{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 2次元メッシュ(非構造格子)データの取り扱い\n", "\n", "`psiclone`\n", "はメッシュ(非構造格子)データの読み込みには対応していませんが,`Geometry`\n", "オブジェクトを直接構成すれば任意の非構造格子データに対しても計算が可能です.具体的には,`Geometry`\n", "オブジェクトにノードとエッジを追加して,これを `Psi2tree`\n", "の入力データとして用いればよいです.以下では,この方法の一連の流れを解説していきます." ], "id": "ff08fa2f-2ee9-43f2-b42f-cb49ab051481" }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy\n", "\n", "from psiclone.data import Geometry, GrayscaleImage\n", "from psiclone.visualization import draw_geometry" ], "id": "8b59c655" }, { "cell_type": "markdown", "metadata": {}, "source": [ "まず `GrayscaleImage` を `Geometry`\n", "に変換して,このオブジェクトがどのようなデータ構造を保持しているか確認してみましょう." ], "id": "f19ad0ac-1740-41cc-b832-87f0a94256fa" }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": [ "[Point(id=np.int64(0), level=np.int64(0), x=np.int64(0), y=np.int64(0), geotype=np.int64(1), order=np.float64(-2.498091544796509)),\n", " Point(id=np.int64(1), level=np.int64(1), x=np.int64(1), y=np.int64(0), geotype=np.int64(1), order=np.float64(-2.1587989303424644)),\n", " Point(id=np.int64(2), level=np.int64(2), x=np.int64(2), y=np.int64(0), geotype=np.int64(1), order=np.float64(-1.5707963267948966)),\n", " Point(id=np.int64(3), level=np.int64(3), x=np.int64(3), y=np.int64(0), geotype=np.int64(1), order=np.float64(-0.982793723247329)),\n", " Point(id=np.int64(4), level=np.int64(4), x=np.int64(0), y=np.int64(1), geotype=np.int64(1), order=np.float64(-2.896613990462929)),\n", " Point(id=np.int64(5), level=np.int64(5), x=np.int64(1), y=np.int64(1), geotype=np.int64(0), order=np.float64(nan)),\n", " Point(id=np.int64(6), level=np.int64(6), x=np.int64(2), y=np.int64(1), geotype=np.int64(0), order=np.float64(nan)),\n", " Point(id=np.int64(7), level=np.int64(7), x=np.int64(3), y=np.int64(1), geotype=np.int64(1), order=np.float64(-0.4636476090008061)),\n", " Point(id=np.int64(8), level=np.int64(8), x=np.int64(0), y=np.int64(2), geotype=np.int64(1), order=np.float64(2.896613990462929)),\n", " Point(id=np.int64(9), level=np.int64(9), x=np.int64(1), y=np.int64(2), geotype=np.int64(1), order=np.float64(2.677945044588987)),\n", " Point(id=np.int64(10), level=np.int64(10), x=np.int64(2), y=np.int64(2), geotype=np.int64(1), order=np.float64(1.5707963267948966)),\n", " Point(id=np.int64(11), level=np.int64(11), x=np.int64(3), y=np.int64(2), geotype=np.int64(1), order=np.float64(0.4636476090008061))]" ] } } ], "source": [ "img = GrayscaleImage(numpy.arange(12).reshape((3, 4)))\n", "geom = img.to_geometry()\n", "geom.nodes" ], "id": "6f01607d" }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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wZe/OgBDwUqvQzs8Hu0+WOC1jz8kSpEWFAgAMOg0UkoQ7Ujsiq8vf3xAkBSStFoab/gmF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\nmmqfHh4e7tDfgoIC577WUz+u6sxdTQocqamp0Ov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ZWlsvkuQcYMMDgK4xQGyw552zcS6P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\nrkJggg==\n" } } ], "source": [ "draw_geometry(geom)" ], "id": "9cedda8a" }, { "cell_type": "markdown", "metadata": {}, "source": [ "このように,`GrayscaleImage` オブジェクト(から変換して得た `Geomery`\n", "オブジェクト)はフォン・ノイマン近傍(四方向接続)の格子グラフによって構成されていることが分かります.ここに,「斜め」のエッジを追加してみます." ], "id": "0b01002c-bb6c-4eee-bd41-b3b3b585e497" }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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023WAbj9HKBvQxcWfGplMhq+++goRERGIjIxEhw4dAACqDeqj4+FNyH7yHIm7\ng5AUfRFp125DlpUjX1fNwhSmNj3RYKgLDPv1qBPHHt4XHEDRdR0i0yYQmTZBUFAQmIohzmdcAwD4\nJ6ug7VsNGKUCNlRsfJK+//57bNmyBYcOHYKDQ+lT2SJtPWh84Qp84YrAwEA8TXiEeZFFM0v+ZtYO\nD4UGMHqVBpsW/H/Bk4p58OABbG1tYW1tjcDAQIjF4hK/F4hE0OrcHVqduyMoKAiyggLcDjwMXP8L\nsR37IL1tWxgZGcGGio1PDmMM06dPx8GDBxEaGorevXuXaqNmbopmPlPRzGcqAg8fxpP7D7Ft4XwA\nQOpsLzwwMkKauBA2daDYAAAwBWRlZTEALCsrS5HmnELRPQilfmxsbLiORjiwevVqBoDt3LlTofbU\nf0ixxMREZmFhwTp27MjS0tLKbU99h7zr+++/Z0KhkB0+fFih9nztPxWpD+pcwVHs1q1bDAC7desW\n11EIR7Zv384AsJ9++qlC61HfIX///Tdr0aIFa9WqFXv9+nWF1qX+Q3788ccKDXSK8bHvVKQ+qBMf\nqRDyXwEBAZg4cSIWL16M6dOncx2H8EhaWhrs7e2Rm5uL2NhYGBrSxyFEcTt27MDs2bPx008/YezY\nsVzHqVWo4CB1Tnh4OEaMGIFp06Zh0aJFXMchPJKVlQVnZ2e8fPkSUqkUDRo04DoS4ZFDhw5hwoQJ\n8PHxoYHOe1DBQeqUc+fOwcPDAyNHjsS6devo9lWisLy8PAwcOBC3b9/G+fPn0bhxY64jER45ceIE\nhg8fjmnTpsHHx4frOLUSFRykzrh8+TJcXFzg7OwMX19fKjaIwgoKCuDl5YULFy7gzJkzaN26Yt82\nTT5tMTEx+PLLLzFixAisXbuWjj0fQAUHqRPi4uLg4OCAXr164cCBA/K5Eggpj0wmg7e3N44fP46I\niAh07kwzEBPF/fHHH/KBzo4dOyr3reWfCCo4CO89evQItra2aNWqFYKDg0vNlUDIhzDGMGvWLOzf\nvx8hISGwsbHhOhLhkdu3b8PBwQE9evSAn58fDXTKQQUH4bVnz55BIpHA2NgYx48fh7q6OteRCI8s\nXboUGzZswMGDB+Hk5MR1HMIjjx49gkQiQcuWLXHkyBGoqKhwHanWo4KD8FZSUhJsbW2hoqKCyMhI\n6OjQTLJEcevXr8fixYuxfft2DBkyhOs4hEeeP38OW1tbGuhUEBUchJfS09Ph4OCArKwsSKVSGBkZ\ncR2J8MiuXbswY8YMrFmzBt7e3lzHITzy5s0b2NraQiwW00CngqjgILyTlZUFFxcXPHv2DLGxsTAz\nM+M6EuGRwMBAjB8/HgsWLMDs2bO5jkN4pHigk5mZSQOdSqCCg/BKXl4ePDw8cPPmTcTExKBp06Zc\nRyI8EhERAS8vL0yaNAnLli3jOg7hkezsbLi6uiIxMRFSqZQGOpVABQfhjcLCQowcORLnz5/HmTNn\nYG1tzXUkwiOxsbEYOHAghg4dig0bNtBcCURheXl5GDRoEG7cuEEDnSqggoPwAmMMEydOREhICE6e\nPImuXbtyHYnwyNWrV+Hs7Ax7e3vs3LmT5kogCise6Jw7d44GOlVEBQep9RhjmDNnDnbv3o0jR47g\niy++4DoS4ZE7d+7A3t4eXbp0QUBAAJSU6LBHFMMYw9dff42QkBCcOHGCBjpVRK88Uuv98MMPWLdu\nHfz8/ODq6sp1HMIjCQkJsLW1hZWVFUJCQmiuBKIwxhi+/fZb7Nq1C0eOHEHfvn25jsR7VHCQWm3T\npk34/vvvsXXrVgwbNozrOIRHXrx4AYlEAkNDQ4SHh0NDQ4PrSIRHVqxYgbVr12L//v000KkmVHCQ\nWmvv3r2YOnUqVq1ahYkTJ3Idh/BIcnIy7OzsIBQKERkZCT09Pa4jER75+eefsXDhQmzZsgVeXl5c\nx6kzqOAgtdKRI0cwduxYzJ07F9999x3XcQiPZGRkwNHREWlpaZBKpahfvz7XkQiP7Nu3D1OmTMHK\nlSvx9ddfcx2nTqGCg9Q6UVFRGDp0KCZMmIAVK1ZwHYfwSE5ODtzc3BAfHw+pVApzc3OuIxEeOXr0\nKMaMGYO5c+di7ty5XMepc6jgILXKhQsX4O7ujkGDBuHnn3+muRKIwvLz8+Hp6YmrV6/i3LlzaNas\nGdeRCI9ERUVhyJAh8Pb2poFODaGCg9Qa165dQ//+/SGRSLB7926aK4EoTCaTYfTo0Thz5gyioqLQ\nrl07riMRHrl48SLc3d3h4eGBzZs300CnhlDBQWqFe/fuwc7ODh07dsShQ4egrKzMdSTCE4wxTJ48\nGUFBQTh+/Dh69OjBdSTCI9evX0f//v3Rr18/7NmzhwY6NYgKDsK5J0+eQCKRoHHjxggJCYGqqirX\nkQiPzJ8/H76+vggKCoKtrS3XcQiPFA902rdvj8OHD9NAp4ZRwUE49erVK0gkEujq6uLEiRPQ0tLi\nOhLhkVWrVmHVqlXYs2cPBgwYwHUcwiPFAx1LS0scO3aMBjofAZ07IpxJSUmBnZ0dZDIZTp06BX19\nfa4jER7ZunUr5s2bh40bN2LUqFFcxyE88urVK9ja2kJHRwcnT56kgc5HQmc4CCfevn0LJycnJCcn\nIzY2FsbGxlxHIjzi5+eHyZMnY9myZZgyZQrXcQiPpKSkwN7eHoWFhTTQ+cio4CAfXU5ODgYMGID7\n9+8jNjYWlpaWXEciPBIaGorRo0dj1qxZWLBgAddxCI9kZmbCyckJSUlJkEqlMDEx4TrSJ4UKDvJR\nFRQUYOjQofj9999x9uxZtGjRgutIhEeio6Ph6emJsWPHYvXq1XT7IlFYbm6ufKBz/vx5GuhwgAoO\n8tHIZDKMHTsWkZGROHXqFDp06MB1JMIjly5dgqurK9zd3bF161YqNojCigc6ly5dwtmzZ9GyZUuu\nI32SqOAgHwVjDNOmTUNAQADCwsLQq1cvriMRHrl58yYcHR1hY2ODffv2QSQScR2J8IRMJsNXX32F\niIgIREZG0kCHQ1RwkI/i+++/x5YtW3Do0CHY29tzHYfwyIMHD2Brawtra2sEBQVBLBZzHYnwBGMM\n06dPx8GDBxEaGorevXtzHemTRgUHqXFr1qzBDz/8gF27dsHDw4PrOIRHnj59ColEgoYNGyIsLAxq\nampcRyI84uPjg82bNyMgIAAODg5cx/nkUcFBapSvry++/fZbrF+/HmPGjOE6DuGR169fw9bWFhoa\nGjh58iS0tbW5jkR4ZO3atVi2bBl27tyJQYMGcR2HgAoOUoMCAgIwceJELF68GNOmTeM6DuGRtLQ0\n2NvbIzc3F1KpFIaGhlxHIjyyY8cOzJ49Gz/99BPGjh3LdRzyDyo4SI0IDw/HiBEjMH36dCxatIjr\nOIRHsrKy4OzsjJcvX0IqlcLU1JTrSIRHDh06hAkTJsDHxwfTp0/nOg55BxUcpNqdO3cOHh4eGDly\nJNauXUu3LxKF5eXlYeDAgbhz5w5iYmLQuHFjriMRHjlx4gSGDx+OadOmwcfHh+s45D+o4CDV6vLl\ny3BxcYGLiwt8fX2p2CAKKygogJeXFy5cuIDo6Gi0bt2a60iER2JiYvDll19ixIgRNNCppajgINUm\nLi4ODg4O6NWrF/z8/GiuBKIwmUwGb29vHD9+HBEREejUqRPXkQiP/PHHH3BxcYGzszN27NgBoZC+\nl7Q2ooKDVItHjx7B1tYWrVq1QnBwMM2VQBTGGMOsWbOwf/9+hISEwMbGhutIhEdu374NBwcH9OjR\ngwY6tRwVHKTKnj17BolEAmNjYxw/fhzq6upcRyI8snTpUmzYsAEHDx6Ek5MT13EIjzx69AgSiQQt\nW7bEkSNHoKKiwnUkUgYqOEiVJCUlwc7ODioqKoiMjISOjg7XkQiPrF+/HosXL8b27dsxZMgQruMQ\nHnn+/DlsbW1poMMjVHCQSktPT4eDgwMyMzMhlUphZGTEdSTCI7t27cKMGTOwZs0aeHt7cx2H8Mib\nN29ga2sLsVhMAx0eoYKDVEp2djZcXFzw7NkzxMbGwszMjOtIhEcCAwMxfvx4LFiwALNnz+Y6DuER\nGujwFxUcpMLy8vLg4eGBmzdvIiYmBk2bNuU6EuGRiIgIeHl5YdKkSVi2bBnXcQiPZGdnw9XVFYmJ\niZBKpTTQ4RkqOEiFFBYWYuTIkYiJicGZM2dgbW3NdSTCI7GxsRg4cCCGDh2KDRs20FwJRGF5eXkY\nNGgQbty4QQMdnqKCgyiMMYaJEyciJCQEJ0+eRNeuXbmORHjk6tWrcHZ2hr29PXbu3ElzJRCFFQ90\nzp07RwMdHqOCgyiEMYY5c+Zg9+7dOHLkCL744guuIxEeuXPnDuzt7dGlSxcEBARASYkOPUQxjDF8\n/fXXCAkJwYkTJ2igw2P0qicK+eGHH7Bu3Tr4+fnB1dWV6ziERxISEmBrawsrKyuEhITQXAlEYYwx\nfPvtt9i1axeCg4PRt29friORKqCCg5Rr06ZN+P7777F161YMGzaM6ziER168eAGJRAJDQ0OEh4dD\nQ0OD60iER1asWIG1a9di//79cHNz4zoOqSIqOEiZ9u7di6lTp2LVqlWYOHEi13EIjyQnJ8POzg5C\noRCRkZHQ09PjOhLhkZ9//hkLFy7E5s2b4eXlxXUcUg2o4CAfdOTIEYwdOxZz587Fd999x3UcwiMZ\nGRlwdHREWloapFIp6tevz3UkwiP79u3DlClTsHLlSkyaNInrOKSaUMFB3isqKgpDhw7FhAkTsGLF\nCq7jEB7JycmBm5sb4uPjIZVKYW5uznUkwiNHjx7FmDFj8N1332Hu3LlcxyHViAoOUsqFCxfg7u6O\nQYMG4eeff6a5EojC8vPz4enpiatXr+LcuXNo1qwZ15EIj0RFRWHIkCHw9vbGypUruY5DqhkVHKSE\na9euoX///pBIJNi9ezfNlUAUJpPJMHr0aJw5cwZRUVFo164d15EIj1y8eBHu7u7w8PDA5s2baaBT\nB1HBQeTu3bsHOzs7dOzYEYcOHYKysjLXkQhPMMYwefJkBAUF4fjx4+jRowfXkQiPXL9+Hf3790e/\nfv2wZ88eGujUUVRwEADAkydPIJFI0LhxY4SEhEBVVZXrSIRH5s+fD19fXwQFBcHW1pbrOIRHigc6\n7du3x+HDh2mgU4dRwUHw6tUrSCQS6Orq4sSJE9DS0uI6EuGRVatWYdWqVdizZw8GDBjAdRzCI8UD\nHUtLSxw7dowGOnUcnbf6xKWkpMDOzg4ymQynTp2Cvr4+15EIj2zduhXz5s3Dxo0bMWrUKK7jEB55\n9eoVbG1toaOjg5MnT9JA5xNAZzg+YW/fvoWTkxOSk5MRGxsLY2NjriMRHvHz88PkyZOxbNkyTJky\nhes4hEdSUlJgb2+PwsJCGuh8Qqjg+ETl5ORgwIABuH//PmJjY2Fpacl1JMIjoaGhGD16NGbNmoUF\nCxZwHYfwSGZmJpycnJCUlASpVAoTExOuI5GPhAqOT1BBQQGGDh2K33//HWfPnkWLFi24jkR45MyZ\nM/D09MTYsWOxevVqun2RKCw3N1c+0Dl//jwNdD4xVHB8YmQyGcaOHYvIyEicOnUKHTp04DoS4ZFL\nly7Bzc0N7u7u2Lp1KxUbRGHFA51Lly7h7NmzaNmyJdeRyEdGBccnhDGGadOmISAgAGFhYejVqxfX\nkQiP3LhxA46OjrCxscG+ffsgEom4jkR4QiaTYdy4cYiIiEBkZCQNdD5RVHB8Qr7//nts2bIFhw4d\ngr29PddxCI88ePAAdnZ2sLa2RlBQEMRiMdeRCE8wxjB9+nT4+/sjNDQUvXv35joS4QgVHJ+INWvW\n4IcffsCuXbvg4eHBdRzCI4mJiZBIJGjYsCHCwsKgpqbGdSTCI4sWLcLmzZsREBAABwcHruMQDlHB\n8Qnw9fXFt99+i/Xr12PMmDFcxyE88vr1a9ja2kJDQwMnT56EtrY215EIj/z4449Yvnw5du7ciUGD\nBnEdh3CMCo46LiAgABMnTsTixYsxbdo0ruMQHklNTYW9vT3y8vIglUphaGjIdSTCIzt27MCcOXPw\n008/YezYsVzHIbUAFRx1WHh4OEaMGIHp06dj0aJFXMchPJKVlQVnZ2e8fPkSUqkUpqamXEciPHLo\n0CFMmDABPj4+mD59OtdxSC1BBUcdFRMTAw8PD4wcORJr166l2xeJwnJzczFw4EDcvXsXMTExaNy4\nMdeRCI+Eh4dj+PDhmDZtGnx8fLiOQ2oRKjjqoMuXL8PZ2RkuLi7w9fWlYoMorKCgAF5eXrhw4QKi\no6PRunVrriMRHike6IwYMYIGOqQUKjjqmLi4ODg4OKBXr17w8/OjuRKIwmQyGby9vREeHo6IiAh0\n6tSJ60iER/744w+4uLjA2dkZO3bsgFBI3w1KSqKCow559OgRbG1t0apVKwQHB9NcCURhjDHMmjUL\n+/fvR0hICGxsbLiORHjk9u3bcHBwQI8ePWigQz6ICo464tmzZ5BIJDAxMcHx48ehrq7OdSTCI0uX\nLsWGDRvg7+8PJycnruMQHnn06BEkEglatmyJI0eOQEVFhetIpJaigqMOSEpKgp2dHVRUVBAREQEd\nHR2uIxEeWb9+PRYvXgxfX18MHjyY6ziER54/fw5bW1sYGxvTQIeUiwoOnktPT4eDgwMyMzMhlUph\nZGTEdSTCI7t27cKMGTOwZs0ajB8/nus4hEfevHkDW1tbKCsr00CHKIQKDh7Lzs6Gi4sLnj17htjY\nWJiZmXEdifBIYGAgxo8fj4ULF2L27NlcxyE88t+BTr169biORHiACg6eysvLg4eHB27evImYmBg0\nbdqU60iERyIiIuDl5YXJkydj6dKlXMchPJKdnQ1XV1ckJibSQIdUCBUcPFRYWIiRI0fi/PnzOHPm\nDKytrbmORHgkNjYWAwcOxNChQ7F+/XqaK4EoLC8vD4MGDcKNGzcQExMDKysrriMRHqGCg2cYY5g4\ncSJCQkJw8uRJdOnShetIhEeuXr0KZ2dnODg4YOfOnTRXAlFY8UDn3LlzOH36NA10SIVRwcEjjDHM\nmTMHu3fvxtGjR/HFF19wHYnwyJ07d2Bvb4+uXbvC398fSkr08ieKYYzh66+/RkhICE6cOIFu3bpx\nHYnwEB1xeOSHH37AunXr4OfnBxcXF67jEB5JSEiAra0trKyscPToUZorgSiMMYZvv/0Wu3btQnBw\nMPr27ct1JMJTVHDwxKZNm/D9999j69atGDZsGNdxCI+8ePECEokEhoaGCA8Ph4aGBteRCI+sWLEC\na9euxf79++Hm5sZ1HMJjVHDwwN69ezF16lSsWrUKEydO5DoO4ZHk5GTY2dlBKBQiMjISenp6XEci\nPPLzzz9j4cKF2Lx5M7y8vLiOQ3iOCo5a7siRIxg7dizmzp2L7777jus4hEcyMjLg6OiItLQ0SKVS\n1K9fn+tIhEf27duHKVOmYOXKlZg0aRLXcUgdQAVHLRYVFYWhQ4diwoQJWLFiBddxCI/k5OTAzc0N\n8fHxkEqlMDc35zoS4ZGjR49izJgx+O677zB37lyu45A6ggqOWurChQtwd3fHoEGD8PPPP9NcCURh\n+fn58PT0xNWrV3Hu3Dk0a9aM60iER6KiojBkyBB4e3tj5cqVXMchdQgVHLXQtWvX0L9/f0gkEuze\nvZvmSiAKk8lkGD16NM6cOYOoqCi0a9eO60iERy5evAh3d3d4eHhg8+bNNNAh1YoKjlrm3r17sLOz\nQ8eOHXHo0CEoKytzHYnwBGMMkydPRlBQEI4fP44ePXpwHYnwyPXr19G/f3/069cPe/bsoYEOqXZU\ncNQiT548gUQiQePGjRESEgJVVVWuIxEemT9/Pnx9fREUFARbW1uu4xAeKR7otG/fHocPH6aBDqkR\nVHDUEq9evYJEIoGuri5OnDgBLS0triMRHlm1ahVWrVqFPXv2YMCAAVzHITxSPNCxtLTEsWPHaKBD\nagydM6sFUlJSYGdnB5lMhlOnTkFfX5/rSIRHtm7dinnz5mHjxo0YNWoU13EIj7x69Qq2trbQ0dHB\nyZMnaaBDahSd4eDY27dv4eTkhOTkZMTGxsLY2JjrSIRH/Pz8MHnyZCxbtgxTpkzhOg7hkZSUFNjb\n26OwsJAGOuSjoIKDQzk5ORgwYADu37+P2NhYWFpach2J8EhoaChGjx6NWbNmYcGCBVzHITySmZkJ\nJycnJCUlQSqVwsTEhOtI5BNABQdHCgoKMHToUPz+++84e/YsWrRowXUkwiNnzpyBp6cnxo4di9Wr\nV9Pti0Rhubm58oHO+fPnaaBDPhoqODggk8kwbtw4REZG4tSpU+jQoQPXkQiPXLp0CW5ubnB3d8fW\nrVup2CAKKx7oXLp0CWfPnkXLli25jkQ+IVRwfGSMMUybNg3+/v4ICwtDr169uI5EeOTGjRtwdHSE\njY0N9u3bB5FIxHUkwhPFA52IiAhERkbSQId8dFRwfGSLFi3Cli1bcOjQIdjb23Mdh/DIgwcPYGdn\nB2trawQFBUEsFnMdifAEYwzTp0+Hv78/QkND0bt3b64jkU8QFRwf0Y8//ojly5dj165d8PDw4DoO\n4ZHExERIJBI0bNgQYWFhUFNT4zoS4ZFFixZh8+bNCAgIgIODA9dxyCeKCo6PZMeOHZgzZw7Wr1+P\nMWPGcB2H8Mjr169ha