diff --git a/homework3.docx b/homework3.docx new file mode 100644 index 0000000..5edff5e Binary files /dev/null and b/homework3.docx differ diff --git a/homework3.ipynb b/homework3.ipynb new file mode 100644 index 0000000..52db7df --- /dev/null +++ b/homework3.ipynb @@ -0,0 +1,859 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Практическое задание по теме “Введение в аналитическую геометрию”:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Задание 1\n", + "Напишите код на Python, реализующий расчет длины вектора, заданного его координатами. (в программе)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Введите координаты вектора А через запятую15,15,5\n" + ] + } + ], + "source": [ + "a=input('Введите координаты вектора А (X, Y, Z) через запятую: ')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[15, 15, 5]" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a = list(map(int,a.split(',')))\n", + "a" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "21.79449471770337" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a_len = (a[0]**2 + a[1]**2 + a[2]**2)**0.5\n", + "a_len" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Задание 3\n", + "Напишите код на Python, реализующий построение графиков:\n", + "- окружности,\n", + "- эллипса,\n", + "- гиперболы.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "from pylab import rcParams" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Окружность" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:8: RuntimeWarning: invalid value encountered in sqrt\n", + " \n", + "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in sqrt\n", + " if __name__ == '__main__':\n" + ] + }, + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'y')" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "R = 100\n", + "x = []\n", + "y = []\n", + "y2 = []\n", + "for i in range(-1000, 1000):\n", + " x.append(i)\n", + " y.append(np.sqrt(R**2 - i**2))\n", + " y2.append(-np.sqrt(R**2 - i**2))\n", + "\n", + "rcParams[\"figure.figsize\"] = 5, 5\n", + "plt.plot(x, y, color=\"red\")\n", + "plt.plot(x, y2, color=\"red\")\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Элипс" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in sqrt\n", + " if __name__ == '__main__':\n", + "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:10: RuntimeWarning: invalid value encountered in sqrt\n", + " # Remove the CWD from sys.path while we load stuff.\n" + ] + }, + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'y')" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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/PKYGaiGjqwouNLKZWW9gL+ClzKrRZva6md1sZh1TK6yp3nsvTsx74AG45pq4wP2WW6ZdlYikqaws5rA68sgYNXn22S3iaoEFGxpm1h54EDjP3ZcDfwL6AgOAhcC1jfzcKDOrMLOKqqqqvNXbqLfeggMOiMkFx42D//kfNUeJSNh6a/j732O26r/8JU4GXLky7arWqyBDw8w2IwLjTnd/CMDdF7l7jbuvBf4K7NvQz7r7GHcvd/fyzp0756/ohrz4Ihx4IHz2WUxudlTL7bsXkRwpKYmO8RtuiB3Lww6DZcvSrqpRBRcaZmbATcB0d/9t1vrsKV2PBabmu7YmGT8+TtDr2BGefz46vEREGnP22XDffVBREc3ZBTr9SCFOaHQgcBrwhplNyaz7KXCymQ0AHJgDfC+d8hKYMCHO/txllziRR1OBiEgSJ5wA224b3x9Dh8bIqgL7/ii40HD3fwMNNfq3jCG2//pX/MHLyiI8dIEkEWmKQw+Ff/4zmrNrg6NLl7Sr+q+Ca55q0f79bxg+PK6up8AQkY11yCERHLNnR3B88EHaFf2XQqO5zJgRF2Tp1SsCI+1OeBFp2QYPjo7xt9+GY4+NATUFQKHRHBYtirHWm20Gjz1WUIeSItKCDRkSl0iYODFmj1i7Nu2KCq9Po8X55JPow3j//fjD9umTdkUi0pqcfDLMnRuTHPbuDb/6VarlKDQ2hXsMk6uoiGt377NP2hWJSGt04YUwZw78+tewxx5xVc+UqHlqU9x2W8xQe9llMGJE2tWISGtlFtfaGTQoZsl9443USlFobKw334z5Yg49FC65JO1qRKS122wzuPfemHrkpJNSm25EobExVq6MP1q7dnDnnTENgIhIrnXvHhOeTp8e89ilQKGxMS6+GKZOhb/9Lf6IIiL5cthh8OMfx1xVTz2V97dXaDTVSy9F2+Lo0TEPvohIvl15ZUxTdNZZeW+mUmg0RXV1dEL16JH6sDcRKWJbbBFXAJw9Gy6/PK9vrdBoiptuilELv/+9ruktIuk65BD45jfhuuvgnXfy9rYKjaRWrICf/zyGvB17bNrViIjAFVdAaWn0s+aJQiOp3/4WFi+Ga6/VlfdEpDD06AEXXBBDcSsq8vKWCo0kPvkErr8+TuDTWd8iUkjOPx+22Qauvjovb6fQSOLGG+PyixdemHYlIiLr2nrrmM7owQdh5sycv51CY0Oqq6NJatAg2H//tKsREfm8c8+Ftm3juyrHFBobMmECzJsXfxQRkULUrRuMHAl33w2ffprTt1JobMhdd0V74Ve/mnYlIiKNO/VUWL48LtyUQwqN9Vm5Eh56KC72vsUWaVcjItK4IUOga9eYDy+HFBrrM24cfPxxqnPXi4gkUlISTVSPPprTa4orNNZn/Hjo1CnOvBQRKXTHHw+rV8Nzz+XsLRQa6/P227Dbbpr6XERahn794jaHQ28VGuszc2bMJCki0hJsu220jig0UvDxx7BgAZSVpV2JiEhyZWUKjVRUVsatQkNEWpKysmhazxGFRmNqk1rNUyLSkuyyC8yfn7OLMyk0GlOb1DvvnG4dIiJNUds6MmtWTn59iwsNMzvCzGaYWaWZXZSzN5o5E7bfHtq1y9lbiIg0u9rQyFG/RosKDTMrAf4IHAn0A042s345eTONnBKRlqg2NHLUr7HB0DCz0WbWMSfv3nT7ApXuPtvdVwP3ACNy8k4zZkCfPjn51SIiObP11tC5c3qhAXQDJpnZfZmmoTQvW9cDmJf1eH5mXfOaOhWWLo3Jv0REWpqaGrj//pz86g2GhrtfCpQBNwHfBGaa2a/MrG9OKlq/hgLL13mB2SgzqzCziqqqqo17l+23j7PA1Z8hIi3RFlvEbBY5kKhPw90deD+zVAMdgQfM7JqcVNW4+cAOWY97AguyX+DuY9y93N3LO3fuvHHv0qlT9GfoSENEWprqaqiqgqFDc/Lrk/Rp/NDMJgPXAP8BvujuZwMDgeNzUlXjJgFlZtbHzNoCI4FHcvJOu+ySl0sniog0q3ffhTVrcnZicmmC12wHHOfuc7NXuvtaMxuek6oa4e7VZjYaeAIoAW5292k5ebOyMnj8cVi7Ftq0qEFmIlLMajvA0woNd//5ep6b3rzlbJi7Pwo8mvM3KiuDzz6LS73uuGPO305EpFnkeDYL7UI3pnaDq4lKRFqSmTOhffu4il8OKDQak+OzKkVEcmLmzPj+ytHZEQqNxmy/PWy1VU5nixQRaXZvv53T2bkVGo0xy/m89CIizWr1apgzJ6dTICk01ifH89KLiDSrd96JEZ860kjJgAFxMab589OuRERkw55+Om4HDMjZWyg01uekk8Ad7rkn7UpERDbsrrtg993hi1/M2VsoNNZn551h333hzjvTrkREZP3mzoXnnoNTTsnZyClQaGzYqafClCnw5ptpVyIi0ri7747bU07J6dsoNDbk61+PGW9vvDHtSkREGlZTA7fcAvvvDzvtlNO3UmhsSLduMHIk/PWvsGxZ2tWIiHzeww/HSM/zzsv5Wyk0kvjJT+Djj+GGG9KuRERkXe5w1VXQty8cn/uJxxUaSXzpS3DUUfD738OKFWlXIyJSZ/x4mDQJLrggmtJzTKGR1GWXwZIlcE2+rzslItKImhr4n/+Jmbi/+c28vKVCI6l99oGTT4Zrr9XJfiJSGO64A157DX7967jEax4oNJriV7+KU/TPPz/tSkSk2H34IVx8cZxLNnJk3t5WodEUvXvDpZfCfffBuHFpVyMixezCC2Hx4higk8OT+epTaDTVT34Ce+wBZ58NH3yQdjUiUoyeeQbGjIEf/QgGDszrWys0mqptW7j5Znj/fTjzzBjuJiKSLx98AKedFjPZ/vKXeX97hcbG2GcfuPpqGDsW/vjHtKsRkWLhDt/7Xuy03nUXtGuX9xIUGhvrRz+C4cOjU/yVV9KuRkSKwfXXw/33wxVXQHl5KiUoNDaWGdx6K3TpEvNTaYoREcmliRPjBL4RI6JvNSUKjU2x7bZw770wbx4ceyx89lnaFYlIa/TWW/Eds/POcNtteR0tVZ9CY1MdcED8EZ99Ns7IXLs27YpEpDVZtAiOPBI22wwefRS22SbVckpTfffWYuTIuADKRRfF6fxXXZV2RSLSGnzySfSdLl4czVN9+qRdkUKj2fzkJzBnToyq6tAhAkREZGOtXAnHHBMDbf7+99Q6vutTaDQXM/i//4Ply+PU/jZtUu2sEpEWbNWq6PB++ulo/j766LQr+i+FRnMqKYk/8Nq1cYp/mzYx2kFEJKnawJgwIUZonnZa2hWto6BCw8x+AxwNrAZmAd9y9w/NrDcwHZiReemL7n5WKkVuSGlpzDzpHlMWL18eZ22mONpBRFqIDz+Er30tBtbccgucfnraFX1OQYUG8BRwsbtXm9nVwMXAhZnnZrn7gPRKa4LSUvjb3+Jszf/93zh784YbYr2ISEMWLIAjjojhtXfeGZdiKEAF9S3m7k9mPXwROCGtWjZZaSnceCN07w5XXhmjH+66C7baKu3KRKTQvPVWBMbSpfDPf8Jhh6VdUaMK+TyNbwOPZT3uY2avmtlEMxuUVlFNYhan+//hD/DII3DQQXEioIhIrcceg/32i76MZ54p6MCAFELDzMab2dQGlhFZr7kEqAbuzKxaCPRy972AHwN3mdnWjfz+UWZWYWYVVVVVuf7nJDN6dFx/Y9asGDb3/PNpVyQiaXOPK4EOHx7nX0yalPdpzjeGeYFN7W1mZwBnAUPdfWUjr3kGuMDdK9b3u8rLy72iYr0vya/p02Pc9dy58WEZPVod5CLFaPlyOOssuPtuOOGEGCWVwoy1jTGzye7e4IkhBdU8ZWZHEB3fx2QHhpl1NrOSzP2dgDJgdjpVboLdd4eXXoLDD4cf/hCOO04XchIpNpMnw957x7x1V14ZtwUUGBtSUKEB/B/wBeApM5tiZn/OrD8YeN3MXgMeAM5y95Y5rWynTvCPf8SRxj//CQMGwAsvpF2ViOSae0xtvv/+MbnpxInw05/G+VwtSME1TzWngmuequ/ll2PeqnffhcsvjzPINSxXpPVZvBhGjYKHH44+jFtvjVmyC1SLaZ4qOvvuG/PKHHccXHJJzJg7dWraVYlIc3GP5qd+/WKU1LXXxkjKAg6MDVFopK1Dh/hQ3XsvvPNOtHVeeSWsWZN2ZSKyKd5/H44/PloTdtopdhB//OMWP/hFoVEIzOLqf9OmxRQCl14KX/5ydJiJSMviHnPQ9e8f17+4+uoYZt+/f9qVNQuFRiHp0gXuuw8eeADeew/22QfOPluXkhVpKV57DQYNiguy7borTJnS6voqFRqF6PjjYcYM+MEPYMwY2GWXmJJEVwUUKUwffhj/X/feO/7v3nQT/PvfsNtuaVfW7BQahapDB/j97+HVV6MT7bvfjSariRPTrkxEaq1ZA3/6U+zY3XBDtAy8/TZ8+9stbihtUq3zX9WafOlLERR/+1t0rA0eHBdkmTYt7cpEipc7PPQQ7LEHfP/7ceLu5MlxIbaOHdOuLqcUGi2BGZx6auzBXHUVPPdchMmZZ2oCRJF8e+45OPDAaEYuLY2TdZ95Jk7ULQIKjZZkyy3jioCzZsF558XRR9++cUj87rtpVyfSuj37LAwdCgcfHPPH3XhjdHwPH97ih9E2hUKjJdp22zhJaObMONq46SbYeeeYAG3u3LSrE2ldJk6EIUPgkEPgzTfhuuvq/u+1olFRSSk0WrJevaITrrISvvMduPnmCI/TTouhfiKycWpqos/igAOiH3H6dPjd72D27DjKL+KLqSk0WoNevWLkRmUlnHMOjB0Le+0VF3N5/PHotBORDVu5Mv4v7bpr9Fm8/35MMjh7Npx7bjQRFzmFRmvSq1fsDc2bFx3m06bBkUdGp/ktt8SVwUTk8xYsgJ/9DHbYIXa8ttsO7r8/mqF+8AOFRRaFRmvUsWN0mM+ZE7NpmsW48R49Yu6bGTPSrlAkfWvXwpNPxhFFr14x59vBB8dJeS+8EBdHKilJu8qCo9Bozdq2hTPOiBEeEyZEc9Uf/hBnqQ4ZElOWrF6ddpUi+VVVBddcA2Vl8JWvxKio88+Po4qxY2M4bRGNhmqq4uv6L0ZmERJDhkQb7S23wF/+AiedFPNdnXoqnH467Lmn/rNI67RmDTzxBNx+e1zTYvXqOKq44oq4NMHmm6ddYYuhizAVq5qaODQfMyauILhmTZzdevrpESLbb592hSKbxj3O0r7jjrgWd1VV9FWcckpcEKmVzDqbC+u7CJNCQ2Dp0miquv12ePHFmDNn6NC4DsCIES36gjFShGbMiE7su+6KobKbbw7HHBND0Y84AjbbLO0KC55CQ5KbOTP2zO68M4YZlpREs9aJJ8a1Pjp3TrtCkc+bNi0uKfDAA3VXvzzooDhyPvHEmABUElNoSNO5xwy7DzwQe22VlXEEMnhwhMdXvxpXIxNJQ00NvPwyjBsXndfTp0d/3KBBMerpuONitKBsFIWGbBp3eP31CI8HH4S33or1/frFvDvDh8P++xfllAqSRx99FP1w48bFFfGWLIkj4UGD4mji2GOhe/e0q2wVFBrSvCoro/N83LiYl2fNmjg3ZOhQGDYsbvv21Ugs2TTV1TBpUgwXnzAhzp+oroZOneKk1eHDY8hsK5+KPA0KDcmd5cth/PgIkPHj66Zq79WrLkSGDIFu3dKtUwqfe/RN1IbExInx+TKLaccPPzyCYr/9dFSbYwoNyQ/36Eiv/U//r3/BBx/Ec/36RcfkgQfGstNOOhIpdmvWxMSa//lPLM89B4sWxXN9+9YdtR56aAyVlbxRaEg6amriS2H8+LhIzQsvRLs0QNeuMYPoAQdEiOy9t06wau2WLYvPwPPPR0i8/HLdfGg77hifg6FDY9lxx3RrLXIKDSkMa9fG9Qhq9yyffz4uKAXR3LDHHjBwYATIwIEx0aImimuZliyJE+teeaXu9p134rnS0piFuXaH4YADNNKpwCg0pHC9/36ER0VFfLlMnhwnG0KMjOnXL0Jkjz3iDN7+/WMmUjVtFYbVq6NJctq02CF47bX4G2Zfhrhv37qdgf32g332KerrUbQECg1pOdzjC6f+XmptWzfAF74QYdK/f3nibgkAAAySSURBVNz26xcXn+rdW2f75sqKFXFUOHNmhMO0abG8/XaMaIII8rKyuiPFgQPjiEIn1rU4LSo0zOwy4LtAVWbVT9390cxzFwNnAjXAD939ifX9LoVGK7J0ad0XVfaX1uLFda8pKYlRWzvvHEvfvnG7445xdNKpk45QGlNTAwsXwvz5MRPArFkxtLqyMu5nh7ZZDGSoPfKrDfDddlNzYivREkPjY3f/f/XW9wPuBvYFtgfGA7u4e01jv0uhUQSWLImTDet/yVVW1o3cqrXllhEePXvGbe39rl1jtt8uXeJ++/atJ1zWro0O6MWL44t/8eJoEpw3L5b58+N2wYIIjmw9e64bvrX3d91VzUut3PpCoyUNdh4B3OPunwHvmFklESAvpFuWpGq77WIo70EHff65ZcsiQObOXfcLct68GNG1cGF8qda3xRZ1AbLtttG8ss02cZt9f5ttoF27CKOttorb7Ptt2258+KxdC59+GqOLVq2Ky5Bm3378MXz4YYxG+/DDz9+vqoqAqKr6fBhAjFSrDc5DD103SPv0iUVHDdKAQg2N0WZ2OlABnO/uHwA9gBezXjM/s06kYZ06xbLPPg0/X10de92LF6+7J579eOnSCJ6PPoojlzVrmlZDScm6S2lp3X33+EKvXaqr6+43FGbr067dumHWuzd8+ct1R1DZS9euEbat5WhK8iqV0DCz8UBDpwhfAvwJ+F/AM7fXAt8GGvqEf65tzcxGAaMAevXq1UwVS6tUWhp72D17Jnu9e+z9Z+/Vr1xZt/effSSwalW8NjsU6geDWcNhUvu49siloSOZdu3WPfLRAADJk1RCw92HJXmdmf0VGJd5OB/YIevpnsCCBn73GGAMRJ/GplUqksWs7otbE+NJkSq4a4SbWfb/xmOBzOT4PAKMNLPNzawPUAa8nO/6RESKWSH2aVxjZgOIpqc5wPcA3H2amd0HvAlUA+esb+SUiIg0v4ILDXc/bT3PXQlcmcdyREQkS8E1T4mISOFSaIiISGIKDRERSUyhISIiiSk0REQkMYWGiIgkptAQEZHEFBoiIpKYQkNERBJTaIiISGIKDRERSUyhISIiiSk0REQkMYWGiIgkptAQEZHEFBoiIpKYQkNERBJTaIiISGIKDRERSUyhISIiiSk0REQkMYWGiIgkptAQEZHEFBoiIpKYQkNERBJTaIiISGIKDRERSUyhISIiiZWmXUA2M7sX2DXzsAPwobsPMLPewHRgRua5F939rPxXKCJS3AoqNNz9pNr7ZnYt8FHW07PcfUD+qxIRkVoFFRq1zMyArwND0q5FRETqFGqfxiBgkbvPzFrXx8xeNbOJZjYorcJERIpZ3o80zGw80K2Bpy5x94cz908G7s56biHQy92XmtlA4O9m1t/dlzfw+0cBowB69erVvMWLiBS5vIeGuw9b3/NmVgocBwzM+pnPgM8y9yeb2SxgF6Cigd8/BhgDUF5e7s1XuYiIFGLz1DDgLXefX7vCzDqbWUnm/k5AGTA7pfpERIpWIXaEj2TdpimAg4HLzawaqAHOcvdlea9MRKTIFVxouPs3G1j3IPBg/qsREZFshdg8JSIiBUqhISIiiSk0REQkMYWGiIgkptAQEZHEFBoiIpKYQkNERBJTaIiISGIKDRERSUyhISIiiSk0REQkMYWGiIgkptAQEZHEFBoiIpKYQkNERBJTaIiISGIKDRERSUyhISIiiSk0REQkMYWGiIgkptAQEZHEFBoiIpKYQkNERBJTaIiISGIKDRERSUyhISIiiSk0REQkMYWGiIgkptAQEZHEUgkNMzvRzKaZ2VozK6/33MVmVmlmM8zsK1nrj8isqzSzi/JftYiIpHWkMRU4Dng2e6WZ9QNGAv2BI4AbzKzEzEqAPwJHAv2AkzOvFRGRPCpN403dfTqAmdV/agRwj7t/BrxjZpXAvpnnKt19dubn7sm89s38VCwiIlB4fRo9gHlZj+dn1jW2/nPMbJSZVZhZRVVVVc4KFREpRjk70jCz8UC3Bp66xN0fbuzHGljnNBxu3tAvcPcxwBiA8vLyBl8jIiIbJ2eh4e7DNuLH5gM7ZD3uCSzI3G9svYiI5EmhNU89Aow0s83NrA9QBrwMTALKzKyPmbUlOssfSbFOEZGilEpHuJkdC/wB6Az808ymuPtX3H2amd1HdHBXA+e4e03mZ0YDTwAlwM3uPi2N2kVEipm5t95m//Lycq+oqEi7DBGRFsXMJrt7eUPPFVrzlIiIFDCFhoiIJKbQEBGRxBQaIiKSmEJDREQSU2iIiEhiCg0REUlMoSEiIokpNEREJLFWfUa4mVUBczfhV2wHLGmmcpqT6moa1dU0qqtpWmNdO7p754aeaNWhsanMrKKxU+nTpLqaRnU1jepqmmKrS81TIiKSmEJDREQSU2is35i0C2iE6moa1dU0qqtpiqou9WmIiEhiOtIQEZHEFBqAmZ1oZtPMbK2Zldd77mIzqzSzGWb2laz1R2TWVZrZRXmo8V4zm5JZ5pjZlMz63ma2Kuu5P+e6lnp1XWZm72W9/1FZzzW47fJU12/M7C0ze93MxppZh8z6VLdXpoa8fnbWU8cOZva0mU3PfP7Pzaxv9G+ax9rmmNkbmfevyKzrZGZPmdnMzG3HPNe0a9Y2mWJmy83svLS2l5ndbGaLzWxq1roGt5GF6zOfudfNbO+NfmN3L/oF2B3YFXgGKM9a3w94Ddgc6APMIi43W5K5vxPQNvOafnms91rg55n7vYGpKW67y4ALGljf4LbLY12HA6WZ+1cDVxfI9kr1s1Ovlu7A3pn7XwDezvzdGvyb5rm2OcB29dZdA1yUuX9R7d80xb/j+8COaW0v4GBg7+zPc2PbCDgKeAwwYD/gpY19Xx1pAO4+3d1nNPDUCOAed//M3d8BKoF9M0ulu89299XAPZnX5pyZGfB14O58vN8maGzb5YW7P+nu1ZmHLwI98/XeG5DaZ6c+d1/o7q9k7q8ApgM90qgloRHAbZn7twFfS7GWocAsd9+Uk4c3ibs/Cyyrt7qxbTQCuN3Di0AHM+u+Me+r0Fi/HsC8rMfzM+saW58Pg4BF7j4za10fM3vVzCaa2aA81ZFtdOaQ9+asJoM0t1F93yb2smqlub0Kabv8l5n1BvYCXsqsauhvmk8OPGlmk81sVGZdV3dfCBF4QJcU6qo1knV33NLeXrUa20bN9rkrmtAws/FmNrWBZX17edbAOl/P+nzUeDLrflgXAr3cfS/gx8BdZrb1ptbShLr+BPQFBmRqubb2xxr4Vc06VC/J9jKzS4Bq4M7Mqpxvrw2V3cC6VIcwmll74EHgPHdfTuN/03w60N33Bo4EzjGzg1OooUFm1hY4Brg/s6oQtteGNNvnrnQTC2kx3H3YRvzYfGCHrMc9gQWZ+42t32gbqtHMSoHjgIFZP/MZ8Fnm/mQzmwXsAlRsaj1J68qq76/AuMzD9W27vNRlZmcAw4GhnmnYzcf22oCcb5emMLPNiMC4090fAnD3RVnPZ/9N88bdF2RuF5vZWKJZb5GZdXf3hZmmlcX5rivjSOCV2u1UCNsrS2PbqNk+d0VzpLGRHgFGmtnmZtYHKANeBiYBZWbWJ7PXMTLz2lwbBrzl7vNrV5hZZzMrydzfKVPj7DzUUvv+2e2ixwK1Izka23b5qusI4ELgGHdfmbU+1e1Fep+dz8n0j90ETHf332atb+xvmq+62pnZF2rvE4MaphLb6YzMy84AHs5nXVnWOdpPe3vV09g2egQ4PTOKaj/go9pmrCZLY+RBoS3EH3o+sQe6CHgi67lLiNEuM4Ajs9YfRYw2mQVckqc6bwXOqrfueGAaMQrnFeDoPG+7O4A3gNczH8zuG9p2eaqrkmjDnZJZ/lwI2yutz04jdRxENFG8nrWdjlrf3zRPde2U+fu8lvlbXZJZvy0wAZiZue2UwjbbClgKbJO1LpXtRQTXQmBN5vvrzMa2EdE89cfMZ+4NskaJNnXRGeEiIpKYmqdERCQxhYaIiCSm0BARkcQUGiIikphCQ0REElNoiIhIYgoNERFJTKEhkkdmtk9mYrstMmc+TzOzPdKuSyQpndwnkmdmdgWwBbAlMN/df51ySSKJKTRE8iwz59Qk4FPgAHevSbkkkcTUPCWSf52A9sTV8rZIuRaRJtGRhkiemdkjxBX7+hCT241OuSSRxIrmehoihcDMTgeq3f2uzBTtz5vZEHf/V9q1iSShIw0REUlMfRoiIpKYQkNERBJTaIiISGIKDRERSUyhISIiiSk0REQkMYWGiIgkptAQEZHE/j+NXYXpr2z/JgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "a = 100\n", + "b = 50\n", + "\n", + "x = []\n", + "y = []\n", + "y2 = []\n", + "for i in range(-1000, 1000):\n", + " x.append(i)\n", + " y.append(np.sqrt(1 - i**2 / a**2) * b)\n", + " y2.append(-np.sqrt(1 - i**2 / a**2) * b)\n", + "\n", + "rcParams[\"figure.figsize\"] = 6, 6\n", + "plt.axis([-110, 110, -110, 110])\n", + "plt.plot(x, y, color=\"red\")\n", + "plt.plot(x, y2, color=\"red\")\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Гипербола" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in sqrt\n", + " if __name__ == '__main__':\n", + "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:10: RuntimeWarning: invalid value encountered in sqrt\n", + " # Remove the CWD from sys.path while we load stuff.\n" + ] + }, + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'y')" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "a = 9\n", + "b = 7\n", + "\n", + "x = []\n", + "y = []\n", + "y2 = []\n", + "for i in range(-1000, 1000):\n", + " x.append(i)\n", + " y.append(np.sqrt(i**2 / a**2 - 1) * b)\n", + " y2.append(-np.sqrt(i**2 / a**2 - 1) * b)\n", + "\n", + "rcParams[\"figure.figsize\"] = 6, 6\n", + "plt.axis([-50, 50, -50, 50])\n", + "plt.plot(x, y, color=\"red\")\n", + "plt.plot(x, y2, color=\"red\")\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Задание 5\n", + "1. Нарисуйте трехмерный график двух параллельных плоскостей.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [], + "source": [ + "from mpl_toolkits.mplot3d import Axes3D\n", + "from pylab import figure\n", + "from pylab import show" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = figure()\n", + "ax = Axes3D(fig)\n", + "A = -5\n", + "B = -6\n", + "C = 4\n", + "D = 2\n", + "\n", + "X = np.arange(-5, 5, 0.1)\n", + "Y = np.arange(-5, 5, 0.1)\n", + "X, Y = np.meshgrid(X, Y)\n", + "Z = (-A*X - B*Y - D)/C\n", + "\n", + "D2 = 40\n", + "Z2 = (-A*X - B*Y - D2)/C\n", + "\n", + "ax.plot_wireframe(X, Y, Z, color='yellow')\n", + "ax.plot_wireframe(X, Y, Z2, color='red')\n", + "\n", + "show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "2. Нарисуйте трехмерный график двух любых поверхностей второго порядка." + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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anglesincostan
0305.000000e-018.660254e-015.773503e-01
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\n", + "
" + ], + "text/plain": [ + " angle sin cos tan\n", + "0 30 5.000000e-01 8.660254e-01 5.773503e-01\n", + "1 45 7.071068e-01 7.071068e-01 1.000000e+00\n", + "2 60 8.660254e-01 5.000000e-01 1.732051e+00\n", + "3 90 1.000000e+00 6.123234e-17 1.633124e+16\n", + "4 180 1.224647e-16 -1.000000e+00 -1.224647e-16" + ] + }, + "execution_count": 139, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas as pd\n", + "angle = [np.pi/6, np.pi/4, np.pi/3, np.pi/2, np.pi]\n", + "s = []\n", + "c = []\n", + "t = []\n", + "a = ['30', '45', '60', '90', '180']\n", + "data = {'angle': a, 'sin': s, 'cos': c, 'tan': t}\n", + "\n", + "for i in angle:\n", + " data['sin'].append(np.sin(i))\n", + " data['cos'].append(np.cos(i))\n", + " data['tan'].append(np.tan(i))\n", + "\n", + "pd.DataFrame(data)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Задание 1\n", + "Нарисуйте график функции: y(x) = k∙cos(x – a) + b\n", + "для некоторых (2-3 различных) значений параметров k, a, b" + ] + }, + { + "cell_type": "code", + "execution_count": 160, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'y')" + ] + }, + "execution_count": 160, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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Plw82D9+M8iXLi5akOrXL1caWEVtwJ/cOuizsgoS0BNGSNENSZhK6/dkNKdkp2PT8JtQtX1e0JNXxLeH7jyfmmUXPCPPESANuBSOajsCPwT9iVdwqvLrhVS4u7+Tc6zbbPHyzLhNWikr76u2xasgqHL1xFL0X98ad3DuiJQnnatpVdPuzG/JN+dgyYguql60uWpLNaFyxMf56/i9cT7+Obn92k2WXAaTnpKPn//VEfHI81g1dh+ZVmouWZDOqeldF6IhQuLu6o9vCbkJ2J0kDbiVvtX0Ln3b4FLMPzMYnWz8RLUcoF1MuouvCrv+4zaqVqSZaks3p/nh3LHx2IWIuxmDwisHIzc8VLUkYyXeSEfxnMBIzEvHX83+hQYUGoiXZnDaPtcHaoWtx6uYp9Pq/XsjIyRAtSRjZednov7Q/9l3dh2WDluGpmk+JlmRz6vjWwZbhW5CZm4muC7vaPZwmDbiVpKcD3nsnwf/Gq5gaOxW1nv8WH3wAnHOyei+JGYnotrAbUrNTsXn4Zod0mxVEfj6Qsn0IGl/4BRtObYDfyy/ivfdN2LdPtDL7kpmbid6Le+Nk0kmsGboGraq1Ei3JLhABd453RuOTi7Hj0i5UfHMgXnolB7Gx/DdnId+Uj5FrRiL0XCjm9JmDPvX7iJZkF4iA1DNPosWJjTh74wpq/q8Hnh1qx8Tmwo4p0+LD1seJFpetW4lq1eJDWRs2yiP/dwcTjCDXlvOoZEmiadOI8u1/tLHdSclKoZazWpLX51607fw20XLsxq5dRE2b8vjXq0f0xCtfEIwgl57/ISgm+vRTolwnOFY+Jy+HeizqQYpRoaVHl4qWYzfOniVq04bH39+fqMkLs/n6H/wcQcmn4cOJMjNFq7Q9JpOJXln/CsEI+jb2W9Fy7Mbt20Tdu/P4+/gQtRmxgZQJruT/vy6Um6/ehQ95Hrj6/PEHf3t16xJFR/O/ZedlU7eF3ch1oiu1GLaGAKKRIx3biGfmZNJT854it0lutOHkBtFy7EZUFFHJkkTVqxMtX05kMvGN7L+b/kswgpq9bSSAqFMnx76J55vyadjKYQQjaOaemaLl2I1jx4iqVCEqV47o99+JcnL437+K+YpgBLU2vklQTNSiBdGVK2K12pr/bf0fwQj6OOxj0VLsxsWLRI0bE7m5EX33HVF6Ov/7Hwf+oK9iviKTyaRaX9KAq8y6dUSurkSdOxNlZNz/t7TsNGrzexvynOxJoyZEEkD03//yDd7RyM3PpT6L+5BiVGjR4UWi5diNmBiiUqWIGjYkunbt/r+ZTCYavWY0wQh6/qdppChEAwY45iTOZDLRGxvfIBhBX2z7QrQcu3HiBFH58kSVKxMdOfLg39/b/B7BCBo2y0ilShEFBDjuJO777d8TjKCX172sqtHSMrduEdWuTVSmDFFYmO37kwZcRQ4cIPLyImrViig1teDXJGUkUcPpDcl7ijcNeWs/AUQzZthXp63JN+XTyNUjCUbQ9F3TRcuxG9evE/n5sefl6tWCX5Obn0v9lvTjm/jUhQQQffCBfXXagwkREwhG0Lub33Wam/edOxw2qVCB6PTpgl9z7yTu5d9/JoBo+HDHm8T/ceAPghE0YOkAysvPEy3HLuTnE/XuzSvv7dvt06c04CqRk8MXb6VKRDduPPy1l1Iukf8P/uT3tR91fPYklShR+AWvN0wmE40LGUcwgiZFThItx26YTER9+hB5eha88rqXO7l36On5T5PrRFcKHreOAKKICLvItAvTdk4jGEGj14x2GuNNRPSf//Bdc8MjokW5+bnUd3FfghE0cOIiAohmOlCEYe2JteQ60ZW6LOhCWblZouXYjalTefynTbNfn9KAq8TEifyNrV5dtNefTDpJFb6uQI99W4NKV71MHTs6hit1YuREghH09l9vO9XNe84cHv/vvy/a61OzUqnVb63I63MvqtI2iurV4xWc3ll4aCHBCOq3pJ+qyTpaZ8sWHv+33y7a6+/k3vknP6TpgBDy8WEPjt6JjI8kz8me1Pr31pSWnSZajt04dYrIw4No4ED7elOkAVeB48eJ3N2JnnuueO/be2UveU/xpkqf1yOUvqr7WfhPO38iGEGjVo+ifJMDzEaKyK1bnLD01FPFm4QlZiRSw+kNqeTkMoQq++jTT20m0S6YV15Pz3+a7uQ6wGykiOTmEjVqRFSnDlFWMRacKVkp1GJWC/KaXIJca0XTqFE2k2gXdl7aSd5TvKnh9IaUmJEoWo5d6dWLqHTpwkNntkIacBXo35/I2/vRrvOCiL4QTaW+KEUl3m9AFWpe+ydjUW/8uudXghHUd3Ffp1p5EXEMW1GIDh4s/nvN4RTPz/zIrdJJio9XXZ5dWH9yPblPcqdWv7Wi1KxCEkAclFmz+G65cmXx33s9/TrV/7k+eUwoTfCPpm063Wm56/IuKvNlGao9rTZdSrkkWo5dCQnh8f/qK/v3LQ24lezezd/UxImWtxF1Poq8JpUkvP4Effql/vxoM3bPIBhBPRf1dKqYFxFvGfH0JBoxwvI2TiadpPJT/QjvVKfBr5xRT5ydMBvvgN8CKPlOsmg5diUlhahiRaIOHSx3nV5NvUp1p9Uj5ZPS1LR3tLoC7cCeK3uo7Jdlqfa02nTx9kXRcuxKXh7vOKlbt3jeF7V4mAGXldiKwKefAhUqAO+8Y3kbHWt0RMjwDXApH48vr3TB2YQk9QTamOm7p+ONkDfQu15vrBy8Ep5unqIl2RWjkSsuTZ5seRv1ytdD2Kgt8PLOxLLSHRB6IE41fbZmw6kN6L+0P5pWborQEaHw8fIRLcmu/PwzcOMG8N13gKJY1kYV7yqIGh0JP6+qONT4GUxfF6OuSBuy7+o+dF3YFb4lfBExKsKh69sXxOrVQFwcX/+eWrv1FWbZtfgQsQKPjubV93ffqdPer5vDCP/zogoTGupiJmuOefdd3Jey87JFy7E7ly7xlpFx49RpL/zIUcJ7lcnrMz86mGCBP97OrIlb47QrbyJOOqxYkeiZZ9Rp7+yNq+T6dj1y/awURcZHqtOoDdl+cTuVm1qOav5Yk84nnxctx+6YTEQtWvDqO0/QTjnIFbjlfP89UL488Oqr6rT3arfOaHfuL9zMuYJ2c9ojLlGbKzEiwoSICRi3aRz6NeiHZYOWOdSZ3kXl558Bk8k678u9BDVuhJF525CV7oWO8zph1+Vd6jRsA2btnYX+y/qjeZXmTrnyBoAFC3j1/f776rRX268KPqkSifxb1dFtYTBWHF+hTsM2YP3J9ei8oDMqlKyAiFERqOFTQ7QkuxMaCuzfD3z4IeDqKlpNARRm2bX4sPcKPD6eyMWF6GOVKwRu3UqEygeozKRK5PuVL+24tEPdDqwkOy+bRq0e9c8+35y8HNGShJCWRlS2LNGgQeq2Gx9PpJSLJ58Jtan0lNKaK0FrMpnos/DPCEZQj0U9nGqr0L3k5fHKKyBA3W1DaWlEPlWTyPf9dqQYFfpp50/qNa4Ss/fNJteJrtTqt1Z0I92CzF0HoVMnomrViLIFOh8hk9gs4913uWTqJZUTLk0mrqPboP0ZqjOtDpX8oqRmbuIpWSnUZUEXghFkjDA61T7vfzNtGl8hO3eq33bfvkS+Na5Q819bkGJU6JvYbzTxXefk5fxTRWzM2jFOt9vgXlav5vFftkz9tt97j8jFM5O6z+OKfe9veV8T2zJNJhNNjppMMIK6/9ndaSdvRERHj/L4f/21WB3SgFuAefU1ZIht2v/9d/72V26+Ri1m8U18avRUoTfx+OR4avJrE3Kb5EbzDswTpkML5Ofznt927WzTfmgoj//vf6TTwGUD//F2iMzwT8xI/GfyNiFigiYmFCIJDiZ67DHbnCh3+jSP/wRjHr2+4XWu2LZsoNDteRk5Gf8cTDNy9Uin9byZ+c9/uHBLouDt7tKAW4B536et6t1mZvKBCAMH8oUzZPmQfy5iEclCG09tpHJTy1HZL8vS5jOb7d6/1oiI4PH/80/btG8yETVoQNS6NdeVHx8+nmAEGeYY6HLKZdt0+hB2X97Ne9Une9Lc/XPt3r/WOH+e9/2PH2+7PoKD2T2bk2Oib2K/IZeJLtRwekOKS4yzXaeFcPrmaWo2sxkpRoU+j/pcE94AkWRk8AJu2DDRSqQBt4h27bjyki0XIW+9xTO8mzfZdfV1zNfkNsmNav5Yk2Ivxtqu43vIzMmkt/56i4/AnNmMztzU3x5lWzBiBF/AtjxF6uef+Qrcv5//f8mRJVTyi5Lk+5UvrY4rYr1eK8nLz6Mp26aQ2yQ38v/Bn/Zc2WOXfrXO+PFswM+ft10fa9bw+K9axf+/9dxW8vvaj0p8XoJ+2f2LXTwgJpOJ5h2YR6W+KEXlppajjac22rxPPTB3Lo9NVJRoJdKAF5sTJ/ib+eYb2/Zz4AA9cFLZjks7qOaPNUkxKjQuZJxNY1BR56OowfQGBCPozY1vUmaOg555WExu3yYqUYLo1Vdt28/Nm1ye95137v7bicQT1GJWC4IR9NyK5+ha2rXCG7CSQ9cOUbvZ7QhG0ODlg+lm5k2b9aUn8vLYdR4cbNt+cnO5n1697v7b1dSrFLwwmGAEdV3QlU7ftN0JSOeTz1OPRT0IRlCnPzrpYlurvWjblou3aCGKpFkDDsAHwAoAJwDEAWj3sNfby4B//DEnr9mj5m3Tpnw06b2kZqX+c85yte+q0dz9c1U9ri8+Of6fWFeNH2pQ6NlQ1dp2BGbO5Ctj927b99W/P+8zvjfOmp2XTRMiJpDHZA8qN7UcfRv7rap1x6+nX6dxIePIdaIrVfi6Av156E+nj3ffi7ls5ooVtu/rww+5zsC9JZpNJhPN2D2DvKd4k+dkT/rf1v+pGlZLzUolY4SRSn5Rkkp9UYq+3/690xwHWhTMC7hvvxWthNGyAZ8P4KW//9sDgM/DXm8PA56Xx3Gpnj1t3hUREf3wA4/C0aMP/i32Yiy1/r01wQhqOL0hzdk/x6okp7jEOBq7biy5TXIjz8me9Fn4Z5SRk2GFesekdWuiJ5+0z+zb7EbdWIDnMi4x7p/VWPXvq9MPO36glKwUi/u6cPsCfRj6IZX6ohS5THShsevGylV3AQwbRuTra5+tQ4cP8/j//PODf7uSeoWGrhhKMILKTS1HkyInWeWRScxIpC+2fUEVv6n4zzneF25fsEK9YzJhAodPrlwRrYTRpAEHUAZAPAClqO+xhwHfvJm/leXLbd4VEfHxgm5uRO+/X/DfTSYTLT26lJr82oRgBJX/qjy9tuE12npua5Fc3hduX6AZu2dQx3kdCUaQx2QPen3D6053GEFRMWcH2zp8YiY7m5MZH7bbIfxcOAXODSQYQd5TvGnEqhG07sS6ImUs30i/QfMOzKNe/9eLXCa6kMtEFxq8fLCQRCk9kJFBVKoU0dix9uuzSROiNm0K//u+q/uo56KeBCPIfZI7DVw2kP7v8P/Rrcxbj2w7+U4yLT+2nAYvH0xen3sRjKDghcG06/IuFT+B42Ay8d7/p58WreQuDzPgCv/d/iiK0gzAbwCOA2gKYB+At4goo7D3BAQE0N69e22q68UXgZUrufqSvere9u4NHD4MnD9feK1lIkLYuTDMPTgXa0+sxZ28O/Bw9UCzys3wuO/jqF6mOrzcvEBESMpMwsXUiziQcABX0q4AAOr61sWY5mMwuvloVCxV0T4fTIdMmQL873/AhQuAv799+vzPf4DffweuXwfKli38dXuv7sWve37FqhOrcDvrNlwUFzSp1AT1y9eHf1l/lHQvCQUKbt65iStpV3Dw2kGcSz4HAKhepjqef/J5vBrwqlNW1Coqy5YBQ4YAERFAp0726fObb4APPgBOnQLq1i38dSeTTuLXvb9iydEluJ5xHQBQv3x9NKnUBFW9q6KcVzkQCOk56biQcgFxiXE4nngcBELFUhUxsOFAvN7qdTSq2Mg+H0yH7N0LtGoFzJ4NjBkjWg2jKMo+Igoo8G8CDXgAgJ0ADES0S1GUaQBSieizf71uLICxAODv79/ywoULNtOUkwNUrgz06sUlFO3FggXAqFHAzp1AmzaPfn16Tjoiz0ci6nwU9iXsw7nkc7iadhW5plwAgG8JX1T1roqmlZoioJ7XjToAACAASURBVGoAnnn8GdQrXw+KpScxOBHNmgElSwLbt9uvzx07gPbtgYULgeHDH/36nPwcRJ6PRMzFGOy8vBPxt+NxKeUSsvOzAQBlPcuiincVNPJrhFZVW6FL7S5oUaWFHP8i8OyzwO7dwMWL9iudefkyTxbHj+eDcx6FiUzYeXknIuIjsOvKLpxIOoGE9ASk56QDAEq4lYB/WX/U8a2DttXaomONjjD4G+Dm4mbbD+IAvPMO8MsvPJn20UjlYK0a8MoAdhJRzb//vwOAj4ioZ2HvsfUK/K+/gB49gHXreFVsL27fBipW5JXYd99Z3o6JTCAiuLposWiv9jl5EmjQAPjxR+Ctt+zXr8nEN/BWrfjkI0shIhAILoo84sASUlL4Onz9deCHH+zbd6dOQFIScPSo5W2YyAQFipyoWUh+PlC9OtC2LbBqlWg1d3mYARd2pRPRNQCXFEWp//c/dQa704WxfDlQpgzQrZt9+/XxAYKDgRUr+NhKS3FRXKTxtoKlSzmEMWiQfft1cQEGDOAJZFqa5e0oiiKNtxWsWcNeuOees3/f/fsDx47xJNJSXBQXabytYMcOICEBGDxYtJKiI/pq/w+ARYqiHAbQDMAUUUJycvgC7ttXzJmvgwax2273bvv3LWGWLQM6dACqVrV/3wMHAtnZQEiI/fuWMKtW3fWE2Jtnn+VnazwwEutYvRrw8GAvrF4QasCJ6CARBRBREyLqR0TJorRs3QokJ9t/9WWmTx/A3Z2NiMT+nDrFK6CBA8X03749UKkSe2Ek9icjA9iyBejXr/BEUltSvTrQujUn0ErsDxEb8C5d2AurF0SvwDXDmjVA6dL2d5+b8fEBunZlHYLSEpyadev4uU8fMf27urIbNSQEyMwUo8GZ2bIFyMpiAy6K/v05C/riRXEanJXDh4H4+LueEL0gDTg4iWjDBo5Di3Cfm+ndGzh3DoiLE6fBWVm7ljPQawjcYdW/PxvvsDBxGpyVtWuBcuU4hCKK/v35WbrR7c/q1ZyLImoCbynSgAPYvx+4elX84PXqxc/r14vV4WwkJvK2MdHj37Eju+82bBCrw9nIy+NrrlcvwE3gTqu6dYHGjdkLJ7Evq1cDBgPvQtAT0oCDL14XF/HJC489BrRoIQ24vdm4kb0wffuK1eHhwV6gDRtYj8Q+xMQAt26JdZ+b6dWL9aSkiFbiPJw/zy50LYx/cZEGHGww27cHKlQQrYTd6Nu386pQYh/WrQOqVQOaNxethG/gCQnAgQOilTgP69Zx6ExU/su99OzJHoEtW0QrcR7MOz/MHlA94fQG/NIlvlnas3DLw+jdm5PY5HYi+5CVBWzezO5zLWyhfeYZ1iHd6PYjJIQLqZQuLVoJFxEpV469QhL7EBIC1Knz8DK2WsXpDbj5RqkVA96iBe9Dlm50+xAdzYljPQut/2df/Pz4Ji4NuH2Ij+fiKc88I1oJ4+YGdO/ORkWGUWzPnTtAeDhf/1qYwBcXpzfgmzYBtWpxCU0toCgciw8NBXJzRatxfDZt4tizvQ6uKAq9e/N2ooQE0Uocn7/+4metGHCAXbmJicCePaKVOD5RUWzERec/WYpTG/CcHJ59BQdra/YVHAykpgK7dolW4vhs2gQ89RRQqpRoJXcx30w2bxarwxnQovu0e3dOqpVudNuzcSNQogTfA/SIUxvw7duB9HS+YLREly5c2EPewG3LxYvA8ePaG/8mTbgqmxx/25KVxRN4c96BVvD15TCK2TsgsQ3mXKPOnQEvL9FqLMOpDfimTRxzCgoSreR+fHz4WNFNm0QrcWzM36/WDLiicEZ0aKiMg9qSbdvYfaol97mZ4GBg3z7g5k3RShyXM2e4cJZe3eeAkxvwzZt5874Wa992784XcFKSaCWOy6ZNfHhFw4ailTxIcDDfvPfvF63Ecdm0ibePaSn/wUzXrrxC3LpVtBLHxbxVTwvbBy3FaQ34tWvAwYN8o9QiwcF8AYeGilbimOTmcsnS7t215T4107UrP8v9wLYjNJSr35UsKVrJg7RqBZQtK8ffloSGcgJznTqilViO0xpw84WhVQPesiVQvrx0o9uK3bv57G2tzr4rVuTCMjIObhsSEoCjRznfRIu4uXFsdssWebiRLcjLAyIi7k6U9YrTGvDERKB2bT7AQou4uvLNJSxMXsC2ICyMV95ay3+4l+BgTrRMTRWtxPEwu6a1asABnlxeusT71CXqsns3X1fSgOuUd98FTp/m7RpaJSiID1k5fVq0EscjLIy9HL6+opUUTrduvFKIihKtxPEIC2MPl1Yn8MBd75B0o6tPaChP4J9+WrQS69Cw+bI9WjbewN3VYUSEWB2ORno6sHOntldfANCuHSdZRUaKVuJYmHNLOnfW9j3AHJ+VeTDqExoKBARoewJfFDT885XUrcuHbISHi1biWGzbxivbzp1FK3k4Xl58yI6cwKnLiRPs2dL6BA7g36j59ypRh9RUnsDr3X0OSAOuacwx2shIGQdXk7AwXtkaDKKVPJpOnXi3xK1bopU4DmFh/KyHG3inTmxwDh4UrcRxiIkB8vO1P4EvCtKAa5ygIODGDa4YJlGHrVuBwEAuoah1goJ48rZtm2gljsPWreyerllTtJJHY96jLsMo6hEZyecftGsnWon1SAOuccxJFtKNrg43bgCHD+tn9t26NU805A1cHUwmPoFOy7sP7qVKFaB+fTn+ahIVxZUu9TCBfxTSgGucmjX5IeOg6mBeyWqx+lZBeHrKOLiaHD3K4Qg9HV7RqZOMg6tFaipXuNTL9f8opAHXAeY4uKyLbT1RUVx5KyBAtJKiExTEXgNZVtd6zCtZvRnwtDTgwAHRSvRPbCzHv6UBl9iNp58GkpOBQ4dEK9E/27bxitbdXbSSomN298r94NYTFQXUqMEPvSDj4Ophjn+3bStaiTpIA64D5H5wdbh1CzhyRF+rL4DrYpcsKW/g1mIy8QROb6uvypWBBg3k+KtBZCTnlWix/r0lSAOuA6pV4z3h0oBbR3Q0Z3TrzYC7u3PWvBx/6zh+nMMQeht/gCcd0dEyDm4NaWmOFf8GpAHXDUFBMpHFWqKiuDhK69ailRSfoCDg2DHOopdYhjkEoVcDnpYmj5e1BkeLfwPSgOuGp5/mDEp5AVtOVBTHvjw9RSspPuYwinSjWk5UFFC9Ou8B1xsyDm49kZHszXKE/d9mpAHXCeYLWLpRLSMlhatZdewoWolltGwJlC4tb+CWQsQG/KmntHn++6OoVAlo2FCOvzU4WvwbkAZcN1SqBDzxhCzoYikxMZzEpEf3KcDnQ3foICdwlnLiBIcf9Dr+gIyDW0N6OrB3r2O5zwFpwHVFp058PrS8gItPVBS7z/S8fSQoiA1RQoJoJfrDHP/W8w08KIgN0b59opXoD0eMfwPSgOuKDh34Apb7wYvPtm36d5/J/eCWExUFVK3Kx3PqFbP3QLrRi48jxr8BacB1RWAgP0dHi9WhN8zuMz27TwGgWTOgVCkOB0iKDhHfwPUa/zZTsSKH0WQYpfhERnI9hVKlRCtRF2nAdcRjj3FddHkDLx7bt7P7TO8G3M2NVxBy/IvH6dPAtWv6H3+AP4P59ywpGunpwJ49juc+B6QB1x2BgXwDl+eDF52oKMDV1THcZ4GBXBc9JUW0Ev3gCPFvM4GBvB/8yBHRSvTDjh084dHrDpSHIQ24zujQAbh+HThzRrQS/RAVxduwvL1FK7GeDh148rZjh2gl+iEqindx1KsnWon1mMNo0gtTdGJjARcXx5jA/xvhBlxRFFdFUQ4oirJBtBY9IC/g4pGZCeze7RjuU4DPMXZ1leNfHGJieOKj5/i3GX9/DqXJ8S86sbHAk08CZcqIVqI+wg04gLcAxIkWoRcaNgTKl5eJbEVl924gN9dx3GelSgEtWsgbeFG5cgW4cIFPoHMUZBit6OTnAzt3AgaDaCW2QagBVxTlMQA9AcwWqUNPKAr/GOUNvGjExvKzo93Ad+0CsrNFK9E+27fzsyPdwAMDeWJy8aJoJdrnyBFOYnOk8b8X0SvwHwF8AMAkWIeu6NDhbmat5OFs385eC19f0UrUIzAQyMqSdfGLQmwsUKIE0Ly5aCXqIcNoRcc8gZcGXGUURekF4AYRPbSukKIoYxVF2asoyt7ExEQ7qdM25gvY/OOUFIzJxAbc0S5e8+eRN/BHExvLBXzc3UUrUY/GjTmeK8f/0cTG8nHM/v6ildgGkStwA4A+iqKcB7AEwNOKovz57xcR0W9EFEBEAX5+fvbWqElatOBVhbyAH05cHHD7tuMZcHNGtRz/h5ORARw44Hjjb94SKcf/0cTGcvjMERIYC0KYASeij4noMSKqCWAogHAiGi5Kj57w8OBsZJnI9nAc2X0WGMifzySDT4WyezcnMTlS/oOZwEDg6FEgOVm0Eu1y+TLnCTji9W9GdAxcYiGBgby6SEsTrUS7xMYCfn7A44+LVqI+gYHAzZvAyZOilWgXcwKbI+7/NYfRzJ9R8iCOPIE3owkDTkSRRNRLtA490aEDr7527hStRLs4svtM1sV/NLGxXDvckRIYzbRuzaV1ZR5M4WzfzocXNW0qWont0IQBlxSftm25upCMgxXM9evA2bOOO/t+/HE+3EKOf8GYTFytzlHHv2RJri4ox79wYmM51OhICYz/RhpwnVKmDM8s5QqsYBxx/++9KMrdgh6SBzl+3DETGO8lMJDj/LIewIOkpwMHDzr2+APSgOuaDh3YhZ6bK1qJ9oiNBTw9eZXiqAQGAvHxXNRDcj/OEP80GNh473voRlznxJzA6MjjD0gDrmsMBuDOHZ5pSu4nNhYICGAj7qh06MDPchX+IOYExjp1RCuxHbIeQOHExrKXqm1b0UpsizTgOsa8PUYmstzPnTu8KnH02XezZhwLleP/IOYCPo6YwGimYkVZD6AwYmOBRo0AHx/RSmyLNOA65rHHuMKQ3EpyP3v3cljB0Q24mxsn6UgDfj+OnsB4L+Z6APJgk7vk5zt2AuO9SAOucwwGeQH/G0c8wKQwDAbg0CFO2pEwzhD/NtO+PXDrlqwHcC/HjgGpqc4x/tKA6xyDAbh6lY9MlDDbtwP16wMVKohWYnsMBl5x7NolWol2MCcwtmghWontMRsp6YW7i6PvQLkXacB1jvlHKt2oDBFfwM6w+ga4ypiiyPG/F2dIYDRTvz4XqpHjf5fYWKByZaBWLdFKbI804DrnyScBb295AZs5eZJLjDrD7BsAypbl06nk+DN37vAxq84y/orCk1U5/neJjXX8BEYz0oDrHFdX3iohL2DGmeKfZgwGTtrJzxetRDzOksB4LwYDT1yTkkQrEU9CAtdGcBYPnDTgDoDBABw5AqSkiFYinthYoHx5di06CwYDH2pz9KhoJeJxpgRGM+bPumOHWB1awNkm8NKAOwAGA8d+5cEmjn2ASWHIPIi7xMY6TwKjmVatuN63HH/+Dry8gObNRSuxD9KAOwBt2vDBJs5+AScmAqdOOc/s20zNmkCVKnL8TSbnSmA0U6IEZ9zLTHS+Blq3Bjw8RCuxD9KAOwDe3nywibNfwGYXorMZcJnIxJw6xXuinW38AR7/PXuAnBzRSsSRmQkcOOBc4y8NuIPQvj270PPyRCsRR2wsuxIDAkQrsT8GA9cCcOaDTZwt/nkvBgOQlcUGzFnZs4fvf840/tKAOwgGA5CRARw+LFqJOGJj+fQxLy/RSuyPjIM7ZwKjGXkuwt3P3q6dWB32RBpwB8HZb+DZ2byFyJlm3/fSvDnHQp11/AHnTGA0U6UKFy5x9vFv2JAL2zgL0oA7CP7+fLiJs17A+/axEXdWA+7uzsk7zjr+zprAeC8GA+fBOOO5COYERmcbf2nAHQjzwSbOiDPu//03BgOfDe+MB5uYExidefzbtweuXeNCJs5GXBxw+7Y04BIdYzAAly8DFy+KVmJ/YmOBxx8HKlUSrUQc5oNNdu8WrcT+OHMCoxlnPtjEWRMYpQF3IJw1Dm4+wMTZLt5/Y07ecbbxB+4mMJYoIVqJOBo1AsqUcd7x9/PjSbwzIQ24A9GkCVCqlPNdwKdPcwzU2Q14uXJ8E3e28Xf2BEYzznwugjMdYHIv0oA7EG5ufAE7mwvNWd1nBeGMB5s4ewLjvRgMXBPfmc5FuH4dOHvWOfMfpAF3MAwG4NAhPtzCWYiN5dVngwailYjHYABSU4Fjx0QrsR/mCasz3sD/jTOei2Aef2ecwEkD7mAYDLylYtcu0UrsR0wMf24X+Wt2ykSm2FigTh3nTmA007o1XwfONv6enpwD4WzIW56D0aYNx4GcJQ6WlMRnITvj7LsgatdmQ+Ys4090N/4puXsugrOMP8CfNSCAjbiz8UgDrijKm4qilLOHGIn1lC0LPPmk81zAzuw+KwhFca56AGfOyATGf+NM5yLcucM5EM46/kVZgVcGsEdRlGWKonRXFGfL89MfBgNfwM6QyCT3/z6IwcDFPBISRCuxPTKB8UHM5yIcOSJaie3ZuxfIzXXe8X+kASeiTwHUBTAHwAsATiuKMkVRlDo21iaxEIOBk9ic4QKW+38fxJnqAcTGAj4+XANbwjjb+APOm8BYpBg4ERGAa38/8gCUA7BCUZSvbahNYiHOcgHL/b8F07w5n8jm6OMPcAilXTuZwHgv1asD1ao5RyLb9u1AvXpAhQqilYihKDHwcYqi7APwNYBYAE8S0WsAWgIYYGN9EguoUQOoWtXxb+By/2/BeHg4x8Emt24Bx4/L8f83zpIHISswFm0FXgFAfyIKJqLlRJQLAERkAtDLpuokFuEsF7Czu88ehsEAHDgAZGaKVmI7zAeYOPMNvDDat+czES5fFq3Edpw8Cdy86dzjX5QY+HgiulDI3+LUlyRRA4PB8S9geYBJ4RgMnIXsyAebxMZy9cHWrUUr0R7OUA9AJjDKfeAOi6NfwHL/78NxhoNNYmM53l+ypGgl2qNpU/5eHHn8Y2I49l2/vmgl4pAG3EFx9Av41Cku4iINeMH4+gJPPOG445+Tw94FOf4F4+7OnglHncADQHQ0EBjofAeY3IswA64oSnVFUSIURYlTFOWYoihvidLiiLi7c1U2R72BS/fZozEfbGIyiVaiPvv2AVlZQIcOopVoF3MeREaGaCXqk5DAB5gEBopWIhaRK/A8AO8SUUMAbQG8oSjKEwL1OBzt2wMHDwLp6aKVqI88wOTRGAzA7ducqe1oREfzs5zAFY7BwMWcHDEPIiaGn519AifMgBNRAhHt//u/0wDEAagmSo8j4sgXsDn+Lff/Fo4j1wOIjub9vzKBsXDatuVnR3Sjx8RwiLB5c9FKxKKJ25+iKDUBNAfgRGdo2Z527RzzYBN5gEnRqFMHqFjR8cbfZOLP5Oyrr0dRrhzQqJHjjT/AE7i2bTlU6MwIN+CKopQGsBLA20SUWsDfxyqKsldRlL2JiYn2F6hjfHwc8wKWB5gUDUetB3D8OJCcLA14UWjf3vHyIFJTgUOHZPwbEGzAFUVxBxvvRUS0qqDXENFvRBRARAF+fn72FegAmBOZHOlgE3mASdExGIBz54Br10QrUQ9z/Fsa8EcTGMh5EMeOiVaiHuYJiRx/sVnoCviAlDgi+l6UDkfHYOAZqyMlMskDTIqOI8bBo6OBKlWAWrVEK9E+Tz3Fz1FRYnWoSUwM4Op6N8bvzIhcgRsAjADwtKIoB/9+9BCoxyFxtBu4PMCkeLRo4VgHmxCxAe/Qwbn3/xaVGjUAf39g2zbRStQjOpqT10qXFq1EPCKz0GOISCGiJkTU7O9HiCg9jkqtWkDlyo5zA5cHmBQPDw+gVSvHGf8LF7g8sHSfFp2OHdmAE4lWYj05OcCuXXL8zQhPYpPYFkdLZJL7f4tP+/bA/v2OcbCJ3P9bfDp2BK5fB06fFq3EeswFfGQCGyMNuBNgMADx8cDVq6KVWE9kJNCwIW+PkhQN88Eme/aIVmI90dFA2bJA48aileiHjh352RHi4OYJnDTgjDTgToD5AtZ7HCwvjy/gTp1EK9EX5uNWHcELEx3Nn8fVVbQS/WAueKP36x+4W8BHTuAZacCdgGbNgDJlePWqZ/bv57Kw5sxaSdEoX54PNtH7DTwpCYiLk+7z4qIod+PgekYW8HkQacCdAFdXvoD1bsDNLkBpwItPp07svcjNFa3EcmT823I6dgQuXgTOnxetxHLi4oBbt6T7/F6kAXcSOnXi8qMJCaKVWE5kJJ/9W7myaCX6IyiIT6Xau1e0EsuJiQE8PTmrXlI8HCGMJgv4PIg04E6COW6s10QWGf+2DrPXQs9emOhoNt6enqKV6I/Gjbk2up4NeGQkULUqULu2aCXaQRpwJ0HvcfCDB7minHSfW4afH9/EIyJEK7GMtDTeQmReSUqKh4sLr1z1asCJ+Lf79NOygM+9SAPuJOg9Di7j39bTqRMnAeXkiFZSfKKjuZ7/00+LVqJfOnbkveB6DKMdPw7cuCHH/99IA+5E6DkOHhkJ1K3LLjSJZQQFcTEXPe4HDw/nqnLmLXGS4qPnOHh4OD8HBYnVoTWkAXci9BoHz8/nFZiMf1uH+QauRy9MeDgbb3mAjeWY64fr0YBHRHBZ6Jo1RSvRFtKAOxF6jYMfOgSkpEj3ubVUqAA0aaK/OPjNm5wDId2n1uHmxlX59DiBj4yU418Q0oA7EXqNg8v4t3p06gRs384HwuiFqChOYpI3cOvp2JHPBk9KEq2k6Bw6BCQnS/d5QUgD7mToMQ4eGQnUqQM89phoJfonKAi4cwfYvVu0kqKzdStQqhTQurVoJfrHHIbS0yTe7DGSBvxBpAF3MvQWBzeZZPxbTTp25G04erqBh4ezbnd30Ur0T6tWHAffulW0kqITHs4FnGQC64NIA+5k6C0Ofvgwu8+k+1wdfH2Bpk31Ewe/ehU4cUK6z9XC3Z0nQ3ox4Lm5nHQnx79gpAEvjPx84MoV3nx4545oNaqhtzi4WafdDTgRcO0axxr0FDAuAp06ATt28LnKWsc80bD7DZyIMycvXNDHF1UMOnfm/eCXLolW8mj27eMDjOzuPifiji9e5ApSGkUa8Hu5cQP4+mugTRvA25uDrpUqcQCuRQvggw+As2dFq7QaPcXBw8KAxx8H/P3t0FlyMjBzJs9wypQBqlRhv52XF59h+Pbb+txE/S+Cgtgm7dolWsmjCQ/nEqBNm9qhs4wMYP58oHdvPnTcx4f3LZUoAVSrBowdy0tXIjuIsR2dO/OzeW+1ljFrtEsILT8fWL4cGDaMt2x4ewM1avBvoUoVYMgQYMMGTZ0IpJCOfowBAQG01xanMaSlARMmANOn8+C0bQu0a8c37fx8NuzbtnEZq/x8YPBgNvTVq6uvxQ7s3w+0bAksXAgMHy5aTeHk5LDLd+RI4JdfbNhRdjYwbRoweTLPuhs14iVf3brsc0xK4tTtiAi2fD17AlOm8J4sHZKczEeMTpjADy1TqxbvX161yoad5OUB8+bxl5GQwLPFnj05c7JsWfbEHDkCbNzIRr59e77+DQYbirIdJhOvS3r04PmKlunalW+/hw7ZsBMiNtzjx/PKpmJF4Jln+D5QrhzvYzx+nMf/5k0OyP/wA7/GDiiKso+IAgrRTrp5tGzZklQnNJSoWjUiRSF66SWi48cLf+3Vq0Tvv09UsiRR2bJE8+cTmUzqa7Ix+flEFSoQjRghWsnD2baNCCBatcqGnRw+TFSvHnfUpw/Rvn2Fj2lqKtEXXxCVK0fk7k703Xf8ZeqQFi2IOnQQreLhnD3LwzJ9ug07uXSJyGDgjtq1I4qIKHz8MzOJfvuNqEoVfv1//0uUk2NDcbZj0CC+7Wn59pWVReTlRfTWWzbs5NYtooEDeTwbNyZaubLwazo7m2jFirv3i0GD+J5gYwDspUJsonCjXJyHqgbcZCKaNo3I1ZXoiSeIduwo+nvPnCEKDOSv7/XXifLy1NNlJ4YO5fuQli/gzz4jcnEhSk62UQdLlvBkrHJlok2biv6+pCSifv14/Hv3JsrIsJFA2/HRR0RubkQpKaKVFM7vv/NX/LA5tVWEhxOVL09UujTRwoVFvxjS04neeIPFtW1LdO2ajQTajpkzWX5cnGglhRMZyRrXrrVRB8eOEfn784Xw1VdFv49nZ/NE3tWVqEEDohMnbCSQkQa8ID77jD9+376WzaLy8ng1DhA9+yzRnTvqabMDc+ey9CNHRCspnLZtidq0sVHjv/zCX4DBwJ6V4mIyEf30E3tuDAYbzjJsQ3i4jW+OKvDcczy3sskkc8MGIk9PnrxbegNeupQngPXq8UpeR5w7x+M/bZpoJYUzfrwNJ/C7dhH5+vIPbPduy9oIDyfy82N35qFD6uq7B2nAC+LwYaIJE6x3gf74I9/E+/Qhys1VRZo9uHSJR/+770QrKZjbt/ni/fRTGzQ+ffrd1XNWlnVtLV/O7vQWLbS9nP0XWVlse954Q7SSgjGZiCpVIho2zAaNr17Nq66AAPamWENMDFGZMkQ1axJduKCOPjtRty5Rjx6iVRRO27ZErVvboOFdu4hKlSKqXZvjNNZw+jTRY4+xJ+fAAXX0/QtpwG3Nzz/zV/nCC9r2Sf+LBg2IuncXraJgVq/mrzQqSuWGlyy563nJzlanzY0b2Z3WpYt6bdqBHj2IHn9ctIqCOXiQh2nOHJUbjo3llXfbtjxLVIM9e9iIN26sXpt24M03eRJn7RzWFiQl8QR+wgSVGz51ilfMtWoRXbmiTptnzhBVr05UsSLR+fPqtHkPDzPgchuZGrz5JmA0An/8AUyaJFpNkenWjSuyaXGb65YtvHuvbVsVG921C3jhBSAwEFi6lM+nVIMePYDZs3nP28sv62abUXAwcOYMcO6caCUPsmkTP3fvrmKjZ84Affrw7pH16znDXA0CAjhN/sQJYMAA3Ry4HhzMx8vGxIhW8iBhYZwtr+r4JyXdbXDTtEs3eAAAIABJREFUJvVKu9Wpwzes7GygVy/77hsvzLJr8aHZFTgRr7xHjGB3+saNotUUiQ0beJUTGipayf2YTEQ1avAiWTWuXGGfbO3aRImJKjZ8D0Yjf6EzZtimfZWJi2O5M2eKVvIgTz1F1LSpig1mZBA1asSuzlOnVGz4Hv74g7/Qd96xTfsqk5bG0Z/33xet5EFGj+bNHqrlB+fnEwUHE3l4FC9huTiEhrIn7plnVE1shnSh24mMDKJmzYh8fKyPrdiB9HT2JmrtfnPsGP8yZ81SqcG8PKKgIPYXHj2qUqMFkJ9P1LMn3xV37bJdPyphMrHn79lnRSu5n5QUDlF/9JGKjb74Ik+uN29WsdECGDeOf7xr1ti2H5UICiJq0kS0ivsxmXiHzODBKjY6aZJ9ZqszZ3JfKoZSpQG3J+fOsQFv314X28uCg4nq1xet4n6+/ZZ/mRcvqtTg5Mnc4Ny5KjX4EG7eZPdBjRq6SGobO5Z3UWkpDrpyJamb/7BgATdok4zIf5GVxclxPj5E8fG2789Kpk7lr0atcLAaHDqk8uUaFcWTtxEjdJWjZOZhBlzGwNWmVi1gxgyu3PX116LVPJKePbn4kJYqxIaEAE8+qVKhu927ucLWsGEc/7Y1vr7A4sVcaPrdd23fn5X06sXF56KjRSu5y19/cSXbdu1UaOzSJc5R6dDBPmXnPD05vyI/H3jxRQ7kahhzMbGQELE67mXzZn4ODlahsfR0vu5r1+ZyjoqiQqPaQRpwW/Dcc1xudfx44MAB0WoeSs+e/Lxxo1gdZlJT2Zj06KFCY9nZfBOtWtW+F2+7dlw3f/Zsbd0ZC6BzZy71vmGDaCUMEecXdemiwvGhRFy/PC+PE0zd3NSQ+Ghq1wa++45L786aZZ8+LeTJJ7ly7Pr1opXcZcMGrn2vSo7Z++8D58/z+JcurUKD2kIacFugKMCvv3JB/Jdf5tm4Rqldm0v7asWAb93K5ehVKTP8xRfAsWN8E1Ur47ioGI1A48Y8/ho+zahkSS77vn69NpLnDx8GLl9WaQL3xx88G/jqK/6h25OXXuJC3u+/D8TH27fvYqAofHZLWJg2Dl28eZOz4vv0UaGx8HA+nOjdd3nniQMiDbit8PUFfvyRz8ObMUO0mofSsycf25mRIVoJz77LluXzIqzi6FHgyy+BESNUsgbFxNMTmDuXD8cYP97+/ReDXr14K9nJk6KVAGvXslHp1cvKhhIT+cbdsSPw+uuqaCsWisIeGEUB/vMfbcyOCqF3b95OpoUz4kNCOOpgtQHPzgZee40nbjra2ltcpAG3JYMH877DTz/ls8U1Ss+evHU1NFSsjvx8YN061mOV+5SI455lygDff6+avmLTqhXw6qvAzz9rOpSipTDK2rW8979SJSsb+ugjPmXw118BF0G3OX9/jrtv3Mg/bI3SqRN7l7XgRl+3jk/ubNHCyoa++QY4dYoXTyVKqKJNkxSW3abFhy6y0P/N2bN8pM7QoaKVFEpODu+5HDlSrA7z6WPLllnZ0P/9n322jBSF5GSu0NSmjaZPLnvySaKOHcVquHiRh23qVCsb2r6dG9LCBuecHN5/XqOGpg+96d+fK4KKTNLOyuIdEWPHWtnQuXN8zx00SBVdooHMQhdI7dqc0LRkCWemaxB3d3ajrVsn9qz61au5OJpV1ZfS0oD33uMp/EsvqabNYnx8gG+/5SpwixaJVlMo/fpx7PHGDXEazIvUvn2taMRkYu9LtWraCF24u3MC5YULHIvXKL16ce6BSEdRZCQnjVvtPv/gA/a6/PCDGrI0jTTg9uCDD/iG8tZbmt1W0r8/cPs2l1YVARGwZg1nH3t7W9HQN98AV68C06cDrq6q6bOK55/ncpsff8zBRg0yYAD/NNesEadh7VqgXj2gQQMrGvnzT2D/fjaWWsk67tiRw2nffKPZUFrv3ny5rFwpTsPatXeTKi0mOhpYsQL48EO+5zo6hS3N7fEA0B3ASQBnAHz0qNfr0oVuZuFCduvNny9aSYFkZnKhstdeE9O/+fCK33+3opHLl4lKlFC5hJNKmOMDEyeKVlIgJhMfbNKtm5j+k5NVKOuZkUFUrRoXUtFauOLcOS7j+cILopUUSpcufEKZCDd6Xh5XOh4wwIpG8vN57B97TNPhiuICLbrQFUVxBTADwDMAngDwnKIoT4jSY3OGDQNatuSkFg0edlCiBG/dWr1ajJNg9eq7W1osZvx43vP75Zeq6VKNDh2AgQN5ZXj9umg1D6AovAoPDweSk+3f/9q1HL4ZMMCKRr7/nle4338vLnGtMGrVAsaNA+bPBw4eFK2mQAYNAk6fBo4csX/f0dF8WQwZYkUjS5YAe/cCU6bwUt4JEPkrbw3gDBGdI6IcAEsAWBP90jYuLrwv+fx53l6iQfr3B65dA3bssG+/RHztdehgRfbx0aO87/fNN+2/57eofPEFb2+ZOlW0kgIZMIDnPyISppcsAWrWBFq3trCBmze58mG/fvxD0iL/+x9Qrhw/a5B+/fg2tXy5/ftetoxtrsU7PvPyuPZCkyYcsnISRBrwagAu3fP/l//+N8elWze+uXz+uSZjob16cVWuJUvs2+/Bg7wHedgwKxoxGvn8UY3eHAFwgHfUKN7apMFYaEAA73xascK+/SYl8RbGoUOtKJb33XecATV5sqraVMXHhwu7hIQAO3eKVvMAFSvylrLly+27bT0vj2PvvXrxJWwRCxey+2DSJO15X2yIyE9a0KX6wM9GUZSxiqLsVRRlb2Jioh1k2RBF4VVYQgJnpmqMMmXYhb10qX2z0Rcv5iqXAwda2MChQ3wHePttoHx5VbWpzmefcYziiy9EK3kARWE36ubNvKC1F6tWcQ2AoUMtbCAxEfjpJ/a/Nm6sqjbVefNNwM9PGxnyBTBwIE+mjx61X5/btvHuh8GDLWwgJweYOJFnoKqUcNMPIg34ZQD3HlfxGICr/34REf1GRAFEFODn52c3cTajQweu0j91qiZLbD7/PN8Pw8Ls05/JxCv+4GArbO/EiVy+7Z13VNVmE2rW5O1ts2drssTmiBE8eVu61H59LlnCmedNmljYwNdfcx1QexxWYi2lS3OGdGiotk6Q+ZsBA3gy/eef9utz6VJeeVtcPnnOHN6m9/nnDndYySMpLLvN1g8AbgDOAagFwAPAIQCNHvYeXWeh38uePZrNSM7O5qIuzz9vn/7Mydl//mlhA/v3cwNGo6q6bMrly3wQ++jRopUUyJNPErVta5++rlzhkx4nTLCwgYQE3nkwYoSasmxLRgZR5cpEnTqJVlIgvXsTVa1qn9OQMzOJypYlGj7cigaqViUyGHR5VGhRgBaz0IkoD8CbADYDiAOwjIiOidJjVwICgGef5bjdrVui1dyHhwe7UVev5pCirVm0iDPgLS7eYTRybPHtt9WUZVuqVeM6zQsWcLlHjTFiBIdoT5+2fV/z53O81eK8oy+/ZBeqRl3SBVKyJNcEiIzktH+NMWoUl1Kwhxdu9WogJQUYPdrCBmbNYrHOuPoGZClVYRw9ykuPjz4SreQBoqJ4UbtggW37SU8n8va2YvZt9mRMnqyqLrtw7RpvvB82TLSSB7h8mX+a48fbth/z3vOnnrKwgUuX2JMxZoyasuzDnTu8Z12DK8esLPbCPfec7fvq0oWoZk0Lt+2npXGZ4s6dVdelJaDFFbjT06gRZ23MmCFm4+1DCAwE6ta1/VHGy5Zx5dOxYy1swGjkU9/GjVNTln2oVIl1L14MnDghWs19VKvG54TPn2/bk3C3bQPOnAHGjLGwgSlTOIni009V1WUXvLx4x0RsLLBli2g19+HpCTz33N3Vsa24eJGPDx41ysLE8ZkzOftNyzsPbIw04CL55BO2YBo7btTFBXjlFb632LKow2+/cfKSRUf17tnDpzy99x6nz+uR//6Xb+QarJE9diznBf31l+36mD2bcw8tKt6SkMDJS6NHc2KgHhkzhvftadAAvfACkJVl2/L95vDJCy9Y8OacHK51/vTTQLt2akvTD4UtzbX4cCgXuplevYjKl2d/soZITGTv5Btv2Kb9w4fZ+/399xY20L8/kY8PUWqqqrrszrhxRG5uRBcuiFZyHzk5nBvUvbtt2k9O5gOjLC7d+9FHRC4uRGfOqKrL7vz0E18I27aJVnIfJhNXJW3Y0DYe/pwcrnhqsfd77lz+3jZtUlWXFoF0oWuYTz7hTbe//y5ayX1UqMDJbAsW2CaZbdYsTpgbMcKCN586xf69N96w8uQTDfDee/z87bdidfwLd3dehW/axG5utfn9d17hWRQ+SU3lYjgDBwJ16qiuza6MGcP7wjVWnU9ROMITF8dubrVZtYpPP3vrLQvebDLxwTBNm3JxLGemMMuuxYdDrsCJOIunWjXOHtEQsbE8yf3lF3XbTUri/C2Lzx8fO5bdA9euqapLGKNH81ao69dFK7mPq1fZOfDf/6rbbnY2/9yfftrCBr75hn+Ye/aoqksYn3/On+fgQdFK7iMri3PEevdWv+02bfjgFIuS19au5e9r0SLVdWkRPGQFLtwoF+fhsAZ882ay/igu9TGZiFq35izRnBz12jUa+eMeO2bBmxMS2Hi/8op6gkRz4gSnfX/yiWglDzBkCO/TTU5Wr80FC3j8Q0IseHN2Nvv2Lbb+GiQ5mbdjDB0qWskDfPYZ/zTVjFTs2MHjP326hQ0YDEQ1ahDl5qonSsNIA651TCaili2J6tTR3I9y3TpS9RTU9HQiX1+iPn0sbOCTT/iOcuqUOoK0wsCBbClv3xat5D4OHCBVaw6ZTERNmhA98YSFsdV588ghY58ffMAx/dOnRSu5jytX1N+pN3Agp6+kpVnw5pgYHv+fflJPkMaRBlwPrFzJw7F4sWgl92G+4TZooM4Ry9Om8ceMjbXgzampfOVbdWiwRtm3j7+YL78UreQB+vblr12NucX69fwx58yx4M35+ZxV1bSp5vZOW83Vq2wpx44VreQBxo0jcnVVZ25h/pl/+qmFDfTpo8mkX1siDbge0PDNackS/qUsWWJdOykpRJUqEXXsaGED333HQnbutE6IVgkO5qBjZqZoJfdhvulOmmRdO7m5/BOvW9fCkIzZHeSosc9XXiHy8OBlr4YwV6u1uODSPXTvzh44iyaDx4/z+Ftcd1efSAOuFzS6NSIvj+tj+/tzGWdL+fBD/ni7d1vw5uxs3ndicdkuHRAZyV/Qr7+KVvIAvXuzh9+avMFZs/jjrVxpYQOBgRz7VDMhQ0ucOcNu9PfeE63kAd5/nyNXFuWt/E1EBI//t99a2IA52TMx0XIROkQacL2g4QQdc3nVzz6z7P1nz/LiYtQoCwXMn88CNm60sAEdYM4afPxx+5wkUQxOnODxs/SQm7Q0Pr/D4sqh5i0R06ZZJkAvDB3KCW0ay4VITOQwSseOloXScnM5zadaNQsdTJcvE7m7E735pgVv1jfSgOsJDW+Ref55DtMVNxZmMhH17MlbxyzyDppMRI0aETVurLnwguosX87jv2KFaCUPMH48SwsNLf57x47lFdyOHRZ23rcv+14dPfZpjld89ZVoJQ8wZ47lDiLzTrllyyzs/L332Dtx7pyFDegXacD1REoK+yoHDRKt5AGuXKH/b+++w6Ossj+Af89SQpMSunREXBClBUR0EWlL2ALI0tZHEVTgh7B0kObDAlIiBgQWELAigi4rRQQpio8iGgmIEKQIAhJAKQGkQ8j5/XHeLNk4k0wmM3PfO3M+z5NHzLyZOe/ceee+t53LRYsyN2okezH4asYM+aTNnOnnC3/0EYdkdxU3SE2V1QiNGrnuZuXqVekcuOuunC0rW7lSim/ECD9feO9eeYJg767iFq1aMZcv77q8EGlpkjntjjtyljhw505pPHft6ucLu3iZXShoBW6bUaNcuaSEmfmDD+RT88wzvh2fkCAXb/v2uaiPHnmEuVKl8B37zGzePHmTP/vMdCS/sWWLlGfr1r6teDx6VCYNN2ggI0R+efppybt66pSfT2CZDRvY/6n6wfXjj8xFijDXqydtjeycPi0rWMqWlQROfpk6Vd6PHTv8fAK7aQVum/RkJX37mo7Eo9Gj+b8rnrKqlHfskAu3ShXmlBQ/X+zrrzl3SdMtdOUKc+nSMu7gQuldqX36ZD0eeuQIc7Vq0muzd6+fL3b8uAy+9+vn5xNYKC1NashatQKzdjPA1q+XDH2tWmV9U3b+vIx7R0XJBDa/XL0qkydat/bzCeynFbiNXJwuNDVVusMAaRx5uojXr5der0qVcvHlzSxrvsNh05KcmjBB3uDdu01H4tGIERJebKznllVCgty4FS/u56qDjC/0u9/JLMhIsmSJvMGrV5uOxKM335Twmjb1nKUtKUk2Q8mbl3nNmly80MKF8kKbNuXiSeymFbiN9u93bXpNZmkYjB0rn6AKFWRp5vLl0jpr3lx+X7s287FjuXiRAwdc/R4EVXrCeL+n7QdXWprkyM+fX3pZBg5kXrGCedEi5i5dpPzLlpU5WX47f16a734Pnlrsxg25A3r4YdOReLV0qUzXKVxYdi18/31ZLNKnj1TcJUvK/Ae/paYy16wp4y8umw8SSlqB28qC1ufHH0v+ESL5NAGyEi4+PgAThvv0kV6IkycDEqt1BgyQAedc3QUF17ZtskY8Kup2+RcqJMsNc/2xnTZNnjAxMSCxWic9beHWraYj8eqnnyQ1auHCt8u/QAHmp54KwHLt9Ak3uc0gZbmsKnCSx+0QExPDiYmJpsMInW++AR54AHj5ZWDIENPRZCk5GUhJAQoWBKpUka1Cc+Xnn4GqVYEePWTv0Uh05AhQowYweLBsn+hiv/4K7NkDlCsHVKgQgPK/fh2oVg2oXRvYtCkgMVrn8mWgcmXgkUdk/00Xu3kT2LkTKFIEuPtuIG/eXD4hM/Dgg8Dp08D+/QF4QnsR0XZmjvH0mO4H7maNGwPNmwMzZgA3bpiOJksVKwL33y8Xb66/vAFg9mw556FDA/BklqpaVTZlf/VV4MIF09FkqWhR+b6tVi1A5b9kCXDyJDBiRACezFKFCwP9+gErV0ol5mL58gGNGgG1agWorv3iCyAhQa7/CK68s6MVuNuNGCHN26VLTUcSOhcvAnPnAh07AjVrmo7GrOHD5f2IpF6ItDTpcahXD2jd2nQ0Zg0YIHdEL79sOpLQiosDSpcGevY0HYmraQXudm3bAvfdJ19oaWmmowmNRYuA8+cju/WVrkEDoFUrYOZM6VaOBB9+COzbJ+VPZDoas8qUkUrsrbdkWCkSJCUBH30kNy8FC5qOxtW0Anc7Ivki27MHWLvWdDTBd/MmEB8PNGsm4/9KWuEnT0q3ciSIi5OJFJ07m47EHYYOleti9mzTkYTGSy8BhQoBzz1nOhLX0wrcBl27ymSWuDjTkQTfsmUyZKCt79tatwbq1gWmTw//XpgvvwS2btWxz4xq1AA6dZJhpYsXTUcTXD/9BLz7LvDss0B0tOloXE8rcBvkyyez0L/4AvjqK9PRBE9aGjBtGnDvvUBsrOlo3CO9F2bvXulaDGdxcUDJkkCvXqYjcZfhw2VYadEi05EE18yZMgN98GDTkVhBK3BbPPOM3JGGcyt87VoZKnj+eeB3+tH8H507h38vzPffA6tXA/37ywxsdVvjxrKcLD5eutPDUUoKsGAB0L27DKGobOm3pC0KF5YxoVWrZIJPOJo6VS7crl1NR+I+6b0wW7aEby/M9OkyaUnHPj1LX5GybJnpSIJj3jxZ+z58uOlIrKEVuE0GDACiouSLLtxs2SLjn8OGSWWlfuvpp4ESJVyf1MUvycnAO+9I13np0qajcafYWKBOHSl/ixJw+eTyZek+j42VhBLKJ1qB26R0afmCW7wYOHHCdDSBNXUqUKqUjn1mpUiR24k9DhwwHU1gpU/Qi+TEPdkhktbp7t3A+vWmowmsRYuAM2eAMWNMR2IVrcBtM3QokJoKvPKK6UgCZ9cumZw1cKAsH1HehWNij1OnZOzz8ccllZvyrls3yVUbTnMhbtyQXoVmzYCHHjIdjVW0ArdN9eoyoWn+fNen1/RZXJy0LnXsM3tly0p++HBK7DFzJnDtGjBqlOlI3C9/fpmhvXkzEC77QixeDBw/DowebToS62gFbqORI2X3iHBIr3n4sEzK6dNHxndV9oYOlVZLfLzpSHLv/HngX/+Sdc6//73paOzw7LNAsWLh0QpPTZXhs4YNgTZtTEdjHa3AbVS/viT3CIf0mtOny5IxXffpu5o1pSt17lwZN7TZnDlyM6qtL98VLSq9VcuXy9I7my1fDhw8KOUf6Wlz/aAVuK1GjJD0mu+8YzoS/x07JpNXevaUcT3lu3HjgCtX7B4Lv3RJbkLbtZObUuW7wYNlaenEiaYj8R8zMHmybGHWoYPpaKykFbitWraUjS7i4qQbykaTJ8tFrDNPc65WLaBLF2nBnj1rOhr/LFggsWv551ypUjKh8b337G2Fr1kjM+pHjdLETX7Sd81WRPLFd+CA5A62zdGjwGuvydrmypVNR2OnceNk/ayNY+HXrsnwSfPmQNOmpqOx05Ah9rbCmSXuqlVlOEj5xUgFTkQvEdE+ItpFRCuIqLiJOKzXsaN0PY4fb196xcmT5SZExz79d++9siJh9mxJQ2mTV1+VIaCxY01HYi+bW+GrVgHbtgEvvKCJm3LBVAt8I4A6zHw/gAMAdP2IP4iASZNkJvcbb5iOxndHjgCvvy753StVMh2N3caNkx2qZswwHYnvLl4EXnwRePRRoEUL09HYzcZW+K1bcuN2zz3AE0+YjsZqRipwZt7AzOkDt18DqGgijrAQGws8+KBcwNeumY7GNy++KGNeuu439+rUAf72N2DWLODcOdPR+OaVV4DTp2/3wij/2dgKX7ZMNi2aMEG3jM0lN4yB9wKwznQQ1kpvhScn27Eu/PBh4M03gd69gYp63xYQL7wgS7FsyJF/9qxk3WrfHmjSxHQ04SG9FT5hgulIsnfzpnxe69aVG0+VK0GrwIloExElefhpn+GYMQBSASzJ4nl6E1EiESWePn06WOHarUUL+Zk8WSY1udnEiUCePNr6DqT77pOJQDNmyLiym02bJl3okyaZjiR8lCoF/OMf0gr/9lvT0WTtjTeAH3+83QuncoXY0K42RNQDQF8ALZn5ii9/ExMTw4nhkj4w0LZulTzCU6dKpjY32r1b7rwHDbJz5rSbHTokmcyeeUa2ZXSj48eBGjVk4t3bb5uOJrycPw/cdZdkNNuwwXQ0nl27JuVfubLsPKjDJz4hou3MHOPpMVOz0NsCGAngr75W3iobTZtKQoxp09w7FjpypKSA1JnHgXfXXZKOduFC9+5UNmmS5CwYP950JOGneHG5rjZulB83mjdPbuJ07kPAmOrDmAPgDgAbiWgnEc03FEd4mTJFNjhx41jYJ58A69bJ2vXoaNPRhKdx44ACBSRLn9scPChZ93r3lg15VOD16wdUqSLlf+uW6Wj+V0qK3MC1aiVr/1VAmJqFXoOZKzFzPeenr4k4ws7990tilDlz3NUKu3VLNuCoXBno3990NOGrbFm5QVq1Sm6Y3GTIELm5GDfOdCThKypKbuJ37nTfstJ//lO6+W1O/etCOosg3EycCBQsCAwbZjqS2159FfjuO5klXaCA6WjC2+DBsqf2oEHuSbH78cfAhx9K5V2unOlowlu3bjIXZvRoqTDd4PvvZce53r2lkaECRivwcFO2rIyFffgh8NFHpqOR3bLGjpWkHbpsJPgKFJBlWklJ7lhWeOOG3EzcfTcwcKDpaMIfkWTmO3PGHUNpzHJTWaSIO+IJM1qBh6NBg2Szi/79Zccqk8aMkTXKs2frxJVQeewxGWscPRo4ccJsLPHxwP79ssQtKspsLJGifn3ZM3zWLOn5MmnZMpkVP3EiULq02VjCkFbg4Sh/fmD+fElZajLF4uefy45TAwdK3m4VGkQy4/fGDbOt3h9+kBnnjz0G/OlP5uKIRFOmACVLSkVuakJbSoo0Jho1kgl2KuC0Ag9XzZrJPtvTp5tJ7nD1qqxJrl5du85MqFFDxpyXL5fhlFBjlmVtBQpI74sKrehoSVm7bZu593/kSMm8t2CBJG9SAacVeDibPl2yND35JHD9emhfe/x4aYEtXChpHlXoDRsmWdp695Yx0VBasADYvFn2q7/zztC+thJdu0puiDFj5FoMpbVrZdngkCFAvXqhfe0IohV4OIuOlj23k5Ik/3CofPaZTKR69lndbcqk/PmBxYulK7NPH2kVh8K+fTJxqU0b6YVRZhDJRMaoKODxx0O35fDp00CvXnLzqL1vQaUVeLhr104q0pdeAjZtCv7rnTkjXxY1a9q1xWW4qltXEmh88EFo1gZfvw78/e9AoUKyaY3muzarYkXpBdu2LTQZ8Jjl++bcOeCdd3TZaJDp1RUJ4uOB2rWB7t2BY8eC9zppaTLufuYMsHSpdp27xZAh0hPy3HPAjh3Bf61vv5Wen/Llg/tayjedOkmCpylTpGs7mOLiJJHQ1Km65jsEtAKPBEWKAP/5j2wm0Llz8PYNHzMGWLNGbhjq1w/Oa6icy5NHbqhKlZIZ4cEaD1+wAJg7Fxg+XLYLVe4xa5aMRXfvLkMcwbBxoyxd7NpVZp+roNMKPFLcc490aSYkAE88EfilJW+/LXfdffvqkhE3KlNGutF//hno2DHw+QE2b5YWftu20tJT7lKoELBypYyHt28f+Ju4pCSpuGvXlt4XzfkQElqBR5JOnSQX8fLlsn9woCY1rVghXXQtWsidvl687tSokdxoffmlZMW7cSMwz/vVV8Bf/iLZ1pYu1SVDblW5stzE/fSTTDAMVKrVQ4eA1q0lhfPq1Tp0FkJagUeaIUOki3PuXGkx5bYlvnIl0KULEBMjFXm+fIGJUwVHly4yM3ndOmkxXb2au+dLSAA6PtnlAAAJ90lEQVRiY2W8+5NPZFtL5V4PPyyVeFKSlFtutx7evx9o2VJuBjdskDz8KmS0Ao9E06ZJkoV58+RL3J/uVGaZZd6pE9CwoWxYUbRo4GNVgZeeZnPVKvny9bc79f33ZWvI6GipvHXSmh1iY6Xstm8HmjTxf434li1A06by/bF+vWZbNEAr8EhEJOPV8fEyua1BA7mYfZW+VGzIEKBDB5m8UqxY8OJVgTdgAPDvf8uM8Xr15AbMV5cuSdl37So3bwkJ0j2r7NGhA/Dpp5Ij4IEHZMmXr0NqN2/K0sQWLSRd61dfSQ+cCj1mtuanYcOGrAJs0ybmChWY8+Zl7t2b+fBh78f++ivzrFnMJUrI8RMnMt+6FbJQVRAkJjLXrs0MMHfrxrxzp/djr15lfust5ipV5Ph+/ZivXQtZqCoIDh1ibtJEyrN1a+bPP2dOS/N8bGoq8/LlzHXr3v68nD0b2ngjEIBE9lInEocqO1MAxMTEcGJioukwwk9Kimz5+dprMibetKlMSqlUSWavHj0qLbVVq6S77NFHgTlzZMapst+1a9KieuUVaV0/8ADwyCPSJZovn+SzTkyU7WnPnAHq1JHNch56yHTkKhBu3ZLyHDtWJrbVqSNDK/XqSTa/y5eBb76RnrajR2V/g7g4GT5TQUdE25nZYxeHVuDqtuRkGRf/+OPfJvwoV05mGvfsKeNmOtM8/Jw7J2u5V62SCjtj6s0yZYA//EGWCbZsqeUfji5fBt59V1YqbN/+vxMcixeXG7annpJliLrSIGS0Alc5d+GCtLwuXZKWeIkSpiNSoXTliuwlfvOmTE68806ttCNJaipw+LBkV4yKkjkOmhbXiKwq8LyhDkZZolgxnZgWyQoVki1JVWTKm1fW9StX01sqpZRSykJagSullFIW0gpcKaWUspBW4EoppZSFtAJXSimlLKQVuFJKKWUhrcCVUkopC2kFrpRSSllIK3CllFLKQlqBK6WUUhayKhc6EZ0GcDSAT1kKwJkAPp9Jei7upOfiTnou7qTn8ltVmLm0pwesqsADjYgSvSWJt42eizvpubiTnos76bnkjHahK6WUUhbSClwppZSyUKRX4AtMBxBAei7upOfiTnou7qTnkgMRPQaulFJK2SrSW+BKKaWUlcK+AieizkS0h4jSiCgm02OjiOggEe0noj96+ftqRJRARD8Q0XtElD80kWfNiWWn83OEiHZ6Oe4IEe12jksMdZy+IKLxRHQ8w/m083JcW6esDhLR86GO0xdE9BIR7SOiXUS0goiKeznOteWS3ftMRFHO5++gc21UDX2U2SOiSkS0mYj2Ot8BAz0c05yILmT47L1gIlZfZPeZITHLKZddRNTARJzZIaJ7MrzfO4noVyIalOkY15YLEb1ORKeIKCnD76KJaKNTT2wkohJe/raHc8wPRNQj18Ewc1j/AKgF4B4AnwGIyfD72gC+AxAFoBqAQwDyePj79wF0c/49H8D/mT4nDzG+DOAFL48dAVDKdIzZxD8ewLBsjsnjlFF1APmdsqttOnYPcbYBkNf59zQA02wqF1/eZwD9AMx3/t0NwHum4/ZyLuUBNHD+fQeAAx7OpTmANaZj9fF8svzMAGgHYB0AAtAEQILpmH04pzwAfoasdbaiXAA0A9AAQFKG38UBeN759/OernsA0QB+dP5bwvl3idzEEvYtcGbey8z7PTzUHsAyZr7OzIcBHATQOOMBREQAWgBY7vzqLQAdghlvTjkxdgGw1HQsQdYYwEFm/pGZbwBYBilDV2HmDcyc6vzv1wAqmozHD768z+0h1wIg10ZL53PoKsx8kpl3OP++CGAvgApmowqq9gDeZvE1gOJEVN50UNloCeAQMwcyQVdQMfPnAFIy/TrjNeGtnvgjgI3MnMLM5wBsBNA2N7GEfQWehQoAjmX4/2T89uIuCeB8hi9kT8eY9gcAvzDzD14eZwAbiGg7EfUOYVw51d/p9nvdS/eTL+XlNr0gLSJP3FouvrzP/z3GuTYuQK4V13K6+esDSPDw8INE9B0RrSOie0MaWM5k95mx8RrpBu+ND1vKBQDKMvNJQG4cAZTxcEzAyydvbv7YLYhoE4ByHh4aw8yrvP2Zh99lnpLvyzFB4+N5dUfWre+HmPkEEZUBsJGI9jl3kCGV1bkAmAdgIuS9nQgZEuiV+Sk8/K2RJRS+lAsRjQGQCmCJl6dxRbl44PrrIqeIqAiA/wAYxMy/Znp4B6T79pIz92IlgLtDHaOPsvvM2FYu+QH8FcAoDw/bVC6+Cnj5hEUFzsyt/PizZACVMvx/RQAnMh1zBtINlddpaXg6JmiyOy8iygvgMQANs3iOE85/TxHRCkgXacgrCl/LiIgWAljj4SFfyiskfCiXHgD+DKAlO4NfHp7DFeXigS/vc/oxyc5nsBh+26XoCkSUD1J5L2HmDzI/nrFCZ+a1RDSXiEoxs+vycfvwmXHNNeKjWAA7mPmXzA/YVC6OX4ioPDOfdIYtTnk4Jhkytp+uImRult8iuQt9NYBuzozaapC7u28yHuB8+W4G8DfnVz0AeGvRm9AKwD5mTvb0IBEVJqI70v8NmWCV5OlYkzKN03WE5xi3AbibZFVAfkjX2+pQxJcTRNQWwEgAf2XmK16OcXO5+PI+r4ZcC4BcG596u1ExyRmXfw3AXmaO93JMufTxeyJqDPlOPBu6KH3j42dmNYAnndnoTQBcSO/WdSmvvYe2lEsGGa8Jb/XEegBtiKiEM0zYxvmd/0zP6Av2D6RCSAZwHcAvANZneGwMZMbtfgCxGX6/FsCdzr+rQyr2gwD+DSDK9DlliPNNAH0z/e5OAGszxP6d87MH0sVrPG4P57EYwG4Au5wLoXzmc3H+vx1kJvEhF5/LQcg4107nJ322tjXl4ul9BjABclMCAAWca+Ggc21UNx2zl/N4GNJFuStDebQD0Df9ugHQ3ymD7yCTDpuajtvLuXj8zGQ6FwLwL6fcdiPDqhu3/QAoBKmQi2X4nRXlArnpOAngplO3PA2ZA/IJgB+c/0Y7x8YAWJThb3s5181BAD1zG4tmYlNKKaUsFMld6EoppZS1tAJXSimlLKQVuFJKKWUhrcCVUkopC2kFrpRSSllIK3CllFLKQlqBK6WUUhbSClwp5RURNXI2mSngZAPbQ0R1TMellIImclFKZY2IJkGyrxUEkMzMUwyHpJSCVuBKqWw4OdG3AbgGSWl5y3BISiloF7pSKnvRAIoAuAPSEldKuYC2wJVSWSKi1QCWAagG2Wimv+GQlFIIk/3AlVLBQURPAkhl5neJKA+ArUTUgpk/NR2bUpFOW+BKKaWUhXQMXCmllLKQVuBKKaWUhbQCV0oppSykFbhSSillIa3AlVJKKQtpBa6UUkpZSCtwpZRSykJagSullFIW+n9VRszgThqe+QAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "a1 = 3\n", + "b1 = -1\n", + "k1 = 2\n", + "y1 = []\n", + "\n", + "a2 = -9\n", + "b2 = 3\n", + "k2 = 4\n", + "y2 = []\n", + "\n", + "a3 = 2\n", + "b3 = 7\n", + "k3 = 1\n", + "y3 = []\n", + "x = []\n", + "\n", + "for i in np.arange(-10, 10, 0.1):\n", + " x.append(i)\n", + " y1.append(k1*np.cos(i - a1) + b1)\n", + " y2.append(k2*np.cos(i - a2) + b2)\n", + " y3.append(k3*np.cos(i - a3) + b3)\n", + "\n", + "rcParams[\"figure.figsize\"] = 8, 5\n", + "plt.plot(x, y1, color=\"red\")\n", + "plt.plot(x, y2, color=\"blue\")\n", + "plt.plot(x, y3, color=\"green\")\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Задание 3\n", + "1. Напишите код, который будет переводить полярные координаты в декартовы.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 165, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Введите радиус-вектор R: 20\n" + ] + } + ], + "source": [ + "R=float(input('Введите радиус-вектор R: '))" + ] + }, + { + "cell_type": "code", + "execution_count": 169, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Введите угол от 0 до 2Пи: 3.14159\n" + ] + } + ], + "source": [ + "angle=float(input('Введите угол от 0 до 2Пи: '))" + ] + }, + { + "cell_type": "code", + "execution_count": 170, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-19.999999999929585 5.30717958670546e-05\n" + ] + } + ], + "source": [ + "x = R*np.cos(angle)\n", + "y = R*np.sin(angle)\n", + "print(x, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "2. Напишите код, который будет рисовать график окружности в полярных координатах.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 213, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'y')" + ] + }, + "execution_count": 213, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "R = 100\n", + "x = []\n", + "y = []\n", + "\n", + "for i in np.arange(0, 2*np.pi, 0.01):\n", + " x.append(R*np.cos(i))\n", + " y.append(R*np.sin(i))\n", + "\n", + "rcParams[\"figure.figsize\"] = 5, 5\n", + "plt.polar(x, y, color=\"red\")\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "3. Напишите код, который будет рисовать график отрезка прямой линии в полярных координатах." + ] + }, + { + "cell_type": "code", + "execution_count": 212, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'y')" + ] + }, + "execution_count": 212, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "lag = 0.001*np.pi\n", + "r = np.arange(-np.pi, np.pi + lag, lag)\n", + "phi = r*np.pi\n", + "\n", + "plt.polar(phi, r, 'red')\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Задание 4\n", + "1. Решите систему уравнений:\n", + "#### y = x2 – 1\n", + "#### exp(x) + x∙(1 – y) = 1" + ] + }, + { + "cell_type": "code", + "execution_count": 214, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.optimize import fsolve" + ] + }, + { + "cell_type": "code", + "execution_count": 229, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:4: RuntimeWarning: invalid value encountered in true_divide\n", + " after removing the cwd from sys.path.\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(-5, 5, 201)\n", + "rcParams[\"figure.figsize\"] = 8, 5\n", + "plt.plot(x, x**2 - 1)\n", + "plt.plot(x, 1 - (1 - np.exp(x))/ x)\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.grid(True)" + ] + }, + { + "cell_type": "code", + "execution_count": 227, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.6181455730854593 5.854686241866944\n" + ] + } + ], + "source": [ + "def equation(p):\n", + " x, y = p\n", + " return (y - x**2 + 1, 1 - (1 - np.exp(x))/ x - y)\n", + "\n", + "x1, y1 = fsolve(equation, (1, 1))\n", + "print(x1, y1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "2. Решите систему уравнений и неравенств:\n", + "#### y = x2 – 1\n", + "#### exp(x) + x∙(1 – y) > 1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Решением являются те же графики, что и выше, только все корни лежат выше второго графика с экспонентой, но в пределах параболы" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +}