{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "standing-playlist", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import random\n", "\n", "\n", "\n", "from FEM import *\n", "from octotruss import *\n", "from Dataset import *" ] }, { "cell_type": "markdown", "id": "green-observation", "metadata": {}, "source": [ "# Initialize mesh" ] }, { "cell_type": "code", "execution_count": 2, "id": "sharp-triangle", "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Elements : 688\n", "Nodes : 163\n" ] }, { "data": { "image/png": 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Nmj9/Pp05c4bq1q1Ls2bNInt7e7p06RIjtaWkpNCjR49o4sSJlJycTE+ePGFEN47TIhKJKDk5mYiI1RWZm5vT4MGDVQKGjo4OFRUVUdOmTWnw4MFka2tL8fHxtG/fPtZJDgBpa2tTZGQk/fTTTySTyaioqIgyMjIoISGBdHV1ydDQkAwNDVnzqIsXL9L06dPJ2tqazpw5Q927d6fevXtT3bp1ae7cubRjxw4aPXo0PXz4kKRS6Z/+3RQtSEX+Cxc8V08PUMsfkb8MKKq4JZW+mFDINin33ISEBHr79i21adOGtLS02GMcoPzyyy8kEolo6NChDJC6d+9Oe/fupZYtW9L9+/epbt26tGrVKkpISKC4uDji8XjUrFkz2r59O8XHx5OPjw+9ePGCPDw8CABdvnyZjh07ppJQV94lISqL6TRr1oyGDBnC0tJXrlyh48ePU1hYGEv/AqDt27fT7t27qV69evTs2TP6+uuvaceOHVRYWEhFRUU0Z84c2rp1K0kkErKysqLS0lLKz8+nnJwcevnyJZWWltKVK1do9+7d1KpVKzp9+jQFBgZSbm4ujRgxgoiIFi9eTMePH6fU1FRavHgx7d+//0/9duXBQZV79P79e3ajUJcHqOWTAqAqrVJKSkqQkpKC7OxsFBUVobi4mKm3t7fS38XFxXjx4gUiIyNRXFyMvLw8+Pv748mTJ/Dy8qrw/OfPnyM6OhomJiYYOHAgiouLkZGRgevXryMmJgYjR46ElpYWOnbsCJFIhJ49e4LKXDSIRCL2/0+pkZERGjRoAAMDgwqPCQQCdk5qairkcjnkcjlyc3NhZWWF7t27s2M5OTmYOHEiiAjDhg1Dp06dYGNjg9zcXDg4OCitu2bNGkRHR7PncpqdnY1x48aBiNCtWze4u7vD398fXbp0gbGxMbKzs9m5Bw4cYOsdP368wlqf0uTkZDx69EjpWE5ODkJCQlC/fn08e/ZM6TGZTAaZTIbc3FymcrkcRUVFeP/+PUpLSz91uailcvnUPvzP6J+2ULjMQXZ2NvF4PNLW1v7kczirIzMzk54/f0716tUjIyMjysnJodLSUqWCOoFAQJ6enpSZmUljxoyhtLQ0ev78OWVnZxOfz6datWoxIppAIGCpXyJSymgYGxuTra0t6evrk5eXF40ePZp69OhBhoaG1KJFC8rIyKBBgwaRXC6v8H5LSkpIV1eXsrOzafz48fTDDz+QkZERPXr0iFJTU1mlckFBAU2cOJFu3bpFCxcupK+++oocHR1pwYIFJBAI6Pvvv6cBAwawdTds2ECNGzcma2trdkwul9P48ePJy8uLFi1aRCtWrCA+n09paWnk5+dHAwcOpNDQUOYeDRkyhPbv308xMTE0d+5catq0KdnY2FT5/ZeWllJ6ejolJydTdHQ0xcTEUGFhIUtRp6SkMFe1c+fO9PTpU/ZcdXmAWqojfxpQuHRwZfESoorFejwej7KysqigoICaNm1KEomEiH4Hmg8fPlBKSgolJSVRREQE/fTTTySRSGjt2rWUnp5OWVlZFfgbAEgqlSqlVYnKgqx79uwhsVhMRGWpVg0NDdq8eTO9f/+e5HI5xcbG0qBBg6igoICkUinJZDKaOnUqHTx4kIiINDQ0GNB4enrSrVu3qG3btrR3716SSqXUuHFjevnyJY0ePZrCw8Npx44dNHnyZNqzZw+VlpYyF6Vjx47k5uZGgYGBLJ0+ffp0Cg8PJw0NDUpNTaWhQ4fS06dPac+ePTR+/Hj2OW7evEnv37+n2bNnk7Ozs5J7NH78eFq0aBEREU2ZMoWuX79O2dnZ9OLFiwo8lhcvXlBKSkoFl87c3JxsbW2pYcOG9OHDB1ZomZqaSgEBAdS6dWuVv211ywMU+S9q+d+XP53l+fDhA5WUlFBSUhKJRCIW+OQkKCiImjVrxu5ohYWFdOLECRZ85C7yFy9e0NOnTykrK4vS09MrvI6WlhY1bNiQFesVFxdTTEwMXbt2Tek8Q0NDysnJYbELIqJZs2bRxo0b6d27d+Tg4EBdunShI0eOUE5ODt2+fZsWLVpEGhoapKGhQcnJydS+fXs6f/48WVhYUElJCfH5fNYyQSgUklgspjt37lCXLl1owIABNGzYMJo+fTrl5ubSpk2baNCgQaSnp0dt27YliURCPj4+7P0FBwdTly5dWH1QcXEx9erVi5YtW8aYuydOnKDOnTsrfa6uXbuSTCZjJQJZWVnse0tKSqLNmzezuJSqtLyJiQlLQ9eoUYP9X19fnyQSCTVs2JCePXtGw4YNo7S0NCIqA8Bbt26RgYEBPXv2jDQ1Nau4RFQLZ8FwNxV1eUCV8j/zZfzloGxlTFfOchEIBJSWlkZLly6lc+fOVTjH2tqajIyMqGPHjmRvb88u/EuXLtGBAwfoxo0b1KpVKyIqy7r079+ffH19yc7OjgoLC0lLS4sSExMpJyeHtLS0WIaGiFimpXXr1pSXl8eYs+7u7jRv3jyysrKioqIiev36NRERLVu2jDw8PNjn4dwwrjqaz+fTqFGjqLCwkFxdXWnChAkkEAjo+vXrZGdnxwh4kZGRtHz5cnrz5g1pamoSj8ej5s2bU69evcjHx4eKiopILBaTu7s7eXh4kKWlJd26dYvq16/PLIzk5GQKDQ2lBw8ekIODA7Vo0YKSk5NZdbQqKS0tpQkTJlD9+vXJwMCAateuTVZWVkrZI05yc3MpKyuLPD09acKECaShoUELFiygzZs30/z584nH49HNmzdpxowZdOzYsT98XZSf3oiP5QGK4Kduz/C/J3/aQuHM2/T0dCoqKiI7Ozulx8PCwlhVcGlpKWlra5Orqyu9ffuWhgwZQhs3biQrKysSCAQUGRlJNjY2pKenRx8+fKDo6GgaN24clZSUUEREBBGVZVqGDx9O3t7etGzZMtq6dSvNnTuXXFxcaNy4cex1xWIxSSQS1uQaAFlaWtKHDx/o2bNndOjQIfr2228ZAEilUrKysqKsrCwKDw+nYcOGUUREBNWqVYvCw8OpoKCAxGIxvXv3jq2rpaVFJSUlZG1tTRcvXlT67MuWLaMff/yR9uzZQ2lpaZSSkkLZ2dmUlZVFSUlJKq2wli1bMtasqhEfjo6OVLt2bSVL4+HDh7R9+3bGFykuLiaBQECWlpYUEBBAOjo6zD3KyckhAGRgYECGhoakp6dHeXl5tG/fPtq+fTs5OTnRuXPnaO7cuRQXF0fh4eGUl5dH9erVo+LiYjp79iz16tWrquvkDwkHMJzbnJGRQTY2Nv+fywP+dz7sJ6K2lcqHDx9QXFyM5ORkREREVMjo3L9/H3fu3EFcXBzL4ISGhrLMyezZs5WOp6en4/Xr1/D29oaHhweICPPnz0dxcTFSUlLg6uoKgUCAb7/9Ft9//z2ICCEhIQgLC4NQKASPx4NYLFbKpujo6EBfXx9EhNq1a2PYsGEgIjRo0AAikQh169aFp6cneDweli5diri4OAgEAixYsADXrl0DEaFmzZrQ0tJi75vTGjVqYMeOHVi1ahXGjx+Pjh07olatWiozSRKJBBoaGhXW4FQsFqNXr16YMWMGNm3ahDNnzuDevXuwtbVF+/btlbItubm5mDlzJogILVu2BBFh8+bN4PP5bL2hQ4dWyOrk5OQgPj4eDx8+xM2bN9GvXz+WTXr58iViY2PB5/OxaNEi9pzt27eDiCCVSvH8+fM/nEmqrnp5eSEvL49lj/Ly8lBYWIh3796hpKTkUxmS/wX54tmZz6V/GVDS0tIQFhbGgKSoqAgxMTFwd3dHQkKCEsgUFRVhyZIl7MIfN24cCgoK8PjxY4SGhsLHxwdZWVlYsGABhEIhbty4gWfPnsHBwQGampq4dOkSvL290ahRI7i4uMDf3x8XLlxQ2pgmJibsbzMzswqb19XVFTweD05OTrhy5QrmzJkDIsLjx4+xadMmEBE8PDzg6ekJBwcHSKVSiEQiaGlpVZp6FovFKkGHiKClpQUnJye0b9+egZuiamhogIiwYsUKpU12584dEBEOHDjAjqWlpbH0+MyZMzFx4kRoaGjg5cuXSt8rEeHnn39WuXlfvHiBjh07gogwYsQI3L17F3fu3MHXX38NIkJgYKASeDk6OoKI0K5dO+Tl5X0WAElPT8epU6dQp04dZGdnw8vLq0KKWjE9LZPJ/tfT018cCD6X/mlAKSkpQXFxMV6/fo2HDx+iuLgYcrkcAQEBCA0NRVhYGF6+fFnBcvH29sbIkSPZhd+vXz/GtygsLERBQQEsLCzQq1cvnDhxApaWltDX12e8lkOHDjELJzU1FXPnzoVQKISenh6cnZ2ZBaJopZTfxJ06dcL+/ftx+PBhGBoawtjYGM2aNatg4VRHNTQ0ULduXXTt2hV2dnbQ1NTEoUOH4Ovri8TERMhkMty7dw+mpqbMijA0NAQRgcfjsXX4fD5+/PFHhISEIDExERMnToSmpibjvzx9+hTOzs7g8/nYvn07srKyYGBggMGDB0Mul+P169cwNTVVArnw8HCljRoaGgoHBweIRCJs3boVoaGhkMvlyMvLQ8OGDVG/fn34+PjA29sbYWFhePHiBQM2IsKGDRuqBRiZmZkIDQ3F5cuXsXPnTsyfPx+DBg2Cq6srjI2Nlb6/AQMGVACU8uCiaL0o8l8+fPjwvwIwXxwIPpf+ZUDJzs5GUFAQ0tLS4OXlhRcvXqC4uBiRkZHs/+UBJTMzE/b29tDT0wMRoXnz5sxtunr1KogIq1atglQqhaWlJUJCQpiFM2jQIAiFQsTHxyM/Px+mpqbo1KkT5s2bBx6Ph06dOkEgEKBhw4ZKF66iS1BeBQIBsxQ+pUKhEEQETU1NEBF27NgBuVyOly9fQkNDA5MnT1baEOfPn2fWC5/Ph0Qiwbfffqu0Ho/HA4/Hg729PaKiohAYGAgdHR106dIFkZGRuHnzJiwsLKCjo4OLFy9CLpfj9OnTICKcP3+evdbRo0cruGUcGe769evQ19eHoaEhPDw8kJSUxAAlODiYuU7l3SNPT0/07NkTPB4PQqEQd+/eRW5uLqKiouDu7o4DBw7g22+/xYgRI9CqVStYWVkpASVRGdHQzs4OHTt2RJ8+fZRAXiAQ4PTp09W2bhQBJicnB3l5eSgoKMDbt2//ywDzxYHgc+lfBpS8vDzcvn0bd+/eRV5eHgOOZ8+eVXB5OEApKirC+fPnIRAI4OLiAj6fDxcXF6Snp2Po0KGQSqXQ0NCAjY0NYmJiUFxcDJlMBh8fHxgYGKBbt2548OABFi9ezMzxdu3aVbiQq6s1atSAjY0NeDweFi5ciL1796Jp06Yqz+VAkAMVDQ0NBAcHY9++fSAieHp6sot/x44d4PF4EAgEMDAwgLa2NkaMGIE2bdpAW1ubWSmK73vChAk4deoUiAhnz57Fvn37oKGhAVNTU5w6dQqxsbHIzs5Gv379YGJigpycHKXN1rRpUwZSnAWwe/duCIVC1K1bF48fP4ZcLkdiYiLCwsIgl8uxcOFCCAQCxMXFsXViY2Ph6emJw4cPY+7cuUoAUB6ceTwerK2t0aZNG4waNQpLly7FgQMH4OHhgejoaGZV/Pjjj5BIJLCwsAARYfDgwSAiWFlZQSaT/Sn3SdE9ysnJgUwm+y/GX744EHwu/dOAUlpairy8PPj5+eHmzZsVqPOxsbF4/vx5BUDx8vJCQEAAwsLCsGHDBhARRo0aBZFIhHr16oHP54PH48HR0RFLlizB9u3bMXXqVLRp0wa2trYqN7mmpibq1q1badBT0bLgYiyWlpbQ09PDoEGDkJOTAzMzM/Tu3RuxsbFwcXGBQCCAQCAAj8dTMtP5fD60tLTYhuXz+ahbty7atGkDe3t7dgedN28e22z29vYskHz48GHweDyMGzcO2tra4PF4FTaoq6srTE1NsX79evB4PDRp0gTPnz9HSkoKwsPDcfXqVYhEIowaNQrJyclKsY3r16+zja+4ZufOnZGSksLOe/z4MU6fPo0TJ05AT08PNjY26NatG+rWrcusr8rUyckJK1euxPfff4+TJ08iODgYL168qDTGkpOTg1mzZjHwnzFjBgQCAeLj49G4cWMQkVIw+M/qf7g84IsDwefSPw0ob968gZeXF1JTU1XW7SQkJODp06dKx9LT03H16lUkJSWhuLgYb968QefOnaGhoYF169ZVGadwdHSEubk5xGIxVq5ciYMHD0IkEmHy5MmIiorC6NGjVQJI+XhK+Y128eJFXLx4EUSE77//HjVq1IBEImHxlNmzZ2PhwoWVuk6K1sXixYuRkZGBAQMGsGOtW7dGUlISevbsCUtLS6xevRpEhN9++w0rVqyosI5UKgURoU6dOiAi9O/fHxkZGWzTZGdns+dxgdlOnTqhQYMGFeITijpx4kT07dsXzs7OSlaWIig7Ozujb9++mD17Nr7//nscO3YM7dq1U/lZT506pdI98vf3R1RUFNLT0yGTyZCUlMSCwNOnT0dmZiYDLy42xAF3QEDAZwn6VhV/yc/PR3Fx8b/NPfriQPC59C9ZKAUFBZUWAiqmk4uKihAdHQ0/Pz94e3uz5xUXFyMpKQlGRkZwcHBQCopu2LABP/zwA3x9fVFYWIj09HSIxWKMGDECr169wu7du0FE8PX1Rbdu3UBEaNOmDbvouTs/ZwVw62praytlbK5cuYLBgwdDR0cHBgYG0NHRAZ/Ph5mZGXg8Hp4+fYq+ffsyi4UDJB6PVyHzM336dJYVISIMGTIEmZmZiI+Ph1AoxLx581CvXj24urri0aNHSE1NhZGREYyMjBgAKmr37t2xdOlSjB49Gm3btoWtrW0FQOPz+TA0NISVlRWsra1hYmKi0vXj8XioW7cuunXrhqlTp2LZsmX4/vvv0adPH2hpaSE9PV1pMz558gT169cHn89n3+/OnTvZelKptEIBoVwux6tXr/D06VPcv38fBw8ehJWVFUQiEXbv3g25XM4oAYcOHYJcLkdWVhZmz54NIoKFhQVevXr1WUGlKoDh0tNv37790u7RFweCz6V/GlAAVFlZnJqaisePH7MsR3h4ON68eYP79+8rxVqKi4tx8uRJpTslURl3Y/fu3eycPXv2sDtjeno6mjdvjnr16qFNmzYgIrRo0QJEhPbt26NPnz5sE0kkkkpdIQ0NDZibm0MoFLI4B+ce2NjYoGPHjkhKSoJIJEL37t3ZmpwVQUQwNjZW2uTcZv7qq6/g5eUFHx8fFuvhgqbLly/HsWPHcPToUfTo0UPJolKlenp6sLa2Ro0aNWBubq7yHKFQiJo1a6JmzZoqwYSI8N1337FYRUJCAh48eAA9PT2MHDlSaeN5eHjAyMgI+vr6uHz5MmrXrg03NzfI5XLGfSEiNGnShLkV5fX06dOQSqUwNTXFiRMnWPZo8ODB0NLSYtmrzMxM+Pn5wcnJCUSEsWPHflYQycnJwfjx43Hr1q1K4y85OTksPc3FX/5h6+WLA8Hn0r8NUDIyMnD//n14eXkhJSWFHQ8KCkJ2drbSua9evUL9+vVBRIxwxYHKrVu3UFxcjObNm6N+/fp4/Pgx/Pz8QFTGMxEKhSyAOmzYMGRmZmLbtm0gqhhA1NHRUYoPiMVittk4N2Ds2LGM1Pbzzz/jhx9+ABHBz88Pjo6OMDIyYpaOKheIiLB161bcu3cPp06dwrp162BkZARtbW3o6upWChqfUh6PB0tLS1hbW4OIMGPGDBw4cADu7u6IiopCdnY2A1KBQKASoAQCAY4cOYKgoCCEhIRgy5YtICpzv7hNxgVwHRwcEBISAh8fHxAR9u7dy1wUxbUXLFigtEnz8vKwbNkyEJXFghStmPT0dOjq6qJnz57MPeJ+z+DgYPZd/vrrr3/I6oiPj4eXlxeOHDnCiIbt27dXAleBQFAt6yUwMBApKSn/dPzliwPB59K/BChv375VytwoEthCQ0Ph7u5ewRp5+PAhXr9+rXSM41BoaWlBT0+PkclEIhHEYjF27doFIsKmTZsQERHBeCyamppwcXEBURlJrrCwEDKZDK1atUKNGjUgFoshkUiUAKT8MUVdunQpXrx4gd69e0MikWDNmjUwNTWFVCpF3bp1/xRPRRHM+Hw+NDU1YWRkVK2eLUKhEKamprh79y4yMzMhk8lgZ2fHrAXFjVq3bl0QlQWddXR0UKdOHZVg5+joiISEBAQFBaFly5YwMjLCo0ePEB8fj2nTpjELLTk5GXK5HNOnT4dEImF/y+VypdgPEcHd3R1yeRnxjrshjBw5Eq9fv65gtRARLl26xNyj8PBweHh44M6dOxg/fjyICLq6uoiNjVX6fEFBQTh37hw2b96MGTNmoGfPnnBycmLArqgmJiZwdXWFnZ2d0vFly5Z9EqACAgKQkZHBAIazXv7m+MsXB4LPpZ8FUPz8/FhchGucFBYWhvv371ewXDiaveIxLk26cuVKaGlpwdramm0GU1NTllpNTEzEiRMnGCeCs2pWrlyJx48fo6ioCGFhYSAqa2LE3YEVYx2urq7M+il/IVbGhuX4MIrktE9pZbyWGjVqoEePHhgxYgQmT55cwZIQCoUV3tuwYcMgl8vh6ekJIsK+ffvYBggPD2cM3CZNmjC3SldXF/369VPJFp43bx4ePXoEoVCIWbNmITQ0lLmMw4YNw5MnT5CRkYGsrCwYGxtj4MCBSpuOC6wqfm/+/v5wcnICn8/Hpk2bVKaB+/fvXyHVnZ6eziyVEydOsO9NKpVWGmjW1taGk5MTK1fYsmULzp07h6CgIKSnp+PZs2do1qwZ+76trKwgkUjA5/MZ96Yy9ff3R2ZmZrXjL58pPf3FgeBz6WcBFC4ukpKSwjI/3I9THlDCw8MZg7aoqAhPnz5F165doa2tjdzcXPz000/MxK9Xrx6Ifu/ANmnSJPZ/MzMziEQiHD16FOnp6QgNDUVRURHLyBw6dAjTp09nF+GnUqF8Pr9Sghufz0fNmjXRvn179p4qUy5eo62tjeXLl8PQ0BAtW7ZEnz59YGBggKysLKSlpeHbb79VCp526dJFaY3yQPPTTz9hypQpjGovl8tx+fJl9n2MGTMGMpkMvXv3ZrGgM2fO4MyZMyrfJ2cNnDp1Cvb29hCJRNi3bx8yMjIQHR2Ne/fuYePGjey1FUEgLy8PBw8erLCmvr6+kvukuBlDQ0MhEonQpUsXJbfE1ta20hhXzZo10b9/f0yaNAmrV6/GmTNnEBERUWUJgLu7O0xMTCCVSrF3714IBAIsWrSIvV8rK6sqn+/r66vUGa8qF+kzlgd8cSD4XPqXAOXdu3coLi5GYGAgHj16hHv37kEmk7GUsI+PTwVAiYyMRFJSEjMv79+/Dy0tLfTt25eBzNChQ9mm5LgnVlZWbLPxeDxoaGhg3rx5WLp0KYYMGYJGjRrB0tJS5YXJkcuqAwRaWlrQ0dHBzp07YWxsjCZNmjDi3qVLlxhtXlE5sOIAgnONOJDYu3cvNDQ0MHXqVOTl5WHKlCnsuQ0bNoSWlhZGjx5dJTFPKBRCR0cH/fv3h0wmw4YNG5jltmXLFsjlZWQ1kUgEBwcHGBoaIisrCzKZDK1bt1biu3CAZWZmBj09PZiYmOD27dtKGyY5ORmdO3eGtrY25s6di379+qF58+aoWbNmpS5j9+7dldySXr16VemWNGvWDP3798eECRMwYcIEiMVipd+Jz+fj/v37zD3iskd37tzBgwcPGMmP2+AbN26EQCCAg4MDHj58iK1bt4KI8ODBA8jlcpYCnzJlSqVA4e3t/Ydrlj5DecAXB4J/DaDk5ubC3d0dISEh1eor+/TpU0RERDCaPmeRKGZ0MjIymKmuaBGosh54PB7bFJx5/Cnw4C5WziTmjnFgMWDAALi7uzNLRy6X4+zZs9DU1Kywtra2tpI1Uf5xTU1NFth1d3dH586d2evv3bsXenp6GDJkCPT19ZU4H5yKRCKl9Tdt2oROnTqxxxQtAu51xGKx0qa5e/cu+67Ku2w1a9bE8uXLMXfuXPTv3x+NGjVSWcSop6eHevXqoWnTpmjRogWaNGmilO0qr+XdEnt7e1hYWCAwMFApRZ2YmIgxY8aAiBjJbf78+WwdValkzhoODw+Hj48Pbty4wVLbffr0YRZc06ZN0bBhQ/a81NRU5taWB1BOPT09/zRrtzzA5OTkVLc84IsDwb8CUDgXJzAwEKmpqSpp9uWrjYOCgnDr1i3k5OSguLgYbm5uqF27Nry8vJTO5bILisplWCq7gA0MDCAQCDBlyhQMGTIERISDBw/i9OnTVQZBy1sdOjo6GDx4MKRSKTIyMrBnzx7w+XwIhUK2Ibk0pyJjtvw53KZv2rQpatasychqWlpa2L9/P06cOAEiYmnlS5cuoVWrViyNrQpUuOMGBga4fv06vL294evriydPnsDV1ZVZabdu3UJ0dDQ8PDxw4MABNGjQoEoLSCKRwM7ODs2bN0fHjh3Z56tTpw5sbGyqBdJEZa7o06dPlTbl06dPwePxKgRFExMT0bp1axCVpdm5iumoqCgsXbqUrTlo0KBKN29oaChjWM+ePRt37tyBv78/47usXbtW6XwuMKyvr69EGFQElL8CJhyhrzL3iAOYcvGXLw4E/wpA4e4EERERSE5OrhJQ8vPzERgYyJiUnLVCVBZALQ8+OTk5FapxFf8lKgtCclW9d+7cgba2Nrp37447d+6gSZMmqFmzJvOjubsuj8dTqso1NTWtYPlwLtKoUaOwaNEi9roCgQASiQSnTp1C06ZNVVYyEylbUhyQcW6RpaUlHjx4gPv376Nnz56wsLBAz549YW5ujlevXrGgKgdOqtbX1NRERkYGkpKS4OfnhyNHjmDy5MnMOhEKhX+o83+NGjVUBqT5fD5cXV0xZMgQLFq0CHv37sW2bdugr68PHo9X6WtwbREiIyORnp7OWNBcHREXX7O1tYVYLMaaNWsgk8ng4OCAtm3bsk2oaD0ePHiwwuY9e/YsdHV1YWhoiCtXrrDjr169wpw5c8Dj8XDq1KkK7hHH/endu3eFNauqfFbUly9f4t69e/jll1+wYcMGTJkyhQW2nZ2dq7Reysdf0tLS1sycOXOJo6Oj3pcGhC8KKO/fv2fAUFkhIMcz8fb2RlJSktIojRUrVoDH4+H58+dKgJKcnIxGjRopAQhHYNPT01MyyTt37oyXL1/im2++ARHh+vXrCA8PB1FZFTN3N+LO19LSUgIUIlKyCLhaIiJimQzOVTA0NIS3tzdCQkJAVEZQ48CDew4HMtz7VgSFxo0b48GDB7h69Srmz58PPp8PBwcHRparbgZJ8XVUKVeo17x5c7i4uKBu3boq3RhOpVIpvvrqK2zevBnnzp3DtWvXwOfzsXjxYqXNcODAAfZ5rKysWMpesdSA+y48PDzw7Nkz3L9/H3Z2dmjQoAHb1AcPHoSGhgasrKxw+fJlhIWFwdfXF0TEGLVyuRyPHj1S+o2ioqIgl5f1aeF+78aNGyMyMrLCpuXAqbx75O3tDX9/f+aulR9BwgFKTk4OIiIicO3aNezZswcLFy7EoEGD0KRJE5VxNMX6rqosKlUAk5aW9oOLi8vLefPmuXxpQPhXAMrz588RGxurshDw2bNn8PX1ZS7Oy5cvER4ejqKiItSqVQsdOnRQAp/w8HDGIfnhhx8QGBiolKHh8/lKcRWuWVKjRo1ga2uLvLw8pWZDRkZG4PF4qFGjBqytrZUe09bWrmCdGBgYVAg68ng81K5dG0+ePIFcLsc333wDPp+PwMBApdk93PmqUrVEqmM7nGXQoEEDtG7dGs2bN6/An1Clenp66NatGzp27AhXV9dKiWw1atSo1npfffUVu8i57E5ISAjbXIoZs7Zt2yIkJIQFhePj45VKDojKYh+pqakIDAwEEWH9+vV49OgRc0VdXV0RFhaGuLg4hIeHY+bMmRCLxXjx4oXShuOKLDkQS0xMZHGocePGVeC6KMaMdu3aVeExrvaIizfxeDysXr0aK1aswMSJE+Hq6opatWqpTOfXqlULHTt2xKRJk7Bu3TqcOHECd+7cwahRo0BEjLOk6j1VpWlpaWscHBzSt27davulAeGLAgrXtU1VIWB+fj5u3LiBhw8forCwUKlAMDQ0lHEqDh8+zGIm7u7uMDY2ho6ODm7dusVaIJw/f17p7ktU5koYGRkxE5+IMGfOHKSlpTEA0tfXh4aGBqtBWbFiBWJiYpRcKcVyeg5Qym+2evXqsQs9IyMDFhYWaNSoEQYOHAgiYozMT2VpxGIxsxhUAQCfz4eNjQ3c3NwqzViVVxMTEwawUqkUNWvWxLVr1/DkyRNkZ2dj0qRJSu+tKor/uXPnIJfL0ahRIzRp0qRCnIOIMGvWLOTk5LAMSqtWrSCXy5nVpqgjRozA/PnzIRAI8PDhQ7i5uYGIMHXqVDx9+hQPHjzAzZs34eHhAWNjY/Ts2bPCZnv9+nWFcgOxWKxkyZTX2bNnQyQSITY2FuHh4bhy5Qp27dqF+fPnY+DAgWjcuLHKAkk9PT3UqVMHvXv3xtdff409e/bg2rVriIiIUEqbc/r48WPW1GvOnDnQ0dHBmDFj/nDcJS0tbY2trW1WZGSk9EsDwr8CUBTdGEUXh+sVqgg0mZmZCA4Oxvjx4yGVSpGdnY03b95g69at0NHRgYWFBesAx1k+3t7eSpuOy7bw+Xzo6ekx68DS0pL53RKJBIaGhrhz5w6WL18OorJaGu4OyVkhVW0wxQutZcuWKutoOOtHW1u7Wi6LWCxmd/MmTZqAqKyi+Pjx47h37x7i4uLw/PnzSlm5iqAlEonw8OFDTJ48mX2eH374gQEf5/JpaWmxPrTc51G1tkQiwbFjx0BE2LJlC4KCghiwCYVCpbaSHDP38OHD7Jjia3DK8XBsbGwgkUiUWlrK5XLExMQwwB89ejRmz56NkSNHokuXLnB0dFQZ21myZAlzF5KSkuDr64tjx45hzZo1GD9+PMRiscqMnEgkgr29PZo3b14hQzVt2jTk5OTgzp07Su4R17mufCr5l19+ga6uLvT19XHu3Dn88ssvICKVPJzqAIqNjU1WWlqa6EsDwr8CULhCwKKiIjx//hw+Pj6sk1v5up2cnBz4+PhAR0cHY8eORU5ODtatWweRSIQ6deqwhkrFxcWIj4/Hs2fPMGnSJNabVUdHByKRiG2s/v37s7uz4maTSqVo0aKFymK58puqOqBibW2Nli1bMrZsZQ2pVSm3Pvdv165dwefzMXPmTPD5fMTExDBf/5dffmEboXxmh1OOi8O5ewYGBqy1Y2JiIiIjI5nbZWNjg9jYWDRu3Jh1bFO0+Mqrvr4+I4NxoGZsbAwfHx+2ATg2slgsVsqUcNXTqj6/hYUF9uzZgwMHDmDJkiUYMWIEWrZsqdQDmFNNTU3Url0brVu3xoABA1jGSfGm0qBBA5XAyMWKWrZsiW+++Qb79++Hu7s7oqOjkZOTg127dkEsFjOrtFWrVuy5HN+ovHuk2JohLCwMX331FbshREREQC4vYwGbmpqqtGSqAShrPwIK70sDwhcFFK5rW0ZGBh4+fMiKzjgX59GjR3j16pUSoMhkMqxatQpEZUVgXOvGhg0bIi4uTuncpKQkhISEQFdXF6NHj4a3tzckEgnq1q3LyFKKmQbFu7qWlhbs7e1hb28PojL/W9G1+ZRW5b5oa2uzDm/z58/HoUOHcODAAZU8GT09PaULnwOHBg0awNbWFp06dWIXFlezRERo1qwZS3GWf0+q3puBgQF69+6Na9euMWulQ4cOyMzMxMOHD9nGnjp1KuRyudJG4japqkCyk5MTzp8/Dz8/P0RGRiItLY0FRPv3768EJgEBAawVwae+W2tra7Rt2xb9+vWDSCRCo0aNsGzZMixYsABjxoyBm5tblb+XoaEhpk2bho0bN+LMmTMIDAxEWloaxo0bB6lUWoG7kpGRwWIdnTp1YozqyMhIZoVpaGhUmTYODQ1VCkT7+/sjNjYWiYmJkEgkmDZt2h8Gk4+A8p21tXXmlwaDfw2gJCUl4fr16xUyPWFhYUhLS1M6VlBQgKZNm8LS0pINBu/duzcrgFM8NyUlhfnqhw8fhr+/PwumTZgwQQlMVJG2FLVu3bqoWbMm+Hw+VqxYgR9++IF1N6tMufW4CD534W3duhVmZmZwc3NDZmYmTp06xTYh9xxFcOPz+ayymXucqzzm3AiOCk/0O5Nz6tSpFdYpD0yKOmrUKAY28+bNY3yIRYsWseN37txBdHQ0Nm/e/MmWmWPGjGF1LRkZGfDy8sKePXsYmLds2VJl42lV2rZtWyxfvhzffvstZsyYgT59+qBBgwYqXTtzc3M4OTlBQ0MDQqFQZVaFqKzYT9Elef36tcp2DGFhYYyHs2TJEuTk5KBu3bos/hMfH8++C0UinKJevHgRhoaGkEqlOHbsmFL2iOsRfPz48So711WmcXFxW21sbNK/NBh8cUD58OEDYmNj4eXlhbt371bI8kRERCi1LuCo91yLR6KyTmIFBQUIDQ1FRkYGI8C9ePECV69ehYODA7S1tdG/f39W+1GZ1cABi2IKWEtLC8OGDUNOTg5MTU3Rt29fyOVltH/F+hlFdXBwULrzKz6mo6PD2hts2bKFmb9ExJiu5bM8lW1coVCI1NRUxhAlIvz444+Qy8saDxkaGioFRKu64ysCzb59+xhHYt26dZBKpYybUl1+CtemslOnTrCzs1P5PCsrK7i6uqJXr16YPHkyFi1axLr1V7W2lpYWHB0d0bNnT1hZWUEqleLMmTMIDg5Geno6Nm3aBIFAAAsLC0ilUga+XNtObh2RSITAwEDmknAtRc+ePcs26+nTp6GrqwsDAwPW4Pv+/fsg+r3BuFz++wwi7obBHedS1DweD/Xr12eZL0Xt1KkTatSogbi4uEo711UFKEFBQXtq166d8KXB4IsDilxexhXIy8tTCSjR0dFITExkf6elpSm1apwyZQrOnTuHrVu3YuTIkejcuXOlgThzc3O0bNkSw4cPx+DBgyul4ROR0gbl7tbc/J7Tp08jNjYWTk5OKje6lZVVhXoSxZgNURn3RSqVspojorJAYffu3aGjo8M+o6amJsvuVLa5uM8hEong7+/PLrKzZ8+CqKyFJGfelwdQVe+/qvlBdevWxYQJEzBjxgyMGzcOffr0UWpoXV5FIhGaNGmCQYMGYe7cuVi6dCn7bp2cnNCzZ084Ojp+EkAUwTk0NJRtsMTERAiFQkyaNAlyeRnLlGtczYF6o0aN2LFly5YhICBAac1GjRoxi6B3794wMjKCr68vbt26xSzg8lyVefPmQSgUIjExUWljc9XrPB4PoaGhiI2NZTeJMWPGqGTWcsPhyvfE/VTtkaK6u7sfcnR0jPzSYPDFAaW0tLTKQsCYmBg2OTA6OrrCmAdFlUqlcHJyQr9+/TBv3jysWrWKdUkLDg5ma+bl5aFDhw5KG1IxYm9vb8+Iaood5evUqQN9fX34+PgotUcgIvTq1atC8JbrxcL9nzvOtVPgzHCRSISzZ88iNTUVmpqamDRpEpo2baoUnCzf5U1VvY8i/0Imk6Fnz57Q1dVl1P0xY8ZUCiKK2rhxY4wdOxbDhw9Hv379YG1tXWnsRSQSqQQDxfPq1KmjMrulqamJBg0aoE+fPpg5cyYjHn5qHEmPHj3Y59yxYweIytpwhoaGMpDn4l6jR49mTZmICDExMZDL5YwVzOm6deuQkpICiUSC6dOnIzY2Fm3btgVRWRvOmzdvsvKE5ORkWFlZoXv37hU2dkhIiFJA3MTEBJqamti/f3+l1gXXfJwrQFSlqsh1nKuWm5uL06dPn2rUqNGDLw0G/xpAqawQMC4uDlFRUbh//z7Cw8ORmJjILgJnZ2ecPHkSAQEBSEtLQ1RUFBITE1FYWIhHjx7hwYMHqFevHho0aKBk4XAXCseyJaIKRXVSqVTpTs2lkmvVqlVhwt+MGTOQlJQEsVgMQ0PDCpudq8jlXkux65qenh7u3buHlJQUVnsyfPhwBmzVvXMbGhpi1qxZLK6gqujOxMQEDRo0gEAgqNIKUaVcen3s2LFYt24dLly4gFu3bqFXr17Veu6gQYOwcuVKRjIzMzNjVkFcXBxzy7hUPZdSHjFihMo1V65ciVevXqFVq1aws7PDTz/9BD09Pejq6rK2FDt27IBMJmM1OfXq1WMbNCsrqwJgc9//rl27YG5uDk1NTfz0009Kz3n+/DkOHDgAojJr59q1azh58iQ2btyIr776Cu3bt68Qr1GcpKhKuU6CfyRmopg96tGjBxo1alRsZ2cXT0R16eO88f+q/iVAAapuA8kVpykO/EpKSmJZiD59+iA3N5dZM9HR0fDx8cHz58+Zn/vNN9+wx+vVqwexWIwVK1awu1vt2rXZXVEoFFbYbJwZq3jxccoVk3EX46FDhyoEd3V0dCot1zc3N1dJhCMq64zWoUMHZt2oKuFXVKFQiHr16qFHjx6sb6uJiQl0dXUxZMgQtG7dulpkNz6fDwsLC/j6+ir1LPnhhx+QnZ2N2NhYXLt2rVrsWU5bt26N3NxcBkDLly+HXC6Hj48PLC0tmdvk7OyM4OBgCAQC6OrqIjc3V+V75vF4LLjOZU1sbGwgFothaWmpVE/DtbXk+DUKboLSmmKxmBWH2tvbIyAgAM+fP8ft27fx448/slR1+bILTrW1tVG7du0KAWbFQWrl9cmTJyAqq0X7I4BSXhcvXhxga2v7mIguElE4EU3+0sDwrwIUjo9y584dNvVPUTkzkagsU5CamoqwsDB4eHiwwOzMmTMhkUhw48YNBAUFwdzcHPr6+rh9+za8vLxQv359ODg4IDw8nG14bvMqUvOlUmkFq4PH42Ht2rV48eIFsrKy0KxZM9ja2mL9+vXsnMrIX5xKJBI2qZDjwjg6OkJDQwNaWlrVnkSo6F5YWVmpfJ6lpSVat26NESNGMHdAUXV0dCo8b/z48ayjvWK8wNPTU+kuLBaL0bdvXyVgU/U+ly5dyh6LiIjA/v37GYGMqKzTW0ZGBuvnO3r0aMjlciVSoqIqupFcoL1x48a4e/cuC2RmZWWxTmuKM4U45WIrimpmZoY6depUsA55PB6srKxYM++VK1fiyJEj8PT0hJ+fH9auXQtdXd0KRZkikajCRABOuZEoHBflz+rKlSu92rRpcxwAEZGQiIy+NDB8MUAp31e2oKAADx48YGMiFAepc3r37l02nFskEqFmzZr45Zdf2NgNuVwOIyMjDBo0CFu3boVUKoW1tTVCQ0ORn5+P/fv3g6isN0heXp6SG6Kqp4giCHAMygkTJqB3795KGZ3yWl2XRXF97q47Z84cbN++HRcvXmSM2E8p12iK6PegpI+PD2QyGRISEphVwRUGlq/GVjViQ1tbG7169YJcLsf+/fuVwNXc3ByBgYFo0aIFeDxetXrm1q9fnzWI4txHxZaPXIuGsLAw5ObmIiIiQinmVV65xllz585FWloaC2R6enpi8+bN7DUPHz6MFStWYMyYMWjTpg17Xnm1trZG7969MWvWLGzbtg0XLlyAv78//Pz8WOV49+7d0aVLFxZvqwzgOW3QoAHi4uIqBFSdnJzQokWLvwQmcrkcCxYsuNeuXbtdXxoM/lWA4uvryyj38fHxKC5WHqSuqPfv38fr16/RpEkTaGpqQiqVwtjYGGfPnkVxcTF+/fVXEJXVRwgEAjg7OyMhIQGZmZnw9vbG8OHDIRAIEBMTw4Z0cU2HdHR0GMBUZSVwxV5cbdDAgQNZerFVq1ZV9v8oXxcjlUrRtGlTTJgwAVpaWkhLS1MK9FUVSC3/GJdFsbOzQ+PGjREQEIAff/yRuXLOzs6YNGkSe+3qgMDRo0eV0ttEZZXYAQEBzGwnImzbtq3KQWZEv8ejxGIxjIyMcO7cOZai5lxHsVgMOzu7ajGQRSIR1q5di8uXL2PHjh2sO1yDBg1U8orMzMzQsmVLjBw5ks1LKv+7zp49G8OHD0eLFi1Uuji6urpwcXFRuqE0a9YMixcvVvo+FVP2q1atgo+PD3x8fPD48WPcvn2bfWd/FVCmTJnyoFOnTuvYpiTqQUQxRBRHREsqbFoiCRGd+/j4AyKqqfDY0o/HY4iou8LxI0T0mogiy631PRE9I6InRHSZiPQ/Hq9JREVE9Pij/viPAoqnpye8vLyUyGkc/b48oAQFBSEpKQknT56EVCqFi4sLrK2toampiStXrqBfv34s5uDq6orXr18jMTERV69exc2bN6Gvrw87Ozv0798fBgYGVfYO4ZTP57MhWDo6OhCLxSrdGi0tLTRp0oRlLVQBgGIxIHdBjx8/Hvr6+hg+fDi7UE6dOsU2JAdcRBUtH8UmTYqbdseOHTh48CA73rdvX/b5a9WqVSlQce4Yt3Z5C2nGjBmIjIxEdHQ0Vq5cCaKywHBOTg6rNP6UampqVtoSwczMDIMGDWJzos+ePatE3KtKJRIJ6tSpg06dOrHv95dffoG3tzeuXLmCH374ATNmzEDt2rWrBFRra2u4ublh3LhxWLVqFQ4cOACJRMJ67wYEBMDe3h4CgQCrVq3CnDlzGCBZWlpCIpEgKSlJ6bfm0r5xcXEYP348+Hw+rl+/jqdPn/7hCmNFHTlyZEj37t0XfdzIAiKKJyI7IhJTWUzFqRwIzOQ2OBGNIKJzH//v9PF8CRHV+riO4ONj7YioiQpA6UZEwo//30JEWxQA5Q+nsv8yoBQVFSEkJAQeHh4VxmPIZLIKne+Liorg6+sLT09P5OTksGK0adOmVWgAXb9+fbi5ucHR0VFl/w8u+2Jra4sxY8YwavWnlAMfbp7PjBkzMHz4cIhEIty9excnT55UCs4pkum4C4zrzMYBChcT4IJ4iuNLBwwYgLy8PKUNyPXFFQqFFSwpruerYqUwR7Y6d+4ciMo4HS1atEDdunWZu/OprmpCoZAR5549e4aoqCgWkxk2bBhOnz6N7777rlJ3QnHTN2/eHH379sVXX32FLVu24OjRoyxAPW3aNAwaNIjVD33q96hVqxZu3LiBgIAAeHt748iRI+jduzcDOq7MofzzdHR0Kr2RcAWEnP78888gKutkt3//fjbk7cSJE6wxEuea6ejoYMCAAZDL5YiNjWWvYWtryxok1ahRA507d0Z6ejoiIyNx9+5deHp64tGjR0hISKh0AJoq7du3b0S/fv2mfNzIrYjoVjmLY2k5ELhFRK0+/l9IRFlExCt/ruJ51QEJIhpIRKe+KKA8fPgQMTExCA4OrgAoBQUF8PPzY38XFhYiODgYd+7cYZ3vi4uLMWbMGPD5fKVRl9wGsLS0RJs2bTB58mR89913aN26NXR0dJCQkMDGkd67dw+FhYXMVeKUu3txzZqIysxdzkoxNjaGlpYWXr58CRMTEwwYMAC3b99m7gVXuKY4EIyorABNkezGvY5AIMCtW7cYUBGVcSQUsxKKXcgUtXy6kruINTQ04OHhwWplWrZsyWI1DRo0qHS98iqVSrFjxw4cOHAAixcvRt++fSuNH3EzoCuzgMRiMYYPH47OnTurZNFy7mTnzp3Rp08fNmepKnCpLF7l6OiIESNGYMmSJZg3bx50dHSgra2NmTNnQktLi1lvqopAPTw82Kbt2rUrrKys2E2nffv2OHr0KIyMjCCVSnHkyBEMHDiQfbfc7Ga5XM7caiLCwoULcefOHRD9zmrmNDc3l9WfeXl5wc/PDxEREUhLS6uSLdupU6enQ4YMGfxxIw8hokMKm3wsEe0tt/Ejicha4e94IjImor1ENEbh+GEiGvIHAOUa9/yP5xYSURgR+RGR2z8CKBwoqJq3U1RUxLI/2dnZ8PHxYQ11FCn5mZmZsLe3h6mpqdKF0a5dO9y4cQNxcXHIy8tDeno6NDU1MWXKFBQWFqJly5ZwdHREQUEBduzYUWEDcPOHOX4JN5pUMQ3cuXNndsHMmjWLXaDdu3dHmzZtYGtrW2l7RFX/59bm8/nYs2cP7ty5g6CgIAwdOhTa2tpo3bo1Y9+WB5Py718oFMLZ2bnSWhlnZ2cMHDiQtTSsbsc3Pp8PKysrRlgzNDTEkSNHcP78efz66684cODAJzkqAoEALi4uGDRoEBYsWMBS3QsXLkR4eDh8fX0xa9YsNqxMW1u7SkDh8XhYsGABzpw5w2qsdHR0kJeXx6YRciUbHNenQYMG7PlRUVEVLD1NTU1cv34dnp6e4PP5MDY2Bo/HwzfffMPqm5ycnBASEoKsrCzo6urC1tYWenp6FVwYRYb3kCFDlMaZVKaZmZl49uwZAgIC2HXw/PlzZGVlKZ3XsmXL+AkTJnT6koBCRMupLIbC+/i3hD5mm4jIlYhSiEj3bwcUrmvbkydPKtTtcNmfFy9ewMvLi1UeR0VFISkpSek8X19fZrJzxCgOVAICAuDj48OKsDw8PFibx3Xr1mHu3Llso9SsWRM//vgju+NxRClra2u2vmLsxNnZGYMGDVK6Q86dOxdRUVEgKiNhcZW5Ghoa0NXVVYpRqNrIXLvC7OxsZGVl4enTp5BKpWjbti14PB4bQlWd1HLjxo0xYcIErF69mk1MFIvFaNiwIWsBUFmHOMXNT1RGl//pp59w5MgRfPvttwz8jI2Nq53mVtRvv/0WcnkZs5dLuWZkZCA9PZ2VJXA3CCsrq09mzerXr4/s7GwW1xkzZgwSExPRtWtXEJXFkLhBbbNnz2blCG3atIFcLsdvv/1WYU1XV1cMGzYMRGVW2urVq5mLM3r0aEan51xJiUSicr6yTCZTarXA1YRVV2UyGetW6OvrC29vb3h7e+PXX3+Fi4tL8uzZsxvjC7k8RDSBiAKJSKtSoCDyJaKm/xigqAKJN2/ewN3dnc1W4Y4/e/aMZYIU3SOO5MRdAPTxztWoUSPGyKxZsyb8/f2Zm9SxY0d2btOmTXHx4kUkJyezC08kEikBSO3atZX4E9xrcP/u27cPSUlJjN49bdo0CASCP5RCdnFxwb59+7BkyRIMHz68ShJZVcFkDQ0NaGpqquRVEBFrATB27FhMnTr1DwMCp506dcLcuXPxww8/YObMmUqUfEXgVGUB3rp1i2U8mjVrhrCwMEYm5D4397tyMRZu5IUqXbhwIevle+jQIdbIevr06TAyMoKOjg5OnDiB3Nxctp4iNZ4r1yivmpqaOHHiBGtKvnTpUnh6euLhw4dISEjAoEGDmCV69epVyGQyJCYmwsvLC4cOHcLy5ctZcy76CJB/JbOTk5ODu3fvYvDgwTA2Ni4Ri8W3qSzYWoeIEqgsqMoFZeuX29yzSDko++vH/9cn5aBsAn0MylYGKFSWUYomIpNyx03o94CuHRGlEpHhPwYoXN2OYkCWG2dQfl5PbGwsnj9/rnTs1atXMDAwgKGhISQSCaOgc8FLjnG5Zs0a5Ofnw8rKSilQ2759e1y7dg3p6emIj48Hn89ndyKuJobH40FfX5/RtsuDioWFRaXAwTV3IqJq91XhXAtDQ0NoaWnBxMQEtra22Lx5M+bNm1ehELEytbCwwPjx49l7NDU1VSpUu3z58ieZuJyKxWKcPHkSXbp0AZ/Ph7OzMzw9PeHr68tcCY6ro9jbpDLg09HRYT1e58+fDz09Pejo6MDExARisZiBy/Dhw5nrmZ2dzV6rMuUaaVlbW2PixIlK7snz589ZNorP52PAgAFo1qxZlW0UmjdvDj6fj9q1azM6fXZ2Nu7fv49du3YxlrVYLEaDBg1UDrYvb8WdPn36L6eM5XI5bG1tsxo1auT8ESguU1lw9DmVuTLLP27qdUTU7+P/NYjoPJWlh4OJyE4BCJZ/fF4MEfVUOH6GiNKJ6D0RvaSPbNyPa6RQufQwEQ0moqiPx0KJqO+nwOSzAArXtS0uLg7Pnj1DcXFZ31gvLy+8fPmywiD14uKKPWhTUlKwadMmEBG+//57mJqaMgAxMzODubk5u3ucOnWKUcq5O+a4cePg6+vLiq9mzJjB7lz29vYQi8WfrH+xtLREz549MW3aNFaD0rZtW5iZmUFbWxvNmjWrtC8Hp6ampmz6XcuWLbFx40bmplTVpV5ROYApbw1wneUFAgG+/vprZkZzJfufUsWpgY0bN2aB5J07dyImJoa5YUKhEPr6+jhy5Ai7I1dFFuTeK/e+ra2tIRaLYWZmBgsLCwiFQmzbto1VCTdv3pzFFz7V9a5evXosPWxlZYV69eqp/B1tbW3Rvn17TJgwAWvXrkXPnj1Vrufs7IyJEyeia9euzFItf46Ojg5atmyJfv364euvv8aPP/6Io0ePsjS9WCxmvXE1NDQQHx//WQAlLS1NXJ0N+2/XzwYoSUlJiIyMZF3uuRodX19fpSbVxcVlPWgjIiJQVFSEqKgo+Pv7Y9CgQdDT08P9+/fZkHOJRILWrVszl0NTUxMikUhp0w0cOBDLly/HnDlz0Ldv30oJUaqGkBP9Htizs7NDvXr1VMYSdHR00LhxY/Tq1YsFHyvbWOWPccFXKysr8Hg8TJw4Ed999x22b9+uVAekeHEbGRkp9XfhjnNB1KCgILx69UrJBCci9OvXT8mqUJxqqOo7EQgEuHjxIszNzdl5zZo1Q2RkJJ4+fcq+i+PHjzNeSFUAwG1+7nu0sLDAnTt3IJfL0a9fPxD9nj15+fIlfvnll2oFkoVCIezt7dG9e3fMmjULmzZtYt/XsWPHkJSUBB8fHxw8eJCR0SpbV0dHB87Ozujfvz++/vpr7Nq1C66urswi8fb2ZmCdnJyM5cuXQyQSwdjYmPXM/e233zBhwgQQlcV9/sqkQZlMxgHKf7oo8G8BFK52582bNww8uB4fioDy8uVLhIaGIiAgAGFhYUhOToaGhga++uorFBYWoqCgALNmzWIbimuExDVdVqWamppwdHRk1cg9evTA+vXrsWrVKuazV2ZhCAQCCAQC9O7dG7Nnz4aWlhbc3NzY5oyOjkZhYSFyc3PZWIjyzy8PIDweD6NHj4aLiwvL1HTs2BEFBQVKQ87L925RBCeOsMe5YXw+H3Z2dvj1118ZxZ07d9WqVcjNzWUNs7nNr+q9Kd7ZFeMlEyZMwOvXrxEXF4e1a9eCqMxdHDp0KBo2bPjJjU/0e4q+devWuHfvHm7evMnm+fD5/AqtHapSHR0dXLx4EampqfD09MTu3buxcOFCxhfh8XgqyYkaGhoqe9USUYVBXgkJCRAIBLCxsYGVlRUDh5cvX2LQoEEgKssExsTEoFu3bjA0NMTNmzfh7+/PLKx58+b9JUCxsbF5rbQp/1mmrCER3SGi2I//Gnw8ziOi3R/XekJETf4RQCkpKUFWVhYbAVk+yxMYGMhm8ii6PDdu3EBCQgLy8/OxZ88eEBH8/PxQWFjINi9nPdSpU4dtEI53oampieXLl2P9+vVYuXIlpk+fjp49e6oEDR6PpzLG0KxZM0gkEubnb9++nTU2unDhAurUqYO2bduy9+Tr61spy1WxO7wiL4WIWMXsL7/8wjYqURn5iuuvq2h5qVqfU0tLS6X0q0Qiwfbt2xEXF4cbN26w49y84PKqKiPF9fStrHWClZUV2rZtW2mHu/Lv1dDQUGUsSkNDAx06dMDEiROxdu1anDhxAvv27auSS1PVcHYjIyMMHDgQw4YNYwWSW7ZsUSp2LK8GBgZK8Seu6pmIWHbn7t27qFWrFgQCAdasWcP6mXD9Vj4O54Kfnx/7rQ8fPvyn2j9mZWXB1taWtX+kf54pu5U+ghYRLaHfmbK9iMjjI7C0JKJq9Wv5y4CSnZ3NpgIqNkLiNDg4WImOz40N9fHxQVZWFgoKCtCqVSvUrVsXBQUFbPMWFhYiIiKiQnqWq+Ytf6FIpVI0bNgQYrEY9vb22LFjB3777TeEh4cjLS2NXWQ8Ho9lEYh+Z8uamJjAysoK3bp1g4mJCauS3b9/PwoLC/Hjjz+yzbh06VKcPHmSrVGnTh0ll0VTU1Mpc9SnTx/o6ekxYBEKhTh79iwKCgpQp04dpSmJ2trajClb1eYlKrMwAgMDkZiYiNDQUPTu3ZuNFwkMDGRuBqeVBYBFIhHq1q2LHj16YMaMGVizZg37rHfv3sXdu3dx/PhxrFmzRimlr0o1NTXRvXt3zJ49G9u3b8elS5dYxu3KlSvw8/PDsWPHsHr1asbNqWo9qVSK2bNnY+fOnbhy5Qru3bvHvpsrV65g8eLFbJTJqlWrWEUx18pA1ZqKk/1atWrF0u5HjhzBtm3bIBaLYWVlhVu3brHzuD4q5ZtYX7p0CURl7qWfnx88PT1x7949PH36tEKjbFWamJgIe3t71v6R/uG0MZVZMhYf/29BRDEf//8TEY1Udd7fCijv379Hfn4+cnJyEBgYWAFQQkJCkJGRgTdv3iAsLAwBAQHIyclBVFQU/Pz82DyT5cuXVwCU9PR0pY3F+bkODg4Qi8Vo3bo1rl+/zvL6XOzlxIkTbI2EhAQ0bdoUPB6PgUqjRo2UAICLb3CbbvDgwRg8eDCr5+B8Z4FAgFOnTqGwsJCVDHCqra0NTU1NFnxVtCLEYjE7bmBggJCQEMTGxjKmb40aNZSaYFdHO3bsiNDQUNy8eRP79u3DvHnzWCarOmCkqGvWrIGHhwf279+PRYsWsdofVRuyOlmpr7/+GgsXLmQV3ZXFXrixr9w41srWmzhxItuAnDVrYGDAKANDhw7F5s2b2XgMrqqY+21V3YBOnTqFyMhIEJVZfQ0aNGDB527dulVoD9mxY0fUrFlTZbyE48NYW1sjKysLGRkZLDbI0fETExNV0vHDw8Oh2P6R/mFiGxHlKfyfx/1NRNeJqK3CY170T/BQuK5tcrlcpcsTHh6OpKQkNjxbLpcrAQfXAPjKlSvw9PRESEgIkpOT8ezZM+bycOZzzZo1WTCse/fuEIvFSEpKYmsNGDAA+vr6bMjYhQsXYG1tDS0tLZw9exbDhw9ngcY2bdpUYLhyF7Wvry8MDAzQo0cPFuPQ1taGr68ve+/dunWDlZUVmjRpUiE2YWFhoTK4q6WlxQZeqXqsQ4cODFS4O3dlhDNVPV64/7u5uWH16tU4fPgwdu7cqbJeqDIVCAQMbNu0aYP169fjl19+wYEDBxiHo7oxEIFAwALPNjY2WLhwIQ4dOoTZs2ezRkicG6UqTauoXIqWC4praWlBIpFgy5YtLDjdpUsXeHh4sLiKQCBAcHAwdu/eXQGwNDQ0lOqtuCLT9evXV3Bb4uLiwOfzMXfuXNy7dw8nT57E2rVrMWHCBLRv317pRtClSxel55an4ysOkedq3ZydnYP/DYDy8e/cfwWgcDGG8oDy6NEj3Lp1C8nJyRXAJD8/n82m4f5OTk7G6dOnYWRkBC0tLTYO0szMDDweD+bm5qhTpw67aNasWYPCwkKkpqYyH7ewsBCXLl1i9Tr79++Ht7c3NDQ0MHHiRHTr1q0CL0Vxg3JxDY7XULNmTYSEhCAwMBCenp64efMmeDweZsyYgVOnTkEsFquMPZTf8FwP1kmTJmH+/PnQ1tZmwdVZs2ZhzZo1GDp06CetAJFIBHNzc2zZsgU///wzTp8+jRYtWrCu9suWLcO4cePg5ub2yUI/Tm1tbREcHMzaGQgEAiQnJ0Mmk2Hr1q0QCoWstWJ1Cv46deqErKwsFswNCQlBSEgIC6i2bt2aEd64dgxcqYEqa0UsFrOB6vQRtI8dOwYHBwfw+XysXLkSe/bsYQ2ZhEIhBg8ezDa2Yld7TiUSCQMyc3Nz7N69G4mJifD09MTBgwexdOlSjBgxotJJC8bGxqhfvz777fl8foXB7eX19evXbIh8nz590L17d9SrVy+aiPSgdnl+BxTFuh3Frm03b95EeHh4BTApLCxk/UIPHz7Mjl2+fBlSqRRWVlY4efIki7f8/PPPEAgEkEgk0NbWhkQigb6+PiwtLSGTybB3714QEfz9/bFz504IBAI0aNAAMTExKCgoYMG3vXv34urVqzA2NmYjGjhuBnehKMZAWrVqhcuXL2PXrl34+uuv0a9fv0qp7oquRvnG0KNHj8a+ffuwcOFCDB48uFL2rLGxMQMZValPU1NTBjht2rRBkyZNVGY6DAwM0KBBg0ozW1wLB8Vjo0ePxooVK0BUNt0wIyODsZa592tnZ1ehWXZlozm2bdvGbgKBgYGsXcDEiRNhZGQETU1NLFq0iI2KdXNzQ2hoaKVBWMXfZ/v27dDU1ISpqSkuXLjAiv64WcNEv89q5rSyQLVQKETt2rUruEY8XtlAMh0dHRgYGGDNmjU4ceIE/P392cwosVgMc3NziEQiTJ8+/Q8HZL/77juYm5vHEFEAlRXhDaR/lin7PSkHZbd+/H9vUg7KBuMTYPJZAAWo2AaSqyoODg5GWloaAgIC4OXlhdDQUKSkpCA/Px+FhYUYO3YsdHR0kJmZicLCQuzZswcCgQANGzbExYsXERUVxUAoJyeH1fIYGRkpbbZTp06xwC6Xbu7evTsyMjIYULVr1w61a9dGQUEBsrKycOjQIfZ8jtRVXsvfKcViMerUqcOYoFu2bMHJkydx8uRJuLq6gsfjKaVzK7t47e3tYWZmBrFYDJFIhM6dOyMoKAgJCQmIjIyEp6dntYZnicVidOrUSal3y65du5CRkYHLly/D0NCQgZyq1pGqLAHORVm5ciUcHR2V+r9wm7VJkyaQSCQQCoUVgqqKa3Kv3a1bN2hqasLMzIz1EalTpw6Cg4Ph5eXF1h03bhymTp36yQ53XBDbzc0NHh4eqFevHmtUPWLECAiFQujo6ODcuXP4/vvvMXPmTPTo0UMpW6io+vr6aN++Pfr164eZM2di8+bNuHLlChITE/H48WMQEdauXcuAICkpibVX6NGjB2tpWtXUwcr06NGjUGj/aPIRCHrRP8eUNaIydyaWiDzpI73+I5Ds+7hWBFXD3flbAIWbXRwTE4P8/HwGCHK5HC9evMCjR48Y1VtbWxtjxoxBfn4+82c7duyIa9euITk5Wcma4VyiLl26QCwWM3OZ6PcCNC4DMWPGDMhkMvYczlTu168fvv32WwwdOhTNmjX7ZEc3bjauh4cHa0vIpX1dXV3RqlWrSpseE/2eteEsiAULFrCUo4aGBgsq3rlzh33G5ORkxqVRtV75Y6dPn0br1q0hlUphZmYGmUyGHTt2KNUfffXVVxg2bBjbTOU/t6rxGjo6OtDS0oKenh5EIhEjrU2aNAmnTp0C0e8xi+q8zyZNmjCgcHR0xODBg9GiRYtK5xN/yoX8+uuvsWLFCsaC7tGjB9q1a6cSMDQ1NVG/fn306dOnwghWojKrLz4+HgEBAcwt4VpRcj1p/P39kZOTg1u3bsHa2hoikYi1vqwqYPsp3b17N9zc3P4n2j9+NkDhurZxDaRTU1OVwKS8FhQUsGj9999/z2pBhg4dCk9PT2axqNKEhASYmpqiXr16jHikqO3bt8fYsWM537TC5uEqkjt06IDx48dX6FovkUjg5OQEPp+Pli1bol69eipTm+bm5mxq3ooVK/Dzzz+z2iHFTcrNxTEyMoKhoSGSk5NZT1xXV1fUrFmTfU/BwcEs5iEQCJS6nCkGehU3DVdXxOfzMWvWLIwdO5ZtIolEgp9++gk5OTksVlAZkU4kEikBgaWlJUQiEUxNTWFsbAyxWIxvvvkGd+/eZWlgd3d3yOVyNuu4KmAtf4zjtnBNtVq0aAE/Pz8Wa4uOjv5D2Squix3394IFC3Dz5k08f/4cMpkMSUlJrCVD+UZeRGVzmoOCgipseEdHRzRt2hQPHz7EpEmTGAnOw8MDMpmMBWzLD/qqrm7YsAGdOnVazzbk30NqU7kmEfnT7zU8aUT028fjHYhIpvDYqn8UULhq4+vXryMrK6tKMOG0Y8eOsLGxYXeMadOm4caNG/D29saTJ0+QkZHB1igoKMCLFy/g5+eHo0ePMl/YzMys0oyJvb093NzcMHbsWBgbG6NBgwZ48uQJ8vLylN7HvXv3Kr1IDQ0N0b59ewwePBizZs3Czp07YWxsjK5du+LBgwcICQlBfn4+4uLiGIuXu5NzPW6JSIm1OW/ePLi4uMDS0hI8Hg/ffvstCgsLcfr0aZZpMjAwgJeXl9LwdC4dzI0UVQVy3HhXoVAIa2tr+Pv7Iy0tDd999x07Z/DgwdUuJOTGltjY2MDHxwdpaWm4c+cO6+cyYMAAtG3btlojObS0tLB+/Xo8fPiQ9RqRyWSsnIDrUTJ48GA4OjpWi5Lftm1bnDlzhg0A6927NyQSCSwtLREUFIRz585h48aN6NevHwPjqtb97rvvlDY7x4petWoVCyYPHDgQjx49YhYrl6K+d+/enwKUpUuX4u9s/1idNT8+/yIRjVMAlOvVBZHPDigPHjzA48ePER4ezlK/irGS8hoTE8M2jkQiwerVqxEeHo7IyEj89ttvWL9+PcaMGQM3NzfUrVtXZWEdtym4HiNExPxeDojy8vJY86SFCxfi0aNHSEpKglwuR2FhIZ4/f67UzU1LS4vR9LliwNevX6OwsBAymQzHjx8HEWHx4sXw8fFBYmIi/Pz8YGlpCS0tLZw+fRqNGjWCVCplzbfpo7XBBXq5lCtXYHb06FGlSXgNGzbE8+fPUVhYiFatWqFevXrMXy9vzisS9BQ3i5GRERo1aqQyvWtsbIyGDRsqbSxVPA3OOjA3N0erVq1ga2tbYTNqaWmhXr166NixI3r37l1hZKui6ujoYN26dZgzZw769OnDhqErniMQCGBsbMwIjEOGDKkS/DZu3IgdO3Zg2rRp6NKlS5VcFrFYjA4dOrCRJ6rO5fP5ePr0KdvsCxYsAJ/PZ8zfffv2Kbk1eXl5cHV1hYODA7y9vavdoU1RZ8+ejb59+/5t7R+ruaYuEeXSxwZKXxRQ3r9/D09PT+Tl5aGgoAD5+flKsRIu2MjFNAoLC1mHMY6hWaNGjQrmrVgshoODAzp16oThw4djxowZ2Lp1K9zd3ZGWlobc3Fw0adIE+vr6jK24cePGCuD11VdfQVNTE6mpqUhJSUFoaCjrcWFqasrqRbh4hpGREerUqcNchO3bt7O1OGZnTEwMXr58iS1btkAikcDMzAy//fYbs3ZWrlwJIyMjpRGe5Zsy1alTB02aNGHfBVFZzYinpyeePn2KR48egagsGJiUlMSCuIrrVbZ5LCws0LhxY/Tp0wejR49mWaFdu3ahoKAASUlJLGb1qYI/fX19ODk5oUuXLpg+fTr7TLdv34ZMJkNubi5SU1Ph7u6u1Ii7MpVIJKhXrx569uzJYio9e/ZEUFAQc/Fat26N/fv3Q19fv9pTEhVvOv369cM333zD1u/bty/i4+OVCic1NTUxbNiwCtMArK2tkZeXh6ysLLamk5MTgoODK4BBREQEiAirV6+GXF6xQ9uDBw8QFxeHnJycSgFlwoQJGDZs2JCPG/mzc1CqueY4Irqg8HcHIsqmMmvGg8plmf5WQMnNzcXYsWNRv359jB8/Hr/++iuysrKYq5KWlobw8HB4e3vD398fT58+ZXc6bW1tNG7cGEOGDFEKgHImbPm4S0ZGBiIiIuDj44O7d+/i5s2brK1iq1atUKtWLaXn5eTkwNDQEMOGDVNa6/jx49DQ0ICVlRWOHDkCX19fBAUFwcLCAgKBAFKplHEUatSoAZlMhujoaGhoaLAg8pIlS0BUllaOjo5GdHQ0Ro4cCT6fDx8fH2bNiMViGBsbQ1NTk20ObhNzmRwej4d169YhKCgIJ06cwOLFi5mfz7UAULWJyh9fu3YtY2MGBwdjy5YtjO7PMVI/FexUXNvKygrZ2dkoLCzEixcvGKtZU1MT/fv3R8uWLZVmJ1dHuR67crmcBbR/++03ZinOnTuXbfzGjRtX2jCJ02bNmuHly5dwc3ODhoYG6tati1u3brEY0Lx583Dy5ElGknRwcGC/w/nz55GTk1OhgrxDhw7s+3dzc6uUQr9mzRoQEZ48eVLhsby8PCQnJyMsLAze3t7w9fVVab0MHjwY48aN6/yFAcWDiAYr/K1LRNKP/+9FRLH/GKBw8v79e/j4+GDevHlwdnZGv3798OOPP+LFixfMBcnMzERUVBS2bt2KDRs24MmTJ3j16tUn4y2qNDs7GzExMaxdIMe4PH/+PDvnzJkz7ILlQInjWbRq1YrNUs7NzUVsbCwOHTrEMjOKm3XHjh1YtmwZiIiN+SAqS3Pm5OSwLJalpSW6d++O+Ph4BAUFKZnXOjo6KovgOJNa1XGpVIo+ffpg4sSJWLhwIXN9yhOtOIB2cnKqUFfEqVQqRceOHTF8+HDMnDkT33//PY4dO/bJWIWNjY3KFLaJiQkaNWrE4h36+vpKcSNOVYHNoUOHcOHCBRCVtePU09ODvr4+9u/fzwLbU6ZMURqlysWmVOny5cvZ63Tq1AkCgQA1a9ZkpR26urrQ0dHB+vXroampyQosY2Ji4O/vjwMHDqjM+IlEoir7xtavX5/1d/mUZmZmIiYmhlkvHh4e2LNnD3r06IG/s/3jp9b8CEbZRKRRKUgQJRGR8T8KKIpSUlKC8PBwrF27Fi1btkT79u2xadMmeHl54fz584iKimKbOCAgAJ6enhU4Kn9EOctAT0+PReQ5roC5uTkba8n1OR05ciQDgvK6bt06EJESw7RGjRpo3749rK2tUb9+ffD5fGzZskUJCLnGyjt27GB1MXPnzmUxgMr6kTRp0gRjx47F6tWrcezYMdy9exdXr14FUdk834CAAPzyyy9Yt24dRo4cWamFwQVtu3TpgpEjR2LHjh04cuQIe/zixYtK1p6fn5/KTvGq3uPo0aOxfv16BnxPnjzB69evlRpRcWl8LsiuWFNUHlT09fWVChcdHR2xbds21oH+559/Znwi+mgRZWZmVtqLpvx3O3DgQMTHx7O2mHXr1sWmTZswcOBAds6nyHNEZVXilQHEgwcPQERsvMkfUZlMhpCQEHz11VewsLCASCQKIqJlRNSUPjOp7SPoVLomEU0nouPlXsOcfm9W3ZyIkqmaQ9z/FkBRlNLSUqSkpGDFihXQ19dHhw4dsHjxYty9e5eBh1xeRhZ6+PAhPD098eDBAyQkJFRweyrTjIwM2Nvbs7iHn58fvL29IRAIMGrUKAQEBLCq4rVr11ZpEeXn56Njx47Q0NBQ6qrOXYQ6OjrYsWMHLl68iG3btmHGjBno0aOHyloUoVCoFDgtT6lft24dIiIi4OXlhYMHD2LZsmVVDvTmqN7lN6hicePcuXPZ98aZ5IaGhkrZrePHj7NpAIp1KJW1Zvjqq68QHR3NLIXHjx/DyckJPB4PY8eOhampKbS0tHDo0CGlbEhlwKf4d8+ePTFjxgxGoNu5cycjunFp4HHjxkEulyMlJeWTtP8uXbowIl1Vr9+zZ0+sW7cOx48fx4EDB1SCa+3atSsFhUWLFoHP5yMuLu5PZXc4dXFxQc+ePe2IaAwRHSOifvT5SW0ViHIKj/kSUY9yx2ZTWfvHcCIKIqLW1QGTfwRQOCksLGQVl6dOncKwYcNQv359TJ06FVeuXGEWAxd3efz4Mby8vHDv3j3ExMRUalEopn+5LMP06dNZ7cahQ4dgbm4ODQ0NrF+/HlFRUSxzU5kGBQVBKpXC0tJSydRWZb5raWnByckJAoEA9evXx+7du3Ht2jVERUWxQLRiDxQOWMrP+uHWt7a2ZgO9161bh1OnTiEgIADp6enw8fFRiqkolgBoa2tDLBZDV1cXXl5eiI2NRe3atVnNEZf14uITtWvXhoaGBszMzJTS71wpgiIA8ng8Nph8zJgx0NHRgaGhIcaNGweBQAAHBwcEBwejoKCApbSPHj36yZlB2trajMQ3atQoHDt2DPr6+tDW1sayZcvY5zxz5gwiIyNx/fp1zJ8/v8o1uQpmoVCIbt26YePGjTh37hy8vb0hFotRo0YNFniVyWTYvXs3NDQ0IJVKVcZrVq5ciZcvXyrFPWQyGWrWrImOHTv+JTCRy+Vo1KgR/lfaPwJgZk1lUuWDf1XevXtHvr6+dPnyZfL39ydHR0fq3bs3de/enfT09IiI6M2bN/T69WvKysoiAGRsbEwmJiakra1NPB5Pab1du3bRsmXLSCKRkKOjI+Xl5VFmZibp6enR+fPnycnJiTIzM+n169eUnp5OBQUFJJPJKCMjgxITEykxMZHi4uIoJydH5ftt164dtW3blmrVqkU1atQgfX19AkC//fYbbdq0ic6cOUO9e/cmgUCg9LzAwEDq0qUL+5vH45FUKqX8/HyaMGEC9enTh4yNjUlDQ4Pu3LlDK1eupJ9++omGDh1KEomEiIiOHTtG8+fPJwsLCxo7dix99913RESko6ND+fn5Sq+3bNkycnFxoWHDhhER0ZkzZ6hhw4Y0ffp0unfvHjVo0IAiIyOpTZs2NG/ePBo2bBht3LiR1qxZQ+/evSM+n0+lpaVERCQWiyscc3R0JC0tLQoJCaF69eqRk5MTpaSkUHR0NBUWFiq9Fx6PR5VdYzwejyQSCX3//fcUHx9PO3fupFq1atGwYcPo0aNH5OXlRQKBgPh8Pr1//549T/G9qJLmzZvT0aNHycbGhoiI3r59S7t376b169cTj8ejhg0bkoGBAT169KjC+y0vAoGALl26RFpaWqSjo0NGRkaUkJBA3bt3p/3799OYMWOqfH5VAoDatWtHHh4e/I8Exf++fAJx/jEpKSnBw4cPsWzZMjRt2hRdunTBDz/8gOfPnzMXhYu73L9/H15eXggLC8PLly/Z4/n5+RXqcmrXro1169Zh3rx5bAh3eW4Dn8+HhYUFmjVrht69e2P16tXMiiIqmxAnFAoxYcIElRZNly5dYGVlxVLSnFWVnZ2Nffv2QSQSwcDAgFkk3J3QyMgITZo0UXLBBg0aBCMjIzx+/Bh+fn64ffs2i/106tQJycnJ6NixI2rUqAF7e3uVPA1NTU1MmzaNuRHnzp1jbFcuoDtr1izk5eVh6tSp0NTUREZGhlLMpTJVlXGysbFBhw4dGO9lx44dePDgAV6/fo3Tp09XuZ6lpaXKIDL3XdnZ2WH27NnYtm0bTp06BQ8PD2zbtq3SimyBQIBFixZh0qRJ6NChA2xtbVW2LuBes23btti7dy/GjRun9PkU+Un16tVDbm4um6szePBgiEQi3Lt3D6mpqX+6p6xMJkOjRo2guOfon2XKHiOiRPqdEevy8fifav+If9Ll+SNSWlqKuLg4bN++He3bt0fz5s2xatUqPHjwoELcJTg4GJ6enggODkZiYiLi4uJUXmiK/IeZM2eybmKPHz9GdnY2Hjx4wEoHOEBIT0+Hs7MzjIyMMHLkSIjFYsTHxyuBCUe9Xrx4MTuWmZmJ8PBwFkdo3bo1nj59imvXrrH3Y2dnxy7ey5cvo7CwEGlpaUotGOLi4hhAjh07Frdu3WKtExYuXMh6tWpqakIsFiuBC5e16NGjB0QiESwsLBhBa+PGjbh16xbOnj0LbW1tuLi4MMLZp/qSCAQC6Orq4rvvvoO/vz8ePXoEHx8fpel8Dx48wNmzZ7FhwwZMmTKlWoPIevTogQ0bNmDv3r34+eefGQjcv3+f3SxevHiByZMns16yVaWrDQ0N0bRpUwwbNgyzZ88Gj8eDiYkJjI2NIRKJWEe2ly9fMsAmKiuANDU1xYsXL5SyaUuXLoVcXtbfxMzMDL1798bz589ZS4vqcE7Ka3Z2NlxdXYHfN/g/ypT9CChDUB4U/mT7R/xbAaW8ZGZm4ujRoxgwYAAaNmyI2bNnw8PDgwUaCwoKkJqayuIuNWvWhEgkwvfff8/qOSrLHsnlcgQEBODx48dK6e3o6Gj4+fnh+PHj0NTUZPUrisBRWFjIxn+EhYWxY0lJSYwJO2fOHDx79oxdeFyxGX20JIRCIZo1a4aCggJW4+Pn5wcvLy+YmZlBS0uLdaDLz89npf4//vgj/Pz8sHTpUiVLS1VwkSOc6enpoXXr1qhdu3alRMIuXbpAV1e3gtXAWQTOzs6IiIjA/fv3cfLkSaxZswbjx4+vcmZzkyZNqqzLmTRpEvvu0tLSMG/ePBCVxXO6detWKeu3qpT3rFmzWBMj7jfitFevXkhMTISvry/rHcvVbHFDxeTysm5qitkgPz8/loE7fvy4kqWRkpKCx48fM8asYhOlygAlKSkJ7du3B37fyP9o2rgKQPlTvVDwXwEURXnz5g2uXr2KSZMmwcnJCaNGjcLp06eVAq2vX79GVFQUfH194evrW2kglpu3HBsbW2mANi8vj12QNWrUgK6uLqukLiwsRMOGDeHq6srODwgIgK2tLTQ0NJT6vHCAkJiYCGdn5wobzMPDA25ubnBwcMCuXbsgEolgZ2eHBw8eKK3h5OQER0dHvH79Gq9evUJQUBBrsq2qeFBRdXR02DxirtWjnp4eoqOjkZ2djdjYWAQGBmLv3r2MW6L4fMX5O4qqGNRdtGgRjh49imvXrsHHxwd37tzB9OnTq9z83HRIVXwXCwsLODk5QSKRQCAQoF+/fti2bVu16ocOHDgAT09P1KhRg73+4sWLkZubi40bN7JBYtevX4dUKmXWoGJnfEWr0szMDKNGjYJUKq2yX6wi50RxOmH5FpBPnjxBnz59gN837j9KbPsIKDFU5tbsICLJx+N/qlsb/ouAoigfPnyAv78/Fi1axKXfsG/fPiQkJCj1UXn+/Dnu3bsHLy8vPH78GKmpqUhLS4Onpydevnz5ybR0QUEBBg8ezC7KRYsWwdPTkzFHt27dytKxmpqasLKygr+/f6XrPX36FHp6ekpcFy69zKVMu3btyt7by5cv4e/vz6p6XV1d0bp1ayVqf1WbdcqUKUrfSWHh7x3u+vfvj59++glLlizB0KFD4erqWqECu7wOHjwYp06dQmBgIF69eoWUlBQQlblxip/z5cuXLI3cuXNnla0KODUwMMCkSZOwYMECdiwoKIiR1urWrYugoCDs2bMHGhoaSlR7bgh6+TU5ZjN9tLBq1qyJq1evMuuxb9++SEpKYnEeZ2dnlW0IOFY0URnZbcSIEdV2a/Ly8vDixQsWX7t79y6ioqLYNTly5EjgywGKBZVZNxIiOk4fq4r/3wKKopSWliI6OhobN25E69atWT/UsLAwpZ4sXEHf1atXERgYqFQsWJWmpqbC1tYWEokEtra2yMvLw8yZMyEUCnHhwgV24bZo0aJCnEWVnjhxAkSq5/w2aNAAPXr0gIuLi8rNbWpqymYac13Etm7dCqLfuSTcBmvWrBn27t2LDRs24Ouvv8bAgQPh7OxcgdjF5/NRq1YtdOrUCZMnT0b79u0rvC7nopmbmysxoOfMmQMiwvr169nn8/f3Zx3oN27cyBjKiq9Xfv2rV6+y9psNGjRg72HkyJGIj49n40vbt2+PQYMGQSQSQVdXF4cPH65WdTIXzxGLxfj6668ZobJ3797Q1dUFj8dT2YYgNzeXVXITlbVG+LNpYq7XypgxY1CrVi0u+NuTiDTpCxUHfjzegT4WBNL/J5enOlJaWoq0tDT8+OOP6NWrF1xcXLBgwQJ4enriwoUL8Pf3Z1H7sLAweHl5ISAgALGxscjNza0UBLy8vNiFe+zYMVhYWKBr164sazNs2DB4e3uzFgzp6elKGaiYmBi4u7tj3759WLBgAYs7lL+78vl8WFtbo3nz5ujTpw+mTp2K9evXw8TEBN26dav0/ZWfm1N+XY5o165dO1hYWMDY2BiXLl1CeHg4+9wJCQms+zs3hU8VmWzu3Lmso7uJiQn4fD5ycnJQUFCAHTt2sL63Fy9eZP1ueDweJk+eXKFlJPc+tbW1mdXGVWwfOHAAgYGBqF27Nvh8PkaNGoVNmzYxzpGenp7KLFF5AOZex8HBAXfv3kV2djZev37NWk5ygLFu3Tps2bIFM2bMQPfu3VG7du0K71cikShVJf9ZPXPmDBcQ3k5EIVQWcP3HmLL0ey9ZHhHtJKLNH//+U+0f8WcAxcPDA3Xq1IG9vT02bdpU4fHi4mIMGzYM9vb2aN68ORITE9ljGzduhL29PerUqYObN29We82/KnK5HOfOnYO9vT0aNGiASZMm4cKFC0pFjK9evUJkZCR8fX3h5+eH6OholY2euDstl7ngiGa7du2CTCZDREQELl68iLVr12LEiBFo1aoV7OzsKlgEXBc0bW1t1sGdqIzExW1uuVyO+/fv4+HDh/j5559BVNaU+9mzZ+y9c/rixQvGBib6fUoij8dDz549ER0dze62d+/eBY/Hw/jx45VKHjw9PVkjp59++gl9+/ZlYFK+6ldLSwvJycm4e/cuiMqK7m7fvs3qjdzc3HDhwgVYWlpCIpGwjFdoaKjKVHJ5C0NPTw89e/ZE3bp1q8zmtGnTBgsWLMCePXtUNk5S1EGDBsHf3x+XL1/Gtm3bMH369ApsaE65QsPu3bsrncOBS9OmTVWOxfgjevToUaxbtw74HSxE9Pe0f1TJlCUibypr7xhJRL/Q7wWBf6r9I/4ooHz48AF2dnaIj4/H27dv4ezsjKioKKVz9u3bh2nTpgEAzpw5g2HDhgEAoqKi4OzszCYH2tnZ4cOHD9Va83PJo0eP8O7dO3h5eWHOnDlo2LAhBgwYgJ9//hkpKSlsc+bk5CAmJobFXbhhYQUFBZDL5Ur9WSUSCVxdXZXSwJxyrQe7d++OsWPH4uuvv8bu3bvh6+vLqnjv378PsViMbt26QVdXFwMGDGCcGz8/P9Ybheu/m5KSgmfPnsHf3x/e3t4IDw+Hu7s7G8/BpVWJyij5nJsSFRXFPh/XcCksLAwvXrzAw4cPMX36dAgEAtSoUQP37t1DSkoKRCIRZs+ezWpiyuvEiROZG7J27VrY29uDz+djwoQJmDp1KgQCAWrVqoX79++jSZMmcHFxQW5uLsLCwtC1a9cqNz/R75klAwMDDB8+HJs2bcKNGzfQtWtXSCQSWFhYKGXvnj9/XmlbTw0NjQq/j5aWFqRSKbNw+vXrh+vXryMqKgrp6em4dOkSm5nEMXqPHDnC6qmWLFnylwBlz5492LFjBz6xB/9T+ocAJSAgAN26dWN/b9y4ERs3blQ6p1u3bggICABQVoFsZGSE0tLSCudy51Vnzb9LSkpK8PjxY6xevRotWrRAhw4dsGXLFqXm2DKZDAkJCXjw4AGL2F+5coVdlFKpFC4uLhg8eDC++eYbHDhwALdu3UJcXFyFmiFFS8jHx4dZQuvXrwfR7/EUDsi4mUNcb46xY8cqrcelRLlWjcePH0dSUhKLp9BHN4fP52PMmDHseQ0bNkSzZs1QWFg2TI2zHnr27ImAgAD4+Piwfil37txBVlYW6tWrB6FQyCYPKH5+roGUgYEBfv75ZwYWTZo0wfTp01kVsr6+frViHY6OjrC1tYVAIGDtDtLT0xEREYGrV6+y8am9e/fG1q1bMWPGDHTt2pUBWmXgNGvWLOzfvx/u7u4IDAzEjRs3wOfzGYktIiKCWYbcQHYzMzNcunQJnTp1grm5Oe7cucPm/PB4PDYM/s/oxo0bcfjwYeB3i+GfJLWd+ng8ksrmHos+Hu9Af7L9I/4ooJw/fx6TJ09mf584cQKzZs1SOqd+/fpISUlhf9vZ2SEzMxOzZs3CyZMn2fFJkybh/Pnz1Vrzn5DS0lIkJSVh165d6NKlC5o2bYolS5bg3r177C6Yn5/PmjT16NEDP/zwA2JjYyu0layucpaQv78/mjdvDpFIBA0NDXTu3BlpaWnsPK63yo0bN5RS3lxDok6dOiExMZHFhDw9PSs0bObxeHj8+DGrkt2+fTuCg4Ph4OAAgUCADRs2KAEg56px4Hb27FmlQfDlMzZGRkaspqn8ZuYAqEOHDhgzZgyWL1+OM2fO4Nq1aywdzK3LPcfMzAzHjh3DxYsXsXXrVkyfPh1dunRRmVrW0tJC/fr1MXDgQEyaNKnSSmLFvjh5eXn4+uuvQVRGB3BxcYG3tzeuXLnCYki9evVCQkICEhMTIRQKMWfOHGRnZyMtLY3xgbS1tXH37l0kJib+4bnGy5Ytw6+//gqUbeR/mtTWi8pcGx6VdcSfgd8B5U91awNAQlILEZXVldSoUYPmzp1Lc+fOpdzcXHJ3d6edO3fSs2fPqE2bNtSnTx9q27YtGRoa0oULF6igoIAyMzMpLCyMBAIBmZiYkImJCWlqalbrNSUSCVlbW5O1tTWdOXOGmjdvTu/fvydvb28KDAwkV1dXMjQ0pLNnz5KVlRW1a9eOiIiSk5Np1KhRFBYWRosXL6YVK1aw+iEDAwMiIjp06BC5ublRbm4uvXv3jgDQggULyMXFhdXHdOjQgXR0dMjd3Z3atm3L3ldycjIFBgbSkiVLSCQS0YsXLygyMpIcHR3pyZMnBIBkMpnSZyksLKSnT5+SpqYmDRs2jNq2bUu1a9emWrVqUYcOHcjW1pZu3LhBRGX1WVlZWZSenk7Dhw+nEydOEBFxm4aIiF69ekUTJkxgf+vo6JC9vT3xeDwSCoVkZGREv/zyC9nZ2ZFQKKSsrCw6c+YM7d27lzQ1Nen9+/cV6n1+/fVXmjZtGrm6utLjx4/J39+f7O3tKT4+nr7++mvKz8+nqVOnUl5eHs2fP5969+5NeXl5dPPmTfrw4QONHDmSxGIxCQQCWrRoEUVFRdFvv/1G8+bNo59//pni4+NJQ0ODjIyMyMjIiDQ0NKr8/fPz80lXV5f7szkRxQFIICLi8Xhniag/EUUrPKU/Ea35+P8LRLSXV1bQ1p+IzgJ4S0SJPB4v7uN6VNmaANy5RXk8XjARWVf5ZqspfwhQrKysKCUlhf398uVLsrKyUnmOtbU1ffjwgWQyGRkZGVX53E+t+SXEwMCARo8eTaNHj6a3b9+Sj48P/fbbb7RkyRKqX78+9enTh7p27Up2dnZkZ2dHxcXFlJmZSU+fPqX379+TkZERmZqako6OToUiRlUCgL799ltavHgxCQQCOn/+PNnb21NISAjdvn2bJk2aRB8+fCB/f3+aOHEivX//nn799Vfq3bu3yvWsrKzo5MmT1L17dzI3N6eMjAzy9vamkJAQMjU1pfnz51ObNm3oxx9/pIKCArp8+TLFx8dTQkIC+fn5ERHR5s2bafPmzWxNIyMjVoyoqalJRUVFRESkr69PeXl51Lt3b/rpp58YqBERBQQEUGJiIvXo0YP27t1L8fHxTJOTk6ss8ps3bx717duX7O3tycTEhNLT06lOnToEgKZNm0atW7cmIiK5XE6bN2+m8+fPk5ubG61cuZL69u1Lb9++rbDmqFGj6NSpUySRSCgkJITatm1LiYmJFB0dTfPnzydHR0e6evUqNWzYkEpKSig3N5cuXrxItra2BIDS09PJ2NiYJBIJHTt2jBo3bkxhYWG0e/du2rlzJ71584Zyc3Pp6dOnVFJSQgYGBmRsbEy6uroVroNygGJFRCkKD78kohblf1buHAAfeDyejMrm6lhRWZsBxedym6jKNXk8nojKuCnzFA634vF44VTWCX8RgKgKX2Rl8gkTRknev3+PWrVqISEhgQVQIyMjlc7Zu3evUlB26NChAIDIyEiloGytWrXw4cOHaq35b5KSkhI8ePAAS5YsQZMmTdCtWzfs3LlTKWYik8lY1zYutZqcnKyS/l9QUICoqCjcu3cPMpmM0c65hslcG4ZLly5hypQpLPUZFBRUrU53HDW/fENrU1NTlRwXrl2lsbExVq1ahePHj7MiuMLCsrICxcCnYqe09evXY+HChRg3bhw6derEApqK6+vp6aFJkyYYMmQIvv32WwwZMqRC3INzgaytrREREcEyWooUei7ecffuXUaf53q7bty4scoYzZQpU1gjLRMTE0aSmzJlSoXM3vPnz8Hj8TBv3jxcvnwZa9euxciRI+Hm5obatWsrpazj4uKQl5eHnJwcZGdn49WrV4iJiUFQUBDu3LmDwMBAPH/+HNnZ2ZDL5RgyZAgiIiKAMsvsS7V/PEhEOxX+/tPtH/FHYygAcOPGDTg4OMDOzg7fffcdAGDlypW4cuUKAKCoqAhDhgyBvb09mjVrhvj4ePbc7777DnZ2dqhTpw7c3d2rXPO/IKWlpXj+/Dm+//57tGvXDi1atMDq1avx8OFDpbhLcnIyQkJC4OnpicDAQHbhFRQUICQkBMHBwez83NxcRqUfNWoUmjVrBicnJ9YbdvDgwQgPD2fTGLmK65cvX+LevXs4duwYVq1ahdGjR6NVq1ZKIzw4lUgkaNOmDcaOHYulS5di27Zt+Pnnn+Hh4cGmBOzcubNSkNq5c2eVG1ZHRwd169ZF165doampicaNG8Pb21uJDJecnMwadPfq1YttzPIxmOXLl7M4jqOjIzQ0NNC0aVPk5+dj48aNbGSIp6cn8vPzsX79evB4PPD5fNy6davS/ik2NjYs9a+trY3Tp08jLi4Ot2/fxv79+7Fw4UIMGDBAJRuZmyDZuXNnjBo1CoMGDcKgQYMQHx+vNGCOa+KdnZ2NzMxMvHjxAo8fP8aJEyfg7OyMVq1acYPSePRl2j+uJqLfiIiPygDiD7R/xJ8BFLWoltLSUrx+/RqHDx9Gv3794OzsjLlz5+LWrVvsIuMabT958gTe3t64ceMG/P39K3BKwsPDlVKcRkZGEAqFWLt2LXx9fXHkyBGsWLECI0aMQOPGjVUSzywtLeHm5obx48djwYIF0NLSQs2aNSEWi9G9e3eVQJGdnc2GWXGV2KmpqUqWUGRkJJsQwIGT4uZPTk5GQUEBCgoKGN9k3bp1uHv3Lp4+fYrMzEzcuXMHVlZWEIvF2L59OxsLy7WLKA9+KSkpbAoAUVm6mms12adPH6SkpCA+Pp4R6LghadzGVqwmVqW2trYVeDZCoRAODg7Q1dWFqakpduzYgatXryIqKqoCs5orTg0PD2cN1Ln6MW4SBEfD56wXzmL/OKzuyUdL4Z8ktU2hsnnKmuVe40+3fwS+cIOl/2V58+YN3blzh3777TcKDg6mJk2aUJ8+fahTp04kEAgoMjKSjIyMSCAQUGZmJpWUlLC4i1QqpV27dtHy5cuJiEgoFJKmpmaFRkrW1tZkZ2dH9vb2ZG9vTxYWFqSnp8eaAZmamrLGTRcvXqRx48ZRu3bt6O7du+Tl5UUtW7ZUWq+kpITq1atHLi4udPbsWcrOzqbMzEySy+Wkq6tLCQkJ9M0331BqaiotXLiQDh8+TDk5OaSnp0eFhYVkbm5OT548YU2hpkyZQu7u7pSYmEgA6NWrV7Rr1y46ePAgWVlZ0cGDB6lt27Y0cOBAiomJobCwMOrcuTNFRERQSUkJe199+/alBg0a0KZNm4iIyNTUlGQyGS1cuJC6dOlCoaGhtGnTJiosLKShQ4fSyZMnadeuXaShoUFxcXH08OFDCg4Opjdv3lT4nbS0tKhNmzZkZWVFJiYmZGhoSA4ODtSgQQPKz8+nZs2a0ebNm2nOnDnV/u2Li4spKyuLsrKyqKioiAwMDMjExIQMDAxYcyh3d3f69ttvKSIignR0dERU1k/WkMoYqwIiOgJgA4/HW0dEjwBc5fF4GkR0kogaE1EOEY3A7wHX5UQ0iYg+ENHXADw+Hu9Vfs2Pxz8Q0Qsi4i6qSwDW8Xi82UQ04+M6RUS0AEBAtT/8JxDnXyd/B1N34sSJMDExQf369f+W9/z+/Xv4+flhwYIFcHR0hI2NDXbv3o2kpCSloWRxcXGszcHDhw9Z/KFly5aYPHkya2f48OHDClZNec3KysLTp09x9+5d+Pj4ICIiAiNHjmQp3/bt21d4zo0bN0BUVpqveDw/Px+rV6+GWCyGkZER9uzZg2fPniEoKIhZUlwcZNOmTSgsLGsBIZVKmaWQmJjILIhBgwbhyZMnCA4Oxvnz5yEQCDB9+nTIZDI8fvxYJTnN0tKSuUN169bFzZs3cfv2bVb2IJVKWSxF8Xl8Ph+2trbo2LGjyoFxv/zySwVrgxvXMmHCBPB4PHh7e//p6QyKLu/FixfRrl07zJ49G87OzsjMzOQukT+Vov036n8KUP4Opi4A+Pn5ISQk5G8DFEU5ceIETp06he+++w6tWrVC27ZtsXHjRoSHhyvV/SQnJ+PKlSu4dOkSgoKClPzzP6ocWHl5ecHa2poxPRV5LYWFhRg3bhx0dHSUApOvX79mHeo7duyIhIQEJbAqP9dYS0sLqampOHbsGIjK5h+7u7vDzMwMGhoa2LNnj9LG3LZtG4gIFy5cYLObNmzYoAQIiutLpVKVbRVsbW3h5uYGHo+H1q1b44cffsCPP/6I27dvs5hVfHx8BbBau3atyu+soKAAderUQdu2bVlbBy7A/uLFi2oVlKoClyNHjqBRo0Zo27YtWrRowZVy6KHMU/gniW21Pq4R93FN8adeozr6nwKUv4Opy0liYuI/AiiKUlpaitTUVOzfvx89evRA48aNsWjRIvj4+LALtqCgAOnp6UrD0p49e8ao+39U/f39IRKJIBaL4eTkhMDAQMTHxyMjIwO6uroYPXo0O/fhw4ewt7cHj8fDsmXLVG6i3Nxc9OzZU2mTDhs2DD169IClpSWWLVsGPp+POnXqICgoqMLzXV1dYW9vj6NHj2LFihUYNmyYyn4xnLq5uaFDhw6QSCTQ1tbG999/zxqY79ixA0SEgIAA+Pn5IS4ujlkb3AiX1atXK62noaHByhsUlZsCuXfvXiVAUJw+ef/+fdbqszrffWBgIJydnZnVnJeXh/Pnz+PjJv6niW2/UpnLRET0I/1ObFP5GtXV/xSxLTU1lTUeJiqLITx48KDSc4RCIenp6VF2djalpqYqxQysra0pNTX1n3njlQiPxyNLS0uaMWMGzZgxg+RyOXl4eNDBgwdp9uzZ1LJlS+rTpw+1a9eOateuTbVr16aioiLKzMykqKgoKikpYU27pVJptfguTZo0obVr19KyZcsoOjqaEhMTSVtbm06ePElyuZw6depERUVFdPnyZZozZw5paWnR1atXqVOnTirXE4vFdOjQIWrRogXl5uZSYWEh/frrr8Tj8cjExIQ2btxIgwYNounTp1NMTAx5eHhQXFwcxcfHU0xMDOXm5hIR0cSJE4mo7Hext7en4cOH04ULF5S4JJqammRiYkKXLl2iVq1a0ZEjR8jW1pY9fu7cOXJwcKBHjx4x0mF8fDzFxcVRYmIi480oSnFxMc2fP59+/fVXpePnz58nkUhE/fv3Z8f4fD4ZGhqSoaEhEZWR+bKysigqKoo+fPhARkZGZGJiopJzEhMTQ1OnTqVff/2VatasSUREenp6NGTIEALwlsfjtaJ/iNjG4/GeElEnIhr18ZzjH9c9UNlrAFUHWzn5TwHK/7ro6urS8OHDafjw4fT+/Xvy8/Oj3377jVauXEl16tShXr16UY8ePcjW1pZsbW3p/fv3lJWVRQkJCfTmzRsyNDQkExMT0tfXJz6fX+nrzJkzhzw9PcnHx4fWrVtHjx49okePHpGZmRm5uLjQ+PHj6caNG9SoUSM6evQo1alTp8r3ra+vT/v376f+/fuTrq4uyeVyAkCZmZmkra1Nly5dokuXLrHzLS0tqXbt2lSzZk3Kzc2lPXv2UIsWLcjOzk6JZTxixAjq27cvCYVC+vDhAxUVFdGlS5doyJAh1K5dO7p8+TJlZmbSixcvKDo6mp49e0ZERHPnziUiIpFIxILWHTt2pNjYWLp9+zZ7DQ5gbty4QT/99BP17duXjI2NSSgU0oULF6hLly4MPFSJtrY2aWtrU40aNej9+/eUk5NDKSkpjLDG5/PJzMyMCgoKaPz48XTixAlydHSsbLl/kthmRER5AD6oOL+y18iq9ItQkP8UoPxdTN1/o4hEIurSpQt16dKFSktL6fHjx/Tbb7/RoEGDSFtbm3r16kV9+/Yla2trsrCwoNLSUsrJyaGMjAyKiYkhHR0dMjExISMjIxIKlX9mPp9PBw8eJBcXF3r27BmdOHGCbt26RSNGjKDx48dTZGQkTZkyhb755hvKy8ujoKAg0tfXJ6lUSjk5OWzcCMesjYuLo4yMDCIqY61yUrNmTXJzcyN7e3uqWbMmGRoakpaWFhGVgdDw4cOpdevWNGnSJJXfQadOnahv37507do1peMXLlygCxcuEFHZmAtzc3P2GefOnUudO3em2rVrk42NDQkEAkpMTKRJkyZRcHAwDR8+nC5fvkxTpkyh+vXr06xZs4iIaOPGjdShQwdKTU2l8PBwSk1NpRUrVpSlQqth+YlEIjIzMyMzMzMCykoTrl27Rjt27CC5XE5Dhw4lHR2d6vz0/2n5TwFKs2bNKDY2lhITE8nq/9o797Cqq3SPfxaChJqCEOBtlIuaIJbmDcOSRsYEhsakBE3LLMcJm9SpjJP66NRQNqMny2aeM97LM6JhYUpqDGqgea3EOxcFU/Ho1hAUTWHznj9+e/9kCwgmmjXr8zy/B/bvutfm2S9rveu7vm+bNiQnJ/Ovf/3L4ZyYmBiWLFlCaGgoKSkpPPLIIyiliImJYfjw4UyaNImioiLy8vLo3bt3LU+6s3BycqJHjx7mcKWwsJBVq1bxwgsvcP78eSIiIoiOjiYkJAQvLy9EhNLSUiwWCwUFBbi6uprrjOxTur6+vixatIjY2FhefvllysvLSUlJwcXFhWnTptGlSxdWrFhhyuTz8vLMoGHH29ubwMBAIiIizKAxe/ZscnNzUUrRsWNH/vGPf1Rrj9VqJSsri/z8fKKjo9m7d68Z/FxcXMzzzpw5U22qHKBPnz68+uqrBAYG0r59e6xWKz179qRr167ExMTQvHlzM3AlJyczYcIEnJycWLJkCRcvXmT58uUMGzaMnj17cuLECZKSkjhz5gwLFy5k5syZLFmyBDc3Nzp37sy2bdtM+byHh0e1mks1oZTC3d2dyMhI5s2bx5QpUygrK2PixIk0adKE5cuX13TZCaBdlddtbftqOue4UsoZaIFRl/h619a0/yzgrpRytvVSqp5f2zPqRx1JljuOW6HUjYuLE19fX3F2dpY2bdrI/Pnzb2+jboKzZ8/Khx9+KEOHDpWuXbvKH/7wB0lLS3NYAV3VxX/Tpk2yb98+cxrUPpULNdfc8fLykr59+8qIESNk2rRpsnjxYklPT5dt27aZZlRVTcDtfrl2qf+1M0n27aWXXhJnZ2c5evSonDx5Uvbs2WOKwg4ePCipqanSqlUrady4sQwfPtyczbH/3Lp1q5SVlZlGRWDUgraLzDZv3mw62PXo0UN2794tZWVlEh4eLv7+/uZM04ULF0xBnVJKdu7cKZ6enhIbG+sw4/bNN9/Iv//9b9myZYvk5ubWWcny5MmTEhoaKp9++qnD38tqtdb0Z4Q6ahDbzmlIYdvHOCZlX7jeM+q7/ewCiqZ2Ll26JGlpafL8889LcHCwxMXFydKlS+X//u//HGZl7EXqMzIyZP369eb0bExMjEyZMkUWLVokWVlZ5vqd623XmlHt3r3bLAfSvHlz6d69e7U1TKWlpdK6dWuJjIysdr9Tp07JCy+8YJZlTU5OlqKiIlPubw8qDzzwgJSUlEhmZqZpDlVQUCBlZWWyceNG6dChgzg5OcnkyZNl7969kpmZKStXrhQnJyeZMGGCw9R1SUmJ6cpmX9/08ccf1ziVbK+o8OWXX5r6nqpWn/YAPmDAAFm6dGl9/3T2gHE73dr8bffIt93Tta5n1GfTStlfKFarlZ07d5KamsoXX3yBt7c3UVFRREVF4ePjg1IKq9XKqVOn2L59u6nmtA896tO1r+mZdnXt1KlTWb9+PQALFy5k2LBh5nmZmZkMHjyYxYsX88QTT5j7jx07xujRo9m6dStPPfUUM2fO5PLly5w5c4bS0lKSkpLYsGGDef60adMYOXIkAwcOpFOnTqxcuZJZs2bx5ptv0qZNGxYuXEhoaKh5/vvvv89rr71GcnIyXl5etGjRwpyVyc/P56GHHuKHH37A2dkZi8VC48aNr9tee1L8zJkzXLhwgXXr1tG5c2dWrlzJY489xrhx4+r70dWdpPmZoAPKfwAiQl5eHqmpqaxevZqKigoGDx5MSEgIP/zwAw899BDu7u6UlJRgsVg4e/Ysrq6ueHt7c88999T5xaqJ8+fPExoayrFjx/D09GTZsmWmvH3SpEmkpKRQUFBg5jrsOSGr1cqcOXMcApC9DSdOnODhhx/m1KlTiAhubm4sX76cmJgYZs6cyerVq9m8eTOxsbHMmTMHd3d38/rKykrCwsIoLS1l4sSJ5ObmkpOTQ15eHsePH6eiosI8VynFhQsXbqi9lZWVrF+/nnfffZeCggJzqUVMTAy+vr51Xa4Dyn8y69at46WXXsJqtfLcc8/x2muvORy/fPkyo0aN4uuvv8bT05Ply5eb2oO33nqLBQsW0KhRI9577z0GDRrEsWPHGDVqFKdOnUIpxdixY3nppZduyXsXEU6fPs2iRYt455136NKlC7179yYqKorevXubsyVlZWVYLBYsFguA2Xtp2rRpvZ/17bffMmDAACoqKnjjjTd4/PHHKSoqYsiQIYSHhzN//nycnJxITExk/vz5PPDAAyxevBh/f/9a77l9+3YGDhxodrHbtGnDqVOncHNzo7KykhkzZnDfffeZs1D5+fnk5+eTl5fnoGm56667CAgIMPU97dq1w9PTk0OHDhESEkJQUBD33HNPvf1sKisrGT9+PO3atePPf/4zhw8fZs2aNXTp0oVBgwbVdfkvJqDoHMoNcivk/0VFRfL111+LiOHQ37Fjx1tm1G3n0qVLZonWTz75REaNGiVBQUHy9NNPy4oVKxzk98XFxZKbm2sWqa9pFXJtm90Qu2nTplJUVCTJyckCyIIFC2Tp0qXi5+cngIwbN65OxWlpaalkZmZKQkJCteSxm5tbjSuGO3XqJIMHD5a+ffsKGCbTVSs/1rTZZfpV/WyuV7/p/PnzkpCQIH/84x9rS7rWRYOtpfmpN91DuUG2bt3K9OnTzfyAfQVsYmKiec6gQYOYPn06oaGhVFRU4Ovri8ViMd3P7OdWPa8qjz32GOPHjyciIuJ2NMmkoqKCzZs3s2rVKjZs2ED79u2Jiopi8ODBeHp6mnmXa1che3t707JlyxrzLpWVlYSHh7Nr1y5Gjx5NSUkJmZmZTJkyhcTERJo1a8asWbMICgri3Llzpn7mrrvu4ujRo2ZPIy8vj+zsbIqKivj++++rPSc8PJxOnToREBCAj48PLVq0wM3NjebNm+Pl5cVvf/tbWrZsSXp6+g19JpWVlZw7dw6LxUJxcTF33XUX99xzj+naJiL85S9/4eTJkyxYsOC6gkI7NfRwHXooSilX4EPgAYwp22EiUmg7lgiMAazAH0VkvW3/QiAaOC0iXavcazrwPGCx7fovsdk/1navm+FnpUO5E7jV8v/CwkK+/fZb+vS5ViR563F2dmbAgAEMGDCAyspK0zM1Li4OFxcXBg8eTHR0NH5+fnh7eyMi5pfN7qdqt0yw512cnJxITk4mODiYRYsW0bhxY9q2bcuECRMYMGAAiYmJlJSUsH79evLz88nJySE/P5/Tp087vDcvLy/8/f157LHHCAgIwMPDg8TERCorK7lw4QJvvPEG3bt3d7hGRLhw4QJbtmzh0KFDTJw4kaNHj+Ll5VXvoVtNcnuLxcKnn37K7Nmz8fPz4/Lly6SlpdUrmFitVhISEkhPT6dt27b06tWLxMTEIBGpKrEfAxSLSKBSKg6YCQxTSgVhTOUGA62BfyulOomIFaNO8VyMQHQt/y0if6u6o457/Wh0QLmDuHDhAkOHDuXdd9+t6jX6k+Dk5ERISAghISFMmTKFEydOsGrVKv70pz9x9uxZU8XavXt300O2rKyM06dPk52djVIKLy8vvL29adWqFbNnzyYhIYErV65w5MgRPDw8+PLLL9m0aZP5TC8vLwICAoiIiDDzGvbE6t13302rVq1MvxilFB4eHgwfPhw3NzdeeeUV0tPTHfIdSinuvvtutmzZgrOzMy+88IKZoP7hhx/w9PTEy8sLd3f3euVJ4KrcvkOHDpw9e5bU1FTatm1Lz549CQsL429/+9t1Tcp37NhBYGCgmSeKi4tjz549N7tmZ6uIZCqlOtSrEVefUeO9buAe1dAB5Qa5VfL/8vJyhg4dyogRI3j88cdvT2PqiVKKtm3bkpCQQEJCAiUlJXz++ed88MEH7Nu3j9DQUHMRo5+fn/lf22KxkJOTw+XLl3nwwQdNcyF/f3969OhBx44dCQgIMH9WNbcG4795dnY2Pj4+eHt7c/bsWQoKCigrK8PDw4OwsDBGjx7N4sWL2bp1KykpKQ7T0GAMWeyK6datWwPG38dqtfL9999z8uRJDh06dN2lCjWxYsUK1q5dS3p6Ok2aNKG8vJytW7fW6XRfUw+Xq+to7PyYNTvXY7xSahSwC/iTiBTfxL2uiw4oN8itkP+LCGPGjKFLly5MmjTpJ2pZ/WnRogXx8fHEx8dz5coVNm3aRGpqKlOmTKFz585ERUUxaNAgs0SIPe+yfPlyTp8+Te/evU13tNr0LlWDiT3o+vr64uvrS2VlJcXFxVgsFh5//HE2bNjAiRMnSExMJCoqypyKBmNW6LvvvmPatGkO969a9kTk6lKFwsJCXFxczGM1BYi0tDTmzZvH559/bj7LxcXFLHNyh/EP4A2MfOgbGHWUa1481RDUkbXV1EBDy/+zsrIEkJCQELnvvvvkvvvuk7S0tNvfsJvEarXKrl275PXXX5devXrJwIEDZdasWZKTk+NgHnX8+HHTU8RepL7qUoHS0lLJysqq0aekJvVqenq6uWxg9OjRcvDgQdPRbuzYseLm5uagFq5rsxtIZWVlycaNG2XPnj2yZ88eKS0tlbS0NOnZs2dVt7U6qeoyOG7cuGqePsAUHE2NvuSqGfXrGEnTHIwKf4m2/QuBy8Bhuap+7YCRfD2E4VP7KeBe5dgPGLaOu23PqWZsLTcwo1PTpmd5NLcEEaGgoMAU05WVlfHoo48SFRVFcHAwTk5OiIiD3qVRo0Z4enpisVho3br1Da0Gt6tgXVxc+OKLL3B2dubSpUsMGzaMsLAwli1bVu88SVUqKio4e/YsSUlJpKenU15ezsyZM4mNja1zeANGT6tTp05mErZnz54UFxeTmZlJmzZt6NWrF3v27HkTuEdExtmSsK8AO4H3gLW231/BCDTFGLmO32H0Ns6JbVbHlkPZBASKMVSaCTQVkfG2Y1uBL0UkTikVDPzLdq/WQAbQUW4yKVt3Wlqj+REopfD392fSpEls3LiRzz//HH9/f2bOnEm/fv149dVXycrKwtXVFT8/P3r37k2XLl0oKiqioqKC48ePk5+fT0lJCXX80wMgISGBsLAwysvLefvtt+nRowfnz5+nuLiY/v37s23bNg4cOGAagtcXZ2dnfHx8GDNmDC1atGD27Nns3r2b0NBQ5syZU+f1VZOwjRs3Jj4+nl//+tcMGjSILl268OSTT4LxpW6slIrBSMK2x8iZZGF8R18VkQLgIEZQOICxxuf1Kp/3MtuxNkChUmoMRo4kUim1FyMwNQUmAohRvGuF7V7rgISbDSbYbqyHPD9jGtq0+9KlS9KrVy/p1q2bBAUFybRp0xr8PV+8eFFWr14tY8aMkeDgYBk+fLgsWrRIZs6cKTk5OeaCvapF6u1ertcTpB0+fNgUt61bt06GDx8u7u7u8v3335tDrW+//dZhqFVcXFznEOibb76RkJAQOXjwYLV21EV9andzgwW8qrzuAOyTWr6/wGr79bZzy4BvMXo6/Wu77mY2nZT9GVOTpiEmJoagoCDznAULFuDh4UF+fj7JyclMnjyZ5cuXc+DAAZKTk9m/fz9FRUUMHDiQ3NxcXF1d2bBhA82aNaO8vJywsDAGDx5creTGzeDm5kZ0dDTR0dFYrVa2bt3KM888g7u7O5s2bSIqKorIyEi8vb3x8fFxEJfl5eXRtGlTU1xW1T/F19eXefPmMWLECEaOHMmlS5cYOnSo6QHj4eGBh4eHw1ArOzsbqH1pwXfffcczzzzDkiVLuPfee6u1407FVlajAvhf266TwK9E5KxS6gEgVSkVLCKltd7kR6ADys+YmjQNq1atcggoq1atYvr06QDExsYyfvx4RIRVq1YRFxdnDjkCAwPZsWMHoaGhNGvWDDCmssvLy39U7qG+NGrUiLCwMNatW0dAQAA5OTmkpqYycuRIRITBgwcTFRVFp06daNmypSlWq61I/e9+9zseeeQRc1WybUjhgFKKZs2a0axZM3OK+8yZM6Y+BQznuaCgIOLj4/n73/9eTTR3PaoqYSMiIqpJBXx8fBg2bJi51gtDDWs3NXodozexxba1s73nhcAIYADGsMj8CJVS6bZrCoEnMTQm0Ri9kTyl1EXgGRH5BkBEvlZKHQY6YUwlNxg6h/IzpiZNw7XK2+updmu71mq1cv/99+Pt7U1ERMRtUe0GBgailOLee+/ltddeIysri5UrV+Lt7c3UqVMJCwtj6tSpbN++nSZNmuDv70/v3r0JDg5GKcXBgwfZvn07hw8fZt68eaZqtUePHnU+29XVlTZt2nD//ffTq1cvXFxcWLBgAQ8++CDe3t6cPn2asrKyerXD3mtcu3YtBw4cYMuWLaYZ+JUrV0hOTuby5ctmr3HixIkAzYCnberVsRizM48CA4E4mxR/PcYMzrVO215Ahoh0xEis/g/wKjAHw1ipo+2e85RSjQCUUv62/Ufq1agbQAcUTTUaNWrE7t27OX78ODt27GDfvn23/T0opfD19WXs2LGsWbOGzMxMQkNDWbRoEX379mX8+PGsXbsWEaFdu3amRWbTpk2xWCy8+OKLjB49mvLyciorK+v93EaNGtGxY0fOnDnDP//5T2bMmMHOnTt55JFH6hVU6pOE3blzJ1euXOGzzz4jNjYWbi4J6wX80ZaEXYIx+3M3Rv6lC/APEdmGUWL0gFJqN0YPZ5yIVF8UdZPoIc/PmFtt2u3u7k54eDjr1q2ja9eu/JTcfffdxMbGEhsbS3l5OZs3byY1NZUZM2bg7+9vLmK0i9+Cg4NN8Vtubi7NmjUz8y7XU8JevHiR+Ph4xo8fz5AhQwBuKH9UW88vNzfX3Lds2TIWLFhgV8kClGCU/5wObBNb2QsM9eq/RWQcmNPCrwCISLxt3zkRaW37XQEXRaSdUmoN8LaIbLbd6xAwWUQadIhzLTqg/Iy5Fapdi8WCi4sL7u7uXLp0ifT0dCZPnvwTtbBmXFxcCA8PJzw8nMrKSvbu3UtqaqqpDYmMjCQ6Opr27dvj6emJiHD+/HksFgvfffcdzs7ONSphr1y5wqhRo4iLi2PEiBH1fj9VcyZ9+vSplqy1Wq0OOZPy8nLzmG21+q8wpnj3236ilHoUGIox7RsoIm/bLvGz9TIAvDGmglFKDQBWAU1tx3+ajHEd00CaO5yGVu1mZ2fL/fffLyEhIRIcHCwzZsy4/Y36kVRWVsrRo0flvffek4iICOnZs6dMnjxZNm/e7DDdfG3d5xkzZsgXX3whQ4YMkb/+9a9SWVlZ72de648TEBAg/fr1M48nJSVJTEyMgz+Oj4+PfPXVV7J//34JCQkRjJo3fhjJ2f/iasW/TKA/top/XDNNDKzEmL1phZGsTQdybMf+B4ivcm4O0Ep+5HRwfTcdUDS/WIqLi2Xp0qXyxBNPSNeuXWXs2LGyevVqB+3JuXPn5N1335Xu3buLj4+PvPjii5KRkSFXrlyp1zOuLY/7xhtviIeHhxw5csQ04OrXr59DedymTZvK2LFjJSkpSYYNGyZcda/fDOQBD9mCid29PtG2mQEFaI6hmp0DvGYLKAeBd2zHozDEbAroC+yQWxxMREQnZTW/XNzd3RkxYgQrVqxg165dDBkyhDVr1hAWFsYzzzxDSkoKZWVl5Obm0r9/fwoKCoiKiiIlJaW22jnVuDZn0r59e/r16+eQhC0pKWH58uV89tln5nDr5MmTvP322+zcuROMgABGL2InhoK1G1fVq8eB0RhJ2M5KqePAbIxZnT8DEcBSIABjiLQWYwr5CMb6oHkYNYtvPXVEHI3mF4fVapUdO3ZIYmKi+Pv7S3h4+I+1bqyXEjY4OFiOHTtmvvb39xeLxSIJCQny0UcfiVyjhLVt86vsHwnMlSrfTYzex9Aqr5sDzWy/RwJ5chM9jR+76R6KpsGwl5EIDAw07S6rcvnyZYYNG0ZgYCB9+vShsLDQPPbWW28RGBhI586dTXtNO1arle7duxMdHd0g79PJyYlevXqRlJREbm4u69evr5fbGlRv47WzZYWFhWRmZjq00X7OW2+9RUBAAIWFhezatcvcr5R6VCmVA8RjFDE/AbRTSi1WShVgOLY9rpS6H0Ap5YUxxHlHKbVHKdVDREpF5AKAGBaPLrbzbi91RByNpl7cCvNuO7NmzZL4+HiJioq6fQ2qgZramJ2dLX5+fmbOpE2bNvLEE0+IyNU2zp07V5588knp1q2bfPjhhxIZGSn+/v6SnZ0t3bp1E4wE7EMYQ5RsIMT2ewqGTaNDFUHgfYxhkD0/sh1DZ2J3D+gNfGd/fTs33UPRNAjXCrrsywCqsmrVKp5++mnAWAaQkZGBSO3LAMDQx6SlpfHcc8/d9jZdS01tTEtLY+7cuWbOxM3NjYkTJzJt2jRcXV3JyMjg2Wef5cCBAxw/fpz333+f999/n8DAQMrKyuwal1YYeY4EIBlDNj8eIzfyLkbSdn+VtzIU+MgW57YB7himSfuUUtkYtgdxYosutxMdUDQNwq1aBjBhwgTeeeedeg9JbiW1vc/IyEhyc3M5fPgwrq6uZm2eIUOG0KJFC8rKynj44YeZM2cOO3bswN/f37zWVtngXyLSWUTWYrNiFGPY8imG6G2YUuq/bRJ8gG+AtCpv7TjwhYgEi8h9ItJXRL66HZ/Jtfz0fyWNphbWrFmDt7c3DzzwwE/9Vn4qEoF7gV5AS+DOUhjWgA4omgbhRpYBAPVaBrBlyxY+++wzOnToQFxcHBs2bOCpp566PQ2yUTUJm5GRUevKYXsStmXLluY5b775JoWFhfTr14+ysjJz/7p160hOTmbChAlkZGTA1RXF/4sxHRxrW118xjZsCcUY5vzJpoL1sV9joy1GIvenp44ki0ZTL8rLyx2Sk926dZN9+/Y5nDN37lyHpKw9eblv3z6HpKyfn59DUlZEZOPGjbc9KXttEjYkJETatm3r0MbXX3/doU3du3eX3//+97J//3751a9+JUOHDpUjR45I27ZtpVu3blJWVibt2rWTdu3aycWLF+1K2WMYStkYbAlYYBnG2hswZnSOYKzNgZ9ItFafTa/l0TQIzs7OZnLSarXy7LPPEhwczLRp0+jZsycxMTGMGTOGkSNHEhgYSMuWLUlOTgYgODiYJ598kqCgIJydnfnggw9qdcO/nVzrNxMfH09OTo5DG+3esPaVwwkJCQQEBNC/f3+aNGnCO++8g5+fH0FBQXTo0IGOHTty7tw5UlJScHNzIz4+nr1792Zg2BM0AhaKyH6l1A7gJaXUUxj2Bi7Am7a39jmG1iQfuIgherszqCPiaDT/sTSQaE1ERJ599ln5+OOPa7wn1UVrLhiJ1/5ytYdyFqP3spYqU8h32qZ7KBrNncffgUwRybK9/gZoLyIXlFKRQCqGQdIdh07KajQ2boUK1n7PZcuWkZGRYe4vKCigT58+TJgwAeAhpVRjAKXUn4HBQLRSartSqoPcKSrY+lBHF0aj+Y/gVqlg/fz8ZNOmTdKhQwcJCQkx7xkZGSkfffSRXSm7HMNg6TmM5Os8MYY6cbZjd4QKtj6bDigajVS3IUhKSpKkpCQHv5nAwED56quvZOrUqfLJJ5+Ip6enXLx4Ubp27SotW7Y0/WZ+85vfyFdffWVWLbT7zdjvuWbNGnFycjI9bDCmhddjuNRfBHIxqvtNx/BKGY9hvpSNYcDUT+6A4FHTpnMoGg01q2C3b99OYmIikZGRAHTt2tVUwQK8/PLLpgq2b9++pkamqgrWarUyf/58AM6cOcP27dt5/vnn8fPzIz8/H4ApU6bY1bHOSql9wKMichxAKTUSSBaRubfpo7gpdA5Fo9E0GDqgaDTcGqVvbfs9PT05d+4cFRUV9kNVla4nuKqcdQZaYEwZ/yzQAUWjwdHw214/JyYmxuEcu+E3UM3w215vp6CgwDT8ru2eSinCw8NJSTHrdT2NYTAN8JntNRhGSxtE5LavGv7R1JFk0Wj+Y2how+/a7ikicvjwYenVq5cEBAQI8DHgKkbcuMv2Oh/YAfjLHZBsre9mn4qqNd7c6oCm0Wi4dbVebzN6yKPRaBoMHVA0Gk2DoQOKRqNpMHRA0Wg0DYYOKBqNpsHQAUWj0TQYOqBoNJoGQwcUjUbTYOiAotFoGgwdUDQaTYOhA4pGo2kwdEDRaDQNhg4oGo2mwdABRaPRNBg6oGg0mgZDBxSNRtNg6ICi0WgaDB1QNBpNg6EDikajaTB0QNFoNA1GXZUDfzHmuRqN5tajeygajabB0AFFo9E0GDqgaDSaBkMHFI1G02DogKLRaBoMHVA0Gk2D8f+8nrVHJ+ylGAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "nx, ny, nz = 6,2,2\n", "l = 530e-6\n", "d = 65e-6\n", "\n", "coords, conn = octo_truss(l,nx,ny,nz)\n", "\n", "\n", "\n", "Nnodes = len(coords)\n", "Nel = len(conn)\n", "\n", "\n", "areas = np.pi*d**2/4*np.ones((Nel,1))\n", "\n", "\n", "p0=np.array([1,1,1])\n", "\n", "plot_truss(coords, conn, aspect=(nx,ny,nz))\n", "\n", "print(\"Elements : \", Nel)\n", "print(\"Nodes : \", Nnodes)" ] }, { "cell_type": "markdown", "id": "attached-laundry", "metadata": {}, "source": [ "# Initialize constitutive law" ] }, { "cell_type": "code", "execution_count": 3, "id": "powered-express", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "E = 430e6\n", "Ep = 0\n", "Ce = E\n", "max_sigma = 11e6\n", "\n", "sigma_law = lambda epsi : Ep*E*epsi+max_sigma*np.tanh( (1-Ep)*E/max_sigma*epsi)\n", "\n", "epsi_law = lambda s : max_sigma/E*np.arctanh(s/max_sigma)\n", "\n", "Elaw = lambda epsi :Ep*E + (1-Ep)*E*(1-np.tanh( (1-Ep)*E/max_sigma*epsi)**2)\n", "\n", "\n", "\n", "\n", "x = np.linspace(-0.1,0.1,10000)\n", "plt.figure()\n", "plt.plot(x, sigma_law(x))\n", "\n", "plt.xlabel('$\\epsilon$')\n", "plt.ylabel('$\\sigma$')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "id": "wooden-material", "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2700\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create a dataset by sampling along sigma in the stiff zone and along epsilon for the soft zone\n", "\n", "multi = 100\n", "Ndatax = 15*multi\n", "Ndatay= 12*multi\n", "Ndata = Ndatax+Ndatay\n", "print(Ndata)\n", "max_epsi = 0.2\n", "noise_s = 0\n", "noise_e = 0\n", "\n", "sigma_l = 7e6\n", "#sigma_l = 200\n", "\n", "transition = 275/300*max_sigma\n", "\n", "DBsigmas1 = np.linspace(0,transition,Ndatay)\n", "DBepsis1 = epsi_law(DBsigmas1)\n", "\n", "DBepsis2 = np.linspace(np.max(DBepsis1)+max_epsi/(Ndata),max_epsi,Ndatax)\n", "DBsigmas2 = sigma_law(DBepsis2)\n", "\n", "DBsigmas = np.hstack([DBsigmas1,DBsigmas2])\n", "DBepsis = np.hstack([DBepsis1,DBepsis2])\n", "\n", "DBsigmas = np.hstack([-DBsigmas[::-1],DBsigmas[1:]])\n", "DBepsis = np.hstack([-DBepsis[::-1],DBepsis[1:]])\n", "\n", "dataset = np.array([[e+random.gauss(0,noise_e),s+random.gauss(0,noise_s)] for e,s in zip(DBepsis,DBsigmas)])\n", "\n", "\n", "x = np.linspace(-max_epsi,max_epsi,1000)\n", "\n", "\n", "\n", "plt.figure(figsize=(5,3))\n", "plt.plot(dataset[:,0], dataset[:,1]/max_sigma, '.', color='tab:blue', label=\"Synthetic dataset\", markersize=12)\n", "plt.plot(x, sigma_law(x)/max_sigma, 'y', lw=2.5, label=\"Underlying \\nconstitutive law\")\n", "plt.plot([-epsi_law(sigma_l),epsi_law(sigma_l)],[-sigma_l/max_sigma,sigma_l/max_sigma],'r-', lw=7, alpha=0.5, label=\"Linear elastic domain\")\n", "plt.xlabel('$\\epsilon$ [-]')\n", "plt.ylabel('$\\sigma/\\sigma_l$ [-]')\n", "plt.tight_layout()\n", "plt.legend()\n", "plt.savefig('dataset.pdf',bbox_inches=\"tight\")\n", "plt.show()\n", "\n" ] }, { "cell_type": "markdown", "id": "thermal-ballot", "metadata": {}, "source": [ "# Boundary Condition" ] }, { "cell_type": "code", "execution_count": 5, "id": "sharp-combination", "metadata": {}, "outputs": [], "source": [ "# Return the BC functor for a given displacement d\n", "# Apply a displacement on the nodes at the center top of the beam\n", "\n", "def applyBC_d(coords, conn, d):\n", " \n", " def applyBC(coords,conn):\n", " blocked_DOF = np.zeros_like(coords)\n", " u = np.zeros_like(coords).astype('float')\n", "\n", " for i, p in enumerate(coords):\n", " if p[0]<10e-5 and p[2]<10e-5:\n", " blocked_DOF[i,:] = True\n", " \n", " if p[0]>nx*l*np.sqrt(2)-10e-5 and p[2]<10e-5:\n", " blocked_DOF[i,:] = True\n", "\n", " if (p[0] > (nx-0.1)*np.sqrt(2)*l/2 \n", " and p[0] < (nx+0.1)*np.sqrt(2)*l/2\n", " and p[2]>nz*l*np.sqrt(2)-0.1*l):\n", " blocked_DOF[i,:] = True\n", " u[i,2] = -d\n", " \n", " #blocked_DOF[:,1]= True\n", " \n", " blocked_DOF = blocked_DOF.ravel().astype('bool')\n", " u = u.ravel()\n", "\n", " free_DOF = get_free(blocked_DOF)\n", "\n", " F = np.zeros_like(coords).astype('float')\n", " F = F.ravel()\n", "\n", " return blocked_DOF, free_DOF, u, F \n", " return applyBC\n" ] }, { "cell_type": "markdown", "id": "dietary-syndrome", "metadata": {}, "source": [ "## Linear Solve" ] }, { "cell_type": "code", "execution_count": 6, "id": "vital-russia", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Simulated load response : -0.45601175072062694\n" ] } ], "source": [ "applyBC=applyBC_d(coords, conn, 0.4*l)\n", "blocked_DOF, free_DOF, u, F = applyBC(coords, conn)\n", "\n", "K = compute_K(coords, conn, areas, E)\n", "\n", "u=solve_static(K,u,F,blocked_DOF)\n", "F=K.dot(u)\n", "\n", "# Mask of the points where the displacement is imposed\n", "mask = np.logical_and(np.isclose(coords[:,0], l*3*np.sqrt(2)),np.isclose(coords[:,2], l*2*np.sqrt(2)))\n", "load = np.sum(F.reshape((-1,3))[mask], axis = 0)[2]\n", "print(\"Simulated load response : \", load)\n", "\n", "u_lin = u.copy()" ] }, { "cell_type": "code", "execution_count": 7, "id": "timely-vatican", "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_truss(coords,conn, u.reshape((-1,3)), duplicate=True, aspect=(nx,ny,nz))" ] }, { "cell_type": "markdown", "id": "pediatric-conflict", "metadata": {}, "source": [ "# Newton Raphson Solve" ] }, { "cell_type": "code", "execution_count": 8, "id": "supposed-collectible", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Succesfull converge in 5 steps\n", "Simulated load response : -0.2579971535243555\n", "CPU times: user 19.4 s, sys: 8.05 s, total: 27.4 s\n", "Wall time: 7.74 s\n" ] } ], "source": [ "%%time\n", "applyBC=applyBC_d(coords, conn, 0.4*l)\n", "blocked_DOF, free_DOF, u, F = applyBC(coords, conn)\n", "\n", "\n", "u,F= NR(coords,conn, areas, sigma_law, Elaw, u,F, free_DOF, max_iter=100)\n", "\n", "load = np.sum(F.reshape((-1,3))[mask], axis = 0)[2]\n", "print(\"Simulated load response : \", load)" ] }, { "cell_type": "code", "execution_count": 9, "id": "apparent-istanbul", "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_truss(coords,conn, u.reshape((-1,3)), duplicate=True, aspect=(nx,ny,nz))" ] }, { "cell_type": "code", "execution_count": 10, "id": "agricultural-brook", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\n", "B, _ = compute_B_and_weights(coords,conn,areas)\n", "\n", "plt.figure()\n", "plt.plot(x, sigma_law(x))\n", "plt.plot(B.dot(u), sigma_law(B.dot(u)),'o')\n", "plt.xlabel(\"$\\epsilon$\")\n", "plt.ylabel(\"$\\sigma$\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "vietnamese-button", "metadata": {}, "source": [ "# Pure DD" ] }, { "cell_type": "code", "execution_count": 11, "id": "hispanic-amsterdam", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 233 ms, sys: 1.17 ms, total: 235 ms\n", "Wall time: 233 ms\n" ] } ], "source": [ "%%time\n", "orderDP = Dataset(dataset, E)" ] }, { "cell_type": "code", "execution_count": 12, "id": "determined-bangkok", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Succesfull convergence in 346 steps\n", "Simulated load response : -0.2651939239130935\n", "CPU times: user 18.8 s, sys: 43.8 s, total: 1min 2s\n", "Wall time: 14.3 s\n" ] } ], "source": [ "%%time\n", "applyBC=applyBC_d(coords, conn, 0.4*l)\n", "\n", "isDD = np.ones((len(conn),1)).ravel()\n", "isDD = isDD.astype('bool')\n", "\n", "u, F, comp, guess, eta = solve_DD(coords, conn, areas, E, isDD, orderDP, applyBC, max_iter = 1000)\n", "\n", "load = np.sum(F.reshape((-1,3))[mask], axis = 0)[2]\n", "print(\"Simulated load response : \", load)" ] }, { "cell_type": "code", "execution_count": 13, "id": "spectacular-reporter", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(x, sigma_law(x))\n", "plt.plot(dataset[:,0], dataset[:,1], 'o', label=\"Dataset\")\n", "plt.plot(comp[:,0], comp[:,1],'o', label=\"Admissible solution\")\n", "plt.plot(guess[:,0], guess[:,1],'.', label=\"Closest datapoints\")\n", "plt.xlabel(\"$\\epsilon$\")\n", "plt.ylabel(\"$\\sigma$\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "senior-dubai", "metadata": {}, "source": [ "# D-refinement" ] }, { "cell_type": "code", "execution_count": 14, "id": "minute-noise", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Succesfull convergence in 0 steps\n", "120 element(s) have been refined\n", "Succesfull convergence in 370 steps\n", "Refinement complete after 1 steps.\n", "120 DD driven elements for a total of 688 elements\n", "Simulated load response : -0.2631473822192255\n", "CPU times: user 9.94 s, sys: 21.3 s, total: 31.3 s\n", "Wall time: 7.47 s\n" ] } ], "source": [ "%%time\n", "applyBC=applyBC_d(coords, conn, 0.4*l)\n", "blocked_DOF, free_DOF, u, F = applyBC(coords, conn)\n", "isDD = np.zeros((len(conn),1)).ravel()\n", "isDD = isDD.astype('bool')\n", "u, F, comp, guess, eta, isDD = solve_DD_drefine(coords, conn, areas, E, orderDP, sigma_l, \n", " applyBC, isDD=isDD)\n", "\n", "load = np.sum(F.reshape((-1,3))[np.logical_and(np.isclose(coords[:,0], l*3*np.sqrt(2)),np.isclose(coords[:,2], l*2*np.sqrt(2)))][:,2])\n", "print(\"Simulated load response : \", load)" ] }, { "cell_type": "code", "execution_count": 15, "id": "asian-column", "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_truss(coords, conn, u.reshape((-1,3)), isDD=isDD, aspect=(nx,ny,nz))" ] }, { "cell_type": "code", "execution_count": 16, "id": "alien-construction", "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(x, sigma_law(x))\n", "plt.plot(dataset[:,0], dataset[:,1], 'o', label=\"Dataset\")\n", "plt.plot(comp[:,0], comp[:,1],'o', label=\"Admissible solution\")\n", "plt.plot(guess[:,0], guess[:,1],'.', label=\"Closest datapoints\")\n", "plt.xlabel(\"$\\epsilon$\")\n", "plt.ylabel(\"$\\sigma$\")\n", "plt.legend()\n", "\n" ] }, { "cell_type": "markdown", "id": "higher-toilet", "metadata": {}, "source": [ "# Incremental loading" ] }, { "cell_type": "code", "execution_count": 17, "id": "spiritual-intake", "metadata": {}, "outputs": [], "source": [ "ds = np.linspace(0,0.4*l,21)\n", "B, weigths = compute_B_and_weights(coords,conn,areas)\n", "\n", "mask = np.logical_and(np.isclose(coords[:,0], l*3*np.sqrt(2)),np.isclose(coords[:,2], l*2*np.sqrt(2)))" ] }, { "cell_type": "code", "execution_count": 18, "id": "piano-webster", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--== d 0.0 ==--\n", "Succesfull converge in 0 steps\n", "--== d 1.06e-05 ==--\n", "Succesfull converge in 3 steps\n", "--== d 2.12e-05 ==--\n", "Succesfull converge in 3 steps\n", "--== d 3.18e-05 ==--\n", "Succesfull converge in 4 steps\n", "--== d 4.24e-05 ==--\n", "Succesfull converge in 4 steps\n", "--== d 5.3e-05 ==--\n", "Succesfull converge in 4 steps\n", "--== d 6.36e-05 ==--\n", "Succesfull converge in 4 steps\n", "--== d 7.42e-05 ==--\n", "Succesfull converge in 4 steps\n", "--== d 8.48e-05 ==--\n", "Succesfull converge in 4 steps\n", "--== d 9.54e-05 ==--\n", "Succesfull converge in 4 steps\n", "--== d 0.000106 ==--\n", "Succesfull converge in 4 steps\n", "--== d 0.0001166 ==--\n", "Succesfull converge in 4 steps\n", "--== d 0.0001272 ==--\n", "Succesfull converge in 4 steps\n", "--== d 0.0001378 ==--\n", "Succesfull converge in 4 steps\n", "--== d 0.0001484 ==--\n", "Succesfull converge in 3 steps\n", "--== d 0.00015900000000000002 ==--\n", "Succesfull converge in 3 steps\n", "--== d 0.0001696 ==--\n", "Succesfull converge in 3 steps\n", "--== d 0.0001802 ==--\n", "Succesfull converge in 2 steps\n", "--== d 0.0001908 ==--\n", "Succesfull converge in 2 steps\n", "--== d 0.00020140000000000002 ==--\n", "Succesfull converge in 2 steps\n", "--== d 0.000212 ==--\n", "Succesfull converge in 2 steps\n", "CPU times: user 3min 54s, sys: 1min 44s, total: 5min 38s\n", "Wall time: 1min 32s\n" ] } ], "source": [ "%%time \n", "\n", "load_nr = []\n", "isLargelist = []\n", "for d in ds:\n", " \n", " print(\"--== d \",d,\" ==--\")\n", " \n", " applyBC=applyBC_d(coords, conn, d)\n", " \n", " blocked_DOF, free_DOF, u, F = applyBC(coords, conn)\n", " if d==0:\n", " u_nr = u.copy()\n", " else:\n", " u_nr[blocked_DOF]=u[blocked_DOF]\n", " \n", " try:\n", " \n", " u,F= NR(coords,conn, areas, sigma_law, Elaw, u_nr,F, free_DOF)\n", " \n", " load = np.sum(F.reshape((-1,3))[mask][:,2])\n", " \n", " load_nr.append(load.copy())\n", " u_nr = u.copy()\n", " except:\n", " print(\"NR bugged here\")\n", " load_nr.append(0)\n", " u_nr = 0*u_nr\n", " \n", " \n", " epsi = B.dot(u)\n", " isLarge = np.abs(epsi)>sigma_l/E\n", " isLargelist.append(isLarge.copy())\n", " \n", "\n", "load_nr = -np.array(load_nr)" ] }, { "cell_type": "code", "execution_count": 19, "id": "naughty-indie", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--== d 0.0 ==--\n", "Succesfull convergence in 1 steps\n", "--== d 1.06e-05 ==--\n", "Succesfull convergence in 8 steps\n", "--== d 2.12e-05 ==--\n", "Succesfull convergence in 9 steps\n", "--== d 3.18e-05 ==--\n", "Succesfull convergence in 10 steps\n", "--== d 4.24e-05 ==--\n", "Succesfull convergence in 9 steps\n", "--== d 5.3e-05 ==--\n", "Succesfull convergence in 10 steps\n", "--== d 6.36e-05 ==--\n", "Succesfull convergence in 10 steps\n", "--== d 7.42e-05 ==--\n", "Succesfull convergence in 12 steps\n", "--== d 8.48e-05 ==--\n", "Succesfull convergence in 13 steps\n", "--== d 9.54e-05 ==--\n", "Succesfull convergence in 13 steps\n", "--== d 0.000106 ==--\n", "Succesfull convergence in 17 steps\n", "--== d 0.0001166 ==--\n", "Succesfull convergence in 22 steps\n", "--== d 0.0001272 ==--\n", "Succesfull convergence in 29 steps\n", "--== d 0.0001378 ==--\n", "Succesfull convergence in 41 steps\n", "--== d 0.0001484 ==--\n", "Succesfull convergence in 52 steps\n", "--== d 0.00015900000000000002 ==--\n", "Succesfull convergence in 83 steps\n", "--== d 0.0001696 ==--\n", "Succesfull convergence in 103 steps\n", "--== d 0.0001802 ==--\n", "Succesfull convergence in 137 steps\n", "--== d 0.0001908 ==--\n", "Succesfull convergence in 219 steps\n", "--== d 0.00020140000000000002 ==--\n", "Succesfull convergence in 244 steps\n", "--== d 0.000212 ==--\n", "Succesfull convergence in 346 steps\n", "CPU times: user 1min 34s, sys: 3min 11s, total: 4min 46s\n", "Wall time: 1min 12s\n" ] } ], "source": [ "%%time \n", "initial_guess=None\n", "load_dd = []\n", "for d in ds:\n", " \n", " print(\"--== d \",d,\" ==--\")\n", " applyBC=applyBC_d(coords, conn, d)\n", " \n", "\n", " isDD = np.ones((len(conn),1)).ravel()\n", " isDD = isDD.astype('bool')\n", " u, F, comp, guess, eta = solve_DD(coords, conn, areas, E, isDD, orderDP, applyBC, initial_guess=None)\n", " initial_guess=guess\n", " load = np.sum(F.reshape((-1,3))[mask][:,2])\n", " load_dd.append(load)\n", " u_dd = u.copy()\n", " \n", "guess_DD = guess.copy()\n", "u_DD = u.copy()\n", "load_dd = -np.array(load_dd)" ] }, { "cell_type": "code", "execution_count": 20, "id": "fancy-barrier", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--== d 0.0 ==--\n", "Succesfull convergence in 0 steps\n", "Refinement complete after 0 steps.\n", "0 DD driven elements for a total of 688 elements\n", "--== d 1.06e-05 ==--\n", "Succesfull convergence in 0 steps\n", "Refinement complete after 0 steps.\n", "0 DD driven elements for a total of 688 elements\n", "--== d 2.12e-05 ==--\n", "Succesfull convergence in 0 steps\n", "Refinement complete after 0 steps.\n", "0 DD driven elements for a total of 688 elements\n", "--== d 3.18e-05 ==--\n", "Succesfull convergence in 0 steps\n", "Refinement complete after 0 steps.\n", "0 DD driven elements for a total of 688 elements\n", "--== d 4.24e-05 ==--\n", "Succesfull convergence in 0 steps\n", "Refinement complete after 0 steps.\n", "0 DD driven elements for a total of 688 elements\n", "--== d 5.3e-05 ==--\n", "Succesfull convergence in 0 steps\n", "Refinement complete after 0 steps.\n", "0 DD driven elements for a total of 688 elements\n", "--== d 6.36e-05 ==--\n", "Succesfull convergence in 0 steps\n", "2 element(s) have been refined\n", "Succesfull convergence in 2 steps\n", "Refinement complete after 1 steps.\n", "2 DD driven elements for a total of 688 elements\n", "--== d 7.42e-05 ==--\n", "Succesfull convergence in 2 steps\n", "10 element(s) have been refined\n", "Succesfull convergence in 5 steps\n", "Refinement complete after 1 steps.\n", "12 DD driven elements for a total of 688 elements\n", "--== d 8.48e-05 ==--\n", "Succesfull convergence in 8 steps\n", "Refinement complete after 0 steps.\n", "12 DD driven elements for a total of 688 elements\n", "--== d 9.54e-05 ==--\n", "Succesfull convergence in 7 steps\n", "6 element(s) have been refined\n", "Succesfull convergence in 15 steps\n", "Refinement complete after 1 steps.\n", "18 DD driven elements for a total of 688 elements\n", "--== d 0.000106 ==--\n", "Succesfull convergence in 17 steps\n", "Refinement complete after 0 steps.\n", "18 DD driven elements for a total of 688 elements\n", "--== d 0.0001166 ==--\n", "Succesfull convergence in 20 steps\n", "2 element(s) have been refined\n", "Succesfull convergence in 25 steps\n", "Refinement complete after 1 steps.\n", "20 DD driven elements for a total of 688 elements\n", "--== d 0.0001272 ==--\n", "Succesfull convergence in 38 steps\n", "8 element(s) have been refined\n", "Succesfull convergence in 42 steps\n", "Refinement complete after 1 steps.\n", "28 DD driven elements for a total of 688 elements\n", "--== d 0.0001378 ==--\n", "Succesfull convergence in 49 steps\n", "10 element(s) have been refined\n", "Succesfull convergence in 50 steps\n", "Refinement complete after 1 steps.\n", "38 DD driven elements for a total of 688 elements\n", "--== d 0.0001484 ==--\n", "Succesfull convergence in 70 steps\n", "4 element(s) have been refined\n", "Succesfull convergence in 74 steps\n", "Refinement complete after 1 steps.\n", "42 DD driven elements for a total of 688 elements\n", "--== d 0.00015900000000000002 ==--\n", "Succesfull convergence in 92 steps\n", "4 element(s) have been refined\n", "Succesfull convergence in 88 steps\n", "Refinement complete after 1 steps.\n", "46 DD driven elements for a total of 688 elements\n", "--== d 0.0001696 ==--\n", "Succesfull convergence in 131 steps\n", "Refinement complete after 0 steps.\n", "46 DD driven elements for a total of 688 elements\n", "--== d 0.0001802 ==--\n", "Succesfull convergence in 192 steps\n", "Refinement complete after 0 steps.\n", "46 DD driven elements for a total of 688 elements\n", "--== d 0.0001908 ==--\n", "Succesfull convergence in 243 steps\n", "4 element(s) have been refined\n", "Succesfull convergence in 225 steps\n", "4 element(s) have been refined\n", "Succesfull convergence in 220 steps\n", "Refinement complete after 2 steps.\n", "54 DD driven elements for a total of 688 elements\n", "--== d 0.00020140000000000002 ==--\n", "Succesfull convergence in 280 steps\n", "Refinement complete after 0 steps.\n", "54 DD driven elements for a total of 688 elements\n", "--== d 0.000212 ==--\n", "Succesfull convergence in 352 steps\n", "Refinement complete after 0 steps.\n", "54 DD driven elements for a total of 688 elements\n", "CPU times: user 1min 16s, sys: 2min 25s, total: 3min 42s\n", "Wall time: 1min 1s\n" ] } ], "source": [ "%%time \n", "load_cr = []\n", "nSwitch = []\n", "\n", "u_cr_list = []\n", "\n", "isDDlist = [np.zeros((len(conn),1)).ravel().astype('bool')]\n", "\n", "for d in ds:\n", " \n", " print(\"--== d \",d,\" ==--\")\n", " applyBC=applyBC_d(coords, conn, d)\n", " \n", "\n", " u, F, comp, guess, eta, isDD = solve_DD_drefine(coords, conn, areas, \n", " E, orderDP, sigma_l, applyBC, isDD=isDDlist[-1])\n", " load = np.sum(F.reshape((-1,3))[mask][:,2])\n", " load_cr.append(load)\n", " \n", " isDDlist.append(isDD.copy())\n", " nSwitch.append(np.sum(isDD))\n", " u_cr = u.copy()\n", " u_cr_list.append(u_cr.copy())\n", " \n", " \n", " \n", "guess_DR = guess.copy()\n", "u_DR = u.copy()\n", "isDDlist = isDDlist[1:]\n", "load_cr = -np.array(load_cr)\n", "nSwitch = np.array(nSwitch)" ] }, { "cell_type": "code", "execution_count": 22, "id": "sapphire-collectible", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "multi=1\n", "fig = plt.figure(figsize=(5,8))\n", "\n", "for i,step in enumerate([0,10,-1]): #enumerate([0,1,2]): #\n", " \n", " disp = u_cr_list[step].reshape((-1,3))\n", " isDD = isDDlist[step]\n", " isLarge = isLargelist[step]\n", "\n", " fax = fig.add_subplot(411+i, aspect='equal')\n", "\n", "\n", " plt.xlim((-0.0002,np.max(coords[:,0])+0.0002))\n", " plt.ylim((-0.0002, np.max(coords[:,1])+0.0002))\n", " for e,bar in enumerate(conn[isDD==False]):\n", " \n", " plt.title(\"Deflection l/d {0:.3f}\".format(ds[step]/6/l))\n", " barcoords = coords[bar]\n", " bardisp = disp[bar]*multi\n", "\n", "\n", " plt.plot(barcoords[:,0]+bardisp[:,0],barcoords[:,2]+bardisp[:,2], 'k', lw=2)\n", "\n", "\n", "\n", " for e,bar in enumerate(conn[isDD]):\n", " barcoords = coords[bar]\n", " bardisp = disp[bar]*multi\n", "\n", " plt.plot(barcoords[:,0]+bardisp[:,0],barcoords[:,2]+bardisp[:,2], color = 'blue', lw=4)\n", " \n", " \n", " for e,bar in enumerate(conn[isLarge]):\n", " barcoords = coords[bar]\n", " bardisp = disp[bar]*multi\n", "\n", " plt.plot(barcoords[:,0]+bardisp[:,0],barcoords[:,2]+bardisp[:,2], linestyle='dotted', \n", " color=\"lightcoral\", alpha=0.9, lw=4)\n", " \n", "plt.tight_layout()\n", "#plt.savefig('truss.png',bbox_inches=\"tight\", dpi=1000)\n", "#plt.savefig('truss_21steps.pdf',bbox_inches=\"tight\")" ] }, { "cell_type": "code", "execution_count": 23, "id": "quality-province", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--== d 0.0 ==--\n", "Succesfull convergence in 0 steps\n", "Refinement complete after 0 steps.\n", "0 DD driven elements for a total of 688 elements\n", "--== d 0.000106 ==--\n", "Succesfull convergence in 0 steps\n", "20 element(s) have been refined\n", "Succesfull convergence in 16 steps\n", "Refinement complete after 1 steps.\n", "20 DD driven elements for a total of 688 elements\n", "--== d 0.000212 ==--\n", "Succesfull convergence in 69 steps\n", "52 element(s) have been refined\n", "Succesfull convergence in 380 steps\n", "Refinement complete after 1 steps.\n", "72 DD driven elements for a total of 688 elements\n", "CPU times: user 10.5 s, sys: 20.4 s, total: 31 s\n", "Wall time: 4.97 s\n" ] } ], "source": [ "%%time \n", "load_crbis = []\n", "nSwitchbis = []\n", "dsbis = np.linspace(0,0.4*l,3)\n", "u_cr_listbis = []\n", "\n", "isDDlistbis = [np.zeros((len(conn),1)).ravel().astype('bool')]\n", "\n", "for d in dsbis:\n", " \n", " print(\"--== d \",d,\" ==--\")\n", " applyBC=applyBC_d(coords, conn, d)\n", " \n", "\n", " u, F, comp, guess, eta, isDD = solve_DD_drefine(coords, conn, areas, \n", " E, orderDP, sigma_l, applyBC, isDD=isDDlistbis[-1])\n", " load = np.sum(F.reshape((-1,3))[mask][:,2])\n", " load_crbis.append(load)\n", " \n", " isDDlistbis.append(isDD.copy())\n", " nSwitchbis.append(np.sum(isDD))\n", " u_cr = u.copy()\n", " u_cr_listbis.append(u_cr.copy())\n", " \n", " \n", " \n", "isDDlistbis = isDDlistbis[1:]\n", "load_crbis = -np.array(load_crbis)\n", "nSwitchbis = np.array(nSwitchbis)" ] }, { "cell_type": "code", "execution_count": 24, "id": "entire-brown", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "multi=1\n", "fig = plt.figure(figsize=(5,6))\n", "convert = [0,10,-1]\n", "for i,step in enumerate([0,1,2]): #\n", " \n", " disp = u_cr_listbis[step].reshape((-1,3))\n", " isDD = isDDlistbis[step]\n", " isLarge = isLargelist[convert[i]]\n", "\n", " fax = fig.add_subplot(311+i, aspect='equal')\n", "\n", "\n", " plt.xlim((-0.0002,np.max(coords[:,0])+0.0002))\n", " plt.ylim((-0.0002, np.max(coords[:,1])+0.0002))\n", " for e,bar in enumerate(conn[isDD==False]):\n", " \n", " plt.title(\"Deflection l/d {0:.3f}\".format(dsbis[step]/6/l))\n", " barcoords = coords[bar]\n", " bardisp = disp[bar]*multi\n", "\n", "\n", " plt.plot(barcoords[:,0]+bardisp[:,0],barcoords[:,2]+bardisp[:,2], 'k', lw=2)\n", "\n", "\n", "\n", " for e,bar in enumerate(conn[isDD]):\n", " barcoords = coords[bar]\n", " bardisp = disp[bar]*multi\n", "\n", " plt.plot(barcoords[:,0]+bardisp[:,0],barcoords[:,2]+bardisp[:,2], color = 'blue', lw=4)\n", " \n", " \n", " for e,bar in enumerate(conn[isLarge]):\n", " barcoords = coords[bar]\n", " bardisp = disp[bar]*multi\n", "\n", " plt.plot(barcoords[:,0]+bardisp[:,0],barcoords[:,2]+bardisp[:,2], linestyle='dotted', \n", " color=\"lightcoral\", alpha=0.9, lw=4)\n", " \n", "plt.tight_layout()\n", "#plt.savefig('truss_3steps.pdf',bbox_inches=\"tight\")" ] }, { "cell_type": "code", "execution_count": 25, "id": "actual-broadcast", "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots(figsize=(5,3))\n", "color = 'k'\n", "ax1.plot(ds/6/l, load_nr/max(load_nr), 'gs-', label=\"Newton-Raphson\")\n", "ax1.plot(ds/6/l, load_dd/max(load_nr), 'cv-', label=\"DDCM\")\n", "ax1.plot(ds/6/l, load_cr/max(load_nr), 'm.-', label=\"D-Refinement\")\n", "ax1.set_xlabel('Relative Deflection [-]')\n", "ax1.set_ylabel('Normalized Load [-]', color=color)\n", "ax1.set_ylim((-0.023,1.15))\n", "ax1.tick_params(axis='y', labelcolor=color)\n", "plt.legend(loc='upper left')\n", "\n", "\n", "ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n", "plt.xlim((-0.001,0.07))\n", "color = 'k' #'tab:blue'\n", "ax2.set_ylabel('% of refined elements', color=color) \n", "ax2.plot(ds/6/l, 100*nSwitch/Nel, '*--', label=\"20-steps loading\")\n", "ax2.plot(dsbis/6/l, 100*nSwitchbis/Nel, '*--', label=\"2-steps loading\")\n", "ax2.tick_params(axis='y', labelcolor=color)\n", "ax2.set_ylim((-0.4,20))\n", "fig.tight_layout() \n", "plt.legend(loc='lower right')\n", "\n", "#plt.savefig('load-deflection_21-1000.pdf',bbox_inches=\"tight\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "unsigned-greensboro", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 5 }