2sLDQ0NnDx5Etra2lxHIjxSPNDZuXMnBg0axHUc8gmjguMjCAgIwIQJE7B4\n8WJMmzaN6ziER1JTU2Fvb4+8vDxIpVIYGhpyHYnwSPFA56effsLYsWO5jkM+cVRw1LDw8HCMGDEC\n06dPx6JFi7iOQ3gkKysLzs7OePnyJaRSKUxNTbmORHjk0KFDmDBhAnx8fDB9+nSu4xBCBUdNiomJ\ngYeHB0aOHIm1a9fS7YtEYbm5uRg4cCDu3r2LmJgYNG7cmOtIhEfCw8MxfPhwTJs2DT4+PlzHIQQA\nFRw15vLly3B2doaLiwt8fX2p2CAKKygogJeXFy5cuIDo6Gi0bt2a60iER4oHOiNGjKCBDqlVqOCo\nAXFxcXBwcECvXr3g5+dHcyUQhclkMnh7eyM8PBwRERHo1KkT15EIj/zxxx9wcXGBk5MTfH19IRTS\n93OS2oMKjmr26NEj2NraolWrVggODqa5EojCGGOYOXMm9u/fj5CQENjY2HAdifBIXFwc7O3t0aNH\nDxw4cABKSnR4J7UL9chq9OzZM0gkEpiYmOD48eNQV1fnOhLhkSVLlmDjxo3w9/eHk5MT13EIjxQP\ndFq2bIng4GCoqKhwHYmQUqjgqCZJSUmws7ODiooKIiIioKOjw3UkwiM//fQTlixZAl9fXwwePJjr\nOIRHnj9/DolEAmNjY4SHh0NDQ4PrSIS8FxUc1SA9PR0ODg7IzMyEVCqFkZER15EIj+zatQszZ87E\nmjVrMH78eK7jEB5JSkqCra0txGIxDXRIrUcFRxVlZ2fDxcUFz549Q2xsLMzMzLiORHgkMDAQ48eP\nx8KFCzF79myu4xAeSU9Ph6Ojo3ygU69ePa4jEVImKjiqIC8vDx4eHrh58yZiYmLQtGlTriMRHomI\niICXlxcmT56MpUuXch2H8EjxQCcxMZEGOoQ3qOCopMLCQowcORLnz5/HmTNnYG1tzXUkwiOxsbEY\nOHAghg4divXr19NcCURh/x3oWFlZcR2JEIVQwVEJjDFMnDgRISEhOHnyJLp06cJ1JMIjV69ehbOz\nMxwcHLBz506aK4EorHigExMTg9OnT9NAh/AKFRwVxBjDnDlzsHv3bhw9ehRffPEF15EIj9y5cwf2\n9vbo2rUr/P39aa4EojDGGL7++muEhITgxIkT6NatG9eRCKkQOtpV0A8//IB169bBz88PLi4uXMch\nPJKQkABbW1tYWVnh6NGjNFcCURhjDN9++y127dqF4OBg9O3bl+tIhFQYFRwVsGnTJnz//ffYunUr\nhg0bxnUcwiMvXryARCKBoaEhTpw4QXMlkApZsWIF1q5di/3798PNzY3rOIRUChUcCtq7dy+mTp2K\nVatWYeLEiVzHITySnJwMOzs7iEQiREZGQldXl+tIhEd+/vlnLFy4EJs3b4aXlxfXcQipNCo4FHDk\nyBGMHTsW8+bNw3fffcd1HMIjGRkZcHR0RFpaGqRSKerXr891JMIj+/btw5QpU7By5UpMmjSJ6ziE\nVAkVHOWIiorC0KFDMXHiRPzwww9cxyE8kpOTAzc3NyQkJCA2Nhbm5uZcRyI8cvToUYwZMwbfffcd\n5s6dy3UcQqqMCo4yXLhwAe7u7vD09MSmTZtorgSisPz8fHh6euLq1auIiYlBs2bNuI5EeCQqKgpD\nhgyBt7c3Vq5cyXUcQqoFFRwfcO3aNfTv3x+2trbYtWsXzZVAFCaTyTB69GicOXMGUVFRaNu2LdeR\nCI9cvHgR7u7u8PDwwObNm2mgQ+oMKjje4969e7Czs0PHjh0REBAAZWVlriMRnmCMYfLkyQgKCsLx\n48fRo0cPriMRHrl+/Tr69++Pfv36Yc+ePTTQIXUKFRz/8eTJE0gkEjRu3BjHjh2Dqqoq15EIj8yf\nPx87duxAYGAgbG1tuY5DeKR4oNO+fXscPnyYBjqkzvlo5fOFCxcgFAohEAhQUFCg0DpSqRQ9evSA\nmpoajI2NMXPmTGRnZ5dqFxcXBzs7O2hqasLAwABjxoxBWlpahTO+evUKEokEurq6OHHiBDQ1NRVe\nVyaTYeXKlbC0tISqqiratm2L4ODg97bdsWMHWrRoARUVFTRv3hzbtm2rcNZPweeffw6BQFDqZ/36\n9QqtX9n+s3DhwkrlXbVqFVatWoVdu3ZhwIABFVqX+k/1S0lJwfTp02Fubg4VFRWYmZlh9OjRCq37\nsY89xQMdS0vLCg90qO9Ur3Pnzr33uFP889tvv5W7jY997KmKj9p/mAKysrIYAJaVlaVI81Ly8vJY\nmzZtmLGxMQPA8vPzy13n+vXrTFVVlbm5ubHTp0+zHTt2MF1dXebp6Vmi3bNnz5ihoSHr1asXO3ny\nJPP392dmZmasbdu2DAC7deuWQhmTk5NZ27ZtWdOmTdmLFy8qvI/z589nYrGYrVmzhkVHRzNvb28m\nEAhYeHh4iXa+vr5MIBCw+fPns+joaLZgwQImEAjYli1bKvyYdZ2NjQ377LPP2MWLF0v8KPL3qUr/\nqV+/PgPAbty4oXDWLVu2MABs06ZNFd5Pxqj/VLfk5GTWqlUr1rp1a7Z3714WExPD/P392TfffFPu\nuh/72PPy5UvWrFkz1qZNG/bmzZsK7yv1neqVlpZW6phz8eJF1qpVK2ZsbMwKCgrKXP9jH3uqqqr9\nZ/369QrXB1UqOCwsLJiPj0+56//www+sdevWbP78+QoXHO7u7qxp06YsLy9Pvmzv3r0MALty5Yp8\n2fTp05mOjg5LSUmRL4uJiWEAFH7RZ2RksO7duzMzMzOWkJBQ6vcA2O7duz+4/qtXr5hYLGaLFi0q\nsbxv377M2tpa/u/8/HxmZGTERo4cWaLdmDFjmIGBQYl9/RSU139sbGxYz549K7XtqvSfPXv2MADs\np59+Uuix9u/fzwQCAVu+fPl7f0/9p/qV13cmTJjAzM3NWVpaWoW3/TGPPcUDnSZNmrDnz5+X+j31\nnZqh6HtXsYSEBCYQCNjs2bPLbfsxjz3l+Vj9R9GCo8Y/Unn48CGWL1+OLVu2KPyZZH5+PiIiIuDp\n6VliHU9PT4jFYhw7dky+LDQ0FE5OTtDR0cHbHIZnb2QwatwT9Y3N0LxNF6QV6ON1ugz5BQzXr1+H\nq6sr9PT0oKamhp49e+LMmTMYMGAA7t+/j6ioKFhYWFR4HyMjI5GXl4fhw4eXWD58+HDcvHkT8fHx\nAIquPn/9+nWpdiNGjMCbN28glUor/NiktMr0Hy0tbWRk5eHv5Ex06Po5dHT0EH0uFsnp2cjJLQBj\n7+8/K1euxOjRozFr1izMnz+/Unmp/1SvzMxM7Nu3D1999RW0tbUrtG5ljz0FudnITn2D9s0boYGJ\nMTp81gZqKEBuZjpkhYXv7TunTp2Ck5MTkpKScPr0aZiYmFR4X6nvfBz79+8HYwyjRo0qs12l+o+G\nOgqTXyL/yW3YtzCFnrYmLkSdQMGrBMiy0j947ImNja3yflVX/1FUjRccEydOxKBBg9CnTx+F13n4\n8CFycnLQpk2bEstVVVXRpEkT3L59GwCQnZ2N+Ph4mDVqjdg7BTh/uwDXHxci4bUMDZu0RmFhAVIL\nDXD5QSG2Hb6Mbt174O+kZOzYsQPBwcHQ19eHnZ0dLl68iMjISLRo0aJS+xgXFwcVFRU0bdq0xPLW\nrVsDgDxvXFwcAJTar/+2I//6888/oaOjA2VlZXz22WfYuXNnuetUuP9YNsXtR0mIf5aKl28ywYSq\naPNZOzx6+BBPX2Xg3pNkHAk/ix49eiA5+d/+wxjD/Pnz4eLigtWrV1f69kXqP9XrypUryM7ORv36\n9eHh4QE1NTVoamrC3d1dfgD9kIr2nWaNLfHmURzePLqN9BcJyEp5jeZNG6OgsBDqggKkPrmPMyEB\n6NG9O94kJcn7jp6eHhwcHHDnzh1ERUXB0tKyUvtKfefj2LdvHzp06FDq+fuvivafFvW1kf3bMeTe\nOo/8x3HQyk1BpxZN8PDhQ+T99Tty/ojAxQOb0aN7dyQnv5H3HwMDA0gkEly5cqVK+1Vd/UdRFbpL\npaCgoNQFnzKZrMQygUAAkUgEAPDz88OVK1dw4MCBCoVKTk4GAOjp6ZX6nb6+vvz3j58ngzGGTJkO\n3ub824YxQFNbH08T7gMoehPYuX4ujOo3xLyfItHUVAVWxgL4+/uDMYb27dujQ4cO/6zLUFhYWOpx\n/7ufQqFQfstacnIydHV1S73h6Ovrl9ifD+3Xf9vVRYo+r+/2nz59+sDLywvNmjVDamqqfNT64sWL\nMi+uUqT/yGQMdx8+BWMMyiqaYO82Egigo6ePxwmP5ItW/+CD+sYNsGXnYTQxN8KtG1dx/fp1aGlp\nQSaTyf/21H+qX0X7zvPnzwEAs2fPhqOjI0JDQ/H69WvMmzcPn3/+OW7dugUtLa33Ppaix55Xz4v6\njppQhsK83HfDQk9HBw8THqP4z7l0zQY0MKmPgK3roGvSEKq6RtixYwcEAgHatm2Lli1bVmg/qe9U\nTGWOPe+6ePEi7t+/jw0bNpT7WIr0H1ZYgJdXz4MxBh1hQdEbVlFQCADo62jhwdOX8vXm/7QdDY30\nEL76O2hZ94ZQSw/29vZo06YNli1bhpCQkArtZ030H0VV6AyHtrY2lJWV5T+PHz/GsmXLSizr16+f\nPODMmTOxYsUK1KtXr0KhFPH0jQyXHyh2t0tuTjZuXj2PnpIvIRQIEf8iH0dinuLUmRi4uLjIqzeg\n6Eva3t2f4tNi48aNK7Fs7Nix1b5PdVlMTEyp57Ws/gMAS5cuxfjx42FjYwM3NzcEBwfD3d0dP/zw\nA96+fVvpLIwBDxJT8Ca19FXj75OTk40rly/C1tEFBTLgr/i/scV3D/r06YPhw4eXOLVJ/af6VbTv\nyGQyAEDjxo0REBAAW1tbDBs2DIcPH8aTJ0/g5+dXpTxZyX8j7elDhdpm5+Tg4h9X4WwvgVAoQPqr\np7gWG4Xff/sN7u7uuHHjhrwt9Z2aUZljz7uK/y7V8g3hskLkXD0F2auEon+zMlsjOzcP0uu3MeDz\n7hDkZOHt5UjkPHsAxhgkEgnOnz9fKmdt7j8VOsMRGxtb4nYtV1dXODs7w9vbW76seOSwcOFCmJiY\nwNPTE6mpqQCKvlsCANLS0qCqqvrBr+gurqJSUlJK/S45ORmNrVrhxuNCaGgWVWZv00u3e5ueAi2d\nou1kpCdDVliIgF9WIOCXFSXahYYmAig6SAmFQri4uODy5csl2nTu3Bk+Pj5wdnaWLzM0NCyRNzU1\nFYyxEpVicVVYXAW+u1/vfl7733Z1UceOHUs9r2X1nw8ZOnQoQkJCcPPmTXTv3v29bcrrP+aNrJCT\nVwAtbW0IBAJkpKWWapeemgqdf/pPWmoqCgsL4bt5HXw3r3vvY1L/qTkV7TsGBgYAgH79+pV4Prt2\n7QptbW38+eefH3ys8vpOC6umyHiVCG0tLQgEAqSlZ5Rql5KWBl0dHQBAalo6CgsL8dPWX/DT1l9K\ntDty5AgA6js1rSrHntzcXBw+fBhOTk4lnvcPKbP/vHmDFqYGYDmZ0NFUh0AgQEpG6YFTSvpb6Glp\nyP+/sFCGVfuCsWrf+29VrQ39R1EVKjg6duwINTU1+b/FYjFMTU3RqVOnUm1v376NGzduyF/87zI0\nNISbm5v8VNB/NWnSBCoqKiXOPABFBcujR4/QvtdAAICqmjrqmVri8aPSnz8+eXQH1h16AwA0tXQh\nFArhNOhr9HMuedGLrgbQykwkP8VkYGDw3syWlpbv3U+g6HOs3NxcPHz4sMRnYcWff7Vq1UreDij6\nPOzdP9p/29VFWlpapZ6/svpPecq6XqK8/tOnb38AgJqaOkwbNMSDB3+V2sajh/fQsXNRQaOlrQ2h\nUIjBXmPg4u5Zol1DY22oipWo/9Sgivad8j5XLmv2zvL6juPnvQAA6mqqaNjAFH89eFRqG/cexqN7\n56KPaLW1tCAUCjFm6CAMcnMquQ8a2tCq14D6Tg2ryrEnNDQUKSkp5V4sWuxD/Sc7OxuPHj2Ce7c2\nAGNQV1WBhbER7iQ8LbWNu4+foVfboo/ZdDTVIRQKMMHdHsPs37kOUiCEuGU3CFU1akX/UVSNXTS6\nfv16nD17tsRP8R/t9OnTWL58+QfXFYvFcHBwwOHDh0t89hQYGIjc3Fx0tXGRL+vWxxmXpSeRmfHv\nZDtxf/6Kv188RleboqpOVU0Drdv3Qvz9G2jSoj2sWnWU/xhZdIRp445V2lcHBwcoKyuXulbFz88P\nbdq0QaNGjQAA3bt3h6Gh4Xvb6evro2fPnlXK8Sk4cOAA1NTUYG1t/cE2H+o/+/z8kZubi8/72cuX\nfd7PHrHnTiMjI12+7Oofl/D8WaK8nbq6Bjp06oZ7d2+jZevP0Nq6nfzHqIEVOnak/lObmJmZoVOn\nToiKigJj/56zvnjxItLT09G5c+cPrlvesce+778Hffsv+uD0eSnS3xmlXrpyDU+fv4D9F0XtNNTV\n0LVjO8T9dR+ftWqBdm1ayX9aNTKDdfOSF+tVFPWdmrV3714YGhrCycmp/Mb4cP85vGs7cvPy4NTj\n32NF/54dEXnxT6S9zZIvu3DjLp68fA2nnkUFgoaaKnp+1hI3Hz5Gu2aN0KFFk39+GuMzjfxac+xR\nWLk3zrKqz8NRzMfH573zcIwdO5aJRKISy/7880+moqLCBgwYwE6fPs1++eUXpqurx3r2G8jCr+TJ\nf/aejGfaOgasTYfebMmmMPbdSj9mZGzOmrfpwsIu58jbbfC7xFTVNFi7rv3Ytyv2s1W+p9n81QHM\nc+x3bMjY2Uwmk30wN8q5l5kxxr777jumoqLC1q5dy86ePcsmTpzIBAIBCwsLK9Fu69atTCAQsAUL\nFrCzZ8+y77//ngkEAvbzzz8r/DzWFWX1n/Pnz7P+/fuzX375hZ0+fZoFBwczV1dXBoCtWrWqRFtF\n+s+OHTuYjo4us3VwYdfvvZL/nDp/jenq6rOOnbuzLb/4s//9tJ2ZmJox67Yd2J93X8jbBRyNYmrq\n6qxbjz5s1bptbKffUbZ200721cRpbNqMWWXuJ/Wf6lfesef06dNMJBKxgQMHshMnTrC9e/cyMzMz\n1qJFixLHMUWPPXq6uszZrh97efsP+c+fZ08wfV0d1q1TB3Zw+0a2be0K1sDEmHX4rA17fut3ebtT\nQX5MXU2N9enehW378Qd2ZO929sv6/7Fp3mPYlAnj6NjDAUXeu169esWUlJTYlClTPthG0WOPnrYm\nG2DTlWXGHJL/3A/aygx0tFivti3Z0dXz2F6faaxhfUPWuVVTlnHWX95OumMl01BTYV90tGZ7Fk1l\nERt82IGlM9mc4QPYnKllT2T3MfrPunXratfEX8U+VHCMGjWKva/2iYmJYd26dWMqKiqsXr16bMio\nKeyINLVEwRF+JY9tDrjC2nXtx1RU1ZmGli7r5zyC+Z95Uard1qDrrI/dIKajZ8SUlMXMoF4D1qWP\nE1u84Rj7O63wg7kV+aMVFBSwZcuWMXNzcyYWi5m1tTULDAx8b9tt27YxKysrJhaLWdOmTdnmzZvL\nf/LqoLL6z/3795mDgwMzNTVlYrGYaWhosO7du7ODBw+WaqtI/zGqV495jRrPfrseX6LguH7vFQsK\nO8u69ejDVNXUmJa2DnMdMJjFXLpTqt3RE7HMvr8b09M3YMrKYlavvgmz6WvHduw5VOZ+Uv+pfooc\ne06cOME6derEVFRUmL6+PhsxYgR7+fJliTaKHnsmjBnBHl2Rlig4Xt7+g50NCWB9undhamqqTEdb\ni3m6O7PbF06Xanc+LJC5OdoyA309JlZWZib16zG7L3ozv63rWW5Wxgf3gfpOzVCk/xS/kf7xxx8f\nbKNQ/zEyZJM8HNnryH0lCo7MmEPs0q417IuO1kxdVYXpamowLwcb9iT0l1Ltruxdyzz6dmeGutpM\nrKzETI30Wf8eHdnRzf8rcx8+Rv+pyEzkgn9ClSk7Oxvq6urIysoqcQ3Hx1QoY4i8pthdKRUlANDQ\nUIg25qVviSJ1w4ukt3idklV+w0pq1dgQSiL6Zs+6SFZYgNf3rtfQ1gVQN6gHrXpmNbR9wrW8+3+g\n4GX8v7e/VisB1HoNhEDI3XtXReoD3hwhM7Jr4o9VhAFIyZTV2PYJ97Jy8mt0+9m5NVMME+7l59Rc\noQow5Gdn1uD2CdcK09/UULEBAAyyzIp/WSBXeFNwvDuxV03IrOHtE27l1HBBkJtHBUddVZir2Hwt\nlVVQw9sn3GJZpW+drtbt86jgqNBtsVwqlBXNwlZTdaKMAbduxaGSs1OTWq5Q2RA19sdlDC9evMSr\nZ/TGURepoQDqgprrPrKCwlK3UZI6gjE0YjV49lwgAJOVnl20tuJNwSEUCGqs2ACAwoJ8WHcse558\nwl/SP+5BS1unRradn5+PDWtXY//u7TWyfcKtiaO9MH/6NxCLFfvyyYpKz8hAm24Vn4uG8EPamYNQ\nUqqhaywYIBDw5oMK8Oai0TcZMly6X3OVnBLy0EAloca2T7hVqKQLCGvmDQMAhPlpELC8Gts+4Y4Y\nhdAW1tw1QPlMgDSmUmPbJ9wyS7kHZVnN9R+Vzz6HSLf6vz5EURWpD3hzhkNbvfzzmUmvniJw7494\ncPsK4u/dQG5uNnaF3UN9U8sy1xMAqK+vgtaWFfvmO8Ifz/7OwJu0sj/yePniGdasWITffo0BYwxd\ne/TBtwuWwcS0/DsImjdrDOWaGsUQThXm5yHpwc1y2z178RKL/rcO5y9cAmNAn+5dsHTuLJiZGpex\nlgDa+oYwMzavvsCkVsm9+xaFfz9BWRcEPPv7DdYdPIarfz3CzYePkZ2bh9sBm2BhUn4hIdQs/UVx\ntRVvzsUoiwTQUS+7zfPEh5BGBUFTWw+t2/dSeNsMgKE2b54KUgla6uIyf5+dnYXxI79E/KP7WPa/\njfhhzc948vgRvhoxEFlZZd9FIFYWUbFRhwmVlCESl30GIis7Bx5jvsaDRwnYuGIJfl61BI8eP8GX\nYyYgM6usQpdBRUO7egOTWkWkZ4zyrj58+Owlgs/9Bl0tDfT4rIXC2xZq6UOgVHNnbqsbb85wAICl\nkQjXH3/4Y5U2HXrjQFTR3PSRR3fh6m9RCm1XSQQY69LVonWZloYYSiIhCgrffwHXkcN+eJr4GMci\nL8Dcomg6X6vmreBq1x1BAfsxcuzED27bUJebjxnJxyEQCKCuVw8ZrxI/2OZA0FE8fvoMv4YHo5FF\nQwBAy+ZW6OE4EPsPB2Pi6OHvXU+opAyxZs1cW0RqB5GRGfDgKlD44Y9VerVtiYQQXwDAnuNncOby\njQ+2fZeSqVW1ZPxYeDWsN9YTQLWMYq6sL2UqS+N6QoiEVHDUZQKBAPX0P3yK7NyZSHzWrqO82AAA\ns4YWaNehC86difjgeiKRAHraqh/8PakbVHUMIBB9+CxWZPR5dGzbRl5sAICFWQN0bt8WEdHnP7ie\nhoFxmV9ESPhPIBRBuWHzMttU5r1LoKJWVMzwCK8KDpFQgLaW1XfqWgBAUxVobMyrp4FUkoGOGtRU\n3n9S7+GDv9DEqvSpzCZWzfHowb0PbrNhPW2IKlnoEv4QikTQMbH84O//evAILZo2KbW8edPGuPew\n9DfKAoCSmgbU9IyqKyKpxZTMmkOgro2id53qIW7eldMZRiuDd0dKAy0hmtSvnj+aUAi0b6QEIY0w\nPgkCgQDmxtoAk6GwsOREXWlpqdB+z22zOjq6SE9Pfe/2DHRUoa1Jdxd8KlS0dKGqawiZrPTn8alp\nadDRKX0thp6ONtLSS0/8JBCKoGPaiM5ufCIEQhFUWnaHDEBhYdXvtlRq2JLTO1Mqi3cFBwA0MxXB\n0qjyL1QBAJEQ6GolgpYaveA/JS+eP8Wkr4YiO7tqk3TpaavC1EirmlIRPmCM4YefNuPwseNQYDaB\nDxIIRdCzaAalci5EJXXLvcQXGDh3NXILClGVMx0iUysoW/JzziheFhwCgQAtzUT4zEIEkbDifzod\nDaBXCyXoavBy90klvXjxAhKJBG/TU9DMXB8aav9eEKStrYP09NJTBBed+dCV/1sgABoYacKsnhaN\nTj8xK1aswI8//ghDCytom1iUmHpUR0cbaWnppdZJSUuHjva/hamyuhYMGreCsmo5t9yROiUhIaHo\n2ANlqHWwg1Bbv2IbEAgAoRLEzbpA3KQdb489vLpL5V0CgQBmBgIYagnw4GUhnr5hkLGiv0vJwQeT\nL9NQARrXF8HMQMDbPxipnOTkZNjZ2UEkEiEyMhKGBnowYAypGTn4OyWr6FqN+3+VWu/Rg3to3LQZ\nBAB0tVRR30ADYmV+fW5Kqm7Tpk1YuHAhNm/eDC8vLwCAioY23ia9QE56Mpo3bYy//nOtBmPAvYfx\naNakMURiVWgYGkNVW5+OPZ+Yly9fwtbWFoaGhggPD4eGnh6Yfl8UvnyE/Kd/gWW/fd8b178FrVAE\nUX1LKJu3hFCF34UqbwuOYqpiAdqYK6F5A4a/0xjSshjSMhlEgqJbkFQFWbAyEUJfUwA9DSo0PkUZ\nGRlwdHREWloapFIp6tevD6CoaNXTVoOulio8Bg7A/HnfIe3NC+joGeHBwwdQUxHj2tXfsWjxMrSk\nr5//ZO3btw9Tp07FypUrMWnSJPlykVgFOqaW0KpvBjc3d8z73gfPXiejvqEB7v51F6qaOrj853X8\nsGwpDBq3omPPJyg5ORm2trYQCASIjIyEnl7RJF0CgQBKJk0gMm4MWXoSZGmvUZiRguzUJDxPSgEA\niOpbQty8DUQGpryaa6MsvJnaXFFBQUEAgMDAQBw+fBgLFy5E27ZtYWRkBBsbG47TkY8tJycH/fv3\nR1xcHGJjY9GsWbP3tsvMzETbtm2hpqYGb29vTJ06Fc2aNUN+fj5u3LgBTU3Nj5yc1AZHjx6Fh4cH\n5syZg1WrVn2wHfUf8l8ZGRmwtbXF8+fPIZVKYW5e9myyQUFBSExMxMyZMwEAW7ZsgZGRUa1/76pQ\nfcAUkJWVxQCwrKwsRZpzCkVTupX6sbGx4Toa+cjy8vKYi4sL09HRYdeuXSu3/ePHj9nAgQOZhoYG\nA8D69u3L4uPjaz4oqZVOnTrFxGIxmzhxIpPJZOW2p/5DimVnZ7O+ffsyIyMj9tdffym0Dl/fuypS\nH9S5gqPYrVu3GAB269YtrqMQDhQWFrJhw4YxdXV19uuvv1ZoXeo75Ndff2Xq6ups2LBhrLCwsELr\nUv/5tOXl5TFXV1emo6PD/vzzzwqty8e+U5H6gPfXcBDyX4wxTJ48GUFBQTh+/Dh69OjBdSTCI9ev\nX0f//v3Rr18/7Nmzp9IzGJNPj0wmw5gxY3D69GlERUWhXbt2XEeqVajgIHXO/PnzsWPHDgQGBsLW\n1pbrOIRH7t27Bzs7O3To0AGHDx+GsnLduFiP1DzGGL755hsEBgbSQOcDqOAgdcqqVauwatUq7N27\nFwMGDOA6DuGRJ0+eQCKRwNLSEseOHYOqKn1HDlHcggULsH37dhrolIEKDlJnbN26FfPmzcOmTZsw\ncuRIruMQHnn16hUkEgl0dHRw8uRJaGnRLLJEcf/73/+wcuVK7NmzBwMHDuQ6Tq1FH06SOsHPzw+T\nJ0/G8uXL8c0333Adh/BISkoK7O3tIZPJcOrUKejrV3AWSPJJ27ZtG+bOnYuNGzdi1KhRXMep1egM\nB+G90NBQjB49GrNmzcL8+fO5jkN4JDMzE05OTkhKSoJUKoWJiQnXkQiPHDx4EJMmTcKyZcswZcoU\nruPUelRwEF47c+YMPD09MXbsWKxevZpmcyQKy83NxYABA3D//n2cP38elpaWXEciPBIWFoaRI0di\n5syZWLBgAddxeIEKDsJbly5dgpubG9zd3bF161YqNojCCgoKMHToUFy6dAlnz55Fy5YtuY5EeOTs\n2bMYNGgQxowZgzVr1tCxR0FUcBBeunHjBhwdHWFjY4N9+/ZBJKIvVCOKkclkGDduHCIiIhAZGYkO\nHTpwHYnwyKVLl+Dq6gp3d3ds27aNio0KoIKD8M6DBw9gZ2cHa2trBAUFQSwWcx2J8ARjDNOnT4e/\nvz9CQ0PRu3dvriMRHrl16xYcHR3Rp08fGuhUAhUchFcSExMhkUjQsGFDhIWF1fovEyS1y6JFi7B5\n82YEBATAwcGB6ziERx48eABbW1tYW1sjMDCQBjqVQAUH4Y3Xr1/D1tYWGhoaOHnyJLS1tbmORHjk\nxx9/xPLly7Fz504MGjSI6ziER54+fQqJRIIGDRogLCwM6urqXEfiJSo4CC+kpqbC3t4eeXl5kEql\nMDQ05DoS4ZEdO3Zgzpw5WLduHcaOHct1HMIj7w50IiIiaKBTBVRwkFovKysLzs7OePnyJaRSKUxN\nTbmORHjk0KFDmDBhAnx8fDBjxgyu4xAeSUtLg4ODA3JzcxEbG0sDnSqigoPUarm5uRg4cCDu3r2L\nmJgYNG7cmOtIhEfCw8MxfPhwTJ06FT4+PlzHITxSPNB58eIFpFIpGjRowHUk3qOCg9RaBQUF8PLy\nwoULFxAdHY3WrVtzHYnwSExMDDw8PDBixAisW7eObl8kCsvLy8OXX36J27dv4/z58zTQqSZUcJBa\nSSaTwdvbG+Hh4YiIiECnTp24jkR45I8//oCLiwucnJzg6+sLoZC+NoooprCwEMOHD8evv/6KM2fO\n0ECnGlHBQWodxhhmzpyJ/fv3IyQkBDY2NlxHIjwSFxcHe3t79OjRAwcOHICSEh3miGIYY/D29kZY\nWBgiIiLQuXNnriPVKfRKJLXOkiVLsHHjRvj7+8PJyYnrOIRHHj16BFtbW7Rs2RLBwcFQUVHhOhLh\nCcYYZs2ahX379tFAp4ZQwUFqlZ9++glLliyBr68vBg8ezHUcwiPPnz+HRCKBsbExwsPDoaGhwXUk\nwiPLli3D+vXrcfDgQRro1BAqOEitsWvXLsycORNr1qzB+PHjuY5DeCQpKQm2trYQi8WIiIiAjo4O\n15EIj2zYsAE+Pj7Yvn07hgwZwnWcOosKDlIrBAYGYvz48Vi4cCFmz57NdRzCI+np6XB0dERmZiak\nUinq1avHdSTCI7t378b06dOxevVqeHt7cx2nTqOCg3AuIiICXl5emDx5MpYuXcp1HMIj2dnZcHFx\nQWJiImJjY2FmZsZ1JMIjQUFB+Oqrr7BgwQLMmTOH6zh1HhUchFOxsbEYOHAghg4divXr19NcCURh\neXl58PDwwM2bNxETEwMrKyuuIxEeiYyMxLBhwzBp0iQsW7aM6zifBCo4CGeuXr0KZ2dnODg4YOfO\nnTRXAlFYYWEhRo4ciZiYGJw+fRrW1tZcRyI8IpVKMWDAAAwZMgQbNmyggc5HQgUH4cSdO3dgb2+P\nrl27wt/fn+ZKIApjjOHrr79GSEgITpw4gW7dunEdifDI1atX4eTkBHt7e+zatYsGOh8RHeXJR5eQ\nkABbW1tYWVnh6NGjNFcCURhjDN9++y127dqF4OBg9O3bl+tIhEfu3r0Le3t7dOnSBQEBATTQ+cjo\n2SYf1YsXLyCRSGBoaIgTJ07QXAmkQlasWIG1a9di//79cHNz4zoO4ZGEhARIJBIa6HCICg7y0SQn\nJ8POzg4ikQiRkZHQ1dXlOhLhkU2bNmHhwoXYvHkzvLy8uI5DeOTly5ewtbWFgYEBwsPDoampyXWk\nTxIVHOSjyMjIgKOjI9LS0iCVSlG/fn2uIxEe2bdvH6ZOnYqVK1di0qRJXMchPJKcnAxbW1sIBAKc\nOnUKenp6XEf6ZFHBQWpcTk4O3NzckJCQgNjYWJibm3MdifDI0aNHMWbMGHz33XeYO3cu13EIj2Rk\nZKB///400KklqOAgNSo/Px+enp64evUqYmJi0KxZM64jER6JiorCkCFD4O3tjZUrV3Idh/BITk4O\n3N3d8ejRIxro1BJUcJAaI5PJMHr0aJw5cwZRUVFo27Yt15EIj1y4cAHu7u7w8PDA5s2baa4EorD8\n/HwMHjwYV65cwblz59C8eXOuIxFQwUFqCGMMkydPRlBQEI4fP44ePXpwHYnwyPXr19G/f3/069cP\ne/bsobkSiMJkMhnGjBmD06dPIyoqCu3ateM6EvkHFRykRsyfPx++vr4ICgqCra0t13EIj9y7dw92\ndnbo0KEDDh8+DGVlZa4jEZ5gjOGbb75BYGAgDXRqISo4SLVbtWoVVq1ahT179mDAgAFcxyE88uTJ\nE0gkElhaWuLYsWNQVVXlOhLhkQULFmD79u0IDAykgU4tRAUHqVZbt27FvHnzsHHjRowaNYrrOIRH\nXr16BYlEAh0dHZw8eRJaWlpcRyI88r///Q8rV67Enj17MHDgQK7jkPegD0ZJtfHz88PkyZOxbNky\nTJkyhes4hEdSUlJgb28PmUyGU6dOQV9fn+tIhEe2bduGuXPn0kCnlqMzHKRahIaGYvTo0Zg1axYW\nLFjAdRzCI2/fvoWTkxOSkpIglUphYmLCdSTCIwcPHpR/xTwNdGo3KjhIlZ05cwaenp4YO3YsVq9e\nTbcvEoXl5uZiwIABuH//Ps6fPw9LS0uuIxEeCQsLw8iRIzFz5kwa6PAAFRykSi5dugQ3Nze4u7tj\n69atVGwQhRUUFGDo0KH4/fffcfbsWbRs2ZLrSIRHoqOjMWjQIIwZMwZr1qyhYw8PUMFBKu3GjRtw\ndHSEjY0N9u3bB5FIxHUkwhMymQzjxo1DREQEIiMj0aFDB64jER65dOkSXF1d4ebmhm3btlGxwRNU\ncJBKefDgAezs7GBtbY2goCCIxWKuIxGeYIxh2rRp8Pf3R2hoKHr37s11JMIjN2/ehKOjI/r06YP9\n+/fTQIdHqOAgFZaYmAiJRIKGDRsiLCwMampqXEciPLJo0SJs2bIFAQEBcHBw4DoO4REa6PAbFRyk\nQl6/fg1bW1toaGjg5MmT0NbW5joS4ZEff/wRy5cvx86dOzFo0CCu4xAeefr0KSQSCRo0aICwsDCo\nq6tzHYlUEBUcRGGpqamwt7dHXl4epFIpDA0NuY5EeGTHjh2YM2cO1q1bh7Fjx3Idh/BI8UBHXV0d\nERERNNDhKSo4iEKysrLg7OyMly9fQiqVwtTUlOtIhEcCAgIwYcIE+Pj4YMaMGVzHITySlpYGe3t7\n5ObmIjY2lgY6PEYFBylXbm4uBg4ciLt37yImJgaNGzfmOhLhkfDwcIwYMQJTp06Fj48P13EIj/x3\noNOgQQOuI5EqoIKDlKmgoABeXl64cOECoqOj0bp1a64jER6JiYmBh4cHRowYgXXr1tHti0RheXl5\n+PLLL3H79m2cP3+eBjp1ABUc5INkMhm8vb0RHh6OiIgIdOrUietIhEcuX74MZ2dnODk5wdfXF0Ih\nfXUTUUxhYSG8vLwglUppoFOHUMFB3osxhpkzZ2L//v0ICQmBjY0N15EIj8TFxcHBwQE9e/bEgQMH\noKREhxqiGMYYvL29cfz4cZw8eRKdO3fmOhKpJnQUIO+1ZMkSbNy4Ef7+/nBycuI6DuGRR48ewdbW\nFi1btkRwcDBUVFS4jkR4gjGGWbNmYd++fQgJCcHnn3/OdSRSjajgIKX89NNPWLJkCXx9fTF48GCu\n4xAeef78OSQSCYyNjREeHg4NDQ2uIxEeWbZsGdavX4+DBw/SQKcOooKDlLBr1y7MnDkTa9aswfjx\n47mOQ3gkKSkJtra2EIvFiIiIgI6ODteRCI9s2LABPj4+2L59O4YMGcJ1HFIDqOAgcoGBgRg/fjwW\nLlyI2bNncx2H8Eh6ejocHR2RmZkJqVSKevXqcR2J8Mju3bsxffp0rF69Gt7e3lzHITWECg4CAIiI\niICXlxcmT56MpUuXch2H8Eh2djZcXFyQmJiI2NhYmJmZcR2J8EhQUBC++uorLFiwAHPmzOE6DqlB\nVHAQxMbGYuDAgRg6dCjWr19PcyUQheXl5cHDwwM3b95ETEwMrKysuI5EeCQyMhLDhg3DpEmTsGzZ\nMq7jkBpGBccn7urVq3B2doaDgwN27txJcyUQhRUWFmLkyJGIiYnB6dOnYW1tzXUkwiNSqRQDBgzA\nkCFDsGHDBhrofAKo4PiE3blzB/b29ujatSv8/f1prgSiMMYYvv76a4SEhODEiRPo1q0b15EIj1y9\nehVOTk6wt7fHrl27aKDziaB3mE9UQkICbG1tYWVlhaNHj9JcCURhjDF8++232LVrF4KDg9G3b1+u\nIxEeuXv3Luzt7dGlSxcEBATQQOcTQn/pT9CLFy8gkUhgaGiIEydO0FwJpEJWrFiBtWvXYv/+/XBz\nc+M6DuGRhIQESCQSGuh8oqjg+MQkJyfDzs4OQqEQkZGR0NXV5ToS4ZFNmzZh4cKF2Lx5M7y8vLiO\nQ3jk5cuXsLW1hYGBAcLDw6Gpqcl1JPKRUcHxCcnIyICjoyPS0tIglUpRv359riMRHtm3bx+mTp2K\nFStWYNKkSVzHITySnJwMW1tbAMCpU6egp6fHcSLCBSo4PhE5OTlwc3NDfHw8pFIpzM3NuY5EeOTo\n0aMYM2YMvvvuO8ybN4/rOIRHMjIy0L9/f6SlpSE2NpYGOp8wKjg+Afn5+fD09MTVq1dx7tw5NGvW\njOtIhEeioqIwZMgQeHt7Y+XKlVzHITySk5MDd3d3PHr0CLGxsbCwsOA6EuEQFRx1nEwmw+jRo3Hm\nzBlERUWhXbt2XEciPHLhwgW4u7vDw8MDmzdvprkSiMLy8/MxePBgXLlyBefOnUPz5s25jkQ4RgVH\nHcYYw+TJkxEUFITjx4+jR48eXEciPHL9+nX0798f/fr1w549e2iuBKIwmUyGMWPG4PTp0zh16hQN\ndAgAKjjqtPnz58PX1xdBQUHyC7YIUcS9e/dgZ2eHDh064PDhw1BWVuY6EuEJxhi++eYbBAYGIiws\nDD179uQ6EqklqOCoo1atWoVVq1Zhz549GDBgANdxCI88efIEEokElpaWOHbsGFRVVbmORHhkwYIF\n2L59OwIDA2FnZ8d1HFKLUMFRB23duhXz5s3Dxo0bMWrUKK7jEB559eoVJBIJdHR0cPLkSWhpaXEd\nifDI//73P6xcuRJ79uzBwIEDuY5Dahn6ULaO8fPzw+TJk7Fs2TJMmTKF6ziER1JSUmBvbw+ZTIZT\np05BX1+f60iER7Zt24a5c+diw4YNNNAh70VnOOqQ0NBQjB49GrNmzcKCBQu4jkN45O3bt3ByckJS\nUhKkUilMTEy4jkR45ODBg5g0aRKWLl2KqVOnch2H1FJUcNQRZ86cgaenJ8aOHYvVq1fT7YtEYbm5\nuRgwYADu37+P8+fPw9LSkutIhEfCwsIwcuRIzJw5EwsXLuQ6DqnFqOCoAy5dugQ3Nze4u7tj69at\nVGwQhRUUFGDo0KH4/fffcfbsWbRs2ZLrSIRHoqOjMWjQIIwZMwZr1qyhYw8pExUcPHfjxg04OjrC\nxsYG+/btg0gk4joS4QmZTIZx48YhIiICkZGR6NChA9eRCI9cunQJrq6ucHNzw7Zt26jYIOWigoPH\nHjx4ADs7O1hbWyMoKAhisZjrSIQnGGOYNm0a/P39ERoait69e3MdifDIzZs34ejoiD59+mD//v00\n0CEKoYKDpxITEyGRSNCwYUOEhYVBTU2N60iERxYtWoQtW7YgICAADg4OXMchPEIDHVJZVHDw0OvX\nr2FrawsNDQ2cPHkS2traXEciPPLjjz9i+fLl2LlzJwYNGsR1HMIjT58+hUQiQYMGDRAWFgZ1dXWu\nIxEeoYKDZ1JTU2Fvb4+8vDxIpVIYGhpyHYnwyI4dOzBnzhysW7cOY8eO5ToO4ZHigY66ujoiIiJo\noEMqjAoOHsnKyoKzszNevnwJqVQKU1NTriMRHgkICMCECRPg4+ODGTNmcB2H8EhaWhrs7e2Rm5uL\n2NhYGuiQSqGCgydyc3MxcOBA3L17FzExMWjcuDHXkQiPhIeHY8SIEZg6dSp8fHy4jkN45L8DnQYN\nGnAdifAUFRw8UFBQAC8vL1y4cAHR0dFo3bo115EIj8TExMDDwwMjRozAunXr6PZForC8vDx8+eWX\nuH37Ns6fP08DHVIlVHDUcjKZDN7e3ggPD0dERAQ6derEdSTCI5cvX4azszOcnJzg6+sLoZC+Poko\nprCwEF5eXpBKpTTQIdWCCo5ajDGGWbNmYf/+/QgJCYGNjQ3XkQiPxMXFwcHBAT179sSBAwegpEQv\nd6KY4oFOWFgYIiIi0LlzZ64jkTqAjkC12NKlS7Fhwwb4+/vDycmJ6ziERx49egRbW1u0bNkSwcHB\nUFFR4ToS4Ynigc6+fftw9OhRfP7551xHInUEFRy11Pr167F48WL4+vpi8ODBXMchPPLs2TNIJBIY\nGxsjPDwcGhoaXEciPFI80Dlw4ACcnZ25jkPqECo4aqFdu3ZhxowZWLNmDcaPH891HMIjSUlJsLOz\ng1gsRkREBHR0dLiORHikeKCzfft2DB06lOs4pI6hgqOWCQwMxPjx47Fw4ULMnj2b6ziER9LT0+Hg\n4IDMzExIpVLUq1eP60iER4oHOqtXr4a3tzfXcUgdRAVHLRIREQEvLy9MnjwZS5cu5ToO4ZHs7Gy4\nuLjg6dOniI2NhZmZGdeRCI8EBQVh/PjxmD9/PubMmcN1HFJHUcFRS8TGxmLgwIEYOnQo1q9fT3Ml\nEIXl5eXBw8MDN2/eRExMDKysrLiORHgkIiICw4YNw9dff43ly5dzHYfUYVRw1AJXr16Fs7Mz7O3t\nsXPnTporgSissLAQI0eORExMDE6fPg1ra2uuIxEekUqlGDhwIIYMGYKNGzfSQIfUKCo4OHbnzh3Y\n29ujS5cuCAgIoLkSiMIYY5g4cSKOHj2KEydOoFu3blxHIjxy9epVODk5wd7eHrt27aKBDqlx9O7G\noYSEBNja2sLKygohISE0VwJRGGMMc+bMwe7duxEcHIx+/fpxHYnwyN27d2Fvb4/OnTvD39+fBjrk\no6BexpEXL15AIpHA0NCQ5kogFbZixQqsXbsW+/fvh5ubG9dxCI8kJCRAIpGgadOmCAkJgaqqKteR\nyCeCzqFxIDk5GXZ2dhAKhYiMjISenh7XkQiPbNq0CQsXLsTmzZsxfPhwruMQHnn58iVsbW1hYGCA\nEydOQFNTk+tI5BNCZzg+soyMDDg6OiItLQ1SqRT169fnOhLhkX379mHq1KlYsWIFJk2axHUcwiPJ\nycmwtbUFAJw6dYoGOuSjo4LjI8rJyYGbmxvi4+MhlUphbm7OdSTCI0ePHsWYMWPw3XffYd68eVzH\nITySkZGB/v37Iy0tDbGxsTTQIZygguMjyc/Ph6enJ65evYpz586hWbNmXEciPBIVFYUhQ4bA29sb\nK1eu5DoO4ZGcnBy4u7vj0aNHiI2NhYWFBdeRyCeKCo6PQCaTYfTo0Thz5gyioqLQrl07riMRHrlw\n4QLc3d3h4eGBzZs301wJRGH5+fkYPHgwrly5gnPnzqF58+ZcRyKfMCo4ahhjDJMnT0ZQUBCOHz+O\nHj16cB2J8Mj169fRv39/9OvXD3v27KG5EojCZDIZxowZg9OnT+PUqVM00CGco4Kjhs2fPx++vr4I\nCgqSX7BFiCLu3bsHOzs7dOjQAYcPH4aysjLXkQhPMMbwzTffIDAwEGFhYejZsyfXkQihgqMmrVq1\nCqtWrcKePXswYMAAruMQHnny5AkkEgksLS1x7NgxmiuBVMiCBQuwfft2BAYGws7Ojus4hACggqPG\nbN26FfPmzcPGjRsxatQoruMQHnn16hUkEgl0dHRw8uRJaGlpcR2J8Mj//vc/rFy5Env27MHAgQO5\njkOIHH0gXAP8/PwwefJkLFu2DFOmTOE6DuGRlJQU2NvbQyaT4dSpU9DX1+c6EuGRbdu2Ye7cudiw\nYQMNdEitQ2c4qlloaChGjx6NWbNmYcGCBVzHITzy9u1bODk5ISkpCVKpFCYmJlxHIjxy8OBBTJo0\nCUuXLsXUqVO5jkNIKVRwVKMzZ87A09MTY8eOxerVq+n2RaKw3NxcDBgwAPfv38f58+dhaWnJdSTC\nI2FhYRg5ciRmzJiBhQsXch2HkPeigqOaXLp0CW5ubnB3d8fWrVup2CAKKygowNChQ/H777/j7Nmz\naNmyJdeRCI9ER0dj0KBBGD16NH788Uc69pBaiwqOanDjxg04OjrCxsYG+/btg0gk4joS4QmZTIZx\n48YhIiICkZGR6NChA9eRCI9cunQJrq6ucHNzw/bt26nYILUaFRxV9ODBA9jZ2cHa2hpBQUEQi8Vc\nRyI8wRjDtGnT4O/vj9DQUPTu3ZvrSIRHbt68CUdHR/Tp0wf79++ngQ6p9ajgqIKnT59CIpGgYcOG\nCAsLg5qaGteRCI8sWrQIW7ZsQUBAABwcHLiOQ3ikeKDTpk0bGugQ3qCCo5Jev34NW1tbaGho4OTJ\nk9DW1uY6EuGRH3/8EcuXL8fOnTsxaNAgruMQHike6DRo0ADHjx+Huro615EIUQgVHJWQlpYGe3t7\n5ObmQiqVwtDQkOtIhEd27NiBOXPmYN26dRg7dizXcQiPFA901NXVERERQQMdwitUcFRQVlYWnJ2d\n8fLlS0ilUpiamnIdifBIQEAAJkyYAB8fH8yYMYPrOIRHigc6OTk5NNAhvEQFRwXk5eVh4MCBuHPn\nDmJiYtC4cWOuIxEeCQ8Px4gRIzB16lT4+PhwHYfwyLsDndjYWDRo0IDrSIRUGBUcCiooKICXlxcu\nXLiA6OhotG7dmutIhEdiYmLg4eGBESNGYN26dXT7IlFYXl4evvzyS9y+fRsxMTFo0qQJ15EIqRQq\nOBQgk8ng7e2N48ePIyIiAp06deI6EuGRy5cvw9nZGU5OTvD19YVQSF9hRBRTWFgILy8vSKVSREdH\no02bNlxHIqTSqOAoB2MMs2bNwv79+xESEgIbGxuuIxEeiYuLg4ODA3r27IkDBw5ASYleckQxxQOd\nsLAwREREoHPnzlxHIqRK6OhXjqVLl2LDhg3w9/eHk5MT13EIjzx69Ai2trZo2bIlgoODoaKiwnUk\nwhPFA519+/bh6NGj+Pzzz7mOREiVUcFRhvXr12Px4sXw9fXF4MGDuY5DeOTZs2eQSCQwNjZGeHg4\nNDQ0uI5EeKR4oHPgwAE4OztzHYeQakEFxwfs2rULM2bMwJo1azB+/Hiu4xAeSUpKgp2dHcRiMSIi\nIqCjo8N1JMIjxQOd7du3Y+jQoVzHIaTaUMHxHoGBgRg/fjwWLFiA2bNncx2H8Eh6ejocHBzw9u1b\nSKVS1KtXj+tIhEeKBzqrV6+Gt7c313EIqVZUcPxHREQEvLy8MGnSJCxbtozrOIRHsrOz4eLigqdP\nnyI2NhYNGzbkOhLhkaCgIIwfPx7z58/HnDlzuI5DSLWr8fvzduzYgRYtWkBFRQXNmzfHtm3bFF5X\nKpWiR48eUFNTg7GxMWbOnIns7OxS7eLi4mBnZwdNTU0YGBhgzJgxSEtLq3DW2NhYDBw4EEOHDsWG\nDRsqNFeCTCbDypUrYWlpCVVVVbRt2xbBwcHvbVuV5+RTsnfvXnz55ZewsLCAQCDA6NGjK7T++/pF\ncnJyqXaJiYnw8PCAjo4OtLW1MW3atApnzcvLg4eHB27cuIFTp07BysqqwttQtF+EhISgffv2UFVV\nhYWFBZYvX47CwsIKP15d9eLFC8ybNw+dOnWCrq4ujIyM0K9fP5w/f17hbXzsY09ERASGDRuGr7/+\nGsuXL6/QunTsqX5jxoxBy5Ytoa2tDU1NTbRt2xabNm1S+HWm6Gv0v/1s9erV1b0r5crJycGcOXNg\nYmICNTU1dO/e/b2vlYr0sw9iCsjKymIAWFZWliLN5Xx9fZlAIGDz589n0dHRbMGCBUwgELAtW7aU\nu+7169eZqqoqc3NzY6dPn2Y7duxgurq6zNPTs0S7Z8+eMUNDQ9arVy928uRJ5u/vz8zMzFjbtm0Z\nAHbr1i2Fsl65coVpa2szd3d3lp+fX6H9ZIyx+fPnM7FYzNasWcOio6OZt7c3EwgELDw8vES7qjwn\nnxqJRMLatm3Lxo0bx7S1tdmoUaMUXvdD/aJ79+6ssLBQ3i4zM5M1bdqUtW7dmh09epSFhIQwKysr\nBoD9/vvvCj1WQUEBGzx4MNPQ0GAXL16s6G4yxhTvFxEREUwoFLLx48ez6OhotnbtWqaiosK+/fbb\nSj1uXRQWFsYaNWrEli5dyk6dOsWOHz/O+vfvzwQCAQsLCyt3/Y997ImNjWVqampsxIgRJfqmoujY\nU/0GDx7MNm/ezCIiIlhkZCSbOXMmEwgEbOrUqeWuq+hr9H39TFtbu0J9pzoMGzaM6ejoMF9fX3b6\n9Gk2YMAApqqqyv78888S7T7Uz44cOaJwfVClgsPCwoL5+Pi8d538/HxmZGTERo4cWWL5mDFjmIGB\nAcvLyyvzMd3d3VnTpk1LtNu7dy8DwK5cuSJfNn36dKajo8NSUlLky2JiYhgAhf9wt2/fZoaGhkwi\nkbCcnJxSvwfAdu/e/cH1X716xcRiMVu0aFGJ5X379mXW1tbyf1f1Oalryuo/jLESB98GDRpUqOAo\nq18EBwfLl61fv54JhUJ2//59+bKIiAgGgM2ZM6fcx5HJZOyrr75iYrGYnT59+r1tytvPivSLdu3a\nsT59+pRot2TJEqasrMxevHhRbt66oqznNCUlpdSgIT8/nzVr1oz17t273G1/zGNPeQMdOvbUjPJe\nk+8zZMgQpqmpWW47RV+j7+tnP/zwAwPADh8+XKFs7xMfH88AsLNnz36wzbVr1xgAtmvXLvmy4teK\ni4uLfFlZ/axNmzYKFxw19pHKxYsX8fr1awwfPrzE8hEjRuDNmzeQSqUfXDc/Px8RERHw9PSEsrKy\nfLmnpyfEYjGOHTsmXxYaGgonJycUyNQQGPoUS9fewbaDqlBVrw8DYxv8b0sqNu18iNjfknDl6jW4\nurpCT08Pampq6NmzJw4fPgxbW1tYWVkhJCSkUnMlREZGIi8vr9S+Dh8+HDdv3kR8fHyVn5NPUVVm\n5CzuF7q6uvJlffr0gbm5ean+061bN2TkN4Df8RT4bH6JwF+bQd+kPfwOx2Cj32uEn09HUkoB4uPj\n4eXlBSMjI6ioqKBdu3Zwd3fH7t27cfjwYfTr169SWRXtF4mJibh27dp72+Xn5+PkyZOVevy6RldX\nt9QEa0pKSmjXrh2ePXtW5rqVOfYwkTbOXy/AwdO5+O1ZF+joN0Sz9u44ed0E4RfzcedxIf78s/Sx\nx8/PD/b29ujcuTP8/f0rNSkcHXs+HgMDg3L/Roq+Rov72aBBnkhMVob0DhB8EdD9bApESmLsD72G\nqOvA9QQgM6foqxH69esHLS0taGhowN7eHrdu3aryPoWGhkJZWbnEtA9KSkoYMmQIIiMjkZubC6Ds\nflaRHDVWcMTFxQFAqal4i7+D5Pbt2x9c9+HDh8jJySm1rqqqKpo0aSJfNzs7G/Hx8XieZISBY37D\nzzsf4vT5v/HkWTbUNCyRm/0Sj54UIPj4M0z59ii6dumOu/deYOvW7QgODoaGhgYGDx4MdXX1Ks2V\nEBcXBxUVFTRt2rTMfa3Kc0IUV9wv3jcNdOvWreXPc2Ehw9Vrt5CS2wirdv6Nk7HpuBufi4wsIfTq\ntUby3w9w4XoW/I6nYOzcy7Bu2xl/XLmGn376CaGhoRCJRAgNDcXUqVPh5uZW6byK9osPtWvUqBHU\n1dWp/5QhLy8PFy9eRMuWLctsV9FjT65yC6w8kIsTv+Xj+kMZktIY9E1aIj35Cf5OV4X0ZgFWbb+E\nrt16IiHxDbZv90VwcDDU1NQwYsQIGBsbIyQkBKqqqpXaLzr21BzGGAoKCpCamorg4GDs3bsXM2fO\nLHMdRV+j9+4X9bM3gjY4eRW4+Rh4mQowkRaMTJrgacI93H8O/HoXmPO/cPTt1w8qqprw8/PDwYMH\nkZGRgd69eyMxMbFK+xgXFyfP9q7WrVsjLy8PDx48kLcrq58pqkIldUFBAQoKCkosk8lkJZYJBAKI\nRCL5xXl6enol2uvr6wPAey/eK/ahdYvXT05OhkzGsPvgLTDG8PSlCPXNS7ZTEmshOzPxn9wMCbe3\nQaxWD/WsVuL4eR1MH2+K58+fQ1lZGU2aNJE/FmPsvRf3/Hc/hUKhfASenJwMXV3dUheZ/ndfq/Kc\n8J2iz2tx/6mKlJQUMMY+2H/++usvPH2Vj00HXiM9NQXGQi0AQME78cSqusjLSQNjAGPArQvrUVDA\n0Nr2ANSMLfHX7f24evUqWrRogejo6Crtp6L9oqzXhZ6eXp3tP9XRdxYvXoynT5/iwIEDZT6WIsee\nQhnDsZi/wRhDRn7RHCsy9m87VQ19JL+6D0CAQhlw7sgCaOk3hN24E3ghVEG/pmmIj4+HiooKzM3N\noampWaH9pGNPxVS2/4SHh8PFxUX+u7lz5+L7778v87EUeY2+TgcCzxW1U1Itavdu/1HX0kdmRjIY\nADAgcPs0NG1jA5cpx2DeHGhnCXzxxRdo3Lgx1q5di/Xr18v3RyaTybdTvM+FhYVl9p8P9fV396e8\nfqaoCp3h0NbWhrKysvzn8ePHWLZsWYlllT2tXBGMAT+s/wt7Dj0BAMgYK7N9YWEu0pKvwcDkczCZ\nAI8T0zF1wS3kFDbAsGHDcOnSJXnbvXv3ltif4tOq48aNK7Fs7NixNbeDdVBMTEyp55Wr/pNfwDB/\nwws8eZmv8DovE2Jg3OhziJS1EHAiCQFRIixduhzjxo3D9evXkZ6eDqB27WddUdXn9ODBg1i1ahW+\n//579O7du0pZGAP8ovJw/nqB/N9lyc/LRuL9WDTvMAAQCPHs7zz8Eg4YNGgLLy8vXLx4Ud6Wjj01\no7L9p3fv3rh8+TJOnz6NuXPn4scff8SCBQuqlCUzp+ijk7elb3h6r7+f3UfSi4fo/IUX8gsKEBtX\ngFNXC6Cqpl7qbpKlS5eW2J/isxESiaTE8qVLl1ZpH6qiQmc4YmNjS5z6c3V1hbOzc4kJarS0ikaL\nxVVTSkoKTExM5L8vrpjKqozeXfe/kpOToaxqgVPnXkGkpAlAgML8t6XaFeRlQEn5n5FrXjrAZHh6\nfx+e3t9Xot3Du0X/lclkEAqFcHFxweXLl0u06dy5M3x8fEpMMWxoaFgib2pqKhhjJSrA/+5rVZ4T\nvuvYsWOp57Ws/lMVxZX4+/rP8xdJyMrTQl4+A2OAsqoO8nJL38aYl5MKseq/M4TmZL3B49tH8Pj2\nEfmyi8f/bf/mzRtoa2tXaj8V7RdlvS5SUlLqbP+pSt8JCwvD6NGjMW7cOCxZsqTcxyrv2KNl2BK3\nE2RQUdMFBALkZKWWapeTmQw1jaLt5GQlg8kKcfHEKlw8sapEu8uxRf+lY0/Nqmz/0dHRkX8zeL9+\n/SAWi7Fs2TJMmjQJDRo0eO9jldl/UlLwJlcfhTJATbOoXdbb0u2yMpJhYlH0UUVG6t8AgAPrx+HA\n+nGl2pqb/3tq39vbu0Q/efHiBVxdXbFt2zZ07NhRvtzU1LRE3sePH5fO+p7+U1Y/U1SFCo6OHTtC\nTU1N/m+xWAxTU9P3fl178Wc7cXFxJTp48WdYrVq1+uDjNGnSBCoqKvLPw4rl5OTg4cNHqG/RBVoM\nEIlUoaJujKyM+FLbyHqbAG2DdgAAJWVNAEKYWLrDyMxO3kYoBAz0VLD025byU0wGBgYwMDAotT1L\nS8sPfi1969atkZubi4cPH5b4jOu/+1qV54TvtLS0Sj1/ZfWfqlBXV4elpWWp/lNQyHDlzzjom3aR\nj0x1DKyQnnS/1DbS39yHtsG/f0sVVV0YmnVBi84TS7Qb4qiLts3V5C/iyuynov3i3Xbdu3eXt0tI\nSEBWVlad7T+V7TtnzpzBoEGDMGDAAGzfvl2hxyrv2NOxkXtRoSpWh46+BZJe3Cm1jTcv7qKhVdGZ\nFBU1XQgEQrS3mYDW3YbJ2wgEgL6WAEP6iunYU8Oq69jTqVMnyGQyxMfHf7Dg+NBr9MHDBGRnZcG4\nYdHzbGjSBErKKnjxuGQ/y8/LQdLLR2jfexAAQEO7qD+4jl6J5u0kJdr2aglYGovl/zY1NS1RTCQk\nJAAAmjdvXmb/OXr0KLKyskpcx3H79m2IxWJ5nyqvnymqxi4a7d69OwwNDUt9Zurn5wd9fX307Nnz\ng+uKxWI4ODjg8OHDJT57Ouh/GHl5uTAw7iFfpl+/B5L//g0F75zlSE++gdzsV9CvX9ROpKQGbX1r\nZKY/hKZOM2jptoCWbgtoaLdAHmuEmw+qNv20g4MDlJWV37uvbdq0QaNGjQBU7TkhFePq6orw8PAS\nkzCt+TkS6SlPYdrYVr7MtIkEb178ibepT+TLMtMSkfT8Ckyb/NvOuJEN0l7fhbZBM+gbfyb/ib1j\ngRat2lfpm2AV7Rfm5uZo27bte9spKyvD0dGx0hnqmosXL8LNzQ39+vWDn5+fwnc8fejYc8A/EHl5\nuWj62b/fGN30Myc8uhmB3Ox/+9jTBxeQnvwETf5pJ1bRgFnTnvj72U3Ub9gexhYdYWzREfXNO0Ks\n3wHZ4nZV2k869nw8MTExEAgEaNy48QfbfOg1unqTH0RKymjVqeg1qqQsRquODrgaexiFhf/2sz+l\nQSjIz4V1V1cAQH2z5jCob4kXj+Ng0axTiZ8kUSe0bPVZlfbJxcUF+fn5CAwMlC8rKCjAoUOHYGdn\nJz+uldXPKnLhaI1Nba6srFzi9JNEIkF0dDR27dqFTZs2QSz+tzIbN24c9u7dW+IFvnjxYnTr1g2e\nnp6YPHkyEhISMH36bBiY2EBDp7m8XYPGQ/D6aRTuXF4As6bDUFCQicd3tkNTtyUMjP/9vLZR68m4\neWEq4i7NQf2G/SFWNUB+Xhoy0+5j5V8yjPTcBzXVyl2sWK9ePcycORMrV66ElpYWOnTogEOHDiE6\nOhqhoaGVek5IUfX87l0Bjx8/RlBQEADAxsYGRkZGAIo+u1y6dCkePnwICwsLAMCcOXPg5+cHV1dX\nzJs3D8kpqfjBZzb0TdqhgZW9/DEafzYUD67tw6/HxqNNz1kABLh1YS3UtUzQ+LN/R6Ste8zEmQNu\nOHvIE1btR0Jd2wz5OWlIf3MPA66+QtSJ/ZXez4r0ixUrVsDZ2RkTJkzA0KFD8eeff2L58uWYNm0a\njI2NK52hLrl79y6cnJxgaGiIOXPm4MqVKyV+361bN/n/K3rsmTFzDpp3GABjiw7ydp3tpuP27wE4\nsnUQutnPRm52OmKOLoCJZWc0a+cqb/eFxyr4r7ND4CZXWPcYBU0dY2S9fYO/E//Er6EyxISugUik\n+KzG76JjT/ULDw/H7t274eLiAnNzc2RkZODkyZPw9fXFhAkTSpxF6NevHx4/fiy/mwMo/Rr9448/\nsXvLcnzuNg3a+v++Rvt7LcaPM7th10pP9HGejDevEhCycw7a9/KAuVXRRyACgQCekzZj+1I3FBbk\noX1vT2jqGCIj5RUe3bmAuzHmWL207DtnytK+fXsMHjwY06dPR35+Pho1aoStW7ciPj6+RHFRVj8L\nDAyEh4eHYg+oyAQilZn4q9i2bduYlZUVE4vFrGnTpmzz5s2l2owaNYq9L0pMTAzr1q0bU1FRYfXq\n1WMt2w5h3R0jWE/ncyV+2vXZxXQMOzKhSJWJlDVZPTN71sXuWKl27W32MkPTL5iyWJcJhMpMrGrI\n9Or3YK26rGJhp55/cB9QzuQ7jBXNNrls2TJmbm7OxGIxs7a2ZoGBgZV+Tj4F5fUfHx8f+SRK//15\ndzKb4nbx8fEl1r9x4waTSCRMXV2daWnpMsvWXzK3SX8yz1kJJX6cxv/KGlg5MCWxJlNS1mCmTWyZ\n01expdo5e19kjdoMZmqa9ZlQqMxUNYxYffNeTOKxgclkskrvZzFF+0VwcDD77LPPmFgsZg0bNmRL\nlixhBQUF5W6/LinrOd29e/cH+81/jzOKHnt62E9m0zcksTlbs0r8jF74O7No0Zcpi9WZipoua91t\nOPtmTWKpdmMXXWUtOnowdU0jJlISM01dU9bEuj/7cvIRduPhh/92dOypGWX1nzt37rABAwYwMzMz\nJhaLWb169VjPnj2Zn59fqZlgbWxsmIWFRaltvPsaNTZtyJyGL2EbwwrYzydYiZ/p/4thli26MSVl\nFaalW4997jaNrTuSWardzLUXWOvOTkxNU5cpKasw/XoWrEOfwWzJ1gsf3EdFJv5irOj9fcaMGax+\n/fpMRUWFdenS5b3rfKifVWQmcgFj5V1nXTS6VFdXR1ZWVolrOD6m9Lf56D/0Qo1sWygE+vYywuI5\ndfdzzE/dL8FvEH3pLQpl5betjM0LGsBQj74LsS5KyZBh5YHcGtm2UAh0bSHCgD50hqGuOnUNePCi\nqNqtCeMkgKpy+e1qSkXqgxr/8rbq8teD0neiVBeZDLh1N73Gtk+491dCbo0VGwDw6GlezW2ccOrp\n65p6qyg69iS8qsGOSTj3MqXmig0AeF3x7wrkDG+GZC9e5UAoLHqB1oS/X+eWujKd1B2vkjQAVO5z\n8vIIhQzX455CQ6j4vB6EP24/1YFQoA8Zq5n+k5RaQMeeOiwjpxVq6tgjEADpCs7pURvwpuAoKJD9\nc/9vzdSKMlZ6OlpSdwycehtKyurlN6yE/Lx8rPtpPbx/31oj2yfc6mI3Cz1dFkJJqfJ3IpUlM6v0\nVOqk7vj5RE2e36i5QXhN4E3BoaYmgkxWc384ZSVUy5fhkNrpx4OqyKqZj+GhrKyMb2dPR5dWk2vm\nAQin7jzTxuV4cbmzilaWloYqHXvqsPNPZJDV0NULjBW9d/EFb6I2Ntco9wWfm/03nj30x9vUv5CZ\n/hAyWS469vWHqrpJ2SsCaGyhWeEvoiH80bjhK9x6kFNmm6yMF7j7+zakvLqB1Nd3UFiQA6evYqGh\n0/D/7d1dbFtnHcfx7/PYsV2nTZzYcZzEadLEbkjSpE1E62bN0o4gtq4r0ygD2l2AkBjshRchwcWQ\nkJjQUIfEDeLtAjFVYxJsAi54kdguKgGahtahsQq0gdptbaZs7ZSwtsQsTQ4XXqR1S+0T2yfxSX6f\n65NHT+S/j3/POc9L0b9bdAy50a0M9JZ3AJfUtkhsgb+eKT5H59LMeZ754/eYfuU5Lpx/gavzc9z9\n7X/SGO8q2f7W1jrde9ax07NwscQUwZmL53ny8eO8+q9nmTr7PPP/m+NbPztLvLW7ZPvxzVXp5qrw\nzaTRnq56giXWquevTHHxtZME67bQEHe/IUowYNjR31BpF6WGZbtClDoT7vLsy5x76XfURRpJdOxe\nUfvdHVplsF61J0rfJmcunOHFU78iEo2RzrjfRCtgoTPpm9uwlKEtBrbEFI4Lr/2bv/3pl0Q3N9E7\n6P68H2ugufLTIFaNbyq9rs4ynosX3SCnIb6TPR/5NQO548Tb9rtu++qCw037WqrRTalRe4aiLHNg\n5DVa0jluv+dZJj72CJ3bDxW/+B3WwlA2QjTim6+SrNCmsCHTYTFFfjQ6M+Pc9/DLfPz+3xQOanNp\nYRGGeys7HVlqW2/q2tNgl5PZMcF3Hnudex/8PaPjd7pq1xjY1loIrX7ho67Ckds6WFi4/idnzMr/\nHWOgs30TOwcbS18svtWTDtOTDhX90SinfhYX4eC4j4YYUpZ9Q8Gir3SNy63Tr/kbA+kW4+oJivhX\nezM0lpiv7nbr/XdzHBgu/caupviq0nftaGR0OFb2NsDLcRy45zM915yAJ+vTsUOxqk78sxZ6O0OM\n9K/NZniyevq3WtItpuSj8ZVwHDiYW8Mdm2RVGAM39JW+bqVtdjRDW1N12/WarwKHMYYHvtxHMGiq\nsqo5EDBM3tjCxFii9MXie0PZTUzmNlPGYGJZ1sD9RxPYav4KSU2ytnCya7W2U7AGcgMBsmm9TtkI\nelKQSVH0CetKBAxMDlevvdXiq8ABkEpGePDrA2Aq++4HAoaudJSv3be9an2T2vfp25voSYeqEjru\n/VSC9qRGqBtFssnyyZsq/7ytgY4Ww+Ex1c5GcmAHNNVXHhIMcPMIbPHhg1XfBQ6AfXviPPTAIMGg\nKev1ijWQ3VbP9x/ayeZ636wMlioIhyzfuLuVvu5wWV98awuTtL50V4J9I/XV76DUtJFskKOTdVhT\neuXBcgzQlbJ87rYwoTqfDU+lIuE6uCMHiS3lDZaNKdx/Do5Cd7Lq3VsVvgwcADfuTXDiBx/kA5nC\nImQ3I9ZAwGAtfPZYNz/+7giNDRphbETRiOWbX2jlrkMxAtbdLO+lcNKZquP4V9sUNjawkWyQr9wZ\nJtVcKAo3wdWaQp3dOhbk84dDREIKGxtRJARHxmB3phA63ITWpUtaG+HoeGFlil/5enjf2R7lRw+P\n8Odn3uSJ307x3N9nAQpPPt75JJeCyKZIgI/enOKOWztIt/vwWZRUlbWGwwcayQ3X89TTl3jy6Uv8\nN+8URq72/QF2e1eIW8YbyA1FqzppWfwp1Wz54pEwL5xZ4C+nr/LKdGE2cuBdtbNUJZEQ7B0IMjYY\noGmLb8d4UiUBC7uzkG2H06/CP87B/EKhXox5f4Btb4bhbtiW9N+cjffydeCAwg/HxFiCibEEM7Nv\n88Of/JzpN/Is/GeKl4DRvrP0980zOJDmw5OZte6u1Jhkc5Bjh5r4xC0xzk3P88iJX/DW5QVety8C\nMNR2ir7MFNu6Utywy/3eLrL+BaxhVybIrkyQt644/PTE48zOLGIuPw9Aw9tP0RtKku1O8qG9B9a2\ns1JzYvUw3g9j2+HNy/DoY0+Qn4cr06cAsG/8gVi4haZoCz2t6+PeYxyn9ELBlZx3v9aut7x1//79\nnDx5cnU7I76j+pFyqXakEn6tn5XkA98/4XgvF/lJ5LpUP1Iu1Y5UYiPUj14oioiIiOcUOERERMRz\nChwiIiLiOQUOERER8ZwCh4iIiHhOgUNEREQ8p8AhIiIinlPgEBEREc8pcIiIiIjnFDhERETEcwoc\nIiIi4jkFDhEREfGcAoeIiIh4ToFDREREPKfAISIiIp5T4BARERHPBd1c5DgOAHNzc552RkRERPxj\nKRcs5YRiXAWOfD4PQDwer6BbIiIish7l83mi0WjRa4zjIpYsLi4yOztLJBLBGFO1DoqIiIh/OY5D\nPp8nFothbfFZGq4Ch4iIiEglNGlUREREPKfAISIiIp5T4BARERHPKXCIiIiI5xQ4RERExHMKHCIi\nIuI5BQ4RERHx3P8BDlkODmLkkx8AAAAASUVORK5CYII=\n" } } ], "source": [ "for i in range(2):\n", " for j in range(3):\n", " idx = 4 * i + j\n", " geom.add_edge(geom.nodes[idx], geom.nodes[idx + 5])\n", "\n", "draw_geometry(geom, edge_color=\"k\")" ], "id": "38a0b8a0" }, { "cell_type": "markdown", "metadata": {}, "source": [ "このように,三角形メッシュを作ることができました.`psiclone` の COT\n", "表現計算アルゴリズムは,グラフ上に定義されたスカラー値と,グラフの隣接構造に基づいています.したがって,このように同じ座標上で定義されたスカラーデータであっても,グラフの隣接構造が異なれば一般には計算結果も異なる可能性があることに注意してください.\n", "\n", "また,`Geometry`\n", "はただのグラフ構造データですから,次の例のように三角形以外の構造を持っていても構いません." ], "id": "22fe530b-0303-49d3-b27c-cf8c5067922f" }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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AKLRsDR67V1ClHT16FGfPncPly5fxc8+e+BRyBe8OnUHSzfvIfPmmoB1PXhbq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\nQwghhBBO9/+lDTGAADPeQQAAAABJRU5ErkJggg==\n" } } ], "source": [ "from psiclone.data import Geotype\n", "\n", "ex_node = geom.add_node(id=12, x=4.5, y=1, level=-1, geotype=Geotype.EXTERIOR)\n", "geom.add_edge(ex_node, geom.nodes[3])\n", "geom.add_edge(ex_node, geom.nodes[11])\n", "draw_geometry(geom, edge_color=\"k\")" ], "id": "493f7266" }, { "cell_type": "markdown", "metadata": {}, "source": [ "もう少し実用的に,メッシュデータから COT\n", "表現を計算する例を見てみましょう.ここでは,`scipy.spatial.Delaunay`\n", "を使って,ドロネー三角形分割の上にデータを定義してみます.`Delaunay()`\n", "の詳細については[SciPy\n", "のドキュメント](https://docs.scipy.org/doc/scipy/reference/generated/scipy.spatial.Delaunay.html)を参照してください." ], "id": "788a5c44-0c80-4759-b569-a6a15096904a" }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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PPN2UPLAohRumxfLixlOs3l/Kx3tL+OZwOffOT2LZRBdeOfavAY+7GGpE5UcgGKaYTDI7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\nrkJggg==\n" } } ], "source": [ "import matplotlib.pyplot as plt\n", "from scipy.spatial import Delaunay\n", "\n", "# Generate Delauny triangulation from random points\n", "num_points = 20\n", "points = numpy.random.rand(num_points, 2)\n", "tri = Delaunay(points)\n", "\n", "plt.triplot(points[:, 0], points[:, 1], tri.simplices)\n", "plt.plot(points[:, 0], points[:, 1], \"o\")\n", "plt.show()" ], "id": "3c0112b7" }, { "cell_type": "markdown", "metadata": {}, "source": [ "ランダム生成した点群 `points` から,`scipy.spatial.Delaunay()`\n", "関数を用いてドロネー三角形分割を生成しました.結果はオブジェクト `tri`\n", "に格納されています.三角形(単体 = simplex)のデータは `tri.simplices`\n", "に格納されています.各 `simplex`\n", "は,ノード番号の三つ組になっています.これらをもとに,ノードとエッジを空の\n", "`Geometry` オブジェクトに追加していきます.\n", "\n", "`Geometry` の各ノードにいくつかの付加情報が必要です.`geotype`\n", "属性は,入力空間の内部ノードには `Geotype.INTERIOR`\n", "を,入力空間の境界(外部)ノードには `Geotype.EXTERIOR`\n", "を割り当てます.他にも,データの境界条件によっては `order`\n", "属性も必要となる場合があります.なお,入力空間が単連結でなく多重連結空間である場合には,`geotype`\n", "属性にさらに他の値を割り振る必要があります(詳しくは,\n", "[`psiclone.util.mcdomain`\n", "を用いて有界流れを解析する場合](./util.qmd#psiclone.util.mcdomain-を用いて有界流れを解析する場合)を参照してください).この例では,`geotype`\n", "属性だけ `tri.convex_hull` に基づいて設定しておきましょう." ], "id": "98333c60-be64-4123-9e32-a00bcc94f467" }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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8DBgwABkZGbh48WKxhacqSnULDk5qCghf/KnrAABCwElMkIztGggVHJR6TUBA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} } ], "source": [ "mesh = Geometry()\n", "\n", "\n", "def f(x, y):\n", " return x**2 + numpy.cos(8 * y)\n", "\n", "\n", "boundary_indices = set(numpy.unique(tri.convex_hull))\n", "\n", "for i, (x, y) in enumerate(tri.points):\n", " geotype = Geotype.EXTERIOR if i in boundary_indices else Geotype.INTERIOR\n", " mesh.add_node(id=i, x=x, y=y, level=f(x, y), geotype=geotype)\n", "\n", "has_edge = numpy.zeros((num_points, num_points), dtype=\"bool\")\n", "for simplex in tri.simplices:\n", " for a, b in zip(simplex, numpy.roll(simplex, 1), strict=False):\n", " if has_edge[a, b]:\n", " continue\n", " mesh.add_edge(mesh.nodes[a], mesh.nodes[b])\n", " has_edge[a, b] = has_edge[b, a] = True\n", "\n", "draw_geometry(mesh, edge_color=\"k\")" ], "id": "10841d99" }, { "cell_type": "markdown", "metadata": {}, "source": [ "これで入力空間データの設定が完了しました.あとは `Psi2tree`\n", "でこの入力データを処理します." ], "id": "17bcc522-7ad1-42c3-939b-842d4f1c1dee" }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": [ "'a0(L~)'" ] } } ], "source": [ "from psiclone.cot import to_str\n", "from psiclone.psi2tree import Psi2tree\n", "\n", "psi2tree = Psi2tree(geom, threshold=0.0)\n", "psi2tree.compute()\n", "psi2tree.get_tree().convert(to_str)" ], "id": "4fb9228a" }, { "cell_type": "markdown", "metadata": {}, "source": [ "無事,COT 表現に変換できました." ], "id": "c7debc92-46d3-43bf-aa17-7ff59d467499" } ], "nbformat": 4, "nbformat_minor": 5, "metadata": { "kernelspec": { "name": "python3", "display_name": "Python 3 (ipykernel)", "language": "python", "path": "/opt/build/repo/.venv/share/jupyter/kernels/python3" }, "language_info": { "name": "python", "codemirror_mode": { "name": "ipython", "version": "3" }, "file_extension": ".py", "mimetype": "text/x-python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } } }