl56t0VERKbB9wIi28ZAR1QF7Ny5E7t27dK7nbt372Lx4sX6F0RERCbH9wIi28RAR1QF+Pr6wtfXV+92AgMD4enpaYCKiIjI1PheQGSbGOiIrMS9e/cQGBiIDz74QL7twIEDEIvFWv/Fdfjw4ejXrx8++OADBAQEwMvLC7Nnz0ZRURHefvtt+Pj4oEaNGli5cqWhnwYREenh22+/ha+vL/Lz8xW29+vXD0OHDtWqLb4XENkGBjoiK+Hn54cVK1Zg5syZOHLkCB49eoShQ4di/Pjx6NKli9bt7d69G3fu3MG+ffuwaNEizJgxA8899xy8vb1x6NAhvPLKKxg3bhxu3bplhGdDRES6ePHFF1FcXIxffvlFvi09PR1bt27FyJEjtW6P7wVE1o+BjsiK9OzZE2PGjMGQIUPwyiuvwNXVFYmJiTq15ePjg08//RT169fHyJEjUb9+feTm5uLdd99F3bp1kZCQALFYjP379xv4WRARka6cnZ0xePBghV6zNWvWoGbNmujUqZPW7fG9gMj6MdARWZmPPvoIRUVF2LBhA9auXQuJRKJTO40aNYKd3ZOXgICAADRp0kR+297eHr6+vkhPT9e7ZiIiMpwxY8bgzz//xO3btwEAq1atwvDhwyESibRui+8FRNaPgY7Iyly5cgV37tyBTCbDtWvXdG7H0dFR4bZIJFK6TSaT6fwYRERkeJGRkWjWrBm+/fZbHD16FGfOnMHw4cN1aovvBUTWz8HcBRCR5goKCvDyyy9jwIABqF+/PkaPHo1Tp07B39/f3KUREZEJjR49GosXL8bt27cRExODkJAQc5dERGbCHjoiK/Lee+8hKysLn376KSZPnox69erpdBE8ERFZt8GDB+PWrVv46quv+D5AVMUx0BFZiaSkJCxevBjfffcdPDw8YGdnh++++w5//fUXli5dau7yiIjIhDw9PdG/f3+4ubmhX79+5i6HiMyIQy6JrESnTp1QWFiosC0sLAxZWVlat7Vq1aoK25KSkips0+caPSIiMq7bt29jyJAhOk+OxfcCItvAQEdUBbRp0wbNmzfHgQMH9GrHzc0NRUVFcHJyMlBlRESkrYcPHyIpKQlJSUn44osvND6O7wVEtomBjsiG1ahRA5cuXQIAnf+CW9aJEycAlExjTURE5hEZGYmHDx/iww8/RP369Svdn+8FRLZNJAiCYO4iiIiIiIiISHucFIWIiIiIiMhKMdARERERERFZKQY6IiIiIiIiK8VAR0REREREZKUY6IiIiIiIiKwUAx0REREREZGVYqAjIiIiIiKyUgx0REREREREVur/XyTXOksZf18AAAAASUVORK5CYII=\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from py_wake.superposition_models import SquaredSum\n", "from py_wake.flow_map import HorizontalGrid, YZGrid\n", "from py_wake import BastankhahGaussian\n", "\n", "D = 80\n", "R = D/2\n", "wfm = BastankhahGaussian(site, windTurbines, superpositionModel=SquaredSum())\n", "sim_res = wfm([0,200],[0,0],wd=270,ws=10)\n", "\n", "fig,(ax1,ax2) = plt.subplots(1,2, figsize=(10,4))\n", "ax1.set_xlabel(\"x [m]\"), ax1.set_ylabel(\"y [m]\")\n", "sim_res.flow_map(HorizontalGrid(extend=.1)).plot_wake_map(10, ax=ax1, plot_colorbar=False)\n", "sim_res.flow_map(YZGrid(x=199.99)).plot_wake_map(10, ax=ax2)\n", "ax2.plot([-100,100],[70,70],'-.')\n", "ax2.set_xlabel(\"y [m]\"), ax1.set_ylabel(\"z [m]\")\n", "\n", "plt.figure()\n", "flow_map = sim_res.flow_map(HorizontalGrid(x=[199.99], y=np.arange(-80, 80)))\n", "\n", "for x in [-.5,.5]:\n", " plt.gca().axvline(x,color='grey')\n", "plt.plot(flow_map.Y[:, 0]/D, flow_map.WS_eff_xylk[:, 0, 0, 0], '-.', label='Hub-height profile')\n", "plt.plot([-.5,.5],[7.73,7.73],label='Rotor average: 7.73m/s')\n", "rc_ws = flow_map.WS_eff_xylk[80, 0, 0, 0]\n", "plt.plot(flow_map.Y[80, 0]/D, rc_ws,'.', ms=10, label='Rotor center: %.2fm/s'%rc_ws)\n", "plt.legend()\n", "plt.xlabel(\"y/D\")\n", "plt.ylabel('Wind speed [m/s]')" ] }, { "cell_type": "markdown", "id": "622878f3", "metadata": {}, "source": [ "First we create a simple function to model all of the rotor-average models available in PyWake." ] }, { "cell_type": "code", "execution_count": 7, "id": "fff441bd", "metadata": {}, "outputs": [], "source": [ "from py_wake.rotor_avg_models import RotorCenter, GridRotorAvg, EqGridRotorAvg, GQGridRotorAvg, CGIRotorAvg, PolarGridRotorAvg, PolarRotorAvg, polar_gauss_quadrature, GaussianOverlapAvgModel\n", "from py_wake.flow_map import HorizontalGrid\n", "\n", "R=D/2\n", "\n", "def plot_rotor_avg_model(rotorAvgModel, name):\n", " plt.figure()\n", " m = rotorAvgModel\n", " wfm = BastankhahGaussian(site,windTurbines,rotorAvgModel=m)\n", " ws_eff = wfm([0, 200], [0, 0], wd=270, ws=10).WS_eff_ilk[1,0,0]\n", " plt.title(name)\n", " c = plt.scatter(m.nodes_x, m.nodes_y,c=m.nodes_weight,label=\"%.2fm/s\"%(ws_eff))\n", " plt.colorbar(c,label='weight')\n", " plt.gca().add_artist(plt.Circle((0,0),1,fill=False))\n", " plt.axis('equal')\n", " plt.xlabel(\"y/R\"); plt.ylabel('z/R')\n", " plt.xlim([-1.5,1.5])\n", " plt.ylim([-1.5,1.5])\n", " plt.legend()" ] }, { "cell_type": "markdown", "id": "d9e942bf", "metadata": {}, "source": [ "### RotorCenter\n", "Setting `rotorAvgModel=None` determines the rotor average wind speed from the rotor center point. Alternatively, you can use the `RotorCenter` model which is equivalent." ] }, { "cell_type": "code", "execution_count": 8, "id": "3a75c80e", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_rotor_avg_model(RotorCenter(), 'RotorCenter')" ] }, { "cell_type": "markdown", "id": "f47e154a", "metadata": {}, "source": [ "### GridRotorAvg\n", "\n", "The `GridRotorAvg` defines a set of points in cartesian coordinates." ] }, { "cell_type": "code", "execution_count": 9, "id": "fb4b3bc7", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = y = np.array([-.6, 0,.6])\n", "plot_rotor_avg_model(GridRotorAvg(x,y,nodes_weight = [0.25,.5,.25]), 'Grid_4')" ] }, { "cell_type": "markdown", "id": "cb988f46", "metadata": {}, "source": [ "### EqGridRotorAvg\n", "\n", "The `EqGridRotorAvg` defines a NxN equidistant cartesian grid of points and discards points outside the rotor." ] }, { "cell_type": "code", "execution_count": 10, "id": "53c6a1f0", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_rotor_avg_model(EqGridRotorAvg(4), 'Grid_4')" ] }, { "cell_type": "markdown", "id": "9385ed3d", "metadata": {}, "source": [ "### GQGridRotorAvg\n", "\n", "The `GQGridRotorAvg` defines a grid of M x N cartesian grid points using Gaussian quadrature coordinates and weights." ] }, { "cell_type": "code", "execution_count": 11, "id": "5bb765e0", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_rotor_avg_model(GQGridRotorAvg(4,3), 'GQGrid_4,3')" ] }, { "cell_type": "markdown", "id": "f725eb2b", "metadata": {}, "source": [ "### PolarGridRotorAvg\n", "\n", "The `PolarGridRotorAvg` defines a grid in polar coordinates." ] }, { "cell_type": "code", "execution_count": 13, "id": "3e2110ce", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "theta = np.linspace(-np.pi,np.pi,6, endpoint=False)\n", "r = 2/3\n", "plot_rotor_avg_model(PolarGridRotorAvg(r=r, theta=theta, r_weight=None, theta_weight=None), 'PolarGrid_6')" ] }, { "cell_type": "markdown", "id": "e25b6f4a", "metadata": {}, "source": [ "**The polar grid can be combined with Gaussian Quadrature.** \n", "\n", "This is similar to the implementation in FusedWake: https://gitlab.windenergy.dtu.dk/TOPFARM/FUSED-Wake/-/blob/master/fusedwake/gcl/fortran/GCL.f" ] }, { "cell_type": "code", "execution_count": 14, "id": "ac9e9998", "metadata": {}, "outputs": [ { "data": { "image/png": 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mzZupW7euoczYsWOJi4tj0KBB3L9/n6ZNm7Jr1y7DCMBy5cqxa9cuJk6cSKtWrUhKSqJOnTps2bKFBg0a5OIVMJ7M8/QMsbGx2NvbExMTIx3GhRDZpigKUVFR3L9/X+1QRB4rXbo0Tk5OGXYKN8V7Ruo1rp2rkOvRdq7u1+X9zQhS8ySEEPkgNXFycHCgRIkSMsluEaAoCo8ePTLMpq3GKC9RMEjyJIQQeUyn0xkSp7Jly6odjshDNjY2ANy8eRMHBwdVm/Ce7PRt7PHCOJI8CSFEHkvt41SiRAmVIxH5IfX3mpSUpHrypJPkSRUyVYEQQuQTaaormuT3KqTmSQghhCiEpNlOPZI8CSGEEIWQTlHQ5WLAfG6OLe6k2U4IIUSGkpKS+Oijj6hXrx62tra4uLjQu3dvIiMj05SbPn06TZo0oUSJEpQuXTpb5+7bty8ajSbN1qZNG8Pj+/fvT/d46nbkyJE8eX4tW7ZkyZIleXIuUbxIzZMQQhRASYlJ7Pv2d3Z88zNRV25R2sGO1/q0wLdfS2ztTNMR/dGjRxw7dozJkyfToEED7t27x4gRI/Dz8+Po0aOGcomJiXTt2pXGjRuzdOnSbJ+/TZs2LF++3PDzk8uCNGnShBs3bqQpP3nyZEJCQvDy8srFs0px9+5dfv/9d9avX5/rc6lF/++Wm+OFcaTmSQghCpjHcfGM9fmEL/ot4Mwff3Mn8i6XTlwhaPRKhnqO5XbkXZPEYW9vz549e3jzzTd5/vnneemll5g/fz5hYWFEREQYyn388ceMGjWKevXq5ej8VlZWODk5GbYyZcoYHrO0tEzzWNmyZdmyZQv9+vUzdNhesWIFpUuXZtu2bTz//POUKFGCN954g0ePHrFy5UqqVKlCmTJleP/999HpdGmuvX37dl588UUcHR25d+8evXr1onz58tjY2FCjRo00SV1Bpft3tF1uNmEcqXkSQogCZvGHqzkT+jcAiv6/NzhFUYi+eovAXl8xa9/HqsQWExODRqPJdvNcVvbv34+DgwNlypShVatWTJs2LdN5sYKDg7lz545hDbVUjx49Yu7cuaxfv54HDx7w+uuv07lzZ0qXLs2OHTu4fPkyXbp04eWXX6Zbt25pztepUycgpUbrzJkz7Ny5k3LlynHx4kUeP36c6+eX33RKypab44VxJHkSQogC5OH9OH5avhe9LuNGFV2ynj8PnCH8VARudSuZNLb4+Hg++ugjevTokevlPNq0acPrr7+Om5sbly5dYsKECbRt25bQ0NAM505aunQpvr6+VKxYMc3+pKQkFi1aRLVq1QB44403WL16NdHR0ZQsWZLatWvTsmVL9u3bZ0ieEhIS2LVrF1OnTgVS1mN74YUXDM2BVapUydVzE0WfNNsJIUQBcvF4OEkJyVkX0sCpX8/m+bXXrl1LyZIlDduvv/5qeCwpKYk333wTRVFYtGhRrq/VvXt3/Pz8qFevHv7+/mzbto0jR46wf//+dGX/+ecffvrpJ/r375/usRIlShgSJwBHR0eqVKlCyZIl0+xLXVIFYO/evTg4OFCnTh0AhgwZwvr16/Hw8GDs2LEcPHgw18/PFPR5sAnjSPIkhBAFSLYmYFSAfJio0c/PjxMnThi21JqY1MTp6tWr7NmzJ18Wka1ataqhyexpy5cvp2zZsvj5+aV7zMLCIs3PGo0mw316/X+pQnBwcJpztW3blqtXrzJq1CgiIyNp3bo1Y8aMye1Tynd6NOhysemRyT6NJc12QghRgNTwrIqVjSUJjxOzLNegRZ08v3apUqUoVapUmn2pidOFCxfYt29fvq3V988//3Dnzp10i+0qisLy5cvp3bt3uqTIGIqisHXrVtasWZNmf/ny5enTpw99+vThlVde4cMPP+TLL7/M9fVE0SQ1T0IIUYCUKGVD+0GvotFmXCugNdfi+VoDKrlXyPdYkpKSeOONNzh69Chr165Fp9MRFRVFVFQUiYn/JXcRERGcOHGCiIgIdDqdoebq4cOHhjLu7u78+OOPADx8+JAPP/yQP/74gytXrhASEkKnTp2oXr06vr6+aWLYu3cv4eHhDBgwIE+eU1hYGI8ePaJp06aGfQEBAWzZsoWLFy9y+vRptm3bRq1atfLkevlJr+R+E8aRmichhChg+gf2JOLsPxzdfRKtmRa9To9Go0FRFFxrujBu9XCTxHH9+nWCg4MB8PDwSPPYvn37aNGiBZCSfKxcudLw2AsvvJCuzPnz54mJiQHAzMyMP//8k5UrV3L//n1cXFx47bXX+PTTT9PM9QQpHcWbNGmCu7t7njynLVu20K5dO8zN/3v7s7S0ZPz48Vy5cgUbGxteeeWVQjH/U2rzW26OF8bRKIrMz56V2NhY7O3tiYmJyZd2fiFE0RMfH094eDhubm5YW1sbdQ6dTsfBLUdTJskMv0kZJ3te692Clj1exsrG6tknEBmqX78+kyZN4s033zT6HFn9fk3xnpF6jUOnnShZyvgGpIcP9HjXiZL3NyNIzZMQQhRAZmZmvPK6N6+87q12KEVGYmIiXbp0oW3btmqHkiek5kk9kjwJIYQoFiwtLZkyZYraYeQZvaJBrxifAOXm2OJOOowLIYQQQuSA1DwJIYQQhZA026lHkichhMgnMh6naCoov1cdWnS5aEDSPbuIyIQkT0IIkcdSJ3N89OgRNjY2Kkcj8tqjR4+A9LObm5qSyz5PivR5MpokT0IIkcfMzMwoXbq0YT21EiVKZG/ZFVGgKYrCo0ePuHnzJqVLl85wAWNRPEjyJIQQ+cDJyQkgzYK0omgoXbq04ferJunzpB5JnoQQIh9oNBqcnZ1xcHAgKSlJ7XBEHrGwsCgwNU46RYtOyUWfp4LRdatQkuRJCCHykZmZWYF5sxVC5A1JnoQQQohCSI8GfS5G2+mRqidjSfIkhBBCFELS50k9MsO4EEIIIUQOSM2TEEIIUQjlvsO4NNsZS5InIYQQohBK6fOUi4WBpdnOaNJsJ4QQQgiRA1LzJIQQQhRC+lyubSej7YwnyZMQQghRCEmfJ/VI8iSEEEIUQnq0Ms+TSqTPkxBCCCFEDkjNkxBCCFEI6RQNOiUXk2Tm4tjiTpInIYQQohDS5bLDuE6a7YwmzXZCCCGEEDlQqJKnX375hY4dO+Li4oJGo2Hz5s3PPGb//v28+OKLWFlZUb16dVasWJHvcQohhBD5Ta9oc70J4xSqVy4uLo4GDRqwYMGCbJUPDw+nffv2tGzZkhMnTjBy5EgGDBjATz/9lM+RCiGEEPkrtdkuN5swTqF65dq2bcu0adPo3LlztsoHBQXh5ubGrFmzqFWrFsOGDeONN97gf//7Xz5HKoQQQhRNCxYsoEqVKlhbW+Pt7c3hw4ezLL9x40bc3d2xtramXr167NixI83jiqIQEBCAs7MzNjY2+Pj4cOHCBcPj+/fvR6PRZLgdOXIkX57jsxSq5CmnQkND8fHxSbPP19eX0NBQlSISonBTFAWdTkdCQgKPHj0iMTERRSbaE0IVev4bcWfMpjfimhs2bGD06NFMmTKFY8eO0aBBA3x9fbl582aG5Q8ePEiPHj3o378/x48fx9/fH39/f06dOmUoM3PmTObOnUtQUBCHDh3C1tYWX19f4uPjAWjSpAk3btxIsw0YMAA3Nze8vLyMeBa5V6RH20VFReHo6Jhmn6OjI7GxsTx+/BgbG5t0xyQkJJCQkGD4OTY2Nt/jFEINiYmJREVFERkZabghpX7/5L7Hjx+TnJxMUlISycnJGZ5Lq9Vibm6Oubk5FhYWlC5dGhcXF5ydnTP9WrZsWTQaGSothLFyP0lmzo+dPXs2AwcOpF+/fkBKC8/27dtZtmwZ48aNS1f+q6++ok2bNnz44YcAfPrpp+zZs4f58+cTFBSEoijMmTOHSZMm0alTJwBWrVqFo6Mjmzdvpnv37lhaWuLk5GQ4Z1JSElu2bGH48OGq3UOKdPJkjMDAQD7++GO1wxAiTyQkJPDnn38SFhbG8ePHuXr1qiExun37dpqyFhYWODk5GZKbl19+GScnJ2xtbbGwsDAkR6mbVqslOTk53ZaUlMTdu3cNSdiBAweIjIzkzp076a7n7OxsSKief/55PD098fLyonLlypJYCWEiT1cSWFlZYWVlla5cYmIiYWFhjB8/3rBPq9Xi4+OTaYtOaGgoo0ePTrPP19fXMOArPDycqKioNK1E9vb2eHt7ExoaSvfu3dOdMzg4mDt37hgSODUU6eTJycmJ6OjoNPuio6Oxs7PLsNYJYPz48Wl+0bGxsbi6uuZrnELkhfj4eP766y/CwsIICwvj6NGjnDp1iuTkZMzMzKhTpw7VqlWjWbNmmdYEabX515KfkJBAVFRUhjVc169fZ9WqVcyYMQOA5557Dk9PzzRblSpVJKES4gm5X9su5din3+OmTJnC1KlT05W/ffs2Op0uwxadc+fOZXiNzFqAoqKiDI+n7suszNOWLl2Kr68vFStWzOSZ5b8inTw1btw4Xce0PXv20Lhx40yPySzjFqIgSUxM5MSJE4ZEKSwsLE2iVLduXTw9PRk4cCCenp7Ur18/0w8MpmJlZUXlypWpXLlypmWioqLSJH9PJ1QvvviiIZlq2LAhVapUMVH0QhQ8ejToMf4DReqx165dw87OzrC/IL8H/vPPP/z000989913qsZRqJKnhw8fcvHiRcPP4eHhnDhxgueee45KlSoxfvx4wydYgMGDBzN//nzGjh3LO++8w969e/nuu+/Yvn27Wk9BCKPduXOHnTt3EhwczK5du3jw4EGBTZSM5eTkRPv27Wnfvr1h35MJVVhYGKtXr+bzzz8HoGbNmvj5+eHn50fjxo0xNy9UtzQhciWvap7s7OzSJE+ZKVeuHGZmZhm26DzZJ+lJmbUApZZP/RodHY2zs3OaMh4eHunOt3z5csqWLYufn98z481PhepOc/ToUVq2bGn4ObV5rU+fPqxYsYIbN24QERFheNzNzY3t27czatQovvrqKypWrMiSJUvw9fU1eexCGOPChQsEBwcTHBzMb7/9hl6vp2HDhnz44Ye8+uqrNGjQoNAmStmVWUL1xx9/sH37dlavXs2XX35J2bJladeuHX5+fvj6+lKqVCkVoxai6LG0tMTT05OQkBD8/f0B0Ov1hISEMGzYsAyPady4MSEhIYwcOdKw78kWIDc3N5ycnAgJCTEkS7GxsRw6dIghQ4akOZeiKCxfvpzevXtjYWGR588vJzSKjDPOUmxsLPb29sTExGQrMxciN3Q6HX/88YchYTp37hzW1ta0bt0aPz8/OnTogIuLi9phFih6vZ4jR44YXrNTp05haWlJy5Yt8fPzo2PHjtJvUZiMKd4zUq/x5dGm2JQ0vg7k8cNkxnj9lqNYN2zYQJ8+ffj6669p1KgRc+bM4bvvvuPcuXM4OjrSu3dvKlSoQGBgIJAyVUHz5s2ZMWMG7du3Z/369Xz22WccO3aMunXrAvD5558zY8YMVq5ciZubG5MnT+bPP//kzJkzWFtbG64dEhKCj48PZ8+exd3d3ejnnRcKVc2TEEVRUlISO3bsYPPmzWzbto3bt29Tvnx5OnbsyIwZM/Dx8cHW1lbtMAssrVaLt7c33t7eTJ8+nfDwcLZu3UpwcDAjRozgvffe44UXXsDPz49u3bpRq1YttUMWIk/oFQ16JRd9now4tlu3bty6dYuAgACioqLw8PBg165dhg7fERERaQaeNGnShHXr1jFp0iQmTJhAjRo12Lx5syFxAhg7dixxcXEMGjSI+/fv07RpU3bt2pUmcYKUjuJNmjRRPXECqXl6Jql5EvklMjKSb775hsWLFxMZGUmdOnXo2LEjfn5+NGrUCDMzM7VDLPTu37/Prl27CA4OZufOndy/f58WLVowdOhQ/P39Va/6F0WPKWueZh55Jdc1T2Mb/irvb0aQmichTEhRFPbv38/ChQv58ccfsba25q233mLIkCE0aNBA7fCKnNKlS9O9e3e6d+9OYmIimzZtYuHChbz55ps4OzszcOBABg0aRIUKFdQOVYgc0+dyfbrcTLBZ3MkrJ4QJxMTEMG/ePOrUqUOrVq04ffo0c+bM4fr16wQFBUniZAKWlpZ0796dX375hT///BN/f39mz55N5cqV6dKlCyEhIbLUjChU9Io215swjrxyQuSjkydP8u677+Li4sLo0aOpW7cu+/bt4/Tp0wwbNgx7e3u1QyyW6tWrx8KFC7l+/Tpz587l/Pnz+Pj4UKtWLb766ivu37+vdohCiAJMkich8pher2f9+vW8/PLLeHh4sG3bNj766COuXr3Kd999R4sWLWSm7ALCzs6OoUOH8tdff3HgwAE8PDwYM2YMFSpUYODAgZw9e1btEIXIlA5NrjdhHEmehMgjiqKwfft2XnjhBXr06IG1tTU//PADV65cISAgQKYYKMA0Gg3NmjVj/fr1XLt2jfHjx7Nz507q1q1L//79uXbtmtohCpGONNupR145IfJA6lwmHTp0oEyZMoSGhhISEsLrr78uI7oKGScnJyZNmsSlS5f43//+x9atW6lRowZjxoxJt7ixEKJ4kuRJiFw4ffo0nTp14uWXXyY2NpYdO3awb98+XnrpJbVDE7lkZWXF+++/z6VLlxg/fjxff/01VatW5bPPPiMuLk7t8IRAR26b7oSxJHkSwghXr16lb9++1KtXj1OnTrF27VqOHTtG27ZtpT9TEVOqVCmmTJnCpUuX6NevH1OnTqV69eosWrSIpKQktcMTxZg026lHXjkhcuD27duMHj2amjVrsnPnTubNm8fZs2fp2bNnmll1RdHj4ODAnDlz+Pvvv3n11Vd57733qFWrFuvXr0ev16sdniiGUhcGzs0mjCOTZAqRDY8ePWLWrFl88cUXAEyaNIlRo0ZRsmTJdGUbtpuI7Zk7mN17BFotiVXKkPy8PaHrp5o4apFTDdtNpOTpO2jvPQKzlN+dvqY9v2+YaihTpUoVVq1axYcffsiECRPo0aMHM2fOZObMmfj4+KgXvBDCZCTtFOIZfv/9dzw8PJg2bRoDBgzg8uXLTJ48OcPEqVn9EZTe9TfmEXfQPniMJiYOq5P/YLvpHA3bT1QhepFdzeq+T+ldf2N27Q7ah//97mx+PEfDDul/d/Xq1WPr1q38+uuv2NjY8Oqrr9KvXz+ZI0qYjIIGfS42RaYqMJokT0Jk4tGjR3zwwQe88sorlC1blpMnTzJ79mzKlSuXYfnGLcdhdSoSwHBL0qR+n6zD/ufL9BqzwBShixxq3PwjrM7cADL/3b03dVmGxzZt2pTffvuNJUuWsGnTJurWrcuOHTtMEbYo5qTZTj3yygmRgdTapgULFjBz5kx+++23Z67kXeJEFJkt7qEBNEnJXDkYnuexitwrcfIZv7vEZI7/fC7T4zUaDf379+fUqVPUrVuX9u3bSy2UEEWYJE9CPOHp2qYTJ04wZswYzMzMsjzu0/mb0MbEZVkJrgBW1x7kabwi93qNWYA29lE2fnexzzyXq6srO3fulFooYRJ6RZPrTRhHkich/mVMbVOqBw8fZe8iell4tqB5EPc4ewWz+buTWihhKjq0ud6EceSVE8WesbVNT5o57i2UktaZNv2kSnRO38lcqCt40RiUElZ5/ruTWighii5JnkSxlpvapqc9quuUadOPAqDVYl3bwdhQRT56/KzfnZkWu3qOOT6v1EKJ/CTNduqR5EkUS4qiMGvWLJo1a2Z0bdPTli3rT1LllJF4T9ZipCROGh60rMrPq8blKm6RP5auGECya1kg499dbKtq7Fw61ujzP10L9eKLL3Lq1KlcxSyEHm2uN2EceeVEsRMfH0/fvn0ZM2YMH374Ya5qm57k7u5O0M4RPGhRDX3ZUijmZiiWFiRXdeB+25oc2hOYB9GL/ODu7s6in0bysHk1lOdK/ve7q+bAvfY1OfzTZ7m+Rmot1MmTJylVqhSNGzdmy5YteRC9EMLUZIZxUazcuHGDzp07c/LkSdauXUvPnj3z9Pzu7u78sXdGnp5TmIa7uzuh+/L/d1elShUOHjxInz598Pf359NPP2XixImyJqLIMZ2iQZeLprfcHFvcSfIkio0jR47g7++PRqPh119/xcvLS+2QRDFla2vLd999x7Rp05g8eTJ//fUXy5cvp0SJEmqHJgqR3PZbkj5PxpNmO1EsrFu3jmbNmlGpUiWOHDkiiZNQnVarJSAggB9++IHt27fTtGlTIiIi1A5LFCKKokWfi02RGcaNJq+cKNJ0Oh3jxo2jV69edOvWjX379uHs7Kx2WEIYvP766xw8eJC7d+/SsGFDfv/9d7VDEkI8gyRPosiKiYmhU6dOfPHFF8yePZvly5djbW2tdlhCpFO/fn2OHDlCrVq1aNmyJUuXLlU7JFEI6NDkehPGkT5Poki6cOECfn5+3Lhxgx07duDr66t2SEJkqXz58uzZs4f333+fAQMG8OeffzJr1izMzeU2LTKmV3LXb0kWPDCe/FWKIic0NJT27dvj4ODA4cOHqVmzptohCZEtFhYWLFq0iPr16/P+++9z/vx5Nm3aJB3JhShgpNlOFCkHDhzg1VdfpV69ehw6dEgSJ1EoDRkyhJ9++onffvuNdu3a8eCBLCgt0stNZ/HUTRhHXjlRZOzevZu2bdvSpEkTdu7cib29vdohCWG0Vq1asXv3bo4fP46vry8xMTFqhyQKGD2aXG/COJI8iSJh27ZtdOzYkVatWhEcHCzNHKJIaNKkCSEhIZw7d47WrVtz584dtUMSQiDJkygCNm3aROfOnenQoQObNm2SEXWiSPHy8mLfvn1ERETQsmVLbt68qXZIooBInWE8N5swjiRPolD78ccfefPNN+natSsbNmzA0tJS7ZCEyHMNGjRg//793Lp1i9atW3P79m21QxIFgPR5Uo+8cqLQ2rFjB926daNLly6sWrVKhnSLIq127drs3buX6OhoXnvtNe7fv692SEIUW5I8iUIpJCSE119/nXbt2rFmzRpJnESxUKtWLX7++WeuXr1KmzZtZBReMadHY1jfzqhNOowbTZInUej88ssvdOzYkZYtW7JhwwYsLCzUDkkIk6lfvz67d+/m7NmztG/fnri4OLVDEipRcjnSTpHkyWiSPIlC5ciRI7Rv357GjRuzadMmrKys1A5JCJPz9PRk165dHDt2jE6dOpGQkKB2SEIFuap1+ncTxpHkSRQa169fx8/Pj7p16xIcHIyNjY3aIQmhmsaNG7N9+3Z+/fVX3nvvPRRF1toQwlQkeRKFwuPHj/H398fc3JzNmzdja2urdkhCqK558+YsXryYpUuXMn/+fLXDESYmo+3UI71sRYGnKAoDBgzg9OnT/Pbbbzg6OqodkhAFRp8+ffjzzz8ZNWoUtWrVwsfHR+2QhInktulNmu2MJ2mnKPBmzpzJunXrWL58OS+++KLa4QhR4Hz++ee0bt2aN998k4sXL6odjhBFniRPokDbvn0748ePZ+LEiXTr1k3tcEzmyqVzLNn5mdphFFp/nPmdVXv+p3YYJmNubs769espV64cnTp1IjY2Vu2QhAnI2nbq0SjSyzBLsbGx2NvbExMTg52dndrhFCtnz57F29ubVq1asWnTJrTaop/rj/mmF3/tqYRyVotWDzobDbaNHvNCkximvLVE7fAKvFGLenPqJ1e0F0GjQHJJDaWbxNG6dUmGdPhU7fDy3blz5/D29qZZs2Zs3rwZMzMztUMqdkzxnpF6jfY/DcDC1vhVFZLiEtnuu0Te34xQ9N+NRKF09+5d/Pz8qFSpEqtXry4WidP78/vy57wqcCYlcQIwe6zw+BdrflnkzNQ1/VSNr6Ab9MVAziz4L3ECMHuo8GB3Cb6fo7Bo22R1AzQBd3d31q9fz/bt25k8ueg/X6GOBQsWUKVKFaytrfH29ubw4cNZlt+4cSPu7u5YW1tTr149duzYkeZxRVEICAjA2dkZGxsbfHx8uHDhQrrzbN++HW9vb2xsbChTpgz+/v55+bRypOi/I4lCJzk5mW7dunH37l2Cg4MpVaqU2iHlux2hqzmzoiIa3X9v/Kk0CpjH6Dm0UzrKZ2bG+qFcWeMAStrXT/PvZn5D4acdj9QKz6Tatm3L559/TmBgIN9++63a4Yh8pMY8Txs2bGD06NFMmTKFY8eO0aBBA3x9fTNdsPrgwYP06NGD/v37c/z4cfz9/fH39+fUqVOGMjNnzmTu3LkEBQVx6NAhbG1t8fX1JT4+3lDmhx9+4O2336Zfv36cPHmS33//nZ49e+b8Rcsj0mz3DNJsZ3qjRo1i3rx57N69m1atWqkdjkkM+nwQEavKZ1lGbwbNJ9xhYvcgE0VVePScMJw7W+yy7MGhs9YwYbE3LT07miwutSiKQu/evfn+++/57bff8PT0VDukYsOUzXa+Owflutnup7aLcxSrt7c3DRs2NEyNodfrcXV1Zfjw4YwbNy5d+W7duhEXF8e2bdsM+1566SU8PDwICgpCURRcXFz44IMPGDNmDAAxMTE4OjqyYsUKunfvTnJyMlWqVOHjjz+mf//+Rj/fvCQ1T6JAWb58OXPmzOGrr74qNokTwK2IUjzrQ6BWB3fuy1IcGbl31ZZn9X01i1f46eR60wSkMo1GwzfffEP9+vXp1KkTUVFRaockCrDY2Ng0W2Yz1icmJhIWFpZmOgytVouPjw+hoaEZHhMaGppu+gxfX19D+fDwcKKiotKUsbe3x9vb21Dm2LFjXL9+Ha1WywsvvICzszNt27ZNU3tlapI8iQLj0qVLDBs2jHfeeYehQ4eqHY5Jac31eVquuNFaZK8C3dKi+ExtZ21tzY8//khycjKDBg2SGciLoLxqtnN1dcXe3t6wBQYGZni927dvo9Pp0s215+jomGmCHhUVlWX51K9Zlbl8+TIAU6dOZdKkSWzbto0yZcrQokUL7t69m5OXLM9I8iQKBL1ezzvvvIOjoyNfffUVGk3xGkLrVudWur5OT1JIGTn2RpPilVRmV5UGz379khw1fPL2SpPFVBC4uLgQFBTE1q1bWbt2rdrhiDymkLvpClL/ZK5du0ZMTIxhGz9+vJpPKx29PuVD48SJE+nSpQuenp4sX74cjUbDxo0bVYlJkidRICxYsIBffvmFpUuXUrJkSbXDMbkvB60huQqZNt1pAEefGF6q/bIpwyo0PvQbS1JZTZavXzXfjDu0FnX+/v707NmT999/nxs3bqgdjshDeVXzZGdnl2bLbMH1cuXKYWZmRnR0dJr90dHRODk5ZXiMk5NTluVTv2ZVxtnZGYDatWsbHreysqJq1apERERk67XKa5I8CdVdunSJcePGMXToUFq2bKl2OKpp2vMGyU4pNzNFk/KpMjUZsHolgenvvKdecAVclWruNOwbTnKZ9K+fApRu/5DFHy1WNUY1zZ07F0tLS959911pvhNGs7S0xNPTk5CQEMM+vV5PSEgIjRs3zvCYxo0bpykPsGfPHkN5Nzc3nJyc0pSJjY3l0KFDhjKenp5YWVlx/vx5Q5mkpCSuXLlC5cqV8+z55UTx6QAgCqQnm+s+//xztcNR1dRey7jy0jm+CJ7JpcOO6B5rsS6fSK1GkcwcKE0uzzLjnbXsa7CVb/cGc/VIOfSJWko4J+DuFcnn/depHZ6qypYtS1BQEJ07d2bt2rW89dZbaock8oAaa9uNHj2aPn364OXlRaNGjZgzZw5xcXH065cyD13v3r2pUKGCod/UiBEjaN68ObNmzaJ9+/asX7+eo0ePsnhxyocZjUbDyJEjmTZtGjVq1MDNzY3Jkyfj4uJimMfJzs6OwYMHM2XKFFxdXalcuTJffPEFAF27djX6+eeGJE9CVanNdXv37i2WzXVPq1LNnQWjlqkdRqHV0rNjsZiKwBhPNt+1bt3a0BQiCi81kqdu3bpx69YtAgICiIqKwsPDg127dhk6fEdERKSZ1LhJkyasW7eOSZMmMWHCBGrUqMHmzZupW7euoczYsWOJi4tj0KBB3L9/n6ZNm7Jr1y6sra0NZb744gvMzc15++23efz4Md7e3uzdu5cyZcoY/fxzQ+Z5egaZ5yn/XLp0ifr169O3b18WLFigdjhCFHl37tyhTp06NGrUiC1bthS7gRmmYMp5npptHYq5bcb9k7IjOS6BXzoulPc3I0ifJ6EKaa4TwvRSm++2bt3KmjVr1A5H5JIaM4yLFIUuecrJmjorVqxAo9Gk2Z6sBhTqKe6j64RQi4y+KzoURZPrTRinUCVPOV1TB1I6mt24ccOwXb161YQRi4zI6Doh1DV37lysrKxk9J0QRipUydPs2bMZOHAg/fr1o3bt2gQFBVGiRAmWLcu8g61Go8HJycmwPT2LqTAtRVHo37+/NNcJoaInm+/WrSveIxELs9xMkJm6CeMUmuTJmDV1AB4+fEjlypVxdXWlU6dOnD592hThikxs2bKFAwcOsGjRImmuE0JF/v7+dOnShfHjx6dZvV4UHtLnST2FJnkyZk2d559/nmXLlrFlyxbWrFmDXq+nSZMm/PPPP5leJyEhId0iiSJv6HQ6JkyYQOvWrfH19VU7HCGKvc8++4zIyEgWLlyodihCFCqFJnkyRuPGjenduzceHh40b96cTZs2Ub58eb7++utMjwkMDEyzQKKrq6sJIy7aVq1axdmzZzNddFIIYVo1a9akf//+TJ8+nZiYGLXDETkkHcbVU2iSJ2PW1HmahYUFL7zwAhcvXsy0zPjx49MskHjt2rVcxS1SxMfHM2XKFN544w0aNmyodjhCiH8FBATw6NEjvvzyS7VDETkkzXbqKTTJkzFr6jxNp9Px119/ZTmzrpWVVbpFEkXuLVy4kMjISKZPn652KEKIJ1SoUIERI0Ywe/bsTLtAiIJJap7UU2iSJ0hZU+ebb75h5cqVnD17liFDhqRbU2f8+PGG8p988gm7d+/m8uXLHDt2jLfeeourV68yYMAAtZ5CsRQTE8Nnn31G//79qVmzptrhCCGe8tFHH2Fpacm0adPUDkWIQqFQrW2X0zV17t27x8CBA4mKiqJMmTJ4enpy8OBBateurdZTKJa+/PJL4uLiCAgIUDsUIUQGypQpw7hx45g0aRKjRo2iWrVqaockskHJZdOb1DwZT9a2ewZZ2y53oqKiqFatGsOHD2fGjBlqhyOEyMSjR4+oUaMGzZs3l7mfcsGUa9u98P1ozEoYv7ad7lECx9+YLe9vRihUzXai8Jk2bRqWlpZ89NFHaocihMhCiRIlmDJlCt9++y0nTpxQOxwhCjRJnkS+uXTpEl9//TXjxo2jTJkyaocjhHiGd955h5o1a6bpOyoKLplhXD2SPIl8ExAQgIODA8OHD1c7FCFENpibmzN9+nR27drF/v371Q5HPIOMtlOPJE8iX1y6dIlvv/2WyZMnU6JECbXDEUJkU5cuXfD09JSRd0JkQZInkS+CgoIoXbo0ffr0UTsUIUQOaDQaRo4cSUhICOfPn1c7HJEFmSRTPZI8iTz3+PFjli1bxjvvvIONjY3a4QghcuiNN96gXLlyBAUFqR2KyIKi5H4TxpHkSeS57777jrt37zJ48GC1QxFCGMHa2pr+/fuzfPly4uLi1A5HiAJHkieR5xYuXIivry/Vq1dXOxQhhJHeffddYmNjWb9+vdqhiExIh3H1SPIk8tTRo0c5fPgwQ4cOVTsUIUQuuLm50a5dOxYsWIDMpVwwSfKkHkmeRJ5atGgRlSpVon379mqHIoTIpaFDh3L8+HEOHz6sdigiA9JhXD2SPIk8c+/ePdatW8fgwYMxMzNTOxwhRC61adMGNzc3Fi5cqHYoQhQokjyJPLNixQp0Oh39+/dXOxQhRB7QarUMGTKEDRs2cPv2bbXDEU+R0XbqkeRJ5Am9Xs/ChQvp2rUrDg4OaocjhMgj/fr1A2DZsmUqRyKelpIA5abPk9rPoPCS5EnkiZ9//pmLFy9KR3Ehiphy5crRrVs3goKC0Ol0aocjRIEgyZPIEwsXLqR+/fo0adJE7VCEEHls6NChhIeH89NPP6kdiniCjLZTjyRPItfu3r3Ltm3bGDRoEBqN/DEKUdQ0atSIBg0asHLlSrVDEU9Q8mATxjFXOwBR+O3YsQOdTkfnzp3VDkU8ZeO+xWzdf5Lrv5ZBGwN6a7D3jKOO5x0+7bNK7fAYtagPp0MqoL+a8jnOzE1HnVb/MHvwapUjE0/SaDS8/vrrzJo1i8TERCwtLdUOSQhVSc2TyLWtW7fSsGFDXFxc1A5FPGHRtskEBUZw8/vSmEcrmMUrmN9XiAspQej8Sny4pKeq8fUY9z5n5ldEc06D+SMF80cKnNFyel4l3g4YpmpsIj0/Pz9iY2P59ddf1Q5F/Eua7dQjyZPIlcTERHbu3Imfn5/aoYinbN+UgPn1lIr51Fuk5t/N7LHCsZXVuHLpnCqxjQrqzd2tpVLieaLtIPX7mz/YM2bxW6rEJjLWoEEDXF1dCQ4OVjsUkUra7VQjyZPIlQMHDvDgwQM6duyodijiCbO+H01imAWZfa7UKGBxV8/snYEmjSvV6b0VyCw4zb//nP61oilDEs+g0Wjo2LEjwcHBslxLQZHbWiepeTKaJE8iV4KDg6lUqRL169dXOxTxhH9u3UGbnHUZRQPXLz5nmoCeor9ilqbG6WkaBRIvS5fMgsbPz48rV65w6tQptUMRQlWSPAmjKYpCcHAwfn5+MsquwMlezYBWrV9bdq4r/6UKnBYtWlCyZElpuisgZIZx9UjyJIz2119/ERERIf2dCqA6VdzRWWadfWgUcH1enSU3LKonZ9lioGjAukai6QIS2WJlZUWbNm3YunWr2qEIpMO4miR5EkYLDg6mVKlSNG/eXO1QxFMGtJ1AiZfiM61/UjSQ5KRRbUqAOs3/SYkjg8dS99V5+brJ4hHZ5+fnx6FDh4iKilI7FCFUI8mTMFpwcDBt27aVOV8KqHd7N0BXPeX71A+YqQNskktp8Hr7slqh8eWgNbh0uwtP9VlV/h0O6NrrNjMHrFUtPpG5du3aodVq2bZtm9qhiNRO37nZhFEkeRJGiYyM5MiRI9JkV4C1a/w20wLbUaVfNDo3SCqtIdlFQ/nOMfiNTebzvutUjW/55EXUG3EF84ZJJD2nJamsBgvvJBqMDGfJ+K9VjU1krmzZsjRt2lT6PRUA0udJPTKcRRhl27ZtmJmZ0bZtW7VDEVl4qfbLvFT7ZRijdiQZ+3LgWhiodhQipzp27MjkyZN59OgRJUqUUDscIUxOap6EUXbs2MHLL7/Mc8+pM9RdCKEePz8/4uPj2bdvn9qhFG8ySaZqJHkSRjl06BCvvPKK2mEIIVRQo0YNypcvz+HDh9UOpViT0XbqkeRJ5FhkZCRRUVF4enqme2zbbyfxfnU8zeqNoFmDkTRsN1GFCIUQxnpv6jIav/IRzeqO4JUXR+HVaVK6MhqNBk9PT8LCwlSIUKhtwYIFVKlSBWtra7y9vZ+ZRG/cuBF3d3esra2pV68eO3bsSPO4oigEBATg7OyMjY0NPj4+XLhwIU2ZKlWqoNFo0mwzZszI8+eWXZI8iRxLvWE+nTw17DCROa/NxC7kIpanI7H86zqld/1N6+f60ej1KWqEKoTIgcYtx3H+s92U/P0ylmcjsTrxD6W3nqdl5cGMnbEmTdnU5EmWalGZiZvsNmzYwOjRo5kyZQrHjh2jQYMG+Pr6cvPmzQzLHzx4kB49etC/f3+OHz+Ov78//v7+aWapnzlzJnPnziUoKIhDhw5ha2uLr68v8fHxac71ySefcOPGDcM2fPhw455EHpDkSeTY0aNHKV++PK6uroZ9Xv6Tsd99CeJTJjZMXYAWQHP/IXZ7Lqe7+QohCo5GvhOwPXAJknVAyiSqhoWkr93hyIJf05T38vIiKiqKyMhI0wcrAHWa7WbPns3AgQPp168ftWvXJigoiBIlSrBs2bIMy3/11Ve0adOGDz/8kFq1avHpp5/y4osvMn/+/H+fg8KcOXOYNGkSnTp1on79+qxatYrIyEg2b96c5lylSpXCycnJsNna2uY4/rwiyZPIsbCwMDw9PdMsyWJ79h4k6zJcUUMDaOLi+XXHXyaLUQiRM6WO3gAyXhVHA5hfv4tXx/+a8FJrnqXpTkUm7jCemJhIWFgYPj4+hn1arRYfHx9CQ0MzPCY0NDRNeQBfX19D+fDwcKKiotKUsbe3x9vbO905Z8yYQdmyZXnhhRf44osvSE5+xgKe+UiSJ5FjqcnTkyyu3slyKTIFsPn7Tr7GJYQwTqPXp6C99/CZf8Mlrjww/FyxYkXKly8vyVMREBsbm2ZLSEjIsNzt27fR6XQ4Ojqm2e/o6JjpjPNRUVFZlk/9+qxzvv/++6xfv559+/bx7rvv8tlnnzF27NicPdE8JPM8iRzJtLP4v1X9mdEAmgT1PiUIITKnS9I/u5BGgzZB98SP0mlcfU92kDD2eNJ0wQCYMmUKU6dOzcV5897o0aMN39evXx9LS0veffddAgMDsbKyMnk8kjyJHMmsszg2Vihx8Zn+GSuAvpTp/4MLIZ7NwaEUSRoNmqw6fysKyfZp/4Y9PT1ZunQpiqKkacYXJpLbuZr+PfbatWvY2dkZdmeWjJQrVw4zMzOio6PT7I+OjsbJySnDY5ycnLIsn/o1OjoaZ2fnNGU8PDwyDd3b25vk5GSuXLnC888/n2m5/CLNdiJHjh49Srly5dJ9Uol3L5/lcRogrk65fIwsrSuXzjFqUR/emT6Y9+a8w8Z9i012bSGM9dGKngwIfJcBM95l/PKeJrvuzqVj0VUok/lC0pBS81TdPs1+T09P6TReBNjZ2aXZMkueLC0t8fT0JCQkxLBPr9cTEhJC48aNMzymcePGacoD7Nmzx1Dezc0NJyenNGViY2M5dOhQpucEOHHiBFqtFgcHh2w/z7wkNU8iRzLqLA5Q89WaXL14F2Li0tQ+pd6MkyuV5fDO6SaJ8f15fTm9viIW9ysa9v1tFcGWdsNYM22+SWIQIiemrunH75uc0f7thia1NkBTjte2j6f5G/eY2D0o32N48KIDpW/GoiQmp/sb1gCPvFz5/duANMc82Wm8QoUK+R6jeEoe1TzlxOjRo+nTpw9eXl40atSIOXPmEBcXR79+/QDo3bs3FSpUIDAwEIARI0bQvHlzZs2aRfv27Vm/fj1Hjx5l8eKUD7QajYaRI0cybdo0atSogZubG5MnT8bFxQV/f38gpdP5oUOHaNmyJaVKlSI0NJRRo0bx1ltvUaZMmVy8AMaTmieRI2FhYXh5eaXbv+yzwdh2r0tyNQcU7RP/rSzMSWhQkTFrhpgkvhEL+nD+6wqY3097VzBLULj9oz3dP3rfJHEIkV2Ltk3m128qoP1bY0ic4N+pAs5p2ft1OVbt+V++x3F086fc962O3vmpGqgSVjx8pSq/H5qV7hhXV1fpNK4mRZP7LYe6devGl19+SUBAAB4eHpw4cYJdu3YZOnxHRERw48YNQ/kmTZqwbt06Fi9eTIMGDfj+++/ZvHkzdevWNZQZO3Ysw4cPZ9CgQTRs2JCHDx+ya9curK2tgZRmxPXr19O8eXPq1KnD9OnTGTVqlCEBU4NGkRnOshQbG4u9vT0xMTFp2oSLo8jISCpUqMCmTZvo3LlzpuW6DvuKK5dvghZ6v9mM4b19TRZj61aTML+ppHkTepLeDFpNuMe47gtNFpMQWXlr0jBu/WifZbdfxzfvsXKK6f7PvvTmVHQPk9CbaVn7RS/c3d0zLdu2bVvMzMzYtm2byeIryEzxnpF6DdcFH6O1sTb6PPrH8Vx7b0qRf3/75JNPGDNmTLpFrB8/fswXX3xBQEBAJkdmTprtRLalzgjboEGDLMttnD/CFOGk8+GSnlhEu2VZRqODM+ekY6soOG4cLI15Fu0nigb++c20C3D/8d3UbJf18PBg3bp1+ReMyJSipGy5Ob44+Pjjjxk8eHC65OnRo0d8/PHHkjyJ/HX9+nUgZX6Xgigh3vLZhTQQdy8b5YQwEc3DrAebaxTQPMiigMoqVqzIjRs3ZMSdGlTo81QYZfZ/8+TJkzz3nHEfTCR5Etl248YNypYti6VlwUw+rK2Tnl1IAdvSifkfjBDZpNiCEpd5AqUASklTRpQzzs7OJCUlcefOHcqVM92IWiGepUyZMoZFhGvWrJkmgdLpdDx8+JDBgwcbdW5JnkS2RUZG4uLionYYmZo5YC2t1/7b5ymTMooZPF8r6wk9hTAlx8Yx3NmSeX8TDVDh5XumCyiHUu8JkZGRkjyZmpGdvtMcX4TNmTMHRVF45513+Pjjj7G3/2+qDUtLS6pUqZLldAhZkeRJZNuNGzfSTGJWENV5/R/Of10BRcn4k7y9T5xJhn0LkV3eDW0J/lWD+b30Ax0UDSSX1dDspYI7DUDqPeHGjRvUr19f5WiKF41CpoNjsnt8UdanTx8gZS6pJk2aYGFhkWfnluRJZFtkZGSWo24KgrnDV/Be8juc3+CC+YP/7gw6Sw1lX4tl/edzVYzu2a5cOkeVagX7NS5srlw6B1BgX9cRnWdwO7Y3f/zgivbSf0m/AuirwytvXGdA2+Vqhpil1BmiZaJMFUifp2xp3rw5er2ev//+m5s3b6LXp12OqFmzZjk+pyRPIttu3LhBy5Yt1Q7jmRaMWsYVv3PM3jGD+3dssbFNpGFdNwa0naZ2aBn6eM0ATvxhz4NDNpg9UtBbaLCon0TdFteY+U7BGMXU6PUp6HV6+nRpmuHUEz69Z3A/Jg4XF3uCF41RIcL03v1iIBf3OGIemfIOkeyiofqr0Xz94TcqR5bep31WQR8Yu6QnNyPt0WjAoUIMnxeQ339WrKysKFu2bJq5fYQoSP744w969uzJ1atXeXp2Jo1Gg06X864ckjyJbFEUpVA026WqUs2ducNXqB3GM01e2ZuDiytjfl+PGSl9tcySFHTHzDn+V1VGJ73F7HfXqBZf4+YfYXv8BvYPHwOwZecFvp+xnYrtnmftl+/RsMNESh2NRnszhjLAI42GltveJfaF8oQFq5esdn7vAx7vd8Bc819TmHmkwtUVDnS+8gE/Lkg/4WNBMHNAwU+WMuLs7Cw1T2qQPk/ZMnjwYLy8vNi+fTvOzs55MipUZhgX2XL37l0SExMLdIfxwujw9gqYx+jTrY2uUUCbpHByZRVDs5OpveIxkpK/XoZ/EycATbIOi3M3iFp6hEZtJ2K/6wLamzGG2DWKgtn1u5TZdRHPjpNVifv9+X15vN/633j+25/6/eP91rw/v48KkRVdLi4uUvOkBiUPtmLgwoULfPbZZ9SqVYvSpUtjb2+fZjOGJE8iW1I/VRaWmqfCYPLK3nBGm2mnTY0CFjEKX2773LSBAZ6dJmH1Z8q8Xk9/RtMAt2PisPvlKujTj2zUACTrKH3wn/wPNAPn9rpk+YFa0cC5fQW3A3ZhJDVPoiDz9vbm4sWLeXpOabYT2ZL6qVJqnvJOTGzmiVMqRQPRV437ZJQbJc/HZPm41as10Oy5kOnjGkBz7yGenSYRtsW0zXf6SC3mWUydrFFAd10+N+YlFxcX9u/fr3YYxY90GM/Un3/+afh++PDhfPDBB0RFRVGvXr10o+6MGSWa58nT48ePsbGxyevTCpWlfqpMHVkjck9rlo07lwJm5qa/w5nFPM7yccv7CShkPTM2gMVD08+ppWQjL8pOGZF9zs7OMsu4GiR5ypSHhwcajSZNB/F33nnH8H3qY6p3GE9ISGD+/Pl88cUXREVF5dVpRQFx48YNypQpY1jlWuTeizU8OG11B7OELGpJgEo1b5suqH8p5mZZPq43N3tm4gSgtzB9llKiTgKJoZaZ1uopmpQyIu84OzuTmJjI3bt3KVu2rNrhCEF4eHi+nj9HyVNCQgJTp05lz549WFpaMnbsWPz9/Vm+fDkTJ07EzMyMUaNG5VesQkW3b9+mfPnyaodRpPR+dRRbto/i4Z4SGSYiigZ0VVNmTjeFlr2mk3z2NpaX7hL/ojMlr9/NtGx8KYUSGg2aDJrH7rxWBduoJCzD72L361VaOQ0grq4DK+f3Nsk8YbW8r3PikBvo0teMKaTUOtXyvp7vcRQnDg4OANy6dUuSJ1OS0XaZqly5cr6eP0fJU0BAAF9//TU+Pj4cPHiQrl270q9fP/744w9mz55N165dMTPL+hOrKJwSExOxsrJSO4wi58NBbzD19lY4boaiSemPk/o12UlDq56mqXXy6jiJ0nsuYZaYDMDj05ewtbWGuPgME5Dn9lwlqZoDFhej0zx+r/3zPLf7EiSlnEcDaB8nYLc3hiG+c/hg7RA6NG2Qr89l5oB1vBf3DheWOUPyU7GbQ413bhTaKQEKqtT1LpOSsrG+pMgzMsN49gQHB2e4X6PRYG1tTfXq1XFzc8vROXOUPG3cuJFVq1bh5+fHqVOnqF+/PsnJyZw8eVLauYu45ORkzM1lfEFee6n2y+xa8zKjg97m7O8VSLpjhtZWoWrjaPq0eYeXar+c7zGcO3eO0vuuQGKyIREqfxtud3DluQP/oHnwOKVrxL9JHWZaHrSoyrBh7Vg6ch3mV1MSvFv2UD4kHJKS00678O9Xs2t3mDFiJR3CZuf7c1owYhkBz/Xh7PEy3LtgC0CZGnHUeuEen7y9Mt+vX9yk3huSk5OfUVII0/P390/X/wnS9ntq2rQpmzdvpkyZMtk6Z47eDf/55x88PT0BqFu3LlZWVowaNcqkidOCBQsM/aoaNGjAvHnzaNSoUablN27cyOTJk7ly5Qo1atTg888/p127diaLt6hITk7O03WBRFqzB68G4xb3zrU+w1di9yh9H6By2y5wC7B8rSY2l2PQ6BUSHUrg1qQKP3/5HgBvd3oFz06TsL30ABuHEmj2Zz0c2PpMFNt+O5nvtU9ASpL0dr5fRoDh3iDJk4lJh/Fs2bNnDxMnTmT69OmGfOHw4cNMnjyZSZMmYW9vz7vvvsuYMWNYunRpts6Zo+RJp9MZqmch5dNGyZIlc3KKXNmwYQOjR48mKCgIb29v5syZg6+vL+fPnze0uT/p4MGD9OjRg8DAQDp06MC6devw9/fn2LFj1K1b12RxFwVS81R0WV+PMzQVPq08wO6/Abjb3p2wrZ+mK5M6FUHzmsMyPQ/8WwOVkMTUL743SfIkTEdqnkRBNmLECBYvXkyTJk0M+1q3bo21tTWDBg3i9OnTzJkzJ81ovGfJ0buhoij07dvX0PclPj6ewYMHY2trm6bcpk2bcnLabJs9ezYDBw6kX79+AAQFBbF9+3aWLVvGuHHj0pX/6quvaNOmDR9++CEAn376KXv27GH+/PkEBQXlS4xFVVJSkiRPRZWiZOsTqOYZhbJf/1xMPu4WI6n3BunzZFoactnnKc8iKdguXbqEnZ1duv12dnZcvnwZgBo1anD7dvb7mOZoHHHv3r1xcHAwTGn+1ltv4eLikidTnT9LYmIiYWFh+Pj4GPZptVp8fHwIDQ3N8JjQ0NA05QF8fX0zLQ8pIwpjY2PTbEJqnoqy+AqlnnkTVSzM6dP1lSzLJFQoabiR39Kk9IFKcw5AsbJg6oddjY5VFEypzXaSPImCyNPTkw8//JBbt24Z9t26dYuxY8fSsGFDIGUJF1dX12yfM0fvhitWrMhJ8Tx1+/ZtdDodjo6OafY7Ojpy7lzGa39FRUVlWD6reagCAwP5+OOPcx9wESMDAoquyVO7MSf0C3ickPGUCUDi8w4M7+2b5XmGjmzPAs0ObE9GUe7eQzQxoC9lw6N6Tjw+GE45IMHdUZrsiqDUjrharcw+alIyVUG2LF26lE6dOlGxYkVDgnTt2jWqVq3Kli1bAHj48CGTJk3K9jlzlDxVqlQJPz8/OnXqRMuWLYtkTcT48eMZPXq04efY2NgcZaNFlbm5ufRnKKI6NG3A1FZVKL37EsoTUwykziCudyxNzM1IPDtOzrDPU6rFU36g1J/X08w8rnnwmJIHw7GqXI7oB3EEzuubv09GqCL13lAU3xMKNOkwni3PP/88Z86cYffu3fz999+Gfa+++qoh4ff398/ROXP0P3316tUEBwczdOhQbt26ha+vL35+frRv357SpUvn6MI5Va5cOczMzIiOjk6zPzo6OtMlQ5ycnHJUHsDKykrmM8qAubm5VMkXYUe3TsOj/Tjs/onH8vIdlGQdSklrHtYpT/yvlymvgPJLRKbHN+wwkdIZLCSc+r3F1duUbF5Nap2KqNR7gyRPoqDSarW0adOGNm3a5Mn5cvQ/vXnz5jRv3pxZs2Zx+vRpgoODmTdvHv3796dJkyb4+fnh5+dH1apV8yS4J1laWuLp6UlISIghQ9Tr9YSEhDBs2LAMj2ncuDEhISGMHDnSsG/Pnj00btw4z+Mr6iwsLKTmqQjz6jSZcjsvpU18EpIo9csDSqX+/OARDdtPRDHXcnRLSg3UuXPn6DN8JSUiHpBY3ZFEZ1seR/xD+auJac6vACVO3TTJcxGml3pvkOlMTExqnjI1d+5cBg0ahLW1NXPnzs2y7Pvvv5/j8xv9MaFOnTrUqVOH8ePHExUVxdatWwkODmbixIm4ubnx+eef0759e2NPn6HRo0fTp08fvLy8aNSoEXPmzCEuLs4w+q53795UqFCBwMBAIGV4Ymqy1759e9avX8/Ro0dZvHhxnsZVHEizXdFmEZuUrZE3lncTeFTekmZ1R2BxPQYUBWvHUjyoWZrndpzH8iLYWppzv21NSu/823CcBiDmUX6FL1QmzXbqkBnGM/e///2PXr16YW1tzf/+979My2k0GtMlT61ataJ58+ZMmTIFSGkeGzhwIF26dKFNmzaMHz8+zXxQeaVbt27cunWLgIAAoqKi8PDwYNeuXYZO4REREWk6LDZp0oR169YxadIkJkyYQI0aNdi8ebPM8WQEabYr2vRm2evom1zSgrI7LoI+5a6rASxiH/HchWjiXnaj5O/hkJiM/e6L3G5fg3LbL/x3sLZ4dE4tjqTZThQ0Ty4MnB+LBBv1P33//v389ddfHD9+nLVr1xrmeUpKSiIsLIzOnTvnaZBPGjZsWKbNdPv370+3r2vXrnTtKkOjc8vKyor4+Hi1wxD5xLHGczzar0Wj12da5nb7mpTdeQH0Srp+TQpg+3u4ocZJ0emxO//fNB8KkOySvWUPROGTkJAyQ31+fGgWWZBmuxxJTEwkPDycatWq5TrRN3pc6c8//0xUVBQvvfQSV65cyVUQouBzcHDg5k3ps1JUBS8aQ1JNx0zvpQpgd/lBusQpVeq+kqfuGH62iLhrOBaNhgd1yuZpzKLgSB2Y8/TUMCKfKXmwFQOPHj2if//+lChRgjp16hARkTL4Zfjw4cyYMcOocxqdPDk7O3PgwAHq1atHw4YNM6z1EUWHs7MzsbGxxMXFqR2KyCcDAruic01JcJ6+t+od7DG/HpNlvygNYBYd898OnS7leK2Why2rZTnNgSjcIiMjsbGxyXAWZyHUNn78eE6ePMn+/fuxtrY27Pfx8WHDhg1GndOo5Cl1wkQrKyvWrVvHiBEjaNOmDQsXLjQqCFHwubi4AHDjxg2VIxH55e1Or7DvahD329QkuaoDesfSJFcpT4xvTe7eTOkc/kzKf18UW2sSPCryuEst/vg5MF9jF+q6ceMGLi4uMpmuiaV2GM/NVhxs3ryZ+fPn07Rp0zT/R+vUqcOlS5eMOqdRjX7KUzfRSZMmUatWLfr06WNUEKLgc3Z2BlI+YVavXl3laER+OrJjOgCtS/fBPPo+9ldSljRIKl8KzYPHmdY+KYD+OVvMolNqqB7VduDgwS9MErNQV2RkpOEeIUxIZhjPllu3buHg4JBuf1xcnNEJv1E1T+Hh4ZQvXz7Nvi5dunDo0CGWLVtmVCCiYJOap+IntmlFMNMamu4e1krp8J3Zh1UN8LC+AwqgK2dHj8E+mZQURU1qzZMwMenzlC1eXl5s377d8HNqwrRkyRKj5300quapcuXKGe5PnftJFD12dnbY2NhI8lSMHNk2Ha+Ok7ALi0YbdZ8y28/zyLsyNoeuplmCJfX7hLou2O0PJ7GOC6++2/yZa+GJouPGjRvUq1dP7TCEyNBnn31G27ZtOXPmDMnJyXz11VecOXOGgwcPcuDAAaPOKZNyiGzRaDS4uLgQGRmpdijChI5unQZAy17TeRDzGL2STGLbmpQ6eQvtzZSpCPTPlSSuvgPJ1lq6jmknSVMxFBkZKTVPKpBJMrOnadOmnDx5ksDAQOrVq8fu3bt58cUXCQ0NNTrpl+RJZJuzs7PUPBVT+9ZOVDsEUUA9evSImJgY6fOkBpnnKVt69+5Ny5YtGTduHNWqVcuTcxo9VYEofqTmSQjxtNQPVFLzJAoqS0tLAgMDqVmzJq6urrz11lssWbKECxcuPPvgTEjyJLJNap6EEE9LvSdIzZMKcjtNQTGpeVqyZAl///03ERERzJw5k5IlSzJr1izc3d2pWLGiUeeUZjuRbS4uLpI8CSHSkJonFUmzXY6UKVOGsmXLUqZMGUqXLo25uXm6mQOyS5InkW3Ozs7cv3+fx48fY2Njo3Y4xcLooLe5cNSZpDgzbJ5LpOaLN/i8/zq1wypQrlw6xxdbZxJ+rDz6JC2lK8XhXv8hU3vJtCmmEBkZibW1Nfb29mqHIkSGJkyYwP79+zl+/Di1atWiefPmjBs3jmbNmlGmjHFrbkryJLIttXrz6tWruLu7qxxN0bZqz/9YvegWZucrGeaxe4Q1J/a74R/2AXM+GEiVavI7GL+8J4dXVMXitrPhdbr3ZykO7ixF/6uDWTohSN0Ai4GIiAgqVqwos4urQWqesmXGjBmUL1+eKVOm8Prrr1OzZs1cn1P6PIlsq1+/PgDHjx9XOZKib92yaLTnU96M0vRTAOIPWDN+yQJ1AywA/jjzO4eXVcP8Tso7wJOvkUYH/6wry4gFsupBfjt27BgNGjRQO4xiSZZnyZ7jx48zceJEDh8+zMsvv0yFChXo2bMnixcv5u+//zbqnJI8iWwrW7YsVapUISwsTO1QirRxS3ug/GWW5TIot/bYsy9sqynDKnBW7FiOxV19hm8Aqa/d6V3GdQYV2aPX6zl27Bienp5qhyJEpho0aMD777/Ppk2buHXrFjt27MDS0pL33nuPWrVqGXVOSZ5Ejnh6ekrylM+uXS6XZXW6BjB/rBB8+HuTxVQQXQkrn+XSXBoFzC7DjtDVpguqmLl06RKxsbGSPBUzCxYsoEqVKlhbW+Pt7c3hw4ezLL9x40bc3d2xtramXr167NixI83jiqIQEBCAs7MzNjY2+Pj4ZDqNQEJCAh4eHmg0Gk6cOJGteBVF4dixY8yePRs/Pz9atmzJmjVrqFevHu+//362zvE0SZ5EjqQmT3q9Xu1QiqykeLPslUss3n+++sRn97HRAGevSzNzfjl69CiAJE9qUWFtuw0bNjB69GimTJliaLL19fXl5s2bGZY/ePAgPXr0oH///hw/fhx/f3/8/f05deqUoczMmTOZO3cuQUFBHDp0CFtbW3x9fYmPj093vrFjx+Z4ZOdzzz2Ht7c369ato0aNGqxcuZLbt29z7Ngx/ve//+XsBfhX8b77ihzz8vLiwYMHXLx4Ue1QiqxyFR5k2mSXSgFs7RNMEU6BZesSn+XNXwGSS2jo8sIgk8VU3ISFhVGlShXKli2rdijFkhp9nmbPns3AgQPp168ftWvXJigoiBIlSrBsWcajW7/66ivatGnDhx9+SK1atfj000958cUXmT9/PpBSKzRnzhwmTZpEp06dqF+/PqtWrSIyMpLNmzenOdfOnTvZvXs3X375ZY5iXrNmDXfu3OHo0aPMmjWLjh07Urp06Zw/+SdI8iRy5MUXXwSQprt81LvNOyTbajLNCxQN6KrB532L95QFz78QDZqsPzzbNY6TUYn5KCwsTGqdioDY2Ng0W0JCxh/MEhMTCQsLw8fHx7BPq9Xi4+NDaGhohseEhoamKQ/g6+trKB8eHk5UVFSaMvb29nh7e6c5Z3R0NAMHDmT16tWUKFEiR8+vffv22NnZ5eiYZ5HkSeSIdBrPfy/Vfpnavf9BMSNdnx5FAzprDZ6dwtUJrgCZ8c5aynWKRUMGrxOQ7Kjh1ddKqhFasSCdxQuIPGiyc3V1xd7e3rAFBgZmeKnbt2+j0+lwdHRMs9/R0ZGoqKgMj4mKisqyfOrXrMooikLfvn0ZPHgwXl5eWb0aJiPzPIkck07j+W/usBWMtniLv3ZWRnsxpXpdbwZm9XV4+EQU+1qnVGunz2PwcwO4sNMJixsp7wY6aw223o9p+aoFQzrMUDnCoks6ixcAeTTP07Vr19LUzFhZWeUqrLw2b948Hjx4wPjx49UOxUCSJ5Fjnp6ezJgxA71ej1YrlZf5Zfa7a+Bd+OrHcUTdj6BWxYb0fnWU2mEVOEEfLIEPYPr6wTyKf4BPve609OyodlhFXuoHKEmeCj87O7tsNWuVK1cOMzMzoqOj0+yPjo7Gyckpw2OcnJyyLJ/6NTo6Os36iNHR0Xh4eACwd+9eQkND0yV1Xl5e9OrVi5UrVz4z9rwmyZPIMU9PT2JjY7l48WKezNQqsjais9SeZMfE7jKbuCkdPXqUypUrS2dxFeV2osucHmtpaYmnpychISH4+/sDKc23ISEhDBs2LMNjGjduTEhICCNHjjTs27NnD40bNwbAzc0NJycnQkJCDMlSbGwshw4dYsiQIQDMnTuXadOmGY6PjIzE19eXDRs24O3tnbMnkUckeRI5lvpJMywsTJInIYqpsLCwAtP/pNhSYXmW0aNH06dPH7y8vGjUqBFz5swhLi6Ofv36AdC7d28qVKhg6Dc1YsQImjdvzqxZs2jfvj3r16/n6NGjLF68GACNRsPIkSOZNm0aNWrUwM3NjcmTJ+Pi4mJI0CpVqpQmhpIlU/oyVqtWzbBsmKlJ8iRy7MlO4z169FA7HCGEiaV2Fh83bpzaoQgT69atG7du3SIgIICoqCg8PDzYtWuXocN3REREmu4cTZo0Yd26dUyaNIkJEyZQo0YNNm/eTN26dQ1lxo4dS1xcHIMGDeL+/fs0bdqUXbt2YW1tbfLnl10aRVGKyeo2xomNjcXe3p6YmJg8H+pYmPXs2ZPz589Lx3EhiqHUUXZ79+6lZcuWaodToJjiPSP1GjXHfIaZlfEJhi4hnr+/nCDvb0aQ3r7CKB06dODYsWP8888/aocihDCx4OBg7O3tadq0qdqhFG8qzDAuUkiznTBK27ZtMTMzY9u2bQwePFjtcEQ2TVzRi4QkKG//HB+9OU/tcBi3rBd6PVQo6yod4wuR4OBg2rVrh4WFhdqhCKEKSZ6EUcqUKUOzZs3YunWrJE+FwPB5/TgTXAGLyCoAKFrYt2k8Hq9eYUb/b00ez7tfDODidicsbqXEc8IcfvrxI7xejeKTt00/7Fhk3z///MPx48cZO3as2qEIFTqMixTSbCeM5ufnR0hICA8fPlQ7FJGFQZ8P4u+vXTC/8d+dUqMH5ZSWo4uqMW6ZaTv9vx0wjKsrHDG/9V882mTQHTPn90WuBKzuY9J4RM5s3boVc3Nz2rRpo3YoxZ4aa9uJFJI8CaN17NiRhIQE9uzZo3YoIhOLtk0mfL0DZHCj1ChgFq9wbLubyeKZuLI3N3+0R4F0ix9rFDCPVTi21zGjQ0UBERwcTPPmzXO9sKrIA9LnSTXSbCeMVq1aNWrXrk1wcDCdO3dWOxyRgcPHb2OW+Fymj2sU4LyGgNV9Mm0u++PM76z+aSl3okpiYa2jUrUYpvdeA8CVS+f4ancgN67YY2auUKHaHWa+k/nSMRf+KgP69InTk/EkHrdg477FdG05KLtPU5jIgwcP2Lt3LzNnzlQ7FCFUJcmTyBU/Pz+WLFmCTqfDzMxM7XDEU+7dKIGiybp6XqPAwzh9ho+9P78vZ1ZXxPyhs6G26KamNO1CPqL2K/9wfJUbFncqGj7A3saOV4Mn0qL7nQxn/H5wwyblJFnEo02CsMv7JHkqgHbv3k1iYiIdO8ryNwWC9HlSjTTbiVzx8/Pj9u3b/PHHH2qHIjJgYa3L1g1Sa5Y+eRod9Dbnvq6A2cOUE6TWFmkUqNP0KicXumF+97/HUjftRdi7pBx/nPk93TnNrTNO0p5mY2WbrXLCtIKDg6lbty5Vq1ZVOxSB9HlSkyRPIlcaNWqEg4MDwcHBaociMuBW+2aWjytAUhktw1pNTvfYn9srpdxgMzju3KFKaBOVDG++GgUsbiis2Lk83WPVvaKzvGErGkiqqGHKW0uyjFuYnk6nY/v27fj5+akdihCqk2Y7kStmZmZ06NCBrVu38vnnn6sdjtHGLOnFhaPOJD40p0S5BGo2iCawX+Z9dwqLmQPW8dpP4+GMNl0SlNoM59b+JlWquad57OM1AzC77Jhp36T445aYZbE4gaKBywcd4IO0+/83ZCWtt0zC/J/0iZfy7z+120c++4kVAlcunWP2zhlcPuaALklLGdc46tRPKrQLGIeGhnLnzh1JngoSabZTjdQ8iVzz8/Pj7NmzXLhwQe1QcmzVnv/x2hsTOPW/KsT/ZoX+hBkP95Tg2Cw3uowcpXZ4eeLNd0qhuKfcJRXNvxuAFsr6x7Jk/NfpjolLfJRp4gSgTcj6rqtRQPcw49tLq7630f27zqeiSZlzSgEUc6jY6w7z3l/27CdVwE1c9Rb9B67h70UVSDpsgf64GXe22HEgsCwDZryrdnhGCQ4OxtHRkYYNG6odiviXNNupR5InkWs+Pj5YW1uzceNGtUPJsXXLotGcTUkTDDeUf7+P21OCtwOGqRtgHhjQdgK7f/iMuiOuUqJ5POYNkyjT4QGNP4pk7fSMZxl3tHNCyeLuoCuhyfJDq6IBi+d0GT42sXsQP++YTu3hEVg3TcDcK4nynWNoPTGWpRMKZ63Mk65cOscfy6tgfvPf/mBP/r9KhmtryjFiQeGay0qv1/P999/TsWPHNIu+ClFcSbOdyDVbW1u6d+/O4sWL+eijjwrNqLtxS3ug/Fk10xoWBbixqzR/dP+dl2q/bMrQ8sWXg9Zku+wHb8xm93fjUc5oM/x0avdSHHEhJTI9XqPA802zbn6bPXh1tuMpTL7YOhOLm84ZPpY60PD0zorwnknDypXdu3cTHh7OO++8o3Yo4knSbKca+Qgh8sTQoUO5evUqO3fuVDuUbLt6sVyWj2sA8ziF734p/LUhxmjQ5ip6Sw3KU9mlAri6RZJsn/6x1Mf1tRRGtRlvijALnMtHHDJ8XVJpFDALT2kyLiwWLlyIh4cHL730ktqhiCfJJJmqkeRJ5ImGDRvi5eXFwoUL1Q4l25LizTOfrfHJcknFs4J25jvreGFoOMmuae+xehsNN2860GhQOMrzSppEQW8B1s0SGD++cbpO6MWFLuHZt1UNEB59Ov+DyQNXrlxh27ZtDB06FI0mG38wQhQDxfNdQeSLoUOH0r9/fy5dukS1atXUDueZyro84KGSedMTpCQNtraJpgmoAJo5YC0MgLFLevIw1gZzy2TaePrQrvHbKQX6wsQVvbh3zxozM4Xqrg6M6PylqjGrraTLY+LOZv3/SmetoU/jMSaKKHcWL15MqVKl6Nmzp9qhiKekzq2Wm+OFcSR5EnmmW7dufPDBB3z99deFYvmG7q06Mf27Q5g9UjK8iSga0FWFGe+sNXlsBc3MAZlP2zC9r7w+T6rpcZPje6tk2iSiaMDW+3GhqJlLSEhgyZIl9O3bF1tbmbi0wJE+T6qRZjuRZ0qUKEG/fv1YunQpjx8/VjucZ2rp2ZHn34oELen79WhAb63hRb9wdYIThdaMd9byXMdYIP17k6KB5LIaGrcoHLWZP/zwA7du3WLIkCFqhyIyIFMVqEeSJ5GnBg8ezN27dwvNtAULRiyj9tBr6Kr890an14Kmnh7PoZeyrHERIjPfBs6jct+bJDv+l5XrLDVYNk7ktfdi+OjNjKeIKGgWLlxIq1atcHcv+LVkQpiSRlGymCZYEBsbi729PTExMdjZ2akdTqHg6+tLTExMoVvv7uM1A3iU8IgqjtUY0uFTtcMRRcTElb3R6ZLwdGtZqBY7PnnyJB4eHnz//fd06dJF7XAKDVO8Z6Reo867n2FmZW30eXQJ8Zz+eoK8vxlB+jyJPDd06FD8/f0JCwvD09NT7XCyTdZTE/lhep9VaodglEWLFuHi4iLLsRR0Uv2hCmm2E3muffv2uLq6smjRIrVDEUIYISYmhjVr1jBo0CAsLCzUDkeIAkeSJ5HnzM3Neffdd1m3bh337t1TOxwhRA6tXr2a+Ph4Bg4cqHYoIgvSYVw9kjyJfDFgwAB0Oh0LFixQOxQhRA4kJSUxZ84cOnfujIuLi9rhiKzIDOOqkeRJ5AtHR0eGDBnCF198wZ07d9QORwiRTUuWLOHy5csEBASoHYoQBZYkTyLfTJgwAb1eT2BgoNqhCCGyIS4ujk8++YS33nqLevXqqR2OeAZptlOPJE8i3zg4ODBmzBjmz59PRESE2uEIIZ5hzpw53Llzh08++UTtUER2SLOdaiR5Evlq9OjR2NnZ8fHHH2f7mHPnzuHVaTJeHSfRtn/BX+ZFiILGyz/l76dlr+nZPubOnTvMnDmTIUOGUKVKlfwLTogiQOZ5EvmqVKlSTJo0iVGjRvHBBx9Qu3btLMu/1HIcJY9ep0xcPABJGg0t9g4h3tORP76faoKIhSi8vF8dT8kjkZSJfQSkLAfT8sAgHng6cnRL1hO/BgYGotfrmThxoilCFXkgt01v0mxnvEJT83T37l169eqFnZ0dpUuXpn///jx8+DDLY1q0aIFGo0mzDR482EQRi1TvvvsulSpVeuZNuan3B5Q6cAn+TZwANIqC+dXblNxxgZfenJrPkQpReDVu/hGlQi6i+TdxgpQ3R7PIe5TedRGvTpMyPTYiIoL58+czZswYHBwcTBGuyAvSbKeaQpM89erVi9OnT7Nnzx62bdvGL7/8wqBBz17qYODAgdy4ccOwzZwpzUCmZmVlxSeffMLmzZszXbLlpTemYn30GgBPrdGb8nN8ItbHbuVrnEIUVr3GLMD24BUgk7+fpGTsjkRnevzHH3+MnZ0do0ePzq8QRX6Q5Ek1hSJ5Onv2LLt27WLJkiV4e3vTtGlT5s2bx/r164mMjMzy2BIlSuDk5GTYZP0edfTs2ZN69eoxbtw4MlpO0eJSDGSxzKIGML9ym7Ez1uRjlEIUTpf/uIpGp0+XOKXSANqo+xnW3p45c4YVK1YwadIkSpUqlZ9hClFkFIrkKTQ0lNKlS+Pl5WXY5+Pjg1ar5dChQ1keu3btWsqVK0fdunUZP348jx49yrJ8QkICsbGxaTaRe2ZmZnz22WccOHCAXbt2pX/8fnz6j8xP0ej17P3jXD5FKEThZXkvHuVZfz+A7mFSuv0TJ06kUqVKvPvuu/kTnMg3MlWBegpFh/GoqKh07fDm5uY899xzREVFZXpcz549qVy5Mi4uLvz555989NFHnD9/nk2bNmV6TGBgYI5Ghonsa9++PU2bNmX8+PH4+vqi1f6XuyuWZs+sQlaA0nYl8zdIIQohfTb+fgAUs7QZ1h9//MHmzZtZtWoVVlZW+RSdyDe5bXqT5MloqtY8jRs3Ll2H7qe3c+eMr2kYNGgQvr6+1KtXj169erFq1Sp+/PFHLl26lOkx48ePJyYmxrBdu3bN6OuLtDQaDTNmzODkyZOsWZO2+e1RdfssK54UQF+2FD+vGpevMQpRGD2ulPWHCgVQSlqz5ou3DPv0ej0ffvgh9erVo2fPnvkcoRBFi6o1Tx988AF9+/bNskzVqlVxcnLi5s2bafYnJydz9+5dnJycsn09b29vAC5evEi1atUyLGNlZSWfwPLRyy+/TPfu3Rk1ahSvvfaa4fd3ZPt0Wjn0R3s7Nl0Slfrh6KFn9n/XQhQnR7d8SsvKgzG7difDvx8N8NCzAu7u7ob9QUFB/Pbbb/z888+YmZmZMlyRRzSKgiaLvqLZOV4YR9XkqXz58pQvX/6Z5Ro3bsz9+/cJCwvD09MTgL1796LX6w0JUXacOHECAGdnZ6PiFXlj3rx51K5dmyFDhrBp0yY0mpTbfckutXi4+Rxm0TEpCZNGk/LHbaYlrqkbh3d9pmrcQhRkDYc05cii3zC79u9akhpNyiAMrYa4RpUJ3TfDUDY8PJyxY8cyePBgWrdurVLEItek2U41GiWjoU8FUNu2bYmOjiYoKIikpCT69euHl5cX69atA+D69eu0bt2aVatW0ahRIy5dusS6deto164dZcuW5c8//2TUqFFUrFiRAwcOZPu6sbGx2NvbExMTIyP18tAPP/zAG2+8wdq1a9M1GXh1nESJqw/QJOpJKmuDW+PKrP3yPZUiFaJw8fSbhG3EQzTxOpJLW1HC3YE9K8YaHtfr9bRu3Zrw8HD++usvGWGXx0zxnpF6DY+3pmNmaW30eXSJ8ZxYM1He34xQKDqMQ8qouWHDhtG6dWu0Wi1dunRh7ty5hseTkpI4f/68YTSdpaUlP//8M3PmzCEuLg5XV1e6dOnCpEmZTxQnTKdLly5069aN4cOH06pVqzTNr0e3TlMxMiEKt7DgrP9+goKC2L9/Pz///LMkToWczDCunkJT86QWqXnKP7dv36ZOnTo0adIkTfOdECJ/hIeHU69ePd5++20WLVqkdjhFkilrnl7omfuap+PrpObJGIVinidRNJUrV45FixaxefNmvv32W7XDEaJI0+v1vPPOO5QrV05WWhAilyR5Eqp6/fXXDc13Wc3ZJYTIndTmuqVLl0pzXRGh1iSZCxYsoEqVKlhbW+Pt7c3hw4ezLL9x40bc3d2xtramXr167NixI83jiqIQEBCAs7MzNjY2+Pj4cOHChTRl/Pz8qFSpEtbW1jg7O/P2228/c4WR/CTJk1Dd/PnzMTc3Z8iQIRku3VLcLdn5GWO/6cXYZT25cklmWM/IrO9HM2ZJL8Yt66F2KAWSjK4rolRY227Dhg2MHj2aKVOmcOzYMRo0aICvr2+66YRSHTx4kB49etC/f3+OHz+Ov78//v7+nDp1ylBm5syZzJ07l6CgIA4dOoStrS2+vr7Ex/+3SHzLli357rvvOH/+PD/88AOXLl3ijTfeyPkTyCPS5+kZpM+TaWzatIkuXbpkOPquuJr1/Wj2/2RGwhErtEkpf6ZJ9hoqvHaPVVMXqBxdwRCwug9HdjujO2mGVpeyL6mshmrtb7L4o8XqBldAyOg60zJlnyfPbrnv8xS2IWd9nry9vWnYsCHz588HUv5/ubq6Mnz4cMaNSz+Jcbdu3YiLi2Pbtm2GfS+99BIeHh4EBQWhKAouLi588MEHjBkzBoCYmBgcHR1ZsWIF3bt3zzCO4OBg/P39SUhIwMLCIqdPPdek5kkUCK+//jrdu3eX5rt/Ldo2mR0LS5AYamlInADMYxRubiyN/9APVIyuYAhY3YffF7miP/5f4gRgfkchYlV5ek4Yrl5wBUhqc92yZcskcRIZeno914SEhAzLJSYmEhYWho+Pj2GfVqvFx8eH0NDQDI8JDQ1NUx7A19fXUD48PJyoqKg0Zezt7fH29s70nHfv3mXt2rU0adJElcQJJHkSBci8efMwNzenb9++6HS6Zx9QhO3d+wDzaCVdn4TU8YjxB6wZs/itdMcVJ8f2OWIem/FrpAB3gu2YuKKXGqEVGH/99Zehua5Vq1ZqhyPyWh4127m6umJvb2/YAgMDM7zc7du30el0ODo6ptnv6OiY6YfeqKioLMunfs3OOT/66CNsbW0pW7YsERERbNmyJePXxQQkeRIFRrly5Vi7di0///xzhtW/xcm9g89Yq0wD50JdTBRNwbMjdDWJxywy7fCqAVDg75MOGRcoBm7fvk2nTp2oXr06X375pdrhiHySF53Fr127lmZN1/Hjx6v3hLLw4Ycfcvz4cXbv3o2ZmRm9e/dWrZ9soZkkUxQPPj4+zJo1i5EjR1KvXj169+6tdkgmd+XSOcweKFkulIwC8TfVqa4uCH49txNtklvWhTTwIKp4rlOZlJRE165defjwIfv27cPW1lbtkEQBZmdnl60+T+XKlcPMzIzo6Og0+6OjozNdZ9bJySnL8qlfo6Oj0yydFh0djYeHR7rrlytXjpo1a1KrVi1cXV35448/aNy48TNjz2tS8yQKnPfff5933nmHgQMH8scff6gdjslVqeaO8qyPNRrQWhffsR72NqWzNVDI3Eaf77EURCNHjuS3337jhx9+oHLlymqHI/KLouR+ywFLS0s8PT0JCQkx7NPr9YSEhGSawDRu3DhNeYA9e/YYyru5ueHk5JSmTGxsLIcOHcoyKdLrU/62M+ufld8keRIFjkajYeHChXh5edG5c2euX7+udkgmp3HXo2RR9aRRoHLD26YLqIAZ130hyZU0z3yNqntFZ16giPr6669ZuHAhCxcu5JVXXlE7HJGP1JjnafTo0XzzzTesXLmSs2fPMmTIEOLi4ujXrx8AvXv3TtPsN2LECHbt2sWsWbM4d+4cU6dO5ejRowwbNizlOWg0jBw5kmnTphEcHMxff/1F7969cXFxwd/fH4BDhw4xf/58Tpw4wdWrV9m7dy89evSgWrVqqtQ6gTTbiQLKysqKTZs2GRKoAwcOYGNjo3ZYJlPPJ4I/z1YBffobnKKB5DJaOjfPnzfGjfsWsyv0GJFnSoMC5Ws8oLHXcwzp8Okzjx27tAd/h7kQf88Si5LJPN/wBl8OWpMvcdZp/w/ngyqgQLomTkUDyRU1jPQtmH038ssvv/zCsGHDGDZsGAMHDlQ7HFEEdevWjVu3bhEQEEBUVBQeHh7s2rXL0OE7IiICrfa/epkmTZqwbt06Jk2axIQJE6hRowabN2+mbt26hjJjx44lLi6OQYMGcf/+fZo2bcquXbuwtk6ZhqFEiRJs2rSJKVOmEBcXh7OzM23atGHSpElYWanTNC/zPD2DzPOkrmPHjtG0aVNef/11Vq9eXazWvxs+rx/nllfALEEx1LBoFEhy1NCodziBfdfm+TXHLH6LE0uqYB6X9po6Kw11+l9jznsrMzzuyqVzvD9jKQkHLdNkMhoFlDp6Bgxxo2vLQXke76DPB3Hl2/JokjBcV6NAchVo+fYdJnYPyvNrFlRXrlyhYcOG1KtXj59++km1IdzFnSnnefLqMg1zC+PneUpOiufoD5Pk/c0IUvMkCrQXX3yR5cuX0717d+rXr8/YsWPVDslk5g1fzir3/7Hv0Hluh9uhtdDjVu8WI9uMp0o19zy/3tQ1/Tj5dRXMElI+Tz1Z46VNUDizuCIfWffk8/7r0h374YIgEg/aGka5pXFay/IVl+jaMs9DZvFHi5lVbTQn/krg3j+2mFvpqFr/JrMHr877ixVgDx8+pFOnTpQqVYqNGzdK4lRMaPQpW26OF8aR5EkUeN26deOvv/5i3Lhx1KlTh/bt26sdksn0fnUUvV81zbXOHLdHG5/xKD8NgA7O/FEB+qd9bNWe/3F/f0nMMunCrQF0YeZMXNmb6X1W5XHU8MEbs0G9VRpUp9fr6d27N5cvXyY0NJSyZcuqHZIQRZ50GBeFwieffIKfnx89evTg7NmzaodTJN05nvXcUhoFHv+Zvn/BkbN/GWqrsjr2n/Cszy+M88knn7B582bWrl2bph+JKAZUWNtOpJDkSRQKWq2W1atXU6lSJTp06KDqatpFVlL6jtdP0yRncFjis28jCpCUaGZUWCJzq1ev5uOPP+bTTz/Fz89P7XCEiakx2k6kkORJFBqlSpVi27ZtJCYm0rp160xX8RbGMXPMenoERQP6cun325WJe+YHWA1QzvlBbsITT/nuu+/o27cv/fv3Z8KECWqHI9Rg4nmexH8keRKFSpUqVdi7dy/379/Hx8eHO3fuqB1SkeHe4nqWn0Q1Cri1vJVu/8z+32Y555KigSR7DaPbFe8ld/LSli1b6NmzJz169ODrr78uVqNQhSgIJHkShU6NGjUICQnhxo0b+Pr6cv/+fbVDKhLmDluJxUtJQNquEKldI/S19EzqOirDYz27XEZvlT6BUjSgmEH9t6/lywjB4mjnzp107dqVzp07s2LFCszMpDm0uJJmO/VI8iQKpdq1a/Pzzz9z+fJl2rZty4MH0iSUF+ZNeAeHrvdJLvPfrUFXSkOZDg/45JMOmSZAMwes48X3LqOpr0P/73u5ogHleYX6w6/wvyEZzw8lcmbv3r28/vrrtGnThnXr1mFuLgOmizXpMK4amSTzGWSSzILt6NGjtG7dmrp167Jjxw7s7e3VDqlIuHLpHMsOBqLTKwxsOiFHtUar9vyPs/8coVL5atmalVxkz88//4yfnx+vvPIKW7ZsMcy+LAoWU06S6d3h01xPknlo22R5fzOCfGwRhZqXlxd79uzB19cXHx8ffvrpJ5577jm1wyr0qlRz55NqxtUW9X4146Y9Ybzt27fTpUsXWrduzffffy+JkwBy3/QmzXbGk2Y7Ueg1atSIffv2ER4eTqtWrbh1K32nZiEKqx9//JHOnTvTtm1bNm3aVKzWeBTPIKPtVCPJkygSPDw8OHDgAFFRUbRo0YIbN26oHZIQubZ+/Xq6du3K66+/znfffafaIqhCiLQkeRJFRp06dfjll1+IiYmhefPmXLp0Se2QhDDaN998Q69evejVqxdr166V9epEOjLaTj2SPIkipWbNmvzyyy9ASnNeSEiIyhEJkTPJycm8//77DBo0iCFDhrB8+XKZjkBkTEbbqUaSJ1HkVK1alUOHDuHp6Ymvry/z589HBpWKwuDu3bu0adOGRYsWsXDhQubPn49WK7dpIQoa+asURVKZMmXYsWMH77//PsOHD2fQoEEkJiaqHZYQmTp9+jSNGjXixIkT7N69myFDhqgdkijgpNlOPZI8iSLL3Nyc2bNns2zZMlatWiXr4YkCa+vWrTRu3BgbGxuOHDlCy5Yt1Q5JFAZ6JfebMIokT6LI69evH/v27ePChQs0bNiQEydOqB2SEAAoikJgYCCdOnWidevWHDx4EDc3N7XDEoWF9HlSjSRPolho0qQJR44coVy5crz88sts3LhR7ZBEMffo0SN69uzJhAkTmDRpEj/88AOlSpVSOywhRDZI8iSKDVdXV3799Vf8/Px48803CQgIQK/Xqx2WKIb++ecfmjVrxpYtW/juu+/45JNPpGO4yDENuezzpPYTKMRkeRZRrJQoUYJ169ZRv359Jk6cyF9//cWKFStkTTxhMr/99htvvPEGlpaW/P7777zwwgtqhyQKq9zOEi6jkI0mH3VEsaPRaBg/fjxbtmwhJCSEunXrsmvXLrXDEkXc48eP+fDDD2nevDk1atTgyJEjkjgJUUhJzZMotjp27MipU6cYMGAAbdu25Z133mH27Nn5UgvVsP1EbM/cxSwmHsXSjMc1yvJK+3rMHPdWnl9LZI+X/2RsL8RgHv0ANBoSK9qT/Lw9oeun5vm1QkND6devH+Hh4Xz22Wd88MEHmJvL7VfkjiwMrB6peRLFWqVKlfjpp59YvHgxGzduzPNaqHPnztGixnuU3vk35ldvo73/EO3NGEr+fplj036i4esBeXYtkX2Nm39E6a3nsTh7A+3dh2juPMDq5D/Y/nCWRr4T8+w6qbVNTZs2xd7enuPHj/PRRx9J4iTyhoy2U40kT6LY02g0DBw4kFOnTlGrVi3atm1L//79iYmJyfW5B7z9DRaXUuaWSu2caeik+Sgeu30RnDt3LtfXEdnXsMNEbH+9DIqS5neiAdDpsdt7Ee83puT6OqGhobzwwgvMnTuXzz77jN9//53atWvn+rxCCPVJ8iTEv/K6FmrbbyexPnUj0w93GkAbE0fvUauMvobIuZJ/3QEyHmmUmkBZXTA+cZbaJmEqGkXJ9SaMI8mTEE/Iy1qoKZ9/jyYhKcvhwApgfe2h0fGKnDOLinnmEG2La/eNOndqbdO8efMIDAyU2iaRv/R5sAmjSPIkRAbyohYqW5/qNKDRyac/k3rG70UDOV62IqPaprFjx0ptkxBFlCRPQmQio1qotm3bZnt5l/r1K6KYZf0nplEg0ck2D6IV2aUvbZtlP1kF0JUrma1zJScns2TJEmrUqJGmtqlWrVp5EqsQWZFmO/VI8iTEM6TWQm3cuJHLly/zwgsv0LNnTy5dupTlccs+G0xS1fKZvlErgGJlwdCR7fM8ZpG5R/Udntls97BWmSwfVxSFH374gbp16zJw4ECaNWvG6dOnpbZJmJaMtlONJE9CZINGo+GNN97g9OnTLF68mAMHDuDu7s6wYcOIiorK9LiKHWuh/FvT8eR9SgEw0xLTqipvd3oln6MXT/rj50ASazoB6X8nCvC4YSWObp2W6fF79+7F29ubN954Azc3N44dO8a6deuoVq1avsYtRDqpM4znZhNGkeRJiBwwNzdn4MCBXLhwgWnTprF27VqqV6/O5MmTM+xUvvbL93B/vxnxnq5QwhpFq0GxMCO5qgP32tbkyPbM36RF/jlwbh4PWlRHea5Uyu9Eq0XvaE/sazX4/dCsDI85duwYvr6+tG7dGo1Gw759+9i5c6fMEi5EMaRRFEk9sxIbG4u9vT0xMTHY2dmpHY4oYO7du8fnn3/OV199ha2tLRMmTGDo0KFYW1urHVqOzVv1E6u/PYBGB7qSZhzd9Gmuznfu3DneHrMabaJCsrWWsODCmShevHiRSZMmsWHDBtzd3fnss8/w9/dHo5FlVUV6pnjPSL1G8yaTMTc3/l6TnBzPgYOfyvubESR5egZJnkR2XL9+nU8++YSlS5dSoUIFPv74Y956661C0f/l3LlzDHhrMdZ/3UCTlAykNF/pHe2J9Xbm6OacJ1GNm3+E7dHraB4nGPbpS5cktokLR7ZNz6vQ89WNGzf45JNPWLJkCY6Ojnz88cf06dOnUPxOhXpMmjw1npT75Cl0mry/GUGa7YTIAxUqVODrr7/m9OnTNGrUiH79+lG1alWmT59OdHS02uFl6d3OC7A5dg3+TZzg3wk8o2MovetSjpeQafLyWEr+ehmeSJwANPcfYr/rIg075N3yJ3lNURR+//13evXqReXKldmwYQOBgYFcuHCB/v37S+IkhAAkeRIiTz3//PNs3LiRY8eO8dprrzF9+nRcXV3p0aMHv/76KwWtotfTbzIW51M6vD/dCKUBSEzC9s872T5frzELKHH4Kkpm59PrsfvjhtHx5peHDx/y9ddf4+HhQdOmTTl8+DAzZszg8uXLjBkzBhsbG7VDFCIdjT73mzCOJE9C5IMXXniBJUuWcP36dWbOnElYWBjNmjWjQYMGBAUF8eDBA7VDBKDkpaxnTtcA5ldus3rLr9k63+VDEWh0+kynAtAA2rsP8Oo0OUdx5pczZ84wfPhwXFxcGDp0KG5ubvz000+cP3+e0aNHU7p0abVDFCJzMtpONZI8CZGPypQpw8iRIzl37hx79uyhevXqvPfee1SoUIFhw4Zx+vRpVePTPkh4ZhmNXk/QupBsnc8iNiFbU8doE3TZOl9+SEpKYuPGjbRs2ZI6derw3Xff8f777xMeHs7mzZt57bXX0Grl1iiEyJzcIYQwAa1Wi4+PD5s2beLKlSuMHDmS77//nrp169KiRQu+++474uPjTR6XYm2R8Qq5T5bRwMsvVM/W+XQ22esTpLcw/a0nIiKCqVOnUrlyZd588010Oh3ffvst165dY9q0aVSqVMnkMQmRKzJJpmokeRLCxFxdXfnkk0+IiIhg/fr1KIpCt27dKFu2LJ07d2b58uXcvHnTJLHE1bBHk8UNVAH0zmWYOe6tbJ1PV6kkZDGEXwGUkjZZTkKZVxRF4dixY0ydOpUXX3yRypUrM2vWLPz9/fnzzz/55Zdf6N69O5aWlvkeixD5QZZnUY8kT0KoxNLSkm7dunHgwAHOnj1LQEAAN2/epH///jg5OfHyyy8zY8YMzpw5k28dzY9sn47OqXSGH0AVAK2G2Bccsn2+P76bSpK7U4aPpV7jYaMKOQ0z2+Lj49m5cydDhgzB1dUVT09P5syZg7u7O99++y3Xr19n4cKF1KtXL99iEEIUfZI8CVEAuLu789FHH/H7778TFRXF0qVLcXR05NNPP6VOnTrUqFGD0aNHs2/fPpKSkvL02rUGNUbnWjZ9Tb61JbGv1chxLdHXPwwloZYzikaT9nzmZsS9UpU/fg7Mq9ABuHXrFitWrKBLly6UK1eOdu3a8dNPP9G1a1dCQkK4desW69ato3v37jKXjShaVOowvmDBAqpUqYK1tTXe3t4cPnw4y/IbN27E3d0da2tr6tWrx44dO556GgoBAQE4OztjY2ODj48PFy5cMDx+5coV+vfvj5ubGzY2NlSrVo0pU6aQmJhoVPx5QSbJfAaZJFOoKT4+nr179xIcHMzWrVuJjIykdOnStGvXjldffRUvLy/c3d3zZP4hL/9JWN14jDZZT2JZGyYHdKND0wZGn69Zj09IvvoAs8fJJJe2ol2XRkwe9nqu44yJieH48eOEhoayfft2Dh48CIC3tzd+fn74+flRu3ZtmQFcqMKUk2S2fHE85ma5mCRTF8++Y4E5inXDhg307t2boKAgvL29mTNnDhs3buT8+fM4OKSvpT548CDNmjUjMDCQDh06sG7dOj7//HOOHTtG3bp1Afj8888JDAxk5cqVuLm5MXnyZP766y/OnDmDtbU1u3btYsOGDfTo0YPq1atz6tQpBg4cyNtvv82XX35p9PPPjUKTPE2fPp3t27dz4sQJLC0tuX///jOPURSFKVOm8M0333D//n1efvllFi1aRI0aNbJ9XUmeREGh1+s5duwYW7duZcuWLZw8eRIAGxsbPDw88PLywtPTE09PzzxLqNSWmigdPXqUsLAwwsLCDJ9IS5Qowauvvoqfnx/t27fH0dFR5WiFMG3y1OqFcblOnvYen5GjWL29vWnYsCHz588HUu5Lrq6uDB8+nHHjxqUr361bN+Li4ti2bZth30svvYSHhwdBQUEoioKLiwsffPABY8aMAVL+7h0dHVmxYgXdu3fPMI4vvviCRYsWcfny5Zw+7TxRaO6uiYmJdO3alcaNG7N06dJsHTNz5kzmzp2bJpv19fU1ZLNCFCZarRYvLy+8vLz4+OOPDYlFalKxa9cu5s2bB6QkVC+88IIhmSoMCVVsbCzHjh0jLCzMkCw9mSh5eHjQpk0bJk6cWCiejxBFTWJiImFhYYwfP96wL3UkcWhoaIbHhIaGMnr06DT7fH192bx5MwDh4eFERUXh4+NjeNze3h5vb29CQ0MzTZ5iYmJ47rnncvmMjFdo7jwff/wxACtWrMhWeUVRmDNnDpMmTaJTp04ArFq1CkdHRzZv3pzpL0SIwsLe3p4WLVrQokULw76sEqoSJUpQuXJlXFxccHZ2Nnx9+ntbW9s8jVOv13Pnzh1u3LjBjRs3iIyMTPf99evXiYiIMMQpiZIQ2aCQu4ku/z00NjY2zW4rKyusrKzSFb99+zY6nS5dLa+joyPnzp3L8BJRUVEZlo+KijI8nrovszJPu3jxIvPmzVOtyQ4KUfKUU8ZmswkJCSQk/Ddx4NP/qYQoyLJKqI4dO0ZERASRkZFcuXKF0NBQIiMjefz4cZpz2NnZpUmoSpQogYWFBebm5pibmxu+12q1JCcnG7akpCTD17t37xqSo6ioqHSd3MuWLWs4f82aNWnevDnu7u6SKAmRE7mdJfzfY11dXdPsnjJlClOnTs1FYPnn+vXrtGnThq5duzJw4EDV4iiydyhjslmAwMBAQy2XEEVBRglVKkVRiI2NzbA2KLVG6PHjx2mSo9RNp9OlSaae3MqUKUOdOnXw8fFJk4i5uLjg6OiY4adaIYQ6rl27lqbPU2Z/n+XKlcPMzCzdYufR0dE4OWU8RYmTk1OW5VO/RkdH4+zsnKaMh4dHmuMiIyNp2bIlTZo0YfHixdl7cvlE1eRp3LhxfP7551mWOXv2LO7u7iaKCMaPH5+mfTY2NjZdVi5EUaHRaLC3t8fe3p5atWqpHY4QIif0PHOFgGceT0ptc3Y6jFtaWuLp6UlISAj+/v4pp9DrCQkJYdiwYRke07hxY0JCQhg5cqRh3549e2jcuDEAbm5uODk5ERISYkiWYmNjOXToEEOGDDEcc/36dVq2bImnpyfLly9XfQklVZOnDz74gL59+2ZZpmrVqkadOyfZ7JMya+sVQgghCpLczhJuzLGjR4+mT58+eHl50ahRI+bMmUNcXBz9+vUDoHfv3lSoUIHAwJT53EaMGEHz5s2ZNWsW7du3Z/369Rw9etRQc6TRaBg5ciTTpk2jRo0ahsFdLi4uhgTt+vXrtGjRgsqVK/Pll19y69YtQzyZ1XjlN1WTp/Lly1O+fPl8OXd2s1khhBBCZE+3bt24desWAQEBREVF4eHhwa5duwxdZCIiItLUCjVp0oR169YxadIkJkyYQI0aNdi8ebNhjieAsWPHEhcXx6BBg7h//z5NmzZl165dhlHxe/bs4eLFi1y8eJGKFSumiUet2ZYKzTxPERER3L17l+DgYL744gt+/fVXAKpXr07JkiWBlFmaAwMD6dy5M5Ay8daMGTPSTFXw559/5miqApnnSQghRHaZcp6n1nU+xNzM+JaSZF0CIae/kPc3IxSaDuMBAQGsXLnS8PMLL7wAwL59+wwdYc+fP09MTIyhzLOyWSGEEKLQyqPRdiLnCk3Nk1qk5kkIIUR2mbTmqfaY3Nc8nflS3t+MUGhqnoQQQgjxBKl5Uo0kT0IIIURhlEdTFYick+RJCCGEKITUmKpApFB3likhhBBCiEJGap6EEEKIwkj6PKlGkichhBCiMNIroMlFAqSX5MlY0mwnhBBCCJEDUvMkhBBCFEbSbKcaSZ6EEEKIQimXyROSPBlLmu2E+H979x4UVfnGAfy7oOyCDMsQyoKigiA2iuAlEMZR+rkJypRMjXlhFM1bTpaMt9ASs3JMs3QsHLpMol28TaampuIqYyphKoyKl4QYScbFRAXvJPv8/mDY2kDhLOwum9/PzBnd4/uefc6zh+Xxfd89S0REpABHnoiIiJwRp+0chsUTERGRMzIJmjX1xk/bWY3TdkREREQKcOSJiIjIGYmpdmtOf7IKiyciIiJnxDVPDsPiiYiIyBlxzZPDcM0TERERkQIceSIiInJGnLZzGBZPREREzkjQzOKpxSJ54nDajoiIiEgBjjwRERE5I07bOQyLJyIiImdkMgFoxr2aTLzPk7U4bUdERESkAEeeiIiInBGn7RyGxRMREZEzYvHkMJy2IyIiIlKAI09ERETOiF/P4jAsnoiIiJyQiAki1n9irjl9n3QsnoiIiJyRSPNGj7jmyWpc80RERESkAEeeiIiInJE0c80TR56sxuKJiIjIGZlMgKoZ65a45slqnLYjIiIiUoAjT0RERM6I03YOw+KJiIjICYnJBGnGtB1vVWA9TtsRERERKcCRJyIiImfEaTuHYfFERETkjEwCqFg8OQKn7YiIiIgU4MgTERGRMxIB0Jz7PHHkyVoceSIiInJCYpJmb9bIyMhA165dodFoEB0djWPHjj22/ZYtW9CjRw9oNBqEh4dj9+7dluchgvT0dPj7+8Pd3R16vR4XL160aLNkyRLExsbCw8MD3t7eVsXdklg8EREROSMxNX9TaNOmTZg1axYWLVqEkydPIiIiAvHx8bh69WqD7Y8ePYoxY8Zg0qRJyM/PR1JSEpKSknDmzBlzm+XLl2P16tXIzMxEXl4e2rVrh/j4eNy/f9/cprq6GiNHjsT06dOV58kGVCIct3ucqqoqaLVaVFZWwsvLy9HhEBFRK2aP3xl1z/Gs64too2pr9XEeyl84WLNVUazR0dF45pln8OmnnwIATCYTAgMD8frrryMtLa1e+1GjRuHOnTvYuXOned+AAQMQGRmJzMxMiAgCAgIwe/ZszJkzBwBQWVkJPz8/ZGVlYfTo0RbHy8rKQmpqKm7evGnlWbcMjjwRERE5oZaatquqqrLYHjx40ODzVVdX48SJE9Dr9eZ9Li4u0Ov1yM3NbbBPbm6uRXsAiI+PN7cvKSmB0Wi0aKPVahEdHf3IY7YGLJ6IiIicUQtN2wUGBkKr1Zq3pUuXNvh0165dQ01NDfz8/Cz2+/n5wWg0NtjHaDQ+tn3dn0qO2Rrw03aNqJvVrKqqcnAkRETU2tX9rrDHipiH+KtZ98h8iL8AAH/88YfFtJ1arW5uaP95LJ4aUVFRAaC2MiciImqKiooKaLVamxzbzc0NOp0Oh427G2/cCJ1OB19fX2g0mkbb+vr6wtXVFeXl5Rb7y8vLodPpHnn8x7Wv+7O8vBz+/v4WbSIjI5Wcil2xeGqEj48PAKC0tNRmPwjOoKqqCoGBgfX+h/KkYR5qMQ+1mIe/MRe1Kisr0blzZ/PvDlvQaDQoKSlBdXV1s4/l5ubWpMKprm2/fv1gMBiQlJQEoHbBuMFgwIwZMxrsExMTA4PBgNTUVPO+7OxsxMTEAACCgoKg0+lgMBjMxVJVVRXy8vJazSfrGsLiqREuLrXLwrRa7RP9hlDHy8uLeQDzUId5qMU8/I25qFX3u8NWNBpNk4ueljRr1iykpKSgf//+iIqKwqpVq3Dnzh1MnDgRADB+/Hh07NjRvG5q5syZGDx4MD766CMkJiZi48aNOH78OD7//HMAgEqlQmpqKt5//32EhoYiKCgICxcuREBAgLlAA2oHMK5fv47S0lLU1NSgoKAAABASEgJPT0+75gBg8URERERNNGrUKPz5559IT0+H0WhEZGQk9uzZY17wXVpaalE4xsbG4rvvvsPbb7+NBQsWIDQ0FNu2bUOvXr3MbebNm4c7d+5g6tSpuHnzJgYOHIg9e/ZYFIfp6elYt26d+XGfPn0AAAcPHkRcXJyNz7o+3uepEbzPUy3moRbzUIt5qMU8/I25qMU8PBl4q4JGqNVqLFq06In/9AHzUIt5qMU81GIe/sZc1GIengwceSIiIiJSgCNPRERERAqweCIiIiJSgMUTERERkQIsnoiIiIgUYPHUgCVLliA2NhYeHh7w9vZuUp8JEyZApVJZbAkJCbYN1MasyYOIID09Hf7+/nB3d4der8fFixdtG6iNXb9+HcnJyfDy8oK3tzcmTZqE27dvP7ZPXFxcvevh1VdftVPELSMjIwNdu3aFRqNBdHQ0jh079tj2W7ZsQY8ePaDRaBAeHo7du5v/1RGtgZI8ZGVl1XvdHXEjw5Z26NAhPP/88wgICIBKpcK2bdsa7ZOTk4O+fftCrVYjJCQEWVlZNo/T1pTmIScnp971oFKpWvUX3lLTsHhqQHV1NUaOHKn41vAJCQm4cuWKeduwYYONIrQPa/KwfPlyrF69GpmZmcjLy0O7du0QHx+P+/fv2zBS20pOTkZhYSGys7Oxc+dOHDp0CFOnTm2035QpUyyuh+XLl9sh2paxadMmzJo1C4sWLcLJkycRERGB+Ph4XL16tcH2R48exZgxYzBp0iTk5+cjKSkJSUlJOHPmjJ0jb1lK8wDU3mH7n6/7pUuX7Bixbdy5cwcRERHIyMhoUvuSkhIkJibi2WefRUFBAVJTUzF58mTs3bvXxpHaltI81Llw4YLFNdGhQwcbRUh2I/RIa9euFa1W26S2KSkpMmLECJvG4yhNzYPJZBKdTicffvihed/NmzdFrVbLhg0bbBih7Zw9e1YAyK+//mre99NPP4lKpZKysrJH9hs8eLDMnDnTDhHaRlRUlLz22mvmxzU1NRIQECBLly5tsP3LL78siYmJFvuio6Nl2rRpNo3T1pTmQcl7hrMCID/88MNj28ybN0969uxpsW/UqFESHx9vw8jsqyl5OHjwoACQGzdu2CUmsh+OPLWgnJwcdOjQAWFhYZg+fToqKiocHZJdlZSUwGg0Qq/Xm/dptVpER0cjNzfXgZFZLzc3F97e3ujfv795n16vh4uLC/Ly8h7b99tvv4Wvry969eqF+fPn4+7du7YOt0VUV1fjxIkTFq+ji4sL9Hr9I1/H3Nxci/YAEB8f77SvO2BdHgDg9u3b6NKlCwIDAzFixAgUFhbaI9xW5b94PTRHZGQk/P398dxzz+HIkSOODodaAL/broUkJCTgxRdfRFBQEIqLi7FgwQIMGzYMubm5cHV1dXR4dlE3j1/3HUd1/Pz8nHaO32g01htib9OmDXx8fB57TmPHjkWXLl0QEBCAU6dO4c0338SFCxewdetWW4fcbNeuXUNNTU2Dr+P58+cb7GM0Gv9TrztgXR7CwsLw1VdfoXfv3qisrMSKFSsQGxuLwsJCdOrUyR5htwqPuh6qqqpw7949uLu7Oygy+/L390dmZib69++PBw8e4Msvv0RcXBzy8vLQt29fR4dHzfDEFE9paWlYtmzZY9ucO3cOPXr0sOr4o0ePNv89PDwcvXv3Rrdu3ZCTk4MhQ4ZYdUxbsHUenEVT82Ctf66JCg8Ph7+/P4YMGYLi4mJ069bN6uNS6xYTE4OYmBjz49jYWDz99NP47LPP8N577zkwMnKEsLAwhIWFmR/HxsaiuLgYK1euxNdff+3AyKi5npjiafbs2ZgwYcJj2wQHB7fY8wUHB8PX1xdFRUWtqniyZR50Oh0AoLy8HP7+/ub95eXliIyMtOqYttLUPOh0unqLgx8+fIjr16+bz7cpoqOjAQBFRUWtvnjy9fWFq6srysvLLfaXl5c/8px1Op2i9s7Amjz8W9u2bdGnTx8UFRXZIsRW61HXg5eX1xMz6vQoUVFROHz4sKPDoGZ6Yoqn9u3bo3379nZ7vsuXL6OiosKiiGgNbJmHoKAg6HQ6GAwGc7FUVVWFvLw8xZ9ctLWm5iEmJgY3b97EiRMn0K9fPwDAgQMHYDKZzAVRUxQUFABAq7seGuLm5oZ+/frBYDAgKSkJAGAymWAwGDBjxowG+8TExMBgMCA1NdW8Lzs722IUxtlYk4d/q6mpwenTpzF8+HAbRtr6xMTE1LtVhbNfDy2loKDAKd4HqBGOXrHeGl26dEny8/Nl8eLF4unpKfn5+ZKfny+3bt0ytwkLC5OtW7eKiMitW7dkzpw5kpubKyUlJbJ//37p27evhIaGyv379x11Gs2mNA8iIh988IF4e3vL9u3b5dSpUzJixAgJCgqSe/fuOeIUWkRCQoL06dNH8vLy5PDhwxIaGipjxowx//vly5clLCxM8vLyRESkqKhI3n33XTl+/LiUlJTI9u3bJTg4WAYNGuSoU1Bs48aNolarJSsrS86ePStTp04Vb29vMRqNIiIybtw4SUtLM7c/cuSItGnTRlasWCHnzp2TRYsWSdu2beX06dOOOoUWoTQPixcvlr1790pxcbGcOHFCRo8eLRqNRgoLCx11Ci3i1q1b5p9/APLxxx9Lfn6+XLp0SURE0tLSZNy4ceb2v//+u3h4eMjcuXPl3LlzkpGRIa6urrJnzx5HnUKLUJqHlStXyrZt2+TixYty+vRpmTlzpri4uMj+/fsddQrUQlg8NSAlJUUA1NsOHjxobgNA1q5dKyIid+/elaFDh0r79u2lbdu20qVLF5kyZYr5DdZZKc2DSO3tChYuXCh+fn6iVqtlyJAhcuHCBfsH34IqKipkzJgx4unpKV5eXjJx4kSLArKkpMQiL6WlpTJo0CDx8fERtVotISEhMnfuXKmsrHTQGVjnk08+kc6dO4ubm5tERUXJL7/8Yv63wYMHS0pKikX7zZs3S/fu3cXNzU169uwpu3btsnPEtqEkD6mpqea2fn5+Mnz4cDl58qQDom5ZdR+5//dWd+4pKSkyePDgen0iIyPFzc1NgoODLd4nnJXSPCxbtky6desmGo1GfHx8JC4uTg4cOOCY4KlFqURE7DbMRUREROTkeJ8nIiIiIgVYPBEREREpwOKJiIiISAEWT0REREQKsHgiIiIiUoDFExEREZECLJ6IiIiIFGDxRERERKQAiyciUmzdunUYOHAgACAuLg4qlQoqlQoajQbdu3fH0qVLwfvvEtF/FYsnIlJs+/bteOGFF8yPp0yZgitXruDChQuYP38+0tPTkZmZ6cAIiYhsh8UTEZmtX78eTz31FB48eGCxPykpCePGjQMA3L9/H/v27bMonjw8PKDT6dClSxdMnDgRvXv3RnZ2tl1jJyKyFxZPRGQ2cuRI1NTUYMeOHeZ9V69exa5du/DKK68AAAwGAzp27IgePXrU6y8i+Pnnn3H+/Hm4ubnZLW4iInti8UREZu7u7hg7dizWrl1r3vfNN9+gc+fOiIuLA1B/yg4A1qxZA09PT6jVagwaNAgmkwlvvPGGPUMnIrIbFk9EZGHKlCnYt28fysrKAABZWVmYMGECVCoVRAQ//vhjveIpOTkZBQUFOHLkCIYNG4a33noLsbGxjgifiMjm2jg6ACJqXfr06YOIiAisX78eQ4cORWFhIXbt2gUAOHbsGB4+fFivMNJqtQgJCQEAbN68GSEhIRgwYAD0er3d4ycisjUWT0RUz+TJk7Fq1SqUlZVBr9cjMDAQQO2UXWJiIlxdXR/Z19PTEzNnzsScOXOQn58PlUplr7CJiOyC03ZEVM/YsWNx+fJlfPHFF+aF4gCwY8eOelN2DZk2bRp+++03fP/997YMk4jIIVg8EVE9Wq0WL730Ejw9PZGUlAQAKC4uRlFREeLj4xvt7+Pjg/Hjx+Odd96ByWSycbRERPbFaTsialBZWRmSk5OhVqsB1E7Z/e9//0O7du0s2uXk5DTYnzfJJKL/KhZPRGThxo0byMnJQU5ODtasWWPe36lTJ8yfP9+BkRERtQ4q4RdQEdE/dO3aFTdu3MDChQsxZ84cR4dDRNTqsHgiIiIiUoALxomIiIgUYPFEREREpACLJyIiIiIFWDwRERERKcDiiYiIiEgBFk9ERERECrB4IiIiIlKAxRMRERGRAiyeiIiIiBT4P6r8nsTg5xtJAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_rotor_avg_model(PolarGridRotorAvg(*polar_gauss_quadrature(4,10)), 'PolarGrid_4,10')" ] }, { "cell_type": "markdown", "id": "a2b984fa", "metadata": {}, "source": [ "### CGIRotorAvg\n", "Circular Gauss integration with 4,7,9 or 21 points as defined in Abramowitz M and Stegun A. Handbook of Mathematical Functions. Dover: New York, 1970." ] }, { "cell_type": "code", "execution_count": 15, "id": "5882d32e", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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D4YiIqAwRikQon86H8v47UN57C8rHIyEy/4TQcSvB3bt38f7776NatWowNzdH48aNcfr06VfuExUVhWbNmsHU1BR16tTBqlWr8n3fxcUFMpmswDJmzBit1Pzrr7+iTZs2WjmWFJRaWKhwDEdERGWEyDoD8aAzkPYToLgJKJOBzMMQj4dCpH6ls4D0+PFjtG7dGhUqVMDu3btx8eJFzJ8/H9bW1kXuc+PGDQQEBKB9+/aIi4vDhAkTMGzYMOzdu1e1zalTp5CYmKha9u/fDwDo1auXVuretm0bAgMDtXIsKSj+u1tNk0UdS5YsgYuLC8zMzNCyZUucPHmyyG0vXLiAnj17qoLuwoULC91OnXCtSwxHRERlgFA+h3g8HBAZyN8moMj5X/oaICNCJ+f+9ttv4eTkhJUrV6JFixZwdXXFO++8g9q1axe5T3h4OFxdXTF//ny4u7tj7NixeO+99/Ddd9+ptqlevTrs7e1Vy44dO1C7dm34+vqqtpHJZFi2bBm6du0KCwsLuLu7Izo6GteuXUO7du1QsWJFtGrVCvHx8fnOn5GRgX379qnC0dKlS1G3bl2YmZnBzs4O7733npavkvYphOZLSW3cuBGTJk3CjBkzcObMGXh4eMDf3181MebLnj9/jlq1amH27Nmwt7cvdBt1wrWuMRwREZUFGdsBkYqiO0vkEGk/6+TUERER8Pb2Rq9evWBra4umTZvip59+euU+0dHR8PPzy7fO398f0dHRhW6flZWFtWvXYsiQIQVupf/yyy8xYMAAxMXFwc3NDf369cOIESMQGhqK06dPQwiBsWPH5tsnMjISNWrUgJubG06fPo1x48Zh1qxZuHLlCvbs2YO2bduqcSXKvgULFiAkJASDBw9GgwYNEB4eDgsLC/zyyy+Fbt+8eXPMnTsXffr0gampaaHbqBOudY3hiIioDBBZMQBeNSGhEsi+DCEytH7u69ev48cff0TdunWxd+9ejBo1CuPGjcOvv/5a5D5JSUmws7PLt87Ozg6pqalIT08vsP3WrVvx5MkTDBo0qMD3Bg8ejN69e6NevXr49NNPcfPmTfTv3x/+/v5wd3fH+PHjERUVlW+fvF1qt2/fRsWKFdG1a1c4OzujadOmGDduXMkvhJ5pa8xRampqviUzM7PQ82VlZSEmJiZfqJXL5fDz8ysy1BaHOuFa1xiOiIjKhOJOTKj9CQyVSiWaNWuGb775Bk2bNsXw4cMREhKC8PBwrZ3j559/RufOneHo6Fjge02aNFH9OTdwNW7cON+6jIwMpKamAsh5Rtr27dtV4ejtt9+Gs7MzatWqhQ8++ADr1q3D8+fPtVa7righg0KDRfnfz4KTkxOsrKxUS1hYWKHne/DgARQKRaGhNikpSe3XoU641jWGIyKiMkBm0hKq8UWFkgPGjSGTFd61oQkHBwc0aNAg3zp3d3fcvn27yH3s7e2RnJycb11ycjIsLS1Vzy/LdevWLRw4cADDhg0r9FgVKlRQ/Tm3y62wdUplTlvJyZMnkZ2djVatWgEAKleujDNnzuC3336Dg4MDpk+fDg8PDzx58uRVL7vMuHPnDlJSUlRLaGioXs+vj3BdUgxHRERlgXkXQF4VRb+tKyGrOFQnp27dujWuXLmSb90///wDZ2fnIvfx8fFBZGRkvnX79++Hj49PgW1XrlwJW1tbBAQEaKXebdu2ISAgIN9z0YyNjeHn54c5c+bg77//xs2bN3Hw4EGtnE9XlELzBQAsLS3zLUWNDbKxsYGRkVGhobaowdbFoU641jWGIyKiMkAmM4PMegUgq4T8b+3/BYCKIyEz76KTc0+cOBHHjx/HN998g2vXrmH9+vVYvnx5vvmIQkNDMWDAANXXI0eOxPXr1/HJJ5/g8uXLWLp0KTZt2oSJEyfmO7ZSqcTKlSsxcOBAGBtr56EOERER+W7h37FjBxYtWoS4uDjcunULq1evhlKpRP369bVyPl3RpEstdykJExMTeHl55Qu1SqUSkZGRhYba4lInXOsaHx9CRFRGyCo0Amz2AumbITL2AiIdqNAQMov+kJk009l5mzdvjj/++AOhoaGYNWsWXF1dsXDhQvTv31+1TWJiYr6WAFdXV+zcuRMTJ07E999/jzfeeAMrVqyAv79/vmMfOHAAt2/fxpAhQ7RSa3x8PK5du5bvPFWqVMGWLVvwxRdfICMjA3Xr1sVvv/2Ghg0bauWcZcmkSZMwcOBAeHt7o0WLFli4cCHS0tIwePBgAMCAAQNQo0YN1bilrKwsXLx4UfXnu3fvIi4uDpUqVUKdOnUA5ITrVq1a4ZtvvkHv3r1x8uRJLF++HMuXL5fmRQKQCV1Pm2rgUlNTYWVlhZSUFFhaWkpdDhGVYRkZGbhx4wZcXV1hZmYmdTll0oIFC3DgwAHs2rVL7WO86u9JH58Zuec4dsEBlSqr3wH07KkSrRomlrjWxYsXY+7cuUhKSoKnpycWLVqEli1bAgDatWsHFxcX1WznN2/ehKura4Fj+Pr65ruDcMeOHQgNDcXVq1fh6uqKSZMmISQkRO3XpimGo9dgOCIifWE40r1NmzbBwcEBb731ltrHKC3h6Oh5R43DUZtGCfx8KwS71YiIqNzo3bu31CWQAWA4IiIiMkDqDKp+eX8qHMMREVEpw9EOpVtp+ftRQA6FBjedv2pWrPKO4YiIqJTInbjw+fPnBSZCpNIjd/bsvBNNSkEIGZRC/dYfocG+ZR3DERFRKWFkZIQqVaqonnBuYWFR4CGrJB0hBJ4/f4579+6hSpUq+SaRpLKF4YiIqBTJnWk4NyBR6VOlShWNZoTWFo450h2GIyKiUkQmk8HBwQG2trZ48eKF1OXQSypUqFBqWowUQg6F0GDMUekYOlUqMRwREZVCRkZGpeZDmKi8YTgiIiIyQErIoNTgbjUl2HRUFIYjIiIiA8QxR7qjfuQkIiIiKoPYckRERGSANB+QzW61ojAcERERGaCcMUfqd41psm9Zx241IiIiojzYckRERGSAlBo+W413qxWN4YiIiMgAccyR7jAcERERGSAl5JznSEc45oiIiIgoD7YcERERGSCFkEEhNJgEUoN9yzqGIyIiIgOk0HBAtoLdakViOCKiEhFCIPF6Mp4/TYedc3VUtq4kdUlERFrFcERExXZs2ymsmr4BN87dBgAYGRvBt7cPQr59HzY1qklcHVH5ohRyKDW4W03Ju9WKZFADso8cOYJu3brB0dERMpkMW7dufe0+UVFRaNasGUxNTVGnTh2sWrVK53USlUV7fjmIGT3m4Ob5O6p1imwFDm86hjEtQvHg7kMJqyMqf3K71TRZqHAGdWXS0tLg4eGBJUuWFGv7GzduICAgAO3bt0dcXBwmTJiAYcOGYe/evTqulKhsSUtJww8f/gwgp1stL0W2Ein3U7Dq8w1SlEZEpHUG1a3WuXNndO7cudjbh4eHw9XVFfPnzwcAuLu74+jRo/juu+/g7++vqzKJypxDG47hRcYLVTASUEJAQAY5ZJBBka1E5PqjGLNoCMwrmUtcLVH5oIRmd5wptVdKmWNQ4aikoqOj4efnl2+dv78/JkyYUOQ+mZmZyMzMVH2dmpqqq/KIJJWVlYWkpCQkJCQgMTERiYmJqj/nXZeeno6M9ExkK19AFHV3iwBkmXJUs90GExMTVKlSBY6OjnBwcCjy/9WqVYNMxluJidSl+SSQBtV5pFdlOhwlJSXBzs4u3zo7OzukpqYiPT0d5uYFf8MNCwvDzJkz9VUikU5lZmbi77//RkxMDGJjY3Hr1i1V8Hnw4EG+bStUqAB7e3tVeGndujXs7e1RsWJFnD14Aad2xwFKqFqLAJmqBSnnPyUGfhaMCmbGePTokSpkHT58GAkJCXj48GGB8zk4OKgCU/369eHl5QVvb284OzszOBGRZMp0OFJHaGgoJk2apPo6NTUVTk5OElZEVDwZGRk4d+4cYmJiEBMTg9OnT+P8+fPIzs6GkZERGjZsiNq1a6Nt27ZFtuTI5YX/Jvlv1wQM3jUeKCKvyOUyNGzjhtBpU4qsLzMzE0lJSYW2UN29exerV6/G7NmzAQBVq1aFl5dXvsXFxYWBiSgPzZ+txpajopTpcGRvb4/k5OR865KTk2FpaVloqxEAmJqawtTUVB/lEaktKysLcXFxqiAUExOTLwg1atQIXl5eCAkJgZeXF5o0aVLkz3xxvFHPEX7vt0Xk+j8hlC91rckAAWDgF8GvPIapqSmcnZ3h7Oxc5DZJSUn5wt3LgalZs2aqsNS8eXO4uLio/ZqIDJ0SMiiL+o2lmPtT4cp0OPLx8cGuXbvyrdu/fz98fHwkqohIfQ8fPsTu3bsRERGBPXv24OnTpzoJQkWZ+NNIyI3l2PdrFGQyGeRGciheKFDRygKTfx4Nj3YNNT6Hvb09AgICEBAQoFqXNzDFxMRgzZo1+PbbbwEA9erVQ2BgIAIDA+Hj4wNj4zL9lkaUD1uOdEcmXr4vtxR79uwZrl27BgBo2rQpFixYgPbt26Nq1aqoWbMmQkNDVc3zQM6t/I0aNcKYMWMwZMgQHDx4EOPGjcPOnTuLfbdaamoqrKyskJKSAktLS529NqLCXL16FREREYiIiMDRo0ehVCrRvHlzdOvWDW+//TY8PDx0EoReJenmPRzdcgLPU9PxRj0HtHm3JUzMTPRbQ1ISjh8/jp07d2L79u1ITk5GtWrV0KVLFwQGBsLf3x+VK1fWa01EgH4+M3LP8d3pVjCvpP4vBOnPsjHR+xg/3wphUOEoKioK7du3L7B+4MCBWLVqFQYNGoSbN28iKioq3z4TJ07ExYsX8cYbb+Dzzz/HoEGDin1OhiPSJ4VCgePHj6sC0eXLl2FmZoaOHTsiMDAQXbt2haOjo9RllipKpRKnTp1SXbPz58/DxMQE7du3R2BgILp168Zxg6Q3+gxH80630TgcTfY+ys+3QhhUOJICwxHp2osXL7Br1y5s3boVO3bswIMHD1C9enV069YNgYGB8PPzQ8WKFaUu02DcuHED27dvR0REBA4fPozs7Gw0bdoUgYGBCA4Ohru7u9QlUhmmz3A059RbGoejT5r/yc+3QrDDkUgiCQkJmDlzJlxcXBAUFIRTp05h2LBhOHbsGBITE/Hzzz+je/fuDEYl5OrqinHjxuHAgQO4f/8+fvvtN7i5ueH7779HgwYN0L59e2zevBkvXryQulQiKqU4epFIj4QQiIqKwtKlS/HHH3/AzMwM77//PkaNGgUPDw+pyytzqlSpgj59+qBPnz7IysrCli1bsHTpUvTu3RsODg4ICQnB8OHDUaNGDalLJSoxpYbPR+MkkEXjlSHSg5SUFPzwww9o2LAhOnTogAsXLmDhwoW4e/cuwsPDGYz0wMTEBH369MGRI0fw999/IygoCAsWLICzszN69uyJyMjIAs+NIyrNlEKu8UKF45Uh0qGzZ89ixIgRcHR0xKRJk9CoUSMcOnQIFy5cwNixY2FlZSV1ieVS48aNsXTpUty9exeLFi3ClStX4OfnB3d3d3z//fd48uSJ1CUSkYQYjoi0TKlUYsOGDWjdujU8PT2xY8cOfPrpp7h16xY2bdqEdu3acabnUsLS0hKjR4/GuXPncPjwYXh6emLy5MmoUaMGQkJCcOnSJalLJCqSAjKNFyocwxGRlgghsHPnTjRt2hR9+/aFmZkZfv/9d9y8eRPTp0/nLfilmEwmQ9u2bbFhwwbcuXMHoaGh2L17Nxo1aoShQ4fizp07UpdIVAC71XSHV4ZIC44dOwZfX1907doV1tbWiI6ORmRkJN59911UqFBB6vKoBOzt7TFt2jTEx8fju+++w/bt21G3bl1Mnjy5wMNziahsYjgi0sCFCxfQvXt3tG7dGqmpqdi1axcOHTqEN998U+rSSEOmpqYYN24c4uPjERoaimXLlqFWrVr45ptvkJaWJnV5RFBA0641KgrDEZEabt26hUGDBqFx48Y4f/481q1bhzNnzqBz584cT1TGVK5cGTNmzEB8fDwGDx6ML774AnXq1MGPP/7IuZJIUuxW0x1eGaISePDgASZNmoR69eph9+7d+OGHH3Dp0iX069cPcjn/OZVltra2WLhwIf755x+8/fbbGDNmDNzd3bFhwwYolUqpy6NyKPfBs5osVDheGaJieP78Ob788kvUqlULK1asUI1JGTNmDExM9PvQVZKWi4sLVq9ejbNnz8Ld3R19+/aFt7c3Dhw4IHVpRKQlDEdEr/HXX3/B09MTX331FYYNG4br16/j888/R6VKlaQujSTUuHFjbN++HX/++SfMzc3x9ttvY/DgwZwjifRGQAalBovgrfxFYjgiKsLz58/x0Ucf4a233kK1atVw9uxZLFiwADY2NlKXRqVImzZtcPToUaxYsQJbtmxBo0aNsGvXLqnLonKA3Wq6wytDVIjc1qIlS5Zgzpw5OHr0KNzc3KQui0opmUyGoUOH4vz582jUqBECAgLYikRkwBiOiPJ4ubUoLi4OkydPhpGRkdSlkQFwcnLC7t272YpEeqEUMo0XKhzDEdF/2FpE2sBWJNIXBeQaL+pYsmQJXFxcYGZmhpYtW+LkyZNFbnvhwgX07NkTLi4ukMlkWLhw4SuPPXv2bMhkMkyYMEGt2rSF4YjKPbYWkS6wFYnKoo0bN2LSpEmYMWMGzpw5Aw8PD/j7++PevXuFbv/8+XPUqlULs2fPhr29/SuPferUKSxbtgxNmjTRReklwnBE5Rpbi0iX2IpEuiRFt9qCBQsQEhKCwYMHo0GDBggPD4eFhQV++eWXQrdv3rw55s6diz59+sDU1LTI4z579gz9+/fHTz/9BGtr6xLXpW0MR1QuCSEwf/58tG3blq1FpHMvtyI1a9YM58+fl7osMnBKyDVeACA1NTXfkpmZWej5srKyEBMTAz8/P9U6uVwOPz8/REdHa/RaxowZg4CAgHzHlhLDEZU7GRkZGDRoECZPnoyPP/6YrUWkF7mtSGfPnkXlypXh4+ODbdu2SV0WEZycnGBlZaVawsLCCt3uwYMHUCgUsLOzy7fezs4OSUlJap9/w4YNOHPmTJHnlYKx1AUQ6VNiYiJ69OiBs2fPYt26dejXr5/UJVE54+LigmPHjmHgwIEICgrCl19+ialTp/KZfFRiCiGDQoM7znL3vXPnDiwtLVXrX9X9pW137tzB+PHjsX//fpiZmentvK/DcETlxqlTpxAUFASZTIY///wT3t7eUpdE5VTFihWxadMmfPXVV/j8889x7tw5rFy5EhYWFlKXRgZE09vxc/e1tLTMF46KYmNjAyMjIyQnJ+dbn5yc/NrB1kWJiYnBvXv30KxZM9U6hUKBI0eOYPHixcjMzJRkuAO71ahcWL9+Pdq2bYuaNWvi1KlTDEYkOblcjunTp+P333/Hzp070aZNG9y+fVvqssiACCGHUoNFlHCGbBMTE3h5eSEyMlK1TqlUIjIyEj4+Pmq9ho4dO+LcuXOIi4tTLd7e3ujfvz/i4uIkGwfKcERlmkKhwJQpU9C/f38EBwfj0KFDcHBwkLosIpV3330Xx44dw6NHj9C8eXP89ddfUpdEVKRJkybhp59+wq+//opLly5h1KhRSEtLw+DBgwEAAwYMQGhoqGr7rKwsVejJysrC3bt3ERcXh2vXrgEAKleujEaNGuVbKlasiGrVqqFRo0aSvEaA3WpUhqWkpKB///7YvXs3FixYgAkTJnBcB5VKTZo0walTp9CrVy+0b98eP/74I4YOHSp1WVTKKSCDQoOHx6qzb3BwMO7fv4/p06cjKSkJnp6e2LNnj2qQ9u3btyGX/3+7S0JCApo2bar6et68eZg3bx58fX0RFRWldu26JhNCCKmLKM1SU1NhZWWFlJSUYvXJUulw9epVBAYGIjExERs3boS/v7/UJRG91osXLzBu3DiEh4dj3LhxmD9/PoyN+TusIdHHZ0buOQZH9YZJJRO1j5P1LAsr223i51sh+K+Oypzo6GgEBATA1tYWJ0+eRL169aQuiahYKlSogB9//BFNmjTBuHHjcOXKFWzZsoUDtYn0jGOOqEw5fPgw3n77bTRu3BgnTpxgMCKDNGrUKOzduxdHjx5Fly5d8PTpU6lLolJIk8HYuQsVjleGyox9+/ahc+fOaNWqFXbv3g0rKyupSyJSW4cOHbBv3z7ExsbC398fKSkpUpdEpYwSMo0XKhzDEZUJO3bsQLdu3dChQwdERESwG4LKhFatWiEyMhKXL19Gx44d8fDhQ6lLIioXGI7I4G3ZsgU9evRA165dsWXLllI1yyqRpry9vXHo0CHcvn0b7du3L/Lp51T+5M6QrclChWM4IoP2xx9/oHfv3ujVqxc2btwIExP179wgKq08PDwQFRWF+/fvo2PHjnjw4IHUJVEpwDFHusMrQwZr165dCA4ORs+ePbF69Wre8kxlWoMGDXDw4EEkJyfjnXfewZMnT6QuiajMYjgigxQZGYl3330XXbp0wdq1axmMqFxwd3fHgQMHcOvWLXTq1Il3sZVzSshUz1dTa+GA7CIxHJHBOXLkCLp164b27dtj48aNqFChgtQlEelNkyZNsG/fPly6dAkBAQFIS0uTuiSSiNDwTjXBcFQkhiMyKKdOnUJAQAB8fHywZcsWmJqaSl0Skd55eXlhz549OHPmDLp3747MzEypSyIJaNRq9N9ChWM4IoNx9+5dBAYGolGjRoiIiIC5ubnUJRFJxsfHBzt37sSff/6JMWPGgE+CItIehiMyCOnp6QgKCoKxsTG2bt2KihUrSl0SkeR8fX2xfPly/Pzzz1i8eLHU5ZCe8W413eEoVir1hBAYNmwYLly4gKNHj6qe/kxEwMCBA/H3339j4sSJcHd3h5+fn9QlkZ5o2jXGbrWiMTZSqTdnzhysX78eK1euRLNmzaQuh6jU+fbbb9GxY0f07t0b165dk7ocIoPHcESl2s6dOxEaGoqpU6ciODhY6nKISiVjY2Ns2LABNjY26N69O1JTU6UuifSAz1bTHYYjKrUuXbqEvn37IjAwELNmzZK6HKJSzdraGhEREfj333/Rv39/KBQKqUsiHePdarrDcESl0qNHjxAYGIiaNWtizZo1kMv5o0r0Om5ubtiwYQN27tyJzz//XOpyiAwWB2RTqZOdnY3g4GA8evQIp06dQuXKlaUuichgdO7cGd9++y0++eQTNG7cGH379pW6JNIRDsjWHYYjKnU+/vhjHDp0CPv27UOtWrWkLofI4EyePBl///03hgwZgnr16sHLy0vqkkgHGI50h30VVKqsXLkSCxcuxPfff48OHTpIXQ6RQZLJZPjpp5/QpEkTdO/eHUlJSVKXRGRQGI6o1IiPj8fYsWMxZMgQjB49WupyiAyamZkZ/vjjD2RnZ2P48OGcQbsM4oBs3WE4olJBqVRiyJAhsLOzw/fffw+ZjP9oiTTl6OiI8PBwbN++HevWrZO6HNIyAc1u52dcLhrDEZUKS5YswZEjR/Dzzz+jUqVKUpdDVGYEBQWhX79+GDduHBITE6Uuh7SILUe6w3BEkouPj8eUKVMwevRotG/fXupyiMqcRYsWwcTEBCNGjGD3GlExMByRpPJ2p3377bdSl0NUJlWrVo3da2UQW450h+GIJMXuNCL9YPda2cNwpDsMRyQZdqcR6Re714iKh+GIJGGo3WlCZEIon/GDhQAAQmRDKJ9CCMN4jlne7rW1a9dKXQ5piC1HusMZskkSud1pBw8eNIjuNJH5F0TaMiDreM4KuSNQ8QPAYgBksgrSFkd6J7JvQjwLBzJ2AMgCZBYQ5r0gqzgcMqPqUpf3Snm71/z8/ODg4CB1SaQmIWQQGgQcTfYt6wyu5WjJkiVwcXGBmZkZWrZsiZMnTxa57apVqyCTyfItZmZmeqyWCmNo3Wni+UaIx4OBrDw/a8oEiKdzIB6PhBAvpCuO9E68uAjxsAeQsQ1A1n8rnwPP10I87AGhKP3jeRYtWgRTU1N2rxEVwaDC0caNGzFp0iTMmDEDZ86cgYeHB/z9/XHv3r0i97G0tERiYqJquXXrlh4rppcJITB06FCD6U4TiiSI1Bn/faV8+btA1lHg+QZ9l0USEUJAPJkMiHQAL3elKQDlQ4jUmVKUViJ5u9fWr18vdTmkJk0mgMxdqHAGFY4WLFiAkJAQDB48GA0aNEB4eDgsLCzwyy+/FLmPTCaDvb29arGzs9NjxfSybdu24fDhw/jxxx8NojsN6f977Sbi+Ro9FEKlwotYQHENBYNyLgWQecggWo+CgoLQs2dPhIaGIiMjQ+pySA0cc6Q7BhOOsrKyEBMTAz8/P9U6uVwOPz8/REdHF7nfs2fP4OzsDCcnJ3Tv3h0XLlx45XkyMzORmpqabyHtUCgU+Oyzz9CxY0f4+/tLXU6xiBeXgVdOsi8AxU2DGZBLGsq+UoyNBJB9TeelaMM333yDhIQELF26VOpSiEoVgwlHDx48gEKhKNDyY2dnV+QTp+vXr49ffvkF27Ztw9q1a6FUKtGqVSv8+++/RZ4nLCwMVlZWqsXJyUmrr6M8W716NS5duoSwsDCpSyk+mRle/8/EuBjbUJkgMy3mdoYxtrFevXoYOnQovv76a6SkpEhdDpVQ7oBsTRYqXJl+R/fx8cGAAQPg6ekJX19fbNmyBdWrV8eyZcuK3Cc0NBQpKSmq5c6dO3qsuOzKyMjAjBkz8N5776F58+ZSl1NsMjM/FBxbkpcRYNqRD8otL0zaAjB69TYyK6CCh17K0Ybp06fj+fPnmDdvntSlUAmxW013DCYc2djYwMjICMnJyfnWJycnw97evljHqFChApo2bYpr14pu8jY1NYWlpWW+hTS3dOlSJCQk4Ouvv5a6lJIx7QgYuaDwD0QZAAFZxWH6rYkkIzOyAcyDgVcMZJVVGgmZzER/RWmoRo0aGD9+PBYsWFBkKzyVTmw50h2DCUcmJibw8vJCZGSkap1SqURkZCR8fHyKdQyFQoFz585xXg89S0lJwTfffIOhQ4eiXr16UpdTIjJZBciqrgKMnP9bY/TfIgNgAlmV7yEzMZxWAtKczPIzwLTzf18Z5VkAWAzJWQzMp59+ChMTE3z11VdSl0JUKhjUJJCTJk3CwIED4e3tjRYtWmDhwoVIS0vD4MGDAQADBgxAjRo1VGNaZs2ahTfffBN16tTBkydPMHfuXNy6dQvDhvE3fX2aN28e0tLSMH36dKlLUYvMyBGw2QlkHobIPASITMgqNADMgyCTV5G6PNIzmcwEMuuFEC9CINK3AcpHgJEjZObvQmbsInV5arG2tsaUKVMwbdo0TJw4EbVr15a6JCoGoWHXGFuOimZQ4Sg4OBj379/H9OnTkZSUBE9PT+zZs0c1SPv27duQy/+/Mezx48cICQlBUlISrK2t4eXlhWPHjqFBgwZSvYRyJykpCQsWLMD48eNRo0YNqctRm0xmBJh1gMysg9SlUCkhq9AQsgoNpS5Daz788EMsWrQIn3/+Oec+MhACgCZzeHL6z6LJBKdHfaXU1FRYWVkhJSWF44/UMHbsWKxbtw7Xr1+HtbW11OUQ0SssX74cI0aMQGxsLDw9PaUuxyDp4zMj9xxN/zcJRhbFvIOyEIrnmYh9bwE/3wphMGOOyPDEx8dj2bJlmDJlCoMRkQEYMmQI6tWrh9DQUKlLoWLgDNm6w3BEOjN9+nTY2triww8/lLoUIioGY2NjfP3119izZw+ioqKkLodeg3er6Q7DEelEfHw8fvvtN3z++eewsLCQuhwiKqaePXvCy8uLd65RucZwRDoRHh6OKlWqYODAgVKXQkQlIJPJMGHCBERGRuLKleI8LoWkwkkgdYfhiLQuPT0dv/zyC4YMGQJzc3OpyyGiEnrvvfdgY2OD8PBwqUuhVxBC84UKx3BEWrdp0yY8evQII0eOlLoUIlKDmZkZhg4dipUrVyItLU3qcoj0juGItG7p0qXw9/dHnTp1pC6FiNQ0YsQIpKamYsOGDVKXQkXggGzdYTgirTp9+jROnjyJ0aNHS10KEWnA1dUVXbp0wZIlS8Dp8EonhiPdYTgirfrxxx9Rs2ZNBAQESF0KEWlo9OjRiI2NxcmTJ6UuhQrBAdm6w3BEWvP48WOsX78eI0eOhJFRYU+xJyJD0qlTJ7i6umLp0qVSl0KlyJIlS+Di4gIzMzO0bNnyleH5woUL6NmzJ1xcXCCTybBw4cIC24SFhaF58+aoXLkybG1tERQUJPmdkgxHpDWrVq2CQqHA0KFDpS6FiLRALpdj1KhR2LhxIx48eCB1OfQSKe5W27hxIyZNmoQZM2bgzJkz8PDwgL+/P+7du1fo9s+fP0etWrUwe/Zs2NvbF7rN4cOHMWbMGBw/fhz79+/Hixcv8M4770h6MwDDEWmFUqnE0qVL0atXL9ja2kpdDhFpyeDBgwEAv/zyi8SV0MtyAo4mY45yjpOamppvyczMLPKcCxYsQEhICAYPHowGDRogPDwcFhYWRf58NG/eHHPnzkWfPn1galr4c+D27NmDQYMGoWHDhvDw8MCqVatw+/ZtxMTEaHyN1MVwRFpx4MABXLt2jQOxicoYGxsbBAcHIzw8HAqFQupySAecnJxgZWWlWsLCwgrdLisrCzExMfDz81Otk8vl8PPzQ3R0tNbqSUlJAQBUrVpVa8csKWPJzkxlytKlS9GkSRO0atVK6lKISMtGjx6N1atXY+/evejSpYvU5dB/NL3jLHffO3fuwNLSUrW+qBaeBw8eQKFQwM7OLt96Ozs7XL58We068lIqlZgwYQJat26NRo0aaeWY6mDLEWns0aNH2LFjB4YPHw6ZjHc/EJU1LVq0gIeHB3799VepS6E8hBYWALC0tMy3FBWO9GHMmDE4f/685PNrMRyRxnbt2gWFQoEePXpIXQoR6YBMJsO7776LPXv2ICsrS+pySCI2NjYwMjJCcnJyvvXJyclFDrYuibFjx2LHjh04dOgQ3njjDY2PpwmGI9LY9u3b0bx5czg6OkpdChHpSGBgIFJTU/Hnn39KXQr9R9+TQJqYmMDLywuRkZGqdUqlEpGRkfDx8dHgdQiMHTsWf/zxBw4ePAhXV1e1j6UtDEekkaysLOzevRuBgYFSl0JEOuTh4QEnJydERERIXQrl0la/WglMmjQJP/30E3799VdcunQJo0aNQlpamuquxgEDBiA0NFS1fVZWFuLi4hAXF4esrCzcvXsXcXFxuHbtmmqbMWPGYO3atVi/fj0qV66MpKQkJCUlIT09veQFagkHZJNGDh8+jKdPn6Jbt25Sl0JEOiSTydCtWzdERERg4cKFHF9YGmj6CBA19g0ODsb9+/cxffp0JCUlwdPTE3v27FEN0r59+zbk8v9vd0lISEDTpk1VX8+bNw/z5s2Dr68voqKiAOQ8WQEA2rVrl+9cK1euxKBBg0pcozYwHJFGIiIiULNmTTRp0kTqUohIxwIDA7F06VKcP38ejRs3lrocksjYsWMxduzYQr+XG3hyubi4vPbZfKXx2X3sViO1CSEQERGBwMBA/hZJVA60a9cOlSpVYtdaKSHFDNnlBcMRqe3cuXO4ffs2xxsRlROmpqbo1KkTtm/fLnUpBP0PyC5PGI5IbREREahcuTJ8fX2lLoWI9CQwMBAnTpxAUlKS1KUQ6QzDEaktIiICnTt3homJidSlEJGedOnSBXK5HDt27JC6FBIyzRcqFMMRqSUhIQGnTp1ilxpROVOtWjW0adOG445KAY450h2GI1LLjh07YGRkhM6dO0tdChHpWbdu3bB//348f/5c6lKIdILhiNSya9cutG7dWtKnJhORNAIDA5GRkYFDhw5JXUr5JsEkkOUFwxGp5cSJE3jrrbekLoOIJFC3bl1Ur14dJ0+elLqUco13q+kOwxGVWEJCApKSkuDl5SV1KUQkAZlMBi8vL8TExEhdCpFOMBxRieW+ITIcEZVfueGoNM5uXK6wS00nGI6oxE6fPo3q1avDyclJ6lKISCLe3t5ISkpCQkKC1KWUW+xW0x2GIyqxmJgYeHl58ZEhROVYbssxu9YkxAHZOsNwRCWWG46IqPx64403UL16dYYjKpOMpS6ADAsHYxMRwEHZpYPsv0WT/akwbDmiEuFgbCLKxUHZEmO3ms4wHFGJnD59GjY2NhyMTUTw8vLioGwqkxiOqEQ4GJuIcnFQtsTYcqQzDEdUIjExMfD29pa6DCIqBZycnDgoW0pCpvlChWI4omLjYGwiyouDsqk0mDVrVqEPQU5PT8esWbPUOibDERXb+fPnAQAeHh4SV0JEpYWnpyfOnTsndRnlkhCaL2XBzJkz8ezZswLrnz9/jpkzZ6p1TN7KT8V29+5dADnzmxARATnvB4mJiRBCcCyivmk6bqiMhKOifvbOnj2LqlWrqnVMhiMqtsTERFSrVg0mJiZSl0JEpYSDgwNevHiBhw8fwsbGRupyqByxtraGTCaDTCZDvXr18gUkhUKBZ8+eYeTIkWodm+GIii0hIQGOjo5Sl0FEpUjue0JCQgLDkb5pOqjawAdkL1y4EEIIDBkyBDNnzoSVlZXqeyYmJnBxcYGPj49ax2Y4omJLTEyEg4OD1GUQUSmS+56QmJiIJk2aSFxN+SITOYsm+xuygQMHAgBcXV3RqlUrVKhQQWvHZjiiYktISICbm5vUZRBRKWJvbw8AnAhSChxzBADw9fWFUqnEP//8g3v37kGpVOb7ftu2bUt8TIYjKrbExES0b99e6jKIqBQxNTVFtWrVkJiYKHUpVE4dP34c/fr1w61btwo8ykYmk0GhUJT4mAxHVCxCCHarEVGhHBwc2HIkhXI+5ijXyJEj4e3tjZ07d8LBwUErd00yHFGxPHr0CFlZWRyQTUQFODo6suVICuxWAwBcvXoV//vf/1CnTh2tHZOTQFKx5P5WyJYjInoZW45ISi1btsS1a9e0eky2HFGx5P5WyJYjInqZo6MjoqKipC6j/CnHLUd///236s8ffvghPvroIyQlJaFx48YF7lpT5y5KhiMqltzfCnPvTCEiyuXg4MBZsqVQjsORp6cnZDJZvgHYQ4YMUf0593ulZkB2eno6zM3NtX1YklhiYiKsra1hZmYmdSlEVMo4ODggKysLjx49QrVq1aQuh8qBGzdu6PT4WgtHmZmZWLx4MebOnYukpCRtHZZKiQcPHqB69epSl0FEpZCtrS0A4P79+wxH+lSO71ZzdnbW6fFLFI4yMzPxxRdfYP/+/TAxMcEnn3yCoKAgrFy5ElOnToWRkREmTpyoq1pJQllZWTA1NZW6DCIqhXKft/jixQuJKylfyvsM2bkiIiIKXS+TyWBmZoY6derA1dW1RMcsUTiaPn06li1bBj8/Pxw7dgy9evXC4MGDcfz4cSxYsAC9evWCkZFRiQqg0u3SiavY8v0O7NyyH4+y7+OLd+eix/gu8PBtKHVpJAGhSIR4vgZI3w6I54CRC2QW/QHzQMhkHMJY3mQ8z8Senw9i1fdrAAChXb5C3xG90W3UO7CsVlni6qi8CAoKKjD+CMg/7qhNmzbYunUrrK2ti3XMEt3Kv3nzZqxevRr/+9//sG/fPigUCmRnZ+Ps2bPo06ePXoLRkiVL4OLiAjMzM7Rs2RInT558bc1ubm4wMzND48aNsWvXLp3XWFbsXL4f41p9hj//dxyZmVkQCoHjO05jcvsvsHHONqnLIz0TL85DPAgA0lYCymRAPAWyL0CkToF4PBJCZEldIunRsydpmNB6KpZOWImk6/cBAPf+fYBfv9iIEU0/RvKt+xJXWA4ILSxlwP79+9G8eXPs378fKSkpSElJwf79+9GyZUvs2LEDR44cwcOHDzF58uRiH7NE4ejff/+Fl5cXAKBRo0YwNTXFxIkT9XZ3wsaNGzFp0iTMmDEDZ86cgYeHB/z9/XHv3r1Ctz927Bj69u2LoUOHIjY2FkFBQQgKCsL58+f1Uq8hu3XxDr4f9RMgAEW2EgJKyCCHIjvnmTUrpqzFhWNXJK6S9EWIbIjHo3Jai5D3zo//nmGU9SeQtlyK0kgiSyeuxI3zd3J+M/9v7IqAgFAKPE56jG/6LZS2QCo3xo8fjwULFqBjx46oXLkyKleujI4dO2Lu3Ln4+OOP0bp1ayxcuBD79+8v9jFLFI4UCoWqbxkAjI2NUalSpZIcQiMLFixASEgIBg8ejAYNGiA8PBwWFhb45ZdfCt3++++/R6dOnfDxxx/D3d0dX375JZo1a4bFixfrrWZDtW3JXsiN/j/0CgjI8P9fGxnLsXUxW+HKjcxDOa1FUBaxgYB4vhZCcMxJeZDyIBUH1x2FUpHz8yD776NE/PfzochW4mL0P4g/e1OqEssFGf5/3JFai9QvQEvi4+NhaWlZYL2lpSWuX78OAKhbty4ePHhQ7GOWaJCAEAKDBg1SDczNyMjAyJEjUbFixXzbbdmypSSHLZasrCzExMQgNDRUtU4ul8PPzw/R0dGF7hMdHY1JkyblW+fv74+tW7cWeZ7MzExkZmaqvk5NTdWscAN1/uglVSsRgP9ajv7/n5IiW4lzRy5LURpJQLyIQ87bRXbRGykfAYoEwFi3d5GQ9OLjbkKR/f8tiLnvDeKl8Hwx+h/U9nDRZ2lUDnl5eeHjjz/G6tWrVXdV379/H5988gmaN28OIOcRI05OTsU+ZonC0YABA/J1ob3//vsl2V0jDx48gEKhgJ2dXb71dnZ2uHy58A/ppKSkQrd/1VQDYWFhmDlzpuYFGzgj45fHjxX8HcPImE+fKT+KO56QN2SUB3Kjov7t53+fKPg+QlpVjm/lz+vnn39G9+7d8cYbb6gC0J07d1CrVi1s25YzPvbZs2eYNm1asY9ZonC0atWqkmxukEJDQ/O1NqWmppYobZYVzTt54vrft/I0m8sg8ozeMzKWo0XnplKVR3omM2kNkRb+qi0AozcAIz5epjyo37w2zCqaIiMtp5U9970hb+syZEDTDo2kKK/8KMczZOdVv359XLx4Efv27cM///yjWvf2229DLs8J8kFBQSU6ZonCUc2aNREYGIju3bujffv2MDbW3627NjY2MDIyQnJycr71ycnJRT7Swt7evkTbA4CpqSnn8wHQdeQ7+P27HXihFDkDLiH7/ybz/97/gj7sLF2BpF8mLQBjNyD7KvIPyM4lIKs4DDIZWxPLA/NK5ggc3Qmb50VACKF6b8gdeyQ3ksOnmzccatm96jBEWiOXy9GpUyd06tRJK8crUbpZs2YNIiIiMHr0aNy/fx/+/v4IDAxEQEAAqlSpopWCimJiYgIvLy9ERkaqEqBSqURkZCTGjh1b6D4+Pj6IjIzEhAkTVOv2798PHx8fndZaFtg62WDm1k8xo8ccZGe+gFwhh4CA3EgOmVyGz9aNh3OD8teiVl7JZDLAOhzi0QBAcRs5CVkgpxtNAVgMAMz7SFsk6dXgr/rg7tVE/LX1pGo4mpGREaAE6nrVwuRfRktdYtlXjluOFi1ahOHDh8PMzAyLFi165bbjxo0r8fFl4uVZk4rpwoULiIiIwLZt2xAXF4dWrVohMDAQgYGBqFWrljqHfK2NGzdi4MCBWLZsGVq0aIGFCxdi06ZNuHz5Muzs7DBgwADUqFEDYWFhAHJu5ff19cXs2bMREBCADRs24JtvvsGZM2fQqFHxmntTU1NhZWWFlJSUQkfDl3UPEx9j108HMC/8WySm/ovZ4xcgYPjbsHPmo0TKIyHSgfRdEBm7AJEKGNWGzKIPZCaeUpdGEhBC4MyBv7Fi3q8I3/cdQnzH4YMP+8In0BvGFcrnpKD6+MzIPYfL119DrsHzLpUZGbg5dapBfr65urri9OnTqFat2itnv5bJZKo71kpC7XCUV1JSErZv346IiAgcPHgQrq6u+PbbbxEQEKDpoQvI+/w2T09PLFq0CC1btgQAtGvXDi4uLvnGRm3evBnTpk3DzZs3UbduXcyZMwddunQp9vnKezjKNW7cOBw6dAjnzp2TuhQiKmWio6PRqlUrnDt3rti/eJZVDEdlg1rRvkOHDvD19cWMGTMA5IztCQkJQc+ePdGpUyeEhobmmw9Jm8aOHVtkN1pUVFSBdb169UKvXr10Ukt5YmpqioyMDKnLIKJSKHf6E12971MRynG3WmGysrJw48YN1K5dW+Mx0WqNnoyKisLixYsRFBSEtLQ01foXL14gJiYGPXr0wNtvv61RYVS62NraFjkTORGVb7k3vrw8dQrpGB8fAgB4/vw5hg4dCgsLCzRs2BC3b98GAHz44YeYPXu2WsdU+9aSAwcOICkpCW+++SZu3ryp7mHIQDg4OCA1NTVfGCYiAoCEhASYm5uza4YkERoairNnzyIqKgpmeboZ/fz8sHHjRrWOqXY4cnBwwOHDh9G4cWM0b9680C4tKjscHXPmr0lMTJS4EiIqbRITE+Ho6Ki352xSDo0eHfLfoo6SPAD+woUL6NmzJ1xcXCCTybBw4UKNj/myrVu3YvHixWjTpk2+n8GGDRsiPj6+2MfJS61wlHtyU1NTrF+/HuPHj0enTp2wdOlStYqg0s/BwQFAzm+IRER5JSQkqN4jSI9yZ8jWZCmhkj4A/vnz56hVqxZmz55d5ByDJT3my+7fvw9bW9sC69PS0tQO7GqFo5dvcJs2bRrWrVuH+fPnq1UElX5sOSKiouS2HJGeaWnMUWpqar4l7/NFX1bSB8A3b94cc+fORZ8+fYqcYLmkx3yZt7c3du7cqfo6NxCtWLFC7XkN1RrOfePGDdXD3XL17NkTbm5uOH36tFqFUOlmaWkJc3NzhiMiKiAxMRGNGzeWugxS08uPyJoxYwa++OKLAtup8wD419HGMb/55ht07twZFy9eRHZ2Nr7//ntcvHgRx44dw+HDh9WqS61w5Oxc+FO3GzZsiIYNG6pVCJVuMpkMjo6O7FYjogISEhLYciQBTcYN5e4P5DykNe9g+qJaeNR5APzraOOYbdq0wdmzZxEWFobGjRtj3759aNasGaKjo9UO7eVzClNSi4ODA1uOiCif58+fIyUlhWOOpKCleY4sLS0N+k7DAQMGoH379pgyZQpq166tlWPyKZFUbGw5IqKX5f7CxJajsk+dB8Dr45gmJiYICwtDvXr14OTkhPfffx8rVqzA1atX1aoJYDiiEmDLERG9LPc9gS1HEtD0Nv4StjrlfQB8rtwHwKs78Fkbx1yxYgX++ecf3L59G3PmzEGlSpUwf/58uLm54Y033lCrLnarUbE5OjoyHBFRPmw5kpAEjw+ZNGkSBg4cCG9vb9UD4NPS0jB48GAAKPAA+KysLFy8eFH157t37yIuLg6VKlVCnTp1inXM4rK2tka1atVgbW2NKlWqwNjYuMDNY8XFcETF5uDggCdPniA9PR3m5uZSl0NEpUBCQgLMzMxgZWUldSmkB8HBwbh//z6mT5+uegD8nj17VAOqb9++Dbn8/zulEhIS0LRpU9XX8+bNw7x58+Dr66uaPPp1x3ydzz77DFFRUYiNjYW7uzt8fX0xZcoUtG3bFtbW1mq9Tpl4edIiykcfT1g2FIcOHUKHDh1w6dIluLm5SV0OEZUCH330ESIiIjQa31GW6OMzI/cctaZ+A6M8j8soKUVGBq5//ZnBf77J5XJUr14dEydOxLvvvot69eppfkwt1EXlRJMmTQAAsbGxEldCRKVF7ozGpH9SPT6ktImNjcXUqVNx8uRJtG7dGjVq1EC/fv2wfPly/PPPP2odk+GIiq1atWpwcXFBTEyM1KUQUSmgVCpx5swZeHl5SV0KlWMeHh4YN24ctmzZgvv372PXrl0wMTHBmDFj4O7urtYxOeaISsTLy4vhiIgAAPHx8UhNTWU4IkkJIRAbG4uoqChERUXh6NGjSE1NRZMmTeDr66vWMRmOqES8vLwQFhYGpVKZb9AdEZU/uY+LYjiSiAR3q5VGVatWxbNnz+Dh4QFfX1+EhITgrbfeQpUqVdQ+JsMRlYi3tzeePn2Ka9euaWXQGxEZrpiYGLi4uKBatWpSl1IuaevxIYZu7dq1eOutt7Q6qJy/+lOJNGvWDADYtUZEiImJYasRSS4gIEDrd9sxHFGJcFA2EQEcjF1qCA0WKhK71ajEOCibiDgYuxTgmCOdYcsRlZiXlxfOnDkDpVIpdSlEJJHcX5AYjqgsYjiiEvPy8kJqaiquXbsmdSlEJJHTp0/D2dmZg7ElxEkgdYfhiEos9zdFdq0RlV8xMTHw9vaWuozyTZPxRhx39EoMR1RiHJRNVL5xMDaVdRyQTWrx8fHBoUOHpC6DiCQQFxeH1NRUvPnmm1KXUq5xniPdYcsRqaVr1644c+YM/v33X6lLISI9i4iIgJWVFdq0aSN1KeUbu9V0huGI1NK5c2cYGRlhx44dUpdCRHoWERGBLl26oEKFClKXQqQTDEekFmtra7Rt2xbbt2+XuhQi0qN///0XsbGxCAwMlLoUYsuRzjAckdoCAwMRGRmJZ8+eSV0KEenJ9u3bYWxsjE6dOkldSrnHW/l1h+GI1NatWzdkZmZi//79UpdCRHoSEREBX19fjZ54TlrCliOdYTgitdWuXRsNGjRARESE1KUQkR48ffoUBw8eRLdu3aQuhUinGI5II4GBgdixYwcUCoXUpRCRju3btw9ZWVkMR6UFW450huGINBIYGIgHDx7g+PHjUpdCRDoWERGBRo0aoVatWlKXQuCYI11iOCKNtGjRAra2tuxaIyrjFAoFdu7cybvUqFxgOCKNGBkZoWvXrryln6iMi46OxsOHDxmOShN2q+kMwxFpLDAwEJcuXcLVq1elLoWIdCQiIgJ2dnZo3ry51KXQf9itpjsMR6QxPz8/mJmZYfPmzVKXQkQ6oFQq8b///Q/dunWDXM6PDSr7+FNOGqtYsSL69OmD5cuX8641ojJo3759uHHjBoYMGSJ1KZQXu9V0huGItGL06NG4desWdu/eLXUpRKRlS5cuhaenJ958802pS6G8GI50huGItKJ58+bw9vbG0qVLpS6FiLTo5s2b2LFjB0aPHg2ZTCZ1OUR6wXBEWjN69Gjs2bMH8fHxUpdCRFqyfPlyVK5cGf369ZO6FHqJTAsLFY7hiLQmODgYVapUwbJly6QuhYi0IDMzEytWrMCgQYNQsWJFqcuhl7FbTWcYjkhrLCwsMHjwYPz8889IT0+Xuhwi0tDvv/+O+/fvY9SoUVKXQoXgrfy6w3BEWjVy5Eg8evSIt/UTlQFLly5Fhw4d4ObmJnUpRHrFcERaVbduXbzzzjscmE1k4M6ePYu//voLo0ePlroUKgq71XSG4Yi0bvTo0Thx4gRiYmKkLoWI1PTjjz/C0dGRjwsp7RiMdILhiLQuICAATk5O+PHHH6UuhYjUkJKSgrVr12L48OGoUKGC1OUQ6R3DEWmdsbExRowYgfXr1+Px48dSl0NEJbRmzRpkZGQgJCRE6lLoFTggW3cYjkgnhg0bBoVCgSVLlkhdChGVwIsXL7Bw4UL06NEDjo6OUpdDr8IxRzrDcEQ6YWdnh1GjRmHu3Ll4+PCh1OUQUTGtWLEC169fx/Tp06UuhUgyDEekM5999hmUSiXCwsKkLoWIiiEtLQ2zZs3C+++/j8aNG0tdDr0Gu9V0h+GIdMbW1haTJ0/G4sWLcfv2banLIaLXWLhwIR4+fIhZs2ZJXQoVB7vVdIbhiHRq0qRJsLS0xMyZM6UuhYhe4eHDh5gzZw5GjRoFFxcXqcshkhTDEelU5cqVMW3aNKxatQoXL16Uuhy1CeVjiGc/QfkwGMoHQVCmfA7x4pLUZZFEhMiCSN8O5aOhUD4IhPLxaIiMQxBCKXVpagsLC4NSqcTUqVOlLoWKid1qusNwRDo3YsQI1KxZ02DfdMWLcxD334Z4Ng94EQtkXwTS/wfxsDvEs5+kLo/0TChTIB4GQ6R8BGT9BWRfBjIPQTwZAfF4BITIkrrEErt9+zYWL16MyZMnw9bWVupyqLjYraYzBhOOHj16hP79+8PS0hJVqlTB0KFD8ezZs1fu065dO8hksnzLyJEj9VQx5TI1NcWsWbOwdetWHD9+XOpySkQon0M8GgaIZ8j/TqLI+f6zuRCZhyWpjaQhUqbkBCIAQG5LUc7PA7KOQDydL0VZGpk5cyYsLS0xadIkqUuhkmA40hmDCUf9+/fHhQsXsH//fuzYsQNHjhzB8OHDX7tfSEgIEhMTVcucOXP0UC29rF+/fmjcuDGmTJkCIQzoX2TGDkA8xv9/CL7MCCLtZ31WRBIS2beBzINQhaGCWwDPf4NQvvoXt9Lk4sWLWLVqFaZNm4bKlStLXQ5RqWAsdQHFcenSJezZswenTp2Ct7c3AOCHH35Aly5dMG/evFdOVGZhYQF7e/tinyszMxOZmZmqr1NTU9UvnFSMjIzwzTffoFu3btizZw86d+4sdUnFIrKOIed3iKLCkQLIOgEhlJDJDOZ3DVJX1gm8/tftDODF34BpK31UpLGpU6eiZs2aGDFihNSlUAlpOm6IY46KZhDv5tHR0ahSpYoqGAGAn58f5HI5Tpw48cp9161bBxsbGzRq1AihoaF4/vz5K7cPCwuDlZWVanFyctLKa6CcZ661adMGoaGhUCoNZOBqsQfY8l2mfCiqxehlhvHzffz4cWzduhWzZs2Cqamp1OVQSbFbTWcMIhwlJSUVGCRobGyMqlWrIikpqcj9+vXrh7Vr1+LQoUMIDQ3FmjVr8P7777/yXKGhoUhJSVEtd+7c0cprIEAmk2H27Nk4e/Ys1q5dK3U5xSIzaYZXv4PIAePGkMmM9FUSSalCs2JsZAxUaKjzUjSlVCrx8ccfo3HjxujXr5/U5RCVKpKGoylTphQYMP3ycvny5dcfqAjDhw+Hv78/GjdujP79+2P16tX4448/EB8fX+Q+pqamsLS0zLeQ9rRu3Rp9+vTBxIkTXxlsSw3zHgDMAMiK2EAJWcVB+quHJCWrUA+o4A2gqDAsB8y6Qya31mdZagkPD8fRo0fx3XffwciI4d4QyYTQeFHHkiVL4OLiAjMzM7Rs2RInT5585fabN2+Gm5sbzMzM0LhxY+zatSvf9589e4axY8fijTfegLm5ORo0aIDw8HC1atMWScPRRx99hEuXLr1yqVWrFuzt7XHv3r18+2ZnZ+PRo0clGk/UsmVLAMC1a9e0+jqoZH744QcYGRlh1KhRpX5wtkxuBZn1EgAVkP8D8b8/m38AmAVIUBlJRVZlAWBkj/yB+b8/GzeAzLL0T1lx48YNfPLJJxg5ciQ6duwodTmkLgm61TZu3IhJkyZhxowZOHPmDDw8PODv71/gMzrXsWPH0LdvXwwdOhSxsbEICgpCUFAQzp8/r9pm0qRJ2LNnD9auXYtLly5hwoQJGDt2LCIiIkpeoJbIRGn/dELOgOwGDRrg9OnT8PLyAgDs27cPnTp1wr///lvsJ0f/9ddfaNOmDc6ePYsmTZoUa5/U1FRYWVkhJSWFrUha9Pvvv+O9997DunXrDKJJX2TfhHi+FsjYB4gsoEIjyCq+D5j4QiYrqlWJyiqhTAXSN0E8/x+gfAQYOUJm0QcwD4JMZiZ1ea+kVCrRsWNH3LhxA+fOneMdalqmj8+M3HN4vv81jEzU/3lTZGUgbu1U3LlzJ1+tpqamRY5Ba9myJZo3b47FixcDyPl5cnJywocffogpU6YU2D44OBhpaWnYsWOHat2bb74JT09PVetQo0aNEBwcjM8//1y1jZeXFzp37oyvvvpK7denCYMYc+Tu7o5OnTohJCQEJ0+exF9//YWxY8eiT58+qmB09+5duLm5qZr34uPj8eWXXyImJgY3b95EREQEBgwYgLZt2xY7GJHu9OzZE8HBwfjwww8NontNZuwCueU0yG2PQG53HPKqKyAzbcdgVE7J5JaQVRwGefU9kNudhNxmK2QWfUp9MAJyutOioqLw888/MxgZOG3NkO3k5JTvRqSiHhaelZWFmJgY+Pn5qdbJ5XL4+fkhOjq60H2io6PzbQ8A/v7++bZv1aoVIiIicPfuXQghcOjQIfzzzz945513NLxC6jOIW/mBnLvOxo4di44dO0Iul6Nnz55YtGiR6vsvXrzAlStXVHejmZiY4MCBA1i4cCHS0tLg5OSEnj17Ytq0aVK9BHrJ4sWL0bBhQ4waNQpbtmxh0CDSMXanlTGa3nH2376FtRwV5sGDB1AoFLCzs8u33s7OrsjxwUlJSYVun/eX4h9++AHDhw/HG2+8AWNjY8jlcvz0009o27atOq9KKwwmHFWtWhXr168v8vsuLi75xq84OTnh8GHOXFya2djY4Mcff0TPnj3x22+/GUT3GpGhUiqVGDJkCGxsbDgZLuUj9c1HP/zwA44fP46IiAg4OzvjyJEjGDNmDBwdHQu0OumLwYQjKpveffddVfdahw4dSjTAnoiKL7c77cCBA+xOKyP0PQmkjY0NjIyMkJycnG99cnJyke/d9vb2r9w+PT0dn332Gf744w8EBOTc3NKkSRPExcVh3rx5koUjgxhzRGXb4sWLYWxsbBB3rxEZInanlVF6vlvNxMQEXl5eiIyMVK1TKpWIjIyEj49Pofv4+Pjk2x4A9u/fr9r+xYsXePHiBeTy/HHEyMhI0smCGY5Icrnda1u3bsVvv/0mdTlEZQq708oubQ3ILolJkybhp59+wq+//opLly5h1KhRSEtLw+DBgwEAAwYMQGhoqGr78ePHY8+ePZg/fz4uX76ML774AqdPn8bYsWMB5HTp+fr64uOPP0ZUVBRu3LiBVatWYfXq1ejRo4dWrpM62K1GpcK7776LPn36sHuNSMtyu9MiIyPZnUYaCw4Oxv379zF9+nQkJSXB09MTe/bsUQ26vn37dr5WoFatWmH9+vWYNm0aPvvsM9StWxdbt25Fo0aNVNts2LABoaGh6N+/Px49egRnZ2d8/fXXGDlypN5fXy6DmOdISpznSH8ePHiAhg0bomnTpti5cydn7SXS0Llz5+Dj44MPPvgAP/74o9TllAv6nOfIq7fm8xzFbJrKz7dCsFuNSg0bGxusW7cOBw4cKHQyMSIqvgcPHqB79+6oU6cO5s2bJ3U5pCP67FIrTxiOqFTx8/PD/PnzMW/ePKxevVrqcogM0osXL9CrVy88e/YM27ZtQ8WKFaUuicigcMwRlTrjxo3D33//jZCQENSrVw9vvvmm1CURGZQJEybg6NGjOHjwIJydnaUuh3RFiJxFk/2pUGw5olJHJpNh6dKl8Pb2Ro8ePXD37l2pSyIyGMuWLcPSpUuxdOlSvPXWW1KXQzokxd1q5QXDEZVKpqam2LJlC4yNjdGjRw+kp6dLXRJRqXfkyBGMHTsWY8eORUhIiNTlEBkshiMqtezs7LBt2zacP38eISEhnCCS6BVu3ryJnj174q233sKCBQukLof0Qc+TQJYnDEdUqjVr1gwrV67EunXrMHfuXKnLISqVnj17hu7du6Ny5crYvHkzKlSoIHVJpAcypeYLFY4DsqnUCw4Oxrlz5zBlyhQ0bNhQ9fwdIsqZAXvAgAG4fv06oqOjUa1aNalLIjJ4bDkigzBr1iwEBgaib9++uHTpktTlEJUas2bNwtatW7Fu3bp8sw5TOcBuNZ1hOCKDIJfLsWbNGtSsWRNdu3ZFQkKC1CURSW7NmjWYOXMmvvzySwQGBkpdDukZ71bTHYYjMhiVK1fGjh07kJWVhY4dO+LevXtSl0QkmU2bNmHQoEEYOnQoPvvsM6nLISnkznOkyUKFYjgig+Li4oKDBw/iyZMn8PPzw8OHD6UuiUjvtm3bhn79+qFv375YtmwZZDKZ1CURlSkMR2Rw6tati8jISCQmJsLf3x9PnjyRuiQivdm9ezd69eqFHj16YNWqVXxAcznGbjXdYTgig9SgQQMcOHAA169fR+fOnfH06VOpSyLSuYMHD+Ldd99Fp06dsH79ehgb84bjco0DsnWG4YgMloeHB/bt24eLFy+iU6dOSElJkbokIp05cOAAunbtirZt22LTpk2cy4hIhxiOyKB5e3tj//79uHjxIvz8/PDo0SOpSyLSup07d6Jr165o3749tm7dCjMzM6lLolKA3Wq6w3BEBq9FixY4dOgQbty4gQ4dOuD+/ftSl0SkNX/88Qd69OiBzp07Y8uWLTA3N5e6JCoteLeazjAcUZng6emJw4cPIykpCe3atUNiYqLUJRFpbMOGDejVqxfeffddbNq0CaamplKXRFQuMBxRmdGwYUMcOXIEKSkp8PX1RXx8vNQlEantp59+Qv/+/dG/f3+sW7eOY4yoAHar6Q7DEZUp9erVw5EjRwDkdLdFRkZKXBFRyWRnZ2PcuHEYPnw4Ro0ahZUrV/J2fSoc71bTGYYjKnNq1aqFEydOwMvLC/7+/li8eDEE+9bJADx69AidOnXCjz/+iKVLl2Lx4sWQy/k2TaRv/FdHZZK1tTV27dqFcePG4cMPP8Tw4cORlZUldVlERbpw4QJatGiBuLg47Nu3D6NGjZK6JCrl2K2mOwxHVGYZGxtjwYIF+OWXX7B69Wo+j41Kre3bt8PHxwfm5uY4deoU2rdvL3VJZAiUQvOFCsVwRGXe4MGDcejQIVy9ehXNmzdHXFyc1CURAQCEEAgLC0P37t3RsWNHHDt2DK6urlKXRYaCY450huGIyoVWrVrh1KlTsLGxQevWrbF582apS6Jy7vnz5+jXrx8+++wzTJs2Db///jsqV64sdVlEBIYjKkecnJzw559/IjAwEL1798b06dOhVCqlLovKoX///Rdt27bFtm3bsGnTJsyaNYsDr6nEZNBwzJHUL6AU41MLqVyxsLDA+vXr0aRJE0ydOhXnzp3DqlWrYGVlJXVpVE4cPXoU7733HkxMTPDXX3+hadOmUpdEhkrTWa55F2+R+KsKlTsymQyhoaHYtm0bIiMj0ahRI+zZs0fqsqiMS09Px8cffwxfX1/UrVsXp06dYjAiKqUYjqjc6tatG86fPw93d3d07twZQ4cORUpKitRlURkUHR2Npk2bYtGiRfjmm29w6NAh2NnZSV0WGTjeyq87DEdUrtWsWRN79+7F8uXLsXnzZrYikVbltha1adMGVlZWiI2NxaeffgpjY45oIC3g3Wo6w3BE5Z5MJkNISAhbkUirXm4t+uuvv9CgQQOpyyKiYmA4IvoPW5FIG9haRPoiE0LjhQrHcESUB1uRSBO5rUU//PADwsLC2FpEuqXUwkKFYjgiKgRbkagkCmst+uSTT9haRGSgGI6IilBYK1Lnzp35+BFSyc7OxooVK1C3bt18rUXu7u5Sl0blALvVdIfhiOg1cluRNm/ejOvXr6Np06bo168f4uPjpS6NJCKEwO+//45GjRohJCQEbdu2xYULF9haRPrFu9V0huGIqBhkMhnee+89XLhwAcuXL8fhw4fh5uaGsWPHIikpSerySI8OHjyIli1b4r333oOrqyvOnDmD9evXo3bt2lKXRuVN7gzZmixUKIYjohIwNjZGSEgIrl69iq+++grr1q1DnTp18Pnnn3PQdhl35swZ+Pv7o2PHjpDJZDh06BB2797NWa6JyiCGIyI1WFhY4NNPP8X169cxduxYzJs3D7Vr18aCBQuQkZEhdXmkRdeuXUOfPn3g5eWF27dvY8uWLTh+/DjatWsndWlUznGGbN1hOCLSgLW1NWbPno1r166hZ8+e+OSTT1C/fn2sWrUK2dnZUpdHGkhMTMSoUaPg7u6Oo0ePYsWKFTh37hx69OgBmYzPM6dSgN1qOsNwRKQFNWrUwLJly3DhwgW0aNECgwcPRq1atfD1118jOTlZ6vKomIQQ+Ouvv9C/f384Oztj48aNCAsLw9WrVzF06FAOtiYqJxiOiLSofv362Lx5M86cOYN33nkHX3/9NZycnNC3b1/8+eefEPxNrVR69uwZli1bBk9PT7Rp0wYnT57E7Nmzcf36dUyePBnm5uZSl0hUgEyp+UKFYzgi0oGmTZtixYoVuHv3LubMmYOYmBi0bdsWHh4eCA8Px9OnT6UukQBcvHgRH374IRwdHTF69Gi4urpi7969uHLlCiZNmoQqVapIXSJR0ditpjMMR0Q6ZG1tjQkTJuDy5cvYv38/6tSpgzFjxqBGjRoYO3YsLly4IHWJ5c6LFy+wefNmtG/fHg0bNsSmTZswbtw43LhxA1u3bsU777wDuZxvjUTlGd8BiPRALpfDz88PW7Zswc2bNzFhwgT873//Q6NGjdCuXTts2rSJd7np2O3bt/HFF1/A2dkZvXv3hkKhwG+//YY7d+7gq6++Qs2aNaUukahkOAmkzjAcEemZk5MTZs2ahdu3b2PDhg0QQiA4OBjVqlVDjx49sHLlSty7d0/qMg2eEAJnzpzBF198gWbNmsHZ2Rnz589HUFAQ/v77bxw5cgR9+vSBiYmJ1KUSqYWPD9Ed3npBJBETExMEBwcjODgYly9fxrZt2xAREYGhQ4cCAHx8fNCtWzcEBgbC3d2dt48XQ0ZGBg4dOoSIiAhs374dd+/ehZWVFbp06YJPPvkEXbp0gaWlpdRlElEpJxO8feaVUlNTYWVlhZSUFL6pkl7cu3cPO3fuxPbt27F37148f/4ctWvXRmBgILp164Y2bdqgQoUKUpdZaty/fz/f9UpLS4Orqyu6d++Obt264a233uL1Ir3Rx2dG7jnae4XC2NhM7eNkZ2fgUEwYP98KwW41olLG1tYWgwcPxpYtW/Dw4UPs3LkTfn5+2LhxIzp06ABbW1v0798fq1atwvnz5/U62aRSqcTpfWexICQcX/f9Dqumb8C92/f1dn4ASElJQVRUFMLCwtCmTRvY2dlhyJAhSEhIwNSpU3H+/HnEx8fju+++Q4cOHRiMqOwSAJQaLGo2jSxZsgQuLi4wMzNDy5YtcfLkyVduv3nzZri5ucHMzAyNGzfGrl27Cmxz6dIlBAYGwsrKChUrVkTz5s1x+/Zt9QrUArYcvQZbjqi0UCqVOHPmDLZv345t27bh7NmzAABzc3N4enrC29sbXl5e8PLygpubm9YnLEx99BTTAsJw6cRVGBnLIZQCkMkghEDI7PfRa3KgVs8H5ASh2NhYnD59GjExMYiJicHVq1cB5DzC5e2330ZgYCACAgJgZ2en9fMTlZQ+W446NJ0CYyMNWo4UGTgYO7tEtW7cuBEDBgxAeHg4WrZsiYULF2Lz5s24cuUKbG1tC2x/7NgxtG3bFmFhYejatSvWr1+Pb7/9FmfOnEGjRo0AAPHx8WjRogWGDh2Kvn37wtLSEhcuXMCbb75Z6DH1wWDC0ddff42dO3ciLi4OJiYmePLkyWv3EUJgxowZ+Omnn/DkyRO0bt0aP/74I+rWrVvs8zIcUWmVGxxyQ8Pp06dVwcHc3BxNmzZVhSVtBKbJHWbg3J+XoVQUPnPc1N8moF1wa7WPn5qaijNnzqhey8tByNPTU6uvh0gXyno4atmyJZo3b47FixcDyPmlzcnJCR9++CGmTJlSYPvg4GCkpaVhx44dqnVvvvkmPD09ER4eDgDo06cPKlSogDVr1qj9WrTNYN5ZsrKy0KtXL/j4+ODnn38u1j5z5szBokWL8Ouvv8LV1RWff/45/P39cfHiRZiZqf8DRVQaWFlZoV27dvkegPpyYNqzZw9++OEHADkBw9nZGY6OjnBwcFD9/+U/V6xYscC5rpy6hrNRF4usRSaXYd3Xv8O3d6sCA8eVSiUePnyIxMREJCYmIiEhocCf7969q2pCzw1CnTp1wtSpUxmEiIoioNlEjv/tmpqamm+1qakpTE1NC2yelZWFmJgYhIaGqtblTlMSHR1d6Cmio6MxadKkfOv8/f2xdetWADnvDzt37sQnn3wCf39/xMbGwtXVFaGhoQgKClL/tWnIYN5tZs6cCQBYtWpVsbYXQmDhwoWYNm0aunfvDgBYvXo17OzssHXrVvTp06fQ/TIzM5GZman6+uUfGqLS7FWB6cyZM7h9+zYSEhJw8+ZNREdHIyEhAenp6fmOYWlpmS8wWVhYID72JuJlNwGlDDn/ySEDIP77T6lQ4tK5Mxj0wSMYmxrh0aNHqvCTlJSEFy9e5DtHtWrVVMevV68efH194ebmxiBEVBKaznL9375OTk75Vs+YMQNffPFFgc0fPHgAhUJRoAvbzs4Oly9fLvQUSUlJhW6flJQEIOcGlGfPnmH27Nn46quv8O2332LPnj149913cejQIfj6+qr76jRSZt+Bbty4gaSkJPj5+anWWVlZoWXLloiOji4yHIWFhamCGFFZUFhgyiWEQGpqaqGtObktOunp6Uj69x4eiccQUKoCkYDIE5Ry/os9GwuLiuawtrZGw4YN4efnly9oOTo6ws7OrtDfSolIGnfu3MnXrabPf59KZU43fffu3TFx4kQAgKenJ44dO4bw8HCGI23LTaWvSqyFCQ0NzdcEmJqaWiBVE5UVMpkMVlZWsLKygru7e5HbHVz/J8LeXwS8YqolC0tzbD61AiZmnFSRSC+UeOW/yWLtj5zW4uKMObKxsYGRkRGSk5PzrU9OToa9vX2h+9jb279yexsbGxgbG6NBgwb5tnF3d8fRo0eL+0q0TtJb+adMmQKZTPbKpaimOl0xNTVV/aAU9weGqKxr825LVLauBJm88HdiuZEcXYb5MRgR6ZG+Z8g2MTGBl5cXIiMjVeuUSiUiIyPh4+NT6D4+Pj75tgeA/fv3q7Y3MTFB8+bNceXKlXzb/PPPP3B2di5RfdokacvRRx99hEGDBr1ym1q1aql17NxUmpycDAcHB9X65ORkeHp6qnVMovLKxMwEUzdMwLRusyGUSiiy//+ONZlchlpNnPHBjF4SVkhE+jBp0iQMHDgQ3t7eaNGiBRYuXIi0tDQMHjwYADBgwADUqFEDYWFhAIDx48fD19cX8+fPR0BAADZs2IDTp09j+fLlqmN+/PHHCA4ORtu2bdG+fXvs2bMH27dvR1RUlBQvEYDE4ah69eqoXr26To7t6uoKe3t7REZGqsJQamoqTpw4gVGjRunknERlmdfbHlh8Igwbv92KI78fh+KFAlUdrBE4yh/vTgyAeUXeAUqkV1oakF0SwcHBuH//PqZPn46kpCR4enpiz549qiEst2/fhlz+/51SrVq1wvr16zFt2jR89tlnqFu3LrZu3aqa4wgAevTogfDwcISFhWHcuHGoX78+fv/9d7Rp00b916Yhg5nn6Pbt23j06BEiIiIwd+5c/PnnnwCAOnXqoFKlSgAANzc3hIWFoUePHgCAb7/9FrNnz853K//ff/9dolv5Oc8RUUFKpRLZWdnsRiN6iT7nOerYYDKMjdQfPJ2tyETkxXn8fCuEwQzInj59On799VfV102bNgUAHDp0SHUXzpUrV5CSkqLa5pNPPkFaWhqGDx+OJ0+eoE2bNtizZw/nOCLSkFwuZzAiojLLYFqOpMKWIyIiKi69thy5f6R5y9Gl+fx8K4TBtBwRERFRHlq6lZ8KYjgiIiIyQOrcjv/y/lQ4Sec5IiIiIipt2HJERERkiCS4lb+8YDgiIiIyREoByDQIOEqGo6KwW42IiIgoD7YcERERGSJ2q+kMwxEREZFB0jAcgeGoKOxWIyIiIsqDLUdERESGiN1qOsNwREREZIiUAhp1jfFutSKxW42IiIgoD7YcERERGSKhzFk02Z8KxXBERERkiDjmSGcYjoiIiAwRxxzpDMccEREREeXBliMiIiJDxG41nWE4IiIiMkQCGoYjrVVS5rBbjYiIiCgPthwREREZInar6QzDERERkSFSKgFoMFeRkvMcFYXdakRERER5sOWIiIjIELFbTWcYjoiIiAwRw5HOsFuNiIiIKA+2HBERERkiPj5EZxiOiIiIDJAQSgih/h1nmuxb1jEcERERGSIhNGv94ZijInHMEREREVEebDkiIiIyRELDMUdsOSoSwxEREZEhUioBmQbjhjjmqEjsViMiIiLKgy1HREREhojdajrDcERERGSAhFIJoUG3Gm/lLxq71YiIiIjyYMsRERGRIWK3ms4wHBERERkipQBkDEe6wG41IiIiojzYckRERGSIhACgyTxHbDkqCsMRERGRARJKAaFBt5pgOCoSwxEREZEhEkpo1nLEW/mLwjFHRERERHmw5YiIiMgAsVtNdxiOiIiIDBG71XSG4eg1cpN1amqqxJUQEVFpl/tZoY9WmWy80GgOyGy80F4xZQzD0Ws8fPgQAODk5CRxJUREZCgePnwIKysrnRzbxMQE9vb2OJq0S+Nj2dvbw8TERAtVlS0ywU7HV3ry5Amsra1x+/Ztnf2gG4LU1FQ4OTnhzp07sLS0lLocyfA65OB1yMHr8P94LXKkpKSgZs2aePz4MapUqaKz82RkZCArK0vj45iYmMDMzEwLFZUtbDl6Dbk854Y+Kyurcv0PPpelpSWvA3gdcvE65OB1+H+8FjlyPzt0xczMjKFGh3grPxEREVEeDEdEREREeTAcvYapqSlmzJgBU1NTqUuRFK9DDl6HHLwOOXgd/h+vRQ5eh7KBA7KJiIiI8mDLEREREVEeDEdEREREeTAcEREREeXBcERERESUB8NRIb7++mu0atUKFhYWxZ7hdNCgQZDJZPmWTp066bZQHVPnOgghMH36dDg4OMDc3Bx+fn64evWqbgvVsUePHqF///6wtLRElSpVMHToUDx79uyV+7Rr167Az8PIkSP1VLF2LFmyBC4uLjAzM0PLli1x8uTJV26/efNmuLm5wczMDI0bN8auXZo/2qA0KMl1WLVqVYG/97IwUd+RI0fQrVs3ODo6QiaTYevWra/dJyoqCs2aNYOpqSnq1KmDVatW6bxOXSvpdYiKiirw8yCTyZCUlKSfgkltDEeFyMrKQq9evTBq1KgS7depUyckJiaqlt9++01HFeqHOtdhzpw5WLRoEcLDw3HixAlUrFgR/v7+yMjI0GGlutW/f39cuHAB+/fvx44dO3DkyBEMHz78tfuFhITk+3mYM2eOHqrVjo0bN2LSpEmYMWMGzpw5Aw8PD/j7++PevXuFbn/s2DH07dsXQ4cORWxsLIKCghAUFITz58/ruXLtKul1AHJmiM77937r1i09VqwbaWlp8PDwwJIlS4q1/Y0bNxAQEID27dsjLi4OEyZMwLBhw7B3714dV6pbJb0Oua5cuZLvZ8LW1lZHFZLWCCrSypUrhZWVVbG2HThwoOjevbtO65FKca+DUqkU9vb2Yu7cuap1T548EaampuK3337TYYW6c/HiRQFAnDp1SrVu9+7dQiaTibt37xa5n6+vrxg/frweKtSNFi1aiDFjxqi+VigUwtHRUYSFhRW6fe/evUVAQEC+dS1bthQjRozQaZ26VtLrUJL3DEMFQPzxxx+v3OaTTz4RDRs2zLcuODhY+Pv767Ay/SrOdTh06JAAIB4/fqyXmkh72HKkRVFRUbC1tUX9+vUxatQoPHz4UOqS9OrGjRtISkqCn5+fap2VlRVatmyJ6OhoCStTX3R0NKpUqQJvb2/VOj8/P8jlcpw4ceKV+65btw42NjZo1KgRQkND8fz5c12XqxVZWVmIiYnJ9/col8vh5+dX5N9jdHR0vu0BwN/f32D/3gH1rgMAPHv2DM7OznByckL37t1x4cIFfZRbqpTFnwdNeHp6wsHBAW+//Tb++usvqcuhYuCDZ7WkU6dOePfdd+Hq6or4+Hh89tln6Ny5M6Kjo2FkZCR1eXqR249uZ2eXb72dnZ3B9rEnJSUVaAI3NjZG1apVX/ma+vXrB2dnZzg6OuLvv//Gp59+iitXrmDLli26LlljDx48gEKhKPTv8fLly4Xuk5SUVKb+3gH1rkP9+vXxyy+/oEmTJkhJScG8efPQqlUrXLhwAW+88YY+yi4Vivp5SE1NRXp6OszNzSWqTL8cHBwQHh4Ob29vZGZmYsWKFWjXrh1OnDiBZs2aSV0evUK5CUdTpkzBt99++8ptLl26BDc3N7WO36dPH9WfGzdujCZNmqB27dqIiopCx44d1TqmLuj6OhiK4l4HdeUdk9S4cWM4ODigY8eOiI+PR+3atdU+LpVuPj4+8PHxUX3dqlUruLu7Y9myZfjyyy8lrIykUL9+fdSvX1/1datWrRAfH4/vvvsOa9askbAyep1yE44++ugjDBo06JXb1KpVS2vnq1WrFmxsbHDt2rVSFY50eR3s7e0BAMnJyXBwcFCtT05Ohqenp1rH1JXiXgd7e/sCg2+zs7Px6NEj1estjpYtWwIArl27VurDkY2NDYyMjJCcnJxvfXJycpGv2d7evkTbGwJ1rsPLKlSogKZNm+LatWu6KLHUKurnwdLSsty0GhWlRYsWOHr0qNRl0GuUm3BUvXp1VK9eXW/n+/fff/Hw4cN8IaE00OV1cHV1hb29PSIjI1VhKDU1FSdOnCjxnX+6Vtzr4OPjgydPniAmJgZeXl4AgIMHD0KpVKoCT3HExcUBQKn7eSiMiYkJvLy8EBkZiaCgIACAUqlEZGQkxo4dW+g+Pj4+iIyMxIQJE1Tr9u/fn68VxdCocx1eplAocO7cOXTp0kWHlZY+Pj4+BaZyMPSfB22Ji4sziPeBck/qEeGl0a1bt0RsbKyYOXOmqFSpkoiNjRWxsbHi6dOnqm3q168vtmzZIoQQ4unTp2Ly5MkiOjpa3LhxQxw4cEA0a9ZM1K1bV2RkZEj1MjRW0usghBCzZ88WVapUEdu2bRN///236N69u3B1dRXp6elSvASt6NSpk2jatKk4ceKEOHr0qKhbt67o27ev6vv//vuvqF+/vjhx4oQQQohr166JWbNmidOnT4sbN26Ibdu2iVq1aom2bdtK9RJKbMOGDcLU1FSsWrVKXLx4UQwfPlxUqVJFJCUlCSGE+OCDD8SUKVNU2//111/C2NhYzJs3T1y6dEnMmDFDVKhQQZw7d06ql6AVJb0OM2fOFHv37hXx8fEiJiZG9OnTR5iZmYkLFy5I9RK04unTp6p//wDEggULRGxsrLh165YQQogpU6aIDz74QLX99evXhYWFhfj444/FpUuXxJIlS4SRkZHYs2ePVC9BK0p6Hb777juxdetWcfXqVXHu3Dkxfvx4IZfLxYEDB6R6CVRMDEeFGDhwoABQYDl06JBqGwBi5cqVQgghnj9/Lt555x1RvXp1UaFCBeHs7CxCQkJUb6CGqqTXQYic2/k///xzYWdnJ0xNTUXHjh3FlStX9F+8Fj18+FD07dtXVKpUSVhaWorBgwfnC4g3btzId11u374t2rZtK6pWrSpMTU1FnTp1xMcffyxSUlIkegXq+eGHH0TNmjWFiYmJaNGihTh+/Ljqe76+vmLgwIH5tt+0aZOoV6+eMDExEQ0bNhQ7d+7Uc8W6UZLrMGHCBNW2dnZ2okuXLuLMmTMSVK1dubekv7zkvvaBAwcKX1/fAvt4enoKExMTUatWrXzvE4aqpNfh22+/FbVr1xZmZmaiatWqol27duLgwYPSFE8lIhNCCL01UxERERGVcpzniIiIiCgPhiMiIiKiPBiOiIiIiPJgOCIiIiLKg+GIiIiIKA+GIyIiIqI8GI6IiIiI8mA4IiIiIsqD4YiIiIgoD4YjIiqxX3/9FW3atAEAtGvXDjKZDDKZDGZmZqhXrx7CwsLAyfeJyFAxHBFRiW3btg2BgYGqr0NCQpCYmIgrV64gNDQU06dPR3h4uIQVEhGpj+GIiFRWr16NatWqITMzM9/6oKAgfPDBBwCAjIwM7Nu3L184srCwgL29PZydnTF48GA0adIE+/fv12vtRETawnBERCq9evWCQqFARESEat29e/ewc+dODBkyBAAQGRmJGjVqwM3NrcD+Qgj8+eefuHz5MkxMTPRWNxGRNjEcEZGKubk5+vXrh5UrV6rWrV27FjVr1kS7du0AFOxSA4ClS5eiUqVKMDU1Rdu2baFUKjFu3Dh9lk5EpDUMR0SUT0hICPbt24e7d+8CAFatWoVBgwZBJpNBCIHt27cXCEf9+/dHXFwc/vrrL3Tu3BlTp05Fq1atpCifiEhjxlIXQESlS9OmTeHh4YHVq1fjnXfewYULF7Bz504AwMmTJ5GdnV0g+FhZWaFOnToAgE2bNqFOnTp488034efnp/f6iYg0xXBERAUMGzYMCxcuxN27d+Hn5wcnJycAOV1qAQEBMDIyKnLfSpUqYfz48Zg8eTJiY2Mhk8n0VTYRkVawW42ICujXrx/+/fdf/PTTT6qB2AAQERFRoEutMCNGjMA///yD33//XZdlEhHpBMMRERVgZWWFnj17olKlSggKCgIAxMfH49q1a/D393/t/lWrVsWAAQPwxRdfQKlU6rhaIiLtYrcaERXq7t276N+/P0xNTQHkdKl16NABFStWzLddVFRUoftzEkgiMlQMR0SUz+PHjxEVFYWoqCgsXbpUtf6NN95AaGiohJUREemHTPABSESUh4uLCx4/fozPP/8ckydPlrocIiK9YzgiIiIiyoMDsomIiIjyYDgiIiIiyoPhiIiIiCgPhiMiIiKiPBiOiIiIiPJgOCIiIiLKg+GIiIiIKA+GIyIiIqI8/g9wG7Ywcg50vQAAAABJRU5ErkJggg==\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for n in [4,7,9,21]:\n", " plot_rotor_avg_model(CGIRotorAvg(n), 'CGIRotorAvg_%d'%n)" ] }, { "cell_type": "markdown", "id": "8455e9a6", "metadata": {}, "source": [ "### AreaOverlapModel\n", "The AreaOverlapModel calculates the fraction of the downstream rotor that is covered by the wake from an upstream wind turbine. This model makes sense for tophat wake deficit models only, e.g. NOJDeficit.\n", "\n", "\n", "The calculation formula can be found in Eq. (A1) of Feng, J., & Shen, W. Z. (2015). Solving the wind farm layout optimization problem using random search algorithm. Renewable Energy, 78, 182-192. https://doi.org/10.1016/j.renene.2015.01.005\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "8599471c", "metadata": {}, "source": [ "### GaussianOverlapAvgModel\n", "\n", "The GaussianOverlapModel computes the integral of the gaussian wake deficit over the downstream rotor. To speed up the computation, normalized integrals have been precalculated and stored in a look-up table. This model need the gaussian width parameter, $\\sigma$, and therefore only applies to gaussian wake deficit models. \n", "See Appendix A in https://github.com/OrstedRD/TurbOPark/blob/main/TurbOPark%20description.pdf\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "ff7a9d5c", "metadata": {}, "source": [ "### Comparing rotor-average models\n", "In general, the compuational cost and the accuracy of the estimate increases with the number of points, but the distribution of the points also has an impact.\n", "\n", "The plot below shows the absolute error of the estimated rotor-average wind speed for the wind directions \n", "270 $\\pm$ 30$^\\circ$ (i.e. wind directions with more than 1% deficit) for a number of different rotor-average models." ] }, { "cell_type": "code", "execution_count": 16, "id": "9adcaca0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid_models = [EqGridRotorAvg(i) for i in range(1,10)]\n", "wd_lst = np.arange(240,301)\n", "\n", "def get_ws_eff(rotorAvgModel):\n", " wfm = BastankhahGaussian(site,windTurbines,rotorAvgModel=rotorAvgModel)\n", " return wfm([0, 200], [0, 0], wd=wd_lst, ws=10).WS_eff_ilk[1,:,0]\n", "\n", "ws_ref = get_ws_eff(EqGridRotorAvg(200)) # Use 200x200 points (31700 inside the rotor) to determine the reference value\n", "\n", "def get_n_err(rotorAvgModel):\n", " ws_mean_err = np.abs(get_ws_eff(rotorAvgModel) - ws_ref).mean()\n", " return len(rotorAvgModel.nodes_x), ws_mean_err\n", "\n", "\n", "plt.gca().axhline(0, color='grey',ls='--')\n", "plt.plot(*zip(*[get_n_err(m) for m in grid_models]), label='Grid_x')\n", "model_lst = [('RotorCenter', EqGridRotorAvg(1)),\n", " ('Grid_4', EqGridRotorAvg(4)),\n", " ('PolarGrid_4,10', PolarRotorAvg(*polar_gauss_quadrature(4,10))),\n", " ('GQGrid_4,3', GQGridRotorAvg(4, 3))] + \\\n", " [('CGI_%d'%n, CGIRotorAvg(n)) for n in [4,7,9,21]]\n", "for name, model in model_lst:\n", " n,err = get_n_err(model)\n", " plt.plot(n,err,'.',ms=10, label=\"%s (%.4f)\"%(name,err))\n", "goam_err = np.abs(get_ws_eff(GaussianOverlapAvgModel()) - ws_ref).mean()\n", "plt.plot([0],[goam_err],'.', ms=10, label=\"GaussianOverlapAvgModel (%.4f)\"%(goam_err))\n", "plt.xlabel('Number of rotor-average points')\n", "plt.ylabel(r'Mean abs error (270$\\pm30^\\circ$) [m/s]')\n", "plt.legend()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }