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関数グラフをプロットする FuncPlot
{
"cells": [
{
"metadata": {
"toc": true
},
"cell_type": "markdown",
"source": "<h1>Table of Contents<span class=\"tocSkip\"></span></h1>\n<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#Plots.plot-による関数のプロット\" data-toc-modified-id=\"Plots.plot-による関数のプロット-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>Plots.plot による関数のプロット</a></span><ul class=\"toc-item\"><li><span><a href=\"#一変数関数\" data-toc-modified-id=\"一変数関数-1.1\"><span class=\"toc-item-num\">1.1&nbsp;&nbsp;</span>一変数関数</a></span><ul class=\"toc-item\"><li><span><a href=\"#きれいに書ける例\" data-toc-modified-id=\"きれいに書ける例-1.1.1\"><span class=\"toc-item-num\">1.1.1&nbsp;&nbsp;</span>きれいに書ける例</a></span></li><li><span><a href=\"#カクカクしてしまう例\" data-toc-modified-id=\"カクカクしてしまう例-1.1.2\"><span class=\"toc-item-num\">1.1.2&nbsp;&nbsp;</span>カクカクしてしまう例</a></span></li></ul></li><li><span><a href=\"#パラメトリックな二次元曲線\" data-toc-modified-id=\"パラメトリックな二次元曲線-1.2\"><span class=\"toc-item-num\">1.2&nbsp;&nbsp;</span>パラメトリックな二次元曲線</a></span><ul class=\"toc-item\"><li><span><a href=\"#うまく行く例\" data-toc-modified-id=\"うまく行く例-1.2.1\"><span class=\"toc-item-num\">1.2.1&nbsp;&nbsp;</span>うまく行く例</a></span></li><li><span><a href=\"#カクカクしてしまう例\" data-toc-modified-id=\"カクカクしてしまう例-1.2.2\"><span class=\"toc-item-num\">1.2.2&nbsp;&nbsp;</span>カクカクしてしまう例</a></span></li></ul></li></ul></li><li><span><a href=\"#Plots.plot-のソースファイルでカクカクの原因を確認\" data-toc-modified-id=\"Plots.plot-のソースファイルでカクカクの原因を確認-2\"><span class=\"toc-item-num\">2&nbsp;&nbsp;</span>Plots.plot のソースファイルでカクカクの原因を確認</a></span><ul class=\"toc-item\"><li><span><a href=\"#一次元関数の場合\" data-toc-modified-id=\"一次元関数の場合-2.1\"><span class=\"toc-item-num\">2.1&nbsp;&nbsp;</span>一次元関数の場合</a></span></li><li><span><a href=\"#パラメトリックな2次元曲線について\" data-toc-modified-id=\"パラメトリックな2次元曲線について-2.2\"><span class=\"toc-item-num\">2.2&nbsp;&nbsp;</span>パラメトリックな2次元曲線について</a></span></li></ul></li><li><span><a href=\"#より柔軟な関数プロット手順を考える\" data-toc-modified-id=\"より柔軟な関数プロット手順を考える-3\"><span class=\"toc-item-num\">3&nbsp;&nbsp;</span>より柔軟な関数プロット手順を考える</a></span><ul class=\"toc-item\"><li><span><a href=\"#ソースコード\" data-toc-modified-id=\"ソースコード-3.1\"><span class=\"toc-item-num\">3.1&nbsp;&nbsp;</span>ソースコード</a></span></li><li><span><a href=\"#一変数関数\" data-toc-modified-id=\"一変数関数-3.2\"><span class=\"toc-item-num\">3.2&nbsp;&nbsp;</span>一変数関数</a></span></li><li><span><a href=\"#2Dパラメトリック曲線\" data-toc-modified-id=\"2Dパラメトリック曲線-3.3\"><span class=\"toc-item-num\">3.3&nbsp;&nbsp;</span>2Dパラメトリック曲線</a></span></li><li><span><a href=\"#3Dパラメトリック曲線\" data-toc-modified-id=\"3Dパラメトリック曲線-3.4\"><span class=\"toc-item-num\">3.4&nbsp;&nbsp;</span>3Dパラメトリック曲線</a></span></li></ul></li><li><span><a href=\"#気になる点\" data-toc-modified-id=\"気になる点-4\"><span class=\"toc-item-num\">4&nbsp;&nbsp;</span>気になる点</a></span></li></ul></div>"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Plots.plot による関数のプロット"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Plots.plot に関数と範囲を渡すとグラフが書けるのだけれど、結果がカクカクしてしまうことがある。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "versioninfo()",
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": "Julia Version 0.6.2\nCommit d386e40 (2017-12-13 18:08 UTC)\nPlatform Info:\n OS: Linux (x86_64-linux-gnu)\n CPU: Intel(R) Core(TM) i7-6600U CPU @ 2.60GHz\n WORD_SIZE: 64\n BLAS: libopenblas (USE64BITINT DYNAMIC_ARCH NO_AFFINITY Haswell)\n LAPACK: libopenblas64_\n LIBM: libopenlibm\n LLVM: libLLVM-3.9.1 (ORCJIT, skylake)\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "Pkg.status(\"Plots\")",
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": " - Plots 0.16.0+ master\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using Plots\npyplot()",
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 3,
"data": {
"text/plain": "Plots.PyPlotBackend()"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 一変数関数\n\n### きれいに書ける例"
},
{
"metadata": {
"trusted": true,
"scrolled": false
},
"cell_type": "code",
"source": "plot(x->abs(sin(x)), 0, 2pi, marker=:circle, legend=:none)",
"execution_count": 4,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 4,
"data": {
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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "曲率の大きなところにサンプル点を多数配置して、カクカクしづらくなるよう工夫がされている"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### カクカクしてしまう例"
},
{
"metadata": {
"trusted": true,
"scrolled": false
},
"cell_type": "code",
"source": "plot(x->abs(sin(x)) + 10, 0, 4pi, marker=:circle, legend=:none)",
"execution_count": 5,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 5,
"data": {
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "同じ形の関数でも、縦軸がゼロから離れているとカクカクしてしまう。"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## パラメトリックな二次元曲線\n\n### うまく行く例"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot(t->cos(t), t->sin(t), 0, 2pi, aspectratio=:equal, marker=:circle, legend=:none)",
"execution_count": 6,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 6,
"data": {
"image/png": 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STtA5V2SugKQWck4WmSzECQUWkgJzroDURiYLiYYCC7bHnCsAEpksJBYKLNgemSsA/ji7EPFGgQXbI3MFwB9nFyLeKLBgW57c1aXOTumVzdLvf+P+BTJXQMojk4V4o8CCLfXOXRnHZim3VNrxXWnnPWSuAEgik4X4osCCLQXkrla9KhV8Xdbv/onMFYAAoTJZIpOFKKHAgi0FO19QMxcrffhwMlcAAvhnsnQ5k3WRTBaihAILtsGsKwCD5Z/JGtn8jpRNJgvRQ4EFW/CfddXDrCsAAxSQyfoymSxEDwUWbIFZVwAiKWgmq/63utTVRR4LEUGBBVtg1hWASArIZG1bLDW+LvPnt5PHQkRQYMEWpkwrkBrqyFwBiIjemSzL+aDU/J70w3+Wlv0DeSxEBAUWEpon2N7Q4JIaXydzBSBiPJms9BEjpIoHpTm3uH+BPBYigAILCcsTbD/cOVbmlo1SwXzp7GENf+khMlcAIiZYHosOOYYqLd43AITiE2y3LKlspazqChWmt+nQuwfjfXsAksT6dWtVWVnp7owXLZSO7JE5ulfnJ+YpY9Ro5U8r0Pp1a+VwOOJ9q7AROlhIWMGGidK2BxBp/jOyvvDJKUlS86jJDCHFoFFgIaH4DBM1DBMFEBu9Z2SNH5MlFZbLrKxlCCkGjQILCSNgmGgew0QBxN6xpkapiO45hoYCCwmDYaIAEgGhd0QCBRYSBsNEASSCYAdDG9deuY7UM+UdYaPAQsLIZ5gogATQO/Q+fPfDUtMBKbtEXd/aROAdYbOM8fzfDMmso6NDWVlZam9vV2ZmZp/Xtra2asyYMTG6M3f26pFHH5PL5VJ3d5d0fZH05TtkNeyRce1N2m3BWK9zKmKNYyOZ17lkdqnqu8ZeGRdjjKzqChXHeFxMMq9xsqKDhbjqHWzv/hbDRAEklqDRBQLvCAMFFuIqaLC9sEyFRTPJXAGIu2CBd9X/Vpe6ushjoU8UWIgrvjsEkMgCAu/bFkuNr8v8+e3ksdAnCizE1VSC7QASWO/Au+V8UGp+T/rhP0vL/oEBpOgTBRbiwjOxvcHlkhpfZ5gogITlmfKePmKEVPGgNOcW9y/QcUcfKLAQc72D7T0E2wHYBANIMRBp8b4BpB6fYLtlSWUrZVVXqDDGjz0DwECsX7dWlZWV7k570ULpyGsyR/fJNWKESmaXav26tXI4HPG+TSQIOlgJ6v3339eNN96o/Px8zZ07Vw0NDQHX7N+/XxkZGZo1a5b3x4ULF+JwtwNDsB2AHTGAFANBgZWgli9frvvuu0/Hjh3TmjVrtGzZsqDXTZs2TYcOHfL+yMjIiO2NDsKUfILtAOzJk8eaPr1Q1vT50rp3pPJVBN4RgAIrAX300Uc6ePCg7rjjDklSZWWlWlpadPz48Tjf2dB4gu0ugu0AbI5OPPpDgZWAWlpaNH78eKWluSNylmUpJydHzc3NAdeeOHFCc+bM0dy5c/X000/3+7k7Ojp8fly6dCni9x+MT7D9FoLtAOyNwDv6Q8jdxubMmaOzZ88qKytLZ8+e1ZIlS3TttdfqO9/5TsjfM2HCBJ+Pq6qqtGbNGp/X2traIn6vD2/YKKuozC/YvkT5aX/S63v3SHKftZVKorHO8MUax0YqrvPfrlqhZcuWyapeIlO0yBt4bxgxQjOKZ2n1T36sm2++OWJ/3kDWmDMLEwMFVgKaMGGCzp07p+7ubqWlpckYo+bmZuXk5Phc1/vQ5uzsbN1+++168803+yywWlpafH5fenq60tPTA66L9H+gJ46/L7P0L/3a6Yt0onZDSv9lkMpfe6ywxrGRaut811136eqrr9bGTZvl2v2wurq6pewSdX/5L+Vy1WnZsmWqqamJ6FOFqbbGdscWYQIaN26c5syZo127dkmSampqlJ2drSlTpvhcd+7cOfX09EiSPv74Y9XW1mr27Nl9fu7MzEyfH8GKq0jy5K4udXZKr2yWfv8b9y/QTgdgcz6B9wIC7/BFgZWgduzYoR07dig/P1+PP/64du7cKUn6wQ9+oN27d0tyF14zZ85USUmJ5s2bp/Lyct19993xvG0fvXNXxrFZyi2VdnxX2nkPwXYASeNYU6NMEYF3+LKM8ST0kMw6OjqUlZWl9vZ2ny3CYFpbWyPSii6ZXeourjy5K2Okbd+QdfxNFc8s1vp1a1M62B6pdUZorHFspPo6B/u7zqquUPHINh36fWSGJ6f6GtsRHSxETbDHmDVzsdKHD9ehdw+mdHEFIHmsX7dWpqFOVnWFVLdd2vYNGddenW9tY/BoCqPAQtTwGDOAVOCZ8J5z8bT0wt9Jze9KN96p5tGTme6ewniKEFHhdDrV3t4uc/qQtOqL0qybZbWfc+eu+MsGQJJxOBzuc1YLF3i3Cs3lrcKNmzZzRmEKooOFiPOE25tH5Um3PS5NLJXe+pVyLpxkoCiApMV0d/RGgYWIe+TRx2QVlbu/iytfJa16VVZhma655vMUVwCSFrEI9EaBhYjjuzgAqSgg7L59iYxrr1xH6lUyu5QsVoqhwELE5U8rkBr4Lg5AavGE3YvT2zR898NS0wEpu0Rd39qk+q6xBN5TDHOwUkQs52D9z3+u0R3fvU0qLJOKFspq2CPj2kv+yg9zbaKPNY4N1jlQyNlY6W069O7AZ2OxxvZDBwsR4zkWZ9ldd0pfyNMNn5zUyNoNKk5vo7gCkFKISoACCxHR+1ic7ps3SF+YrD+cOan/uetXDBUFkHIIvIMCCxER8OTgSg47BZC6mO4OCixEBO1wALiC6e6gwEJE0A4HAF8Oh0NZmZmyChdI2z6Ulv2DzAq6+6mCo3IwZByLAwDBHWtqlFm6IbC7X7shnreFGKCDhSHhWBwACI3ufuqiwMKQcCwOAIRG2D11UWBhSAi3A0BohN1TFwUWhiR/WoEsjsUBgJAIu6cmQu4YNMLtABAewu6phw4WBoVwOwCEj7B76qGDhUHxCbdbllS2UlZ1ha5Jb6O4AgA/69etVWVlpazqCpmihdKRPTJH6fYnMzpYGBTC7QAQPk/YvTi9TWkvPSydelvDho/Qho2bCLonKQosDArhdgAYGIfDoYcfelDdnRelvHn67JZNqu8ay9OESYotQgwY4XYAGBz/eIW5HK/YuGmzHA5HvG8PEUQHCwNCuB0ABo94ReqgwMKAMLkdAAaPpwlTBwUWBoTvvgBg8Dg6J3VQYGFA+O4LAAaPo3NSBwUWBsTz3Ze2u7/7sqor3OH2h9bG+9YAwBY4Oic1UGAhbE6n053BGj5S1qm3Nfylh1Sc3ka4HQAGiLhF8qPAQlg8Tw/Wd42VuWWjTN48dXV26uGHHqS4AoABIm6R/CiwEJaApwdX0s4GgMEi7J78KLAQFtrZABA5hN2THwUWwkI7GwAii7B7cqPAQlgWlS+QOfq69KPR0prJ0qNzeXoQAIaI3YHkRYGFfjmdTm3dulUqmC9Vbpauy5fOHlZVVRUBdwAYAnYHkhcFFvrlCbhr5Ss+x+O8Vrcv3rcGALbmH3ZntmDyoMBCv2hhA0B0+ITdax6UOXZAuRPzZDwdLdgWBRb6lT+tQFYDLWwAiJYzJ4+7Yxi3PsaThEnCMpTJKaGjo0NZWVlqb29XZmZmn9e2trZqzJgx3o89Q0Y1vUyasVBWwx4Z114muA+R/zoj8ljj2GCdh6Zkdql7iPOKWvdOgTGyqitUnN6mQ+8elMQa2xEdLPTJczyOho/UsNMcjwMAkUYMIzlRYCGk3sfj6JaN6pnE8TgAEGk8SZicKLAQkv/xOIbjcQAg4jg2JzlRYCEk2tYAEH0cm5OcKLAQEm1rAIgNjs1JPhRYCInjcQAgdtg1SC4UWAiK43EAILbYNUguzMFKEQOdgzV/QXm/c1kwNMy1iT7WODZY58jwPLltFZbJFPnOHPza177GGtsMHSwERasaAGLLE3Yf98kpqeZBiWNzbI0CC0HRqgaA+PjwzAmpYL5Mr2NzXn755XjfFgaILcIUMdAtwv3793M8TpSxrRJ9rHFssM6RE+rYnMK0/6cj//FevG8PA0AHCyGNy5ksNe2XnGuVc+EkxRUARFmoeMbx94/F98YwYBRYCPDyyy+rsrJSH30uT6rcLKvgJp05dZIcAABEWah4xtSp+fG9MQwYBRYCbP35NllF5dLKy0fkMOwOAGLCc2yOti+5fGzOYhnXXs3/2l/E+9YwQBRYCHD8+Ps8QQgAceBwOLR69Wqp6YD7ScKPjksTSvTUU09xZI7NUGAhwJQpU3mCEADi5LW6fbKmz5f+/hPp8RPSQ+/IKlzALoLNpMX7BpB45n/tL9Tw9N+7j8jJGi+N/rzM2cNaz3dPABB1x5oaZZZu8NtFWKSm2g3xvC0MEB0s+HA6nfrFL37BETkAECfBg+6vsYtgM8zBShHhzsFyz2AZI7PiFY7IiTJmB0UfaxwbrHNkeY7MUWGZVMQcQruigwUf7hksCwm4A0CceI7MufbjK0fmTMiZyKgcm6HAgg93a3oPAXcAiLP/13LlyJyzV09RZWUlTxLaCFuEKSLcLUJva5ojcqKObZXoY41jg3WOvFBH5hDXsA86WAiQnTuJI3IAII5CHZlDXMM+KLDg5ele/WH0ZPcROdM4IgcA4iHUkTnENeyDLcIUEc4WIS3p2GJbJfpY49hgnSMvMK7xmoxrHzsKNkIHC160pAEgMXiOzBl2+m3phZ9qxOm3mUdoMxRY8KIlDQCJwel0auvWrfps0jzptv+uzknztGXLFp4itBG2CFNEOFuE3pb0qGukzgvSiAzp0/O0pKOEbZXoY41jg3WOPCIb9kcHC4FyS6VbH3X/LBFyB4AYI7JhfxRY8Hrk0cdkFZVLq16VyldJq16VVVjGCe4AEGNENuyPAgtefMcEAIlh/bq1Mg11srYvkeq2S9sWy7j2alHZgnjfGsJEgQUvvmMCgMTgeYrQNB1wn0f40XFpQglBdxsh5J4iBhRyn75AmrGIY3KijGBw9LHGscE6RwdBd3ujgwUvh8OhBx54QDr1jvTCT5V+hrkrABAvxDbsjQILXk6nUz/72c+kPPfclUsTmbsCAPFCbMPe2CJMERyVk3jYVok+1jg2WOfoCDwuh9iGndDBghftaABIHJ6gu3XqbWIbNkSBBS/a0QCQODzH5RhiG7bEFmGKGNhThLSjY4FtlehjjWODdY4OYhv2RgcLPsblTJaa9styrlXOhZMUVwAQJ8Q27I0CC5KudK/+83N5UuVmqeAmnTl1knMIASBOiG3YGwVWgnr//fd14403Kj8/X3PnzlVDQ0PQ65577jlNnTpVkydP1r333quurq5B/XmecwjNylqpfJXMilrOIQSAOPIcl6PqCqluu6zqChnXXq1/aG28bw1hoMBKUMuXL9d9992nY8eOac2aNVq2bFnANadOndK6dev05ptv6vjx4/rwww/17LPPDurPoxUNAInF4XDoW9/6ltT0r9ILfycd+1fdcsstxDZsggIrAX300Uc6ePCg7rjjDklSZWWlWlpadPz4cZ/rXnjhBX3zm9/UddddJ8uy9MMf/lC//vWvB/Vn0ooGgMRSVVWll156Scr/C+m2x2Wm/oVefPFFVVVVxfvWEIa0eN8AArW0tGj8+PFKS3P/67EsSzk5OWpubtaUKVO81zU3Nys3N9f78cSJE9Xc3Nzn5+7o6PD5OD09Xenp6Vq/bq37CcIff1HqvCCNyJD59LzW8zgwAMTFU08/4z4bdtWr7t2FspXStm/oqaef0ZYtW+J9e+gHBVaKmTBhgs/HVVVVWrNmjT7++GP3C7ml0oxF0pHXpKP71NHRodbW1jjcafJra2uL9y0kPdY4Nljn6Lh44VP338e9ohuauVgXmw70+fcyIzMSAwVWApowYYLOnTun7u5upaWlyRij5uZm5eTk+FyXk5OjEydOeD8+ffp0wDX+WlpafOZgeTpYT27/H+6Qu2feStlKWdUV2lb9lO66667IfoHw4i/C6GONY4N1jryRGaN08chr7s7V5TlYqv+tRo4axXrbABmsBDRu3DjNmTNHu3btkiTV1NQoOzvbZ3tQcmezdu/erQ8++EDGGD3zzDP63ve+1+fnzszM9PmRnp4uiZA7ACSa+//6h9LRfdK2xVLddveF8MC1AAAgAElEQVTPja9rxX/7UbxvDWGgwEpQO3bs0I4dO5Sfn6/HH39cO3fulCT94Ac/0O7duyVJeXl5euSRR/SVr3xFU6ZM0Re+8AUtX758UH8eIXcASCzz5s1z/0Pze9Jv1rl/lvSlL30pjneFcHFUToro76gcz6BRq7BMpohjcmKB40WijzWODdY5Ojgqx97oYEGSe95KTU2Nxv3XScm5Vmrar9y8yUxyB4A4IbphbxRY8PFh80lp2k0yjs1qzshTZWUlJ7cDQBwQ3bA3tghTRH9bhBLt6FhjWyX6WOPYYJ2jwxPd0PQyaQbRDbuhgwUv2tEAkDgcDodWr14t69Tb0gs/VfqZt1VVVUVxZRMUWPCiHQ0AicPpdGrr1q0yefOk2/67Lk2cpy1bthDbsAm2CFNEOFuEtKNji22V6GONY4N1jg5iG/ZGBwtenna0aEcDQNwR27A3Cix4edrRyvsS7WgAiDNiG/ZGgQWvRx59TFZRubTyFal8lcyKWlmFZdq4aXO8bw0AUs6i8gUyDXXeo3Ks7UtkXHu1/qG18b41hIECC160owEgMXh3FCYUSx8dl2oelGk6QGzDRiiw4EU7GgASg3dH4aHfSY+fkP7+E1kFN+m1un3xvjWEKS3eN4DEsX7dWvdThD/+otR5QRqRIfPpea0ngwUAMXWsqVFm6YbAHYXaDfG8LQwAHSwEyi2Vbn3U/bPEeYQAEGPsKNgfc7BSBEflJB5mB0UfaxwbrHPkeecSFpZJRQtlNbwm49rHXEIboYMFL0LuAJAYPHMJrzrpnks44jRzCe2GAgtetKQBIDF4niLsuXxMTuck5hLaDVuEKWIgR+VYhQtkihZxVE6Usa0SfaxxbLDOkUdkw/7oYMHL4XCopqZG2Z+ckJxrZRr3KzdvMiF3AIgxIhv2R4GFAC1nTkvTbpIqN6s5I0+VlZW0pQEghohs2B9bhCkinC1CydOWHiOz4hXa0lHGtkr0scaxwTpHnvcpwull0gyeIrQjOljw4W5LL6QtDQBxds31k6RjB2Q5H1T2pycprmyGAgs+3G3pPbSlASBOPN2r89dMkRyPSQXz1XL6FHlYm2GLMEWEu0XobUtnF0uftEkd5yRjVPXAT/TEE0/E8I6TH9sq0ccaxwbrHFnBnyBcouL080Q1bIQOFnw4HA79zd/8jXT2sHRdvuTYLKtgPvNXACBGgj9BuIiohs1QYCHAGwfedJ/ivupVqXyVzMpXZBWWaeOmzfG+NQBIesGfIHyNqIbNUGAhwPHj7zN/BQDiZFH5ApmGOmnbYqluu6ztS2Rc+7T+obXxvjUMAAUWAkyZMpX5KwAQB54jcpRdLH10XHI+KNN0QPfffz9PENpMWrxvAIln9U9+rGXLlsmqrpApWug9Mmc9GSwAiKpHHn1MVlF5wBE5rx94M963hgGig4UAN998s2pqanT9JyfdR+Y0cWQOAMRCqCNyjr9/LL43hgGjwEJIfzhz0n1kjoMjcwAgFkIdkTN1an58bwwDxhysFBHuHCzJPdNm/oJyTnKPMmYHRR9rHBusc+QEHpHjjmg8//zzuvPOO+N9exgAOlgIipPcASA+rrnhyhE5ORdPy+l0aunSpfG+LQwQBRaC4iR3AIgt7xE5WVeOyDlz8jj5V5tiizBFDHSLcP/+/aqsrJRVWObzJCGHjUYO2yrRxxrHBuscGcGPyHFHM17fu4c1thk6WAjK4XCopqZGORcuP0nYyJOEABBNRDOSCwUW+nTm1OUnCSt5khAAoil/WoGsBqIZyYJBowjJf+CdKVspq7pCGzdtlsPhiPftAUDScDqdaj/fJnP6XWnbN6SZixnybHN0sBAS7WoAiD5PuL159BTpy38lNb8rvfB33icIyb3aEx0shJQ/rUD1rjqZspVXApe0qwEgokIdj3NNehvFlY3RwUJI69etlWmok1VdIe28R1r1RZmjr+v8+fPksAAgQtgtSE4UWAjJ50nCt34lTSyVbnucsDsARBBzB5MTc7BSxEDnYPWet9LXbBaOzRk8ZgdFH2scG6zz0IQ6Hqd3/oo1th86WOgX7WsAiK7rc93H46jX8Tjkr+yNAgv9on0NANHh6V79cbT7eByL43GSBgUW+uUJu+vRudKaydJfj5ZpfEOLyhbE+9YAwNY8TxBqZa1UvkpmRa2swjJt3LQ53reGIaLAQr8cDodWr14tnT0sXZcvOTbLKpivLVu2EHQHgCEggpG8KLAQltfq9rm/y1r1qvu7rJWv8F0WAAwRx+MkLwaNIizHmhpllm4I/C6rdkM8bwsAbIvjcZIbHSyEhaA7AEQOx+MkPzpYCMv6dWtVWVkpq7pCpmihdGSPzFG+ywKAweB4nORHBwth8Ux1L05v01UvPiSdelvD00dqw8ZNBN0BYIAItyc/CiyEzeFw6OGHHlRPV6eUN09d39yo+q6xHJsDAANE7CL5sUWIAfFva5uylbKqK7Rx02Y5HI543x4AJDzC7amBDhYGhLY2AAwe4fbUQQcLA5I/rUD1rjqZspVXgpm0tQEgLITbUwcdLAyI59gcq7pC2nmPtOqLMkdf1/nz58lhAUA/2AVIHRRYGBDP04Q5F05Kb/1Kmlgq3fa4mjPyCLsDQD8It6cOy3Bkd0ro6OhQVlaW2tvblZmZ2ee1ra2tGjNmTJ/XlMwuVX3X2IA2d3F6mw69ezCSt560wllnDA1rHBusc/g8GSxNL5NmLPSG2/vLX7HG9kMHC4NCmxsABsbpdOqRRx/TVcNHuGcJvvSwitPbCLcnKQosDAptbgAIn6dzVd81Vj23bHLPEuy8qIcfepDiKklRYGFQCLsDQPh8nh4sXyWtrJVVWKaNmzbH+9YQJRRYGBTC7gAQPmIVqYcCC4PmcDiUlXWNrKJyadWrUvkqmRV8VwYA/ohVpB4GjWJIjjU1yizdEPhdWe2GeN4WACQMjsZJTXSwMCR8VwYAoXE0Tuqig4UhWb9urSorK2VVV8gULZSO7JE5yndlACBxNE4qo4OFIfGE3YvT2zTsxYekU28rbcRIbdi4iaA7gJRHuD11UWBhyBwOhx5+6EF91tUp5c1T97c2qr5rLE8TAkh5xChSF1uEiAj/NrgpWymrukIbN22Ww+GI9+0BQMwRbk9tdLAQEbTBAeAKwu2gg4WIyJ9WoHpXnUzZyitBTtrgAFIU4XbQwUJE+BydU7dd2jhXpvENuRoaVDK7lCwWgJRCVx8UWIiI3k8TDn/pIekPh6WC+er6JoF3AKknf1qB1EC4PZVZxnj+7SOZdXR0KCsrS+3t7crMzOzz2tbWVo0ZM2bQf1bJ7FLVd40NaI0Xp7fp0LsHB/15k81Q1xn9Y41jg3W+wul06pFHH5PLdUTdnZ3S9AXSjEXecPtg81essf3QwULE0RoHkIo8wfb6rrHq/tYmKbtYajqg4bsfVnF6G+H2FEPIHRFH4B1AKgoItl8eV1NI9z4l0cFCxPkE3nfeI636oszR13X+/HlyWACSFt179EaBhYjzBN5zLpyU3vqVNLFUuu1xNWfkEXYHkLSY2o7eKLAQFQ6HQ1lZ18gqKpdWvSqVr5JZUSursEwbN22O9+0BQER5p7Y31Lmnttdtl1Vd4Z7a/tDaeN8e4oACC1FDuxxAKmBqO4KhwEpA77//vm688Ubl5+dr7ty5amhoCHrd/v37lZGRoVmzZnl/XLhwIcZ3GxrtcgCpwCfcfvdz0rYPZU3/uq7JyqK4SmEUWAlo+fLluu+++3Ts2DGtWbNGy5YtC3nttGnTdOjQIe+PjIyM2N1oP5juDiAV0K1HMBRYCeajjz7SwYMHdccdd0iSKisr1dLSouPHj8f5zgaO6e4AUgFT2xEMBVaCaWlp0fjx45WW5h5RZlmWcnJy1NzcHPT6EydOaM6cOZo7d66efvrpfj9/R0eHz49Lly5F9P79ORwOHXr3oKYXznAH3le+QuAdQFJwOp0qmV2qhoYjkqtO1vYlhNvhxaBRG5szZ47Onj2rrKwsnT17VkuWLNG1116r73znOyF/z4QJE3w+rqqq0po1a3xea2tri/i9NjU1yizdENBCb6zdoNbW1oj/eXYQjXWGL9Y4NlJxnV9++WUtW7ZMVlGZzC2bpLd2yTQd0PAT/6b8gumqev55fe1rX4vY328DWWOO1EkMFFgJ4Je//KWefPJJSdLtt9+uc+fOqbu7W2lpaTLGqLm5WTk5OQG/r/eZgtnZ2br99tv15ptv9llgtbS0+Py+9PR0paenB1wX6f9Ap/lPd//9b6RXNquzs1PzF5Rr/bq1cjgcEf0z7YC/CKOPNY6NVFvnJ7f/j5hPbU+1NbY7tggTwJ133ukNqa9Zs0Zz5szRrl27JEk1NTXKzs7WlClTAn7fuXPn1NPTI0n6+OOPVVtbq9mzZ/f5Z2VmZvr8CFZcRUPAdPcd35VyS2Ucm8ljAbAdgu3oDwVWAtqxY4d27Nih/Px8Pf7449q5c6f3137wgx9o9+7dktzF18yZM1VSUqJ58+apvLxcd999d7xuu0+9A+/WO//kPmGeAaQAbIpgO/pjGeN5dyCZdXR0KCsrS+3t7T5bhMG0trZGtRWdMWq0Li7dIJWvuvJi3XaNrN2gC59+ErU/N9FEe53BGsdKKq2z0+nUI48+poaGI/qsq9P9zeKMRbIa9si49kZtsGgqrXGyoIOFmGMAKQA78kxsr+8aq89u2SRlF0tNBzR898MqTm9jajt8EHJHzK1ft1aVlZXuR5mLFkr/vkvmXINcw4erZHZpygbeASQ2n4ntMQq2w77oYCHmeuex0hhACsAmCLZjICiwEBeeAaSFhTNkFTKAFEDim0KwHQNAgYW4OtbUKFPEd4QAEpdnYrvrCBPbET4KLMQVgXcAiax3sL3nVnew3RBsRxgIuSOuCLwDSGQE2zFYdLAQV70D78MJvANIMATbMVgUWIg7T+B9euEMWUUE3gHEnyd3dbGzSzryGjEGDBgFFhIG3ykCSAS9c1f68+9JR/dJ2xYTbMeAUGAhYQQLvOutXdJVw5QxarRKZpeyXQgg6nxyV3c/Jy3/X1Lze7KcDxJsR9gosJAw1q9bK9NQJ6u6QqrbLm2cK509rEu5X9LFpRvIZAGIiYBueumtUsWDSh8xQofePUhxhbBQYCFh9A68j6zdoPS2U1JhmQyZLAAxdP1kBopi6CiwkFA8gfcLn34iy3wmFS0kkwUg6jyh9pGjRuv0h23ugaKXu+nkrjAYFFhIWAwhBRALvUPtl5ZuUM8XpkiSci6e1sjaDeSuMCgMGkXCYggpgFgINUz0mvQ2nT7xfrxvDzZFBwsJq3cmK40hpACihBExiAYKLCQ0TyarkCGkACKMYaKIJgos2ALfYQKIJIaJItoosGALDCEFEEkME0W0UWDBFhhCCiCSGCaKaKPAgi0EDCE9zxBSAAPjyVxljBqtbl0lNewhd4WoocCCbfgMIe1hCCmA8PXOXF1cukHdY/Mk115Z25eQu0JUUGDBlgIyWb//jfTKZl3q7CSPBSCAT+aqfJW07ndSdrHSm99hmCiiggILtuSTydp5j7Tju1JuqYxjM3ksAAGCPYmsL98h9XymC59+Qu4KEUeBBVvqncmy3vknafoCadWr5LEABDVpKgc4I7YosGBbnkxW+ojh0oxF5LEA+Oh9gPP7H3CAM2KLAgu2x6HQAPz5H+DcfS0HOCO2OOwZthdwKHTDHhnXXn2QM1kZo0Yrf1oBB0MDKYYDnBFvdLBge/4zsnIvnJQkffi5PIaQAimqieO1EGcUWEgKvWdkZWVdc/lg6FpC70AK6Z256jIMEkV8UWAh6XAwNJB6/DNXPdcySBTxRYGFpBP0YOh/36Uei4OhgWTFIFEkGgosJJ2Ag6EfnSv94bA6J3IwNJBMep8tWF9/mEGiSCgUWEg6/qH3kW2nZBWWSRwMDSQN/7MFTfrnpCOvkblCwmBMA5KSw+HwjmXIGDXaPb6hdyYra7wOv3OAMQ6ATQWMYRiT6z4ya9s3pJmLZV0e17KeTjXihA4Wkl7Qg6Hf+pVM/lfZMgRsKuBhltJbpS//lazjb5K5QkKgwELSC8hk/Wo5ZxcCNtQ7c9VjDQscw9B+TsXFxWSukBAosJD0/DNZ1qX/4uxCwGb8M1edYyYxhgEJjQILKaH3INKZM4sDxzg07NG4667zfnfMKAcgsTCGAXZDgYWU479laFVXSK69aj510vvdMbksILEEGyDMGAYkMgospBz/LcPi9DZdlztZKrzy3TG5LCD+fI6+EUffwF4Y04CU1HuMg+Qe5aClywNzWbUb4nODQIrzZK6sonKZpRukt3Z5M1dmxiLGMCDh0cECFOJ4nbd2SVdxvA4QD2SuYHcUWIBCHK9z9rAu5nK8DhALvUcwlMwuVYPLReYKtkaBBSj48TrieB0gJvxHMBzuHKvPurvIXMHWKLCAy3qPclDPZ1Kw43UOH2bLEIiwgO3AlbXS9UXuzFWvp32ZcwU7ocACguB4HSB2Qo1gGD5ihM/TvmSuYCcUWEAQHK8DRFfvzFV3iBEMhTNmervKZK5gNxRYQBDhHq/jaqhn+jswQP6Zq+6xeRx7g6RDgQWE0O/xOv++S12dnUx/BwaIEQxIBRRYQBiCHq9zrkEqLGP6O9CP3tuBxbNLdYQRDEgBFFhAGIIdrzN8+PDAJw2LFqqp8Wh8bxZIIP7bgfWdY9XDCAakAAosIEy9twwPvXtQ06cXBm4bHtmjseOuI5cFXMYIBqQqCixgkIJuGx7dqz+cOanDneSykJr8J7K7QmwHMoIByY4CCxikYNuGEyZNlgrL3d+lk8tCigk2kb07xHYgIxiQ7CiwgCHw3zb8zw/OSUXlAbmsBsY5IAWwHQhcQYEFRFDABPjL4xy6g4xzePnll+N7s8AQebYDr8+eoJLZpTrKdiDgZRnj+T8BkllHR4eysrLU3t6uzMzMPq9tbW3VmDFjYnRnycWzRWIVlskULZTVsEem8Q2pYL774GjLchddj85VeutJWaZH+dMKtH7dWjkcjnjfftLhvRw93vd6UblMYbmshjqZxtcD3utWdYWKR7bp0O8PxvuWbY33sv3QwQIiKKxxDu+9KJ09rEu5XyIID9vy3w40bAcCPiiwgAjrd5zDq49zriFsqfcTgvX1h9kOBPpAgQVEWcDB0X+o51xD2I7/E4Im/XPSkdd4OhAIgQILiDL/bcORIzNk+T22zrmGSDT+86x+/ECVrMJeTwj+1Q7p6D5p2zfYDgSCIOSeIgi5J44rQfgFMkWLQgbhreoKFae36dC7hIMHi/fy4AQNsB/dJ932uLu48th5j6zf/ZNGDB+ugoLpWr9uLR2rKOG9bD90sIAY83S0CtP+1O+5hszPQjwEDbBnZAZuCbafU3Fxsf54toXtQMAPBRYQBw6HQ//6xr6+zzW8PD+LY3cQTf5bgf/yQo2ONjYGBthLbpaO7uMJQSBMFFhAAgh6ruG5BqmwLOixO/7/U6TowmD4B9frO8fqO9++TV1XXyc11AV0q3In5fGEIBAmCiwgAYQ1P+vytuHh+nrf/ynS2UKY/Avzv32gKnArcHqZxo+S5KoL6FZt+/nPeEIQCBMFFpAg+p2fdfkxeJOWLvV6msvT2frbB1bT1UJIAd2qrrE6c/pU4FbgjIVq++iDgIKfbhUwMBRYQIIKtm1oXHs13HQFHiidNV5nTp2kqwWvfrtVK2qlkUGC6w17NG369ICCn+IKGBgKLCBBBds2dDqdwQPxh16Wpi+gqwVJA+hWzSK4DkRLWrxvAEBoDocj4BBoY4x7RlF1xZUDpS92BE6HzxqvM6697q7F0g2qd9WpsrJSNTU1HCydZJxOpx559DEda2pU/rQCtbe3X+lWWZZM2Upp1Rfd3aqylVdmrbWfU86kPF2T3qam2g2aVjBd69kKBCKCDhZgM8E6W7mTJtHVSlFD7VYRXAeigwILsCH/fMyTW7cEjnkI1dUiq2VbwcZzBAwFDZWtYswCEFMUWEASGGpXi9laiS9Yp6qyslL1DS66VUACosACksSgu1pFC1V/JPhsraqqKoquOAnrKcDpZdKw4QwFBRIQBRaQpMLuajXsUc+wwNlayi7W1q1b2U6MAf9iqqqqyqfgPdwZemZVWs8lhoICCYgCC0hiYXW1QszW0idtbCdGWLB1C7b1t/XnT0qFZd61V6jDlhv2qHDGTIaCAgmIAgtIIQOardVxju3ECAqVoVr5kypZ/t1DWQHHJPV12DJDQYHEQ4EFpJhg/zMOetj05Q6JT9F1ZODbicne7Qr19YWboTrbfEbGv3uYNZ6nAAGbo8BKQCtWrNDEiRNlWZYOHTrU57XPPfecpk6dqsmTJ+vee+9VV1dXjO4SySRYZ6vqgZ/IuPb6Fl1HB7aduPJvVydNtyvc7T3P1xduhkqWFdg9HP15ngIE7M4g4Rw4cMC0tLSY3Nxc895774W87uTJk2b8+PHm3Llzpqenx9x8883mF7/4RdBr29vbjSTT3t7e75//pz/9adD3jvDZYZ1rampMyexSMzJjlCmZXWqcTqcpnjXHWEXlRjsuGT3b6f55WJrRt7e4P/b8+PYWo2HDjQr9rs0uNpLcn+PbW9w/S6ampsbU1NSY4llzzMiMUaZ41hxTU1PjvQ//18O5tmhmyYA/b7DXV69eHfSecydNDlyLwjJjjbw68OsedY3R9AU+r1mFZSZ3Up77cxeWuT93YZmRZKqqqgLWPlHZ4b1sd6yx/VBgJbD+CqwtW7aY5cuXez9+5ZVXzFe+8pWg11JgJR67rnNNTU1gQXDVMPfPfsVD0MLr8xMCCg0VlplrbpgUtIgJVdyEd23ZAK7t4/Wrhhn5fX2aXmZ0VYjC0hoW+PqX/ypoIeV0OoMWsnZi1/eynbDG9mMZ4+lLI9FMnDhRL774ombNmhX01++//35df/31+ulPfypJcrlcWrx4sZqbmwOu7ejoUFZWllpaWpSZmel9PT09Xenp6T7Xtra2asyYMRH8ShCMndfZ6XRq46bNamo8qmkF07WofIG2bNkiq7DsyvmIrr3KzZus5ow875l4Mkb669GSY7P76TiPuu2Sc6007Sb3E3Oea7dXSKfelvLm+b7+4y9KuaXSqlevnKtXXaG002+re9I83z8vxLXDTr+t7ol+n7e6QledfFs9/n/ej0ZLlcHv2Zp2k0yva63qCqWfeVuXJvreh1VdoZwLJ3XNNZ/3rtv6dWuTYpvPzu9lu2CN7YfDnlPMhAkTfD6uqqrSmjVrfF5ra2uL5S2lLDuv80033aSbbrrJ57XCwkJtfXK7jtdu0JSp+ap6/nkZY7Rs2TJZ1UtkihbJanhN5nJ43vQ+dLjhNUkmMOw9Y6HU+EZg5qvzQtAnHLuOviH555xCXNt9NMjnLVqonmCve0LnfvecnX2DWlx1vl+fa5/uvf9+PfXUUwGvb3z+eS1dutRn3VpbWyP7LycO7PxetouBrDGFWGKgwEoAv/zlL/Xkk09KklauXKm77747rN+Xk5OjEydOeD8+ffq0cnJy+vw94XSwJP4DjZVkWue77rpLd911V8DrV199tbvbVbvB3e164Cfubld1Ra9u1z53t8tV51d47VH6qFG65Pe6RmQEKXj2aETGKHWGeW2wzxvyz+sVOu99z9VOp4wxPl/f+stP9t10001BX09WyfReTlSssc3EdYMSfeovg3XixImAkPtTTz0V9FoyWIknldc5WOYoaLbrctg72OvhXbtgANf2/7qdc1LRlMrv5Vhhje2HAisB3XfffeaGG24ww4YNM+PGjTOTJ0/2/to999xjXnrpJe/Hzz77rMnLyzN5eXnm+9//vuns7Az6OSmwEg/rHChU2DtUQdbftUXFs8K+NpzXERzv5ehjje2HkHuK8ITc29vbfbYIgyFMGRusc/SxxrHBOkcfa2w/DBoFAACIMAos+Lh06ZKeeOIJXbp0Kd63ktRY5+hjjWODdY4+1tie2CJMEeFuEQ5kKxGDxzpHH2scG6xz9LHG9kQHCwAAIMIosAAAACKMQaMpwrMT3NHR0ed1nl/v7zoMDescfaxxbLDO0TeYNb766qtleU4jQFyQwUoRZ8+eDTgmBwCQnMhrxR8FVoro6enRH//4R76rAYAUwN/18UeBBQAAEGGE3AEAACKMAgsAACDCKLBS2IoVKzRx4kRZlqVDhw71ee1zzz2nqVOnavLkybr33nvV1dUVo7u0v/fff1833nij8vPzNXfuXDU0NAS9bv/+/crIyNCsWbO8Py5cuBDju7WfcNeX9/DQhLPOvIcHL9y/j3kf20icDplGAjhw4IBpaWkxubm55r333gt53cmTJ8348ePNuXPnTE9Pj7n55pvNL37xixjeqb3Nnz/f7Ny50xhjzL/8y7+YP/uzPwt63RtvvGFKSkpieGfJIZz15T08dOGsM+/hwQvn72Pex/ZCByuFffWrX1V2dna/173wwgv65je/qeuuu06WZemHP/yhfv3rX8fgDu3vo48+0sGDB3XHHXdIkiorK9XS0qLjx4/H+c6SQ7jry3t4aHgfR184fx/zPrYXCiz0q7m5Wbm5ud6PJ06cqObm5jjekX20tLRo/PjxSktzz/S1LEs5OTkh1+/EiROaM2eO5s6dq6effjqWt2pL4a4v7+GhGcj7mPdw9PA+thcmuQMJYs6cOTp79qyysrJ09uxZLVmyRNdee62+853vxPvWgLDwHgauoIOVQn75y196g6c7d+4M+/fl5OTozJkz3o9Pnz6tnJycaNxiUui9znv37tW5c+fU3d0tyX1kUXNzc9D1y8zMVFZWliQpOztbt99+u958882Y3rvdTJgwIaz15T08NOGuM+/h6OJ9bC8UWCnkzjvv1KFDh3To0CHdfffdYf++yspK7d69Wx988IGMMXrmmWf0ve99L4p3am+913nNmjWaM2eOdu3aJUmqqalRdna2pkyZEj7SCvQAAADSSURBVPD7zp07p56eHknSxx9/rNraWs2ePTum924348aNC2t9eQ8PTbjrzHs4ungf20w8E/aIr/vuu8/ccMMNZtiwYWbcuHFm8uTJ3l+75557zEsvveT9+NlnnzV5eXkmLy/PfP/73zednZ3xuGVbamxsNPPmzTNTp041paWl5vDhw95f673OTz31lCksLDTFxcWmsLDQrF+/3vT09MTrtm0j1PryHo6scNaZ9/Dghfr7mPexfXFUDgAAQISxRQgAABBhFFgAAAARRoEFAAAQYf8fvHL0EADm4QMAAAAASUVORK5CYII="
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### カクカクしてしまう例"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot(t->cos(t), t->sin(t), 0, 2pi, marker=:circle, legend=:none, xlims=(-0.1,0.1), ylims=(0.995,1.001))",
"execution_count": 7,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 7,
"data": {
"image/png": 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1BSyRKrR9v2XUO0G6ZAfZUGSZfZHL0ktdLkjVPz2Jfhed4fD24ACfFFvOfzFI3pcKWSJf0W95kSpQXGq54wOP1s8F+e9WywPnOuReFmBES73zSmJLRiPDoqEBDgShx9wg6woVskRAAUskpEo9y4Nry+8Z+OfVPrd0cvj4JwF+ma5GYIldbeqX31qnfk3o9WKQpbt0VpaIApZICFhref4Tn47PB7n5PZ+hzQybfhRgcneX5JoKVhL7Tq9jeHdogA71DRe94vFankKWxDcFLJGTtGinT4+5HiPe8GidbFiZFeCfvQM0qatgJfHllATDvEEuF51uGPq6x6zNClkSvxSwRI5BdnY2XbpmkFi7Dl26ZpCdnc36vZYfzgty/osepb5lwSCXVy4J0ClFwUriV2LAkN3f5crWhivf8pi2xgv3kETCQudgiRxFdnY2WVlZmI79sUPuZnXufLKysnBueI6m52fydF+Xy1sZnWgtcljAMfzzApfGtXxuWVJ+6vt9P9AbPCS+GGttRL7lo7i4mOTkZIqKikhKSgr3cCRCFRQUkJKSUqXfo0vXDFaXNcDe/BIYA9bCA4NJpYBPVi2nVkCLRqSqjvkh3+9Pqzxufd9nVFvDI73ciLvHpuaIVBVtEYocxcYN67Ed+peHKyj/3/QBFG5Zr3AlchTjOrs80dvl8Y2WEQs8DgYj8m96kZBTwBI5ijZt22HWzi+vXAFYi1k7j7bt24d3YCJR4mdtHP47wOX1zyyXvOpRVKqQJbFPAUvkKH5682+xufNh2mCY/wBm2mBs7gLuumNiuIcmEjUGN3NYMNhlVYGl94tBdhxQyJLYpoAl8j2+OGiZnnAprSfMplNCIbVeupvOCYVkZ2eTmZkZ7uGJRJUepzosHBrgixLoNTfIx8UKWRK71OQuUa0qG1SDfvl2xqoCS06mzrWKRmpgjkxb91kGvBpkbym8dkmArg3D929Lc0SqiipYIt9h0nKft3ZYnrvIVbgSCaHm9crvX9isjqH3S0He/lwHkkrsUcAS+RYvfOozZaXPlO4OfU/XPxORUGuUaHhzsMs5jQ0Xv+qR/alClsQWrRwi/2PjXsvP3/EY3sIwrrP+iYhUlXo1DS9d7JLZwjDiDY/H1ilkSezQSe4i3/BlmSVzfpAz6sDM3q5OnhapYgmu4V8XujR6z2f0Io/8g5aJXXXqu0Q/BSyRw6y1XPOux7b9sOzSAEk19QtepDo4xvDXHg6NE2HShz75JfDAeY5uPyVR7Yj9j02bNtGjRw/atGlD9+7dWbt27REP8n2fcePGkZ6eTrt27Rg1ahSlpaUV16dOnUp6ejodOnQgMzOTvXv3Vlx76qmn6NKlC+np6Vx00UVs27atil6ayPGZtsbnuU8s/7zApf0p+sUuUp2MMUzq5vJwT4cH1/pc8ZZHqReRb3IXOSZHBKzRo0dz3XXXsXHjRiZMmMDIkSOPeNCMGTPIyckhJyeHdevW4TgO06ZNA2D+/PnMnDmTJUuWkJubS0ZGBhMnlh/IuH79em699VZee+011qxZwy9+8QtuuOGGqn2FIsdg4Q6fce/7/KaTw4iW6rsSCZfrO7jMvsgl+1PL0Nc9vixTyJLoVGklyc/PZ/ny5Vx55ZUAZGVlkZeXx+bNmys9aOXKlfTr14+aNWtijGHgwIE89dRTFdd69epFvXr1ABg0aFDFtTVr1tC5c2dSU1Mrrr366qvs2bOnal+lyPf4fL9lxBsevU4zTDlb4Uok3C5r6fDqJS5L8i0Xveyxu0QhS6JPpdUkLy+P1NRUAoHy1ixjDM2aNTtiGy8jI4O5c+dSXFxMWVkZs2fPZsuWLRXXFixYwM6dO7HWMmvWLPbt20dBQQFdunQhJyeHjRs3AvD0009jrWXr1q3fOcDi4uJKH4cOHQrl65c4V+qVhyvXwHMXugQcbQ2KRIILz3B4e0iAT/dZes0Nsu1LhSyJLifU5D5y5Ei2bt1K7969SUxMpF+/fsybNw+Avn37Mm7cOIYMGYLruhW3EwkEArRu3ZpHHnmEn/3sZwSDQQYPHkz9+vUrAt23adq0aaXPx48fz4QJE05k2BKDCgsLT+rxv12RwAf5NXix9wFqlPgUlIRoYBIRTnZ+SHi1cODlCwyXLarNuf8p5fleB2mXFNqjHDRH5GhO9KT/SrfKyc/PJy0tjYKCAgKBANZaUlNTWbRoEWlpad/5JM8++yzTp09n4cKFR1xbunQpI0aMIC8v74hrO3fupEWLFhQUFFC7du1K1766VU5eXl6lW+UkJCSQkJBwQi9WYs/J3ObiX5vLG2kf7OFwU0c3xCOTSKDboMSGz/dbLnktyGf74eWLXc47NXRb+ZojUlUqzdLGjRvTrVs3nn76aQDmzJlDkyZNjghXJSUlFal/9+7dTJkyhfHjx1dc37FjBwAHDhzgzjvv/NZrnucxYcIEbrrppiPC1TclJSVV+lC4klBYXWC5dqHHlWmGGzuo70okkp1ex/DukADppxguetnjlW06kFQi3xE3e96wYQMjR45kz549JCUlMXPmTDp16sQ111zDsGHDGDZsGLt27aJPnz44joPv+4wdO5brr7++4jk6deqE7/uUlpZy1VVXMWnSpIpD4wYOHMjWrVs5dOgQgwcPZurUqd8amnSzZzkWJ/LX595Dlu7/CVI7AEsuDVA7oL6rWKXqRGw5GLT85E2Pl7dZZvZ2uar1yf9xpDkiVeWIgBUpFLDkWBzvL0ffWn44z+PdnZYPMwO0SlK4imVaPGNP0Ldct9Bj5kbL/ec6/KrTyW3va45IVdFJ7hJXpqzweXGb5cUBrsKVSBQKOIYZF7g0TvT59VKfXQfh/7rr1joSeRSwJG7M+8znjuU+k7o6DGmuviuRaGWMYcrZLo1rwW/e9/nioOXR83XMikQWBSyJC1v2WS5/0+PiJoa7uilcicSCX3d2aZRouPodj92HPJ690CVRPZUSIbTSSMwrCVouW+CRVANm9XVx9VeuSMy4qrXDfwe4zP/McvGrHnsPRWRbscQhBSyJeb98z2NNoWVO/wAptRSuRGLNoGYObwx2WVNo6f1SkB0HFLIk/BSwJKb9Y73PPzZYHu7p0q2hwpVIrDrvVIeFQwLsOQQ9/htkU5FCloSXApbErA++8Llpscfodg6/aKupLhLrOqYY3hsWIMGFnnOD5OxWyJLw0aojMWl3SXnfVZcGhmk9NM1F4kWzuoZFwwK0qGfo81KQN7fr1HcJD608EnM83/LTNz0OBOH5fi4JrrYGReJJw1qGNwe7nNfYMPA1j+c/UciS6qeAJTHnzg993vjc8uyFLs3qKlyJxKO6NQwvXuwy/EzDj97weCTXC/eQJM7oHCyJKf/d4jN5hc+U7g4XnaG/H0TiWU3XMKuvS6NaPjcs9skvgUlddeq7VA8FLIkZm4osP3vbI7OFYXwXhSsRAccYpp3ncGoi3LHcJ/8g/LWHg6OQJVVMAUtiwv4yy/D5QU6rDTN7u/oLVUQqGGOY2NWlUS3DDYs9dpdYnuij/kypWgpYEvWstVy70OPTffD+pQGSa+qXpogc6br2Dg1rweVveux53SO7nxvuIUkM0z6KRL2/rfV55mPLjAtcOqYoXInIdxt+psNrA13ez7dc+LLH7kP6nSFVQwFLotrS3S6/Werzq3SHH7fSdBaRo+t7usM7QwJs228Z9HZttu7TgaQSelqRJGrtOGC5+v1anHeq4Q/naCqLyLHr2tCweGiAoA895gZZU6CQJaGlVUmiUplv+fEb5efazL7IpYajMr+IHJ+0ZMMrfQ7QqBac/2KQxTt1IKmEjgKWRKXx7/ss2WWZeU4Jp9VWuBKRE3NaouXtIQE6pxj6v+Lx8jaFLAkNBSyJOs9+7PPAGp/7z3U4p6FOZxaRk1M/wfDaQJeLmxgunefx5EaFLDl5ClgSVdYWWEa96/HTVoYxHTV9RSQ0EgOGf/dzGdnG8PN3PP60Sn+8ycnROVgSNYpKLZnzg7RKgsfO12GiIhJaAcfw9/NdGif63Pp++anvfzhbt9aRE6OAJVHBt5afv+2RXwLLfxigTg39whOR0DPGMLm7S+Na8KulPl+UWP5+vktAb6SR46SAJVHhjyt9/rvV8t8BLmnJ+kUnIlXrlk4ujRINI9/22F3i8dxFLrUD+t0jx05NLBLxFmz3mbjcZ+JZDsOaa8qKSPW4Is3hxYtd3vzcMuAVj8JDOitLjp1WK4lo2760XP6mR7/TDfdkaLqKSPW6pKnDG4Nc1u21XPBikM/3K2TJsdGKJRGrJGi5bIFHnQD860IXVz0QIhIG557qsGhogL2lcNYd/6ZdlwwSa9ehS9cMsrOzwz08iVAKWBKxxi7xWVVgeb6fS4NaClciEj7tTzFMsnP54oEfsyHYgJIhd7O6rAFZWVkKWfKtjLU2IuudxcXFJCcnU1RURFJSUriHI9Xsnxt8Rr3r8Y/zXUa1++6/AwoKCkhJSanGkUk00fyQozmeOdKlawaryxpgb34JjAFrMdMG0zmhkBU5y6t4pBJtVMGSiJOz23LjYo9r25nvDVciItVp44b12A79y8MVgDHYjgPYsH5deAcmEUmrl0SUPSWW4fODdDrF8Nfz3HAPR0SkQpu27TC58+GrjR9rMWvn0bZ9+/AOTCKSzsGSiOH5live8viyDN4Z4lJLZ86ISAS5a9JEsrKyMNMGYzsOgDXzsOsWcPvzc8I9NIlAqmBJxLgnx2f+dsszF7o0r6dwJSKRZfjw4cyZM4fOCYXUeulu2tYoxLlhNptaXhruoUkEUgVLIsJLW31+95HP5O4O/Zso94tIZBo+fDjDhw+v+PzW9z1+/5HPT1s5nJmkPwzla1rJJOw2F1mufNvj0uaGCV00JUUketzVzaFBLRi7xAv3UCTCaDWTsDoQtAxfEKRRLXiij4uju9aLSBSpW8PwwLkuL26zzN3qh3s4EkEUsCRsrLWMXujxcTG80D9Ack2FKxGJPllnGi5uYrj5PY8DwYg8WlLCQAFLwuahXJ+nN1v+cb5LeorClYhEJ2MMD/Zw2XkQ7vtIVSwpp4AlYfHeLp9blviMTXe4PE3TUESiW1pyeQ/p1FU+G/aqiiUKWBIGOw9YRizwOKexYeo5moIiEhtu6+LQtA7ctNgjQu9CJ9VIq5tUqzLf8uM3PHwL/+7nUsPR1qCIxIbEgOHBni5vfG557hMFrHingCXV6rfLfN7bZfl3P5fU2gpXIhJbBjZ1yGxh+PVSj+JShax4poAl1Wb2xz5/Xu3zp3Mdep2mqScisemB81yKSuGuD9XwHs+0ykm1yC20XP2ux09aGW7uqGknIrGrWV3DnV0d/rrWZ+UeVbHilVY6qXLFpZbh84O0qAd/P9/F6DBREYlxv+rk0DYZblzs4avhPS4pYEmVstbyi3c8dhyA7H4B6tZQuBKR2FfTNTzU0+W9XZbHNypgxSMFLKlSU1f5ZG+xPNnHpU19hSsRiR99Tne4Is0w/n2PPSUKWfFGAUuqzJvbfX77gc9vz3K4tIWmmojEnz+d41Lmw+0fqOE93mjVkyqR96XlJ296XHi64XcZmmYiEp9Oq224r7vD39f7vJ+vkBVPtPJJyB3yLCPe8EgMwDMXurg6TFRE4tgN7R3OagA3LPLwfG0VxgsFLAm5W5b4fLTb8nw/l4a1FK5EJL65juHhXi4r9sDD61TFihcKWBJSj2/0eWSdz4M9Xbo30vQSEQE4p7HDte0cJn7gs/OAqljxQCughMxHuy03LPK4uo3hmraqXImIfNPk7g41HLj1fS/cQ5FqoIAlIVFQYslaEKTjKYbpPXWYqIjI/2pQy/DHc1ye3mx5+3NtFcY6BSw5ab61XPm2R1EpPN/PpVZA4UpE5NuMbGPocarhxsUepZ62CmPZEQFr06ZN9OjRgzZt2tC9e3fWrl17xIN832fcuHGkp6fTrl07Ro0aRWlpacX1qVOnkp6eTocOHcjMzGTv3r0V15544gk6derEWWedRdeuXXnllVeq6KVJdbk3x+e1PMu/+rq0qKdwJSLyXRxTfsL7hiJ4YI2qWLHsiIA1evRorrvuOjZu3MiECRMYOXLkEQ+aMWMGOTk55OTksG7dOhzHYdq0aQDMnz+fmTNnsmQ0Q9DUAAAgAElEQVTJEnJzc8nIyGDixIkAFBQU8Mtf/pL58+ezYsUK/va3v33r80v0eHmbzz05PvdmOFzcVAVREZGj6dKg/Kb39+T4bPtSVaxYVWlFzM/PZ/ny5Vx55ZUAZGVlkZeXx+bNmys9aOXKlfTr14+aNWtijGHgwIE89dRTFdd69epFvXr1ABg0aFDFNd/3sdayb98+APbu3UuTJk2q9hVKlfmk2HLlWx5Dmxlu76pwJSJyrO7JcEiuCbcsUcN7rKq0Kubl5ZGamkogEADAGEOzZs3Ytm1bpQdlZGQwd+5ciouLKSsrY/bs2WzZsqXi2oIFC9i5cyfWWmbNmsW+ffsoKCigYcOGPPLII3Tr1o3mzZtz9dVX8/jjj3/vAIuLiyt9HDp0KHSvXk7YgaBl+PwgDWrBk31cHDW1i4gcs6SahvvPdXlhi+WVbdoqjEWBE3nQyJEj2bp1K7179yYxMZF+/foxb948APr27cu4ceMYMmQIruuSmZlZ/o0CAYqKipg2bRrLli2jffv2vPjii2RmZrJu3Tpq1qz5rd+radOmlT4fP348EyZMOJFhS4hYCzcur8XGogCv9z2Av9+nYH94xlJYWBiebyxRQfNDjiacc6R/fbigUSI3LfJZ1H8/iW7YhiLfIyUl5YQeZ6y1FRvA+fn5pKWlUVBQQCAQwFpLamoqixYtIi0t7Tuf5Nlnn2X69OksXLjwiGtLly5lxIgR5OXl8fzzz/PYY49VhDGARo0a8d5779G6detKjysuLiY5OZm8vDySkpIqvp6QkEBCQsIJvVgJjYdzPW5c7PN0X5cr0sK7NVhQUHDCk19in+aHHE2458iGvZZOc4LcfpbD3RlKWLGk0urYuHFjunXrxtNPPw3AnDlzaNKkyRHhqqSkpCL17969mylTpjB+/PiK6zt27ADgwIED3HnnnRXXWrZsyYoVK9i5cycAS5YsIRgMHlGl+qakpKRKHwpX4bV0l8/YJT6/7OiEPVyJiES7tvUNt3Z2mLLSZ1ORGt5jyRFbhI8++igjR45k8uTJJCUlMXPmTACuueYahg0bxrBhwygqKqJPnz44joPv+4wdO5ahQ4dWPMeAAQPwfZ/S0lKuuuoqxowZA0C3bt2YOHEiF154ITVq1CAQCDB79mxq1apVTS9XTsauA5bL3vDo3sjwp3MUrkREQmFiV4dZm31++Z7Hq5fooOZYUWmLMJJ8tUVYVFRUaYtQwiPoW/q/4rFuryUnM8DpdSLjF0C4y/sS2TQ/5GgiZY7M3epz6TyP5/u5ZJ2pP2BjgX6Kckxu/8Bn4U7Lcxe5EROuRERixbDmDkObGcYu8dhXGpF1DzlOClhyVHM+9Zm6ymfqOQ69UzVlRESqwrTzXApK4N6PdGxDLNBqKd9rXaFl5DseP2ppuCVd00VEpKqcmWSY2NXhgdU+awpUxYp2WjHlO+0rtQxfEKRpHZhxgRovRUSq2rjODi2T4MbFHhHaIi3HSAFLvpW1lqvf9di+H17oH6BuDYUrEZGqluAapvd0WbjT8tQmBaxopoAl3+r+1T7Pf2p5ordL2/oKVyIi1aXfGQ4/bmm4dZlH4SGFrGilgCVHePtznwnLfCZ0ccjU24VFRKrd/ee6HAzCHcvV8B6ttHpKJZ99afnRGx69Uw2//4Gmh4hIOJxex3BvhsPDuT7Lv1DIikZaQaVCqWcZ8YZHggvPXOgScLQ1KCISLmM6OnRKgRsX+3i+tgqjjQKWVPj1Up+c3ZY5/VwaJypciYiEU8AxPNTT5YMvLH9frypWtFHAEgCe2uQzPdfnrz0czm6saSEiEgl6nubwizaG25f75B9UFSuaaCUVVuyxXLfQY2Qbw3XtNCVERCLJH852AZiwzAvzSOR4aDWNc4WHLFnzg7SvDw/11GGiIiKRplGiYUp3l8c3Whbt1FZhtFDAimO+tVz1lkdhKczpFyAxoHAlIhKJrmlnOLuR4YZFHmVqeI8KClhx7L6PfF7Js8zq63JmksKViEikckx5w3vuXvjbGlWxooECVpx6Nc/nrg997s5wGNhU00BEJNJlNDLc2N7hrhyf7ftVxYp0Wlnj0KfFlive8hjU1HBHV00BEZFo8bsfONQJwK+XquE90ml1jTMHg5asBUFOqQlP9XVx1NQuIhI16icY/nSOy+xPLPM+01ZhJFPAiiPWWm5c7LFuL2T3D3BKgsKViEi0uSLN0DvVMGaxxyFPW4WRSgErjjy23ufxjZZHe7l0aaBwJSISjczhhvdP98HUlapiRSoFrDjxfr7PL9/zubGDw8/a6McuIhLNOpxi+HUnh/tW+HxarCpWJNJKGwe+OGi5bIFHRkPDX87Vj1xEJBZM6ubQqBb88j0PaxWyIo1W2xgX9C0/edOj1Id/X+RS09XWoIhILKhbw/DAeS4v51nmblXAijQKWDHujuU+7+ywPHehS5O6ClciIrEks4VhYFPDzUs89pcpZEUSBawYlv2pzx9W+kw526HP6fpRi4jEGmMMf+vhsusg3LdCDe+RRKtujMnOzqZL1wwSatdhRN8fcN5n/+E3nfRjFhGJVa2SDL/t4vCnVT7rClXFihRaeWNIdnY2WVlZrC5rQOmQu/HrNGTJvT/ihRdeCPfQRESkCk3o4tCsLty0WA3vkcLYCP1JFBcXk5ycTFFREUlJSeEeTlTo0jWD1WUNsDe/BMaAtZhpg+mcUMiKnOXhHl6VKCgoICUlJdzDkAil+SFHE0tz5LU8n4Gvefyrr8vlaaqfhJt+AjFk44b12A79y8MVgDHYjgPYsH5deAcmIiJV7pKmDllnGn691KOoNCJrJ3FFASuGtGnbDtbOh6+KktZi1s6jbfv24R2YiIhUi7+c67KvDO5crob3cFPAiiG/vPV2yJ2PmTYY5j+AmTYYm7uAu+6YGO6hiYhINWha13BXN4cHc31W7FEVK5wUsGLI6hY/pPaY5+hYs5BaL91N54RCsrOzyczMDPfQRESkmtzSyaFdMtywyMOPzDbruBAI9wAkNHYcsDy23uf2X2Qx6W8/CvdwREQkTGo4hod7ufR+yeOfGyzXtNMh0+GgClaM+MNKn1ou3JyuH6mISLy7INXhqjTDhGUeu0tUxQoHrcYxYMcBy6PrfG5Jd0iuqb9UREQEpp7j4ln47TIv3EOJSwpYMWDqSp8EF8aqeiUiIoedWtswubvDPzZYlu7Suwqrm1bkKLfzgOWRw9Wr+gmqXomIyNdGt3PIaGi4YbFH0NdWYXVSwIpyU1f51HBUvRIRkSO5juGhng4r98BDuapiVSetylFs1wHLw7k+Y9MdTlH1SkREvsXZjR2ua+cwabnPjgOqYlUXBawo9qfVPgEHblH1SkREvsfk7g41XRi3VA3v1UUrc5TKP2h56HD1KqWWqlciIvLdUmoZpp7j8q+PLW9u11ZhdVDAilJ/WuXjGviVqlciInIMftba0PNUw03veZR62iqsalqdo9AXBy3Tc31+2VHVKxEROTaOMTzU02VTEdy/WlWsqqaAFYX+vNrHMfDrTvrxiYjIsevcwDA23eHeHJ+t+1TFqkpaoaPM7hLLg2vLq1cNVL0SEZHjdHc3h1MS4JYlanivSgpYUearsq6qVyIiciLq1TT85VyX/2y1vLxNW4VVRat0FNlTYvnbWp8xHR0aqnolIiInaERLQ/8zDL98z+NgUFuFVUEBK4rcv9rHt/AbVa9EROQkGGN4sIfL9v3wfytUxaoKWqmjRMHh6tVNHRwaJap6JSIiJ6dNfcP4Lg5/WOmzqUhVrFBTwIoSf1nj41kY11k/MhERCY3bz3I4ow6MWexhrUJWKGm1jgIFJZZpa3xu7ODQWNUrEREJkcSA4a/nuczbbnn+UwWsUFLAigIPrPEJ+jBOvVciIhJiQ5o7XNrccMsSj32lClmhohU7whUeKq9e3dDB4dTaql6JiEjoTTvPpfAQ3JOjhvdQUcCKcNPW+JT5cKt6r0REpIo0r2eY1M3hgTU+qwtUxQqFI1btTZs20aNHD9q0aUP37t1Zu3btEQ/yfZ9x48aRnp5Ou3btGDVqFKWlpRXXp06dSnp6Oh06dCAzM5O9e/cCsHr1as4666yKjxYtWpCSklKFLy+67T1keWCNz/XtHU5T9UpERKrQbzo5tE6GGxep4T0UjghYo0eP5rrrrmPjxo1MmDCBkSNHHvGgGTNmkJOTQ05ODuvWrcNxHKZNmwbA/PnzmTlzJkuWLCE3N5eMjAwmTpwIQKdOnVixYkXFx5AhQ7jiiiuq9hVGsWlrfA55ML6LqlciIlK1arqG6T1cFu2yPLlJAetkVVq58/PzWb58OVdeeSUAWVlZ5OXlsXnz5koPWrlyJf369aNmzZoYYxg4cCBPPfVUxbVevXpRr149AAYNGlRx7ZtKSkqYNWsWo0aNqpIXFu2KSsurV6NVvRIRkWpy4RkOl7cy3Pq+R0GJQtbJqBSw8vLySE1NJRAIAOUnvTZr1oxt27ZVelBGRgZz586luLiYsrIyZs+ezZYtWyquLViwgJ07d2KtZdasWezbt4+CgoJKz5GdnU3Lli0566yzvneAxcXFlT4OHTp0sq85Kvx1jU+JBxNUvRIRkWr053NdSjyYuFwN7ycjcCIPGjlyJFu3bqV3794kJibSr18/5s2bB0Dfvn0ZN24cQ4YMwXVdMjMzy79RoPK3mjFjxjFVr5o2bVrp8/HjxzNhwoQTGXbUKC6DP6+qy89alJFQso+CknCPKHIVFhaGewgSwTQ/5Gg0R46UAPy2fQ0mrkog67R9dEuJ76B1or3ixn6jky0/P5+0tDQKCgoIBAJYa0lNTWXRokWkpaV955M8++yzTJ8+nYULFx5xbenSpYwYMYK8vLyKr3366aekp6ezfft26tev/63PWVxcTHJyMnl5eSQlJVV8PSEhgYSEhBN6sdHi9zkev1/h88mPA5xeR9uD36egoEBvlJDvpPkhR6M58u2CvuUHLwQJOIb3L3VxHa1Fx6vS/lPjxo3p1q0bTz/9NABz5syhSZMmR4SrkpKSitS/e/dupkyZwvjx4yuu79ixA4ADBw5w5513VroG8M9//pPMzMzvDFfflJSUVOkj1sNVcanl/jU+17Z1FK5ERCQsAo7h4V4uH+62PLY+vitYJ+qILcJHH32UkSNHMnnyZJKSkpg5cyYA11xzDcOGDWPYsGEUFRXRp08fHMfB933Gjh3L0KFDK55jwIAB+L5PaWkpV111FWPGjKm45vs+jz/+OE8++WQ1vLzo8+Ban/1lcNtZ6r0SEZHwOe9Uh1FtfX77gc/wFjrs+nhV2iKMJF9tERYVFVXaIoxl+0otLZ4Ncnkrhwd7uuEeTlRQeV++j+aHHI3myPfbXWJpOzvIkGaGJ/qcUNt23FKZJII8mOvzZRncpncOiohIBGhYy/CHs12e3GR5d4e2Co+HVvII8WWZ5c+rfEa1dWhSV2VYERGJDFe3NZzb2HDjYo8yPyI3vSKSAlaEmL7Wp1i9VyIiEmEcY3iop8u6veV3GJFjo9U8AnxZZvnT6vLqVTNVr0REJMJ0bWgY08Hh7g99PvtSVaxjoYAVAR7K9Skqhd+qeiUiIhHq3h841KsBv1rqhXsoUUErepjtL7P8aZXPL9qoeiUiIpEruabhz+e6PP+p5fU8bRUejQJWmD28zqfwkKpXIiIS+S5vZeibahjznkdJUFuF30erehjtL7NMXeXzi7aGFvVUvRIRkchmjGF6T5ct++CPq1TF+j4KWGH0yDqfghK4/SwdKioiItGh/SmGcZ0dJq/w+bhYVazvooAVJgeClj+u8vl5G1WvREQkutzR1eHURLj5PY8IvSFM2Clghcmj63z2qHolIiJRqE4Nw7TzXF7Js/xniwLWt1HACoODQcsfV/r8vLWhZZKqVyIiEn0ubW4Y3NQwdonH/jKFrP+lgBUGj67z+aIEJnZV9UpERKKTMYa/9nD5ogR+95Ea3v+XAlY1Oxi0/GGlz1WqXomISJRrmWS4/SyHP6/yyS1UFeubFLCq2d/XH65eqfdKRERiwK2dHc6sBzctVsP7NylgVaOSoGXKSp8r0wxpyapeiYhI9KsVMDzY0+XtHZZ/fayA9RUFrGr09/U+uw6q90pERGLLgCYOI840/Gapx95DClmggFVtvqpeXdHK0FrVKxERiTF/Oc9lfxDu/FAN76CAVW1mbPDZeRDuUPVKRERi0Bl1DHd3c5ie65OzW1UsBaxqcMiz/N9Kn5+2MrSpr+qViIjEppvTHTrUhxsXe/hx3vCugFUNZmzw2XFA1SsREYltNRzDw71c3s+3zNiggCVV6JBn+b8VPj9paWir6pWIiMS4Xqc5/Ly14bZlHrtL4jdkKWBVsZkbfLbvV/VKRETixx/PcfEt3LbMC/dQwkYBqwqVHu69+nErQ/tTVL0SEZH40DjRMLm7w4wNlvd2xee7ChWwqtDjGy15X8IkVa9ERCTOXNfO4QcNDTcs8gj68bdVqIBVRUo9y30rPH7U0tBB1SsREYkzrmN4uJfD6gKYnht/VSwFrCryxCZVr0REJL79oJHD9e0dJi33+Xx/fFWxFLCqQJlvmfyRx2VnGjqmqHolIiLx677uDrVc+M378dXwroBVBZ7caNnyJdzZTdUrERGJb6ckGP50jsuzH1ve2B4/W4UKWCFW5lt+f7h6la7qlYiICFe1Npx/muGmxR6HvPjYKlTACrGnNql6JSIi8k3GGB7q6bK5GP68Kj6qWApYIVTmW+77yGN4C0MnVa9EREQqpKcYftXJ4fcf+WzZF/tVLAWsEJq12fLJPlWvREREvs1d3RxSasHYJbHf8K6AFSLBw71XmS0MXRqoeiUiIvK/6tYwPHCuy9ytlhe3xvZWoQJWiMzabPm4WNUrERGR75N1puHiJoab3/M4EIzdrUIFrBD4qnp1aXPDWapeiYiIfCdjDH/r4fL5AZj8UexWsRSwQuCZjy2bi+EuVa9ERESOqnWy4bazHKau8tmwNzarWApYJynoW36X4zGsuaFrQ1WvREREjsVtXRzOqANj3vOwNvZClgLWSXr2Y8umYrhT9xwUERE5ZokBw4M9XBZst8z+RAFLvsE73Hs1pJkho5GqVyIiIsdjUDOHzBaGXy31KC6NrZClgHUSnvvEsqGo/FwPEREROX4PnOeyZ8kLtOqUQWLtOnTpmkF2dna4h3XSlAxOkOdbfveRx+Cmhh800n9GERGRE7F83guUTv8xuwMNKRlyN6vLGpCVlRX1IcvYCO0sKy4uJjk5maKiIpKSksI9nCM8s9nnp295LPuhS3cFrLApKCggJSUl3MOQCKX5IUejORJ+XbpmsLqsAfbml8AYsBYzbTCdEwpZkbM83MM7YUoGJ+Cr6tXApkbhSkRE5CRs3LAe26F/ebgCMAbbcQAb1q8L78BOktLBCXj+U8u6veq9EhEROVlt2rbD5M6HrzbUrMWsnUfb9u3DO7CTFAj3AKKNby335nhc0sRwTmMFLBERkZNx16SJZGVlYaYNxnYcAGvmYdct4K4o78FSQjhOz39iyVX1SkREJCSGDx/OnDlz6JxQSMJLd+McLODSKc+TmZkZ7qGdFFWwjoNvLfd+5DHgDMO5pypgiYiIhMLw4cMZPnw4AL9Z6vH4Rp+DQUtiIHrPmFRKOA7Zn1rWFsJdGfrPJiIiUhVuaO9QcKj8TinRTEnhGH1Vvep/hqGHqlciIiJVIi3ZMLCp4cHc6L5HoZLCMXphi2V1gXqvREREqtqYDg45u+H9fAWsmPbVOwcvOt3Q8zT9JxMREalKlzQ1tKwHD+b64R7KCVNaOAb/3WJZpeqViIhItXCM4cYODv/+xLLrQHRWsZQYjsIe7r268HTD+an6zyUiIlIdftHGwTHwjw3RWcU6IjFs2rSJHj160KZNG7p3787atWuPeJDv+4wbN4709HTatWvHqFGjKC0trbg+depU0tPT6dChA5mZmezdu7fiWmFhIVdccQVt2rShY8eO3HbbbVX00kLjv1stK/aoeiUiIlKdUmoZrkgzPLLOJ+hHXxXriNQwevRorrvuOjZu3MiECRMYOXLkEQ+aMWMGOTk55OTksG7dOhzHYdq0aQDMnz+fmTNnsmTJEnJzc8nIyGDixIkVj7366qvp2rUrGzduZO3atdxyyy1V9+pOkj3ce9Un1XCBqlciIiLV6qYOLp/th7lbozxg5efns3z5cq688koAsrKyyMvLY/PmzZUetHLlSvr160fNmjUxxjBw4ECeeuqpimu9evWiXr16AAwaNKji2ubNm1m+fDm//vWvK57rtNNOq7pXd5Je3Gb5SNUrERGRsOja0NDjVMP0KGx2r5Qc8vLySE1NJRAoP+DdGEOzZs3Ytm1bpQdlZGQwd+5ciouLKSsrY/bs2WzZsqXi2oIFC9i5cyfWWmbNmsW+ffsoKCggNzeXJk2acMMNN5CRkcGAAQP46KOPvneAxcXFlT4OHToUwpf/3ay13JPj0TvV0Od0BSwREZFwuKmDw5ufW3ILo6uKdUK3yhk5ciRbt26ld+/eJCYm0q9fP+bNmwdA3759GTduHEOGDMF13Yp7CQUCAYLBIMuWLWPy5Mk8+uijvPrqqwwZMoQtW7ZQo0aNb/1eTZs2rfT5+PHjmTBhwokM+7i89rlLzu7a/Of8/RQUeFX+/eTEFBYWhnsIEsE0P+RoNEci34X1oXFCHe7POcAfu1ZPkeWbUlJSTuhxxn7jmNT8/HzS0tIoKCggEAhgrSU1NZVFixaRlpb2nU/y7LPPMn36dBYuXHjEtaVLlzJixAjy8vJYvnw5w4cPr1QRa9SoEUuWLDni+YuLi0lOTiYvL4+kpKSKryckJJCQkHBCL/ZYWWvp/h+P2gF4Z4iLMdF7L6RYV1BQcMKTX2Kf5occjeZIdLhzucdf1vhs/2mApJrRsSZX2vtq3Lgx3bp14+mnnwZgzpw5NGnS5IjwU1JSUpH6d+/ezZQpUxg/fnzF9R07dgBw4MAB7rzzzoprGRkZJCUlsWrVKgCWLVuGtfaIKtU3JSUlVfqo6nAF8Eqe5cPdlru6OQpXIiIiYTa6vcPBIDy5KXp6sY7YInz00UcZOXIkkydPJikpiZkzZwJwzTXXMGzYMIYNG0ZRURF9+vTBcRx832fs2LEMHTq04jkGDBiA7/uUlpZy1VVXMWbMGKC8p+uJJ57g2muv5eDBgyQkJDBnzpxqCU3Hqrz3yqfnqYYLT1e4EhERCbcz6hgyW5Q3u9/UITqKH5W2CCPJV1uERUVFlbYIq9qreT6DXvOYP8il3xlqbo90Ku/L99H8kKPRHIkeb3/u0/dljwWDXC6KgvU58kdYjay13P2hT49TDRepeiUiIhIxeqcaOp5C1BzZoID1Da9/Zln2hXqvREREIo0xhps6OPx3q2XblxG5+VaJAtZhX/VendvY0P8MhSsREZFIc1Vrh7oBeHRd5FexFLAOm7/dsjTfcreqVyIiIhGpbg3Dz9s4/H29zyEvsqtYClh83Xt1TmPDgCYKVyIiIpHqxg4OX5TAvz9RwIp4C7ZbluSr90pERCTStatf3srzYIQ3u8d9wPqq96p7I8Mlql6JiIhEvJs6OLyfb1n+ReSGrLgPWG9+blm8S71XIiIi0WJIM0OzupF9ZENcB6yveq9+0NAwsKnClYiISDRwHcMN7R2e+diyuyQye7HiOmC99bll0S71XomIiESbUW3LI8w/N0RmFSuuA9Y9OT4ZDQ2DmylciYiIRJNGiYYftzQ8lOvj+ZFXxYrbgPX25z7v7lT1SkREJFqN6eiw9Ut4JU8BK2LcnePTrWF5o5yIiIhEn+6NHLo3Mjy4NvK2CeMyYL2zw+edHZY7u7qqXomIiESxMR0c5m23bNwbWVWsuAxY93zoc1YDGNZc4UpERCSa/ailoWEteCjC7k8YdwHr3R0+b+2w3NVN1SsREZFoVytguKatw8wNPl+WRU4VK+4C1j05Pl1S4FJVr0RERGLC9e0dvgzCrM2RU8WKq4C1aKfPm59b7lT1SkREJGY0r2cY2qy82d3ayKhixVXAuifHp1MK/LCFwpWIiEgsGdPRYU0hLNypgFWt3tvls2B7+TsHHVWvREREYspFpxvaJhMxRzbETcC650Of9FNg+JkKVyIiIrHGGMNNHRxe2GLZvj/8Vay4CFhLdvnM217ee6XqlYiISGz6WRuHBBceWx/+KlZcBKx7cnw6ngJZql6JiIjErOSahp+1dnhsnU+pF94qVswHrPfzfV7/zDJJvVciIiIx76YODjsPQvYWBawqdU+OT4f6cJmqVyIiIjGvY4qhT2r4708Y0wFrWb7Pq3mWSd1cXEcBS0REJB6M6eiweJdlxZ7wVbFiOmDdk+PTrj6MUPVKREQkblza3HBGHZi+1gvbGGI2YH3whc8reeW9V6peiYiIxI+AY7i+ncOszZbCQ+GpYsVswLo3x6dtMvy4pcKViIhIvLm2nUPQwswN4enFismAtfwLn5e2qfdKREQkXp1a2zDiTMND63z8MNyfMCYD1r05Pm2S4SeqXomIiMStmzo6fFwMr3+mgHXScnZbXtxmuUO9VyIiInHtvMaGrg1gehiObIi5gHVvjkfrJLi8lcKViIhIPDPGMKajyyt5lo+Lq7eKFVMB66Pdlv9u/f/27i0myvQOA/jzfYAsIrBaKk6BkXJSEXQESQxqgEjaSJSEGk1tcTMrCnQ18QYPXeMRmyheNASkqxuWxENXpTY11Ru10QQTTNcA6oocdThUhAoiBnCA+d5esE5hB4cZmBmY2ed3Q4ZvZngnefLmyZ+Pl5HplTunV0RERD95vw2T8Kkn8Jcax06xXKpgHa80INwX+F04yxUREREBs90lZC6S8U29gv5hx02xXKZgPeoS+EezwEFOr4iIiGiUPyyR0aMHvm1kwbLa8UoDwnyBDE6viIiIaJRQXwmpwRKKagwQDhgjQUsAAAifSURBVDqywSUK1uMugb/rBA5qOL0iIiIiU7uWyqjuAio6WbAsdrzKgF/6ABkRLFdERERk6tdBEsJ8HXdkg9MXrCfdAtdejEyvPDi9IiIionHIkoQvlsgoeyHQ0W//KZbTF6y8SgNC5gCfRbJcERER0cd9vkiGuwR8XWv/KZZTF6zvuwX+9mLkLwc5vSIiIiJz5npKyIiQ8FWtgiHFvlMspy5YeVUGqOcAn/HeKyIiIrLArig3/KcPuK5jwRpXzRuBsucCX2rcMMuNBYuIiIgmtvxnEtYESDhj55PdnbZg5VUZEDwH0PLeKyIiIrLCrqUy7rULfN9tvymWUxasZ28ErjQJfKmROb0iIiIiq/wmRMICL6DYjlMspyxYeVUGBHkDn0c65fKJiIhoGs1yk5C1RMb5BgVvB+0zxXK6hlLbI3C5SeCPnF4RERHRJGUvlqE3AOfr7TPFcrqCdaLKgEBvYPsip1s6ERERzRC/8JaQHjJys7s9/j+hU7WUuh6Bb3+YXnlyekVERERTsHupjLq3wL9e/sQL1okqA1SzgUxOr4iIiGiK1i6QEDMPKLLD/yd0mqZS3yPw1yaBA8s5vSIiIqKpkyQJu6Jk/LNFoPmdbadYTlOw/lRtwAIvYAenV0RERGQjvw+X4eMBfPXMtlOsGdtW9Hq98WvjW4FLjSPTq0/cOb2iEXq9HqdOnTJmhWg05oMmwowQAMzxkKCNlPF1rYL3w2OnWHq9HkePHp1URkwKVkNDAxISEhAZGYn4+Hg8ffrU5EWKoiA3NxfR0dFYvHgxMjMzMTg4aLx++vRpREdHIyoqCunp6ejp6TFekyQJMTEx0Gg00Gg0KC8vH3dhowvWiSoD5nsBOxfP2D5I00Cv1yM/P5+bI42L+aCJMCP0wRdLZHTpgavPTQvWsWPHbFOwsrOzkZWVhfr6euzfvx9ardbkRSUlJaisrERlZSWePXsGWZZRUFAAALh9+zZKS0tRUVGBmpoaxMXF4eDBg2NeX15ejurqalRXV2Pt2rVmF6jrk3CxUWA/p1dERERkB5GfSvhVoIQiG57sPqZgdXZ24uHDh8jIyAAAbNq0Ca2trWhsbBzzokePHiElJQWzZs2CJElYv349Lly4YLy2Zs0a+Pj4AABSU1ON1yajsNYdP/8EyOL0ioiIiOxk91IZ3/1X4N+dtilZ7qMftLa2QqVSwd195NuSJEGtVqOlpQXh4eHG58XFxeHs2bPYvXs3vLy8cPXqVeh0OuO14uJivHr1CgEBAbh06RLevXuH7u5uzJs3DwCwbt06DA8PY926dcjLy4O3t7fJwj4c+lVW149D8Qq6XhkAAJ6envD09LTJhyfn1tvbO+Yr0WjMB02EGaHR1vgJqOVh/Pk7CWfXjvSgD9mYzEGk7hM/xZRWq0VzczMSExPh5eWFlJQU3Lp1CwCQnJyM3NxcbNiwAW5ubkhPTx/5QT+UtubmZqjVavT19SEnJwd79+5FcXGxyc8YGhoa+VD7Q3EcwPHJLJR+EoKDg6d7CTSDMR80EWaERmsBcPlH3xt9n7mlJDGqlnV2diI8PBzd3d1wd3eHEAIqlQr3798fM8H6scuXL+PMmTPj3rD+4MEDbN68Ga2trSbXKioqkJWVhSdPnphcUxQFOp0OHh4ekKT/33vFCRYRERE5ko+Pz5guYokxE6z58+cjNjYWFy9ehFarxbVr1xAUFGRSrt6/f4+BgQHMnTsXr1+/xsmTJ5GXl2e83t7eDpVKhf7+fhw+fBj79u0DALx58waenp6YPXs2FEXBlStXsGLFinEXJssyQkNDrfowRERERDPBmAkWANTV1UGr1aKrqwu+vr4oLS1FTEwMduzYgbS0NKSlpaGjowNJSUmQZRmKomDPnj3IyckxvkdMTAwURcHg4CC2bduGQ4cOQZIkVFRUIDs7G5IkYXh4GLGxsSgoKDDem0VERETkCkwKFhERERFNzbScfWDJYaYAoNPpkJSUBD8/P2g0GpPrJSUliIiIQFhYGHbu3Gm8MZ6cn6UZAT6eg3v37sHLy8t4qK1Go8HAwICjPgLZkaX5MLdHcP9wXVPNB/cO12dJRqbcQcQ0SE5OFqWlpUIIIcrKysTKlSvHfV5XV5coLy8XN27cEMuXLx9z7fnz50KlUon29nahKIrYuHGjKCoqsvfSyUEszYi5HNy9e9ckN+QaLMmHuWxw/3BtU80H9w7XZ0lGptpBHF6wOjo6hI+PjxgaGhJCCKEoiggICBANDQ0ffc14Yc/PzxfZ2dnGxzdv3hSrV6+2z6LJoazJiLkccJN0TZbmw1w2uH+4Llvkg3uHa7O2h0y2gzj8V4TmDjO1RktLCxYuXGh8HBISYvV70MxkTUYmykFTUxNiY2MRHx8/7nlr5HwszYe5bHD/cF22yAfAvcOV2aKHWLKHTOqgUSJnEBsbi7a2Nvj5+aGtrQ2pqanw9/fHli1bpntpRDSDce8gW3DIBOv8+fPGGwXv3LmD9vZ2DA8PAxg5fr6lpQVqtdqq91Sr1WhubjY+1ul0Vr8HzRyTzYi5HPj6+sLPzw8AEBQUhK1bt457GC45l+DgYIvyYS4b3D9cly3ywb3DtVmaEXMs2kNs91tNyyUmJo65uSwuLs7s88f7/WdTU5PJDWaFhYX2WjI5mKUZMZeDly9fCoPBIIQQore3VyQkJIiSkhKHrJ/sy5J8mMsG9w/XNtV8cO9wfdb0kMl2kGkpWLW1tWLVqlUiIiJCxMXFicePHxuvZWZmiuvXrwshhOjr6xOBgYHC399feHh4iMDAQHHgwAHjc8+dOydCQ0NFaGio2L59uxgcHHT4ZyH7sDQjQnw8B4WFhSIqKkosW7ZMREVFiSNHjghFURz+Wcj2PpYPS7Mx0TVyblPNB/cO12dJRqbaQXjQKBEREZGNTctBo0RERESujAWLiIiIyMZYsIiIiIhs7H/1m/tnjY0cXgAAAABJRU5ErkJggg=="
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "一部を拡大するとカクカクしてしまう"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot(t->cos(14t)cos(t), t->cos(15t)sin(t), 0, 2pi, aspectratio=:equal, marker=:circle, legend=:none)",
"execution_count": 8,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 8,
"data": {
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "複雑な関数でもサンプル点数が変わらないためカクカクになる"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Plots.plot のソースファイルでカクカクの原因を確認\n\nこのあたりの @recipe で関数からサンプル点を求めていると twitter で黒木さんから教わった。https://twitter.com/genkuroki/status/984086197164060672\n\nhttps://github.com/JuliaPlots/Plots.jl/blob/1ed7899296f668c644e41a5de02701db2fffc2ac/src/series.jl#L512-L521"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 一次元関数の場合\n\n対応するソースコード:\n\n```julia\n@recipe function f(f::Function, xmin::Number, xmax::Number)\n xs = adapted_grid(f, (xmin, xmax))\n xs, f\nend\n```\n\nadapted_grid でサンプル点の x 座標を求めて、それらの点の f の値をプロットしている。\n\nadapted_grid のソースはこちら:\n\nhttps://github.com/JuliaPlots/PlotUtils.jl/blob/fb8404578c21834a48d5984b0ea8e260b5052cd0/src/adapted_grid.jl#L15-L21\n\n曲率の大きなところに多数のサンプル点を取るように、最適化されたサンプル点を求めている。\n\nサンプル点数を増やしてカクカクしないようにするには max_recursions や max_curvature を Plots.plot から指定できたら良かったのだけれど、現時点ではそういうことはできない。\n\nまた、adapted_grid には以下の問題がある:\n\n* curvatures を求める際に使っている max_f が「関数値の絶対値の最大値」なので、同じ形のグラフでも関数値がゼロから離れているだけでカクカクしやすくなってしまう\n* adapted_grid でサンプル点を決めるために関数値を求めているのに、グラフを書く際にはその値を使わずもう一度関数を呼ぶので効率が悪い\n* 境界値である xmin, xmax にサンプル点が取られない"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## パラメトリックな2次元曲線について\n\n対応するソースコード:\n\n```julia\n@recipe f(fx::FuncOrFuncs{F}, fy::FuncOrFuncs{G}, umin::Number, umax::Number, n = 200) where {F<:Function,G<:Function} = fx, fy, linspace(umin, umax, n)\n```\n\numin から umax を n 等分し、それらに対応する点をプロットしている。\n\nn のデフォルト値は 200 だが、これを増やせば、よりスムーズな曲線を描ける。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot(t->cos(14t)cos(t), t->cos(15t)sin(t), 0, 2pi, 600, aspectratio=:equal, marker=:circle, legend=:none)",
"execution_count": 9,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 9,
"data": {
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "したがって、単にスムーズな曲線を描きたければ n を増やすだけで良いのだが、\n現状のコードには以下の問題がある:\n\n* 曲率の大きなところも小さなところも同じ間隔で計算するため効率が悪い\n* サンプル点数のデフォルト値が 200 固定なので、その都度 n を指定してやる必要がある"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# より柔軟な関数プロット手順を考える"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "* プロットされる範囲を意識して曲率を評価する\n* パラメトリック曲線の描画でも曲率を元にしてサンプル点を決める\n* サンプル点を決める際に求めた関数値を、プロットする際に再利用する\n* 境界点 xmin, xmax にサンプル点を配置する\n\nを指針とした。"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## ソースコード\n\nアルゴリズムは以下の通り:\n\n1. 始め initialdivision+1 個のサンプリング点を等間隔に配置する(initialdivision 個のセクションに分割される)\n2. 3つずつ点を見ていって、折れ曲がり量が maxbending を越えれば、それらの点に挟まれる2つのセクションを2等分するようにサンプル点を増やす\n3. 2.の操作を maxrecursion 回繰り返す\n\nこの方針により、\n* すべてのセクションで maxbending により指定されるより小さな折れ曲がりが実現されるか\n* セクションの幅が (pmax-pmin)/initialdivision/2^(maxrecursion) となるまで\n\nサンプル点が増やされる\n\n\n折れ曲がり量の評価は、隣り合う3点 $\\boldsymbol{p}_1,\\boldsymbol{p}_2,\\boldsymbol{p}_3$ を繋ぐ2つのベクトル $\\boldsymbol{v}_1 = \\boldsymbol{p}_2-\\boldsymbol{p}_1, \\boldsymbol{v}_2 = \\boldsymbol{p}_3 - \\boldsymbol{p}_2$ をのなす角を $\\delta$ とすると、\n\n\\begin{align}\n\\sqrt{2(\\left|\\boldsymbol{v}_1\\right|\\,\\left|\\boldsymbol{v}_2\\right|-\\boldsymbol{v}_1\\cdot\\boldsymbol{v}_2)}\n&=\\sqrt{\\left|\\boldsymbol{v}_1\\right|\\,\\left|\\boldsymbol{v}_2\\right|}\\sqrt{2(1-\\cos\\delta)}\\\\\n&=\\sqrt{\\left|\\boldsymbol{v}_1\\right|\\,\\left|\\boldsymbol{v}_2\\right|}\\sqrt{2(\\frac{1}{2}\\delta^2-O(\\delta^4))}\\\\\n&\\sim\\underbrace{\\sqrt{\\left|\\boldsymbol{v}_1\\right|\\,\\left|\\boldsymbol{v}_2\\right|}}_\\mathrm{geometric\\ mean}\n\\delta\\\\\n\\end{align}\n\nとして評価される。折れ曲がり角に長さの相乗平均を掛けてあるのは、同じ曲がり角でも長いベクトル同士の折れ曲りはより目に付きやすいためだ。\n\nまた、$\\boldsymbol{p}_1,\\boldsymbol{p}_2,\\boldsymbol{p}_3$ は絶対座標ではなく、表示範囲に対する相対座標で取る。\nなぜなら、例えば縦軸の長さが1,000、横軸の長さが0.001のグラフでは、横方向の $10^{-4}$ の違いは重要だが、\n縦方向の $0.1$ の違いは無視できる。このような違いを考慮するため、絶対座標をグラフ表示範囲で割った相対座標で折れ曲りを評価する。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# Copyright (c) 2018 Osamu Takeuchi <osamu@big.jp>\n# Released under the MIT license\n\nmodule FuncPlot\n\n using Plots\n\n ######## structure to represent a sample point\n\n mutable struct Point\n p::Number # parameter\n v # value corresponds to the parameter p\n next::Int # index of the next point in the points array\n shoulddivide::Bool # sould divide this segment (from this point to next point)\n function Point(p::Number, value, next::Int)\n return new(p, value, next, false)\n end\n end\n hasnext(point::Point) = point.next > 0\n next(points::Array{Point, 1}, point::Point) = points[point.next]\n\n\n ######## calculate sample points\n\n # calcvalue(p)\n # should return a single point from the parameter p\n #\n # pmin, pmax\n # defines parameter range\n #\n # initialdivision\n # the region from pmin to pmax is initially divided into (initialdivision) segments\n #\n # maxrecursion\n # the curve is scanned by the function `shoulddivide` (maxrecursion) times\n #\n # shoulddivide(p1::Point, p2::Point, p3::Point)\n # should return if the segment from p1 to p3 should be divided\n # if it returns true, the two segements [p1, p2] and [p2, p3] are divided into halves\n #\n # returns calculated points in the form `Array{Point, 1}`\n\n function adaptedpoints(calcvalue::Function, pmin::Number, pmax::Number, \n initialdivision::Int, maxrecursion::Int, shoulddivide::Function)\n\n # prepare for equally separated (initialdivision+1) points\n\n points = Point[]\n pdelta = (pmax-pmin)/initialdivision\n for i in 0:initialdivision\n p = (i == initialdivision) ? pmax : pmin + pdelta * i # 末尾を pmax に合わせる\n push!(points, Point(p, calcvalue(p), length(points)+2))\n end\n last(points).next = -1\n\n for recursion in 1:maxrecursion\n shouldbreak = true\n\n p1 = first(points)\n p2 = next(points, p1)\n while hasnext(p2) > 0\n p3 = next(points, p2)\n if shoulddivide(p1, p2, p3)\n p1.shoulddivide = true\n p2.shoulddivide = true\n shouldbreak = false\n end\n p1 = p2\n p2 = p3\n end\n\n if shouldbreak\n break\n end\n\n p1 = first(points)\n while hasnext(p1) > 0\n p2 = next(points, p1)\n if p1.shoulddivide\n p = ( p1.p + p2.p ) / 2\n push!(points, Point(p, calcvalue(p), p1.next))\n p1.next = length(points)\n p1.shoulddivide = false\n end\n p1 = p2\n end\n end\n\n points\n end\n\n\n ######## plot a function with a single argument\n\n function funcplot!(f::Function, xmin::Number, xmax::Number; \n initialdivision = 21, maxrecursion = 10, maxbending = 0.01, \n xlims=false, ylims=false, other...)\n\n # we need plot region to evaluate amount of bending\n xwidth = abs( xlims==false ? xmax-xmin : xlims[2]-xlims[1] )\n ymin = ylims==false ? Inf : ylims[1]\n ymax = ylims==false ? -Inf : ylims[2]\n\n function calcvalue(x)\n try\n y = f(x) # may cause exception\n if ylims==false # we need plot region to evaluate amount of bending\n ymin = min(ymin, y)\n ymax = max(ymax, y)\n end\n catch\n y = NaN\n end\n return y\n end\n\n function shoulddivide(p1, p2, p3)\n if !isfinite(p1.v) || !isfinite(p2.v) || !isfinite(p3.v)\n return true\n end\n \n # amount of bending is evaluated relatively to the plot region\n ywidth = abs(ymax-ymin)\n xw = xwidth != 0 ? xwidth :\n ywidth != 0 ? ywidth/10 : 1\n yw = ywidth != 0 ? ywidth :\n xwidth != 0 ? xwidth/10 : 1\n dx1 = (p2.p-p1.p)/xw\n dy1 = (p2.v-p1.v)/yw\n d1 = sqrt( dx1^2 + dy1^2 )\n dx2 = (p3.p-p2.p)/xw\n dy2 = (p3.v-p2.v)/yw\n d2 = sqrt( dx2^2 + dy2^2 )\n\n # sqrt(2(|v1| |v2| - v1⋅v2)) = sqrt(|v1| |v2|) sqrt( 2(1 - cosδ) ) ∼ gmean(|v1|, |v2|)δ\n # here `gmena` represents geometric mean\n # `abs` is needed to avoid domain error caused by calculation errors\n sqrt(2abs(d1*d2-(dx1*dx2+dy1*dy2))) > maxbending\n end\n\n points = adaptedpoints(calcvalue, xmin, xmax, \n initialdivision, maxrecursion, shoulddivide)\n\n # extract coordinates from points\n x = Float64[]\n y = Float64[]\n point = first(points)\n while true\n push!(x, point.p)\n push!(y, point.v)\n if !hasnext(point)\n break\n end\n point = next(points, point)\n end\n \n if xlims!=false\n push!(other, (:xlims, xlims))\n end\n if ylims!=false\n push!(other, (:ylims, ylims))\n end\n plot!(x, y; other...)\n end\n\n function funcplot(f::Function, xmin::Number, xmax::Number; options...)\n plot()\n funcplot!(f, xmin, xmax; options...)\n end\n\n\n ######## plot a 2D parametric curve\n\n function funcplot!(fx::Function, fy::Function, pmin::Number, pmax::Number; \n initialdivision = 21, maxrecursion = 10, maxbending = 0.01, \n xlims=false, ylims=false, other...)\n\n # we need plot region to evaluate amount of bending\n xmin = xlims==false ? Inf : xlims[1]\n xmax = xlims==false ? -Inf : xlims[2]\n ymin = ylims==false ? Inf : ylims[1]\n ymax = ylims==false ? -Inf : ylims[2]\n\n function calcvalue(p)\n try\n x = fx(p) # may cause exception\n y = fy(p)\n if xlims==false # we need plot region to evaluate amount of bending\n xmin = min(xmin, x)\n xmax = max(xmax, x)\n end\n if ylims==false\n ymin = min(ymin, y)\n ymax = max(ymax, y)\n end\n catch\n x = NaN\n y = NaN\n end\n return (x, y)\n end\n\n function shoulddivide(p1, p2, p3)\n if !isfinite(p1.v[1]) || !isfinite(p1.v[2]) ||\n !isfinite(p2.v[1]) || !isfinite(p2.v[2]) ||\n !isfinite(p3.v[1]) || !isfinite(p3.v[2]) \n return true\n end\n \n # amount of bending is evaluated relatively to the plot region\n xwidth = abs(xmax-xmin)\n ywidth = abs(ymax-ymin)\n xw = xwidth != 0 ? xwidth :\n ywidth != 0 ? ywidth/10 : 1\n yw = ywidth != 0 ? ywidth :\n xwidth != 0 ? xwidth/10 : 1\n dx1 = (p2.v[1]-p1.v[1])/xw\n dy1 = (p2.v[2]-p1.v[2])/yw\n d1 = sqrt( dx1^2 + dy1^2 )\n dx2 = (p3.v[1]-p2.v[1])/xw\n dy2 = (p3.v[2]-p2.v[2])/yw\n d2 = sqrt( dx2^2 + dy2^2 )\n\n # sqrt(2(|v1| |v2| - v1⋅v2)) = sqrt(|v1| |v2|) sqrt( 2(1 - cosδ) ) ∼ gmean(|v1|, |v2|)δ\n # here `gmena` represents geometric mean\n # `abs` is needed to avoid domain error caused by calculation errors\n sqrt(2abs(d1*d2-(dx1*dx2+dy1*dy2))) > maxbending\n end\n\n points = adaptedpoints(calcvalue, pmin, pmax, \n initialdivision, maxrecursion, shoulddivide)\n\n # extract coordinates from points\n x = Float64[]\n y = Float64[]\n point = first(points)\n while true\n push!(x, point.v[1])\n push!(y, point.v[2])\n if !hasnext(point)\n break\n end\n point = next(points, point)\n end\n \n if xlims!=false\n push!(other, (:xlims, xlims))\n end\n if ylims!=false\n push!(other, (:ylims, ylims))\n end\n plot!(x, y; other...)\n end\n\n function funcplot(fx::Function, fy::Function, pmin::Number, pmax::Number; options...)\n plot()\n funcplot!(fx, fy, pmin, pmax; options...)\n end\n\n\n ######## plot a 3D parametric curve\n\n function funcplot!(fx::Function, fy::Function, fz::Function, pmin::Number, pmax::Number; \n initialdivision = 21, maxrecursion = 10, maxbending = 0.01, \n xlims=false, ylims=false, zlims=false, other...)\n\n # we need plot region to evaluate amount of bending\n xmin = xlims==false ? Inf : xlims[1]\n xmax = xlims==false ? -Inf : xlims[2]\n ymin = ylims==false ? Inf : ylims[1]\n ymax = ylims==false ? -Inf : ylims[2]\n zmin = zlims==false ? Inf : zlims[1]\n zmax = zlims==false ? -Inf : zlims[2]\n\n function calcvalue(p)\n try\n x = fx(p) # may cause exception\n y = fy(p)\n z = fz(p)\n if xlims==false # we need plot region to evaluate amount of bending\n xmin = min(xmin, x)\n xmax = max(xmax, x)\n end\n if ylims==false\n ymin = min(ymin, y)\n ymax = max(ymax, y)\n end\n if zlims==false\n zmin = min(zmin, z)\n zmax = max(zmax, z)\n end\n catch\n x = NaN\n y = NaN\n z = NaN\n end\n return (x, y, z)\n end\n\n function shoulddivide(p1, p2, p3)\n if !isfinite(p1.v[1]) || !isfinite(p1.v[2]) || !isfinite(p1.v[3]) ||\n !isfinite(p2.v[1]) || !isfinite(p2.v[2]) || !isfinite(p2.v[3]) ||\n !isfinite(p3.v[1]) || !isfinite(p3.v[2]) || !isfinite(p3.v[3]) \n return true\n end\n \n # amount of bending is evaluated relatively to the plot region\n xwidth = abs(xmax-xmin)\n ywidth = abs(ymax-ymin)\n zwidth = abs(zmax-zmin)\n xw = xwidth != 0 ? xwidth :\n ywidth != 0 ? ywidth/10 :\n zwidth != 0 ? zwidth/10 : 1\n yw = ywidth != 0 ? ywidth :\n zwidth != 0 ? zwidth/10 : \n xwidth != 0 ? xwidth/10 : 1\n zw = zwidth != 0 ? zwidth :\n ywidth != 0 ? ywidth/10 : \n xwidth != 0 ? xwidth/10 : 1\n dx1 = (p2.v[1]-p1.v[1])/xw\n dy1 = (p2.v[2]-p1.v[2])/yw\n dz1 = (p2.v[3]-p1.v[3])/zw\n d1 = sqrt( dx1^2 + dy1^2 + dz1^2 )\n dx2 = (p3.v[1]-p2.v[1])/xw\n dy2 = (p3.v[2]-p2.v[2])/yw\n dz2 = (p3.v[3]-p2.v[3])/zw\n d2 = sqrt( dx2^2 + dy2^2 + dz2^2 )\n\n # sqrt(2(|v1| |v2| - v1⋅v2)) = sqrt(|v1| |v2|) sqrt( 2(1 - cosδ) ) ∼ gmean(|v1|, |v2|)δ\n # here `gmena` represents geometric mean\n # `abs` is needed to avoid domain error caused by calculation errors\n sqrt(2abs(d1*d2-(dx1*dx2+dy1*dy2+dz1*dz2))) > maxbending\n end\n\n points = adaptedpoints(calcvalue, pmin, pmax, \n initialdivision, maxrecursion, shoulddivide)\n\n # extract coordinates from points\n x = Float64[]\n y = Float64[]\n z = Float64[]\n point = first(points)\n while true\n push!(x, point.v[1])\n push!(y, point.v[2])\n push!(z, point.v[3])\n if !hasnext(point)\n break\n end\n point = next(points, point)\n end\n \n if xlims!=false\n push!(other, (:xlims, xlims))\n end\n if ylims!=false\n push!(other, (:ylims, ylims))\n end\n if zlims!=false\n push!(other, (:zlims, zlims))\n end\n plot!(x, y, z; other...)\n end\n\n function funcplot(fx::Function, fy::Function, fz::Function, pmin::Number, pmax::Number; options...)\n plot()\n funcplot!(fx, fy, fz, pmin, pmax; options...)\n end\n\nend",
"execution_count": 10,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 10,
"data": {
"text/plain": "FuncPlot"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 一変数関数"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot(\nFuncPlot.funcplot(x->abs(sin(x)), 0, 2pi, title=\"funcplot: |sin(x)|\"),\nplot(x->abs(sin(x)), 0, 2pi, title=\"Plots.plot: |sin(x)|\"),\nsize=(800,300), marker=:circle, legend=:none\n)",
"execution_count": 11,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 11,
"data": {
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Plots.plot に比べて場所によるサンプル点間隔の変化が大きいみたいだけれど、仕上がりは悪くない感じ?"
},
{
"metadata": {
"trusted": true,
"scrolled": true
},
"cell_type": "code",
"source": "plot(\nFuncPlot.funcplot(x->abs(sin(x)) + 10, 0, 2pi, title=\"funcplot: |sin(x)|+10\"),\nplot(x->abs(sin(x)) + 10, 0, 2pi, title=\"Plots.plot: |sin(x)|+10\"),\nsize=(800,300), marker=:circle, legend=:none\n)",
"execution_count": 12,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 12,
"data": {
"image/png": 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v/Gtbkqqff21LS3l5eZ3HGzRoENzd3VFcXIwJEybUO9i7rKysUdM5xsbG1hhQf/r0aaSkpGDSpEk1PmvoeaiNtpaqtrRSXFwMxliDByASYiuioqKwb9++Jn3X0M/eb775BkuWLMHGjRurWjDc3d3x3HPPYcmSJQ1+BhkiTxEEAS1atNB7DMZYk176DWH27Nnw8fHBxx9/jGXLluG9996DXC7H8OHD8cEHH1QN9K+PofOUmJgYzJs3D6IoYurUqXXOwKmdPKUxecrkyZNrFAgPHTqEw4cPY8aMGTUKSM1dgLEhecr94yxJw1EBxAZpm7arz06iZYjmRO1DoDGZzo0bN+rcXlsTqJb2QXrjxo0aLSmcc9y4caPWApQpxMTEVDVt//TTT1AoFPjss88QHR2N9PT0Zk8QUJ02w6xvzYznn38excXF8PHxwfLlyzF+/PhaCwGiKKKoqAjdunVrcDhiY2NrTB6wfv16pKSk6M1ImqtTp04AgIsXL9b4TK1WIzMzE0FBQTW6/xFCms7Qz15nZ2csXrwYixcvRmZmJg4ePIhPPvkEK1asQFlZGVavXt2g4xgiTxFFETdv3kTLli11PsvPzwfn3Gx5CmMMzz//PJ5//nncvn0bP/74I77++mts2bIFFy9exB9//AGZTGaw32tInqJUKqvWkvH09MSCBQvw5JNPVrWo3E97LH0FvNroayVPTEzE4cOHMXPmzBqVWs1VPU+5v7Xo+vXruHfvHh566CGD/qYtoS5YNkhbYtdXQKivWbohHnzwQQiCgIMHDza46TwnJ0fvfNo//vgjAE1zel20n+ubRvf48eMoLy/XebnWPpxNvRKrm5sboqOjsWbNGkyePBk3btzA8ePHDfob3bp1gyAIOn147/fRRx9h586deOaZZ7B//34AwPjx42tdlOnixYsQRRE9evQwaFgNacCAAQBQFZ/qjh49ipKSkqp9CCGGYcxnb1BQEJ5//nkcPnwYrq6u2LFjR4PDderUKdy7d6/GdkPkKdptlpCn+Pj4IDY2Fps3b8bjjz+OtLQ0g09tq33u15WnzJs3D7///jvmzZuHDRs2oKCgABMnTqx17Sjtsaw1T/n222919iGNRwUQGxQZGQnGGDZt2qTTpHrx4sWqaQWbo1WrVoiPj6/qV3y//Pz8Gq0varUa8+bN05ny9o8//sCGDRvQokULDBs2rM7fnDBhAuRyOd5//31cvXq1antlZSVef/11ALq1J15eXmCMITc3t9ZjpqenIz09vc7fbYgjR47ozZTy8/MBAI6Ojs3+jeo8PT0RGhqKEydO6H34nz17FrNnz0b79u2xatUq9OzZE2+99RbS09OrplC8n7aQZMkP2+DgYPTv3x8HDx7E3r17q7ZXVlZi4cKFAIApU6aYK3iESJIhn703b97E2bNna2wvLCxERUVFjWdlXc/oO3fu1BhA/+233+L7779H9+7d9Y5/qG7SpEkANOt6VO9qVVRUVJWvafcB/h7TUFueolQqkZ6ejsuXL9f5uw1x6NChGtPDK5XKqlYFQ+cpPXr0gLe3d62VZQcOHMCyZcvQp08fJCQkYMSIEfjHP/6BQ4cO1ToOxBrylEGDBqF9+/bYuHGjznifoqIiLFmyBPb29gZZmNFWUV8EG9S6dWuMHz8eGzduRGRkJKKjo5Gfn49t27YhOjq6xkJGTbFq1SqcPXsWb731Fvbs2YPHH38cnHNcuHAB+/fvx40bN3S6HYWGhuLo0aPo1asXBg8eXLUOiEqlwpo1a/TOIFVdhw4dqtYXCQ0NxZgxY+Di4oKdO3ciIyMDMTExVc3DgGbWjl69euHIkSOYOHEiOnXqBEEQMHHixKpuBF26dAHQ/HVApk+fjqtXr+LRRx9FYGAgGGM4evQofv31V/Tp0wePPvpos46vz6hRo5CQkIBjx47hkUceqdpeXl6O8ePHQ6VSYePGjVXjIWbNmoX9+/fj008/RVRUVI155A8cOAC5XI4RI0YYPKx1mT17dtUgxdTU1Kpt2sGlU6ZM0Tl/q1atQt++fREbG4uxY8fCz88Pu3fvxrlz5/DPf/5T51wQQprPkM/ewsJCREREICwsDKGhoWjTpg1u376NlJQUKJVKzJ49W+e363pG9+vXDx9//DGOHz+OPn36ICsrC9988w2cnJywdu3aeuPVv39/vPrqq1i5ciW6d++O+Ph4cM6RnJyMvLw8TJ8+Hf3796/aPyQkBK1bt8amTZvg4OAAf39/MMbw6quvwsPDA1euXEGXLl0Msg5IbGws3N3d0adPHwQEBECpVOLAgQNIS0vD6NGj9U7o0hyMMcTExGD9+vXIy8vT6VZ169YtTJo0CW5ubti4cWNVF9f33nsPhw8fRkJCAgYNGlRj3ZUDBw7Ay8tL5xyaQvXC8LVr12psmzt3btXkM3K5HGvXrkVUVBT69++PcePGwc3NDcnJycjOzsZ7771n8G5fNsVM0/8SE6htHRDONWtITJ8+nbdq1Yo7ODjw0NBQ/tVXX9W5Dkhtaz3U9jtFRUV84cKFPCQkhDs4OHAPDw8eHh7O33jjDV5ZWVnj2Lm5uXzs2LHc29ubOzo68ocffpjv37+/xnH1zUWvlZKSwgcMGMDd3Ny4g4MD79GjB1+2bJnetR8yMjL4sGHDuKenJ2eM1TgmDLQOyKZNm/iYMWN4hw4duLOzM/fw8OBhYWF86dKl/O7duzr71rUOiL741ramy5UrV7hcLufTpk3T2f6Pf/yDA+CLFy+ucayrV69yX19f7uXlpTOff0lJCXd1deWxsbF642zMdUACAgKqroO+f/rWsklPT+ejR4/m3t7eVWngo48+0lljhhBS9zog+hj72VtYWMgTExN5//79uZ+fH7e3t+etW7fm0dHRfO/evTWOo+8ZXX2dkbNnz/Jhw4Zxd3d37uLiwgcPHqx3TQd964Boff7557xXr17c2dmZOzs78169evHPP/9c7/k5duxY1TnQhk17TEOuA7Jq1So+cuRIHhAQwB0dHbmPjw9/6KGH+Mcff6yTt2rPUW3rgOiLb23X+Pjx4xwAX7p0qc72ESNGcAD8yy+/rHGs1NRU7ujoyNu3b8+Li4t14sUY4zNnztQbb335aG0auw5IXflJbWn7+PHjPDo6mru7u3MnJyf+0EMP8U2bNjXo90jtGOfNrN4lpJkYYxgwYIDevrbWhjGGSZMmNXrNEWOYOHEidu/ejezs7GbN/LR27Vq8+OKLOHz4sN7aqsDAQAQGBkri+hFCrJt2xXFLeQ43hzYuCQkJFjGlbL9+/XDz5k2kpaXVWKelMRYsWIB33nkH58+f1zstsSXlo8R4aAwIIRK1ePFilJWVYeXKlU0+hkqlwpIlSzBy5EiTN5UTQgixHO+++y4yMjKwadOmJh+jsLAQK1euxLRp0wyyJgqxXjQGhBCJCggIwBdffFHrdJQNkZOTg2effRYTJ040YMgIIYRYmz59+mD16tXNmukrMzMT//rXv/Dqq68aMGTEGlEBhBAJGzNmTLO+3759e4to+ieEEGJ+U6dObdb3e/bsiZ49exooNMSaUQGEmJ2UhiElJCQ0e0VvazNz5kyDLqRICCFNFRgYKJk8xdPTEwkJCQZftNXS2WI+aotoEDohhBBCCCHEZGgQOiGEEEIIIcRkLLYAwjlHcXGxZJpSCSGEmAblH4QQYtkstgBy9+5deHh44O7du/XuW1RUZIIQmZYU4wRQvKyJFOMEULxsQV35h5TPE8XNOlHcrBPFrXkstgDSGM2ZEs5SSTFOAMXLmkgxTgDFy9ZJ+TxR3KwTxc06UdyaRxIFEEIIIYQQQoh1oAIIIYQQQgghxGR0CiDTp09HYGAgGGM4ffp0vdv1+eyzz9CpUyd06NABL774IpRKZYM+I4QQYr0o/yCEENJQOgWQ0aNH4+jRowgICEBDtt8vMzMTCxcuxI8//ohLly7hxo0bWLNmTb2fEfNQKBQIi4iEk7MLwiIiMWfOnDr/VigU5g4ysTGURq0H5R+26/77lO5DYukozZqfTgGkf//+8Pf3r7FTbdvvt3XrVowcORIPPPAAGGN4+eWX8fXXX9f7GTE9hUKB+Ph4pCp9UD4iEX/cVuHdd99FaqW33r9TlT6Ij4+nm5SYDKVR60L5h226/z6l+5BYOkqzlsGgY0BycnJ0arkCAwORk5NT72d1KS4u1vlXUVFhyCDblOol/qefnQzWdTD49F3AkJkAkwFdBoHP2K33bz59F+AfiqefnUw1BsRoKI3aLso/rFPim28BXYdU3ad8+i6wroOxaPEScweNEL2S3nwLrBulWXOTmzsA9Wnbtq3O33PmzMHrr7+us62wsNCUQTIJQ8dp586dmDx5Mli3weAjEgHFPKDbUIAxzQ7XM4CYxNr/PrUdyPsD5V0GAd2jkJq2H/Hx8Vi/fj2efPLJBodDitcKkGa8TB0nU6VRKV4rwDTx8vb2NvpvGJK+/GPq1KlmCo3xmTptpxcLOHs+HRiZ+Pd9yBh4t6FI35WIgoICg/2WVO9bgOJmSiIH0tLTwZ9MbHaatbS4GZIx4nZ//mHQAki7du1w+fLlqr+zsrLQrl27ej+rS25uLtzd3av+dnBwgIODQ439rC1jbAhDxun95R/+XeJnDDj+NXD2W2DwDM3fDwTX/feet4Eug4CZezQ36+AZYCuG44MVKzFp0iSzxcuSSDFepoyTKdOoFK8VYN3xMlX+UVJSYtXnqT6miJvIOT48K2LubyLsWwejMu0AuPY+5Bw4ux/2bUJw184LAW7MYL9L1806WUrcLhZxTDmihqplMHDuwN95x19pFn4hyONeCPVpeJq1lLgZg7HjZtAuWPHx8dixYweuX78Ozjk++eQTjBs3rt7P6uLu7q7zT1/hg9TvQkY6eNchf5f4h80Fzn8PfBANHFgOiGrg/Pdgy4fp//tKKtA9qkaNQUb6efNFikhKBqVRm0b5h3XIu8cxdI8a/zomYloXAeuXzgc/dwBsxXDgwHLN/+e/g/2Iuei2VYWVZ9UQOTd3sIkNU4kc755RIzRZhbwSjsSF84C0mmm2VfxcPJSiwkfn1OCUZo1OpwDy0ksvwd/fH3l5eYiKikLHjh3r3A4AU6ZMwY4dOwAA7du3R1JSEvr27YuOHTuiRYsWeOmll+r9jBiHtj+9o7MLlBCAc/s1JX0AiIgF/EPhmHsCjrsSEdbCDnPmzEGo4x29fzs6OoFV/z7nwC9fAoKM+tuTJqueRis5pVFrRvmH9H19SUSPZBXSizi+GybDBw/LMO6peCQnJyPUoRCOuxIR6lAIhUKBP5eOxrOdBEz/RUS/nWqcL6QXOmJ6qQUcD6eoMfc3Ea90FZA6Wo6EKaP1ptmMJaMxNUTAP38WEXtAjVvllGaNiluooqIiDoAXFRXVu+/t27dNECLTam6ckpOTOQDOug3heOodDv9Qzd9dBnE89Q5nXQdzAFyhUDTueF0H6xwPf/3Nug3hAHhycrJR42WppBgvY8fJ6Gm0jf40un79eqPGy1ykmAabqq78Q8rnyVhxKygX+fjvlRxrKvm475W8oFxs8HcPX1Xzzpsruf3aSv7m7ypeoWr4d6uj62adzBW3CpXIE06ouN3aSt51SyU/dkPd4O/uyFJzny8qeesvK/kPV2r/Hl235mGcW2Y7U3FxMTw8PFBUVKTTh1efgoICyfXDa26cwiIikar0+bs/PefAm73gWJgJiGoEh3RBwsL5GDVqVIOPqVAosGjxEk2XFkGG8oDewIzdVcdnK4Yj1KEQp0+eMFq8LJUU42XsOJkrjXaV38LZM6eMFi9zkWIabKq68g8pnydjxO37KyImH1bjrhL4uK8M4zs2vud2uYpj0SkR75wR0dUL+Ky/DL1aNO44dN2skzni9ttNEc8fViP9DjA3XMCCCAEOssaNRbpSwjHxoBqHrnHMCxeQECnATtA9Bl235jHoGBBiOWr0p2cMePgZQFSjrLQEp0+eaNSLHQDExcXh9MkTKCst0fS/rz5DEfW3J42UbqY0euniBQPHhBDpKVdx/N8vagzeo0ZnD4bUeHmTCh8A4ChnWNJLht9i5ZAzoE+KGrOPqVGqssj6T2KlylQcrx1Xo0+KGvYy4MQoOd58UNbowgcTV89gAAAgAElEQVQAtHFhODBMhsUPCnj7jIgBO9XIukvp1ZCoACIh1ddQUN0/5oNzsHP7Edyli0F+q3NwCFjaAepvTxpFZ1zS/WM+TJVGmUBplJA6nL7N8eB2FVadF/F+HwEHhsnQ1rX5s1lF+DL8GivHkgcFfJQmosdWFZI+3UorUpNmO3JNRGiyCivPiXjrQQHHY+QIa8RsVvrIBIZ5ETIcfVKGa6UcYckqbL4sGijEhMaAWKjGxsnQ/ekb/HuNHBMixWvFuTTjZeg4mT2N1jImpL5xS9ZCimmwqWgMSNOo1CJ/+5Sm33zY1kqeertp4zUaIqNQ5F3nbvnrnhxS7z1J1806GTtuxRUif+WoimNNJe+bouTphcZJs3cqRD72O804qOcPKflXm7fybj3CuKOTMw8N7ymZfETLFGmSCiAWqrFxCg3vqXl4r67gWFOp+d8/lDu6uHFHJ2ceFhFpsBc7reTkZB4WEckdnZy5o4ub5sWu2u+zroN5WESkznekeK04l2a8DB0nc6dRB+eGpVFrJcU02FRUAGmY5ORkHhrekzs6OfOQ0J68y9wtnK2p5HOOqXh5EweLN0ZoeE/Oug5p0D1J1806GaMiS5tmg7r15D4zN3OXzyv5h6kqrhaNm2ZFUeSfp6u5/T8261RuSa0yi3PTpEnqgiURNdb5MEB/+vrQmBDSGOZOo4xTGiVES6FQID4+HqlKH5SPSES6ygfn3x6DRUIKlvZuWr/5xrqQkQ7ebQjdk6RB7k+zmdwHt5ePxXv2O/BqdxkEZtw0yxjDc8ECgn5cCnQdAj5jNzBkJvj0XWBdB2PR4iVG/X2poQKIRHQODtGs7Gmk/vQN+f37+9ub8veJ5QvqTGmUEEuR9OZbYN2GaGahGzITmKF5idr60dsmCwPdk6Qxakuznyz7j0nDkX0xHaCCc7NRAUQihk79d42VPXnad0hYMN8kv5+wUHc1XCw37e8Ty8Y5h+vIuRaSRodRGiU2T1+LpKlfoijfII1hCWkWoIKzoVABxIpVn1Hog6VL0OmpWTVW9jR0l5baxMXF6aws6qYsgPPwWViYtJhmN7Fh2jTq4OyK3774D2KnzjZ7Gu0qvw2HXYkQSgsQOm42EhdRGiW2p3NwCJgZWySBmvmGHwogTNuC0EGxJgsDsR7m7umhRZVZBmL0USZNRIPQ645TjRmFulrWIKg1X23VO7sJrUJtPZobJ0tNo9p4vbTim78GEtY/A481kGIabCoahF6/zd9s1Z0VzsCz0DVFqVLkrb+s5M/8oKzxGV0362TIuM1a9Y3u4G8zptnk5GTeLTSc2zk6cwT05AvWbDV5GIyJVkKnldBr/VzfKtINWYncVMIiIpFa6QM+YxetQm2lmhsnS02j2niFRUTij0ofYIZlha+ppJgGm4pWQq/f2nQRL67Yis4/v4Oci+cRHNIFCQvnm6xFsjYfp6nxj59EpMbL0c3770HFdN2sk6HiJnKOCIUKOLkdbO9SZKSbP80WFBTAy8sLj+xQgwH4aaQMzMgD4U2FVkIntbKUvpC1qW12E1qF2nZYQxqlgYTEFlWqOd48pcaY0XHIOHPCaLPQNcULwQICXIE3flebOyjEguzM5vijAFj5z/iqmQ0tIc0yxrAgQsAv+Rw/XLXI+nyLRQUQK2UpfSFrU9sgrU6dOps3YMRkrDWNWkr4CDGWdRdE5N4DEnrKzB2UGuxlDImRMiiyOH6/SS90RDOJyZunRPR/gKG/n+W9tg5ry9DTF1h8ilZJbwzLu5KkQebOmwekHQDMNKNQfWqb3eS1Wf8yd9CIiTzxknlnZqtPjTRqYeEjxBgq1BxvnRIxtgNDVy/L7C7yTEeGEE9gwQlqBSHAvjyO329xLOxpma+sjDEsCJfh0DWOo9epENJQlnk1Sb2uBMdCmLYZXezMM6NQfarPbmK/KxEoLcCU5VsxYsQIcweNmIDIOfa1iEH3f28x26xX9ameRuU7E8FKCrB2Y7LFhI8QY/gsQ8SVUsts/dCSCQyLImXYl0cvdLaOc443T4ro05JhUGvLLDADQEwgQ3cv4M2TlF4bSm7uAJDGu6fkWHpGxJTx8Vi9aoy5g1OruLg4xMXFAQAmHVJh9xWORPVdM4eKmMK2LI4zBcCRV+PRb8lT5g5OrbRptKiSI/BrFc4EUJ0Mka5yFceS0yLGd2AI8bTclzkAiA9iCPcB5v8m4tAIyw4rMZ4frnL8ks+xO8qyB3gLjGF+hAzjf1Dj13wRD7WkvKQ+dIas0MpzIooqgfkR1nP5FkbIkF8GrP/TztxBIUamFjkSfldjSBuGfhbYX1cfD3uG2aECVp8XkXuP+p0TaVqbIeJaKfBGhOW2fmgJjGHxgzIcuc5x4Ardk7Zq8SkRkb4MT7S13MKH1lNBDMEeNBakoazj7YBUKa7kePcPES+GCGjnavk3pFZHD4ZJnRhWZNijREmZiZR9k8lxrhBYFGldj5fp3QS42QFLTlPmQaSn7K/Wj2c6MnS28NYPrWFtGR5uyTD/NxGWuWAAMaaj10UcusaxIEKw6NYPLZnAMC9chp05HKdvU4Ktj3W9IRCsOCuiVAXMC7e+S7ewpwyFlQyr0ugFT6rUIkfi72oMa8vQp5V1pVE3e4Y5YQI+yxCRdZcyDyIta9JF5JdpWqOtBWMMb/UScOIWx56r1GPc1rx5UkQPb2BkgOUXPrQmdGRo7wYsPkUTKNTHut4QbNydCo5lqSJe7iKgjYv13JBagW4MzwQqsfSMiLuV9IInRV9f5sgoApKsrPVD6x9dBXjaA29R5kEkpFTF8fZpERM7MXT0sK68Y2BrAYNaM/wnzR5qkfINW/Frvoj9VzgWhMsgWEHrh5ZcYPh3uAzJmRznCii91sU63xJs1PupIirVwNww671s/wqpxF2lZhwLkRaVyJF0Uo2RAQwPtrDONOpixzA3TMC6CxyXiynzINLwSZqIm+XW1fpR3Vu9BJwvlmHzn3RP2oo3T4kI9tBMRmBtnu3E0NYFWHKaKrLqYp1vCTbodjnH8rMiXukq4AFn67shtfydOV4MEfBeqogiagWRlA0XOS4VA0mR1vmSo/VyVwEtHIE3T1LmQaxfiZJj6R8iJndmaO9unXlH75YCov1USPhdDSW1gkjeqVscu3I45kfIIBOsL83ayxheDxOw6U+Oi0WUXmtDBRArsSxVhMiB16249UNrXriAUpVmPAuRBqXIseik+q+pM60vw6jOWc4wL1zAhkscF+5Q5kGs26o0EQXlwAIrbf3Q+nfXClwqBr64QPek1C0+pUYHd2B8B+vNS14IFtDKiVpB6mL9b7M24GYZx4dnRbzaTUALJ+u9IbVauzBM6yLg/VQRhRWUmUjB+gsc2feARAte3KwxXgwR4OcMLKKxIMSK3VNyvPOHiOeDBQS6WXfe0d1TxNj2DItOqlGhpnxDqs4WcCiyOP4dJoPcCls/tBzlDK+FCthwkdOkJrWgAogFUygUCIuIhJ+3K8qSeiPkz+3mDpLBvB4moOzXbQgJi4STswvCIiKhUCjMHSzSSAqFAqERkZga5gb3d3rjwqFt5g6SQTjKGeaHC/hqiwLBoZRGiXX6yArXjKpLUqQMV0qB1eep9Vyq3jqtRjtXYGIn6y18aE0NEeDlALxNU7vrJY2nkgTt3LkT8fHxSFX6QP1kIkQXX0weP1oyL0A/79uGylVjkS/zRfmIRKQqfRAfHy+Z+NkChUKB+Ph4nK30AWISUezgK6lr6J22HfhkLC6ofSiNEqtzt1LT+jEl2LrWjKpLsKdmPam3Tou0npQEZdzh2HyZY26YAHuZ9adZFzuGWT0ErLsgIo8WuK2BcW6Zy/sUFxfDw8MDRUVFcHd3r3PfgoICeHt7myhkptE9NBxpYkvw6bsAxgDOwVYMR6hDIU6fPGHu4DWZ9lqFRUQiVekjmfhJMQ3WFydrvYYNvVZhEZFIrfQBn2Ed8ZNiGmyquvIPKZ+n6nFbckqNpJMiLo+Vw18CBRBt3LLucnTeosKiSAFzw6XR5dNW0mR9Jh9S4cAVjstj5XCUW36abUjc7lZyBGxS4ZmOAj58xHrSqynSJLWAWKhLly6Cdx2iefEBAMbAuw1FRvp58wbMQC5kpEs6frZA6tfwQkY6eDfpxo9IV3Elx3upIl4MESRR+Kgu0I1haoiAd/4QcYfGEErGn8UcX17imBMmWEXho6Hc7BlmdhfwabqI66WUXqujAoiF6tixE9i5A4C2gYpzsHP7Edyli3kDZiCdg0PA0qQbP1vQOTgEoDRKiMVZcVZEqQr4d7g0s/j5EQLKVZq1sYg0vH1GDR9HzQQgUvNqNwF2gmY2U/I36V1piXht1r/A0w4Ay4cDB5aDrRgOnvYdEhbMN3fQDCJh4XzwcwfAVmjih+XSip8tePH/5gFpf19DqadRqcWPSNOdCo73U0W8FCKgjYt0apKr83Nm+Gc3AR+cFXGzjGqVrV3OPY71Fzhm9xDgLKHWDy0vB4ZXuwn4OE3ErXJKr1pUALFQHfrHAC9vRoBQCMddiQh1KIRCocCoUaPMHTSDiIuLQ3JyMkIdCmG3MxEoLcB/NyRLJn62ILdzLFxe3YzuDtJPo8KORDhVFEgqfkSalp8VUa4G5kq09UPr9TABDMDSM1SrbO3eOSPCzQ54uYt00+y/emji9gG1glSRmzsARL8NmXZo2XcULvz3KUnMBqFPXFwc4uLiUK7iaL1RhZxO0n34SI1S5Fh/UcQL4+Kx4sMx5g6O0WjTqCJTRPx3anQcQI9MYrnuVGpecKZ1EeDnLM18Q8vHkeH/eghYekbE//UQ0FqirT1Sd62UY22GiAXhAtzspXsNfR0ZpnUVsPKciNmhArwcpBvXhqI3PgtUruLYkmOHSZ2kMRVdfRzlDM90FLD+ogilSM2T1mBnNkd+GTBFgv119RnRjqGlE7A2nWqviOX6+KI9lKKmdcAW/F8PAc5yYPEpui+t1btnRDjKgFe7Sz/NzuohQCkCK89RegWoAGKRtmVx3FEyTAm2ncszJVhAfhmwK5sKINZgbYaI3i0ZenhLv4AMAPYyhsmdBGy4JKJcRWmUWJ6Cco5PLtnjla4CWkm89UPL3Z7h9TDNDEOZxXRfWpv8Mo5PzouY3k2Ah4RbP7QecGZ4MUTA8rMiiispvdrOG64V+TRdxCO+KnT2lP4NqRXqw/BQC4ZPM6hmwNLl3uPYl8ttqoAMAC8ECyisABRZlHEQy7MsVYTIgTk20vqh9c9uAnwdgaSTanMHhTTS+6kiZAIw0wZaP7TmhAooUQKr0uhdx3auupW4VMRx8BrHxCCluYNici+GCNiXy5FLK4ZatM8zRLjYAeM62E4BGQA6ezIM8GPUDYtYFIVCgW7hkVjyqDuc3u6No3u3mTtIJuUsZxh+KwVfTHoIDs4uCIuIhEKhMHewSD1ul3N8lCbiH10FeDvaTl7i78rwXGcBy1JFlCht+12HCiAW5vMLIjzsgSfbqMwdFJMb257BWQ6su0AveJZKLXJ8fkHEuPYMrna2k2loTQkWcPAax6Ui2844iGVQKBSIj49HmtIHiElEgb0v4uPjbeoFXKFQ4LN/PQW4+qJyRCJSlT42dw6s0YfnRKhFzTgeW/N6mKY1fY2NV2bZ3pW3YEqRY12GiGc6CnCSmTs0pudmzzCuA8NnGSLUNBjdIn13hSPnnu0MPr9ffBCDpz3wGXUVJBYg6c23wLoNAWbsAobMBJ++G6zrYCxavMTcQTOZmudgl82dA2tTVMmx4qyIl7sIaOlkexVZQe4MEzsxvPuHbY8ptM23CAu1J4fjepk0VwJtqBdDBOTc07zoEsvzaYaIHt7AQy1sL9MAACftjG0XaMY2Yn4XMtLBuw4B2F/3I2Pg3YYiI/28eQNmQnQOrM9/z2nWqnnNxsYrVTcvXIYbZbZdmWW7V98CfZou4kFfhjAf23y5AzQvtt29QIPRLVB+GUdKlmbwOWO2m0anhAi4XgbszqECCDGvzsEhwLkDAP8rLXIOdm4/grt0MW/ATKhzcAhYmm2fA2tyT8nxQaqIKcHSX6umLp08GMa1Z1h6RkSl2jbzEiqAWIi8exx78zimhNjuDQkAjDFMCRGQksWRX2abN6Wl+t9FzYwlz3S07cdGmA/Dg740GJ2Y35x/zwPSDoCtGA4cWA62Yhh42ndIWDDf3EEzmYSF88HP/X0OsHy4zZ0Da6BQKBAWEQkvd1fcXtgbPbK2mztIZjc/QobcEuB/F23zXce23yQsyPoLmsV4xnegSzKxowCZoHnhJZaBc4616SLiA5lNzVhSmxdDBOzN48ijGduIGdlFjgJe3owQu0I47kpEV/ltKBQKjBo1ytxBM5m4uDgkJycj1KEQDrsSgdICvLhiq02dA0unnSwhVekD1ZOJgKsvXn5mtM1PFNDViyE+iOE/p9VQ2WCXXnrbtQAi5/gsQ8TY9gzuNrAYT328HRniAjU1zJzb3k1piY5e58gost3B5/cb14HBUUYzthHzUmSJ6Dl0FNJOn0BZaQmOHPzeJl+84+LicPrkCZSXlmDIquPI7Bhj7iCRarQTBfDpmokCMIMmCtBaECHDn4e3oX33B+FkY9NI09uEBfj+CkfWPdsefH6/F0MEZBRpXnyJ+a3NENHRHXjMjwrIgGYF5nHtNTO2iVRIJmZQruLYncsRF0j5RnWjAhkOXuUoKKf70lLQRAG1+/PwNuCTschlPii3sWmk6cllAdZmiOjqCfRpSS93WgP8GDq4a84NMa87FRzf/Mnxgo0PPr/flBAB2fc0FQiEmNp3VzjuKUEFkPvEBgoQObCLJomwGDRRQO1seRppenKZkXYF2y3DPFD4Rm9s22ZbK9jWRWAMvfNSsGHSQ3C0sWZJS7Fz506ERUSihacrypJ6o8V5GjRYXZ+WDP4Z2/DUQNtrOifmp8gSEeIJdPGiSoHq/JwZ+rRkUGRR5ZWl0E4UgOXayRJoogAtW24dogKImdy/gu11me2tYFsXhUKBjbOfAnf1RYWNNUtaAoVCgcmTJ+sMGpwygQYNVrdt2zbkLRuLIntfm2s6J+alEjlSsqn7VW3ighi+zeMoUVIriCWIi4tDzwVb4FJZAMddiQh1KLS5yRJqY8utQ4xb6Cjf4uJieHh4oKioCO7u7nXuW1BQAG9vbxOFzDDCIiKRqvTRDMpiTJPoVgxHqEMhTp88YZVxaoiGxqu+82NppHa9NOffG3z6bqs4/41hqGtlaWlUammwOerKP6Rwnn64ImLQHjVOxMoRWW1RUCnErTaNidvlYo6Om1XYOliG+CDLL6RJ/brZu3nBd4MKSx4U8H+hMnMHyWAMcd20ldGs62DwbkPBzu0HT/vO7AU0U6RJy78zJcqWm90ags6PeWnO/1A6/3WgNErMRZHF0c4V6Olr7pBYpg7uDKHewDbqhmUR9udxVKiBGGqxq6H6NNJISYSPusDshQ9TodRgJrSCbd1suVnSEmjO/346/3WgNErMQeQc27JExAXSpBB1GRUoYFcOt9lVpi3J9iwR3bw0BUNSk3Ya6WnfF8M14RhiY2PNHSSToAKImSQsnA+kHQBW0KAsfWh1W/PSnP/vaNBgHe5Po3SOiCn8ms9xtRSIC6SXubrEBQooqgQOXqUCiDmpRGB3LkdsAL1u1icmgCHrHnC20NwhMQ2dFDF9+nQEBgaCMYbTp09Xbb948SIeeeQRdO7cGb169cK5c+f0HmzdunUIDw+v+ufr64u4uDgAQFZWFmQymc7nly9fNmLULFv4YM0KtgGskAZl6VG9WdJuZyJQWoA1XyXT+TGRuLg4jHrrSwilBXCg9KlX9TQq7EiEc4XtNJ0T81FkcbR0Ah5pRQWQuvTwBtq7AduyqABiTsduy1BQAcRQgblej7VmcLMDUmyk66BOAWT06NE4evQoAgICdHZ66aWXMHXqVFy4cAGvv/46Jk+erPdgzz33HE6fPl3174EHHsDTTz9d9bmbm5vO5x06dDB8jKxEcqYIx16jcPbUbygrLcHpkyfoxeU+2mbJ/Dv3YLfwGMpDaXVbU7rQMR7jPj+OckqftdKm0Y9P3UXZ3GN4NNo2ms71oQos4+OcQ5ElIjZAgEygF7q6MMYQFyRge7YItUiFEHPZe1WO1s5ApC+l1/o4yBii/RlSsm0jveoUQPr37w9/f3+dHfLz83HixAk888wzAID4+Hjk5ubi0qVLdR74+PHjyM/Px8iRIw0cZGlIzuKI9mdwtaObsj6eDgyDWjMkU02WyVwq4jhXZB0zyFiC2L9q92wl49CHKrCML7UAuFxM3a8aalQgw40y4Fi+7d6X5sQ5x96rcowMECDQeKUGiQkUcOIWx5US6afZet8ucnNz4efnB7lcDkBTq9CuXTvk5OTU+b3PPvsMEydOhJ2dXdW2kpIS9OrVCz179sSiRYugVqvrDWBxcbHOv4qKinq/Y+ny7nEcz+f0ctcI8UECfrzOkV8m/ZvSEiRninCWcUS3pUyjIVo6MfR7gCE50zaazvWhCizjU2SJ8LAHBram+7Ih+rRkeMBJ022NmF5qAZBdKiA2gNJrQw1ryyBjwI5s6eclcmMctKSkBJs2bcKxY8eqtvn5+eHKlSto2bIlCgoKMHbsWCxbtgxz5syp81ht27bV+XvOnDl4/fXXdbYVFlrXiJ0Nl+xgxxzQ1+0OCgr072NtcWqopsarvwcDuAu+OncPk9orDRyq5pPa9dp8yRn9vCtQXnwP5eYOjIEZ61pFt7TDG384IPN6ATzsjfITdTJFGmzsvPB1VWB17Nix1u/VVYGlVqsRGxuL+fPnQyare02B4uJinb8dHBwaFX5Lo8gS8WQ7BnsZvdA1hMAYYgMFbMsS8V5vmjXM1FKyRbjKOR6jAnODeTkwDPDTdMOa1tXcoTGuegsgbdu2xbVr16BSqSCXy8E5R05ODtq1a1frd7755ht069YNXbv+ffYcHBzQsmVLAJpM7Pnnn8fGjRvrLYDk5ubqLCTl4OCgNxOxpkV89t5QYbA/EPRA3WG2pjg1RlPi5Q1ggJ8K+/Kd8K8H3QwfKAOQyvXKvstxqlCFNQ8xycTpfsaI18RuHP8+o8LRu56Y2Mk8rZtSuF7GrsCaOnWqUcJtbJfvMqQWuGJ251IUFKj07iO1ipDqmhq3wT4yfHLeGUcyi9DD0zJrlaV63ZIvO6O/dzlKikSUmDswRmCs6za4hR0S/nBA1o0CuNvVv78xGCNu9+dP9RZAWrZsiZ49e+LLL7/E5MmTkZycDH9//3prr1544QWdbfn5+fDy8oKdnR0qKiqgUCgQERFRb4Dd3d3rXQndmlwv5Th6nWNtf+msBmoqo9szzPhZRGEFh5cD1agYiyJLhIMMGPKA/pccol8bF4aHW2q6YZmrAGJpLLECq6SkxCoLamtz1XCSiRjdxQ3O8tqff9YYt4ZqStxGenJ4/qrCD4VuGNDecvNdqV233HscZ+6o8EovAd7enuYOjtEY47pN6MIx74wKv97zxJgO5stLTLoS+ksvvQR/f3/k5eUhKiqqqpCxevVqrF69Gp07d8bbb7+NdevWVX1nypQp2LFjR9XfGRkZOH36NMaOHavzQ0ePHkVERATCwsLQs2dPPPDAA5g/3/bmy9+eJUJgmvmeSeOMChSg5sAOGx7oawrJmRxD2zCz1bxYs/gghm/zOO4pKY0CuhVYAJpVgaVUarpeNqUCS/vPmrtgKbI4nmjL6ix8kJrsBIYn2zEobHh8ljnsyBYhZ1SR1RQBbgxh3sCOHGmnWZ0WkNWrV+vdKTg4GL/88ovez9auXVtj37t379bYLy4urmpKRVuWnMXxmB+DjyNlIo3l58zwSCtNDfOkzlTDbAzXSjl+vsGxboDl1hRasrhAAbOPi9iTwzGmg23d4y+99BJ2796N69evIyoqCm5ubrh06RJWr16NyZMnY8mSJXB3d69RgTVy5MiqwebaCqw9e/boHPvo0aN44403IJPJoFKp8Pjjj9tUBZZ24pIvB9J92RSjAgVsuKTGxSKOTh62dV+aS0q2ZuyHOcbDScHIAAErz4lQihx2Ep1y2yiD0Il+t8s5Dl7lWPkIvTw3VXwQw9xfRRRXcrjbS/OmNKdtWSJkDBgZwMCl2GnXyILcGXr6AlszRbM2nZsDVWAZz/ZsEXYCMJxmpWuSqLYMTjLN821OGBXijK2okuPQNY73+9jWM9CQYgIEvHlKxI/XOB5vI837nlKHCe3I5hC5pjaGNE1coIBKEdidQ11cjCE5k+Px1ozG2DRDfKCAPbkcZSpKo8QwFJkcg1ozeNJ92STOcobotoxWRTeRvbkcSlFTi0+apqcv4O8i7bWlKHWYUHKmiL6tGB5wpkykqQLcGB70ZUjOknbfSHO4Vc5x+BqtT9Nc8UECSlTAt3nSzTiI6dwq5zh8nSOO7stmGRUo4Fi+bSzwZm4p2SIifIB2rvSu01SMMYwMEJCSLYJzaaZZeqKZSFElx4ErHPFBdEM2V3wQw95cjlKqYTaolCwOjr9X9SZNE+zJ0M0LNr0oITGcHdkcnNPEJc01oh2DnGlejonxVKo59uRwxFJPj2aLCWDIvgf8Uct6cdaOUoiJ7MrhqBRBtVgGEB8koFQF7MulAoghbc0U0e8BhpZO9KLTXPFBAnbmcFSqKY2S5lHQfWkQXg4MA1szKDLpnjSmQ9c4ipWaMQykeR7z08xGKdVCM6UQE0nOFNGrBaMmSQPo5MHQw5tqmA3pTgXH91c54qn1wyDiAwUUVQLfX6WXHdJ0xX+1nMdRy7lBxAUyHLrGUVBO96WxpGRzBLgCodJa1sQs7GUMT7Rlkl16gAogJlCi5NiXSy93hhQfKGBXDkcF1TAbxM4czaBBaqEzjB7eQEd3KiST5tmTq2k5p4lLDCMmUIDINc87Ynicc6Rki4gJEMAYve8YwsgAAb/f4si7J700S081E9iby1GmBg3uNaD4ILRYOrQAACAASURBVAHFSuC7K9K7Kc0hOVNEn5YMbVwo0zAExhjigwRsz+JQiZRGSdMoMkU86Est54bi58zwcCuGbTSJiVH8fovjSgmNIzSkYW01Y5ekuCghvRGbQHKWiDBvoCMtgGQw3byAYA+qYTaEe0qOb/M4RlM3D4MaHcRwuwI4co0KIKTxylQce3I5RtHLnEGNCmT4No+jREn3paGlZHN4OQD9HqA0ayieDgwD/BhSJDiFNBVAjEihUKBHRCQ2PeGB6/N7Q6FQmDtIksEYQ7esFPxv0kNwdHZBWEQknd9GUigUCIuIhLe7K8qTesP5j+3mDpKkRPoytEjbhjGPPwgnSqOkkQ5c4ShRUbdIQxsVKKBcDeyjabINLiVbxPC2DHKJrtxtLjEBDAevcRRVSivN0pPNSBQKBeLj43Gu0geISUS+3Bfx8fH0AmIgCoUCitefgtrFFxUjEpGq9KHz2wja9Jmq9IHyyUTA1RevTBxN58+Atm3bhpvLx+K23BfllEZJIykyRXTxBEI86WXOkDq4M4R6g7phGVhmMUdqAc1+ZQwjAwQoRenN/Mm4ha5wUlxcDA8PDxQVFcHd3b3OfQsKCuDtbVlTLoRFRCJV6QM+fRfAGMA52IrhCHUoxOmTJ+r9viXGyRAMFa/mnl9Ds7br1ZDzZ21xaihTxcvUaVSq16sp6so/rOE8KUWOVl+q8EoXAYt7yRr8PWuIW1MZMm5Jv6vxwVkR+c/IYS8zfwFPCtdteaoac38TcfMZOdzs/z6nUohbbUwZtwiFEl08GTY+LjfJ75kiblRUNZILGengXYdoXjwAgDHwbkORkX7evAGTCDq/zUPnz/joHJOmOnyNo7CCul8Zy6i/psk+SNNkG8z2bI5BrZlO4YMYTkyAgD25HEoJTWpCTzcj6RwcApZ2ANA2MHEOdm4/grt0MW/AJILOb/PQ+TM+OsekqRSZmrUUInzMHRJp6uENdHAHFBIc2GsOt8s5frzOqfuVEcUEaArNUprUxDRtOTYoYeF8xMfHA8uHA92Hgp3bD572HRKo/7dBaM8vWzEcvBud38ai9Gl8lEZJU4icY1uWiPEdaC0FY2GMYVSggA0XRazqK0BGg6abZXcOh8iBJwPoPBpLuA/Q1kUz09igNuYOjWFQcdVI4uLi0HHOFnioCuC4KxGhDoVQKBQYNWqUuYMmCXFxcUhOTkaoQyGEHYlwriig89sIcXFxWPm/rUBpAex2Uvo0Bm0a7WpfCKQkog3oHJP6HcvnuF4GWv3cyOICGW6UAb/kS6dG2VxSsjXrSPk5U5o1FsYYRgYISMkWYaFDtxuNWkCM5FY5x+WOsfhsZzyeC6ZynjHExcUhLi4Oq9LUmPGziEHDKTk3Bo+Ihf3Ckbj9rByudpRxGIM2jfbdoYKfMzBqMKVRUjdFJkcrJ+DhlnRPGlPvlgx+zsC2LI5HHzB3aKxXmYpjXx7Hwgh6zzG2mACGj9KAMwWaFhFrRynGSA7kcXAAUf6UiRhbtL8AFQe+p1XRG2VfHke/BxgVPkwg2p/hQJ60BhASw+OcQ5ElIjaAugUZm8AYYgMEKDKlU6NsDt9f4ShV0fS7pjDAj8HdDkiRyBTSlGKMZG+uiFBvoLULZSLG1t6dobMHLSzVGOUqjoNXOaLbUvo0hei2DMVK4NgNSqOkdmcKgMy71P3KVEYFMmTd05x30jQp2SI6uQMhnuYOifTZyxiGtWNIyaYCCKmFyDm+vcIR7U+n11Si/QXsy6OarIY6cp2jTA1KoyYS6cvg60iFZFI3RaYIT3vgMT8qgJjCY60ZPO015500nlrk2JHDERNIEyaYSkyAgFO3gZx71p+X0NuHEZy+DeSXAU9Q7bLJPNGWIececP6OuUNiHfblcvi7AN28zB0S2yAwhih/hn159KJDarctS8ST7ZhFLI5nC+wEhifbMVoVvYmO3+TILwNiafYrk3miLYOdAOyQQCsIFUCMYF+uCFc74JFWdFOaygA/BkeZ5tyT+u3NExHtz6jWyoSi/QWcvAVcL7X+mitieBfucJwtpMUHTS0uSMDZQuBiEd2XjZWSxdHCEehDEyaYjIc9w2N+DDuyrT+90pPOCPbmalYEpVos03GSMwzwY9TFpQGy7nKk3wGi29Ltb0pD/5qQYj+lUaLHtiwRzvK/0wkxjaH+DE4yUCtIE6Rka1rsaMIE0xoZwHDoGkdRpXXnJfQGYmB3Kjh+yefU/coMnmjLcPgaR4nSum9KY/s2T4SMAYPbUBo1pZZODA/6Ujcsop8iS5NvOMvpvjQlZznDE20ZrYreSBl3ODKKgJhAeo00tZEBApSiprLbmlHKMbDvr3KoORBFg3tNLtpfQKUIHLpm3Telse3L5XikFYOHPb3omFp0W4Zv8zjUNB0vqSb3HsevNzni6GXOLEYFCjiez3GlhO7LhkrJ1rTYDaGKLJNr58oQ4QOrnw2LnnYGtjdXRIgnEOhGN6WpdfYAAl01L9hEv0o1x3dXOaKpm4dZRPszFFQAJ25RGiV/254lwk4Ahrej+9IcRrRjkDPNdSANsz2LY2gbBidqsTOLmAABe3I4KtXWm5dQAcSAONesCPoEtX6YBWMM0W0F6uJSh59vcNxT0vgPc+ndUjPtJxWSSXWKLI7BbahV0lw8HRgeb82wjbphNciNUo5j+Zy6X5lRTKCAYiVw2Ip7fFDqMaBzhcCVEtDibmb0RFuGS8XAJZrRRK99eRytnIBwH3OHxDbJBYYhbRj20kB08pebZRxHrlP3K3OLC9IM7L1dTvdmfXbmcDCmaTn6//buPLzJ88wf/feRF3k3eJNMbCAsZguLMQZssAkkBJoFgkzazvwyKW0W0ik/0t/0DExLGNw0oT3TaSdM58qUnOSkVyZnMp1gZSmZLDRQELEJOOBATFhMWGwsyTY23vAmvff547UcDN4t6d3uz3X5SmxZ8vOi59Wz3s/NlDE3AZgQA7yr4dOw+BPPjz6skhAZAuRb+aZUyvJU+YxsXgXp24eVElalCZj4+F3FrE434WgNd3SYzHec5hrOpaCotRNMkAjYe4Xvy8G8e1nCUotAUgTXWaUIIbBmggnvXdZuAmYegPjRB5WE5eMEInhPpGJiwwWWWgRvcelDdSvhi3rOfq601WkCBGDfVa6jDLBfkpBnFUiJ5HZDSdYogRyLgJ3jQAbU0kXYd5WwlgfMils7QaCyVU5+rUXcE/GTli6Cw8XBvWrwrXSB/dWEdg938G72URVBgPMMKG1ctMCcBPnACmZsjZ2EP18l2CbyPakGtokCH1cRWvgo9359XEXo8PLxu2qQnyoQH67d07C4BvnJgWpCl8TBvWqwOt2ENi/gcHEjcrMPqyQsTBFI5GVzxa1OM+GjKoKk0aVz5h//c4XQKcnHwDLlrZtoQruXD4kYyLuXJcwaC0yO43ZEaWEmgfvTBQ9AjO7DKsKkWGBKnNIlYXeNBe6IBmdFv4lHInxcxSt0arE6XcDdBnyh0aVz5h/2SxKykwXSY/i+VINJcQJzEzgren88EmHvFcLDE7jrqBZrJ5hQdg243Ky9/g7XIj8gInxQKeFb6SYIDu5VnBACq9MEb3G5ydFawvVOeXsaU94Si0BMGB+WYFR2ux2zM7Ow54F4VP50Iex2u9JFYt3WTTRhr8bzKwTKp25CfQewlrcMqsa30uWDd97T4CoID0D84HwjcLEZPLusIqvTTPjqujZnBQLhw0pCghlYkMR1VA3CQwTuGSfwAW/1MBy73Y6CggKUdyYCawvhDklCQUEBD0JUwnannF9hfzXfm7d65xJhXBSQxe2IasSFCyxPFZo8jpcHIH7wYZWEcBOwfBzflGpx7x0CIUIOvGbydrT70gRCTFxH1WJ1mkCxm9DYyXXUSH7+ixcgZq0EPbMXWPlj0Oa9EDPvxXPP71S6aAzyFt7JceCkhLcgIrx7WcKaCSY+xl1l1k4UOOgkXO/QVp3lAYgffFBJyE8ViA7jm1ItxpgFFqfwNixATnRWWkt8/K7KrE43wUvAJ3wcr6GcO3sGNHMl4OvECQGadR/OnvlK2YIxAPIW3rsuvotXH8tGRFQ05mZm8eoUgC8b5J0eD/Pxu6qzZrwJHoLmVtS5RzJKbR7CX5wc3KtG30oX+KSa9/J+fJVAAFZxHVWVibEC08fwcbxGkzFtOsTpfYDvBDQiiPKPMW3GDGULxgDIW+Te/ekj8EYloePBQpzqSuQtcgDevSQhNgy4m3d6qE5ajMD8JO0dx8sDkFGw2+2YNW8B2n84Bi8/yoGEahNe9g6adyxCbEyMIWex7HY75mZm4bG7YhHxy0Uo/vBtpYvEbjGl4l384XsLEckzrYaxY/s2UPk+4MUHgH0vQux6AHT6z9jx7Dali8bwzRY58Ba5Xt65TPhWuoA5hAcgarR2ggkfVGprwpUHICPkCyS8SHIg4XmJZ0nUxG63Y8sP1gMxSeh8yHizWL76eaorEdKaQrRHcqCr2tjtduz92SPwRCWhnWdaDcNmsyGv8L8R2VmPiL2FmGNugN1ux7p165QuGgNvketLVQvh8zrCWj5+V7ViTr2Dph2LEKOhCVdBpM5MWE1NTYiPj0djYyPi4gZOrlFfX4+EhIQglUw2NzMLp7oSQZv3yh9URBC7HsAccwPKjpeO+vWVuKZgCNZ1Bfr9uZXa3i9/XL/arslf1HJd/q6jarkuNRio/VDDv9P4/+zCtyeZ8M+LQ/z6umq4tkBRvO2IaEDZ5/5vOwB1v292ux2bn30eVy+cxawZ0/HcP26DzWYb8vPVfG2jpZZr8004YuZKYNZKiNP7QOX7UFRUNKz36mbBuDYezo4Qz5Kom9HfH6Nfvxbwe2RMl5sJla1AnpW3sqiRb4uc2MVb5Hwd26siCVhbiNMeXqVVI61uG+QByAhlTJsOUc6BhGpl9EBPo1+/FvB7ZEyHXPL7vZQHIKpks9lQVFSEOeYGiPcKMaar3rBb5LTasTUarU5m8QBkhHZs3wY6zYGEanXrLBYM9v5woKv68UyrMTlcEmaOARIjeACiVjabDWXHS/GTg02ILjyChx9+WOkiKUKrHVuj0epkFg9ARshmsyHtJ39EgpcDCdXo5lmskPcKYW431iyWzWbDC6++BdyoRzjXT1Xy1dG7zA3Au4VIJWPVUaNyuAj5qdz0asGKcQJVrUBFk9IlUUbGtOkA7/RQPa1OuIYqXQCtqm0jVE1bhzeeXo//NYUbEzWy2Wyw2Wx4s0LCXx/wImeVsaq7NG8d4grX4tpjoQjlDOiq5Kujy/d6EB8OrLvPWHXUaGraCGeuA9sz+X7UgqUWgVABfHJVwtR4/x4YoAU7tm+Tg5t3PQDMug+i/GO5Y8sxIKrim8x67vmd+PJPhRCp0/HHoiLVT2Zxz3mEfPt4l/E+XtVb3p046UC1Kg98C5gDTsKyVMGDDw1YlirgcBEkdR5KyPzkcHe7wQHo2hAbLrAwRWC/wdoOn7xvrQOe/iPGiwbe6aFyvm2D75xphuenRzDvXvW/RzwAGaGDTsKkWDkDJVM3a5TAjDHAAae2soSORoeXUOymnsEXU7dlqQL1HcCX9UqXhAWSw0WYEAOkc7uhGSvGCRxwGnNy4C9OAuavQ8lnx9B2oxVlx0t58KFyS6wCAvJnjdrxAGSEDjolLEvlRkQrlo8zGWoF5EgNod0rXzdTv8UpAuEm+XOF6ZfDRcjn1Q9NWTFOoK7dmJMD+6sJ0+KBcdFcZ7VirFngrgT5sAu1497JCNS3E07VA8s4kFAzlqcKVDQBlS3GGITsryYkmIE5yudIYkMQGSqwMFngoAZmrdjINHcSTlwj5HG7oSk5KQLmEGB/tfo7dP52oFriSSwNyrOaeAVErxwuAgG8AqIhdxssDuRANeHuVAGT4DqqFfmpAoecBDLgVg8jKHYTJOL4D62JCBVYYjFeHMjVVsLZRnkFiGlLnlXgXCPgvqHuOssDkBE46CSMjwEmxvKNqRVJEQJzEowRB3LDQzhSw/EfWrMsVaC2HThzXemSsEBwuAjJEcC0eKVLwobrnnECB50Ej6TuDp0/+Sbr7uaJVs3xTXIcdqu7vvYagGzevBkTJ06EEAJlZWU9Pz9//jxyc3ORkZGB7OxslJeX9/lif/nLXxAZGYl58+b1fLW1tfU8/uqrr2Lq1KmYPHkynnzySXR1dQXosgLrEO/j1SSjxIEUuwldErCct3poSq5FIERwHIheOVyEPKuA4FVJzVkxTqCpC/i8Tv/th8+BagmzE4DkSK6vWnNHtMCdseoPRO/VQ1m/fj0OHz6MCRMm9PqljRs34qmnnsK5c+ewdetWbNiwod8XnDZtGsrKynq+IiMjAQAXL17E9u3b4XA4UFFRAbfbjZdfftn/VxRgjd37eDn+Q3tWjBO43AJcbFL3TTla+6sJKZHAzLFKl4QNR0yYwAKOA9GlDi/hs1ri7VcatSBZIDYMhtqGtb+asILjPzQrzypUH4jeq3bl5+cjLS2t1y/U1NSgtLQUjz76KACgoKAAlZWVqKioGNYf2rNnD9asWQOr1QohBJ5++mm8+eaboyx+8H3qkvfxcvyH9uRbBUxC/43IgWrC8lSeadWiZVZ5q4cW40B4Bb1/x2oJHV45OJRpT6hJIN9qnDiQi02ESy3y4S1Mm/KsJpRdA5o61VtnB/00rKysRGpqKkJD5Qy9QgiMHz8eV65c6fP3L1y4gPnz5yM7OxsvvfRSz8+vXLnSa2Vl4sSJ/b7GzZqamnp9dXR0DPqcQDroJKRGAVPiFC0GG4ExZoHMRKHrOJDmTsKxWo7/0KplqQLOG0BFk9IlGT5eQe+fw0WICQPmJipdEjZSK8YJHHYROrzq7dD5ywEnwSR4olXL8qwCEgElKo4DCfXni82fPx9VVVWIj49HVVUV7r//fiQlJeHb3/72iF8zPT291/dbtmzB1q1be/2soaFhxK8/XJ9URSEnQUJDQ3NA/04wrymYlL6unLFm7KkMxbVrTfDnAoHS1+WzzxkCL0UhM6oJ9fWj++BRyzX5m5qva6YZMCEG/1PRgr+5c3gz/MG4roSE/s91zs/Pv+1nvhX0jz/+GIC8gr5p0yZUVFRgypQpQ/67N6+gA8DTTz+NnTt34kc/+tEwr0AZDhdhiUUg1MQdOq1acYcJ7Z9JOFJDuu+Y76+WkJkoMMas7+vUs4x4ICVS/uxZlT747yth0AFIeno6nE4nPB4PQkNDQUS4cuUKxo8ff9vvxsV9syyQlpaGv/qrv4LD4cC3v/1tjB8/HhcuXOh5/NKlS32+xq0qKyt7va7ZbIbZbL7t9wZqGP2lpYtQ1uDBEzPCkJAQFfC/F4xrUoKS13X/ZAn/dt6LayFjkTHGvx+uani/Ss97cUe0hOzxY/yyBUsN1xQIar2uBACZSR6UNkXimYTY4T9fZdc10Ap6XwMQ3wp6SEgIvv/97+Nv//ZvAYxuBf1mfbUdgeaVCJ+6CFvm8vYrLZuTACSa5S28y1KVLk3gEBEOVBP+1xSur1omhMBSi1B1IPqgA5CUlBTMnz8fb7zxBjZs2ICioiKkpaX12Xg4nU5YLBaYTCY0Nzdj7969ePzxxwHIM19Lly5FYWEhLBYLfv/73+O73/3uoAWMi4vrNQBRUrGb4CVOQKhlS7tPGtpfLSFjTIjSxfE7jv/QvmWpAm99LYGIDPU+BmsF/amnnhptUYfl5HUTmrqiMTeqBfX13oD+LTWv7o2WGq5tSVIEPros8MydbYP/8jCo4dp8zjcLVN+IwYJY/9RXNV2bv6n92rLiwvDcFTOctfUwD7O7E4hru3WCrNcAZOPGjXj//ffhcrmwatUqxMbGoqKiArt378aGDRuwc+dOxMXF4bXXXut5zhNPPIE1a9ZgzZo1KCoqwr//+78jNDQUHo8HjzzyCL7//e8DACZNmoSf//znWLJkCQDg7rvvxsaNG/1+gYF00CmfLjR9jNIlYSMVGy6QnSxwwEl4eqbSpfGvhg75hLa/nam/gZWRLEsV+O0p4FIzcKc65l5GTI0r6K2trUFdKTpZ7UW4ScK9k+MQERr4AaXaVsH8SelrWz3Ri83FEsJjxyImTH8r6ABwwuVFqJDwrSlxiA33zzWq5doCQc3XtmoSYdtJD772jsGS5OFPnAf62noNQHbv3t3nL02bNg0lJSV9PvbKK6/0/P+mTZuwadOmfv/Yk08+iSeffHIk5VSFg045/4eRZiX1aMU4gVfO6m+G+ZBTPqGNM9dqW55VQEDON3RnnLbfSzWuoLe2tvrn4obI4SIsTBZBGXywwFoxzgQPSTjsIqxO1+f7ub+asDBF+G3wwZQzNxGICeuOQbMqXZrb8V6iIbrhIRyt1X/wmREsHydQ0wacVvfq6bAdcBImxgATY7mOatlYs8DsBO0lJNy4cSPS0tJQVVWFVatW9Qwydu/ejd27dyMjIwO/+tWvbltBf++99wAARUVFmD17NubOnYvFixdj5cqVfa6gT5kyBcnJyZpYQSciOQEhtxu6kBEPjIvS71HuEhH+4iQ+flcnQk0CuSnqjQPx6ylYenakO7s0x39oX65FIMwkx4HMStDPdqUD1RIfv6sTy1JNeP+KtgYgvIJ+u/ONgLsNnIBQJ4QQWDFOv/lAyhuA2nZeRdeTPKvAP5+S4JUIISo7hY9700N00EVIMAOzOLu05kWFCixOkeNA9KK2jXCyHljOmWt1YVmqwNfNQFWLfuqoETlcBAF50oPpw4pxJhyvIzR06O/e3F8tIdwE5HB91Y28VIHGTuBLFe744N7KEB3qjv8w6ShmwMhWjJMzTksazDjdl4PdgyleOteH/O4Z84MqXTpnQ+NwSZiXCMTzfnrdWDFOgAD8RYerIAeqCbkWgUiOV9KNhcnyjg+HS30r6jwAGYIOL+FIDSGfO3e6sXycQH0HcLJe6ZL4xwEnYWockBbDdVQPkiMFZo7RXhwI683hIuRZuZnVkwmxApNi9RcH4pW64z94+5WuRIbKJ3+qMQ6EPxmH4GgNod3L8R96sjhFICIE2H9VHx08Of6D66eeLEs19axsMe252kr4upnjP/TonjsE9lfro+3wKbsGNHZy/Ice5VnlAQipbMcH91iG4KCTEB8OzFXvcc9smMwhAkss+ogDcd4gfHWdGw69WZYqcK5Rfn+Z9vhmHHkAoj8rxplw+jrg0tG9ub9aQlSovGWH6UueVcB5A/i6WemS9MYDkCE46CI5g7bKThBgo7N8nMAhJ8EjabsR8e1Fvpu3COqK78jvQzoYJBuRw0XIiAcsUXxf6o0v1u6AjrZhHXDK/ZzwEK6verPEIueWUts2LB6ADKJLIhS7Of+HHokTb6NpxyJEx8RgbmYW7Ha70kUaFrvdjrmZWfibu2Jh/uUifPrh20oXifmRNUogIx68DUujHC6JVz90yhIlMGssdLMNq0siHHISr6Lr1Jju3FIOlcUU8gBkEKW1hBse8ABEZ+x2O7Y9/ggQk4TOBwtxqisRBQUFmhmE2O12FBQU4FRXIrxrCtERmaSp8rOhWZYqOBBdg+rbCafqwQHoOjb+3Lt4/XsLERkVrckJrJsdqyW0esAB6DqWZzXxCojWHHQSYsKA+Ul8Y+rJz3/xAsSslcAze4GVPwZt3gsx81489/xOpYs2JL7y02a5/HhGW+VnQ7MsVd5rXtumroaDDexTN8d/6JndbscH2x5BZ1QS2jU4gXWrA9WEOO7n6FqeVeB8k7rilngAMoiDTsISi0Aox3/oyrmzZ0AzVwK+vC5CgGbdh7NnvlK2YEOk9fKzofHlA1HbzBUbmMNFuCMauDNW6ZKwQND6BNat9lfLaQa4n6NfvsmQwypqS3gAMgCPRDjM8R+6lDFtOsTpfYDvWDoiiPKPMW3GDGULNkRaLz8bmvQYgTtjOQ5Ea+T8HwKCE9fqkl4mgOx2O2ZnZmG/LR6f/3ihZldw2ODGRcv5a9Q0mcUDkAGcuEZo6eL4Dz3asX0bqHwfxK4HgH0vQux6AHT6z9jx7DalizYkvvLjRW2Wnw0dx4FoS2sXobSWePuVjulhAsgXR1jelQisLYQrhOMI9U7OB6KetoQHIAM46CREhgALeF+k7thsNhQVFWGOuQHivULEdtXDbrdj3bp1ShdtSGw2G157cw9wox5hfyrEHHODpsrPhm5Zqgkn64GGDvXMXLH+fVZD8BAHoOuZ1iewgNvjCLW+jYwNLs9qwhf1QFOnOtoS/oQcwEEnIZfPxdYtm82GsuOl2Ha4CebtR/Dwww8rXaRhGbt4HbDtCCpqW1B2vJQHHzq1zCpAUNfSOeufw0UYawZmjVW6JCxQfBNYM8MbgHcLkS60NwGkl21kbOjyrAISAcVudbQlPADph1ciOFwc/2EESy0Cte3AuUalSzI8DhchPRoYH8N1VM8mxgLp0RwHohWO7sS1Jo7/0DWbzYYvT5Ri+hvXcf/vP9PU4APQxzYyNjxT44GUSPVMZvEApB+nGoDGTiCfByC6l2MRMAn13JRD5Qt0ZfomhOiOA9FW/TSiLolQUsP3pZGobV/9UHEcofEIIbrrqzraEh6A9OOgU4I5BFiUzA2J3sWFC8xLhKYakdYuwvE67ugYxbJUE05cIzSqZO8u69vxOjlxLd+XxpFnNaG8AbjWrq1702az4dF/fgumG/Uw7+U4QqPIswocrSV0eJWvrzwA6cdBJ2FRskBEKDckRpBnNanqfOzBcKCrsSxLlffufqqhOmpEDhchKpQTuhmJGvMrDFXDrIex4qXP0H6jleMIDSLPakKHFzhWq3x95d5LHyQiHHJy/IeRLLUIfN0MVLcqf1MOhS/QdQYHuhrClDggNYrjQNTO4SIsTuGDS4xkQowco6WWbS1DJRHhUzevohvN3AQgNkwd9ZUHIH043QBc6+D8H0aSp7GM0xzoaiy+OJBDGqmfRiQRcVyWAaltX/1QfVkPXO/k7YJGE2ISyLWoo77yLgvGFQAAIABJREFUAKQPB50SwkxycDIzBkuUwNQ4bQxAuiTCEQ50NZx8q0BpLaG1S/111IhONwANHdyhM6I8q8DxOm3dmw6X3M9ZlML11WjyrAKfugheSdn6ygOQPhx0ErKTBaI4/sNQlloFDmsgEL3sGqHVI5eXGceyVBM8KjrDnfXmcEkIFcBi7tAZTp5VvjeP1Gjn3nS4CFlJ3M8xojyrQFOXfNqrkngAcgsiwkHO/2FIeVY54/R1lWecdjgJkSFAFge6GsqMMUByBMeBqJXDRchKFogO4/vSaGaMBRLM0MwWSeLtgoa2MFkg3AQ4nMpOuPIA5BZnG4GaNjn7MDOWvO6M02qfYT7sJiziQFfDEUIgn/OBqBIR4RB36AzL5IsD0ci9ebEZqL7B2wWNKiJUIDtZ+TgQHoDc4qBTQogAcjn+w3AmxwFWFWUJ7QsR4TB3dAxrWfcZ7m0e9dZRI7rUDFxt5Q6dkeVZBY7UEDpVkF9hML42bgn3cwzLd3ACkXL1lQcgtzjolPdFxobzjWk0QojuOBD1NiBnG4Hado7/MKplqSZ0Straa24Evg7dUu7QGVaeVaDNKyejVDuHS8JdY4GECK6vRpVnFXC1ARealCsDD0BuQkQ4yPk/DM2XJbRdpTPMDhfBJIAcDnQ1pLsS5L3mvA1LXQ5xh87wMpMEokLVvYLuI8d/cPfPyHItAgLK1leugTf5untfJA9AjCvPKs8wqyFLaF8OuyRkJvIKnVH59przAERduEPHwkwCOSnqz9VT00Y418jbBY1ujFlgToK8GqYU/sS8yUEnQYD3RRrZHBVlCe2Lw0W8/crglqXKe807NLDX3AjcN7hDx2T5qQKfugmSgvvqB+PbYsz1leVZTbwCohYHnRLmJcojQ2ZMviyhh1V4EtbVVsLFZm44jG5ZqgntXvWu0hmN77OC70uWZxVo6ADKFc6vMBCHizAxBkiL4fpqdHlWgYomwHVDmbaEByA3keM/+J/E6NSSJfRWHOjKAGBuAhAXxnEganHISbgzljt0TM4qHmZSdlvLYDj/B/PJ6w43UGoVhHvb3S43Ey63cPwHU0+W0FsddhEy4gFLFNdRIwsxyae18QBEHRwuiTt0DAAQFSqQlaR8foX+NHcSTlwjLOV4JQYgNUpgchwPQBTna8y5IWHZyd2zWApnCb2VwyXx6gcDIE+UFLsJXSpbpTOapk7CF/VAPnfoWLc8q8Ahp7L5FfpTUkOQiPs57BtyPhBl+jr8qdntoFPC7AQgkY9RNLzI7iyhaooDud5BOFUP5PEWQQZ5ANLqAT7nOBBFFbu5Q8d6y7cKVN+Qs42rjcNFSIoApo9RuiRMLfKsJnxxDWjsDH5bwr2ZbgddhGU8i8W6qSFL6M2K3QQCd3SYbH6SQHQox4Eo7ZCLkBIJTI1XuiRMLZZYlc+v0B+Hi7DUIiAEtyNMlmcVIMh9jGDjHjfk04UuNHH8B/vGUouA84acG0YNHC6CNRKYFKt0SZgahJkEllgEDqqwk2MkDqcc0MsdOuYz1ixwl8L5FfrS4SV8VsMB6Ky3KXGAJVKZATMPQPDNLGI+D0BYN7XNYvlOLuGODvNZlipw2EXwcByIIto9hKO1hHzu0LFbKJ1foS+f1xHavd+cfMQYAIju5LYOBVbTeQACeQAyYwyQEsk3JpP5ZrEOq2AWq91DOFbLM1est2WpAs1dQNk1dXV0jOJYLaFTAmdAZ7fJswqca1Quv0JfHE5CdCiQmcjtCOstzypwtJbQ7glufeVPTsgB6Jz/g91KLbNYPR0drqPsJtnJApEhHAeilEMuQlwYMCdB6ZIwtfFNFh1WQfvh43ARciwCoSYegLDe8qwmdErBT25r+B6N6wbhbCPHf7DbLbXIs1huhWexHN0dndljFS0GU5nwEIEcC+cDUYrDRci1CIRwh47d4o5ogUmx6tnCKxHhUzevorO+zelObhvs+mroAYjdbsei7AXApjF4riAbdrtd6SIxFWn57G3g+UVIT4zB3MysoNcPu92OuZlZ2J4TB3p+Ed595+2g/n2mfslfvYP3Ny5ERFQ08u9ewZ9hQeKVCMVu4rhB1i8l8yvc6st64Honn6LI+hZiEsi1BD+BpmEHIHa7HQUFBbiCRGBtIc54ElFQUMANOAMg14+nHl0PxCSh66FCnOoKbv3w1c9TXYmQ1hSi2ZzE9ZP1Yrfb8ce/fwRSdBI6HizEaSmZ60iQfFEPNHdxh471L89qwhf1yuRXuJXDJSHMBCxK4frK+pZnlZPbeoN4qIkgtSQ6uEVTUxPi4+PR2NiIuLi4AX+3vr4eCQnD24g7NzMLp7oSQZv3AkIARBC7HsAccwPKjpeOpuh+MZJr0gKtXNdw64e/r0sN9VMr79Vw6eW61FBH1Gqg9sMf7/+Lp7z4h2MSGr8XCnOIejp1eqnbfdHatZ27Tpj2lgf/szoE30ofeK430Nf23U88uNwClKwNDdjf6I/W3rfh0NO1OZwS8vd6cXxdKDKTRFCuzbArIOfOngHNXCk33AAgBGjWfTh75itlC8ZUQen6ofTfZ+rHdUQ5DhdhYbJQ1eCDqcvUeOXyK9yMiHqOcWesP9nJAuGm4OavMewAJGPadIjyfYBvAYgIovxjTJsxQ9mCMVXImDYd4rRy9UPpv8/Uj+uIMnwdOs7/wQYihMCk8+9g13ezERkVrUgcIQBcbAaqb/B2QTawiFCBhcnBjQMx7ABkx/ZtoNP7gBcfAPa9CLHrAdDpP2PHs9uULhpTgR3bt4HK90HsUqZ++P4+10/Wn9vr6P1cR4LgXCNQ284dOjYwu92Okue+jRsRSWh/MPhxhL4yLFssH7Tz07V80A4bWF6qPAAJVmSGYQcgNpsNc37234jrqkfE3kLMMTfAbrdj3bp1SheNqYDNZkNRURHmmBtgeq8QMZ31Qa0fNpsN/8//twe4UY+wP3H9ZLfz1dEZYQ3Au4VIo2tcR4LgkItgEkCOhQcgrH8//8ULELNWAs/sBVb+GLR5L8TMe/Hc8zuD8vd9B5lUCfmgndN80A4bRJ5VwN0GVDQF5+8FPyJJJbwS4eupD2PbWzb8w7wQpYvDVMhms8Fms+G54168+KWEtQ8H93YZm7MO2LYGl/46FOOiubPDbuero5P/qwsrLZ1Ytzxa6SLpnsMpYV4iEBfO9yTr37mzZ0APFt4eo7W3MCh/3zcA8h1SQfc+A7HrATz3/E7YbLaglIFpS65FQECOW3o4OfB/z7ArIOUNQEsXz2KxweVaBBo6gLPXg/t3i92EiTHgwQcbVI5F4Ng1nkgJBjn+w7BNJxsipWO0+JAKNlzx4QJzE4MXiG7YT9GSGgkhAliQxJ07NrCFyQImIQ8IgqnYLWdaZmwwOSkCp66b0OZR5anqulHZQrjUwvEfbHA9cXwKxRHyQTtsJPKspqAFovcagGzevBkTJ06EEAJlZWU9Pz9//jxyc3ORkZGB7OxslJeX9/li+/fvx8KFCzFz5kzMmjULW7ZsgSTJI6lLly4hJCQE8+bN6/m6cOFCAC9tYMVuwrxEgegwbkjYwOLCBWaPBYrdwTuert1D+LyOByBsaHItJnSRwOd1PAAJJF/DvJQHIGwQvhitSSY5RmtaaHDj+PigHTYSeVaBC02Aqy3wn3G9BiDr16/H4cOHMWHChF6/tHHjRjz11FM4d+4ctm7dig0bNvT5YmPHjsV//dd/4fTp0/j8889RXFyM119/vefx2NhYlJWV9XxNnjzZ/1c0RCVuQg5nBWVDlGsxobgmeJ27z+sIXZL8dxkbzOwEIDqEUBLkVTqjcbgI0+KBlEhuO9jgbDYbTnx+DOLfruPv//toUA+IsNlsmP4P/414Dx+0w4bOt7p7JAhbenv1bvLz85GWltbrF2pqalBaWopHH30UAFBQUIDKykpUVFTc9mKZmZmYNGkSACAiIgLz5s3DpUuXAlT0katrJ5xv4vgPNnS5FoEz14Fr7cHp4BW7CdGhcseSscGEmgQyE7woCeIg2YgcLgn5qdxusKGLCxeYnRDcFXQA6PQSLk59GIVFR9F2oxVlx0t58MEGZY0SmBIHlNQFeQDSl8rKSqSmpiI0VD4BSAiB8ePH48qVKwM+z+VyYc+ePXjwwQd7ftba2ors7GzMnz8fzz33HLxe76AFbGpq6vXV0dEx6HMG45sl5O0tbKh8deVIkDp4xW7CohSBUBPXUTY02QleFLuDd4b7rfS+hfdaO6G8Qd4jzdhwLLGYgh5DeLyO0OHlfg4bvjyrwJEgDEACcq5oU1MTHnroIWzZsgULFiwAAKSmpuLq1atISUlBfX09vvOd7+A3v/kNtmzZMuBrpaen9/p+y5Yt2Lp1a6+fNTQ0DKt8+y+HwxIRhtjOBtTXD+upQTPca9IKrV5XPAEp5mh8cqkDOTGdtz3uz+siAj51ReOxO7tQX3/73woWrb5Xg9Hrdc0wt8HdloKyquuYEB2Yzk5CQv9LcuvXr8eWLVuwdOnSXj/3beHdsGED9uzZgw0bNuDYsWO3Pd+3hXfSpElob2/Hvffei9dff71ny69vC69SDnfHf3AAOhuuXIvAv38F1LcTEiKCU3+K3YSIEGBeItdXNjx5VhP+cM6E6x2EMebA1Z9BByDp6elwOp3weDwIDQ0FEeHKlSsYP358n7/f3NyM1atXY+3atfi7v/u7np+bzWakpKQAkBuxH/zgB/jP//zPQQcglZWViIuL6/U6ZrP5tt8bqGG8VVmTB7lWIDFR3ftbhnNNWqLV61qS6sGJphAkJMT0+bi/rutCE6G2w4N7Jkb1+7eCRavv1WD0eF13j28ATgJfdcQjMz34s/T5+fm3/cy3hffjjz8GIG/h3bRpEyoqKjBlypRev5uZmdnz/2rcwutwEdKigQnK3pJMg3yrECU1hAfGB2kAUkPIThYID+EBCBuePKsAQaDYTbg/gPV10FYqJSUF8+fPxxtvvAEAKCoqQlpa2m2NBwC0tLRg9erVWL16NZ599tlej9XU1KCrqwsA0NHRAbvd3qvB6U9cXFyvr74GH8PhkQhHa/l0ITZ8uRaBo7WELimwS+m+pfrFfEgCG4ZEMyEjPvjHRQ9ET1t45fwfAkLwfcmG585YwBoZvHuTiPCpi7CE+zlsBCbHAZYIKeDH8fZaAdm4cSPef/99uFwurFq1CrGxsaioqMDu3buxYcMG7Ny5E3FxcXjttdd6nvPEE09gzZo1WLNmDXbt2oWjR4+itbUVdrsdAPDII49g27ZtOHz4MP7xH/8RISEh8Hg8WLFiBbZtC/5xcCfrgRse8AlYbNhyLQI3PMDJa0BWALOEFrsJM8cAYwO49Mn0KSdFoKRGAqDdpISB3sL71FNPDbtMLR7geF0Mvp3Wgfr6rmE/P1j0ur0Q0P61LRgbgYNVAvWT2257zN/XdrlVwNUWg9lRLaivH3ygHkhaf98Goudrmx9nwoEqM+qn3F5fR+rWnQe9BiC7d+/u80nTpk1DSUlJn4+98sorPf+/bdu2fgcVNpsNNpttWIUNhBK3hDATkMUJCNkwzU8UCDfJp5lkJQeug1fslniFjo1IjkXgjQpCaxepIseRGrfwtra2DnsL3vGrEjzkxepJMUhIUP7fdSB63F7oo+VrW57uxbOlEmLHjEVYH4eL+PPaPqiXAHhx35S4oMWcDETL79tg9Hpt+anN2HEqFFFxYxERGpg6ZLjjPIrdhPlJImD/oEy/IkIFspJEQPOBNHUSTtVz/g82MrkWE7wEHKtVxzYsvWzhdbgICWZgxtgRPZ0x5FoE2rxA2bXA35vFbjlfTZIKBh9Mm3KSvOiUgKMBbEsM18spqeEEhGzkci0ioPt4P6shEPjoRDYyM8cAsWFQJB/Ixo0bkZaWhqqqKqxatapnkLF7927s3r0bGRkZ+NWvfnXbFt733nsPAHq28Nrt9p6jdl944QUAwOHDh5GZmYm5c+di/vz5sFqtQd3C63AS8qwCJo7/YCOUmSRgDglOHAivorPRmhkvIS4MAY0DCcgxvGrlukG42MzxH2zkci0CvzkFVLUQ0mL8X4+K3fJMa0a831+aGUCISWBRilAkI7pet/B2eglHagi/WGC4+TrmR+YQgewkeQLrmbsC93eaOwkn64EfzeT6ykYuRABLrCKgAxBD1VBOQMhGK+em4xQDodgtn9DGJ+2wkcq1CJTUKJeQUG8+ryO0eTn/Bxu9XIvApwFOFvpZLUEi7uew0cuzygNmb4BO/jTWAKRGPsc9EDPXzBhSowTujA3MMrpXkmdaueFgo5GTIlDXDlQ0KV0SfXC4CFGh8hYaxkZjiVXgaitQ2Rq4v1HsJow1A9PHBO5vMGPIswo0dwFfBChht7EGIG6O/2CjF6g4kNPXgaYunrlio7Oo+zNOiW1YeuRwyZMCfZ1cxNhw+PofgYwDKe7u53C8Ehut7GQ5bsnhkgLy+oYZgHR6CcfqeHaZjV6uReB4HaHN499GpNgtIUTINz1jIzXWLDBzjLoSEmqVRITDLuLtV8wvkiMFpsYBnwZoX71XIpS4uZ/D/MMcIrAwOXBxIIYZgJRdI3R4v9nDz9hI5VpM8BBQ6ufj6YrdhMxEgSg+IpqNUo7Fl5CQjcaX9cD1To7/YP6zxCpQHKB7k1fRmb/ldQeiByJuyTADkJIagjkEyEzkG5ONzl1jgZgw/88wF/PMFfOTnBQTvmyQ88qwkXO45MS1i3jrLvOTXIsJX1wDWrr8f2/6VtEX8io685M8q0BNG3C+0f+vbZgBSLGbsCBJIDyEb0w2OqEmgUXJ/k1IWNNGqGjimSvmH7kWAYkCm0TKCBwuud3gVUnmL0ssAl4CjgbgJMViN2FeokB0GNdX5h+5FgGTCEw+EMMMQErcxNuvmN/4AtH9tSzJR0Qzf5o2BhgTzoHoo0FEcHD8B/Oz6d33ZiBitD7lVXTmZ3HhAnMTAhOIbogBSFULobKVExAy/8m1+Peo02K3fER0Oh8RzfzAJAQWpwhFMqLrxdfNQPUNjv9g/mUSAjnd+UD8yX2DcKFJXmFhzJ/yrCZeARkpXyPMKyDMXxb7+ThFjv9g/pZrkTOiS5yQcEQcLoKAHDTMmD8t6U4W6s9709fP4XaE+VueVcgTMq3+bUuMMQBxEybGyEnkGPOHMWaBWWP9MwDhI6JZIORYBK53AmevK10SbXI4JcxOkI81Zsyfci0CjZ3AVw3+e01eRWeB4lsF9vcqiDEGIDUc/8H8T44DGf2+yBPdR0TzAIT508JkAQHwNqwRkuM/DNFEsiBbmCwQIuDXbVgc/8ECxRIl56/hAcgwtXsIx3l2mQVArsWE8gagcZRHnZa4CZEhwDw+Ipr5UVy4wOwEoMQPg2Sjcd0gnG/i+A8WGNFhAvMS/TOBBQAdXkJpLXH8BwsYOR+If9sS3Q9Ajl8jdEryufiM+VNuigAB+GyUM8zFbkJ2skCYiRsP5l85KSbOiD4Cvpk+HoCwQMn1YyD68Tq5n8MTrSxQ8lJNOFUPXO/wX3ui+165b3Z5TqLSJWF6c+oTO0JeWIT7p8Yi/+4VsNvtw3q+3W7H3MwsvPVAPL76+4XDfj5jg8mxCJy+7t9GwwgcLsLkOGBcNHfoWGAssQhUNMk5oEaruLufM5dX0VmA5FnlCVd/bhvU/wCkhmeXmf/Z7XasX78e3ugkeB8qxGkpGQUFBUMeRNjtdhQUFOBUVyKwthB1IUnDej5jQ+E7eny0q3RGc8gp8eoHCyjfaoU/cvV86iYsTOF+DgucSbFAapR/40B0PQAhIj7elAXEz3/xAsSslcAze4GVPwZtfh9i5r147vmdw3o+be5+/jN7h/V8xoZiajyQaAaKeQAyZNc7CCfrwQHoLKCOffw2QncuQsGMka2g+/j6ORz/wQJJCNEdB8IDkCG50gI4b3D+D+Z/586eAc1cCYjuuiUEaNZ9OHvmq6A8n7GhEN1Jzzgj+tAVuwkEjv9ggeNbAfdEjWwF/WYXmwF3G8d/sMDLswocqyW0efzTnuh6AOI7fnIxZ0BnfpYxbTrE6X2AL5EUEUT5x5g2Y0ZQns/YUOWkCHxWQ/BKPAgZCoeLYI0EpsQpXRKmV6NdQb+Z75AJ7uewQMuzmtAlAUdreQAyqGI3YUockBLJNybzrx3bt4HK90HsegDY9yLw4v2g03/Gjme3Dev5eFF+vtj1wLCez9hQ5VoEmrqA05yQcEgOuQh5VgEhuN1ggeHPFfBP3YTpY4DECK6vLLDuGgvEhwMOJw9ABlXipp4gTMb8yWazoaioCHPMDQh5rxDh7Q2w2+1Yt27dkJ///CtvATfqEb63EHPMw3s+Y0OV3Z30jLdhDa7NQzhWS7z9igWUP1bAfaco7r43Du5ti/gAExZwISaBJRb/xYHodgByw0Mou8YZ0Fng2Gw2lB0vxR9ONaPzp0ew7FsPD+v54QvWIXrHEbS2tKDseCkPPlhARIcJzEkASmo4IeFgjtYSuiT5zHvGAmW0K+g3n6JIawpxPYxPUWTBkWcVKK4hePywpVe3n7KltQQPydmqGQsk3yD3yDBPGiqpISxMFgjloxNZgOVaOCHhUDichPhwYPZYpUvC9KzXCvqfChHaNrwVcD5FkSklzyrQ0gV8cW30r6Xb3nmJmxATJu9ZYyyQJsUCSWap59CDoSAilLgJi3mFjgVBjkXgXCNwrZ0HIQM55JKPMw3hSQEWYL4V9D1fNcPzsyPIXjn0FXQ+RZEpZUGygDkEcLhGv6Ku3wFI9+wyNyQs0IQQWJDgHdYe+8stgKsNHKPEgsJXz4a7SmckHolQUsPxHyy4fPfmcCaw+BRFphRziMCiZP/EgehyAMIJCFmwLUiQcLR26EedHuEjolkQ3RkLWCLB27AGUHaN0NLF+T9YcFmiBCZEScO6N/kURaYkX0JCotG1J7ocgHzdDNS28+wyC57sRC+ah3HUaUn3EdHJfEQ0CwIhBHJSOCHhQBwuQkSIvMWAsWDKTvQOawXEZrNh0+/kUxTNfIoiC7I8q0BtO3CucXSvo8sBSAkn5mFBljnWO6yjTktq+IhoFlw5FoGjtf45vUSPDjkJi1IEzCF8X7LgWpDgxfE6QvswMkzXzXwYC/7lM7TfaOVTFFlQ5VgETAKj3oalywFIcXdingROzMOCJDoUQz7qtM1DOFHHAegsuHItAq0e4FS90iVRHyLCYTfHfzBlZCd60SUBx68NrUPnlQgfVxFWp3N9ZcEXFy4wL3H0gei6HICU1Eg8u8yCLsdiGtIKyOd18hHROSm6vP2YSmUlCYQKzgfSlzPXgbp2jv9gypgVLyEqdOgr6J/XEeo7gNVpXF+ZMvKsJl4BuVVLF+FkvdwZZCyYclIEzjYC9YMcdVriJkSHArMTglQwxgBEhgpkJnEcSF8cLkKI4LhBpowwE5CdLIYcB/JhlZyvZhHXV6aQPKvAxWbgauvI2xPd9dKP1hAkAnL5xmRBNtSEhCU1hGxOQMgUkGsRfBJWHw65JGQmCsSG8z3JlOE7JGIoJwt9WEm49w5uQ5hylnb3d0azCqK7AUhJjTwzMIMTELIgK9tnR8gLi7BmWizmZmbBbrf3etxut2NuZhbefjAep/+vhbc9zlig5aQIfN0M1LTxIORmDhfHfzBl5VgEqm8AV1oG/r2GDsJntYTVabrrvjENsUQJZMTzAKSXEjdhUbKASXBjwoLnT3/6E9avXw9vdBK8DxXiVFciCgoKegYZdrsdBQUFONWVCKwtRG1IUq/HGQsG3yodb8P6xpUWwpUWID+V2wymnMVDTEj456vyLo9VHP/BFCbnAxl5TKGuBiBEciZbTkDIgu3Xv/kXiFkrgWf2Ait/DNq8F2LmvXju+Z0AgJ//4gWIWStBm7sff6b344wFQ3o0cEc0JyS8mW8GbymvgDAFpUQKTI4bfHLgoyoJM8cA6TFcX5myIk++g1N/twgRUdF97voYjK4GIOcagfqOb2b5GAuWiorzoJkrAd/KmxCgWffh7JmvAADnzp4Z8HHGgqEnIeEwkp7p3SEnYcYYIImPbWcKG+zeJCJ8WEVYna6rrhvTILvdjn/7348AMUnoePD2XR9DoataXFJDEOCTIVjwTZkyFeL0PsAXQEgEUf4xps2YAQDImDZ9wMcZC5acFIFjtYQuTkgIQD7LPs+qq6aQaVSOReBEHaGtn4SE5Q3A1VbefsWU59vV0d+uj6HQ1adusVvCrLFAPJ9kwoLs73/yf0Dl+yB2PQDsexHY9QDo9J+x49ltAIAd27eByvcBL8qPi1seZyxYci0C7V6gbIhJz/Ssrp3w1XWO/2DqkGsxwUNyno++fFQlITIEyOftgkxh/tjVoasBSImbePsVU8RDDz2EoqIizDE3IOS9Qpjb62G327Fu3ToAgM1mwwuvvgXcqEf43kLMMTf0epyxYMlMEgg3cSA6ABzujv/gE7CYGtw1FogO7T9G68Mqwt3jBCJCub4yZfljV4duBiCNnYTyBs4uzZRjs9lQdrwU/+/JZnT8wxHcff/DvR43L1iHyH88gpaWFpQdL+XBB1OEOUQgK4njQOx2O55ctQDYNAYP5S3gE+mY4kJNAguT+04W2tpFOOQk3n7FVMG3q8O362Mkuzp001v/rIZAAJ+AxRTnW4U7eksH70h3AsIwTh7FFGb0hIS+Y7HrQpOAtSMLoGQsEHIs8uTArQkJDzoJnRI4/wdTBZvN1rPrI2KEuzp0U5NL3IQEM5ARr3RJmNGd/LOckPCBDDkh4ZYtWzA3Mwt7HojHV5yAkKlAjkXgSgtQ3WrMQYg/AigZC4ScFAF3G3CpuffPP6wiTIzhPg5TD9+uj7YbrSPa1aGfAUgNYXGKgOAEhExBdru9V0LCk9c8+PWvf41TnQnA2kLUhXICQqa8nCEmPdMrPhabqdViS9/35kdVElalmbiPw3RDFwMQieTtLTl8/C5T2K0zqxAhwIx7QM+8zwkImWqMixYYH2N8qCJuAAANN0lEQVTchIR8LDZTq6QIgam3JCT8uolwrhFYnc59HKYfuhiAnGs2obGT4z+Y8m6bWXWdBe5axTOtTHVyLX0HuxqBPwIoGQsUXxyIz0dVEkIFsGIc93GYfuhiAHLsWghMAljIKyBMYT0zq5+/DTy/CPB2AV9+xDOtTHVyUgQ+ryN0eI03CPFHACVjgZJrESi7Rmjtku/Nj6oIuRaBOM5xxnQkVOkC+MPRayGYPRaICeObkylrx/ZtKCgoAMr3AWlz5AHIV58AL94vr4Sc+gB05gB2cAwIU1iORaBTAo7XGTN/ks1mg81mU7oYjN0mJ8UEL0korSPkpACfVBN+Nk8X88WM9dBFjT5Wb0KuRReXwjTOZrNhwp2TgRn3AKYQYOZKYOMfgRsNwLuFwJUTmHjnJJ5pZYqblygQGcIJCRlTm1ljgdgw+d4sdhNauvj4XaY/mq/R9e2E880hhpzBY+rkdjnl1Q7nV8CslUDWOmDbEeDfrgMP/Awul0vpIjKGMJPAgmROSMiY2oT4EhLWED6qIqREAnMTlS4VY/7VawCyefNmTJw4EUIIlJWV9fz8/PnzyM3NRUZGBrKzs1FeXt7vC7766quYOnUqJk+ejCeffBJdXV1DemykjnQ3nnwCFlOLjGnTgSNv9Bn/gVMfwJo6TtkCMtYtJ0VOSHhr0jPGmLJyug+J+KBSwqo7BEx8/C7TmV4DkPXr1+Pw4cOYMGFCr1/auHEjnnrqKZw7dw5bt27Fhg0b+nyxixcvYvv27XA4HKioqIDb7cbLL7886GMjZbfb8f37FgCbxqDg7gWcW4Gpwo7t24CqL+UBhy/+Y9+L8n/PHEBra4vSRWQMACBOvI3qny1CZHQM5mZm8WcoYyohff42ap9dhC/+egz+smkR35tMd3oNQPLz85GWltbrF2pqalBaWopHH30UAFBQUIDKykpUVFTc9mJ79uzBmjVrYLVaIYTA008/jTfffHPQx0bCbrejoKAANSFJwNpCnOpK5ARvTBVsNts3x+7m/M038R83GoDcx1BXV6do+RgD5M/Q//uHjwAxSeh4kD9DGVMLu92OnU/L9ybWFqJK8L3J9GfQGJDKykqkpqYiNFQ+MEsIgfHjx+PKlSu3/e6VK1d6rZ5MnDix5/cGemwgTU1Nvb46OjoA3J7wjTZzgjemJgIQJqDRCfysRI7/+FkJ0HD1m8EJYwriz1DG1InvTWYEqj+GNz09vdf3W7ZswdatW3H27BnQg4W3JXg7s7cQ9fX1wS+onzU0NChdhIAwznUREDkGOP3nb47g/fIj4KtPkD5hoibqqHHeK30Y7nWN5DM0ISGh39fbvHkz3nvvPVy+fBknTpzAvHnzAMgxhN/73vdQV1eH+Ph4/OEPf8CsWbP6fI1XX30Vv/rVryBJElasWIGXXnoJYWFhgz7GmJ6c6+fePLu3UMliMeZXgw5A0tPT4XQ64fF4EBoaCiLClStXMH78+Nt+d/z48bhw4ULP95cuXer5vYEeG0hlZSXi4uJ6vjebzTCbzZg2bTpOnd4HuvcZ+SbtTvA2fcaMARtJLdHLddzKCNc1YcJEXO6MAlqvAZc/B84fBsIiAQAv/stvNfNvoJVyDhdfF/z+Gbp+/Xps2bIFS5cu7fVzXwzhhg0bsGfPHmzYsAHHjh277fm+OMHjx4/DYrFg7dq1ePnll/GjH/1owMcY05uMfu5NTmDLdIX6MGHCBDpx4kTP98uWLaPXXnuNiIjeeustysrK6utpdOHCBUpNTSWn00mSJNFDDz1Ev/vd7wZ9rC+NjY0EgBobG/t8vKioiACQmHkP4ZF/kv8LkN1u7/c1taK9vZ22bNlC7e3tShfFr4x0Xb76iTvuIiSkE0yhBFMobdmyRcGSDp2R3is9GMl1ffMZem/3Z+i9fvkMvbn9cLvdFBsbS11dXUREJEkSWSwWOn/+/G3P+6d/+ifauHFjz/fvv/8+LVmyZNDH+tJf+6HX95+Ir02rBmo//H1vBpvR3je9CNa19RqAPPXUU3THHXdQSEgIpaSk0OTJk4mI6MyZM7R48WKaOnUqZWVl0cmTJ3ue8/jjj9O7777b8/3LL79MkyZNokmTJtEPfvAD6uzsHNJjtxpsAEIk36R3zZ1HECa6a+48zd2c/RnKtWuR0a6rqKiI5mZmUURkFM3NzNJU/TTae6V1I72uQNTRmwcgpaWllJGR0evx7Oxs+uSTT2573qZNm2jnzp0935eXl1N6evqgj/XF9+9RWVlJjY2NPV81NTW6fP+J9Fu3iYx5bVpuP3yM+L7pQbCurdcWrN27d/e5SjJt2jSUlJT0+dgrr7zS6/snn3wSTz75ZJ+/O9BjI2Gz2XDvvfciPj4enx462GurFmNKs9ls8olYjKmU3uvorTGEzzzzDACgvr4eHo9HiSIFTFNTEwC+Nq3p79ruvvtu3H333b1+Vwuxgzcz4vumB4G6tlu39qo+CJ0xxpg2qS2GsKOjA7t27UJCQoLuJqx8J1XytWkLX5s28bX54e8E7JVHiboz8/pGYv3xPT7Y72mJHq8J4OvSEj1eE8DX5Q+xsbEQQzxKOiUlBfPnz8cbb7yBDRs2oKioCGlpaZgyZcptv1tQUIClS5eisLAQFosFv//97/Hd73530Mf6Qv1kdvcd46639x/Qb90G+Nq0iq9NmwJ5bb3aj4Bu8BqFyspKOYiXv/iLv/iLv1Tz1d++YDXFEHL7wV/8xV/8pb6vm9sPQdTPVJHCJElCdXX1sGbbGGOMBZYWPpO5/WCMMfW5+TNZtQMQxhhjjDHGmP6YlC4AY4wxxhhjzDh4AMIYY4wxxhgLGk0PQM6fP4/c3FxkZGQgOzsb5eXlShdp1DZv3oyJEydCCIGysjKli+MX7e3tePjhh5GRkYG5c+di5cqVqKioULpYfnHfffdhzpw5mDdvHvLy8nDixAmli+Q3r732GoQQeOedd5Quil9MnDgR06ZNw7x58zBv3jz88Y9/VLpIftHR0YFNmzZh6tSpmD17Nh599FGli6RaemwzAH22G4C+2w5A3+2Hj97aEUC/bQkQ5PZkREdUqcTy5cvptddeIyKit956ixYsWKBsgfzg4MGDVFlZ2SubsNa1tbXR+++/T5IkERHR7373O1q2bJmyhfKThoaGnv+32+00Z84cBUvjPxcvXqScnBxavHgxvf3220oXxy/0dE/d7Mc//jFt2rSp5/5yOp0Kl0i99NhmEOmz3SDSd9tBpN/2w0eP7QiRftsSouC2J5pdAampqUFpaWnP6KygoACVlZWanx3Jz89HWlqa0sXwq4iICNx///09Jx8sXrwYly5dUrZQfjJmzJie/29sbNTFiTuSJOGJJ57A7373O5jNZqWLwwbQ2tqKV199FS+88EJP3bNarQqXSp302mYA+mw3AH23HYA+2w8fbke0J9jtiWYHIJWVlUhNTe3J2CiEwPjx43HlyhWFS8YGs2vXLqxdu1bpYvjNY489hvT0dGzfvh3/8R//oXRxRu23v/0tlixZgqysLKWL4nePPfYYZs+ejccffxy1tbVKF2fULly4gISEBOzcuRMLFixAXl4ePvnkE6WLpUrcZmif3toOQH/th4+e2xFAf20JEPz2RLMDEKZNO3fuREVFBX75y18qXRS/ef3111FZWYnnn38eW7duVbo4o/Lll1+iqKgIzz77rNJF8btDhw7h5MmTOH78OJKSkvC9731P6SKNmsfjweXLlzFz5kyUlpbiX//1X/Gd73wHbrdb6aIx5ld6bDsAfbUfPnpuRwB9tiWAAu1JwDZ3BZjb7abY2Fjq6uoiIiJJkshisdD58+cVLpl/6HGP4a9//WvKysrqte9VbyIiIqiurk7pYozYSy+9RFarlSZMmEATJkwgs9lMycnJ9NJLLyldNL+qrq6mmJgYpYsxarW1tWQymcjj8fT8bMGCBbRv3z4FS6VOem8ziPTZbhAZo+0g0n774WOUdoRIP20JUfDbE82ugKSkpGD+/Pl44403AABFRUVIS0vDlClTFC4Z68tvf/tbvPnmm9i3b1+vfa9adv36dVRXV/d8/8477yAxMREJCQkKlmp0fvjDH8LpdOLSpUu4dOkSFi9ejJdffhk//OEPlS7aqLS2tuL69es937/55pvIzMxUsET+kZSUhHvuuQcfffQRAODixYu4ePEiZsyYoXDJ1IfbDG3SY9sB6LP98NFrOwLoty0Bgt+ehAbkVYNk9+7d2LBhA3bu3Im4uDi89tprShdp1DZu3Ij3338fLpcLq1atQmxsrOaDJKuqqvCTn/wEkyZNwvLlywEAZrMZn332mcIlG53GxkY88sgjaGtrg8lkQnJyMvbu3aurQEK9cLvdKCgogNfrBRFh0qRJeP3115Uull/8/ve/x+OPP46tW7fCZDJh9+7duOOOO5Qulirpsc0A9NluAPptOwBuP7RKz20JENz2RBARBeSVGWOMMcYYY+wWmt2CxRhjjDHGGNMeHoAwxhhjjDHGgoYHIIwxxhhjjLGg+f8BK05t7ZXi5poAAAAASUVORK5CYII="
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "縦軸がゼロから離れていてもサンプル点間隔が変わらないことを確認できる"
},
{
"metadata": {
"trusted": true,
"scrolled": true
},
"cell_type": "code",
"source": "plot(\n FuncPlot.funcplot(x->1/(1+exp(-40x))-1, -1, 1, title=\"funcplot\"),\n plot(x->1/(1+exp(-40x))-1, -1, 1, title=\"Plots.plot\"),\n size=(800,300), marker=:circle, legend=:none\n)",
"execution_count": 13,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 13,
"data": {
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "曲率の小さな部分ではかなり手を抜く"
},
{
"metadata": {
"trusted": true,
"scrolled": true
},
"cell_type": "code",
"source": "plot(\n FuncPlot.funcplot(x->abs(4-abs(x)), -10, 10, title=\"funcplot\"),\n plot(x->abs(4-abs(x)), -10, 10, title=\"Plots.plot\"),\n size=(800,300), marker=:circle, legend=:none\n)",
"execution_count": 14,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 14,
"data": {
"image/png": 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ePwddvAKVPxFW5EHeRHTJR8y9b05Hvq8QQgg3+eN996JLVkCe8/6s8q11f5b4IYQQ1lReVopOGtdyhLp0TbuO02IXrKeeeopHHnmE1NRUJk2axNNPP02/fv3aXcCMjAwKCgpIC6qi27s5cKiSPz3/FpMnT273sYQQQrhPz3Mnw+1LGBJQRdDyHNKCqnA4HJa5P7cWP+a/IPFDCCG8LS4+AVWyArR2vtDBEWqltesIbVdTU0NkZCTV1dXNpmCdyN69lVz4jx7ERSqWjg885ftFx1RWVlpi+oTdST17htRz17ni7w1UHNSszgikqqrKo/V8qvhx/P93U2sS3mhgRIzijbESP9xNrjPPkzr3LKlv93KtASFxLKSMRxV/iC75qKkTq6317ZFM6EpBdmoAb2/WrKtud3tHCCGEm5Tt0/ytQpOdGtC03bqVGUoxK8WgYJNm836JH0II4U0XTZhMtzuWcLquJLgTI+geaYAAXD9MERMMjxWbnvpIIYQQx8krMokNgeuGWr/x4TItziCiGyyU+CGEEF719BqTgFGTKVy1ksOHDrL6u5Udmh7rsQZISKDijiSDF8pMquqkF0sIITxtb61mcbnJb5MMggJ8pwES3k3x6wSD58pM9h+R+CGEEN5wpFHz1xKTqcMVvYI7F0M81gABuCPRoN6EZ0ulF0sIITzt6TUmJnB7okdv/W4xI9ngQD28WC7xQwghvOHNjZrth2BWckCnj+XRKBQbqrh+mGJhsUm9Kb1YQgjhKUcaNY+XmNw4XNE7xHdGP1z6hyt+MViRX2xitn/vFCGEEJ2gtSa30GR8P0VydOdjiMe7wbJTA9h6EN7aIAFECCE8ZckGzY5DkJXS+Z4rb8lKMVhfA8u3SPwQQghP+tcuzbc/arJT3dN08HgDJDVaMbafYkGhSQd2ABZCCNFOzp6rRi4/Q5HU0/dGP1zOjTU49zRFbqFMwxJCCE/KLTRJiILxZ7gnhnhlInB2isHKHzX/2iUNECGE6Gqf7dCs2guz3dRz5U1ZKQaf7tCs3ivxQwghPGFjjWbZZk1WioHhpu3bvRKNLu+vSIhCerGEEMIDFhSapPSEsf18d/TDJXOwon8Y5BU2ersoQgjhFxYWm0R1h6nD3dds8EoDxFCKrBSDpZs0G2qkF0sIIbpK+T7N8i2+k3jwVAINxYxkg9fWa3YekvghhBBdqeaI5rkyk9sSDUID3RdDvDYeP3W4QXSQJCYUQoiulF9s0jsEpvhQ4sFTuTXBINCAJ9dI/BBCiK60qNzkcAP8Nsm9TQavNUBCAxXTkwyeLzOplsRSQgjhdpW1mhfLTe5INAh2Y8+Vt/UMUtwcZ/BkiUltg8QPIYToCo2mJr/I5Johin5h7o0hXl2ReEeSQV0jPCeJCYUQwu2eKTVp1DDdzT1XVjAz2WBPLby6XhogQgjRFd7dotm4H7dtvXssr0alPqGKKUMV+UUmDZKYUAgh3OZIo2ZhsckNwxSn+WDiwVOJi1JcMUCRV9QoW7oLIUQXyC00OT9WcVZvmzVAwJmYsOIgFGyUACKEEO7y5kbN9kOQ7cOJB08lO8WgsBL+sV3ihxBCuNN3P2o+3+m+xIPH83oDJD1GcUlfSUwohBDuorVmQWEj4/spkqPtN/rhMqavIi1atnQXQgh3yytsZFA4TBrYNTHE6w0QcPZifb1H85/d0gARQojO+mKn5rsf7ZF48GSUUmSlBPC3Ck35PokfQgjhDjsOaV7foJmRbBBg2LgBMmGAIi5SerGEEMIdFhSaJEXB+DPsO/rhct1QxWkhzu2GhRBCdN4TJSZBAXBLQtc1EyzRAHElJnRs0myUxIRCCNFh66o172y2T+LBUwkOVExPNHix3KSyVuKHEEJ0xuEGzVNrTH4VZxDZvetiiCUaIAA3DjeI6u5M9y6EEKJj8otMegXD9cPs3/hwmZ5o0GDCc2USP4QQojNeWafZWwszU7q2iWCZBkhYN8VtiQbPlZnUSGJCIYRot6o6zaJyk+lJBiE2Sjx4KrGhiinDFAuLTeplS3chhOgQrTV5RY1cOVAxNKJrY4hlGiAAdyYZ1DbC89KLJYQQ7fZsqUm9CXckWurW7hFZKQFsPQgO2dJdCCE6ZMU2TXFV1yQePJ6lolTfMMUvh0hiQiGEaK96U/NYscn1wxSxof4z+uGSHqMY00eRWyQdWEII0RF5RSYjY+DC07s+hliqAQLOxISbD8CyTdIAEUKItnprg2bbQec91F9lpxp8tVvz5S5phAghRHusqdK8X6HJSvHMBiaWa4CM7KW4uI8zMaEQQohTcyYeNBnbT5HqxcSDgwYNIj4+nhEjRjBixAiWLFni0c+fOEAxLAIZBRFCiHZ6rNjk9BC4dqhnYkigRz6lnbJTDa76sJEvd5mcG2u5NpIQQljKv3ZpVv6oee9y749+LFmyhBEjRnjlsw2lmJVikPUfky0HNAPC/W8qmhBCtNfeWs3icpP/GWEQFOCZ+6Yln+6vkF4sIYRoswWFJolRcJkfJB48lZviDMK7weOypbsQQrTJM6UmJnC7BzcwsWQDxJWY8K2Nms37ZS2IEEKcyPoazbJNznm7hgUSD954442kpqZyyy23sGfPnhO+r6amptm/uro6t3x+eDfFrxMMnik1OVAv8UMIIU6m3tQ8XmwydZiid4jnYoglp2CBsxfr/m9NFhab/O+53p9WIIQQVvRYkUl0EEwd7v3Gx+eff86AAQOor6/nvvvuY9q0abz33nutvrd///7Nfr777ru55557qKqq6nQ5pvZT5BaG8cTqA9w6tL7Tx7Mzd9S3aB+pc8+S+j65t7YEsv1QCDf1P0BlZedHjk9U39HR0c1+tmwDJKyb4jcJBk+WmMw906BHF6aDF0IIX7SvTvN8mUl2qjUSDw4YMACAbt26kZWVRVxc3AnfW1FRQURERNPPQUFBBAUFAS0DVXtFR0Pm4Aae2xDM784Kt8TIkJV1tr5F+0mde5bUd+u01jz7WSPj+sH5g6Pcdty21Lclp2C53JlkcODrpSSkjyIkNIz0kaNwOBzeLpYQQniVw+EgfeQoekeFczBnNIPWLvN2kTh48CD79u1r+vm1115j5MiRJ3x/REREs3+uxoe7ZKUYrK2B97bINCwhhGjNv49uYJKV4vnmQItP9PY2isf6+sOlmE9ey3ajF7VX5FBYH0NmZqY0QoQQfsvhcJCZmUlhfQwNP8+B8F7cOuUXXr8v7tq1izFjxpCWlkZqaiqfffYZL730ktfKc16swejTJDGhEEKcSF6RSXwkXN7f86PESmvdrHto0KBBLFu27KTbKNbU1BAZGUl1dXWzIfQTqays7NDwV/rIURTWx6BnLgelQGtU/kTSgqpY/d3Kdh/P7jpaz6J9pJ49Q+q5de6+L3q6nk8VP9xZntfXm1z3j0ZWZwSSHiPTsFoj15nnSZ17ltR36zbt1wxd0sBff2Jwe5L71lq3tb4tPQWrvKwUnTTOGWQBlEInj6esdI13CyaEEF4i98W2yxysOCMM8osavV0UIYSwlIXFJpHdYepw7zQFWv1Ub2+j6BIXn4AqWQGuQRqtUcUfEp+Y6NbPEUIIXyH3xbbrZihmJBu8sk6z65CsBRFCCID9RzTPlZrclmAQ1s07o8MtdsFyxzaKx+voFmizs2Zy0003ofInoJMvg6IP0Gs+ZvbixVRWVnbomHYmW815htSzZ0g9t851XyRvAqRchir+AF3S8ftie+rZF6cx/DrBYN53Jk+tMZk7SrZ0F0KIReUmhxrgt0nemwjVogHirm0Uj9eRwDVt2jR69OjBAw/Op/jdHBpiE3j6lQJunJLR7mP5C198QPBFUs+eIfXc0oWTb0R9FULfzx5m7/Ic4hMSmetwMHny5A4f08713DNIcVOcwRNrTO5JNwi2wHbFQgjhLY2m5rFik6uHKM4I9979sFkD5ODBg9TX1xMV5dwLuK3bKHaljIwMMjIyOFCvOePVBtYNtfSyFSGE6FKPFZv0PHcy5Y9dTag8TLfJzGSDJ0pMXluvuTle6kwI4b+Wb9Gsr4FXx3j3ebrZp1ttG8VjhR9NTPhMqcmBepnLK4TwP9VHNM+VmdyeaEjjox3ioxQT+yvyiho5buNHIYTwK7lFJj+JVZxzmncbIM1GQIYMGcKqVau8VZZTmpFssKDQZFGZyYwUmcsrhPAvz5ea1DV6d96ur8pONRj7XiOfbNdc0k8ab0II/7PqR81nOzRvXur9Z2ifimL9wxVXD1HkFZk0mtKLJYTwHw2mJr/Y5JdDFH3D5AG6vS7pq0iNdibeEkIIf5RX1MjAcJg0yPsxxKcaIADZKQYb9sO7W6QBIoTwH0s3abYcgOxU7/dc+SKlFFkpASzfollbLfFDCOFfdh7SvLZeMyPZINCQBki7nXOawU9jFQsKpRdLCOE/FhSajOmjGNnL+4HDV00ZqugVDI/JKIgQws88UWISFAC3Jljj0d8apWin7FSDL3ZqVu6RICKEsL//7DL5crcmO9Unb9mWERyomJ5ksKjcZF+djIIIIfzD4QbNk2tMbo4ziOxujU4sn4xmVw1UDO4BuTIKIoTwA7mFJsMjYOIAawQOXzY90aDehGdLJX4IIfzDq+s0e2udW5JbhXVK0g4BhmJWisEbGzRbD0gvlhDCvjbt1xRs0mSlGhhKGiCddXqo4rqhioXFJg2ymYkQwua01uQWNfLzgYphkdaJIT7ZAAH4VZxBaCA8XiK9WEII+1pYbBLZHaYN99nbteVkpQZQcRAcG6UBIoSwt4+3a4qrnJs4WYm1StMOPborfp1g8PQaSUwohLCnmiOaZ0tNbkswCOtmnZ4rXzciRnFxHyVb8gohbC+30CQ9Gi7qY60Y4rMNEHAmJtxfD4vLJYgIIeznhTKTww1wp4Xm7dpFdqrBf3Zrvtot8UMIYU+l+zTvVWiyUwNQFpvC69NRbWAPReZgZy+WqWUURAhhH42mJr/I5Nqhin6SeNDtrhigGBohm5kIIezrsSKT2BD45VDrxRCfboAAzE41WFcDyyUxoRDCRpZt1mw6ANkpkniwKxhKMSvZ4K2NmgrZzEQIYTOVtZrFa03uSDIICpAGiNuNPs3gJ5KYUAhhMwsKTS7qoxjV23qBwy5ujjcI7waPF0v8EELYy7OlJo0abk+05qO+NUvVTtkpBp/t0Hz3o/RiCSF831e7Tf69S1tu1xK7Ce+muDXe4JlSk4OymYkQwibqTc3CEpPrhypOC7FmJ5YtotukQYpB4ZBb2OjtogghRKflFpoMi3CuUxBda0ayQU09LF4royBCCHt4a4Nm20HnluNWZYsGSKChmJli8Pp6zbaD0oslhPBdWw5o3tqomZViEGBIA6SrDeyhyBykyJfNTIQQNuBMPGgytp8iNdq6McQWDRCAW+INQgLhr5KYUAjhwxYWm/ToBjfF2eb2bHlZqQbl1fB+hTRAhBC+7T+7Nd/s0WRZfAqvtUvXDhHdnXN5n1ojc3mFEL5p/xHNM2tMfpNgEC6JBz3mvNMU5/RWsiWvEMLn5RWaxEXCz/pbO4bYpgECMDPFoPoIvCRzeYUQPmhRucmhBue6BOE5SimyUgw+3q4prJQOLCGEb9q8X1OwyTmF17BY4sHj2SrKDeqhyBjk7MWSubxCCF/SaGryikyuHqI4I9zagcOOfjFEcUYY5MlmJkIIH/V4iUlkd5g23PqP99YvYTvNTjVYWwPvSWJCIYQPeWezZuN+5z1MeF43Q3FnksEr6zW7D0v8EEL4lgP1mmdLnVN4w3xgCq/tIt15sQbnniaJCYUQvmVBockFpyvO6m2727LP+HWCQYCCp9ZI/BBC+JZFZSYH6uG3Sb4RQ3yjlO2UnWLwyQ7N6r3SiyWEsL5v9pj8UxIPel10sGLacIMnSkzqGiV+CCF8g6k1+cXOKbz9fWQKry2jXcZgxQBJTCiE8BG5hSZDesCVA30jcNjZrBSDXYfh9fXSABFC+IblWzTra7D81rvH8p2StkOgoZiZbPDaes2OQxJEhBDWVXFA88YGSTxoFfFRign9FbmFjWjZzEQIYWEOh4P0kaOYHN+D0D+PZts/l3m7SG1mywYIwK0JBkEB8NdimcsrhLCux4tNwrvBzZJ40DKyUw0Rf/aBAAAgAElEQVS+r4TPdkgDRAhhTQ6Hg8zMTArrYzCvzOFwcC8yMzNxOBzeLlqb2DbiRXZX3BJv8OQak0MNEkSEENZzoF7zdKnJrxMMenSX0Q+ruLSvIqUn5BZJB5YQwprm/ekhVPI49MzlMC4LPWs5KmksDzw439tFaxPbNkAAZiYb7DsCL0tiQiGEBb1Y7ty1xE6JBxctWoRSimXLfGcqwPGciQkDeHezZl21dGAJIaynvKwUnTQOXAkHlUInj6esdI13C9ZG9ol6rRgSoZg0UBITCiGsx5V48BeDFQN8ZNeSU9m0aRPPPvss5557rreL0mlThinCC5dy7jmjCAkNI33kKJ+Z2iCEsL+4+AQoXgGu51utUcUfEp+Y6N2CtZGtGyDgTOpVVg1/r5AGiBDCOly7ltgl8aBpmtx6660sXLiQoKAgbxen095/Zyn7F17L3sBe1F6RQ2F9jE/NrxbW41ow3PeM/tKgFZ32P/feCyUrIH8irMhD5U9El3zE3PvmeLtobWKPyHcSP4lVDFu3jGsvOUt6sYQQXte0a0mCc9eSrT60a8nJLFiwgPPPP59Ro0a16f01NTXN/tXV1XVxCdvHNb+aWUfnV8/0rfnVwlruvvtuMjMz+aGuJ3VX5FB4JFoatKJTDqVNhtuXkBBYRfDyHNKCqnA4HEyePNnbRWuTQG8XoKstXbqUdX+5BpLGwRXXUViygszMTAoKCsjIyPB28YQQfsS1a4lKHoe+MofDxfa4HxUVFVFQUMDnn3/e5r/p379/s5/vvvtu7rnnHqqqqtxdvA4pKytFX5HTYn516fIcKisrvVo2d7JKfdvZu+++yyOPLoDES+HC38D7f0bvLIOQKLJm38XFF1/s7SLamh3Pca3h0dWhXD7x57zy0Nhmv/P2/elE9R0dHd3sZ6U7sNF5TU0NkZGRVFdXExERccr3V1ZWtvhgT0kfOYrC+hjnLgFKOefI5U8kLaiK1d+t9EqZuoo369mfSD17hh3r2Yr3I3fU85NPPskDDzzQNPVq586dREREMG/ePKZPn97sva74UVFR0Sx+BAUFERQUZJn/7yf8fxVcxepv7RM7rFLfdpY+chQ/FP4A51wH/3nZ2SGaPA6KP4SSj3y+A8Lq7HiOf7zNZOx7jfxjYgBj+lprMlNb67vVUtthFxMXX98lQAhhH3a9H02fPp0dO3awadMmNm3axLnnnsszzzzTovFxrIiIiGb/rLZuZO79c9DFK1BH51eT51vzq4V1lJeVQkQf+P5dSBrbNK2PWX+DhEtkWp9ot9xCk7RouLiP725g0qIBYqddTMC5S4Aq8d1dAoR1yAJC0Vm+vmuJP8nIyKCgoIC0oCq6vZsDhyp5eNFbPjO/WlhHXHwChPWEwzWQPB5WLYMHR8OMnrBrLSXFhd4uovAh5fs0f6vQZKcGoJRNGiB228UEpBdLuEfTAsI99dQFx/BD4Q9kXn0Nd999t7eLJnzIPf/j27uWtNWnn37KpEmTvF2MTsvIyGD1dys5fPAAQx/+ktUDrvJ2kYSPcTgc7K2qgq0/QPcQ+PfL8NS1EN4LrsqB0+OoP3JEOrREm+UXm5wWAr8c4ruNDziuAWK3XUygeS9W9+U5cKiS6Y9JL5ZoO4fD4VxA2C8VthVC3X5QARDUg0ceeUQCh2izfSmTUNOXkNjNN3ct8VcBhmJmssGbGzRbD8iW7qJtXJtObAsbBudNdY587ihxLka/4Fb46jVY/x8IiWL2737v7eIKH1BZq3mx3OSORIPgQN9ugDTtguXOXUyO5+0dCC6++OKmXSZu/E8wH+832Lu3Eh8euWqVt+vZrmbN/h2gYN925wuDznIOox9dQCi7mHQNu53PpoYF34dx5RVX8MKD1tm1pD31bLeFnO1xc5zB/StN/lpi8v/OCfB2cYQPcG3l3LSRwU3PwfQwiOoLT1/rXIx+1XVQ/CGbSz7C4XDIYnRxUs+VmTSYcHuitRaed0RTA+SLL75g06ZNDB8+HHDuYvKb3/yGHTt2nHAh4Yl2MWmNVQLXPWeaXLi8kW8ORXF5f9//H3g8q9SznWzbWgGRfaB6x9EFhH9zBpOxsyBvAlvXfi713kXsVK/vbjZZf6CR/7ukG9HRod4uTjN2queu0qO74tYEg6dLTe4baRDWzWY9WMLtylvZypnIPrD6mMXorliS+zMeeHC+NEDECdWbmoXFJtcPU8SG+v79p+kJ3I67mLTmp6crzuqlWFBoersowkdolHMBoTZbLiDcWY42G71dROEDFhSanHua4txY+3V8+IsZyQbVR+DltRI/xKm1tukEYT2h9uhi9GMbJqmX+/xueKJrOTZqth6ErBR7jMD6XSRUSpGdarBim6awUubyipNzOBxgNjoXEAYGtbqAENOUdSDipFb9qPl0h2Z2qt/dcm1lUA9FxiBFXpGJ2f4UWsKPOBwOduytcm46kfuzpk0n2PoDMb17Q9EHshueaJfcIpNL+irSYnx/9ANO0gCxyy4mrbl6iKJfGOQVSs+1OLl5f3oIzkhx/qDUfxcQuvZxz3oPlXip7OMuTiq3sJGB4TB5kD0Chz/LSjEoq4a/V0gDRLTOtfh8T4+ji8+3fAdv/YEBtZtwOBw8+peHYc3HzgbJolsgKxa95h/s27dPOrNEq/6zy+Sr3ZrsFPt0Ytnnm7RDN0MxI8ng/9Zpdh2SICJOrLysFM69AW5fAn0SnD1WKZc1TySXcpkMnYsT2n5Q8/oGzcxkg0BDGiC+7iexirN7O0dBhGiNa/E5s5bDzc9D7i5U4iVERUYyefJkfv7zn1NQUMCAwxucmdEHjYJf/JktIUPIzMyURohoIa/IZHgETBhgnxjilw0QgN8kGgQa8OQaCSLixJrm8I6cBHO+hP7pMnQu2uWvJSbBAXBLgt/ebm1FKUVWinMab5FM4xWtKC8rRSeNa95RlTy+WUdVRkYGkZFRzoZK1nswLgs9czkqaayMqItmthzQFGzUzEoxMGy0favfRsSeQYqb4wyeKDGpbZAgIlpyOBzsqWw+hxez0Tl0njdBhs7FKR1q0Dy1xuSWeIPI7vYJHP7u6iGKvqGQXyTTeMV/ORwO0keOou5IfZs6qtrSUBHi8WKTHt1gWpy9Htnt9W3aaVaKwY+18Mo6aYCI5lxzeHeEN5/DO7D7IWbMmMGA2o0ydC5O6aVyk31HYGayX99qbaebobgz2eDldZo9hyV+iP/GjML6GPQ5v4Q1H0Pu5U2Lz3XJR8y9b06zv4mLT0CVrJARdXFCB+o1z5Sa/DrBINxmW3/7dVQcHqm4cqBiQWEjWnY0Ecc42RzenJwcGToXp2RqTW6RyeRBisER9gocAm5LMDCAp2Qar+C4pIM3Pw+3LYEtq1COe0kLqsLhcDB58uRmfzP3/jno4hXOxegr8uCBs9Gln1BSXEz6yFHSoSVYXG5yoB7utGEnlv2+UTtlpxqU7IMPt0oDRPzXqYbGZehcnMr7FZryamTrXZuKDlZMOzqNt65R4oe/axETRk2GifcS1L07q79b2aLxAc51IAUFBaQFVRH49n2w7QdIGEP9lQ9QWB8jo+p+ztSa/CKTzMGKAeH268Ty+8h44emKM3s591cWwmVYKwmkjh0al6FzcSoLCk3O6a047zT7BQ7hNCvFYOdhWLJeGiD+rqMxISMjg9XfrSQpKQWSxsGsv8mougDgb1s0a2uw1da7x7Lnt2oHpRTZKQF8sFVTLDuaiKMu/NX/QMl/h8aPn8PbYug8r/U5vsI/fb9X84/tzsSDyka7lojmEqIUP+uvyCuSabz+zOFwUL2vCl3cPOlge2JCeVkpJMuouvivvCKT0acpzo2156O6Pb9VO11zdEeTPNnRRABaaz7rcxVn3fcGaUFVBC/PaTGH99ih8+DlOfSor2TQ3W/YNnmnaJ/cwkb6h0HmYGl82F1WisGqvfD5TmmA+CPX4vMtYa0nHWxt6lVrZFRdHMvViWXX0Q+AQG8XwAq6Bzh3NJn3nclDZ2tOC5GHBn+2YpumuAo+mZ7JxX+6+oTvy8jIICMjw/k3W03Gv9/Ipzs0Y/rK+ePPdhzSvLpeM/9sSTzoD8b1UyT3hLxCk4v62PdhQbSu2eJzpZwNh/yJRAVVtbnxAc5R9czMTOfISfJ4VPGHzhEUWQPil/KLGjkjDDJs3Ikld8ujbkswCFCyo4mA3EKTETFwUZ+2X/hj+ylSejr/Vvi3J0pMggLg1ni5vfoDZ2LCAN7erFlfI6Mg/sZdG5K4RtVTg6pQb+cQWV/ZrhEUYR+7DmleWaeZkWzQzcadWBIhj4oOVtwUZ/BXSUzol1wJpIJCw/j77edwwfa32zV3XynF7NQA3l3mICF9FCGhYbKNoh863KB5ssTkV3EGUUH2DRyiueuHKWKC4THZzMTvuHPqVEZGBt9/t5Lcb2s4cPeXnDNepvT6oyfXmAQa8OsEez+i2/vbtdOsZIPdh+E12dHErxybQOrIFTkQ3ouFM65ud+Mh5Iel8NS1lDXEUHtFjmyj6IdeXquprHPujiT8R0ig4vZEgxfKTaqPSPzwJ64NSchrfcOSjrg5ziAkEP5aIg1af1PboHlyjclNcQY9bd6JJVHyGHFRip8PkMSE/qbZHN5xWTCrY9sf/r/5849uo7hctlH0Q6bW5BU1MmmQYogkHvQ7dyQZ1DXC86Xy0OhPrpw0mZisJfRsrGx1w5KOiOiuuDXe4Ok1JodkRoZfeW29ZvdhZ4e43dn/G7ZTdqpBURV8tE0uen/hrjm8so2if/tgq2bNPkk86K/6hCp+OUTxWLFJgynxw184Nmr2Jk3mk3+v5PChgydMOtheM5IN9h2Bl8qlQesv9NFOrIn9FXFR9u/Ekkh5nIv7KEbESGJCf+KuObyyjaJ/W1BoclYvxfmx9g8conVZqQFsPgBvb5YGiL/ILTIZ00eRHuPe635whOLsimVkXXE2wbKm0C98sl3zQ6WzI9wf+Me3bAdXYsL3KzRrqiSI+AN3zeE9PjmhO+YCC99QWKn5aJskHvR3Z/ZSXHi6kt3wbO7YTUu+nHkOo7ct65LP+OqBa6gL6UWdrCn0C7lFJqnRcImfbOUvDZBW/HKook+oMwulsL/Jkycz4HdL6FHfuTm8xyYnNN7JIbi2koKCAtlG0Q/kFjr3bP/FEP8IHOLEslMN/rVL880eiR921NqmJX++vf2blpyKa22irCn0D2urNcu3aLJSAvymE0saIK3oHqC4M8ngpbUmP9bKKIjdfbxdsyVuMss+/abTc3gzMjJY/d1K3l+3n8N/+JKY82QbRbvzlz3bRdv8fIBiSA9nYkJhP+7atORU3LU2UfiG/CKT3sEwZaj/xBBpgJzAbYkGCnhKtsGzvdxCk7Ro3JrB3JUdWaZi2N8TfrJnu2ibAEMxM8XgjQ2abQelA8tuPNUwkDWF/qOqTrOo3GR6kkFwoDRA/F5MsGJanMHjJSZ1jRJE7GpNlea9Cs3sVPcOe7rWEr2zWbO2Ws4fuzo28aDd92wXbSd5HOzLUw2D49cUkidrCu3quVKTBhOmJ/rXI7l/fdt2ykox2CWJCW0tv8gkNsS57sfdrh+m6BXs/AxhT6+s0/xYK4kHRXOSx8G+uiLxYGuOXVMYtDwHdaiS6x55S9YU2kyDqVlYbHLdUMXpof7ViSVR8yTioxQT+ytyJTGhLf1Yq1m81uTOJIOgAPdf+MGBijuSDBaVm1TVyfljN1prcgsbuXKgYlikfwUOcWquPA4vr5UOCDuZNHkyfWYvIbLBfYkHT8S1prD20EF+/fLXfHL6lRyRGRm24tioqTjo3MLb30gD5BSyUw1+qIR/bJeL3m6eXuN8MLg9qesug+mJBg0mPLNGHkLs5sOtmhJJPChOYHCEYtJARV6RiSkdWLbx3hbNjoTJvPdF5zctaY+sFIOdh2HJBjmX7CS3yDyaf87/OrEkcp7CJX0VadGymNhu6ho1jxeb3DjcoFdw1134saGKG4YpFpaY1Et2ZFvJLTI5sxdccLr/BQ7RNtmpBqX7nI1VYQ95RSbn9Facd5pnr/vEnorLz5AZGXby5S6TL3drv0k8eDz//NbtoJRidmoAf6vQlO6Ti94uXl+v2XnY2avU1bJTA9h2EN6UnivbKKrUfLDV/ZsXCHs5P1YxqpckJrSLH/ZqPt6uyUrxTsLRrBSDVSuWMjztLEIkO7rPyysyGRoBVwzwzxgiDZA2+OVQRWyILCa2C9fc/Z/1VyT27PoLPyVaMa6f8yFEeq7sIa+okb6hcPVg/wwcom2UUmSnGny4TVNcKde+r3JlPj+zXziB80cTsHqpV8px4Oul8NS1rDdjqJXs6D7L4XCQmD6KJRMiOZwzmmVLvXM+eZs0QNogKEAxZufbPH392QRLr4PP+2S75vtKz87dn51qsPJHzT93ykOIL3M4HCSPGMXz4yIxHxzN8rf9M3CcyPjx40lLS2PEiBFccMEFrFq1yttF8rqrByv6hEJ+caO3iyI64NjM541X5tAQ2otrr/6FV54BHnhwPipJsqP7Mtf5VNoQA1flsCOgl982IqUB0gYOh4PXf381OrwXddLr4PNyi0xSo+FSNyYePJXLzlAkRjk/W/gmV+AoqXcGjl1+HDhO5I033uCHH35g9erVzJ49m5tuusnbRfK67gGKO5MMXl6r+bFWOiB8jacyn7dFeVkpOlmyo/sy1/kkjUhpgLSJnDD2UbZPs3yLJjvFs3P3nVMxAli2SbO+Rh5CfJHcB04tKiqq6b+rq6tlfcxRtx1NMPa07IbnczyV+bwtJDu677PS+eRt0gBpAzlh7CO/yOS0ELiuCxIPnsoNwxQxkpjQZ8l9oG1uvPFG+vfvz/3338/LL798wvfV1NQ0+1dXV+fBUnpWTLDixuEGfy0xJY+Dj4mLT0AVW+Oh//js6F2VBFF0nbj4BLDI+eRtgce/MH78eHbu3IlhGPTo0YPHHnuMkSNHeqNslhEXn0BhyQr02FnOhw8/PmF8lcPh4P4HHqJkTSmxg+N5L/Q+MjIyPFqGkEDFxTve5vH75/PM7jLi4xOYe/8cj5dDdExcfAI/FK8AuQ+c1EsvvQTA4sWLueeee3jvvfdafV///v2b/Xz33Xdzzz33UFVV1eVl9IZp/Q2eKQ3jhcL9XDOgwdvFaWLX+naX2VkznVMJ8yZAymWo4g/QJR8ze/FiKisrO3TMjtb5xRdfzIsvvsgjC/JY804OAX0TeGbxYi666KIOl8UfWOkcv3RaFj9k34jKn4BOds/5ZDUnqu/o6OjmL+jjVFVVNf23w+HQaWlpx79FV1dXa0BXV1e3+F1r9u7d26b3WVVBQYEGtEoaq7n6L5rEsRrQDofD20Vrxtfruau4/v+RNE5z9V+0Sh6nAV1QUNCh43W0nt1dDruz2vn8x2febHYfUEnWvA+0V1fWc3BwsP7xxx+bveaKHxUVFbq6urrpX21tbZeXx9tGzHlDBw8ZqYNDQnXaiDMtce3bub7d4R/bGjW3L9FDUkbp4JBQnT5yVKeveXfU+crdpuaZI7pgQ2Onj2V3VjrHL11er4fd/YZOH+m+88lq2lrfLRogx1q0aJFOT09v8bq/NUC0dj48uk6Y4CFn6rPuf9PbRWrBDvXcFdJGnOl82H+6TvPMEc3TdVoljdXpI0d16HgdrWd3l8PurHY+/+z9ej3o90tsFzjcVc9VVVV627ZtTT8vXbpU9+vXT5um2ex9p4ofVvv/7i5W7YCwa327y5Uf1OuUN4+0OI87w111fsE79fqnb9e75Vh2ZpVz/PsfnY3GV9fau9HY1vpuMQULnHN4P/nkE4ATDp+Dcw7vsYKCgggKCjr52IyPysjIaJoqs6jM5FefN1K+TxMXJYssra68rBR9RU7LufvLc/yyHKL91lRp3q/QvPTrXzD1L9d4uziWVF1dzdVXX83hw4cxDIPevXuzfPlyWYh+VLPdlJRCj52Fyp/IAw/Ol2mYFrWuWvPuZs2zF1gz4WhWikHmR42s3GNyVm9Z0mt1+UWN9AuDXwyx3rnkDa02QDo7h/d4Vpp/5w6XRUPvoDAe/vYQj4y0zsJJu9WzuwwZNpyS4g+Pm7v/AcOGx3VozmVH63nosOGUlHx43FqijpfD7qx0Pj/8XRCxwYGM67kfu/2vak89t5jDe4yBAwfy9ddfu6NItiQdEL4nv8gkJhimDLPmA+NVAxWDezgzav/fGGmAWNnuw5pX1mtyzjToZljzfPK0VhsgLtOmTeP2229n7969xMTEtPh9RUUFERERTT+fbATkZIHLF92Z0sifVxs8cn4o0cHWOZnsVs/u8MtZ9/HHW6927hiSPB5V/CG65GMecDg6XF8d+bsHcv5IZmZmUzko+hC9pnPlsDsr1Muew5olWxq4f6TB6b28X56uYIV6tjvZzMS37KvTLCo3mZ1qEBJonRh/rABDMTPZ4PdfmfzlHE3fMGuWU8BTa0wCFPwmQRqKLs1qYt++fWzfvr3p52XLlhETE3PC4BQREdHsn12nX7Xm9kQDE3i6VLZUtbqV/SfR/3dLSAuqInh5DmlBVTgcDiZPnuzRcmRkZFBQUNBUjqDaSkb/8U2Pl0O0z1NrTBT/zeUgREccv4UqebKFqpU9V2ZyxIQ7kqx93f8q3iAkEP5aIs8iVlXXqHmixGTacMNSHdbe1mwERObwtt1pIYqpwxSPF5vclWrQPUDqyIrWuubw3vILbnnE+3P3j11L9PSaRu74l8mGGs2QCDl/rKiuUfPXEpNpcQYxEjhEJ7g6IB54cD6ly3OoOy2Bm3Pfkg4IC2owNQuLTa4bqjg91NrXfUR3xS3xBk+tMZkz0iDUoqM1/uy19Zpdh2FWirUbs57WrDZcc3gLCwv5/vvv+eijjxgxYoS3ymZ5WSkBbD8Eb2yQxFJWlV9k0isYrrfgHN6pww2iusNjxdJzZVWuwJElgUO4QUZGBqu/W0ntoYNcv+grPj39ShpNiR9Ws3STZssByE4N8HZR2mRGskFVHfzfWjmXrEZrTV5hIxP6K+Jl06JmJKp2QnK04rIzFLlFjWgtF77VVNY65/DekWQQbMFeodBAxfREg+fLTKqPyPljNVprcgsbmSiBQ3SB7JQANu6HtzfLtW81eUUmF/dRjIjxjet+SIRi0iBFnjyLWM6nOzTfV0onVmukRjppdqrBdz/C5zvloreaZ0tNGkyYbuG5+79NNqhrhOdkLZHl/GO75odK5zUuhLuN6q244HRFXpFc+1by9W6Tf+/SPvfAmJVisGYffLhVnkWsJK/IJKUnjO3nG41ZT/KtK8yCxvVTJPeE3EIJIlZSb2oWlpjcMEwRa+E5vH1CFdcNVTxWbNIgUzEsJbfQJC0axvS17vkjfFtWisEXOzXf7pFr3ypyi0yGRsAVA3zrur/gdMWZvZzlF9bgyiOTlWLNPDLeJg2QTlJKkZ0SwDubNeuqJYhYxZsbNNsO+sYc3uzUALYcAMdGOX+sonSf5m8VmtmpEjhE17lqoGJQOOQVNXq7KALYekDz5gbNzGSDAB/L1aCUIislgA+2akqqJJZYgdXzyHibNEDc4Pphil7BzpNNeJ/WmkcLGxnXT5ESbf0Lf0SMYkwfJT1XFpJfZBIbAr8cav3zR/iuAEMxM8Xg9fWa7QflodHbHi8xCQuEm+N889Ho2iGKPqHyLGIFrjwy0xOtm0fG23zzKrOY4EDFHUkGL5SbVNVJEPG2L3ZqvvvRt+buz041+HK35j+7JHB424+1msXlJncmGQTJ9tqii90ieRws4WC95plSk18nGPTo7pvXffcAxW+TDBa9XkDyiFGEhIaRPnIUDofD20XzO648MtMtnkfGm6Rm3GR6okGDCc+skSDibbmFJolRcNkZvhNEJgxQxEXCAllL5HVPrzHRwO0SOIQHuPI4PL3G5FCDdGB5y0trTaqPwJ3Jvn3d9ytbRv0T11JSH0PtFTkU1seQmZkpjRAPOjaPTB8Lr0H1Nt++0iwkNlRxwzDFwhKTellM7DXrqjVvb9Zk+9jcfUMpslIMHJs0m/bL+eMtdY2ax4tNbhxu0EsSDwoPmZFsUCl5HLzC4XCQPnIUvz0zgh4Pj+a7FUu9XaROyX14PiSNg1nLYVwWeuZyVNJYHnhwvreL5jdceWSyUqy/BtWbpAHiRlmpAWw76FwALbzjsWLnoq8bfHDR143DDSK7w2Myf9drlqzX7JTEg8LDJI+DdzgcDjIzMyk8EoO+MoeaoF4+P1pQXlYKyePA1QGnFDp5PGWla7xbMD+SW2hyUR/FyF6+9xziSRJl3Sg1WjGunyK30JQg4gX76jQvlPnuoq+wborbEw2eKzOpkcSEHqe1JreokZ/1VyT29L3zR/g2yePgefP+9BAqeRzaRqMFcfEJqJIV4HoG0RpV/CHxiYneLZif+Gq3yX92a7KlE+uUpIbcbHaqwcofNf+UxIQe4xpC7x0VzsGc0Qxcu8zbReqw3yYZHPx6KQnpsoDQ0z7doVm917c2LxD2IXkcPK+8rBSdZK/Rgrn3z0EXr0DlT4QVeaj8ieiSj5h73xxvF80v5BWZDOnhe3lkvEEirZtddoYiMUqCiKc0DaHXx9Dw8xwI78WtU37hsw/tX32wFPPJa9lh9JIFhB6WW2iSGg2XSuJB4QWunFKSx8Fz4uIToNheowUZGRkUFBSQGlSFeieHiPpKHA4HkydP9nbRbM+VR2ZWiu/lkfEGaYC4mVKK7NQAlm3SrK+RINLVmobQZzqH0Jnl20Poru8jCwg9q3yf5t0tmmzJWCu86BrJ4+BRWXffCyX2Gy3IyMjg++9W8uSqGvbf/SUjLp3k7SL5BV/PI+NpUktd4IZhihhJTOgRdhtCt9v38RV5RSanhcB1knhQeJErj8NLa0321koHVlfbGj+J7ncsIal7FcHLc0gLqrLVaMHU4QZR3Z2bs4iu5cojc6sP55HxNGmAdIGQQMX0RKiWQ/AAACAASURBVIMXykz2SWLCLmW3BXd2+z6+oLJW82K5yW+TDIJ9cPMCYS+3JTrD8tOSU6pL1TVq/lpi8qvrMilatZLDhw6y+ruVtml8AIQGKm5LNHheNjbpcq48MjN8PI+MJ0lNdZE7kgzqTXi2VIJIV3ItuCPPHkPoxy8gxMe/jy94utTEBG5PlNuh8L5ewYqpwxWPl5gcaZSHxq6yZL1m12GYZfPdin6bZHC4AV4ok2eRrmJqTV6RScYgxaAe0onVVva+8rzo9FDFlGGKhcWSmLArjRg7GW5fwhmq0hZD6K4FhGlBVQS+mwMHK3nqlQKf/T5Wd+Ro4sGpwxSnhUjgENYwKzmAHYfgzY0SO7rCsVtuJ0TZ+7rvF6a4ZojisWKTRnkW6RJ/r9CUV0v+qPaS2upCWSkBVByEAgkiXeaxYpPo8yZT9r19htAzMjJY/d1KqmoOEDXvS9YOucrbRbKtNzZoth+SjLXCWpKjFeMlp1SX+Xync8ttf8nVkJ1qsHE/vLNZzqWukFtkcnZvxU9i7d2YdTf/uPq8JD1GcWlfxQIJIl2i+ojm+aOJB0NtOHc/vJtz/u6zpSb7Zf6u27l6QS87Q5Ecbb/zR/i27FSDb3/U/GuXXPvulltoktwTxvbzj+v+rN4G58cqSQ/QBYoqNR9t02SlGLKDYjtJA6SLzU41+GaP5t8SRNzuuVKTukb4rY0Xfd2ZZHCoAV4ol8Dhbp/v1Hz3oyQeFNY0/gxFQpTzYVm4z/oazTubNVl+tuV2dqrBFzs13+6RZxF3yitqpF8YXD3Ef84ld5HI28Uu76+Ij5TEhO7WYGryi0yuG6roE2rfC/+McOf83fwimb/rbq5e0HF+0gsqfIuhFFkpBss2azZKTim3eazIJCYYrh/mX9f9VQMVA8OdD8zCPXYf1vzfOs2dSQbdJPFgu0kDpIsZSpGdarB0k2aDBBG3KdioqTgI2an2n7vvmr/7tszfdZu11c5eUEk8KKzMlcdhoeRxcIvqI5oXyk1uTzQIseG03ZMJNBQzkw2WbNBsPyixxB2eXmNiAL9JkEfpjpBa8wBJBuReWmsWFJqM6aMYEWP/IHJWb4MLTneuJRLukV9k0ssPe0GFb3HlcXhO8ji4xfNHp+3ekeSfjz63JBgEBcATJRJLOsuVR2ZanEF0sMSRjvDPq9DDQo8mJny+zKRagkin/We35us92q/m7s9ONfjXLs3XuyVwdFZVnWZRuckdknhQ+ABXHodFsg6sUxpMzWPFJr8cYu9puycT2V3xqziDp9aYHG6QZ5HO8Jc8Ml1Jas5DfptsUNfoXDgtOie30CQuEiYM8J8g8vMBiiE9ZC2ROzyzxqTBhOmSeFD4AFceB1kH1jlvb9ZsPgBZfjBt92RmphhU1sH/rZNzqaP8KY9MV5II7CF9QhU/2baM/7nqbIJDw0gfOQqHw+HtYvmcjTUaxybnlneGH83dDzCcC1Lf3KCpOCCBoyMcDgdpI0fxh9ERhD08mn/9fam3iyREm0geh87LLTS58HTFmb38J260ZmiE4sqBirzCRkkP0EGf7fCvPDJdRWrPQxwOB5/NvYb60F7UXZFDYX0MmZmZ0ghpp4XFJpHd4cbh/nfq3hxvEN5NFqR2hMPhIDMzk6IjMXBVDvu695LrT/gMVx6HPBkB7ZBv9pj8a5cm24+m7Z7MqIpllPxuNEGh4dIZ2gF5Rf6VR6aryNXoIfP+9BAqeRzMWg7jstAzl6OSxvLAg/O9XTSfUX1E81yZcweTsG7+d+GHd1P8JsHgmVKTA/XSc9UerutPy/UnfFR2qnE0d41c++2VV2gypIdzKqu/czgc/PHWqyG8F/U/l87Q9lpX7Z95ZLqCNEA8pLysFJ00DlwnrFLo5PGUla7xbsF8yPOlJrWNzuR8/mpGssGBelhUJj2h7SHXn/B1kwYqBoVDXqHkcWgrh8NBUvooXv1ZJLXzRvP2Mpl2KZ2hnbOw2D/zyHQF/32S87C4+ARUyQpwzbnUGlX8IfGJid4tmI9w7WBy7RBF3zD/vfD7hyuuHuKciiELUtsuLj4BiuX660q1tbVMmjSJuLg40tPTGTduHOvWrfN2sWwjwFDMSDZ4fYNmxyG59k/FNe1yTYNz2uWOAJl2CdIZ0xn+nEemK0gDxEPm3j8HXbwClT8RVuRB3kR0yUfMvW+Ot4vmE5Zucu5g4g+JB08lO8Vgw354d4s8hLTVbXfdy/9v787jqqrz/4G/zmG57BjgDoKI7LjkglZj2WhOZSoXl/o2mU2OVk4KzmQzlUlmfqfyJ9A2NtU4WfMtK4464UxJTvu0kZKXVVARcE82BQTuPZ/fH8eLIKDAvZz1/Xw8/AO9XT597ufc92d/o/DS88dl0vPXH5YtW4aSkhL89NNPmDt3LpYuXap0kXTl/mgeLvt3YNy1E+BJl5lcEc30d40mQ/vudYPnkXE2qkWZmM1mZGVlYYypBqbsNLg0VeOO//0ASUlJShdNE9ItIm4cSjeYAMDkQdKBVEpM2HPF4fPg+/B2xJtq4JGdhjGmGgiCQM+fE3l4eOC2225r2xc9ZcoUlJeXK1sondmbvQMXXl6E0y5BuECXmVwRzfR3jSZDe89+g+IfJkk3KH5DNyg6RYcBCC2h9y+z2Yy8fbm40NiANe99j8+GzKHstj3w7SkR35w2VuLBq1mdwOPLkwy5Z2gQcjW1zQx/KxGRsjgZB/bloqmxAXn7cmnw0c8yMzMxd+7cbv+9vr6+w5/m5mYZS6dNNKvfc7TtsmvtJ0M9stMQYKvGNavew+1z5ildNFW6/AbFOrpB0WlcL/+LZcuW4dZbbwXHcXjppZewdOlSfPbZZwoUTd9WxPJ4/icRb5SItK3oKtLzRUT4AbPpBpM2c0M5jPSVVob+cTMNzK7ktWIRrSItm8tp48aNKCsrw969e7t9TUhISIef16xZg0cffRQ1NTX9XTzNKikpBpud1mlWvzg7DdXV1X16T73W94wlKTiQshhc5m1gcbPAFXwMVrgXq998s8915SxK1/lNN92Em266CQBQVMfjhk+8sdVyDgtGWBUtV39xpL6fTFsPLm4G2Mps6XmbsQpc5m148qmn2+qQdNRdfQcEBHT4ucMAxL6EbjdlyhRs2rSpH4pHhntzuHMUhxfyRTwcx8OVp851V8rPMXxwhOGFqcZKPHg1LjyHVfE8/vCtiGcnMwT7UN10pVVkeLFAxP9EcBjiRXUkh02bNkEQBHzyySfw8vLq9nWVlZXw8/Nr+9lkMsFkMgHoHKiIJCoqGpbCHLAZq6RByMVZ/eiYGIfqTI/1nT/6Loxa4wGfnGdRkp2GqOgYrFPRtku11Pn1AcDM4Va8fsQLy8bq92rZvtb3obJSsNl3Xzbon4VD2Wmq+QzVqCd1c8UpQVpC71+pCS4oPw/sLKdtWN2xJx5cEkmz15f7TSQPL1fgpULahtWdrCMMlQ1AajytMsph8+bNeOedd5CTk4MBAwZc8bV+fn4d/tgHH6R7tH+/ZwqqGfYcY3jqt8nIo22XV5USzyP3Z4avT1Ff5HK0la//dNqCZefIEvrllF5uVKswHrg+yBPP59lw84BGh99Pb/Vc3wq8VuSD+8Jb0HzuHNQyvFVTPd8TZsKWQjc8FFYHn26fZm1ytJ4ZA57b74VpAxmCuXNQeNeFavWmnq80q1VVVYXf//73CA8Px/Tp0wFIqxrfffedw2UkEvv+/fUbNqLwwzS0Do7GC9uyqGN9mYx8G4Z5AQtG6nM239l+FcIhyl/a0nvDEJrsa+93jzyGZXfPl25OjLsFXMEeadBPZ0Ac1mWXxRlL6JejpaquPTJexLwcG0qtA5A4yPEHX0/1vM1iQ5NNxCMTvBHg46N0cTpQSz0/MoFhS5kVH57xx4o4/c3yO1LPX58Usb/Ght2zXBAQ4OnEUumPM9pzcHAwGKMZ1P5mNpthNpvRYmMIfceKglDqMLZ3ponhrTKGJ8fzcHehAUhP8Jy0pfd3/xVxpJ5hpB/Vm93hiHnwXLEdo75+DmUq3MqnZZ2+uWgJXV6zR3CI8JNmHsglNpEhM1/EwnCOzjdcQagvh+SRUmJCkTp/HWy2iIjyl2b3CNEbdxcOK2J5bCsVcfYCPft2rxaJ4AEsj6GBWW8sHs3D313a9kwkjVaGV4tFPHB3Miz7aSufs3V4Qu1L6LW1tZg+fTrGjRuHxMREpcpmCPbDxB8cYag4T0HEbudRhvLzQCpdvXtVqxN4lNUD2ZSYsM3heoadRxlSE+jyAqJfy2N4iAD+WkydRgBosTG8XChi8WgegR703PeGtxuH5dE8Xi8RKT3ARdsOiqhrAR6Oo35If+hQq/Yl9EOHDiEvLw95eXm0f1cGSyJ5+LrRzEN76RYRvxjCYeJAevCvJnEQj6mDKDFhey8UiBjgDtwzmtoP0a+BnhzuieDwUoGIFht1GrcfZjjZBKyKp+e+L1bE8miyAlsPUiwRGUNmgYh5oRxtSesn9JSqgI8bh+UxPP5aJOIczTzg+9Mivj5FiQd7Y3UCj89PMOz7mdpPXQvDGyUiHozh4eVKgYPo26p4FxxvBD44YuxnnzGGdIsNvwrmEHMNPfd9EezDYUE4h8x8ETbR2O3p4yqG4lrahdGfqGZV4nexPBpp5gGAlHhwlB9wByUe7LF5YRxCfYB0i03poiju9WIRzTZgBS2bEwOID+AwcziHdIto6EsAvjzJsP+sdKUs6buUeB5HzgEfGnxLb4ZFxMQgDtcPpn5If6EnVSWCfTgsDJcOExt55qHiPMP7hxlWxfFwoeSMPeZ68SzRu4cYjjUYt/1YRYYXCkTcNYrDUEo8SAwiNUHK4/BfA+dxSLeIiBkA3BJMz70jJg/icd1gztAX49jzyKQk8LpNzKgGNABRkdQEaeZh11HjBpEXC0T4uAH3RVHT7K37o3h4ugIvGzgxoXCEoeK8lOSTEKOYFXwxj0O+MZ/9w/UMu44ypMTrN5O3nFLjeXxx0rhbeimPjDyol6ciEwfy+MUQ4848nGtheK1YxLJoHj5u9OD3lp87h6VRPLYUiWhoNWbg2JwvYvpQDuMCqf0Q4+A5DinxPHaUMxypN96z/0KBiAATcM9oeu6dwb6lN8OAW3rteWRWxFIemf5GAxCVSY3n8dUphh/OGG8QsvWgiPOtdOWdI1bG86hrAbaVGq/9fHNKxHen6fICYkz3XMzj8JLBVkDtl048EMPDky6dcApXnsPDcTzePcxwotFYA9pXi0RwoDwycqAaVpk5oRzCfY2XmNCeeHBBOIcQSjzYZ2G+HMxh0iqa0RITbraIiPQHbqPLC4gBteVxKDbWbYp/K5EunXgolrozznR/FA93HnjFQANayiMjL3piVcaemPC9wwyVBkpM+M+jDIfPSStAxDGrE3iU1gP/MtAtJuXnGIRyhpR4SjxIjGuFwW5TtIkML+SLWBTOYZg3PffONMDEYdqJXfjf+ZPg4eWNseMnQBAEpYvVr+x5ZOgmNXlQLavQfZE8fNyAlwyQmFAQBIwdPwHJMb7w+nMiqr7aqXSRNG/qYB6jD+3EnTdPhKdBAscL+SL83YHFlHiQGJjR8jjsPMpQfh5IiadLJ5xNEAT8+/EFsHkHoXl2GiytgUhOTtZtLKE8MvKjaK1Cvu4cfhvN49ViEed1fJhYEAQkJyfD0hoINicNTR5Buv6Ck4sgCCh9diEaPIJwwQCBo76F4fWLe8C96fICYnCpCTwOnwOyDbACmmER8YshHCYMpOfe2Z56+hlwcTOBVdnAzBSwldngYmdg/YaNShfNqeyToB5ePtifmoiJlTQJKhcagKjUw3E8zrcCf9fxUrr9C46tvPgFt0qfX3ByM0rgsHujRMQFm5TMkxCjmzSQR/Thnbj7l/peAc09I+KrU4y2y/STgyXFYLEzAfuWVo4Di7sFJcVFyhbMidpPgrbckQb4BGHD8gW6fF7UiJ5clRpxcSldz4kJjfAFpwQj1auV9oAT0oEgCCj+s35XQO0z1okhvnDbmAjxxx1KF0mXIqOiwRXmAPbLTBgDV7AHUTExyhbMiS6fBAVNgsqKBiAqlhrP41C9fpfSI6OigQJ9f8EpwQiBw25nubQHnBIPEiLR8wpo+xlrcU4aWr2CsGDBfN0MrtRk3drHwQpywGXeDuRkABm3gxV+gnVPPK500ZzGSJN1akQDEBWbPIjH9YM5bNbplbxr/vQYUJgDXPyC4zL19wWnBCMEDrvNFhE3DuVwbRCtfhAC6LtTRTPW8jGbzcjKysIYUw1M2WlwbarGrGc+QFJSktJFcxojTdapEQ1AVC41gccXJxl+PKO/VZDauHngH9yOGLcaeGSnYYypBoIg6OoLTgntA4d7dhrQWI3lL+grcADAt6dEfEOJBwnpQM+dKj0PrtTIbDYjb18uLjQ2YG3W9/hiyBycvaCfvoh9sg4ZNAmqBIrcKjcvlMNIXyA936Z0UZzKJjJk5ItYkGxGYV4umhobkLcvV3edZKXYA0dzYwPMr32HzwbP0V1iwvR8ERF+wGxKPEhIGz2vgEZGRYOjbbuKeCCGhwjgr8X62ZExd14SBqZsxzXWapoEVQANQFTOheewMo7H9kMMxxr004HMrmAoq5dWeEj/Wp3Ao6QO+KhSP+3n6DmGrCOUeJCQy3W1AvqgTlZA1z7xGFghzVgrYZAnh7tHcXipQESrTi7G2XWU4UxsEnK+pklQJVDvTwN+E8XDy1VfiQnT80VcN5hD4iBqgv3tusEcJg3U11miFwtE+LkDSyKp/RByufYroHP/+h2+GDoHTAcroD6Tk4AHtiPClbbtKiElwQXHG4H3D2u/LQFAOuWRURRFbw3wc+ew9GJiwgYdJCbc9zPD5ycYUun+dllwHIfVCTz2Hmc4cFb77edcC8NrxSKWRVPiQUKuJiWeR0EN8Mkx7T/76RYR196ShIM//UAz1gpICOAwYziHdIuo+QEt5ZFRHtW8RqyM41HXArxZqv1Z7HSLDWE+wLww6jzKJXkkh2BvfZwl+ttBEY1WSjxISE/cOJTDuEBp1VnLCqoZ9hxjSI13AUfbLhWTEs8j92eG/57S9gAkI1/ESF9gbii1JaVQBNeIUF8OyWEcMiyipg8TH2tgePcQw6p4Hq48Pfhycbt4luj/yhhONmq3/dhEhsx8EQvDOQT7UPsh5Go4jkNKvAv+XclQXKvdZz+zwIahXsDCcHrulXRrCIdIf6kDr1XHGhi2H2JYGcfDhfohiqEBiIasTuBRWg/s1nBiwpcLRXi6SudaiLx+G83DjQdeKdRu4Nh1lOHIObq8gJDeuHMUh8GeQKZGO40/X2B4q5RhRSwPdxfqMCqJ5zisiuchlDOUn9NmX+QV6oeoAtW+hkwZzGPqIO0eJm5oZdhSJOK30Tz83CmIyG2AicNvonj8pUhEk1WbgWPzxUODEwfSVxchPWVy4fBQLI83D4qo1mAeh1eLpJi3PIaeezW4dzQPf3fpMhCtabRK/ZD7o6gfojR6mjUmNYHHZ7sFRI6ZAE8vb4wdPwGCIChdrB55s1REXQvwcBw1O6Wsiudx9gLwdpl2OiGCIGDs+AkweXnj64cnY+qxnUoXiRDN0WoehxYbw8uFIu4ZzSHIgzqMauDtxmFZNI/Xi0Wca9FOLAGAt0pF1DRTP0QN6BPQmn07gC2LUGoLxIXZabC0BiI5OVn1gxCRMWRYRCSHcQjzpSCilFF+HOaGcki32DRxi4kgCEhOToalNRAts9MAnyA89+AC1bd3QtSmLY9DobbyOLx3mOFEI5AS76J0UUg7K2J5NFiBrQe1M6AVmZQAeV4Yh3A/6ocojQYgGrPhmY1A7ExgVTYwMwVsZTa42BlYv2Gj0kW7ot0VDKWUeFAVVifwKKoFPq5SfyfkqaefARc3E2yl1N6xShvtnRA1SklwwbEG4AON5HFgjCE934ZbhnOIvYY6jGoS4sNhQTiHFwpE2DQyoN1TxVBcC0oBoBL0KWjMwZJiIG4mYL+GkOPA4m5BSXGRsgW7inSLiCmDOEwdTE1OaTcM4TAhSBtniQ6WFIPFaq+9E6JGCQEcfjmMQ3q+NvI4fHWSYd/PNHGlVinxPA7VA9kauRgn3SLi2iApBhLl0VOtMZFR0eAKcwB78GAMXMEeRMXEKFuwLrTfu//pism4/jjt3VcDjuPwi+M7kfPgZJhUfo5IS+2dEC1ITeDxwxmGb06rv9OYni8iegBwSzB1GNUocZB0MY4WcsxQHhn1oQGIxqxb+zhYQQ64zNuBnAxwmbeDFX6CdU88rnTROuhq7/7/e4j27quBIAjI+N0CwCcILSo/R2Rv78hQd3snRCvseRzSVb4CerieYWe5lKmapw6jaqUm8Pj8BMP+n9U5oBUEAdNuuhljh/nAdWMi3H/aoXSRyEU0ANEYs9mMrKwsjDHVgP9nGtyaqvFBVhaSkpKULloHtHdfveyfjRbOEc2dl4TBqdsxwFoNj+w0jDHVQBAE1bV3QrRCK3kcXiwQcY0JuGc0dVPULCmMwwgfICPfpnRROrFPhBaKA2GbkwarVxAWLZivysk2I6InW4PMZjPy9uXiy6Pn0PKnb+ExcZ7SReqE9u6rl5Y+mw8rGE7FJOHjr35AU2MD8vbl0uBDpVauXImwsDBwHIe8vDyli0Ou4N7RPPzcgJdUmsehvoXhjRIRy2N4eLnS6oeaufIcbjqxC9vunQwPlW3pvTQRupsmQlWIBiAaNnUQh0SVJiakvfvqpaXPZrNFxPWDOUweRF9Vajd//nx89dVXCA0NVboo5Cq83aROY/qdkzAsOERVnUYA+FuJiCardNUrUTdBELDt99KW3maVbenV0mSbEXV4umkGS1s4jkNqPI//HGfIO6uupXTau69el58jQoY6P5v9NTy+PMmwmm7A0YRp06YhODhY6WKQHhAEATv/tACit/o6jTaR4YUCEQvDOQz3ptUPtVPzlt7IqGhwBdqYbDOiDpGdZrC0J3nkxf2XFnXtv5yXlIRhq7fDn/buq077c0Qe2Wnwa61GyB/ew7x56trKt6XUHSN9gbmh1AnRo/r6+g5/mpublS6SYai50/jPowxHztHVu1qh5lWGJ594DKwwB8i4jSZCVci1/Q/Tpk1Tqhykj1x5Dg/H8XjsBxFrRnMIULpAF/27kuF4dBK+emQ+rh9CgURtzGYzzGYzAOCz4yKm77Yh5xhTzXWXVecZdla5YtMUHi68OspEnCskJKTDz2vWrMGjjz6KmpoahUpkHCUlxWCz0zp1Gouz01BdXa1o2Z7P80RiIBDucg4KF6Xf6KmNj4oYjcLCPWAzVkntiTFwBR8jYnSk4m3JI2EG8MB2hHz6DE5npyFidCTWvPkmbrzxRsXLpmfdte+AgI49VNcuX9VD9fX1HX42mUwwmUyOvCXpg6VRPJ7aJ+Jvh92wabjSpZGkW0RMHsjhusHUeVS7G4dyGB8ofWa3BKtjsPhSoQhPF+A3keooD3G+yspK+Pn5tf3cPn5cHqiIc0VFRcNSmHNZp3EPomNiFKl7QRDw1NPPoLikGC0Do/CHPz6GgID5spdDTnpp4+vTnkRycrK0uhB3C5C/B6xoL9YLguL/j2/8aEX0zUn4csMMBAXqo761oiefvUMDkO5msC6np9G+Wt0dasLfDrkiNboani7KliW/lsfe4954bXITamqsyhamH+ixPf92pCseyvXEf8trEe2n7KUG563AlkIfLBx6Dq3nOdA8Vf/qTXt2ZofCz8+vwwCEyGfd2se76DR+gnUKnAGxX5XKxc2UVmUKcrDpoQWYOjirbZWWqJd9S+/6DRtRkp0GDI1G7BPvK77d2p5H5i838KBFdHXiGGOdTi+HhYVh586dGDduXJf/UX19Pfz9/a84g9VedXW14iNhvTtczxCxvRVbbnDFshhlZ42XfGbFf44zHLrTFW46fPL12J5bbAxh71pxewiH16Y5NC/hsJcLbFj1jYgfZ53H2JBrFC2LETirPS9fvhy7d+/GyZMnERgYCF9fX5SVlXV6nT1+1NXVdTkA0ePzpUaCIGD9ho0oLi6COCQa19/3J3y6Vv5Vh7HjJ8DSGijljLKvxmTejjGmGuTty5W9PHLQcxv/+0ER931uQ/ECV0QNUC7+p35jw7ZSEZX/44oL9TW6rW816mn7dqinap/Bsv+h7VfKCffjcPswK9LzbRA7jyllc6KR4f8OMayM53U5+NArdxfpLNFbZQxnmpRrPyJjyMgXkTySQ4i3um52I1f26quvoqqqClarFadOnepy8EHUw55P6nhVJZ7Z8T2+HjYXJxvlf+bUfIiZ9N5dozgM8gQy85VbSac8MtrQYQCyfPlyBAcHo6qqCrNmzUJERIRS5SJ98ODoVhTXAh9VKtdxe6VQhDsvnUsh2rI8mgcP4C9FygWO7AqGsnrQ1buEyGhpNA93Xvr+lpuW8hKRqzO5cHgohsebpSKqL8jbFxEEAWPHT0Cgvw/OrUvEyNKdsv5+0jsdojzNYGlbYqANkwZySFdo5qHJyvCXQhH3R/EYYKJZB60J8OCwJJLHy4UiLliVGcSmW8SLCTZpAEKIXK4xSc/+X4rkf/YpZ5T+PBjLwyoCrxXL1xexnyWytAbCekca4BOEZXfPV0VuG9I1ivI6wnFAajyPT44xHFAgMeFbpQzVzcDKeGpWWrUqnsfpJuCdQ/K3n/0/M3x2ghIPEqKEVfE8fv7vDoweMxGeXt6yZUdPSkrC8N9vh18r5YzSi0GeHK4/vhNPJE2Ch0xtyZ7bhq2UcttglXpy25CuUaTXmfnhHAILd+CmqRNkDSLS3n0b5oVxGOVHqx9aFTWAw+wRHNLzbejifop+YV82nxjsA7eNiWD7dsjyewkhl1j27gC2LEIVF4gLMmZH31PFcCwqCf/84gc0NTYgb18uDT40ThAEfPrkQli9gtAsU1uis0TaQwMQnflw5w6czViEGrcg2LlYWAAAE1dJREFUWYPIx1UMRbXSCgzRttR4HpZqYO/x/h+AtF82F+ekodUrCAsX0LI5IXJTKjt6er6I8YHAtCE0caUXSrQlOkukPdRb1BnFgohFxMQgDjdQENG86cM4jA2QPtP+RsvmhKiDEjPIhTUMH1cxpMS7gOModuiFEm2JzhJpDw1AdEaJB99SzZBzjCE1gacgogMcxyE1wQX/qmQoqunfVRBaNidEHeScQbZvuxwz1AeuGxPhcYC2XeqJEqsRU2YlweXB7RgGOkukFTQA0Rklgsj4YVIQcc2jIKIXd47iMCB/B25I7N+zRJFR0eAKaNmcEKXZZ5C5TGkGGf00g9x+26VtThqsXkFYRNsudaVTW8ro/9WIVwpFeE5OQmFeLp0l0ggagOiMXA8+BRF9271rB2pfWITqfj5LtPaJx8AKc4BMWjYnRElmsxlZWVkYY6qB64dp4Bqq8ea7WU7vxNG2S/1r35ZM2Wngm6ox988f9NuAoMnKsKVIxG8iefi70y4MraABiM60f/DdP0wDGqvxxF+d/+BTENE3uc4SeUxMAh7YjgiXGlo2J0Rh9uzoVWfPw23ttzgRNdfpv4O2XRqDvS1daGzAH979Hp8NmYPzrf2zpfftMkoBoEX0aenQpQf/PCakf4fvh1MQIb0j1+ebni8i8VdmlB6gZXNC1GKwF4e7Izi8VCiiVXRup5G2XRrP7+J4nG8F/n7Q+RebMMaQYbFhTiilANAaGoDoGMdxWJ3AY88xhvxqCiKk5+Q4S5R3luE/xxlW06wVIaqTEu+Cqi93ICLBuYkJn7Rvu6TbigwjxIfD/JEcMvNFiE7OL5VzjKGwFkilBLaaQ5+Yzi0I5zDcG0i32Jz6vhRE9E2Os0TpFhtG+ADmkTRrRYjalH0uJSasgHMTEw6+Xtp2OZK2XRpKagKPss92YJSTBrT2S3BujfCFx/8m4uf/0iU4WkMDEJ1z4zlMP7ELWxdPhocTZ7F8JktBZJQrBRE9an+WyO3iWaKnXnPOWSJBEBA7bgK2zfJH6/pE/HMnBQ5C1Oapp58BF+v8c2DpFhFR05NQdoAynxvJsa92AlsWoZw5PqC9PIFts2cQ5s+nS3C0hmOs9+th9fX18Pf3R11dHfz8/K76+urqagQEBPSpgKTnuqpn+4OK2JlA3ExwhTlgBTnIysqC2Wzu8+/61b+tOHOBIXeeq+FyfxitPTPGMFawItSHw4ezXB16r960R6PVs1LkruerxQ/63OXVXX17ennjwuw06ZIRu5wMeGSnoamxoU+/60g9Q8R7Vrx8HY8HYl36WGLtM2IbHzt+AiwtgWCrsqWzhYyBy7wdY0w1yNuX2/v3ag2ULsHpwXsZsb6V1NP6phUQneuP24zyq6XstasTKHutEUhniVyQXcFQUuvY/l25btcihDimP86BvVggwt8duGc0dT2M5mBJMViccy42oUtw9IG+BXSuPx7UjHwbhnkBC2jvvmHcNYrDYE8gI9+xW0wocBCiDc5OTFjfwvB6iYjl0Ty83Sh2GI0zB7SRUdEAXYKjeTQA0TlnPvSCICBu3AS8MdMf4oZEZO+ivftGYXLhMP3kLrx69ySHzhJR4CBEG9qfA3P5MA18YzX+8V7vExPaDwsH+vvg3LpEhJfu7KcSEzVz1oBWEATU1tYAhTlA+q10CY6WsT6oq6tjAFhdXV2PXn/27Nm+/BrSS13Vc1ZWFgPAuNgZDAueY4iZwQAwQRB69d7290HsTIYFzzEubiYDwLKyspxVfM0wYnt21uf/2Jb3O7RHLrb79mjEelaC3PV8tfhBn7u8elLfFedE5vJaC3sx39qr926LP3HS9wZijRs32jNqG8/KymJjx09gvKs7g4cvczN5sDHjru1xe7jUn5nJMPUeBq8BDBzPQsMjrtinMWp9K6Wn9U2H0HWku3oWBAHrN2yUtrkMjUbM//wJ+56e36v37u2hLz0zYnt21uc/Y7cV5V/sgE/OsygpLkJUdAzWrX28y1lVI9azEugQurH1tL7v3GvFjz8zlCx0Bd/Ds38UN7pm5DbuyMU4fW1PRq5vJdAhdNLGnhm9qbEBf/3oB+wfMRcFvUxMSHv3jc0Zn/+Bswx7jzNsWJbc1h7pCk5CtCElnkdZPbC7ouexg+IGuZwjF5FQe9IXGoAYzKJwDkO9pIPkvUF7943NGWeJ0vNtCPEGkunyAkI0Z8pgHpGHduKuX/Y8kVx/3KRFtM2RQQT1Q/SFBiAG4+7C4XexPN4qYzjT1POZrHkP/QkovHSAjA59GYujmdFPNjL8XxnDw3E83HgagBCiNYIg4OCzC9FgCupRIjlBEFBXWwNWQIeFySWODEof+P1j1A/RERqAGNDyGB7sxx1IGD+hxzNZP4TMQ9gj2zHGRJnPjaj9jTge2WnwaK7GxLXvX/Xzt9+AExzog9anEzGkmG7AIUSLerN1xr7Pv8I7Aph6D1CxD/jgjxhxoZzihsF1msxaPwms+FMUFhR02xexx5GHly4GN3AkQi6UUz9EB2gAYkCf/2sHWl5ZhFMuPZvJKqph+Hclw1NL59PefQNrf5bo5X/9gB9D5uLgFRIT2jshltZA2O5IA/MOwuI75/fp+l5CiLJ6s3XGPlhhK7OB+94A0k+Bi7kZA/z9KW4YXPvJLNddTwDHDgDR09E6Z32XfZEOcWROGtjACFQcLsM/3n6L+iEaR7dg6UhP67m3N0ks/9KGDytElN/pCncX2j5D7Rm4YGUIfdeK+SN5vHy9S5evcfQGHKpnedAtWMbmcNzwqEHejx2fZ08vb1yYnQbMTLn0lzkZ8MhOQ1Njg5P/D7SH2rhk7PgJONASKK2qdRMjnHGTGtW3vOgWLNKt3sxk/XyBYVupiBWxPA0+SBsPVw4PxfD4+0ER1Re6nsOgG0sI0Y/enAOLjIoGR4eFyVUcLCkG4q4cIyiO6BcNQAyoJ4fA7Hsuh17jg+anEjG8hPbuk44ejOXRkrsDcd2cJaJOCCH60X7rjHt2GtBYjRUvftBpC0zb4XPKVE2uoid9EYoj+uWqdAGI/NatfRzJyclSUPAfCuR9CHahHrUjR7Z1IJOTk6U9vHekAQU5uO+u+fBzv3qiIGIcX/17B6yvLMLJ2JnA7LtgKcxBcnIysrKyAEDqhJTvkzohCb8CV7BH6oTQGRBCNMlsNrfFgDs+tuKL8wyMMXAXZ6ft+/W52JnA1BuAnz4ESj7DiJHhSKfDwuQyHfoicbd0ihFtg1mKI7pEZ0B0pDf1LAgCVv/hERw9chiI+SUQP6stI2noyFGo8Aqn7LXdoPYs6W5v7oimwzh65LA0gPUbInVCmuoROjIc6Zue63EnhOpZHnQGxNj6Wt97j4mY8S8b9t7mgpuHS5spKPN5z1Abv0QQBKzfsBEHLBbA1QRX1oqYmFjMmvlLPP/88w7HEYDqW250BoRckdlshr//AOlaxWnLgO/eASv9GvAagKNHy2nPJbmq7vbmHq2oBGJ+STfgEKJjNw/jkBAApOeLbX9XVFRIsYP0itlsxpNPPAZmbQELn9J2G9bz/28zuNgZFEd0jAYgBnawpFiaWXh1EeATBMxNAwJGAOCA/I9pzyW5og77d/ftADYkAll/BEQbED+LOiGE6BjHcfjF8V3IXjYZJi9vhI0MR2tra+fYkf8xxQ5yRV3lmLHHDYoj+kUDEAOLjIqWljVjZwC/WAp8+heg6gAwNAYo2nvpAGHGbXSAkHRivxUHT08CtiwCvAMArwDAww8o2NOhEwLLR9QJIURHBEHAKysXAD5BaJmdhqMnzgBDY6XYkXHxpqz0W8GK9lLsIFfU1Wo6/IbSRKjOdRqAlJaW4rrrrkNkZCQmTZqEgoICJcpFZLBu7eNAUz3gP1RaBWmskc6DPJkLPLAdaKwFsh6DqeJ7yjZKOrHfiuNRcwQYngCcOQw0VAPj7gAKP7nUCcm4DSj+D3VCDIDih3G0zVrbJ69aGoHr7rkYO6qBXWnA6VK4ubtT7CBX1NVtWPC+RhrMXrz2mW5S059OA5Dly5dj2bJlOHjwIB599FEsWbJEgWIROZjNZoSGjQTyLq6CNDdc2jpzbRLwxLdA8kbYrK0UQEiXzGYzbK3NwDELUHdSWv2oOwEsb9cJKf8RYeHh1IYMgOKHcXTYwttYA3heXPkcPw94/FvgxRpg0GjExicoXVSich1yzGy9H0gZDBzLB/wGY3hjOTyy0zDGVEMToTrTYQBy+vRp5Obm4te//jUA6SrWyspKlJWVKVI40v82b3oOuFAPWFulWYfLljxh+Qgurm7KFpKomoubSTo7ZG2+tPrxxWvA5DuBUVOBplps3rRJ6WKSfkbxw1g6bOG1tgBjaeWT9I19NX1E02Hgm7eAsAnA/D8DwWNwrLwM/3j7LeTty6XBh850GIBUVlZi6NChcHWV0oNwHIcRI0agoqKiy/+4vr6+w5/m5ub+LzFxqrZVkEPfAEzsuH8343ag+D/SDDch3bBZW4FzZ2j1w+AofhhL2xbeuFuAIVHSCmj7Z/8oPfuk5zrczJnyL2BmCrAqG1zsDKzfsFHp4pF+4FAiwpCQkA4/r1mzBo8++min19XU1Djya0gP9bWen1q3Fkvu+w0wYLi077LhYgAZEg0Mj0dUoCuqq6udW1gNo/bcUWRkFAryLcDE+dLsFYO0+pH/MVC0F0+ty+xT+6F6lkdv6tmZd+l3Fz/oc5dXX+v7pptuQvCIUFTlfwzc+kdpKxYTpWff8hFQ/J8+P/t6R228ayUlxWCz0zrdfFWcneZQO6L6lld39X15/OgwAAkJCcGJEydgtVrh6uoKxhgqKiowYsSILt+ssrKyQyIpk8kEk8nUo19M+kdf6vnee+/Fbx94CK1eA6RbsGJmSFfyXgwi618U6PO7DNXHJevTnkTygkVA7XFpBvSjZ6UBrIs73EweWLx4cZ/fm+pZHs6oZ2fGD/rc5dXX+s7cvEnKZM1xYFPvkbZkFX+KsJHh2Ez79a+I2nhnUVHRsBTmgM1YdSmRZcEeRMfEOFxfVN/y6nUiwkGDBuHaa6/F22+/DQDIyspCcHAwIiIiuvyP/fz8OvzpavDR3NyMZ599lpbX+5mj9Zzy8ArpIPHweOBUCZD1GHDwC8ybN4+CSDvUnjszm82Ye8ft0va9z1+VZkDDpwBNtUhdtbJP70n1LA9n1rMz4gd97vJytL7te/fHmGrgkZeFsVGjIGR9gCOHSiludIPaePc6HEZ30s1XVN/y6lV9s8sUFxezKVOmsNGjR7MJEyawAwcOXP4SVldXxwCwurq6Tv/myGtJ3zmjnh955BHm4e3LwLkwD29ftmbNGieWUB+oPXfPme2H6lkezq5nR+MHfe7yovqWH9X5lWVlZbGx4ycwD08vNnb8BCYIgkPvR/Utr97UN8eY/cqjnquvr4e/vz/q6uo6LKE7+lrSd1TP8qB6lgfVszyUqOcr/U763OVF9S0/qnN5UX3Lqzf1TZnQCSGEEEIIIbLp0y1Y9kWT+vr6q77W/pqevJb0HdWzPKie5UH1LI++1LOvry84+y01fXCl+EGfu7yovuVHdS4vqm95Xa2+28ePPm3Bqqqq6nSFIiGEEP1zdCsDxQ9CCDGm9vGjTwMQURRx/Phxh2fCCCGEaIuj3/sUPwghxJgcXgEhhBBCCCGEkL6gQ+iEEEIIIYQQ2dAAhBBCCCGEECIbpw9AVq5cibCwMHAch7y8vA7/Vlpaiuuuuw6RkZGYNGkSCgoKnP3rDSssLAxRUVEYN24cxo0bh+3btytdJN2h9isPasv9o7vvZqXbNcUM5dCzJi9qz/Ki9t2/HI4pzs6C+Pnnn7PKykoWGhrK9u/f3+Hfpk+fzrZu3coYY+z9999nEydOdPavN6yu6ps4F7VfeVBb7h/dfTcr3a4pZiiHnjV5UXuWF7Xv/uVoTHH6Csi0adMQHBzc6e9Pnz6N3Nxc/PrXvwYAJCcno7KyEmVlZc4uAiFOR+2XaF1X381qaNcUM4gRUHsmeuNoTJHtDEhlZSWGDh0KV1cp9yHHcRgxYgQqKirkKoLuLV68GAkJCbj//vtx5swZpYujK9R+5UVtWR5qbtdqLpue0LMmD2rPyqD2La/etHM6hK4TX3zxBQ4cOIB9+/YhKCgI9957r9JFIqRPqC0TIg961oieUftWN4cHINu2bWs74LN169ZuXxcSEoITJ07AarUCABhjqKiowIgRIxwtgiFdXu/2enRzc0NKSgq+/PJLhUuoL9R+5UNtWT5KtGuKGcqhuKEcas/yo/Ytv960c4cHIIsXL0ZeXh7y8vJw3333dfu6QYMG4dprr8Xbb78NAMjKykJwcDAiIiIcLYIhta/3hQsXora2tu3f3nnnHYwfP17B0ukPtV95NDQ0UFuWkRLtmmKGcihuKIfas7woliijN+3c6ZnQly9fjt27d+PkyZMIDAyEr69v2+GTkpISLFmyBGfPnoWfnx+2bt2KhIQEZ/56Qzp8+DCSk5Nhs9nAGEN4eDgyMzMRFhamdNF0hdpv/6O23H+6+25Wul1TzFAGPWvyo/YsH2rf/c/RmOL0AQghhBBCCCGEdIcOoRNCCCGEEEJkQwMQQgghhBBCiGxoAEIIIYQQQgiRzf8H9/gl2D95e0YAAAAASUVORK5CYII="
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "尖点を正しく表示できる"
},
{
"metadata": {
"trusted": true,
"scrolled": true
},
"cell_type": "code",
"source": "plot(\n FuncPlot.funcplot(x->log(x), 0, 1, title=\"funcplot: log(x)\"),\n plot(x->log(x), 0, 1, title=\"Plots.plot: log(x)\"),\n size=(800,300), marker=:circle, legend=:none\n)",
"execution_count": 15,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 15,
"data": {
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "領域の端で発散してしまう場合でも、それなりの結果が得られている"
},
{
"metadata": {
"trusted": true,
"scrolled": false
},
"cell_type": "code",
"source": "plot(\n FuncPlot.funcplot(x->floor(sqrt(x)), 0, 100, title=\"funcplot: floor(sqrt(x))\"),\n plot(x->floor(sqrt(x)), 0, 100, title=\"Plots.plot: floor(sqrt(x))\"),\n size=(800,300), marker=:circle, legend=:none\n)",
"execution_count": 16,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 16,
"data": {
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "不連続点の周りもまともに表示される。最終点が正しく表示される。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot(\n FuncPlot.funcplot(x->gamma(x), -4, 1, ylims=(-100, 100), title=\"funcplot: gamma(x)\"),\n plot(x->gamma(x), -4, 1, ylims=(-100, 100), title=\"Plots.plot: gamma(x)\"),\n size=(800,300), marker=:circle, legend=:none\n)",
"execution_count": 17,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 17,
"data": {
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "無限大に飛んでいても大丈夫"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot(\n FuncPlot.funcplot(x->sin(cos(x)*exp(-x/2)), -10, 10, title=\"funcplot\"),\n plot(x->sin(cos(x)*exp(-x/2)), -10, 10, title=\"Plots.plot\"),\n size=(800,300), marker=:circle, legend=:none\n)",
"execution_count": 18,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 18,
"data": {
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot(\n FuncPlot.funcplot(x->sin(cos(x)*exp(-x/2)), -10, 10, title=\"funcplot\"),\n plot(x->sin(cos(x)*exp(-x/2)), -10, 10, title=\"Plots.plot\"),\n size=(800,300), legend=:none\n)",
"execution_count": 19,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 19,
"data": {
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "ちゃんと上下端が -1 や 1 に揃っている"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 2Dパラメトリック曲線"
},
{
"metadata": {
"trusted": true,
"scrolled": false
},
"cell_type": "code",
"source": "plot(\nFuncPlot.funcplot(t->cos(t)t, t->sin(t)t, 0, 2pi, title=\"funcplot\"),\nplot(t->cos(t)t, t->sin(t)t, 0, 2pi, title=\"Plots.plot\"),\naspect_ratio=:equal,legend=:none, marker=:circle,\nsize=(1000,300)\n)",
"execution_count": 20,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 20,
"data": {
"image/png": 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