From faa2802f8c95d7d87bf71d2d99d617a17f1551bf Mon Sep 17 00:00:00 2001 From: ParkSuMin Date: Tue, 23 Sep 2025 18:10:20 +0300 Subject: [PATCH] Add errors --- graphics.ipynb | 250 +++++++++++++++++++++++++++++++++++++++++-------- 1 file changed, 212 insertions(+), 38 deletions(-) diff --git a/graphics.ipynb b/graphics.ipynb index e8e008a..b23315c 100644 --- a/graphics.ipynb +++ b/graphics.ipynb @@ -1,47 +1,155 @@ { "cells": [ { - "cell_type": "code", - "execution_count": 22, - "id": "18bd929b", + "cell_type": "markdown", + "id": "fda98006", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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kSZNM0MAXVR4MiqZPn26KeN19992YOHEiBg8enOS63NyV/bJs2bJUr8v+GjdunDnfr18/PPjgg1ixYgX+9a9/mc1hv/vuO1O8k/hinRy3GuC0Wp8+ffDpp5+a+husWO4qsMfiodzxnkFC69atMWfOHBNMlC5dOlMFQRkw8VovvPBCQuDEYCM5BmOuQGTp0qWmnf379zd/G4nzU/j3wfts16lTp0y/jhkzBiP5JspbrABw+vRpvoUwHz3p0qVL1uzZs81H8R6/7ef4eMvauNGynn7asipWZDhy9ciVy7L++U/LGjTIsoYOtaxx4yxr8mTL+uQTy/rqK8tatMiyfvrJsrZts6yDBy3rzz8tKyYmc+24cMGyNm+2rP/9z7LGjLGsXr0sq3lzyypePGmbUjtKlrSsli0tq08fy3rlFSv2iy+sudOm+V9f+4m///7b2rZtm/lonDt37T721sHvnUE9evSwOnbsmObn+fw4a9Ysc3vfvn3m/rvvvpvw+a1bt5pz27dvN/d79epl/ec//0lyjR9//NEKDw+/2jfJrF271lzj7Nmz5v7ixYvNff7fTs9HH31kVatWzYrn/7crYmJirJw5c1rz589P8fNdvHjRypUrl7Vy5UorLi7OOnXqlPnINnfp0iXJ9/7+++8Trjl69Ghz7tdff00417dvX6tNmzYprpvYta777bffmnOufnnxxRetevXqpfsz//HHH+ZrlixZkurnmzVrZvXh/9lEOnfubLVv3z7V36mrXewLl40bN5pz/H3T1KlTrfz586f4XuXKlbPGjx9vbi9YsMCKiIiwDvI5K9nfxqJFi0w/8+djP505cybhMYMGDbKaNGmS8f9XmXj91siIhBb+H9+8+eoICEcmXHLmZIlh4N57gfbtueGCb9rE78tpHx7JcWjUNYLCY9euq7f/+AM4csQ+liwxD+d/aKYxWhyWbdMGuP12eyqIU0mSEn/HHKFwE99hnjlzxgxzZ7rgk5f/vrj1hotrY1KOcFSvXt1MM3BU4pNPPkl4DF//XOXyOc2xfv16M/LAx/LdMT/nGuZPvHs7pzPSw6/niAynexLjXmV8B54cH8uplejo6CTnObrAKZm0fsZixYqZERKO0CQ+xxGJrFw3cd+V5TRsBnAqiqNIHBHi9+PoB0cXXNfavn17iqTSm266CRMmTIA38ftySo6HC3+XnEbiprctW7Y05zg9k/j3xXYnnqLzBgUjEhq2br0agOzYcfU8Sxcz8GAAwkDE36Y9+ITQsKF9JPfnnykCFWvLFoTx2LSJk8rAyy/bL3p8kmFgwqN6dSXLurAfMvM75wszdzfl1/ppNVeW6HZxTQ+4AgpOYfTt29fkiSTHF1zmjvCFlAcDFk5XMAjhfb54J8aciPTwezGnJHHgk15yJR9P3377rXkRTLxnCqdg0vsZE993nUv8M7uuW6pUqSSPu9Z1yXWdjOJ0F/uXUzqfffYZnnvuOSxcuBA3MufMTeFX/sbsAZOr01/ekl4/eouCEQleDDo++8wOQLZtu3qeTzxcBukKQJK9YwsYTHpt0sQ+rrgcG4tF06ejNf9z//ADwN2xjx0DOM/vmuvnuyJXYNKqlZ2EKyGlYcOG2LZtGyoz7ygVmzdvxh9//GHyBFzvotetW5fp78UX4+uuu86MJF0L36kzOGDwwwTbLI9ApXLdxPkh7mKOC1cNZQRHXHhwc1nmzDCXhcEIR56Yg9KjR4+Ex65YsSLJiFNqQRuXcLvycpjA6m67+H2ZTMzD9Xvl3wETY5kb5CQFIxJcOI3hGgHhdIwLk+Q4bcEA5K67gAw8KQaqmAIFYHG0h090rmkpBiU8li2zE2bfe88++K6vceOrwQnftSV7VyT+gSslkr8AFS5cOMmQe0YxoZMvikxY7d27txnd4IsS37kzIZSjI3xxY/InEziZtMlk1szgru5jx441iZPc7Z1JmlxVwtU+3ESV9xPj9MCTTz6Jxx9/3CRYcmUHX2S5GohBSeIXcHckvi7f5d98882mTxkEuHNdTmFwKou/C7ad100+ssLPT5kyBXfddZfZHZpJpbt370b37t3N5wcNGmSmbRiocArnm2++Mf3hSopNjkEjf8+cNmMSKadUmGCbvF0c/eFKIK4S4pRV8s0g+b3q1KljfidMeGX/PvzwwyY4Sz5V5XNWAFACa2Dzej/v3m1Zo0ZZVv36SRMEIyMtiwlhH3xgWYkSv0K6r8+ft6zvvrOsgQMtq3btlEmVefNa1l13WdYbb9j9mijpMBikl2jnjsSJlb7ABE8+ByY/mHyZVgIrExxd2FaeYyKky5o1a6zo6GgrT548Vu7cua26detaI0eOTPj89OnTrfLly1tRUVFW06ZNra+//jrJdVNLqkzL0aNHre7du1tFihQx16tYsaJJ4HQ9pydP0GWy6+uvv24SX7Nly2YVLVrUJKIuXbo0ze+dWgJn8mTTzFw3eaIoE2Hvueceq0CBAuY8v29yx44dszp16mSVKFHCyp49u0kifeGFF5L8vbz55pumH9iOqlWrWh9++GGSayT+ndLy5cutOnXqWDly5LCaN29uzZw5M0m7qF+/flbhwoXNef7syRNY6cCBA9Zdd91lfud58+Y1ibNHjhxJ+HtOLUGXX8/reDOBNezKD+3XOEzH5VOMYjMyzJdRnHPjMrX27dunmCMT+H8/8x0+380sXnz1HAsusRYIR0BYFySVpYbBzO2+/u03YOFCe9SEH0+eTPr5ChXsEROOKrFuSirLGAMJkyb5rpV1JjK71bnHEljlmtTPgdHP6f2/yujrt6ZpJDDxxbNrV3tFSUSE/UL5r3/ZAYhyIDKOiXwPPGAfTFDbuPHqlM6KFRxvBiZPtg9OdXXoYBeA40et0BERD1EwIoGFL5gjRrDakT2xwFUmM2cCiZbzSSbxHVGjRvYxZIi95JVLhhmYzJ9v5+PMmmUf3AOjc2c7MLn5Zr9dUSIigUHPIBI4OArCd+Qsqc5AhOv0+e5dgYh3sIIjVxv9978Aqzr+8gvw1FP2aAorxr7zDsBVCez/Z59lEQOnWywiAUrBiAQGlknnKMh339m1QbgfBKcOsjDvL26qU8euW8L9Nbhs+MEH7VVJvD9qlL0nD0dVxo/nGkSnWysiAUTBiPg3joC89ZY9FXDwoL0fy08/2Ymr4gzm6HD/DC4NZg0T1nK58047eZj7+wwcCHC5JpNeP/44UxVOvS0A8vZFAoYn/j8pGBH/xR1EuS7/4YdZs9lOTmXhpUSlmsVhLGXPlUtff22PhkyaZNcqYW4Pc03+/W/W5LZzSziqdfmyo811rTBKvJOriGSN6/9TVlZLKoFV/BNzFO65xy7jznfiY8YATzyhMub+rEgRoH9/+9izB2D5b46MuG7zYGDSpYsdnHDazce/z4iICLMPh2ufDRaFcpX7dncpJMuic0mjlpx6j/rZv/uZIyIMRPj/if+v+P8rsxSMiP/54gs7H4GbxBUvbk8D3HKL060Sd3A6jYnGL7wAcKOyjz4CZswAjh8HuIkfD+6Rw6CkWzeWj/RZ04rzb+rKxmeZxSfhv//+Gzlz5sxUMCMZo34OjH5mIOL6f5VZCkbEf3Djp8GD7QRIYgDCF7ArO11KAOITm2v/HP5euUSYoyVffWXvHfTcc/bBOjEcUWGpfuaeeLVJYWYDNu6VktnNxvh1y5Ytwy233KKCiV6kfvb/fubjszIi4qJgRPwDK4GyaBmX6tKgQfYKDS+/MIkP8UmOS4V5nD4NfPmlHZiwgi5X5/Bg4mvfvkCfPvaUjhfxCTSzT6L8Ou7rwWqTepH0HvVz6PSzJuHEeXwxYv4AAxEuFeWL1CuvKBAJZiwr37MnsGiRXeWVRdaYc3L4MPD88/bOwqywy78JrXwRCXoKRsQ5XHExerS9lwzn77lKhqtl7r7b6ZaJL5UrZ4+CMRBhbglX43D65NNP7SXd3E10yhR7dZWIBCUFI+KMU6eAjh2BZ56xgxLujbJqFVClitMtE6dwrxsmtPLvYP16O4mZRe1+/tmeumHl18ces8vSi0hQUTAivsfN2Fipc84c+wWIZcXff5/rLJ1umfgLTtuxqBpzicaNAypVsvNMJkwAqlWzdxJmEqzDdUtExDMUjIhv8QWmaVM7T4DLOVeuBHr3Vv0QSV2hQnZFV46GzJtnJ7/yb2XhQrsIHoMUTvFkYZmuiDhPwYj4RHhMDCK4QoKBR0yM/aLC0uF8ByxyLSzE1LYt8M03wN699hLwwoXtLQK4SR8TXl1TPEp4FQk4CkbE+w4cwC2DByP8gw/sF5WRI+0h9oIFnW6ZBCKOqLEiLxNe+Td1ww32dgGs8NqsmT0FyBE4lXwXCRgKRsS7Ll1C5L33Iv/+/bCKFrX3K2HSqko7S1YxuZV7F3HjRO7qzKXCPMecJI7AsWYJtxDgrsIi4tf0iiDeNXQowjZuxKW8eXGZ+SGtWjndIglG119vJ0FztGTsWKBiRXvF1muv2XklrFnCIEVE/JKCEfGeH3+064gA2PTQQ3Y9CRFvYh7Jk08Cu3cD335r17CJi7NrljA/ife5e7DySkT8ioIR8Q4uw+T28ZaF+O7dcZRz+SK+wmnA9u3tVTccEeFmfCz9zoqv7drZBfaYb8JcExFxnIIR8Y5HH7Xn6itUQByHykWcUr++vQcOV+FwmXCePMCWLXahvQoV7K0HGDyLSOAEI7/99hvuv/9+FC5c2Gw3XKdOHaxjCe90LFmyBA0bNkRUVBQqV66MadOmZaXN4u8+/xz48EP73SnLe3O/GRGnlS1rF1A7dAh4+WWgZEngyBF7mTCXBjPZlZ8TEf8ORk6dOoWbbrrJ7Oo3b948bNu2DePGjUPBdJZo7tu3Dx06dMCtt96KTZs24bHHHkPv3r0xn1uJS/BhAmG/fvZtrpq56SanWySSVIECwFNP2YX3+Maodm3g7Fk72ZWJr5xeZAl6EfEZt7ZFffnll1GmTBlMnTo14VwFDnOm4+233zaPYdBCNWrUwPLlyzF+/Hi0adMm1a+JiYkxh8uZM2fMx9jYWHN4iutanrxmSIuPR0SPHgg/dQrxjRohjjuxJvqdqZ+9T33tBlZy5SqbLl0QNn8+wsePRzh3kOaUzscfI751a8Q//jgsJr0mqxCsfvYN9XPg93NGrxlmWRlPK69Zs6YJIA4fPoylS5eiVKlSePjhh9GHlTXTcMstt5gpmtdffz3hHIMZjpCcTmOe9qWXXsLQoUNTnJ8+fTpyaf8Sv1Xx669R5/33cTkqCkteew3nubGZSADJv2cPKn/1FUquWIFwbuDIXOzy5bGnY0f81rw5rEi33r+JhLwLFy6ga9eu5vU+XzpT9m4FIzlYUAjMARuIzp07Y+3atRgwYIAZ/ejRo0eqX1O1alX07NkTQ/gu+Yq5c+eaqRs2knknGRkZ4YjMyZMn0/1hMhOxLVy4ENHR0WbqSbJg82ZENm2KsEuXEPfGG4hPFKCqn31Hfe0h+/cjfOJEhL//PsLOnzenrNKlEf/II4jv3RuxOXOqn31Af8+B3898/S5SpMg1gxG3wvz4+Hhcf/31GMWNqQA0aNAAW7ZsSTcYyQwmuvJIjp3kjT9Ib103ZFy8aK9M4DLJO+5AxEMPISKVje/Uz76jvs6iKlWA//7XFO3D22+b22GHDyPi6acRMWoUwnv3Ro5atdTPPqJ+Dtx+zuj13EpgLVGihJmqSYw5IAe5WVUaihcvjuPHjyc5x/uMkFIbFZEAxI3KNm8GrrvO3hNEO/BKsGByPkd19++3/7Zr1OBbPUS89hpa9+2L8IcftpcMi0iWuBWMcCXNzp07k5zbtWsXyqVTWbNp06ZYxEJDiXA4iOclCPB366ojwidrBiQiwYYjtQ8+aNcnmTMH8TffjIjLlxHx7ruci7ZX4Gzb5nQrRUIjGHn88cexevVqM02zZ88ek1A6ZcoU9O/fP+ExzA3pzs2rrujXrx/27t2Lp556Cjt27MCbb76Jzz//3FxLAtyffwKu6Tku573jDqdbJOJdrJ3ToQPifvgBP44ahXiuCGS5ea7A4RLhe+4BNmxwupUiwR2MNG7cGLNmzcKnn36K2rVrY/jw4WaVTDeWWr7i6NGjSaZtuKz322+/NaMh9erVM0t833333TSX9UqAYN4zA5DffrPfGb76qtMtEvGpP2vWRNw33wAs+nj33fb/iS+/BBo1skvOL1/udBNFAobb69TuuOMOc6QlteqqLVu2xEbtmBlc+E5w5kyASx0/+QTIndvpFok4g8EHg5CtW+2NIbkpHzfj49GihZ1TlUqtEhG5SnvTiPuYzOeamnvpJXv7dpFQV6uWHaTv2gVwaTtXESxdCtx+O9CkCfDVV6YwoIikpGBE3MP5cSbrsXw2S70//bTTLRLxL5UqAVOm2KtsBgwAuGpw7VqgUyegXj1gxgz7/5GIJFAwIu7hDqecC8+b194Ej9uyi0hKpUsDrDzNkUQuD+b/Ga7G6dLFXiL8/vt2bR4RUTAibli/HnjhBfv2xIn29usikj4ud2ehyAMHgGHDgEKFgN27gV69gMqVgUmTgL//drqVIo5SMCIZc+ECwFVTly8D//wnkGj5tohksIDa88/bQQlXnxUvDhw6BPzf/9mBPUcdOf0pEoIUjEjGDBoEsOBdyZJ2eWytDBDJnDx5gCeeAPbtA958E2DRSFapHjzYvs2k8FOnnG6liE8pGJFr+/Zb+0mTuHS7cGGnWyQS+Ljx6EMP2VM2U6fa9XoYhHA/nPLl7SlRFhYUCQEKRiR9J07YZbDpsceA6GinWyQSXLgEmBtNspz8Z58BdeqY/W8wfLgdlHBqR0GJBDkFI5I2VpTs3dsOSFjqmgWdRMQ7uDLt3nuBTZuA//0PqFvXziEZMcIOSp57DvjjD6dbKeIVCkYkbe+8A7DcdfbsdpVVDiuLiPf3v/nHPwBWrWZlV9YmYVAycqQdlDzzDHDypNOtFPEoBSOSOlaRdG1myBERvksTEd8GJdzzhhvvzZoF1K8PnDtn/3/k6hvWLlFQIkFCwYikFBsL3H+/vZz3ttvsXBERcS4oYfVWBiWzZ18NSsaMsUdKWAX599+dbqVIligYkZSYOMfy1QUKAB98YD8ZioizuJy+Y0c7KOE+Nw0aAOfPAy+/bI+UcGmwghIJUHqVkaRWrrTnpmnyZLuktYj4V1By1112ReSvv7Z3DWZQwqJpHCl56ik76VwkgCgYkauYJMfpGe4sys3wmNkvIv6JQcmdd9qjmEw05+7ZnFodO9YeKWGhQgUlEiAUjMhV3GGUVSFZBZJ7z4hIYAQld9wBrFkDzJkDNG5sByUsOc+RkieftCu8ivgxBSNi4zw0q0DyiY278ebP73SLRMQd/L/boQPw00921eQbbrA34Bs3zh4pGTgQOHbM6VaKpErBiNjeeMP+eN99QPPmTrdGRLISlLRvD6xeDcybBzRpYgcl48cDFSva0zdKdBU/o2BE7FLT06fbt/v3d7o1IuKpoKRtW2DVKuC7764GJZy+4UgJi6epoqv4CQUjYk/PXLxoV3ps1szp1oiIp4OSNm3soGTuXDvRlatvXMXTuCHfX3853UoJcQpGQh1Xzrz11tVRET5xiUjw4f/tdu3sRFfWKXGVmXdtyMeP3KBPxAEKRkLdggXAr7/aCatduzrdGhHxVZ0SJq1/8QVQqxZw+rQ9QsKRElZ2ZYVXER9SMBLqXImr3MI8d26nWyMivsLKyvfcA/zyCzBjBlC9up0/xj1vGJQwt4RLhEV8QMFIKNu/314CSA8/7HRrRMSpoORf/wK2bLGX9VeubG/Ax1U3XH0zYYKdUybiRQpGQtnbbwOWBURHA1WrOt0aEXFSRIRdgXn7duD99+08EhZL40aZlSrZo6gxMU63UoKUgpFQxXc6775r39aoiIi4REYCPXsCO3cCU6YAZcoAR44AjzwCVKlin+PO3iIepGAkVM2cadcY4BMNS0mLiCSWPTvQpw+we7c9KlKyJHDoENC3L1Ctml0S4PJlp1spQULBSKgnrvbrZ78TEhFJTVSUPXrKVXevvw4UK2bvYfXgg0CNGsDHHwNxcU63UgKcgpFQxK3HuX9FtmxAr15Ot0ZEAkGOHPZmmnv32ittihQB9uyxd/iuXRv47DO7bpFIJigYCUVvvml/7NzZfpcjIpJRuXIBTzxhj46wimuhQsCOHfa+Vg0aAF9/bSfGi7hBwUio0T40IuIJefIATz9tByXDhgH58tk1Szp2BG68EVi4UEGJZJiCkVDdh6Z+faBpU6dbIyKBjkHI88/bQQkLpnHkhCXnb78daNkS+PFHp1soAUDBSKjuQ8OENO1DIyKewumaUaPsnBLWJmHi67JlwC232Bv1MUARSYOCkVCifWhExNuYhzZ+vJ3c6lqtx+eeJk3sKRxO5Ygko2AkFJfzsqCR9qEREW8qXdoeiWXxtB497LLzTG7lbsFMdmXSq8gVCkZCBedzXfvQPPSQ060RkVDB/W2mTQO2brX3wCEuA+ZuwXxjxOcmCXkKRkLF5Mnah0ZEnMNdgbk78M8/A3fdZeewMUjh8xHfIB0+7HQLJVCCkZdeeglhYWFJjur8A0vDtGnTUjw+BwvniHP70Gg5r4g4qW5d4Kuv7MKLXHHDkvLctJO7BQ8cCJw44XQLJRBGRmrVqoWjR48mHMuXL0/38fny5Uvy+AMHDmSlvZIZn39+dR+aDh2cbo2ICHDDDcD8+cDSpUDz5vaOwEx8rVABeOYZuyaShAy3NyWJjIxE8eLFM/x4joa483iKiYkxh8uZM2fMx9jYWHN4iutanrymP4p44w0Tdcb16YN4TtX4+OcNlX72B+pr31A/exDrHX3/PcK+/x7hL76I8HXrTGVX6403YA0YgMgaNdTPAfz3nNFruh2M7N69GyVLljTTLU2bNsXo0aNRtmzZNB9/7tw5lCtXDvHx8WjYsCFGjRplRlfSw2sOHTo0xfkFCxYgFwvqeNhCVgoMUvn37EHLNWsQFxmJBWXL4tLcuY61JZj72d+or31D/exhzz6L4mvXovr06ci/fz+yDx+O1nnzYveCBdjXrh3iWbtEAurv+cKFCxl6XJhlZbxe77x580xwUa1aNTPlwoDht99+w5YtW5A3b94Uj1+1apUJXurWrYvTp0/j1VdfxbJly7B161aU5rIvN0ZGypQpg5MnT5ppH09GbOz86OhoZOOmcUEook8fhH/wAeK7dEHcBx840oZQ6Gd/ob72DfWzl8XHI+x//0P40KEI37XLnLJKlkT8kCGI5wqc7NmdbmFQifXi3zNfv4sUKWJigPRev90aGWnXrl3CbQYYTZo0MaMen3/+OXqlsvsrR054uDRr1gw1atTA5MmTMXz48DS/T1RUlDmSYyd54z++t67rOM65cgkdk4MeeQThDv+MQdvPfkh97RvqZy/q2hWxd9+NTYMHo8HXXyPswAFE/N//IeK117iaAujWDYiIcLqVQSWbF/6eM3q9LC3tLVCgAKpWrYo9rLSXwUY1aNAgw4+XLNI+NCISyCIjcahVK1zesgWYONGu7sq6JCyixlU5//ufNuMLElkKRjhl8+uvv6JEiRIZenxcXBw2b96c4ceLh/ah4XJe7UMjIoGKI+WPPGJvZzFmDFCwILBtG/DPfwKNGwPffaegJJSCkSeffBJLly7F/v37sXLlStx9992IiIhAly5dzOe7d++OIdy18Yphw4aZpNO9e/diw4YNuP/++83S3t69e3v+J5GkuGTOtQ/Nld+PiEhA4zYWgwfboyPcKThPHmD9euYQAC1aaIfgUAlGDh8+bAIPJrDee++9KFy4MFavXo2iRYuazx88eNAktrqcOnUKffr0MXki7du3N4ksDGJq1qzp+Z9EknrzTfuj9qERkWDDN1nDhtk7BLNQGkdOGIhwh2AGJgxQJKC4lcA6g6V807FkyZIk98ePH28O8THtQyMioYBvhMeNAx5/HBgxAnjvPXvKhsc999gBi978BgTtTROMWFpZ+9CISKhgqQg+73En4Pvvt3PkmNxap46d7KrN+PyegpFgw9UzfHdA2odGREJJpUrARx8Bv/wC3H23ncj/4YdAtWrAww8DR4443UJJg4KRYN2HhlVx77jD6daIiPhe7drAl18Ca9bYm/GxJDlXFzJYeeop+zlS/IqCkWDzxhv2x379VBBIREIbl/1yZeHixay6aY8cjx1rb8bHwmlX9j0T5ykYCSbcYIrvBFgqOZWKuCIiIallS4A7zDOxn0Ugz54FuP9ZxYp2AuzffzvdwpCnYCQYl/N27gxcd53TrRER8R9Mam3f3l72y+lsJvdzuubJJ4EqVYApU3y+o7lcpWAkWPA/1aef2reVuCoikrrwcPsN29atdrJ/mTLAb78Bffvay4D5PMrEV/EpBSPBYtq0q/vQ3Hij060REfFvkZHAgw8Cu3cDEybYNUu4b1rXrkCDBsCcOSox70MKRoKB9qEREckcVm999FG7misLp3Gbey4NvvNO4KabWM3T6RaGBAUjwbYPDaN6ERFxD/e5efZZu0Aa97/JmRNYtQq49VagTRt7gYB4jYKRYFrOy31ocuVyujUiIoGrUCF7Z2C+wWOhNE7nLFhgLxPmLsHbtzvdwqCkYCTQMYqfO9e+zf84IiKSdSVK2G/0du4E/v3vqyXmWVDtgQeA/fudbmFQUTASLPvQsMogl6eJiIjnsBYJS8pv3gx06mTn6H3wgb00mLkmx4453cKgoGAkkGkfGhER36hVC5g1C/jpJ6B1a7smycSJdon5Z54BTp1yuoUBTcFIsOxD06GD060REQl+N9wALFwILFoENGkCXLgAjB5tj6Dw4/nzTrcwICkYCWTah0ZExBm33Wavtpk92x41+esve4SEIyWTJgGXLjndwoCiYCRQaR8aERFnMam1Y0fg55+Bjz+2R0eOHwf+7/+AatXsXJO4OKdbGRAUjAQq7UMjIuIfODLdrZu97JfPzVyJw9U2PXoA9erZoyeq5pouBSOBSPvQiIj4H45UP/SQXVb+5ZeBggXtPXDuvtvepuOHH5xuod9SMBKIpk61V9Jw/wTtQyMi4l9YfPKpp+wS86zqyvucVm/VCoiOBtaudbqFfkfBSCDvQ8MiZ9qHRkTEPxUoYO93w2quzCPJlg34/nt7Rc4//gFs2+Z0C/2GgpFA3IeG0Tb/yLUPjYiI/yteHPjvf4Fdu+w8Er6JZM2SOnXsbTz2q5qrgpFA8/779kftQyMiEljKlwemTbOruTKPhCPdvF/1SjVXrsQJUQpGAgn/cFloh+691+nWiIhIZrAuyZdf2tVcmUcSm6ia63PPAadPI9QoGAkkXMvOksN58wLXX+90a0REJCuYO8Icku+/t3cFZvXWkSOBChWAV16xq7uGCAUjgcQ1KtKihb2ttYiIBL5WrexREo6W1Khhv+kcPBioXNneDJUjJ0FOwUggca1RZxliEREJHmFhdh4J80mYR1KuHHD0qF23hAHK9On2VH2QUjASKBgZL1tm31YwIiISvNVce/QAdu60V+CwwjaXBrPCK2tLzZkTlNVcFYwEChbJ4XxikSL2cjAREQleUVF2bRIGIqxVki8f8MsvwJ13As2bAz/+iGCiYCTQ8kVuvRUI169NRCQk5MljV3Hdtw8YNAjIkQNYsQK45RagfXtg0yYEA72qBQrli4iIhK5ChewVNtz3pm9fezpn3jx76qZLF2D3bgQyBSOB4O+/gZUr7dsKRkREQlepUvYKmx077CCEZsywk1wZpPz2GwKRgpFAwEDk0iWgdGmgShWnWyMiIk6rXNleYbNxoz1dExcHTJlin+cmfX/+iUCiYCSQ8kU4KqKN8URExKV+feDbb+3VljfdZO/oPnYsULGiXUDt3DkEAgUjgUD5IiIikh7XChsu/a1b1y4pz9LyLDHPUvMxMfBnCkb8Hf+guKyXFIyIiEhaOHLeoYM9dfPJJ/boyIkT9iZ81asDH35oT+f4IQUj/o6RLqvuMVekTBmnWyMiIv4uPBzo2hXYvh14802geHFg/367mFq9esBXX/ld4TS3gpGXXnoJYWFhSY7qjLbSMXPmTPOYHDlyoE6dOpg7d25W2xy6+SIiIiIZlT27XU6ehdPGjAEKFAC2bgU6dQKaNQOWLEHAjozUqlULR48eTTiWL1+e5mNXrlyJLl26oFevXti4cSM6depkji1btmS13aFD+SIiIpIVuXLZG+/t3QsMGQLkzAmsXm0X0WzTBtiwAU5ze+vXyMhIFOeQTwZMmDABbdu2xSBWjQMwfPhwLFy4EJMmTcLbXCedhpiYGHO4nDlzxnyMjY01h6e4ruXJa3rU778jG8v/so033xywOzf6fT8HEfW1b6iffUP97IVqrkOHAv36IXz0aIS/+y7CFixAtgULcH2zZrhcoYJdr8SDMvq7czsY2b17N0qWLGmmXZo2bYrRo0ejbNmyqT521apVGDhwYJJzbdq0wezZs9P9HrzmUHZYMgsWLEAuRngexgDJH5VcsQKNmcNavjyWuJJYA5i/9nMwUl/7hvrZN9TPXtC2LXLVq4fqM2ag9LJlKLVyJVZ++SV+Z0VXD7pw4YLng5EmTZpg2rRpqFatmpmiYcDQvHlzM+2SN2/eFI8/duwYihUrluQc7/N8eoYMGZIkiOHISJkyZXD77bcjHzcL8mDExj/y6OhoZMuWDf4mnGvHGczedRfas6hNgPL3fg4m6mvfUD/7hvrZB3r1wsUNG3Bw3DjUHzQI2Zhn4kGumQ2PBiPt2rVLuF23bl0TnJQrVw6ff/65yQvxlKioKHMkxz9Gb/xBeuu6WXYluSiidWtE+GP7gqWfg5D62jfUz76hfvayhg2xo1s3VMye3eP9nNHrZWlpb4ECBVC1alXs4cY9qWBuyfHjx5Oc4/2M5pyEtEOH7I2PuESLuzOKiIgEqSwFI+fOncOvv/6KEiVKpPp55pQsci1NvYJDbjwv17B4sf2xcWMgf36nWyMiIuIfwciTTz6JpUuXYv/+/WbZ7t13342IiAizfJe6d+9u8j1cBgwYgO+++w7jxo3Djh07TJ2SdevW4ZFHHvH8TxJsVF9ERERChFs5I4cPHzaBxx9//IGiRYvi5ptvxurVq81tOnjwIMI5rXBFs2bNMH36dDz33HN45plnUKVKFbOSpnbt2p7/SYIJK+OpvoiIiIQIt4KRGTNmpPv5JalUc+vcubM5xA3MwTl82K6exyp5IiIiQUx70/gj16gIAxEv1FURERHxJwpG/JHyRUREJIQoGPE33KHXtZJGwYiIiIQABSP+hpsInjwJ5M5tL+sVEREJcgpG/DVfhIXOPFyWV0RExB8pGPE3yhcREZEQo2DEn1y+DCxdat9WMCIiIiFCwYg/Wb8eOHsWKFgQqFfP6daIiIj4hIIRf8wXufVWICLC6daIiIj4hIIRf6J8ERERCUEKRvzFxYvAihX2bQUjIiISQhSM+IvVq+2ApEQJoHp1p1sjIiLiMwpG/EXiXXrDwpxujYiIiM8oGPEXyhcREZEQpWDEH3A575o19m0FIyIiEmIUjPiD5cvtgmcVKgDlyzvdGhEREZ9SMOJP+SKtWjndEhEREZ9TMOIPlC8iIiIhTMGI0/74A9i06WrlVRERkRCjYMRp3BjPsoCaNYHixZ1ujYiIiM8pGHGa8kVERCTEKRhxmvJFREQkxCkYcdKRI8COHXbF1RYtnG6NiIiIIxSMOGnxYvtjw4ZAwYJOt0ZERMQRCkacpHwRERERBSOO4Qoa5YuIiIgoGHHMvn3AgQNAZCRw881Ot0ZERMQxCkacnqK58UYgd26nWyMiIuIYBSNOUb6IiIiIoWDEqXwRVzCifBEREQlxCkacsG0bcPw4kDMn0KSJ060RERFxlIIRJ7hGRZi4GhXldGtEREQcpWDECcoXERERSaBgxNfi4oAlS+zbyhcRERFRMOJzGzcCf/0F5M8PNGjgdGtEREQcp2DEqSkabozHgmciIiIhLkvByJgxYxAWFobHHnsszcdMmzbNPCbxkSNHDoQs5YuIiIgkkem35mvXrsXkyZNRt27daz42X7582LlzZ8J9BiQh6dIl4Mcf7dvKFxEREcn8yMi5c+fQrVs3vPPOOyhYsOA1H8/go3jx4glHsWLFEJJ++gm4cAEoWhSoVcvp1oiIiATuyEj//v3RoUMHtG7dGiNGjMhQ8FKuXDnEx8ejYcOGGDVqFGql82IcExNjDpczZ86Yj7GxsebwFNe1PHnN9IQvXIgIAPEtWyLu8mWECl/3cyhTX/uG+tk31M+B388ZvabbwciMGTOwYcMGM02TEdWqVcP7779vpnNOnz6NV199Fc2aNcPWrVtRunTpVL9m9OjRGDp0aIrzCxYsQK5cueBpCxcuhC/c9OWXKALgl6JFcWDuXIQaX/WzqK99Rf3sG+rnwO3nC5wNyIAwy+JGKRlz6NAhXH/99abBrlyRli1bon79+nj99dczHCXVqFEDXbp0wfDhwzM8MlKmTBmcPHnS5J94CtvCnyU6OhrZsmWDV50/j8jrrkMYR3e2bwcqVUKo8Gk/hzj1tW+on31D/Rz4/czX7yJFipjBiPRev90aGVm/fj1OnDhhplpc4uLisGzZMkyaNMkEEBERnIhIG3/QBg0aYM+ePWk+Jioqyhypfa03/iC9dd0k1qzhbxwoWxbZqlVjIg1CjU/6WQz1tW+on31D/Ry4/ZzR67kVjLRq1QqbN29Ocq5nz56oXr06Bg8efM1AxBW88Brt27dHSEm8S28IBiIiIiIeCUby5s2L2rVrJzmXO3duFC5cOOF89+7dUapUKZP3QcOGDcONN96IypUr46+//sLYsWNx4MAB9O7dGyFF9UVERERS5fESoAcPHkR4+NUVw6dOnUKfPn1w7Ngxswy4UaNGWLlyJWrWrImQwfLv69fbt2+91enWiIiIBFcwssS16Vsa98ePH2+OkLZ0KRAfz6VFQKlSTrdGRETEr2hvGl/ni4iIiEgSCkZ8QfkiIiIiaVIw4m3HjwNbtti3W7Z0ujUiIiJ+R8GIty1ebH+sXx8oXNjp1oiIiPgdBSPepnwRERGRdCkY8Tbli4iIiKRLwYg3HTgA/PorwMq0zZs73RoRERG/pGDEF6MiN9zA8rVOt0ZERMQvKRjxJuWLiIiIXJOCEW+xLOWLiIiIZICCEW/ZuRM4cgSIigKaNnW6NSIiIn5LwYi3uEZFbroJyJHD6daIiIj4LQUj3qJ8ERERkQxRMOIN3KHXVXlVwYiIiEi6FIx4A/ei+fNPezlv48ZOt0ZERMSvKRjxhp9/tj82aABERjrdGhEREb+mYMQbtm2zP9aq5XRLRERE/J6CEW9QMCIiIpJhCka8GYzUrOl0S0RERPyeghFP+/tvYO9e+7aCERERkWtSMOKNyqtc2luoEHDddU63RkRExO8pGPFmvkhYmNOtERER8XsKRjxN+SIiIiJuUTDiaQpGRERE3KJgxNO2brU/KhgRERHJEAUjnhQTA+zZY99WMCIiIpIhCkY8adcueyVNgQJAiRJOt0ZERCQgKBjxVr6IVtKIiIhkiIIRT1K+iIiIiNsUjHiSVtKIiIi4TcGIJ2mDPBEREbcpGPGUS5eA3bvt2xoZERERyTAFI57CJb2XLwN58wKlSjndGhERkYChYMQbyataSSMiIpJhCkY8RcmrIiIimaJgxFOUvCoiIpIpCkY8RSMjIiIivg9GxowZg7CwMDz22GPpPm7mzJmoXr06cuTIgTp16mDu3LkIKrGxwM6d9m0FIyIiIr4JRtauXYvJkyejbt266T5u5cqV6NKlC3r16oWNGzeiU6dO5tiyZQuCxq+/2gFJ7txAmTJOt0ZERCT4g5Fz586hW7dueOedd1CwYMF0HzthwgS0bdsWgwYNQo0aNTB8+HA0bNgQkyZNQlBO0YRr5ktERMQdkciE/v37o0OHDmjdujVGjBiR7mNXrVqFgQMHJjnXpk0bzJ49O82viYmJMYfLmTNnzMfY2FhzeIrrWlm9ZvjmzYgAEF+9OuI82L5g4al+lmtTX/uG+tk31M+B388ZvabbwciMGTOwYcMGM02TEceOHUOxYsWSnON9nk/L6NGjMXTo0BTnFyxYgFy5csHTFi5cmKWvb7RoEUoD2B4Whj3Blg/jR/0sGae+9g31s2+onwO3ny9cuOD5YOTQoUMYMGCAaTCTUb1lyJAhSUZTODJSpkwZ3H777ciXL59HIzb+LNHR0ciWLVumrxP5/PPmY7W770bV9u091r5g4al+lmtTX/uG+tk31M+B38+umQ2PBiPr16/HiRMnTM6HS1xcHJYtW2ZyQDi1EhHBCYurihcvjuPHjyc5x/s8n5aoqChzJMdO8sYfZJauyxLwu3aZm5FM5tV/mDR56/cnKamvfUP97Bvq58Dt54xez61sy1atWmHz5s3YtGlTwnH99debZFbeTh6IUNOmTbFo0aIk5xiB8XxQ2LePSS5AzpxA+fJOt0ZERCTguDUykjdvXtSuXTvJudy5c6Nw4cIJ57t3745SpUqZvA/itE6LFi0wbtw4k/TKnJN169ZhypQpCKqVNDVqaCWNiIhIJnj81fPgwYM4evRowv1mzZph+vTpJvioV68evvjiC7OSJnlQExQb5ImIiIhvlvYmtmTJknTvU+fOnc0RlFQGXkREJEs0r5BV2iBPREQkSxSMZEVcHLB9u31bIyMiIiKZomAkKw4cAC5e5FpkoEIFp1sjIiISkBSMeCJ5tXp1IJVlzSIiInJtCkayQsmrIiIiWaZgJCuUvCoiIpJlCkayQiMjIiIiWaZgJLPi4xWMiIiIeICCkcw6eJB7IwPZswOVKjndGhERkYClYCSzXKMi1aoBkVkuZCsiIhKyFIxklqZoREREPELBSGZpgzwRERGPUDCSWRoZERER8QgFI5lhWaoxIiIi4iEKRjLj8GHg3Dk7cbVyZadbIyIiEtAUjGSGa1SkalUgWzanWyMiIhLQFIxkhpJXRUREPEbBSGYoeVVERMRjFIxkhpJXRUREPEbBSFZW0mhkREREJMsUjLjryBHg9GkgIgKoUsXp1oiIiAQ8BSPuco2KcElvVJTTrREREQl4CkbcpXwRERERj1Iw4i7li4iIiHiUghF3KRgRERHxKAUj7q6kUcEzERERj1Iw4o7jx4FTp4DwcKBaNadbIyIiEhQUjGRmiqZSJSBHDqdbIyIiEhQUjLhD+SIiIiIep2DEHcoXERER8TgFI+7QyIiIiIjHKRhxhwqeiYiIeJyCkYz6/Xfg5EkgLEwraURERDxIwYi7oyIVKgC5cjndGhERkaChYCSjlLwqIiLiFQpGMkrJqyIiIl6hYCSjlLwqIiLifDDy1ltvoW7dusiXL585mjZtinnz5qX5+GnTpiEsLCzJkSNQK5dqZERERMQrIt15cOnSpTFmzBhUqVIFlmXhgw8+QMeOHbFx40bUSmPEgEHLzp07E+4zIAk4f/xh70tD1as73RoREZHQDUbuvPPOJPdHjhxpRktWr16dZjDC4KN48eIIaK5RkXLlgDx5nG6NiIhI6AYjicXFxWHmzJk4f/68ma5Jy7lz51CuXDnEx8ejYcOGGDVqVJqBi0tMTIw5XM6cOWM+xsbGmsNTXNe61jXDN29GBID4mjUR58HvHyoy2s+Sdepr31A/+4b6OfD7OaPXDLM43+KGzZs3m+Dj4sWLyJMnD6ZPn4727dun+thVq1Zh9+7dJs/k9OnTePXVV7Fs2TJs3brVTPmk5aWXXsLQoUNTnOf3yuVAjY/a776LSnPmYHenTtj2wAM+//4iIiKB6MKFC+jatauJAZi24bFg5NKlSzh48KC58BdffIF3330XS5cuRc0MJHYyQqpRowa6dOmC4cOHuzUyUqZMGZw8eTLdH8ZdbM/ChQsRHR2NbNmypfm4iLZtEf7DD7j8zjuwevTw2PcPFRntZ8k69bVvqJ99Q/0c+P3M1+8iRYpcMxhxe5ome/bsqFy5srndqFEjrF27FhMmTMDkyZOv+bX8IRs0aIA9e/ak+7ioqChzpPb13viDvOZ1t283HyLr1OGDPf79Q4W3fn+SkvraN9TPvqF+Dtx+zuj1slxnhLkgiUcxrpVnwmmeEiVKIGCcOgUcPWrfrlHD6daIiIgEHbdGRoYMGYJ27dqhbNmyOHv2rMnhWLJkCebPn28+3717d5QqVQqjR48294cNG4Ybb7zRjKT89ddfGDt2LA4cOIDevXsjYFwZFUGZMlyn7HRrREREQjsYOXHihAk4jh49ivz585vEVAYinGci5pKEh18dbDl16hT69OmDY8eOoWDBgmZaZ+XKlRnKL/EbKnYmIiLiP8HIe++9l+7nOUqS2Pjx480R0LRBnoiIiFdpb5pr0ciIiIiIVykYuRZtkCciIuJVCkbSw8qvhw/bt7WSRkRExCsUjGRkVKRkSaBAAadbIyIiEpQUjKRH+SIiIiJep2AkPcoXERER8ToFI+nRyIiIiIjXKRhJj4IRERERr1MwkpZz54ADB+zbWkkjIiLiNQpGrrUnTbFiQOHCTrdGREQkaCkYSYuSV0VERHxCwUhalC8iIiLiEwpG0qIN8kRERHxCwUhaNDIiIiLiEwpGUnP+PLB/v31bOSMiIiJepWAkNTt3ApYFFC0KFCnidGtERESCmoKR1GiKRkRExGcUjKRGyasiIiI+o2AkNRoZERER8RkFI6lRwTMRERGfUTCS3N9/A3v32rc1MiIiIuJ1CkZSW0kTHw8UKgRcd53TrREREQl6CkbSyxcJC3O6NSIiIkFPwUhyyhcRERHxKQUjyWkljYiIiE8pGElONUZERER8SsFIYjExwJ499m0FIyIiIj6hYCSxXbvslTT58wMlSjjdGhERkZCgYCSt5FWtpBEREfEJBSOJKXlVRETE5xSMJKbkVREREZ9TMJKYRkZERER8TsGIy6VLwO7d9m0VPBMREfEZBSMuXNJ7+TKQNy9QqpTTrREREQkZCkZSyxfRShoRERGfUTDionwRERERRygYcVEwIiIi4v/ByFtvvYW6desiX7585mjatCnmzZuX7tfMnDkT1atXR44cOVCnTh3MnTsXfkm79YqIiPh/MFK6dGmMGTMG69evx7p163DbbbehY8eO2OrKt0hm5cqV6NKlC3r16oWNGzeiU6dO5tiyZQv8ChNXd+60b2tkRERExH+DkTvvvBPt27dHlSpVULVqVYwcORJ58uTB6tWrU338hAkT0LZtWwwaNAg1atTA8OHD0bBhQ0yaNAl+t5ImNhbInRsoU8bp1oiIiISUyMx+YVxcnJmCOX/+vJmuSc2qVaswcODAJOfatGmD2bNnp3vtmJgYc7icOXPGfIyNjTWHp7iuFX9lpCa+enXzc4GHeLyfPfm7k9Spr31D/ewb6ufA7+eMXtPtYGTz5s0m+Lh48aIZFZk1axZqpjG1cezYMRQrVizJOd7n+fSMHj0aQ4cOTXF+wYIFyJUrFzxt75w5qAHgcL582OivOS1BYOHChU43IWSor31D/ewb6ufA7ecLFy54JxipVq0aNm3ahNOnT+OLL75Ajx49sHTp0jQDkswYMmRIkhEVjoyUKVMGt99+u0mc9WTExs6vciVyKxUdjRLt23vs+pK0n6Ojo5EtWzanmxPU1Ne+oX72DfVz4Peza2bD48FI9uzZUblyZXO7UaNGWLt2rckNmTx5corHFi9eHMePH09yjvd5Pj1RUVHmSI6d5I0/yIgdO+yPdeogQn/wXuOt35+kpL72DfWzb6ifA7efM3q9LNcZiY+PT5LfkRincxYtWpTkHKOvtHJMnBDG/JBdu+w7WkkjIiLic5HuTp+0a9cOZcuWxdmzZzF9+nQsWbIE8+fPN5/v3r07SpUqZXI+aMCAAWjRogXGjRuHDh06YMaMGWZJ8JQpU+Avch0/jjAGUzlzAuXLO90cERGRkONWMHLixAkTcBw9ehT58+c3BdAYiHCeiQ4ePIjw8KuDLc2aNTMBy3PPPYdnnnnGLAnmSpratWvDX+Q9dMi+UaMGkKjtIiIi4ofByHvvvZfu5zlKklznzp3N4a/yHjxo39AUjYiIiCNCfigg7+HD9g0FIyIiIo5QMOKaplEwIiIi4ojQDkbi4q6OjGiDPBEREUeEdjBy4AAiLl2CxZomFSo43RoREZGQFNLBSNi2bfaNatWAiAinmyMiIhKSQjsY2b7dfLS4rFdEREQcoWCEwYiSV0VERBwT0sEINDIiIiLiuJAORuIfegh7O3SA1aCB000REREJWW7v2htMrO7dsblIEZQpV87ppoiIiISskB4ZEREREecpGBERERFHKRgRERERRykYEREREUcpGBERERFHKRgRERERRykYEREREUcpGBERERFHKRgRERERRykYEREREUcpGBERERFHKRgRERERRykYEREREUcFxK69lmWZj2fOnPHodWNjY3HhwgVz3WzZsnn02nKV+tl31Ne+oX72DfVz4Pez63Xb9Toe0MHI2bNnzccyZco43RQRERHJxOt4/vz50/x8mHWtcMUPxMfH48iRI8ibNy/CwsI8GrExwDl06BDy5cvnsetKUupn31Ff+4b62TfUz4HfzwwxGIiULFkS4eHhgT0ywh+gdOnSXrs+O19/6N6nfvYd9bVvqJ99Q/0c2P2c3oiIixJYRURExFEKRkRERMRRIR2MREVF4cUXXzQfxXvUz76jvvYN9bNvqJ9Dp58DIoFVREREgldIj4yIiIiI8xSMiIiIiKMUjIiIiIijFIyIiIiIoxSMiIiIiKNCOhh54403UL58eeTIkQNNmjTBmjVrnG5SUBk9ejQaN25syvhfd9116NSpE3bu3Ol0s4LemDFjzLYJjz32mNNNCTq//fYb7r//fhQuXBg5c+ZEnTp1sG7dOqebFXTi4uLw/PPPo0KFCqafK1WqhOHDh19zszVJ37Jly3DnnXea0ux8jpg9e3aSz7N/X3jhBZQoUcL0e+vWrbF79274QsgGI5999hkGDhxo1lZv2LAB9erVQ5s2bXDixAmnmxY0li5div79+2P16tVYuHCh2Rny9ttvx/nz551uWtBau3YtJk+ejLp16zrdlKBz6tQp3HTTTWZX03nz5mHbtm0YN24cChYs6HTTgs7LL7+Mt956C5MmTcL27dvN/VdeeQUTJ050umkB7fz58+a1jm/EU8M+/u9//4u3334bP/30E3Lnzm1eFy9evOj9xlkh6oYbbrD69++fcD8uLs4qWbKkNXr0aEfbFcxOnDjBtzXW0qVLnW5KUDp79qxVpUoVa+HChVaLFi2sAQMGON2koDJ48GDr5ptvdroZIaFDhw7Wgw8+mOTcP/7xD6tbt26OtSnYALBmzZqVcD8+Pt4qXry4NXbs2IRzf/31lxUVFWV9+umnXm9PSI6MXLp0CevXrzdDUIk34+P9VatWOdq2YHb69GnzsVChQk43JShxFKpDhw5J/q7Fc77++mtcf/316Ny5s5l2bNCgAd555x2nmxWUmjVrhkWLFmHXrl3m/s8//4zly5ejXbt2TjctaO3btw/Hjh1L8vzBDe6YwuCL18WA2LXX006ePGnmJIsVK5bkPO/v2LHDsXYFs/j4eJPDwGHu2rVrO92coDNjxgwz3chpGvGOvXv3mqkDTu8+88wzpq8fffRRZM+eHT169HC6eUHl6aefNtvaV69eHREREeb5euTIkejWrZvTTQtax44dMx9Te110fc6bQjIYEWfetW/ZssW8uxHPOnToEAYMGGDycpiMLd4LqDkyMmrUKHOfIyP8m+b8uoIRz/r888/xySefYPr06ahVqxY2bdpk3sww8VJ9HZxCcpqmSJEiJto+fvx4kvO8X7x4ccfaFaweeeQRzJkzB4sXL0bp0qWdbk7Q4ZQjE68bNmyIyMhIczB5mIlovM13lZJ1XGFQs2bNJOdq1KiBgwcPOtamYDVo0CAzOnLfffeZFUv//ve/8fjjj5sVeuIdrtc+p14XQzIY4bBqo0aNzJxk4nc9vN+0aVNH2xZMmCPFQGTWrFn44YcfzDI98bxWrVph8+bN5t2j6+A7eA5p8zYDb8k6TjEmX5rOnIZy5co51qZgdeHCBZPHlxj/jvk8Ld7B52cGHYlfFzlVxlU1vnhdDNlpGs77criPT9o33HADXn/9dbPsqWfPnk43LaimZjjM+tVXX5laI655RyZFcQ27eAb7NnkeDpfksRaG8nM8h+/MmVjJaZp7773X1CWaMmWKOcSzWAuDOSJly5Y10zQbN27Ea6+9hgcffNDppgW0c+fOYc+ePUmSVvmGhYsK2NecChsxYgSqVKlighPWeuHUGGtEeZ0VwiZOnGiVLVvWyp49u1nqu3r1aqebFFT455XaMXXqVKebFvS0tNc7vvnmG6t27dpmuWP16tWtKVOmON2koHTmzBnz98vn5xw5clgVK1a0nn32WSsmJsbppgW0xYsXp/qc3KNHj4Tlvc8//7xVrFgx8zfeqlUra+fOnT5pWxj/8X7IIyIiIpK6kMwZEREREf+hYEREREQcpWBEREREHKVgRERERBylYEREREQcpWBEREREHKVgRERERBylYEREREQcpWBEREREHKVgRERERBylYERERETgpP8Hi9B8u3nfcxsAAAAASUVORK5CYII=", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "N = 20\n", - "x = np.linspace(0, 10, N + 1)\n", - "with open(\"matrix_linear.txt\", 'r') as file:\n", - " data_str = file.read()\n", - "y = np.fromstring(data_str, sep=' ')\n", - "plt.plot(x, y, label=\"Linear element solution\", color='red')\n", - "plt.title(\"Linear element\")\n", - "plt.grid(True)\n", - "plt.legend()\n", - "plt.show()" + "# Solution of second-order linear ordinary differential equation" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 135, + "id": "7fced95c", + "metadata": {}, + "outputs": [], + "source": [ + "def write_to_file(name: str, array):\n", + " with open(f\"{name}\", 'w') as file:\n", + " for element in array:\n", + " file.write(f\"{element} \")" + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "id": "d20bde93", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "id": "8af07a56", + "metadata": {}, + "source": [ + "## Solution of $5u'' + 4u' + 1 = 0, u'(0) = u(0), u(10) = 5$" + ] + }, + { + "cell_type": "code", + "execution_count": 137, + "id": "d0fe0703", + "metadata": {}, + "outputs": [], + "source": [ + "def u(x):\n", + " return (9 * np.exp(8) * (x - 30) + 155 * np.exp(8 - 4 * x / 5) - 5 * (x + 1)) / (20 - 36 * np.exp(8))" + ] + }, + { + "cell_type": "markdown", + "id": "efac514a", + "metadata": {}, + "source": [ + "## Linear element" + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "id": "18bd929b", + "metadata": {}, + "outputs": [], + "source": [ + "def show_plot_linear(filename: str, elements: int):\n", + " with open(filename, 'r') as file:\n", + " data_str = file.read()\n", + "\n", + " x = np.linspace(0, 10, elements + 1)\n", + " y = np.fromstring(data_str, sep=' ')\n", + " y_real = u(x)\n", + "\n", + " plt.plot(x, y, label=\"Linear element solution\", color='red')\n", + " plt.plot(x, y_real, label=\"Numeral solution\", color='black')\n", + " plt.title(f\"Linear element, elements = {elements}\")\n", + " plt.grid(True)\n", + " plt.xlabel(\"X\")\n", + " plt.ylabel(\"Y\")\n", + " plt.legend()\n", + " plt.savefig(f\"linear_{elements}.png\", dpi=300)\n", + " plt.show()\n", + "\n", + " write_to_file(f\"linear_real_y_{elements}.txt\", y_real)" + ] + }, + { + "cell_type": "markdown", + "id": "d9a38740", + "metadata": {}, + "source": [ + "## Cubic element" + ] + }, + { + "cell_type": "code", + "execution_count": 139, "id": "73525bc7", "metadata": {}, + "outputs": [], + "source": [ + "def show_plot_cubic(filename: str, elements: int):\n", + " with open(filename, 'r') as file:\n", + " data_str = file.read()\n", + "\n", + " x = np.linspace(0, 10, 3 * elements + 1)\n", + " y = np.fromstring(data_str, sep=' ')\n", + " y_real = u(x)\n", + "\n", + " plt.plot(x, y, label=\"Cubic element solution\", color=\"green\")\n", + " plt.plot(x, y_real, label=\"Numeral solution\", color='black')\n", + " plt.title(f\"Cubic element, elements = {elements} \")\n", + " plt.xlabel(\"X\")\n", + " plt.ylabel(\"Y\")\n", + " plt.grid(True)\n", + " plt.legend()\n", + " plt.savefig(f\"cubic_{elements}.png\", dpi=300)\n", + " plt.show()\n", + "\n", + " write_to_file(f\"cubic_real_y_{elements}.txt\", y_real)" + ] + }, + { + "cell_type": "markdown", + "id": "3584baa4", + "metadata": {}, + "source": [ + "## Main part" + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "id": "b8a772e3", + "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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", 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" ] @@ -52,16 +160,82 @@ ], "source": [ "N = 20\n", - "x = np.linspace(0, 10, 3 * N + 1)\n", - "with open(\"matrix_cubic.txt\", 'r') as file:\n", - " data_str = file.read()\n", - "y = np.fromstring(data_str, sep=' ')\n", - "plt.plot(x, y, label=\"Cubic element solution\")\n", - "plt.title(\"Cubic element\")\n", - "plt.grid(True)\n", + "show_plot_linear(\"matrix_linear.txt\", N)\n", + "show_plot_cubic(\"matrix_cubic.txt\", N)" + ] + }, + { + "cell_type": "markdown", + "id": "22fe3de6", + "metadata": {}, + "source": [ + "## Errors" + ] + }, + { + "cell_type": "code", + "execution_count": 142, + "id": "e0e9266d", + "metadata": {}, + "outputs": [], + "source": [ + "def read_data_from_file(filename):\n", + " with open(filename, 'r') as file:\n", + " content = file.read().strip()\n", + " data = np.array([float(x) for x in content.split()])\n", + " return data\n", "\n", + "def show_error(program_file: str, analytical_file: str):\n", + " # Считывание данных из файлов\n", + " real = read_data_from_file(analytical_file)\n", + " matrix = read_data_from_file(program_file)\n", + " \n", + " # Расчет абсолютных разностей\n", + " absolute_errors = np.abs(real - matrix)\n", "\n", - "plt.show()" + " # Расчет относительных погрешностей (в долях)\n", + " # Добавляем маленькое значение к знаменателю для избежания деления на ноль\n", + " relative_errors = absolute_errors / (np.abs(real))\n", + "\n", + " # Расчет относительных погрешностей в процентах\n", + " relative_errors_percent = relative_errors * 100\n", + "\n", + " # Нахождение максимальной относительной погрешности\n", + " max_relative_error = np.max(relative_errors)\n", + " max_relative_error_percent = np.max(relative_errors_percent)\n", + " max_error_index = np.argmax(relative_errors)\n", + "\n", + " # Вывод результатов\n", + " print(f\"\\nМаксимальная относительная погрешность: {max_relative_error:.6f} ({max_relative_error_percent:.2f}%)\")\n", + " print(f\"Индекс точки с максимальной погрешностью: {max_error_index}\")\n", + " print(f\"Значения в точке с максимальной погрешностью:\")\n", + " print(f\" cubic_real: {real[max_error_index]}\")\n", + " print(f\" matrix_cubic: {matrix[max_error_index]}\")\n", + " print(f\" Абсолютная разность: {absolute_errors[max_error_index]:.6f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 143, + "id": "89918171", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Максимальная относительная погрешность: 0.107830 (10.78%)\n", + "Индекс точки с максимальной погрешностью: 0\n", + "Значения в точке с максимальной погрешностью:\n", + " cubic_real: 3.1950864987612366\n", + " matrix_cubic: 2.85056\n", + " Абсолютная разность: 0.344526\n" + ] + } + ], + "source": [ + "show_error(\"matrix_linear.txt\", \"linear_real_y_20.txt\")" ] } ],