NumericalMethods/HW3/HW3.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ed049dae",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "17da2ee7",
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams.update({\"font.size\" : 15, \"font.family\" : \"serif\"})"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cdcca142",
   "metadata": {},
   "source": [
    "### Задача 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2fa3961",
   "metadata": {},
   "source": [
    "Пусть $y$ - проекция $v$ на $range(A)$, тогда $v-y$ должно быть ортогонально $range(A)$. Так как $y\\in range(A)$, то $y=Ax$, условие оротогональности переписывается в виде $A^T(v-Ax)=0$, т.е. $x=(A^TA)^{-1}A^T,\\; y = Ax = A (A^TA)^{-1}A^T$. \n",
    "\n",
    "Окончательно $P = A (A^TA)^{-1}A^T$ \n",
    "\n",
    "*(при выводе сделано предположение, что $A^TA$ обратима, что верно, когда столбцы матрицы $A$ независимы)\n",
    "\n",
    "$A=\\begin{pmatrix} 1 & 0\\\\ 0 & 1 \\\\ 1 & 0 \\end{pmatrix}, \\; (A^TA)^{-1}=\\begin{pmatrix} 1/2 & 0 \\\\ 0 & 1\\end{pmatrix}$\n",
    "\n",
    "$P_A = A(A^TA)^{-1}A^T = \\begin{pmatrix} 1/2 & 0 & 1/2\\\\ 0 & 1 & 0 \\\\ 1/2 & 0 & 1/2 \\end{pmatrix}$\n",
    "\n",
    "$B=\\begin{pmatrix} 1 & 2\\\\ 0 & 1 \\\\ 1 & 0 \\end{pmatrix}, B^TB = \\begin{pmatrix} 2 & 2 \\\\ 2 & 5\\end{pmatrix}, (B^TB)^{-1} = \\frac{1}{6}\\begin{pmatrix} 5 & -2 \\\\ -2 & 2\\end{pmatrix}$\n",
    "\n",
    "$P_B =  \\frac{1}{6}\\begin{pmatrix} 1 & 2\\\\ 0 & 1 \\\\ 1 & 0 \\end{pmatrix}\\begin{pmatrix} 5 & -2 \\\\ -2 & 2\\end{pmatrix} \n",
    "\\begin{pmatrix} 1 & 0 & 1\\\\ 2 & 1 & 0 \\end{pmatrix} = \n",
    "\\frac{1}{6}\\begin{pmatrix} 5 & 2 & 1\\\\ 2 & 2 & -2\\\\ 1 & -2 & 5\\end{pmatrix}$\n",
    "\n",
    "Столбцы матрицы А ортогональны, поэтому QR-разложение ищется просто нормировкой столбцов\n",
    "\n",
    "$Q = \\begin{pmatrix} 1/\\sqrt{2} & 0\\\\ 0 & 1 \\\\  1/\\sqrt{2} & 0\\end{pmatrix} , \\; R=\\begin{pmatrix} \\sqrt{2} & 0 \\\\ 0 & 1\\end{pmatrix}$\n",
    "\n",
    "Ортогонализация Грама-Шмидта для B\n",
    "\n",
    "$q_1 = \\frac{1}{\\sqrt{2}}a_1 = \\frac{1}{\\sqrt{2}}\\begin{pmatrix}1\\\\0\\\\1\\end{pmatrix} = \\frac{1}{r_{11}}\\begin{pmatrix}1\\\\0\\\\1\\end{pmatrix}, \\; r_{11} = \\sqrt{2}$\n",
    "\n",
    "$u_2 = a_2 - \\frac{(a_1, a_2)}{||a_1||^2}a_1 \\Leftrightarrow r_{22}q_2 = a_2 - r_{12}q_1, \\; u_2 = \\begin{pmatrix} 1 \\\\ 1 \\\\ - 1\\end{pmatrix}, \\; q_2 = \\frac{1}{\\sqrt{3}}\\begin{pmatrix} 1 \\\\ 1 \\\\ - 1\\end{pmatrix}$\n",
    "\n",
    "$r_{22} = ||u_2|| = \\sqrt{3},\\; r_{12} = \\frac{(a_1, a_2)}{||a_1||}=\\sqrt{2}$\n",
    "\n",
    "$R = \\begin{pmatrix}\\sqrt{2} & \\sqrt{2}\\\\ 0 & \\sqrt{3}\\end{pmatrix}, \\; Q = \\begin{pmatrix} q1\\; |  \\; q2\\end{pmatrix}$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5518f255",
   "metadata": {},
   "source": [
    "### Задача 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b91597f3",
   "metadata": {},
   "source": [
    "$m = 1,\\; a(10) = \\frac{f_1}{2} + \\left(f_1 + \\frac{f_2}{2}\\right) + ... + (f_1+...+\\left(f_9 + \\frac{f_{10}}{2}\\right) = \\frac{1}{2}\\left( 19f_1 + 17f_2 + ... + f_{10}\\right),\\; v(10)=f_1+...+f_{10}$\n",
    "\n",
    "$f = (f_1, ..., f_{10})^T, \\; A = \\begin{pmatrix} \n",
    "\\frac{19}{2} & ... & \\frac{1}{2} \\\\\n",
    "1 & ... & 1\n",
    "\\end{pmatrix}$\n",
    "\n",
    "Для недоопределённой системы $Af = a$ можно искать решение линейной системы с минимальной 2-нормой $||f||_2$. Метод множителей Лагранжа в таком случае даёт решение $f = A^T(AA^T)^{-1} a$ (right pseudoinverse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "18d6765c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n",
      "True\n"
     ]
    }
   ],
   "source": [
    "A = np.array([[9.5-i for i in range(10)], np.ones(10)])\n",
    "a = np.array([1,0]).T\n",
    "\n",
    "f1 = np.linalg.lstsq(A, a, rcond=None)[0]\n",
    "f2 = A.T@np.linalg.inv(A@A.T)@a\n",
    "\n",
    "print(np.allclose(f1, f2))\n",
    "print(np.allclose(A@f1, a))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d9347468",
   "metadata": {},
   "source": [
    "### Задача 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ffd7e107",
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 7\n",
    "x = np.sort(np.random.uniform(low=0.0, high=6.0, size=n))\n",
    "y0 = 10*np.sin(x)\n",
    "y = y0 + np.random.normal(size=n)\n",
    "\n",
    "p1 = np.polyfit(x, y, deg=1)\n",
    "p2 = np.polyfit(x, y, deg=3)\n",
    "\n",
    "f1 = np.poly1d(p1)\n",
    "f2 = np.poly1d(p2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2c6c9bee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7feb1bd47040>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(x, y0, color=\"red\", label=\"True\")\n",
    "plt.scatter(x, y, color=\"black\", label=\"Data\")\n",
    "plt.plot(x, f1(x), color=\"blue\", label=\"Linear\")\n",
    "plt.plot(x, f2(x), color=\"green\", label=\"Cubic\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8ea9a12e",
   "metadata": {},
   "source": [
    "### Задача 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "id": "dd579bdf",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(25, 60)\n",
      "(1500, 816)\n"
     ]
    }
   ],
   "source": [
    "with np.load(\"data.npz\") as data:\n",
    "    A, C = data[\"A\"], data[\"C\"]\n",
    "    \n",
    "def mat2vec(A):\n",
    "    return A.flatten()\n",
    "\n",
    "def vec2mat(a, shape):\n",
    "    return a.reshape(shape)\n",
    "\n",
    "print(A.shape)\n",
    "print(C.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "id": "c2614e3b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7feb0ab32bf0>"
      ]
     },
     "execution_count": 150,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 691.2x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.matshow(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 173,
   "id": "8e4035fb",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/h9/ll8t8frd1r575llt96l1glhm0000gn/T/ipykernel_43808/2371967909.py:2: FutureWarning: `rcond` parameter will change to the default of machine precision times ``max(M, N)`` where M and N are the input matrix dimensions.\n",
      "To use the future default and silence this warning we advise to pass `rcond=None`, to keep using the old, explicitly pass `rcond=-1`.\n",
      "  a0 = np.linalg.lstsq(C, a)[0]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7feb09a9f460>"
      ]
     },
     "execution_count": 173,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = mat2vec(A).T\n",
    "a0 = np.linalg.lstsq(C, a)[0]\n",
    "A0 = vec2mat(a0, (16, 51))\n",
    "plt.matshow(A0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "id": "d10f062c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(816,)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7feafa778dc0>]"
      ]
     },
     "execution_count": 183,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "u, s, vh = np.linalg.svd(C, full_matrices=False)\n",
    "print(s.shape)\n",
    "\n",
    "plt.figure(figsize=(8, 4))\n",
    "plt.subplot(121)\n",
    "plt.semilogy(s)\n",
    "plt.subplot(122)\n",
    "plt.plot(s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "id": "da03e7f0",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/h9/ll8t8frd1r575llt96l1glhm0000gn/T/ipykernel_43808/88012303.py:3: FutureWarning: `rcond` parameter will change to the default of machine precision times ``max(M, N)`` where M and N are the input matrix dimensions.\n",
      "To use the future default and silence this warning we advise to pass `rcond=None`, to keep using the old, explicitly pass `rcond=-1`.\n",
      "  w = np.linalg.lstsq(s1, u1.T@a)[0]\n",
      "/var/folders/h9/ll8t8frd1r575llt96l1glhm0000gn/T/ipykernel_43808/88012303.py:6: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n",
      "  plt.matshow(A1)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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xbeH26QtDuVsOPSGUGx4dCOXyuUooN1eL7dqqslAuG5gjJOnu6U2h3H0TG0K5XKYWykVdmD8QynVabB82W+trP1ONjZVaNVZHBIeKMsF115GLzfHZYHuVSuz4sNdi216tFmsvY7EV0RPct/dmYrlWcEQeAAAASCEKeQAAACCFEju1xsx+S9JOSesaP7db0vWS/tbdg/+ZBAAAAKCZJM+Rv0HSNe7+cUkys2dK+rakPknXJNgOAAAAsOYleWrNnZKum3/i7ndIulnSGxNsAwAAAIASPCLv7pc3eXlGUj6pNgAAAADULdnFrmaWlfQs1U+5AQAAAJCgpbxrzTsljUi6utmbZrbTzPaY2Z6Zo3NL2A0AAADg9LMkhbyZXS7pbZIud/emd8F3913uvt3dt3cNdi5FNwAAAIDTVuKFvJm9VNK1ki5z9+Gkfz4AAACAhAt5M3u56kX8S919X+O1nWY2mGQ7AAAAwFqX5BdCvULSLklvkbTJzDY13nqrpK9LOppUWwAAAMBal+QXQt0oqUPSTQn+TAAAAABNJHkf+fD94que0Xilq+3c3tKGUHtHK8VQ7s4jW0O5ex/ZGMpVJjpCOeU8FPvZuk0nX6iJn67bHMoNdU6GcmPlQig3Mhtb7+Vqtu1MTz52J6atPUdCubMLsf/wqnrs7LqfTZwZyv1weEsoV3uoO5TLTVkot78ntg19f/NZodxNQxeHclF7D6yPBfe3P09LUn4sth6mirH1cPtZPaHcPUNDoVzUyJFYP300trv1jtjnefic2NxZyJRDuScVHgrl7pg6r+3MXQfPCLWlR2I36Yiez1wu1kK5amUpb054rNpUrG7JTMf6OVuItfdgfiCU29cdqzuH8hOhXCuWdw0DAAAASASFPAAAAJBCFPIAAABAClHIAwAAAClEIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKUQhDwAAAKQQhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApFBupTsgSRXP6NBsT9u5ezKbQu3tnVwXyv1i35mhXOH+zlCu97CHcp6xUG52fT6U++nG3lDOi5VQTrPZUCw7Ffu71artf54Pd9dCbd07sDGU6yqWQrlKJfaZlB7tDuX674mtu/77y6Fcx0QsN7chti2MPa79eUyS9m4qhnKKbeoqHIwF+/bHxnXHVGxbn1kf20WNV2Jz7qHZwVAuMkdIUueB2PZQGAnFVOmK5Q4ots+8pfCEUO7B3lh7Pz6yue3M7L7Y/qt3X/A4aHCbLfXF2iv3xsaYYuWHCmOxX7BjMtZetSv2uYyqL5T7caH9MSZJm3vGQrlWcEQeAAAASKElKeTNbKuZjZvZ7qX4+QAAAMBal3ghb2Ym6XpJ1aR/NgAAAIC6pThH/m2S9i3RzwYAAACghI/Im9njJF0p6d1J/lwAAAAAj5VYIb/glJp3ufvSXZ4LAAAAINEj8m+X9Et3/2qCPxMAAABAE4mcx25m50n6Y0mXtJHZKWmnJHWdEbv3MgAAALBWJXVB6m9LKkn6Uv0MG0nSNklq3IJyv7u/YWHA3XdJ2iVJAxduDH71AAAAALA2JVLIu/unJH1q4Wvz95B39x1JtAEAAADg1/hmVwAAACCFluILoa5oHI3fJmmbme02szcn3Q4AAACwliX+pU3u/nlJn0/65wIAAAD4tVXx7avuplIt23ZutNQVau/AZOwuOZlD+VCuOBy7lrf3oXIo53byZZqZnugI5aZK7a87SSoXY/8hlJuO/YK56VBMmWr7mVJv7DOZLXeGclOzwU25HPssux+J/X79v4yN6eJdB0I5n5wK5bJbN4Vyc319oVylK7Yeott652hsTsqPBzYGSdm5WM4GY+PMl/mkUQtuRx2x4anOsVooly3F+jkzGftAR2dj++iHc7Ht6MBob9uZwqHY79bzSGxM13KxdZAJjrFwrhKKqTASm1sKo7HPs9wdW3+VQmyf+ehgbGxWo5N1CzhHHgAAAEghCnkAAAAghSjkAQAAgBSikAcAAABSiEIeAAAASCEKeQAAACCFKOQBAACAFKKQBwAAAFKIQh4AAABIIQp5AAAAIIUo5AEAAIAUopAHAAAAUohCHgAAAEih3Ep3QJKymZr68rNt5wbyM6H2Ch2VUG7MPJTLVC2WK9VCOc/G2ouqZYO5fDBXDeZiq121wMdZ7o+NFd9QCuU2rJsM5WbLsSlgerYvlhuKtde5aSCUs7neUG7y3J5QbmJrbNubOascyslj7XkuOvXHclaL5aa2xH6/0rnt708kad1gbDsaHSuGcuWjXaFcZSz2uVQ7Y7laIbYvKuZj81khG5usPTDtZoKbXnYuNseHBbf1KIutcmVLsc8lOxOsdzLB+iq43svB9VBbwvXHEXkAAAAghRI9Im9m3ZI+KOk5jZfOlPQTSb/v7rE/zQEAAAAcI7FC3swykr4s6U5Jz3N3N7MnS/qBpLwkCnkAAAAgIUkekX+9pCdKeol7/Uw1d/+Zmb1YUuxkdgAAAABNJVnI/4GkW939MZcQuPutCbYBAAAAQMle7LpN0mEz+ysz+5aZ3W5mu8xsS4JtAAAAAFCyhfx6SW+VNCrp+ZJeIKlP0p1mNphgOwAAAMCal2QhX5F0UNLfeN2cpPeqfueaKxYvbGY7zWyPme2ZOxq75y8AAACwViVZyO+X9OD8ha6S5O77VS/wL1i8sLvvcvft7r69c7CQYDcAAACA01+ShfzNkh5zPryZDal+Qe2jCbYDAAAArHlJFvLXSho0s9cueO39ko5K+lyC7QAAAABrXmKFvLs/IOmFkt5iZnea2W2Szpb0THcfTqodAAAAAMneR17ufqfqd6sBAAAAsIQSLeSjMnIVs6W2c7252N1uCrlKKOdJnoi0hNxiuWpHMFfwky/ULNdVizUY/o+k2AdTy7X/+5XXx8bYuWeOhHLb1+8P5Waq+VDuVp0Xyo1PDIRy8mIoZrGhqfFzg2PlyZOh3FM3HQjlpiqx9Xd/11AoV8t3hnJWDcU0t7n9/YIknb/lUCg3VIitv59UYrvScjZ2owcLTp1WiW0QVo5tD9Pl2E7lkPWEcuWJ9sdn32jsM8mPlk++UBPl3thYyVRi+73oWFF0jAW39Ux0bNaCk3xQJrhTyUZ3Ri1ISWkKAAAAYCEKeQAAACCFKOQBAACAFKKQBwAAAFKIQh4AAABIIQp5AAAAIIUo5AEAAIAUopAHAAAAUohCHgAAAEghCnkAAAAghSjkAQAAgBSikAcAAABSiEIeAAAASKHcSndgTfBYzKqxoGUt2GAsFv5zMJoL9tOjuWz7mUyhEmrr7J6jody24v5Qrhz55SQNrxsI5X401BPKTU/HpioPjrHZc0qh3CVnDYdyzx64P5QbLg2GciNT3aHc6GRHKKdKbOPr7JsL5dYXpkK5XKYays3NxcZn53jsc+kaic0vtY5Ye7MbYvPEwcN9odxIrhbK5R9tfz30PBz7LDseHQvlrBb7TLLrY2PMYkNaFqxboqL751qw3qkFp7KOfGy8dHWUYw22gCPyAAAAQAolWsib2TvM7Idm9i0z+56Z/XczOyPJNgAAAAAkWMib2eslfUrSH7n78yRdKmlQ0j8n1QYAAACAuiSPyD9T0oi73ylJ7l6V9A1JzzGzgQTbAQAAANa8JAv5f5HUZ2a/I0lm1ivp1ZImJMWuPAIAAADQVGKFvLvvlvQySdeZ2T2SHpb0FElXuPvSXa4LAAAArEGJ3X7SzF4k6UuS/tDdv2BmRUmvlbQ3qTYAAAAA1CV5as3HJN3p7l+QJHefknSbpNvM7KLFC5vZTjPbY2Z7ZkdnE+wGAAAAcPpLspC/UNLibzW5X1JB0u8tXtjdd7n7dnffXhgoJNgNAAAA4PSXZCG/X9LmRa9taTxOJ9gOAAAAsOYlWch/VtJLzOxSSTKzrKQPqn7Hmn9NsB0AAABgzUvsYldJn5E0p/pda2YldUk6KOlF7n5vgu0AAAAAa15ihby7u6RdjX8AAAAAllCSR+TDqm6aqHS2nevKxm5PP1uJ/dqZsoVy2ZLH2purhHJWy4ZyudlYP7PTsTO0atlYrmMqth5ywa8lq+Xbb2+qvyPU1sGZ3lDuUCWWq3lsHYyVYheoZ0qx9jKxTUHVfCwXPekwo9g2VPbYNjta7grlJqfbn28lKTsZ+2CsFoqpNB1bgQ9P9odyVY/NLdVHu0O53uHYB1O8fzyU80Js3zfXF5tfyj2xeaKWi21H/cPtZ7r2T4Ta8kcPhXLZztiYzgbnXKvFxnRwU1BwKlMtH5tbqp2xjtY6Y2OsqyO2M+rKLd3XKSV5jjwAAACAZUIhDwAAAKQQhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApBCFPAAAAJBCFPIAAABAClHIAwAAAClEIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKZRb6Q5IUqWW1cHp3rZzNbdQe+MzhVAuOxeKKTdbi7U3VQrlPBf7+yw/kQ/lOkdj7WVLsfXXedRDucJobD1UOyL9jG1a9xTPCOU8uC1UPLbu9u4bCuX69sba6x2uhnLlrlh7lZ6OUO7HA5tDuZHZYig3PNofymlvrL2e/bFxpmBsSrE5adgGQzmvxMZLz0PB3L6pUE77HgrFsn3t72clqWtLdyg3czQ2D3omNmC6RtqfJzJHx0NtVSYmQrlsuRLKWWy3p+AUH1bLxdZdtTM4V3cG24tNLcrnYvuijIIrsKWfDQAAACB12irkzexNZjZiZlc1ec/M7ANm9gMz+46ZfdvMtifWUwAAAAC/0tL/e5nZoKR/knS3pHXHWeyDkl4v6RnuPmpmr5N0s5k91d33JtFZAAAAAHWtHpEvSrrK3a9s9qaZ9Up6n6RPu/uoJLn7DZIOS3pvAv0EAAAAsEBLR+TdfVjS8AkW2SGpW9J/LHr9u5JeFuoZAAAAgONK6mLX8xuPDy96/SFJW80seH0wAAAAgGaSKuR7Go+Lb9A4/zx27yoAAAAATSVVyE82HjsXvT7/fHpxwMx2mtkeM9tTHjvmbQAAAAAnkFQhf1/jcfG3oWyWtM/dj/lmI3ff5e7b3X17Rz8H7AEAAIB2JFXI75Y0I+mSRa8/S9JXEmoDAAAAQEMihby7T0j6a0nvMLN+STKz10gakvSRJNoAAAAA8Gst3X5SkszsRtULc0m6wsx2SPqEu9/UeO1DkmqSbjWzSUku6TK+DAoAAABIXsuFvLu/+iTvu6QPN/4BAAAAWEItF/JLqeam6XJH27nZfPsZSTLzUK4W/LSqeYu11xX7/aKsFstl52KfZ6YSa69rJNbRrkdnQznz9n8/q8Uu4K4WCqHcPeVNoZxqsbHZtS82Nvv3xlZ693Dszlbl/sU30mrN7PpYbnx9MZT7ZSkbypWPxMZL76HYei+Mxra96ByYnYvlyuXgWaPVWHuKTYHybKy9TDE2v3hfbHyWi7HPsxrbjMKqHYHPszP2NTeZ3t5QrtbXFcqVirGxUok1F1aODTHJY2Os3BOsr7qroVxXRzmUy2eDBU8LkrrYFQAAAMAyopAHAAAAUohCHgAAAEghCnkAAAAghSjkAQAAgBSikAcAAABSiEIeAAAASCEKeQAAACCFKOQBAACAFKKQBwAAAFKIQh4AAABIIQp5AAAAIIUo5AEAAIAUyq10ByRJJmUztbZjfR2zoebWF6dDub3rekO5yS3Rj7kYzMXMrov9XTc3aKGcVUMxdUzG2ivkg3+3ltsfm1bzUFNWDsWkcux3s1pw3bX/kUiSPBNrr1qIbUPl3mwoV+kOxWTdlVCuUIit+HIhH8sFp5bZwdg4K/cE29sU+zyHzhwL5dxj43OkNBjKHRnvCuV6BreGcrMDse1h9MJQTJVzZkK5WiU2zsbLnW1nOseHQm3lz+gP5Sa3xtb51JbY2Jw9I7ijDe4bPBecI4JzUrkvtq/NDM6Fcmd2j4dyvcF6tRUckQcAAABSqK1C3szeZGYjZnbVotc3mtlfmNm3zewWM/t/Zva/zewJifYWAAAAgKQWC3kzGzSzr0l6mqR1TRb5PUlvlPQqd3+BpN9s/OxbzGx9Up0FAAAAUNfqEfmipKvc/crjvH9Q0kfc/aAkuXtZ0sckbZb04lPuJQAAAIDHaOkKMncfljR8gve/0OTl+atcYldjAQAAADiupbzY9bmSxiXdtIRtAAAAAGvSkhTyZtYv6c8kvd3dR4+zzE4z22NmeypjsdtBAgAAAGtV4oW8mXVK+hdJu9z9huMt5+673H27u2/P9Qdv2gwAAACsUYkW8mZWkPSvkm519w8l+bMBAAAA/FpihbyZdal+Pvyvingze7yZvTqpNgAAAADUxb73fBEz65b0fyU9JOlmM9veeOvpkp4l6cYk2gEAAABQ13Ihb2Y3ShpqPL3CzHZI+oS73yTpnZJe0HjvdYui/3hqXQQAAACwWMuFvLsf9xQZd79a0tWJ9AgAAADASSVyas2pypirkKu0ndvSNRpqb10+drvLqbNj3211yAdDudn12VDOYzGVB6qhXKa3HMrVyrGOlvo7Qrm5/q5QLlvytjMzQxZqa+bc2Ge54cyxUC7qcL4/lPNsbN3lz4rd2Woutump/MTYHHHpuXtDuTMLsfV318CmWC4fy82NBr/fr6f9+V2Snnzuw6HcZUN3hXJRXy9eFMrdVdgSyo0fie26K/2xOX7r4w+GcpcM7Q3ljpSKodzuzgvazhzMxuaW/FhsLpvZ1P7+RJIq58ycfKEm1g9OhXKlSmz/PN4X+zxtKjamvRibWx6/8Ugod1HvI6Fc1Zfua5uW8guhAAAAACwRCnkAAAAghSjkAQAAgBSikAcAAABSiEIeAAAASCEKeQAAACCFKOQBAACAFKKQBwAAAFKIQh4AAABIIQp5AAAAIIUo5AEAAIAUopAHAAAAUohCHgAAAEih3Ep3QJLkkru1HevOlkLNbcyPh3JzG2If108ztVBubKgrlOvsqIRyW/rHYrnu0VBuqtIZyv1k3Zmh3OhQTyhn5fb/3s2umwu19fSzh0O5SwcfCOUyFhubdww+LpT70brNodz4VGys9PdPh3IvO+ueUO4Vg98P5QYys6Hc7YXzQrlccL0/2N8fyg0Vp0K5y4buCuVeWvx5KJc1D+U6rBrKRR2YjM1lZ/fF5vhXnvGDUO65XbF56aFq7PerBeqIW3V+qK2Z8Xwo17UhNic9ddMjodzjiiOhXHT/fHfvxlBuZKo7lOvpjNWBTxl8OJQ7v/NAKDcSHNOt4Ig8AAAAkEJtFfJm9iYzGzGzq06y3HVm5ma24xT6BgAAAOA4WirkzWzQzL4m6WmS1p1k2edLek0CfQMAAABwHK0ekS9KusrdrzzRQmZWlPRZSe8/1Y4BAAAAOL6Wrt5092FJrVyF91FJn5MUu1IMAAAAQEsSu9jVzF4o6WJJn0zqZwIAAABoLpHbT5pZj6TPSHqlu9fMTn4LKDPbKWmnJHVu7E2iGwAAAMCakdQR+Wsl/YO7t3xKjbvvcvft7r69oz92/1AAAABgrUrqC6FeKukiM/udxvOBxuMnzWxU0l+5+78n1BYAAACw5iVSyLv7Y77msXH/+FskvdPddyfRBgAAAIBf45tdAQAAgBRq+Yi8md0oaajx9IrGUfdPuPtNi5bbrWNPrXmRu1dPsa8AAAAAGlou5N391S0utyPcGwAAAAAtSepi11NSrmb1yNG+tnP3FjeG2juzMBbK1fzkt9Vspi8/F8plzWPtdc6GcucWj4RyZxdiuYlqIZQ7ErzLUakcG+7lcrbtzGD/VKitzV2xsXlGRywXtaVrNJR7pK/97VySxjoqodzGnslQbn1HbP1lVQvlJmr5UG6sGtsWZiodoVyl2v62IEnT5djv90hpIJR7oHNdKNeh2H8cHy4v7y2Uu4LbQ19+JpTrzsT2YdFzd/PB9TDQMd12prcY219OBffPG3pjc8umwnisvY6JUK6QKYdy6wvFUC5aX3XlYv3ssNgYG691hXLRuawVnCMPAAAApBCFPAAAAJBCFPIAAABAClHIAwAAAClEIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKUQhDwAAAKQQhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApJC5+0r3QWZ2SNK+47y9QdLhZewO0o3xglYxVtAOxgtaxVhBO040Xra6+9CJwquikD8RM9vj7ttXuh9IB8YLWsVYQTsYL2gVYwXtONXxwqk1AAAAQApRyAMAAAAplIZCftdKdwCpwnhBqxgraAfjBa1irKAdpzReVv058gAAAACOlYYj8gAAAAAWoZAHAAAAUohCHgAAAEghCnkAAAAghSjkAQAAgBT6/2VBC039Ajb/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IQh4AAABIIQp5AAAAIIUo5AEAAIAUopAHAAAAUii31h2YkzVvO1OuZkNtlWux3ESlI5QrDMfae3J7Xyg3W4mt1kK2GsqdPN0fytVqFspFzZTyodxksf31Pnoytu6iiuXYOt/RPRFrrxRrb3S2K5SbDq67qfHOUK5Yi72/XHAb6u4shnKDHdOh3FCtN5SremybHcjPxnJ9M6HcdKESyl02+EQoV6zGxstEYN+yHKXgZ2a1urrH/Cz40RCpCSYrhVBb49OxfUvHSCim2V3BdRDbJclqsZzaL+UkSbmZ2ErPlGK5yXKwngvu47OZ6AJdGkfkAQAAgBSikAcAAABSKLFTa8zslZIOSNrceN1uSR+R9MfuHvzPFgAAAADNJHmO/C2S3uvuH5AkM3uepC9L6pf03gTbAQAAADa8JE+tuVfSzXMP3P0eSbdL+vkE2wAAAACgBI/Iu/vVTSbPSIpdEg4AAABgUSt2sauZZSVdofopNwAAAAAStJJ3rXm7pGFJNzZ70swOmNlhMzs8OxK7hzIAAACwUa1IIW9mV0v6JUlXu3vTXwJx94Puvs/d93UOru6PYgAAAABpl3ghb2avkHSTpJe7+7GkXx8AAABAwoW8mb1a9SL+Fe7+WGPaATMbTLIdAAAAYKNL8gehfkLSQUlvlrTTzHY2nnqLpM9LGkmqLQAAAGCjS/IHoW6VlJd0W4KvCQAAAKCJJO8jH75fvLupWG2/K5GMJOUz1VAuI4/lihbK5bOxfg52zoRymwqx3FQptuqj7+85W4+GckPF3lAuYmyyM5S7eHA4lJsqxy4Y37fpSCh3Yqo/lOsIrvPRya5QTpP5UOxUKTZWpouxbaHmsX3EWCm2XB4/HVt/5ZHYuP5u75ZQbqYUW38eXJ492dW9g1q5kg3lKh7LZTO1UK6/p+k9K5bUlS+Hcjt7xkO5gXz7/Xz15n8NtRX11T2xbe+ivU+GctVa7AzqU+OxfWC5HBub5VOxfUt2Jratn9c9Gsp1ZCqh3Gwlti9rxUrefhIAAADACqGQBwAAAFKIQh4AAABIIQp5AAAAIIUo5AEAAIAUopAHAAAAUohCHgAAAEghCnkAAAAghSjkAQAAgBSikAcAAABSiEIeAAAASCEKeQAAACCFKOQBAACAFMqtdQckaWK2U3d85xlt53InCqH2HhvcHsrlRrOh3KX/94lQ7olTO0K5RwY3h3K12OJU58lYrhhs79OXbAvlctOx762ZorWd2fxALdTWvz/t0lDOYs3pzy7ZGcr13B9beZPBfvaf9FjuSDGUu2f4+0O5juH2x4okWWzXouM9m0K5wUdjy7PvaGx5Pvnc80K5bCkUUza2GvS3Q88N5awY27cMPBjLPbQpto+PLs9asFIYGYyNs6NbtoRymUK17czwBd2htr55bE8oN/BQKKajFwyGctlsbKdbmgh+QFdiY7rrZCzXeTo2xu49dUEoN9AxG8qNznaFcq3giDwAAACQQitSyJvZhWY2bmaHVuL1AQAAgI0u8ULezEzSRyS1/39cAAAAAFqyEufI/5Kkx1botQEAAAAo4SPyZnaxpOskvSPJ1wUAAADwVIkV8vNOqflVdx9L6nUBAAAAnCnJI/JvlfSIu382wdcEAAAA0EQi57Gb2dMk/bKk57eROSDpgCRlt2xKohsAAADAhpHUBak/Lqkk6VP1M2wkSZdLUuMWlEfc/Y3zA+5+UNJBSeq4+LzYHf0BAACADSqRQt7dPyTpQ/Onzd1D3t33J9EGAAAAgO/hl10BAACAFFqJH4S6tnE0/nJJl5vZITP7xaTbAQAAADayxH+0yd0/JuljSb8uAAAAgO9ZF7++mstXtWPHaNu5J20g1N75O0dCuSdH+0K5mUs2h3LjT4tdA1zbWgrlLFcL5co9naFcrRB7f9v3Dodyp8e7Q7niSPvvr/RENtRWaXNsHSgY27p9PJQbHdoSylklFFOmYkvP1MTsVD6UK+6IdbQ0EFvv3lUN5bI9sX6OW1coJ+sIxSafFlzx2eB9EILbw969T4RyJ8b6Q7nZ4dhnWLU7uFwmY9uRx4Z1eB9v2dgKrBXb7+jp2Z5QW5XxQijXPRTb1oeD7VULsWVpU7HyMFOKjbGuodhY6TsW27cceXJTKDfeNxvKVasrdyY758gDAAAAKUQhDwAAAKQQhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApBCFPAAAAJBCFPIAAABAClHIAwAAAClEIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKZRb6w5IUle2rMsGn1y19q7Y/kgo96/5PaHc2ObzQzntng3FLtw2EsrlMrVQ7ru+NZTLF6qh3JW7HgjlvjsQ6+e3CrvazsxsGwi1ld89Gcq5Wyh35Z7Ysvz7yWeHcuWZfCjn2UIol52NHavo2RZbD+VyNpTr74lt64VcJZQ72dMZylVjq0HZ/lIo1xdcLsVy7KPtot7TsfYqsfae7OgP5Wo5j+WC668WrBS8M7aPj342lKvtb+9msWUZFm0uGwtmgsuy1hHbd1Zju3hVC7FBZrG3Jw+uh2w2VicVcsGOtoAj8gAAAEAKJXpE3sy6Jb1b0osak3ZJ+qakn3H32CEZAAAAAGdIrJA3s4ykf5B0r6QXu7ub2fdLuk9SQRKFPAAAAJCQJI/Iv0HSMyRd5V4/+8jdv21mPyZpJsF2AAAAgA0vyUL+ZyXd6e7l+RPd/c4E2wAAAACgZC92vVzSkJn9jpl9yczuNrODZha71QsAAACARSVZyG+R9BZJo5JeIumlkvol3Wtmgwm2AwAAAGx4SRbyFUknJf2+1xUl/brqd665duHMZnbAzA6b2eHZ0di9ggEAAICNKslC/oiko3MXukqSux9RvcC/dOHM7n7Q3fe5+77OTbEfJwEAAAA2qiQL+dslPeV8eDPbpvoFtU8k2A4AAACw4SVZyN8kadDMXj9v2jsljUj6aILtAAAAABteYoW8u39X0pWS3mxm95rZXZLOl/Q8dz+WVDsAAAAAkr2PvNz9XtXvVgMAAABgBSVayEdVPKORUlfbubGp9jOS9MjUlljuVCx38YOTodzQ0b5Q7rFy7D9avGahXOFYIZSrdvnSMzXxjR2xnyYYnukO5aZG2h9n/eOhpjRVyYZy2WwtlNucmwrlujrLS8/URK0WG5vVzthYqeVj7WUzseWpfCzWlY8tz3JweWZng9v6RGy51EqxcZ0fqIZypeB2VKzFcqVqLJcpx9ZDLfjJbcF9vNVi25881l6lHFueNtl+bmiyJ9RWbjzWx47gXfoyUx2hXK0aXOfF4AkbmdhYyZRjufxEbN+p2WDdUo0tl87OUijXiiTPkQcAAACwSijkAQAAgBSikAcAAABSiEIeAAAASCEKeQAAACCFKOQBAACAFKKQBwAAAFKIQh4AAABIIQp5AAAAIIUo5AEAAIAUopAHAAAAUohCHgAAAEghCnkAAAAghXJr3QFJKteyOjHV33Zu5nRXqL37c9tDudpjPaGcH/5KKDfwQ1eEctMTnaFcphKKqf/RWihX6rVQ7t+27wrlvBz73tpxPN92pueJ2DIZHyuEctWOWHtjldg2VK3FlqXXYus8ymKLRaVKNpRzj72/cnB5ThVj4yU/FYqpMF4N5aLbXiEba28m46FczWP9NAu2lwvmOmK5SnDzi/bTumMfKvmOWK6caX9fnQmuO8/GctV8cN8ZXAfKxXaCwdakfKy9Sk9sn1vtiOUUXH+dhXIot7lrOpRrBUfkAQAAgBRKtJA3s7eZ2dfN7Etm9s9m9hdmtiPJNgAAAAAkWMib2RskfUjSf3X3F0t6oaRBSX+bVBsAAAAA6pI8Iv88ScPufq8kuXtV0hckvcjMNiXYDgAAALDhJVnI/52kfjN7jSSZWZ+kayRNSApeWgUAAACgmcQKeXc/JOlVkm42swckPS7pByRd6+6xy3wBAAAANJXY7SfN7GWSPiXpF9z942bWI+n1kh5Nqg0AAAAAdUmeWvN+Sfe6+8clyd2nJN0l6S4zu2zhzGZ2wMwOm9nhytjK3V8TAAAAOBclWcg/U9LDC6Y9LKlT0msXzuzuB919n7vvyw10J9gNAAAA4NyXZCF/RNLuBdP2NP5yyB0AAABIUJKF/IclXWVmL5QkM8tKerfqd6z5+wTbAQAAADa8xC52lfRHkoqq37VmVlKXpJOSXubuDybYDgAAALDhJVbIu7tLOtj4BwAAAGAFJXlEPiyfqWpH92TbueH+nlB7O/smQrkHe/pDueymgVCu1G+hXLnfQ7nsbCimclesn9XOWK6jK/azBNV87EyyWiHffluF2HtToRaKZQrVUK43WwzlOvKxdVDKZUO5cmfs/VU6Y+s8k4ltQ2ax9deRjb2/SY+NM6uEYsqWYu9Ptdh6yGVi7VUqsXF2Yjq2jx+b6grlctOx9VcLfnJnYsNMVg1+Fs3E1kOpEhsv+fH2c1NTnaG2MqXgthfchBRcB6oFc8F9YK4rtnMp9xRCuUpPbIxZ8DOzr6MUyu3qHg/lWpHkOfIAAAAAVgmFPAAAAJBCFPIAAABAClHIAwAAAClEIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKUQhDwAAAKQQhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApFBurTsgSV3Zsp418HjbuVItG2rvRVseDuWemOgL5co/cEkoN7G3Esr17pwM5aanOkK5Ce8K5WodHspdtv1kKDdVKYRyD421v1yKA7FNK9tZDeXMYsuyJgvlMrFYXKEWilVjQ1q5TKy9fDa2/jpz5VAuut6Dqz3OYw2Wa7FjTbMTsRX/aHFLKKeTsfa2HYmNs1JfcLsthWKyWDdVGsgHG4zFeo+1v/2NTsQ+v3pOxLa9zgeeCOX6Hr0wlCt3x7ahWuzjUsVtsZXXNRVrLz8Zq5M0ERubI9Ox8bK1K/hh1AKOyAMAAAAp1FYhb2ZvMrNhM7u+yXNmZu8ys/vM7J/M7Mtmti+xngIAAAD4Dy39/7+ZDUr6a0n3S9q8yGzvlvQGSc9191Ez+zlJt5vZD7r7o0l0FgAAAEBdq0fkeyRd7+7XNXvSzPok/YakP3T3UUly91skDUn69QT6CQAAAGCelo7Iu/sxScfOMst+Sd2Svrpg+lckvSrUMwAAAACLSupi172NvwtvPXNc0oVmFrz+GQAAAEAzSRXyvY2/xQXT5x53J9QOAAAAACVXyM/duHzhjTLnHk8vDJjZATM7bGaHp0cW1v8AAAAAziapQv6hxt/dC6bvlvSYu5/xMxTuftDd97n7vu7BlbtRPgAAAHAuSqqQPyRpRtLzF0y/QtJnEmoDAAAAQEMihby7T0j6XUlvM7MBSTKz10naJul9SbQBAAAA4Htauv2kJJnZraoX5pJ0rZntl/RBd7+tMe0GSTVJd5rZpCSX9HJ+DAoAAABIXsuFvLtfs8TzLuk9jX8AAAAAVlDLhfxKqnhGp8s9becmS7GLZE+W+0K5mZnY7fCtWgvmLJSr1YK5cuxMq2zwpkPR93dqpv2xIkmz5dhwz41n2850jHmorfHT0TEWW5ZfPrV36ZmaGDoV24ZUbH9ZLofFVoMqlVg/89lqKNeZrYRy3YVyKDcWXH3TO/KhXNfWyaVnauJZm0+EcqNTXaFctRrbBxa7Y8tlZmtsn1QcDMXC24PFhqcqvcEGo/2str/dzuyJbbOV7thY6RzZE8pNXhCrI7wQW5iej7XXvz22rU+WBkK58eFYHWibZkO5zT1n3ISxJds7Y8ulFUld7AoAAABgFVHIAwAAAClEIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKUQhDwAAAKQQhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApBCFPAAAAJBCFPIAAABACuXWugOSVKrm9Ojk5rZzQxM9ofYeKGwP5cqjHaFcdnoymOsO5YqzhVBOM9lQLDcTa86DXyOHx2PrvVaNNZibtLYz+elqqK3CSKyP2Zn2+yhJDw7GtoXC47ExZpVYP2sFD+XysU1PY8NdodxsZ2y5VKqxbW9qqjOU6yiGYmG1Wmy9V2qx5VIq5kO5ainWXnRcV2LDTKXB2P7Fc7HtKPr+vLMWyik4XmYq7a+/wvbpUFul3ti2PnY6Vkdoa/SDNrYss9nYWNncE1ue4/2xz/XiQGw9ZHOxsZmx2HKpBtdDKzgiDwAAAKRQW4W8mb3JzIbN7PoF07eb2W+Z2ZfN7A4z+5qZ/Y2ZPT3R3gIAAACQ1GIhb2aDZvY5ST8kqdk5MK+V9POSfsrdXyrpBY3XvsPMtiTVWQAAAAB1rR6R75F0vbtft8jzJyW9z91PSpK7lyW9X9JuST+27F4CAAAAeIqWLnZ192OSjp3l+Y83mTx3ZUbwyksAAAAAi1nJi11/VNK4pNtWsA0AAABgQ1qRQt7MBiT9pqS3uvvoIvMcMLPDZna4NBa8rRIAAACwQSVeyJtZh6S/k3TQ3W9ZbD53P+ju+9x9X2EgeDNdAAAAYINKtJA3s05Jfy/pTne/IcnXBgAAAPA9iRXyZtal+vnw/1HEm9klZnZNUm0AAAAAqGvprjVLMbNuSZ+WdFzS7Wa2r/HUcyRdIenWJNoBAAAAUNdyIW9mt0ra1nh4rZntl/RBd79N0tslvbTx3M8tiP7l8roIAAAAYKGWC3l3X/QUGXe/UdKNifQIAAAAwJISObVmucq1jJ6c7G07NzPREWrvSGYwlCsMZUO5zOhkKNdxelMoN5OLLZeukdglE73Ha6GcVT2UO7mt/bGyHL1H2+9nz7HYLVVnB3tCufxUbB3UCp2hXNfJ2LqrBfc4pU0WyllsschKsW3Bg1cdFUuxBePB91eL7SI0Oxh7g/09s6Hcpvx0KGeZ2ILxcj7WXmxzUDW2+cm7q6Gc5WId9enYZ58qse02MxsbZ7np9tubngr+ZuVssB4oxprTcGyjzRZj68CzsbFyPLMplLOJ2D4wW4z1szwZW+8nO2P1Rz4T22ZbsZI/CAUAAABghVDIAwAAAClEIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKUQhDwAAAKQQhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApBCFPAAAAJBCFPIAAABACuXWugOStKkwo9dc8K22c4/vGAi195y+x0K5Tw5eHso9UrwolHvWK+8P5a7c/J1Q7pHitlDuC0efEcpVa7HvkW+79O5QLm+VUO6TT1zeduaBoztCbT39/COh3Inx/lDuBTuPhXLfGdkeynXmYutgb/9QKPfdiS2h3Gu2PRzK5a0ayu3Kj4ZyJ8qbQrk7dj09lHtirC+U+/1n/l0ot7+rFsoN5qdDuW9N7A7lZiv5UG6s1BnK/diO2D6+O1sM5R6aju3PRstdodzxqdhn+/Hh9nP7L3ok1NZEuSOU+1r+olBu687xUG50vDuUy5iHcnt3ngrljnXF1vlEcVMoN7gjtjy3906Gcnu6x0K5VnBEHgAAAEihtgp5M3uTmQ2b2fVLzHezmbmZ7V9G3wAAAAAsoqVC3swGzexzkn5I0uYl5n2JpNcl0DcAAAAAi2j1iHyPpOvd/bqzzWRmPZI+LOmdy+0YAAAAgMW1dLGrux+T1MpVcb8n6aOSHlhOpwAAAACcXWIXu5rZlZKeLekPknpNAAAAAM0lcvtJM+uV9EeSftLda2bWSuaApAOSNLArdosqAAAAYKNK6oj8TZL+3N1bPqXG3Q+6+z5339c9WEioGwAAAMDGkNQPQr1C0mVm9prG402Nv39gZqOSfsfd/19CbQEAAAAbXiKFvLtfPP9x4/7xd0h6u7sfSqINAAAAAN/DL7sCAAAAKdTyEXkzu1XStsbDaxtH3T/o7rctmO+Qzjy15mXuXl1mXwEAAAA0tFzIu/s1Lc63P9wbAAAAAC1J6mLXZZmodOpLp/a2nRud6Qy1d2JmIJR74MT2UK53LBTTd4Zi7XVmy6Hc6WJPKDc5FVsPUUeKm0O57YXxUK4zW2k709EdWwe9+WIoV8jF/sNrppoP5SrVbCg3G0pJI6XYLWpHpmO5u4cuCeUmS6t7B66Rie5QrnQitq3nJ5a+tXAz1/e9ZumZmrh04FQod/t3nhHKaSy2PXjOY+0Fc3dmYtv7ju7YPnBotjeUm6nEludksSOUa+HO12foyZZCbQ3kZ0K5h7dNhnJ7+mKFhFlsjGWCuUt6h0O5aN3yjT2x+uO8gdjy3NIxFcr15aOffkvjHHkAAAAghSjkAQAAgBSikAcAAABSiEIeAAAASCEKeQAAACCFKOQBAACAFKKQBwAAAFKIQh4AAABIIQp5AAAAIIUo5AEAAIAUopAHAAAAUohCHgAAAEghCnkAAAAghczd17oPMrNTkh5b5OmtkoZWsTtIN8YLWsVYQTsYL2gVYwXtONt4udDdt50tvC4K+bMxs8Puvm+t+4F0YLygVYwVtIPxglYxVtCO5Y4XTq0BAAAAUohCHgAAAEihNBTyB9e6A0gVxgtaxVhBOxgvaBVjBe1Y1nhZ9+fIAwAAADhTGo7IAwAAAFiAQh4AAABIIQp5AAAAIIUo5AEAAIAUopAHAAAAUuj/AxE9pP+oMkOZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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EIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKUQhDwAAAKQQhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApFDhcHdAkna0l+tna0/OO7d5e3WsQfNQbOKsLaFc4z0TQ7mKM7aGcnPr1oVy962ZHspt+/3kUG7LvKZQ7viJG0O57tbYcD959ot5Z564/dhQW/WviX13270ylFu5bkIoV7kqE8qd8Rd/COV2tJeHco//fmYod94Fj4RyNy+fE8r9/fxfh3JfuvctoVxTc2ko19FUEsoVtMb2GXWN6Qrl2ibGcmfWrwnl7lsyO5Q75sznQ7klG48M5d51xPJQ7ntbXxPKnT4p/3WnJN289qRQLvNiWd6Z4j0WaqtqRnMod+ak2Hd+28PzQzl7qSKUG/t8eyi3c2ZsHbF13KRQ7qgFq0O5wysaQ7m7Vh4TylljcSg3FOyRBwAAAFKIQh4AAABIocQOrTGzN0haKGlc7n3LJf1A0r+6e+xYFgAAAAB9SvIY+RskfcXdvyFJZnaqpPskVUn6SoLtAAAAAKNekofWPCrpun1P3P0RSXdK+mCCbQAAAABQgnvk3f38PibvkXTwTtUFAAAARqmDdrKrmWUkzVP2kBsAAAAACTqYV635uKTtkq7u60UzW2hmS81saUfTnoPYDQAAAOCV56AU8mZ2vqSPSjrf3dv6msfdF7l7g7s3FFXnfxMHAAAAYDRLvJA3s/MkXSvpHHeP3aYSAAAAwIASLeTN7E3KFvHnufvq3LSFZlaTZDsAAADAaJfkDaEukLRI0kckTTSzibmXLpF0m6SdSbUFAAAAjHZJ3hDqRklFkm5J8D0BAAAA9MHcfbj7oJJpU3ziFX+Td650Y+x3SGZOUyj3sZmLQ7lbNp8Yyr24tTaU27s9dvJwwZiOUM67LZSbefimUO6ZNRMHn6kPFVV9nnc9qOMP25h35sGnjg61VVDWGcpNrmsM5dZvHRvKaUtJKFY4uTWUa99ZGsoVjY1953fN/9dQbsF9l4VymVWxv6+zLLb+7i7tDuV+eN73Q7mPPvb+UO41014M5To9dtTok9tj65bWe+tCuZYjY8v7hKk7QrmobU+PD+U8tmlQydTmUO6k+vxPy3t8c32orQKLLXs15bGr9O1sjW3XW1pi65aCTFcoZ8HvvL0leMuhvbFl3cpjy95hdbtCuddMfCGU++bcGx9z94aB5jmYl58EAAAAcJBQyAMAAAApRCEPAAAApBCFPAAAAJBCFPIAAABAClHIAwAAAClEIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKUQhDwAAAKQQhTwAAACQQhTyAAAAQAqZuw93H1Q+Y5If+88fzjvX9ExtqL3u8u5QrvrpTCjXOiH2GXcXh2KqXGuhXOmO2OdiXaGYyre0h3JNR5aEcmdf9mAo94sHT807U1DVEWqr5NmyUK4g9lEq0xbL7Tou9vcVNMeWoZJtsX0OhXtCMY19sTOUax0f+/sOe2B7KLfmLeNDufErYt/furMLQ7n6JbGVxLqzg+uyzbHvoXRHbF1d/95VodyLtx8ZykW3DWOfi63jmyfHlr+u2Kpa7cfEFtwZ9Vvyzrxt4vJQW9fc86ZQ7lWffTaUe/prx4RyysTGdE3d7lCuqak8lOtujy2zk26LrZM2vj62ji+qjG1sa6tbQrlH3nDNY+7eMNA87JEHAAAAUuigFPJmNs3MdpnZ4oPx/gAAAMBol3ghb2Ym6QeSggdcAAAAABhM7OCigX1U0uqD9N4AAAAAlPAeeTM7UtLlkj6Z5PsCAAAAeLnECvkeh9R8wt2bknpfAAAAAPtLco/8pZJecvdbE3xPAAAAAH1I5Dh2M5su6WOSTssjs1DSQkkqqqtKohsAAADAqJHUCalvltQu6ebsETaSpDmSlLsE5Rp3/0DPgLsvkrRIyt4QKqF+AAAAAKNCIoW8u39L0rd6Ttt3DXl3X5BEGwAAAAD+jDu7AgAAACl0MG4IdXFub/wcSXPMbLGZ/WXS7QAAAACjWeI3bXL3H0n6UdLvCwAAAODPRsTdV8sLOzSnbkPeucuO+0movbffdWkoV/1CdyhX+8euUO6FC2P/YdJ6RHsoN2Py+lCuwGLnKi9fPzmUq6rYHco9uOXIUK5yVf6LSWFLbNFqmhkbKzVPBMfK65tDOe0uCcW6K2J/X/FLsb+vbXxsbG6/qCWUKy/pCOW2vi0U07y6x0O5O46aFcodc8mDodyW/zs/lJs+e20oN/XUnaHc3Y/ODuXOqNwWyj07e0IoV/R0eSjXVWyDz9SH8s2x5ejvP/fjUO6zK94eyr30wNS8Mz86qSzUVuULsXV8d8ueUK5+6vZQrjgTW+e2d2VCuZpJsX5uuH9KKFf95I5Q7ojLN4dyDz49PZRrv6silBsKjpEHAAAAUohCHgAAAEghCnkAAAAghSjkAQAAgBSikAcAAABSiEIeAAAASCEKeQAAACCFKOQBAACAFKKQBwAAAFKIQh4AAABIIQp5AAAAIIUo5AEAAIAUopAHAAAAUqhwuDsgSS2NZXrkphPyzv3+os2h9mxPJpRb8wYL5eqWBj9m6wjFSkpiuQ3N1aHc5h1VoZx77POsr9wVyj3+9LRQrjwwXKpfin0Hnee0hHK7aotDuem1O0K5F5+bGsq95433h3L/0T0vlKt7KLas+0mx72/7izWx9kq7Q7mHO2N/X1H13lCu49yGUO74i/4Yyt234thQrmZ2ayhXOim2/N363KxQrnNPbNtQ3BmKae/Y2Dr3sGVtodzHH/g/oZx2F4ViM+atzTvz5olPhNr6l/FvDOW2X3hyKFdbvCaUe2754aHc+OWxsdLS7aFcWWUs110eGytvGr8ilFs9JbaO31QSq6/03cFnYY88AAAAkEKJ7pE3s3JJn5d0Rm7SJElPSHqvu7cn2RYAAAAwmiVWyJtZgaTfSHpU0mvd3c1stqRlkoolUcgDAAAACUlyj/xFko6VdK67uyS5+5Nm9npJexJsBwAAABj1kizk/0LSPe7+srPE3P2eBNsAAAAAoGRPdp0jaZuZfdHM7jWzB8xskZlNTrANAAAAAEq2kK+VdImkRklnSjpLUpWkR80sdr0eAAAAAH1KspDvlLRF0j951l5Jn1b2yjUX957ZzBaa2VIzW9rVGrt2LwAAADBaJVnIr5G0dt+JrpLk7muULfBn9J7Z3Re5e4O7N2TKKxLsBgAAAPDKl2Qhf6eklx0Pb2Z1yp5QuynBdgAAAIBRL8lC/lpJNWb2/h7TrpC0U9L1CbYDAAAAjHqJFfLu/qKksyV9xMweNbMlkg6XdKq7r0uqHQAAAADJXkde7v6oslerAQAAAHAQJVrIR3WXdattTmveufV7x4baKxwfu9HsudOfDeXu2npyKFe2qjiU61gbyzXvCMXUdXRXKFdaH7ta0dSKWEfrT24K5R4/oj7vzK7GCaG2mjdXhnKvOfGZUO6BF6eHcnV/9MFn6sPdJ+133vuQHHV07DSbxmWx21hkLPb3eXEsV7Qttipu3lsVyk1cYqFcy4RY7h3j/xDK3adjQ7m2rqJQrqykPZTbsaM6lKt4IdbPio2xcbb11O5QrrUhlsusKQvlKl+1M5R766TH8858d+UZobYmLYlt9wo6Yt/di1tqQ7lMff61lSRtKS8N5cY/kgnlGufvDeXKtpeHcnfsnBXKbdoaW9bdY+vOoUjyGHkAAAAAhwiFPAAAAJBCFPIAAABAClHIAwAAAClEIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKUQhDwAAAKQQhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApFDhcHcgy9TVmf9vit/cf3KotUyrhXJ3rDwplJt2R3Mo9+LbKkK5rsruUK5umYdybeMzoZxtrArl7nr0lFCudWpXKFeyJf+/r7Ay1JTGrIwtkk9Mqg/lqqtaQrnW97SFcuMyse/gLZNWhHL/vWZCKLf1/rpQruiE2OfZYcWh3DlzngrlHlp7YihXsiO2jvjbh98dykV3Na3eWRPKTaraFco1zFkbyt2/am4oV9AR+x68OLZtKCtrD+Um/joU0/MTYtu+61+Yl3emeX1sO9Q2LzY4u8pi393cyRtCuRXrY9uGoh2x7XrdvZtCuV3TJ4Zyxbs6QrkXmsaHclVVe0K55pbSUG4o2CMPAAAApFCihbyZXWZmy83sXjN72Mx+aGaxXWIAAAAA+pVYIW9mF0n6lqS/cvfXSpovqUbSL5NqAwAAAEBWknvkT5W03d0flSR375J0u6QzzGxsgu0AAAAAo16ShfyvJFWZ2VslyczGSHq3pN2SYmeAAQAAAOhTYoW8uy+W9EZJ15nZSkkbJB0v6WJ3j51WDAAAAKBPiV1+0sxeJ+lmSR9291+YWYWk90talVQbAAAAALKSPLTm65IedfdfSJK7t0haImmJmc3qPbOZLTSzpWa2tGsXR94AAAAA+UiykJ8p6YVe016QVCrpPb1ndvdF7t7g7g2ZqtjNHwAAAIDRKslCfo2k3rcQm5x7bE2wHQAAAGDUS7KQ/46kc81sviSZWUbS55W9Ys1/JdgOAAAAMOoldrKrpG9L2qvsVWvaJJVJ2iLpde7+XILtAAAAAKNeYoW8u7ukRbl/AAAAAA6iJPfIh9WUtuqdxy3LO3fzyuND7R1XvzGUW/bUkaFcwYrnQ7nuS48N5TIZD+V2TykP5bqLY+11lQZzZd2hnFW1h3LdO0rzzjTP6Ay1VV4bO52keW11KOfBsaKCWK5zVU0od+vrY5+nLBYrmbc9lPvarJtDuW+uOjeUu/PZ2DoienmB2hXNodyO42Mtzp3b+/oJQ7PsmSNCuV3bYv1cWTQhlKsI3mFl1xGxo2KvWfDTUO76dWeEcluOmxrKmcXW1Tu2jQk0FluXFe6JrVyqY+WAnt5yTChXFGtOrUfEBufKfxwbyo2p3BnKNW4cF8u9UBfKWUVsWzR+/O5QbiiSPEYeAAAAwCFCIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKUQhDwAAAKQQhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApBCFPAAAAJBCFPIAAABAClHIAwAAAClk7j7cfVDF+MN91ps+kXeudYKF2vv4X94Uyr267KVQ7lMXfDiUW/MPsd9Zx9ZtCeWqi9tCuYduPT6UK9keimn3Ud2hXHdZLFe2tjDvTPVLsbbm/+0jodxd644J5UqLO0K5qIzF1jcVRe2x9i4pCuVWvXdSKNdVGvv7znj9E6Hc0k2Hh3Kz6zaFcuu/MiOUW/uezlBOTbHvb+yTsXXnzjldoVymKjY+62p2h3Ld/3lYKLdzdiimGd9ZG8p5ZVksV5z/OleSXnpHTd6ZSfPXh9pa9VLsO6h9JPa3ZWJDTC2TYnVSy4xYg6fPej6Ue/rHrwrlCveEYmqMbTJVPXdbKPeRo5aEcn89897H3L1hoHnYIw8AAACkUF6FvJl9yMy2m9mVfbxmZvY5M1tmZveb2X1mNuCvCAAAAAAxQ/o/HjOrkfQzSc9KGtfPbJ+XdJGkU9y90cwulHSnmZ3o7quS6CwAAACArKHuka+QdKW7X97Xi2Y2RtJnJP2LuzdKkrvfIGmbpE8n0E8AAAAAPQxpj7y7r5O0boBZFkgql/RQr+kPSnpjqGcAAAAA+pXUya5H5x439Jq+XtI0MytOqB0AAAAASq6Qr8w97u01fd/z8oTaAQAAAKDkCvnm3GNJr+n7nrf2DpjZQjNbamZLO9taEuoGAAAAMDokVcjvuwNAfa/p9ZJWu/t+dxZw90Xu3uDuDYWlFQl1AwAAABgdkirkF0vaI+m0XtPnSfpdQm0AAAAAyEmkkHf33ZK+KukyM6uWJDN7n6Q6Sdck0QYAAACAPxvS5SclycxuVLYwl6SLzWyBpG+6+y25aVdJ6pZ0j5k1S3JJ53AzKAAAACB5Qy7k3f3dg7zukr6U+wcAAADgIBpyIX8wZWrbNfbitXnntq6dEGrvgaajB5+pD3fueFUoV7CtKZSru35yKLf8/KNCuVvf8s1Q7oLZR4Ryxb+pHHymPkx4OBTTxrM9lOsqyz/XNi521FpX8Gi386c+Fcr98pm5oVxJaUco1/ZcdShX82QoJp0ei7XP2hPKFRZ1hnLdsljOY7kHn5keyr3qpdi6rKwitqnpKI59nlXv2BXK7VxVN/hMfah4OHaF5c0nxZb3gje0hXIVFbHchm/H1tWN22O5WVfkXw9I0vgVVXln1h8zNtTW3JmrQrkndsTqj6763lf3HpqCLbHb+GTKukK5J7ZMCuXGbO8O5ZqOyIRy7ZNjn+eOxtiYvu5HbwvlpHsHnSOpk10BAAAAHEIU8gAAAEAKUcgDAAAAKUQhDwAAAKQQhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApBCFPAAAAJBCFPIAAABAClHIAwAAAClEIQ8AAACkEIU8AAAAkEKFw90BSerszmhLc+Uha2/Zlsmh3K7mslCu68qiUK50XSw37X/aQ7k37/pUKFc7d0sot7mhPJTLtMZ+f77/1IdCuf+85/S8M60WakrLPz83lNtbnQnlCmbGPsur3vfvodyXb7kolKt5ujmU2/ul3aFcW2tsWZ85PrYsPHD7caFc8XFNodzkyTtCudYjamO5zbEFoqhmbyi3q60klDvsvtgmsbilK5TrLikN5a76q9jy9/UXzg3lzpr4XCj3090Nodza900P5boCX3vH7uJQW08tPjqUO/qrj4dyz/7/maFcV21HKDfviFWh3IlV60K5778j/+2sJE36eez76yqNrSMyJzeGcpPPi20bnv7q4POwRx4AAABIobwKeTP7kJltN7Mre00/zMz+wczuM7O7zewxM/u5mR2TaG8BAAAASBpiIW9mNWb2e0lzJY3rY5b3SPqgpHe6+1mSXp1777vNLPZ/sQAAAAD6NdQ98hWSrnT3y/t5fYuka9x9iyS5e4ekr0uql/T6A+4lAAAAgJcZ0pk97r5OUr9nMLj7L/qYvCf3GDsTAQAAAEC/DubJrq+RtEvSLQexDQAAAGBUOiiFvJlVS/qspEvdvbGfeRaa2VIzW9rZ1HIwugEAAAC8YiVeyJtZiaRfSVrk7jf0N5+7L3L3BndvKKyuSLobAAAAwCtaooW8mZVK+i9J97j7VUm+NwAAAIA/S6yQN7MyZY+H/1MRb2ZHmdm7k2oDAAAAQFbsftS9mFm5pF9LWi/pTjPbd1/mkyXNk3RjEu0AAAAAyBpyIW9mN0qqyz292MwWSPqmu98i6eOSzsq9dmGv6I8PrIsAAAAAehtyIe/u/R4i4+5XS7o6kR4BAAAAGFQih9YcqK6OAjVuGpN3blx9U6i95hW1oVzN86GY2motlKs+Z1Mot8knhnJVL3ooV3rvuFBuakF3KLd+QezUjl+unBPKKZP/59JZFmtq06tji2T1c7H2KtfGvvP/t+ztoVx1Vyim3UfGrmy1aUPsfnSlL5SEck/OiY3Nrul7Bp+pDy27SkO56eO2h3KtO/NfT0vSvBPXhHJvHb88lPvZplNDuZXTYtuGcc+EYipsjeW+8ORbQrk9T48N5X45Pbb8nTi13/tIDmh59+Gh3GG35b+8tx4VakpFx8fqj5Zzj4s12B1ceXbE1klL75kZyj18+BGhXOGa2LrMg3VEYcPOUG7CmOZQ7qSataHc7UOY52DeEAoAAADAQUIhDwAAAKQQhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApBCFPAAAAJBCFPIAAABAClHIAwAAAClEIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKVQ43B2QpExRl2om7co7d8Wxt4ba+9TW94RyO4/oCuVsbWkoN3/cxlDu3uMrQrmOkzpDufVPjQ3lauduCeXOqInlFv/hVaHcgoan8s7cd//sUFsFs3aHcmNPbwzlnl8xJZTrbi4J5Zre3BzKFRfHxma1eSjXeKSFckXPVYVyFTMbQ7k9bUWhXEPN6lDup2dOD+WmFbaHct9d89pQbk9H7HM5+4LHQrm7u04O5V59wYpQ7i21y0O5Tz9zUSiXWTYmlHt8VqzEuGTufaHcdxvPzjtTWNERamv2YZtCuYffelQoV7ipOJTrntIWynVOidU7Z814LpR7YtykUG7d+LGh3ITi2Pe+6tHYNnPd9LGhnHTToHOwRx4AAABIobwKeTP7kJltN7MrB5nvOjNzM1twAH0DAAAA0I8hFfJmVmNmv5c0V9K4QeY9U9L7EugbAAAAgH4MdY98haQr3f3ygWYyswpJ35F0xYF2DAAAAED/hnQmiruvk7RuCLN+TdL1klYeSKcAAAAADCyxk13N7GxJJ0j656TeEwAAAEDfErn8pJlVSvq2pLe5e7fZ4JduM7OFkhZKUlFd7JJtAAAAwGiV1B75ayV9392HfEiNuy9y9wZ3byisLk+oGwAAAMDokNQNoc6TNMvM3pp7Pjb3+M9m1ijpi+5+V0JtAQAAAKNeIoW8ux/Z83nu+vF3S/q4uy9Oog0AAAAAf8adXQEAAIAUGvIeeTO7UVJd7unFub3u33T3W3rNt1j7H1rzOnfvOsC+AgAAAMgZciHv7u8e4nwLwr0BAAAAMCRJnew6LP7xqTeFctaaCeW6C7tDOVXEcvevPSqU6+4e/PKffRlTujeU2z0m9vdVFcfa29pWGcrVTGkK5Ta0VOed8eBBa20bKkK5W+b9MJSb//MBb9bcr6ZjY6uOyVO3hHL/dPQvQrkrVr09lGt5qiaUa3jtM6Fcc2dJKPfHVfWh3H9956xQbuzbN4Vydz9/TCjX1VQUyhXsjS2AF878eSj320lzQrlHbjohlPvD6VNCuYK9sW3Dlz/876HcJ397YSj3mdrnQrnv1Z6Rd8bXl4XaekxTQznbHVt3dh7WEcqde0xsnfRs44RQ7p77jg/l6k+IrVtmHzuUe5Xub3PzmFAu0x6Kqa6qOZQbyqUgOUYeAAAASCEKeQAAACCFKOQBAACAFKKQBwAAAFKIQh4AAABIIQp5AAAAIIUo5AEAAIAUopAHAAAAUohCHgAAAEghCnkAAAAghSjkAQAAgBSikAcAAABSiEIeAAAASCFz9+Hug8xsq6TV/bw8XtK2Q9gdpBvjBUPFWEE+GC8YKsYK8jHQeJnm7nUDhUdEIT8QM1vq7g3D3Q+kA+MFQ8VYQT4YLxgqxgrycaDjhUNrAAAAgBSikAcAAABSKA2F/KLh7gBShfGCoWKsIB+MFwwVYwX5OKDxMuKPkQcAAACwvzTskQcAAADQC4U8AAAAkEIU8gAAAEAKUcgDAAAAKUQhDwAAAKTQ/wJRrszqrwKMIQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for r in range(10, 501, 10):\n",
    "    u1, s1, vh1 = u[::, :r], np.diag(s[:r]), vh[:r, ::]\n",
    "    w = np.linalg.lstsq(s1, u1.T@a)[0]\n",
    "    a1 = vh1.T@w\n",
    "    A1 = vec2mat(a1, (16, 51))\n",
    "    plt.matshow(A1)\n",
    "    plt.title(\"r = {}\".format(r))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "id": "4781d689",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/h9/ll8t8frd1r575llt96l1glhm0000gn/T/ipykernel_43808/696818349.py:3: FutureWarning: `rcond` parameter will change to the default of machine precision times ``max(M, N)`` where M and N are the input matrix dimensions.\n",
      "To use the future default and silence this warning we advise to pass `rcond=None`, to keep using the old, explicitly pass `rcond=-1`.\n",
      "  w = np.linalg.lstsq(s1, u1.T@a)[0]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'r = 360')"
      ]
     },
     "execution_count": 192,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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fyv1Z9R+Ecm29paFcXUVXKHdBzYZQruXK8oIzLzZNDLXVWHXYeeHDsr6jMZT7j6KzQ7m62tiVpkrPaw3lZtQ2h3JP/XpOKNc2P/+8/eH58eYzQ7m+vtg+lf09h10QbFh2d9WEcqfX7grlfhlcDk211aGcWSimBRdsCuVOrdofyr2qenMoF/3u8/5QTG17Y+Pso9uvjTVY3nfseYZwSuWBgjPbW+tCbf16f+x7fV7d3lCur7UklNvXWRvKNVfElrn6YivfxAktodwT62eFcv2dsfL3mY65odxXu64J5aS/PuYcSR5aAwAAAOAkoZAHAAAAUohCHgAAAEghCnkAAAAghSjkAQAAgBSikAcAAABSiEIeAAAASCEKeQAAACCFKOQBAACAFKKQBwAAAFKIQh4AAABIIQp5AAAAIIUo5AEAAIAUKh7pDkhSU0+VvrX9woJz7hZqb39nZShXPqEzlHtk99xQrqq0J5R745m/DuXurjsrlOtXbDns2V8bypVXxD6XH+x+dSjXeaik4Ezz5oZQW4su2BrK7e6MfZa3b78olOtoiq1Dl5y1NpQ7tzb2ufyqekYo97cz7w3l/nHDb4dyxZn+UO6h9fNCuahrJsa2LSV13aFcXXVXKNfWWRbKdffFvhJ/uvb0UG78mW2h3ITiWO5vzrsvlLu/Kfb37e6IbZd0KLaP8ZHtswvO9PbGlnm/h2KqKYmN6aLO2GfSsCoTytVsjX2vZ7oOhXLrf39cKBcsP3TDpfeHclu6Y/3c1lEfyq0fxjzskQcAAABSiEIeAAAASKHEDq0xs9dLWippXO59KyXdLumr7h78RygAAAAAQ0nyGPk7JH3a3T8nSWZ2gaRHJdVK+nSC7QAAAABjXpKH1jwl6baBJ+7+pKQHJL07wTYAAAAAKME98u5+zRCTOyWVJtUGAAAAgKwTdrKrmWUkXaTsITcAAAAAEnQir1rzIUlNkm4Z6kUzW2pmK8xsRe/B2PXZAQAAgLHqhBTyZnaNpPdLusbdh7z7gbsvc/dF7r6opK7iRHQDAAAAeMVKvJA3s6sl3SrpSnfflvT7AwAAAEi4kDezNyhbxF/t7ptz05aaWex+9QAAAACGlOQNod4saZmk90qabGaTcy+9T9J9kpqTagsAAAAY65K8IdSdkkok3ZXgewIAAAAYQpLXkQ9fL76vv0hNHVUF53oOZULtTa5pDeUumrwxlLv71+eEchU1Q54nfEyVk3tCuVPr9odyzV2VodyMibH2plUdCOUW1sRO2VjeNL/gTFG3hdoaX9Ieym1onRDKdbaXhXKZ1ti6N6msJZTb2NkYyhUVeShXbr2hXGNFWyjX2xf7PL0/Ns6qqmPbll6P9fOCGVtCuTOqd4Zyq9qmhHJ7O6tDudqajlDumQPTQ7ldbTWh3LiKWD9Xb4p9ntUNsfYyVcH1r7rw7edbpjwXamtT1/hQbnd3bSh39qtj9ce+0wuvrSTpYE9JKNfSGqsHlsx5MZRbvmpBKPfqik2h3L27zwzlTqQTeflJAAAAACcIhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApBCFPAAAAJBCFPIAAABAClHIAwAAAClEIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKUQhDwAAAKSQuftI90FTz6z3P/326wrOffPZC2MNHigNxbysP5Q75T4L5ToaY7+zeqtj7dWvOxTKVezuCuX2LqwK5dqnh2JafPnKUG5nR13BmfW/nhZqSxZbH+tXxcZKx5TYWKnYG4qpe0lLLPhMbShWtSP2ebaeGvtcxr0Y20bUrm0N5VpnV4dy/SWxv6/uxVg/m8+KLb+9i2Ofp2p7Q7GSrWWx9ua2x3JrY9vA8r2x5adgrLgjth7NvG5dKFcU3A5ua60vODOhMrbs1jx+aih36t0dodza98TqllNP3RPKXdK4IZR7ZPfcUG7r5gmh3MwfhmKq/ui2UG7Vlimh3AVzNoVyd1687Ffuvuho87BHHgAAAEihE1LIm9lMM2sxs+Un4v0BAACAsS7xQt7MTNLtkvqSfm8AAAAAWcUn4D3fL2nzCXpvAAAAAEp4j7yZzZL0QUl/leT7AgAAAHi5xAr5QYfU/KW7H0zqfQEAAAAcLsk98h+QtNHdf5LgewIAAAAYQiLHsZvZHEl/LmlxAZmlkpZKUt2UiiS6AQAAAIwZSZ2Q+kZJPZJ+lD3CRpK0UJJyl6Dc4u5/NDjg7sskLZOyN4RKqB8AAADAmJBIIe/uX5T0xcHTBq4h7+5LkmgDAAAAwG9wZ1cAAAAghU7EDaGuz+2NXyhpoZktN7M/SbodAAAAYCxL/KZN7v4NSd9I+n0BAAAA/Maouftqv+zYM+VZOGtrqK01+yaGcj09mVCuZXp1KNexuCOUq6nuDOW6Lu8P5dr7C192kvTbM34Vyt2z9cxQbk1zbLnv3l1XcMYysfO3K7bHxlhP4V2UJM1fsiGUe2HljFCusaI7lOvsCcV0cH4sN3vx5lDOL42tC6u3TArlbjj/Z6Hc7asvCuUabowtv9aZsc9lxvzdodxVk18M5X48MbZtuW3Bt0O5t/e+L5Tr8vJQrnZjKKbKvX2hXMeh0lBufu2eUC7UVnWsrVXVsW1g5rl1sVxlbGO2v70ylDtQH8tVl8a2EdYbO0CkYnvstkUHuoJXSzxYEoqt2BwbL8PBMfIAAABAClHIAwAAAClEIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKUQhDwAAAKQQhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApBCFPAAAAJBCFPIAAABAChWPdAckaX9Xlf77xfMKzl05Z02ovU3F40K5jpbyUK5u06FQruXs2OLxKgvlZtQ2h3JRfR77HTm+sj2UW/fM9FCuuK/wz/NQfWyZd8zqD+VqJraFcjMqY8t8ZdepoZx7bGy2T+8L5cr2Z0K56VUHQrnu/lh7zRMrQrmyot5QrmNPVSh3aHxsm1R+QVMolymKrQ8P750XysVGp/SLzjmhnDeXhnKZ7lhP22KbQHXXx5b7lrVTQ7kdk2pDuSk1rQVnyopi22qvim2T/LRTQ7lFp24O5X750uxQ7r5Vrw7lSg/GxmZlKCUVHYzVAwvH7wnlJlYWPsYk6WBPbBu/cRjzsEceAAAASKFE98ibWaWkj0m6NDdpiqQXJP2+u/ck2RYAAAAwliVWyJtZkaQfS3pK0mvd3c3sTEnPSCqVRCEPAAAAJCTJPfLvkrRA0lXu7pLk7ivN7LckdSbYDgAAADDmJVnI/6Gkh939ZWdfufvDCbYBAAAAQMme7LpQ0j4z+6SZPWJmj5vZMjOblmAbAAAAAJRsIT9e0vskHZD0OkmXSaqV9JSZNSTYDgAAADDmJVnIH5K0R9K/eFa3pI8oe+Wa6/NnNrOlZrbCzFb0tcSuAwoAAACMVUkW8lskbR040VWS3H2LsgX+YXfncPdl7r7I3RdlamM3JwEAAADGqiQL+Qckvex4eDNrVPaE2l0JtgMAAACMeUkW8rdKajCzdw6adqOkZklfT7AdAAAAYMxLrJB39w2SLpf0XjN7yswekzRd0gXuvi2pdgAAAAAkex15uftTyl6tBgAAAMAJlGghH2XmKinpKzh3Yc26UHs1xV2h3L6J1aHcC/Vnh3JltbEb4h5sjp08/PSWulAu+u86z9ZPD+VuveDOUO7f9LpQbndrTcGZA3tjY6W8rjuUmztuXyi3ryd4ovnEWD8XNm4P5daW9oRymc+MD+UeaIits17WH8o1Tm8O5X6698xQrnpDbNPfPS4U07Uzng7l7t16eijX0VUWyl07e2Uo92jzYddzGJZMZ2zjWdIWiqn74tZQrr84Nq5LVteGcm29wdzcwrdLzxyIfQ9ZW2wd2n927G/72JRvhXJbW38vlGtZPTmUq9zpx55pCG2nWCjXNy72ec6sWBXKXVq7JpT7jx0XhXLDkeQx8gAAAABOEgp5AAAAIIUo5AEAAIAUopAHAAAAUohCHgAAAEghCnkAAAAghSjkAQAAgBSikAcAAABSiEIeAAAASCEKeQAAACCFKOQBAACAFKKQBwAAAFKIQh4AAABIoeKR7oAk9Xdn1L2xpuDcZ3R1qL2+vtjvF3cL5ebcvTqUOzhvQShX2RbrZ+2m/lAuqmJPbDl8adLlodz+9spQ7uC2uoIz9SszobZaLu4L5Xa214Zy+5oLX+8kqbyiJ5TrD65Db5r6fCh3t10Wyqkh9vdNmtASyt04755Q7ktbrgjlMl2hmBRbfMpYbNvS1lEeypWUxNaj19SuCeU+/NLbQrlMdyim8iYP5Wpq20O5yVWxcb3yucK3nZJ0qDoU06TK1oIzq/dODLVVtzr2/VXWEhubPz64MJSrK4ut7LsnxtbZvpLY59LTEKw/MrGN0n9vWBTKzW5oCuVe3DQllBsO9sgDAAAAKZRoIW9mN5jZs2b2iJn90sz+3cwmJdkGAAAAgAQLeTN7l6QvSvpTd3+tpIslNUj6XlJtAAAAAMhKco/8BZKa3P0pSXL3Pkk/k3SpmdUn2A4AAAAw5iVZyH9fUq2ZvUmSzKxG0tsktUqKnWEDAAAAYEiJFfLuvlzStZJuM7M1knZIOlvS9e7em1Q7AAAAABK8/KSZXSHpR5L+2N2/a2ZVkt4paVNSbQAAAADISvLQms9KesrdvytJ7t4u6TFJj5nZGfkzm9lSM1thZiv62jnyBgAAAChEkoX8aZLW501bL6lc0tvzZ3b3Ze6+yN0XZaqqEuwGAAAA8MqXZCG/RdLUvGnTco8dCbYDAAAAjHlJFvJfkXSVmV0sSWaWkfQxZa9Y88ME2wEAAADGvMROdpX0ZUndyl61pktShaQ9kq5w97UJtgMAAACMeYkV8u7ukpbl/gMAAABwAiW5Rz6sprpTr7l0ZcG5InmovV6PHVG04eCEUK6vaX8o1zM5dvn96kktody+cytCud72klDu1O/FlsOmLRNDuar6zlAu0154P/vKQ03p98/8VSi3s7sulFu+dVwolynuC+UefHFBKNc5PzbGusbHcg0NsXV2avXBUK7LY/3cuCu2TSqJLXbZ+tg2d2PH+FDuUG8mlCsqivXzwYOnh3KZjbEVvnd6Tyi3v7Q0lLtmwtZQ7tmmU0K5krZQTN2xTbzOrdtecKbIYmNlVUNsm9uwLrbt/M7yi0O5YLmjTL+Fcp1zYmM6Uxb7XJrPqAnlqst2hXKnVB4I5coXHArltgxjniSPkQcAAABwklDIAwAAAClEIQ8AAACkEIU8AAAAkEIU8gAAAEAKUcgDAAAAKUQhDwAAAKQQhTwAAACQQhTyAAAAQApRyAMAAAApRCEPAAAApBCFPAAAAJBCFPIAAABAChWPdAckqbW7TI9umFNwzvst1N41C1aFcosbN4VyL82aGco1TGwN5c5p3BnKTZjWFspt76wP5Z579emhXFFpZyg3e3xTKLf50bqCMw2re0NtPd08PZSrL4t9Jucu2BLKfeiUn4VyNzz/B6Hciq2xz2XiIQ/lDqwbF8pVnH4olNvcMyGUmzrhQCinYK70vtpQ7vHA9l2S+ttKQjkrj61/929aEMqVtsS+i2K9lIqCwfvuWRTKzfhpbPsy5fEnQrn+SxeGct/qem3Bmdp5zaG2ehr6Q7nS/V2hXMOqmlCuY1JsbHbNi/XzvNmx75RVuyeHch0TK0I5PxQrfx/cOi+UG1/VEcoNB3vkAQAAgBQqqJA3s/eYWZOZ3TTEa2Zmf29mz5jZz83sUTOL/fwHAAAAcFTD+rcFM2uQ9G1JqyUd6d+cPybpXZLOd/cDZnadpAfM7Fx335REZwEAAABkDXePfJWkm9z9g0O9aGY1kj4q6UvufkCS3P0OSfskfSSBfgIAAAAYZFh75N19m6RtR5lliaRKSb/Im/6EpGtDPQMAAABwREmd7Do397gjb/p2STPNrDShdgAAAAAouUK+OvfYnTd94HllQu0AAAAAUHKF/MAFyMvypg88P+wCmma21MxWmNmKvtb2hLoBAAAAjA1JFfLrco9T86ZPlbTZ3XvyA+6+zN0XufuiTE1VQt0AAAAAxoakCvnlkjolLc6bfpGkexNqAwAAAEBOIoW8u7dK+idJN5hZnSSZ2TskNUr6TBJtAAAAAPiNYV1+UpLM7E5lC3NJut7Mlkj6vLvflZt2s6R+SQ+bWZskl3QlN4MCAAAAkjfsQt7d33aM113Sp3L/AQAAADiBhl3In0glxX2aPK6l4FxLV/5FcobnyvqVodyDB08P5bw4E8od2NgQyi3fVhfKzZ6/K5Rr7Y4th0NVHsqVrqkI5Q40xnKVu/oLznTXx5b5uOLDzgsflnNqtodyE0paQ7kSOxTKdWyujbV3MHYU4P7TQjFlOmNjs7io8LEiSV/95WWhnPosFJs/Z2colznYGcpdf/bzodxl1atCuWe7ZoZyX/h/bwzlMrHhIu+NjevTX7MhlNvbGbuwxMbySaFc2WsuCuVqNsfWo4qdhX+er7oktu08c/ZTody/73l9KNd+VlcolymOfZb11bF1fdXuyaFc5U9qQrnS1tjft3t/9bFnGkJ/e0koN37OYRdvTExSJ7sCAAAAOIko5AEAAIAUopAHAAAAUohCHgAAAEghCnkAAAAghSjkAQAAgBSikAcAAABSiEIeAAAASCEKeQAAACCFKOQBAACAFKKQBwAAAFKIQh4AAABIIQp5AAAAIIWKR7oDklSa6dOMmuaCc8+2TQu1d8euC0O5F/dMCuWqLq4N5Sqnt4RyXetj7e1orou111IWymlKbyhWsqcklHv9lFWh3DfOmVxwpmqrhdra8L15odxLNbFc54zYMjh9/vZQrrQ5uO8g9nFKr4qtQ717KkO5BfW7Q7kta2Pbljmn7QjlTq/fFcqt3lQayj28NzY+qzNdodzyfQtCufHPeyjXXR8boKW7Y1/BZ50fW+7LO2PLYdrCnaHcrNqmUO7hJ88I5epXFb78HtsyK9TW+voJodzkJzpDuY2N5aGcpsXaO2/StlCuuz8Tyj09/qxYew2xdW/6pMJrTklq74ltA98345FQbjgp9sgDAAAAKVRQIW9m7zGzJjO7KW/6RDP7uJk9amYPmdmvzOw7ZjY/0d4CAAAAkDTMQt7MGszsp5JeJWncELO8XdK7Jb3V3S+TdGHuvR8ys/FJdRYAAABA1nD3yFdJusndP3iE1/dI+oy775Ekd++V9FlJUyX91nH3EgAAAMDLDOtMG3ffJumIZz64+3eHmDxwhkXszAAAAAAAR3QiT3Z9jaQWSXedwDYAAACAMemEFPJmVifp7yR9wN0PHGGepWa2wsxWdDfHLjEGAAAAjFWJF/JmVibp+5KWufsdR5rP3Ze5+yJ3X1TWELw+KgAAADBGJVrIm1m5pB9Ketjdb07yvQEAAAD8RmKFvJlVKHs8/P8U8WY228zellQbAAAAALJi94fOY2aVku6WtF3SA2a2KPfSeZIuknRnEu0AAAAAyBp2IW9md0pqzD293syWSPq8u98l6UOSLsu9dl1e9JvH10UAAAAA+YZdyLv7EQ+RcfdbJN2SSI8AAAAAHFMih9Ycr/KiXs2r3lNwbmddbai9538+L5Sr3RCKqeiQh3Lt+ypDuXFrQzF176sJ5SZv7Q/lDsyLnaJReiAU08N7Y8t96nk7C85sK54Saqvx6dhYKWm1UK5+XSaUW905I5Sr3RuKqTe2qqu9tSwWDJ49tK6l8dgzDcEzseV+WeOaUK4y0x3KvXDhFaFcVfH2UK4+0xHKNZa3hXKr58YWfMWe2PIra46tt1s6G0K5HbvrQ7nLFsTGWVVxbJzVzTwYypX9or7gTPva6lBb22bFtp0TZsS2SX0NvaFcUV9sjK1qnhTK9XusvUOxckelsaES7mdteexy6U19sXE2HCfyhlAAAAAAThAKeQAAACCFKOQBAACAFKKQBwAAAFKIQh4AAABIIQp5AAAAIIUo5AEAAIAUopAHAAAAUohCHgAAAEghCnkAAAAghSjkAQAAgBSikAcAAABSiEIeAAAASKHike6AJPX0F2tL57iCc3ee9l+h9v649K2h3PazakO5/e3lodx503aEcmsnNoZy50/eFso9tnF2KHfl3NWh3IsHJoVyPf2ZUO5tp/yq4My/7Lsi1FbdeXtDuT+b/lAo99fff3coN/m03aHcrgl1oVxlVXcop/2Vodj8ebF1b07tvlBuxsLmUC7qkaZ5ody2K0pDufNLukK5zd0TQrnG0tZQ7u/+8Luh3KdfuCaUG1/THsq9efyzodzTNdNDuTOrY+vDv73wmlDuqrkvhXL3nf3qgjPlpx8ItXVGY2wb+Oybp4Vyc8cfCOU6ektCuSlVLaHcaTWxz6X3TetDue8+eX4oVx9KSZv3FF6rStKytkuDLR77u5098gAAAEAKFVTIm9l7zKzJzG46xny3mZmb2ZLj6BsAAACAIxhWIW9mDWb2U0mvknTUf1cws9dJekcCfQMAAABwBMPdI18l6SZ3/+DRZjKzKklfkXTj8XYMAAAAwJEN62RXd98maThnQv6zpK9LWnM8nQIAAABwdImd7Gpml0s6R9IXknpPAAAAAENL5PKTZlYt6cuS3uLu/WY2nMxSSUslqWpyVRLdAAAAAMaMpPbI3yrpa+4+7ENq3H2Zuy9y90Xl9bHrrAMAAABjVVI3hLpa0hlm9qbc8/rc4xfM7ICkT7r7gwm1BQAAAIx5iRTy7j5r8PPc9eMfkvQhd1+eRBsAAAAAfoM7uwIAAAApNOw98mZ2p6TG3NPrc3vdP+/ud+XNt1yHH1pzhbv3HWdfAQAAAOQMu5B397cNc74l4d4AAAAAGJakTnY9Lm2tFXrsobMKzn3m6rZQe+v2TgjlLpm+MZTb3VUTykVNrmkN5XZ21IZyxb+OXT705xWzjj3TEC6dFlsOfX7sy6IO5b11GwrO3Np9Vait109aGcqdX7YnlGt8xkO5fbOqQ7nrzn4ylHt73YpQ7l3PXx/KndOwPZTb2tkQyp1VsyOUu2vb2aHc3qbYNqn8tJZQ7sWmiaHc42vmhHLeEztq9FOv+0Eo19VUEcodyPSHcv++45JQrqMldoW4cys2h3KlZReFcl+e9stQ7sJzpxecmVDZHmrruR3TQrn+/tj30JZ9sW3LjAnNodz4stjnUl7UG8qdXhbbBt7ZvTiUa+6IrbOVld2h3HVzY999fzuMeThGHgAAAEghCnkAAAAghSjkAQAAgBSikAcAAABSiEIeAAAASCEKeQAAACCFKOQBAACAFKKQBwAAAFKIQh4AAABIIQp5AAAAIIUo5AEAAIAUopAHAAAAUohCHgAAAEghc/eR7oPMbK+kzUd4eYKkfSexO0g3xguGi7GCQjBeMFyMFRTiaONlprs3Hi08Kgr5ozGzFe6+aKT7gXRgvGC4GCsoBOMFw8VYQSGOd7xwaA0AAACQQhTyAAAAQAqloZBfNtIdQKowXjBcjBUUgvGC4WKsoBDHNV5G/THyAAAAAA6Xhj3yAAAAAPJQyAMAAAApRCEPAAAApBCFPAAAAJBCFPIAAABACv1/bxb0WgvRWfAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 918x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "r = 360\n",
    "u1, s1, vh1 = u[::, :r], np.diag(s[:r]), vh[:r, ::]\n",
    "w = np.linalg.lstsq(s1, u1.T@a)[0]\n",
    "a1 = vh1.T@w\n",
    "A1 = vec2mat(a1, (16, 51))\n",
    "plt.matshow(A1)\n",
    "plt.title(\"r = {}\".format(r))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a13c391",
   "metadata": {},
   "source": [
    "__Вывод:__\n",
    "\n",
    "- Авторы задачи предложили мне поботать\n",
    "\n",
    "\n",
    "- Найден субъективный оптимум $r=360$. Раньше ботать не получается, позже уже не надо"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37bc433a",
   "metadata": {},
   "source": [
    "### Задача 5"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dfd89287",
   "metadata": {},
   "source": [
    "$Cx = 0 \\Leftrightarrow ||Cx||_2^2=x^TC^TCx=0$\n",
    "\n",
    "$L = ||Ax-b||_2^2 - \\lambda ||Cx||_2^2 =x^TA^TAx + b^Tb - 2b^TAx - \\lambda x^TC^TCx$\n",
    "\n",
    "$\\frac{\\partial L}{\\partial x} = 0 \\Leftrightarrow x^TA^TA - b^TA - \\lambda x^TC^TC = 0 $\n",
    "\n",
    " Считаем, что $A^TA$ обратима, домножаем на $(A^TA)^{-1}$ справа\n",
    " \n",
    "$(1)\\;\\;\\;x^T - b^TA(A^TA)^{-1} - \\lambda x^TC^TC(A^TA)^{-1}=0$ \n",
    "\n",
    "Теперь домножаем на $C^T$ справа\n",
    "\n",
    "$x^TС^T - b^TA(A^TA)^{-1}C^T - \\lambda x^TC^TC(A^TA)^{-1}C^T=0$\n",
    "\n",
    "Пользуемся условием\n",
    "\n",
    "$(2)\\;\\;\\;\\frac{\\partial L}{\\partial \\lambda} = 0 \\Leftrightarrow x^TC^TCx=0 \\Leftrightarrow Cx=0$\n",
    "\n",
    "Получаем\n",
    "\n",
    "$- b^TA(A^TA)^{-1}C^T - \\lambda x^TC^TC(A^TA)^{-1}C^T=0 \\Leftrightarrow$\n",
    "\n",
    "$\\Leftrightarrow\\lambda x^TC^TC(A^TA)^{-1}C^T = - b^TA(A^TA)^{-1}C^T$\n",
    "\n",
    "\n",
    "Считая что $С(A^TA)^{-1}C^T$ обратима, получаем \n",
    "\n",
    "$\\lambda Cx = - (C(A^TA)C^T)^{-1}C(A^TA)^{-1}A^Tb$\n",
    "\n",
    "Подставляем $\\lambda Cx$ в $(1)$, получаем\n",
    "\n",
    "$x = (A^TA)^{-1}A^Tb-(A^TA)^{-1}C^T(C(A^TA)^{-1}C^T)^{-1}C(A^TA)^{-1}A^Tb$\n",
    "\n",
    "$A^{+}=(A^TA)^{-1}A^T$, тогда\n",
    "\n",
    "$x = (I-(A^TA)^{-1}C^T(C(A^TA)^{-1}C^T)^{-1}C)A^{+}b$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62219b46",
   "metadata": {},
   "source": [
    "### Задача 6"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "90769187",
   "metadata": {},
   "source": [
    "$(\\overline{r_j}-\\overline{r_i}, \\overline{r_k}-\\overline{r_i})=|\\overline{r_j}-\\overline{r_i}||\\overline{r_k}-\\overline{r_i}|\\cos\\theta_{ijk}$\n",
    "\n",
    "Введём обозначение $x_{ab}=x_a-x_b$\n",
    "\n",
    "Пренебрегаем слагаемыми второго порядка малости и выше, получаем уравнение\n",
    "\n",
    "$(r_{ki},r_{ji})+(r_{ji},dr_{ki})+(r_{ki},dr_{ji})=|r_{ji}||r_{ki}|\\left( 1 + \\frac{(dr_{ji}, r_{ji})}{|r_{ji}|^2} +\\frac{(dr_{ki}, r_{ki})}{|r_{ki}|^2}\\right)\\cos\\theta_{ijk}$\n",
    "\n",
    "\n",
    "Введём обозначения\n",
    "\n",
    "$A_{ikj} = r_{ik} - \\frac{r_{ij}}{|r_{ij}|}|r_{ik}|\\cos\\theta_{ijk}$\n",
    "\n",
    "$A_{ijk} = r_{ij} - \\frac{r_{ik}}{|r_{ik}|}|r_{ij}|\\cos\\theta_{ijk}$\n",
    "\n",
    "$B_{ijk} = B_{ikj}=\\frac{1}{2}\\left(|r_{ij}||r_{ik}|\\cos\\theta_{ijk}-(r_{ik}, r_{ij})\\right)$\n",
    "\n",
    "В новых обозначениях получаем уравнение\n",
    "\n",
    "$(dr_i, A_{ijk}+A_{ikj})-(dr_j, A_{ikj})-(dr_k, A_{ijk})=B_{ijk}+B_{ikj}$\n",
    "\n",
    "Если угол $\\theta_{ijk}$ не измерен, считаем, что $A_{ijk}=A_{ikj}=B_{ijk}=B_{ikj}=0$. Видно, что при таком выборе обозначений уравнение превращается в тождество при подстановке неизмеренных углов. Также видно, что при совпадении двух индексов константы равны $0$, что эквивалентно незаданным углам\n",
    "\n",
    "Пользуемся методом множителей Лагранжа\n",
    "\n",
    "$L = \\sum_{i=1}^n||dr_i||^2_2 - \\sum_{i=1}^n \\lambda_i \\sum_{j,k} \\left[ (dr_i, A_{ijk}+A_{ikj})-(dr_j, A_{ikj})-(dr_k, A_{ijk})-B_{ijk}-B_{ikj}\\right]$\n",
    "\n",
    "\n",
    "$(1)\\;\\;\\; \\frac{\\partial L}{\\partial dr_i} = 0 \\Leftrightarrow dr_i = \\frac{\\lambda_i}{2}\\sum_{j, k}\\left(A_{ijk}+A_{ikj}\\right)$(коэффициенты с повторяющимися индексами занулены)\n",
    "\n",
    "$(2)\\;\\;\\; \\frac{\\partial L}{\\partial \\lambda_i} = 0 \\Leftrightarrow \\sum_{j,k} \\left[ (dr_i, A_{ijk}+A_{ikj})-(dr_j, A_{ikj})-(dr_k, A_{ijk})-B_{ijk}-B_{ikj}\\right]=0$\n",
    "\n",
    "После подстановки $(1)$ в $(2)$ вылезет система из $n$ линейных уравнений на $\\lambda_i$, из которых можно будет найти $\\lambda_i$, получить $dr_i$. Можно ожидать, что матрица системы будет разреженной, т.е. для неё есть хорошее малоранговое приближение\n",
    "\n",
    "$(i-\\text{ое уравнение})\\;\\;\\;\\lambda_{i}||\\sum_{j, k}(A_{ijk}+A_{ikj})||^2 - \\sum_{j,k}\\lambda_j\\left( \\sum_{\\alpha, \\beta}(A_{j\\alpha\\beta}+A_{j\\beta\\alpha}), A_{ikj}\\right)-\\sum_{j, k}\\lambda_k\\left( \\sum_{\\alpha, \\beta}(A_{k\\alpha\\beta}+A_{k\\beta\\alpha}), A_{ijk}\\right)=\\sum_{j,k}(B_{ijk}+B_{ikj})$\n",
    "\n",
    "Видно, что третье слагаемое при замене индексов $k\\leftrightarrow j$ переходит во второе слагаемое. Также видно, что второе и третье слагаемые не содержат $\\lambda_i$, так как зануляются коэффициенты с одинаковыми индексами. $i$-ое уравнение имеет вид\n",
    "\n",
    "$\\lambda_{i}||\\sum_{j, k}(A_{ijk}+A_{ikj})||^2 - 2\\sum_{j}\\lambda_j\\sum_{\\alpha, \\beta, k}\\left((A_{j\\alpha\\beta}+A_{j\\beta\\alpha}), A_{ikj}\\right)=\\sum_{j,k}(B_{ijk}+B_{ikj})$\n",
    "\n",
    "В удобоваримом виде выглядит вот так\n",
    "\n",
    "$\\lambda_1 \\left(\\sum_{\\alpha, \\beta}(A_{1\\alpha\\beta}+A_{1\\beta\\alpha}), \\sum_{k}A_{ik1})\\right) + ...-\\frac{\\lambda_i}{2}||\\sum_{j, k}(A_{ijk}+A_{ikj})||^2+...= -\\frac{1}{2}\\sum_{j,k}(B_{ijk}+B_{ikj})=-\\sum_{j,k}B_{ijk}$\n",
    "\n",
    "Осталось все это запрогать)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 440,
   "id": "fef71fb1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7feafc704040>"
      ]
     },
     "execution_count": 440,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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uHTiz1exYIpeRgi/yhPd/PcTRy+F83tOXskWc7l0ZHwsL+0HYeeg1D4pVMiekyYq7OjI1sCFDogYQalcWvbg/3E55k7woyKTgi1xvedBF5u84z6CAKrSsnuIqX61h1Qg4uwWemQEVGpsTMpd4pFIxXm1Tnz4RQ4mPDjdGBo1PeaO8KKik4ItcLTg0nDHLDvBIpWKMfKLa/Rts/QL2/gzN34J6PXI8X270SvPKeFarz8iYV+DCTlj7ttmRRC4hBV/kWndi4xk0dw9O9rZM610fu5T99odXwobxULsLtBxjSsbcyMZG8XkPX3a7NGeeXSfYNRuC5podS+QCUvBFrjV2xSFOhEbwRS9fSrkVunflpSBjDJnyjaDTTLkEMYWiLg5MC/Tj/TvdOOpUH71qBFzaa3YsYTIp+CJXWrTrPEt2X2Boq6o0q5piIL2wizCvF7h4GCdp7Z1Sf5ICrkHForzZtjaBN18h0q6ocWL7zg2zYwkTScEXuc6xy+GMXXGQJlWKM/zxFFMuxETA/J7G3aSBC8E15VBNIrkXm1aiQa2q9IsYgiX8Mix5ASwJGTcU+ZIUfJGrRMbEM2jublwd7fmily+2Nsm6aiwJsPRluHLIuLGqlEyNnBGlFJ918+GqW20+sXkJTm2CTR+aHUuYRAq+yDW01ryz7ACnr0UytbcvJQun6Lf/fSwcWwNPfQxVW5sTMg9yd7ZnRqAfs6Oa8WfhdvD3ZDiyyuxYwgRS8EWusWDneZbvvcSI1tVoUqXEvSt3z4F/psMjA8B/gCn58jIfzyK8064mL1/tSWjh2rDsVbiW3nQWIj+Sgi9yhUOXwhi38hDNqpZgcEvve1ee2gyrXwfvJ+DJiabkyw+ea+JF67qedLk+kDgbB1jQB2LCzY4lcpAUfGG68Og4Bs/dQzFnB77o6YtN8n77q8dh4bNQohp0+x5srRrgVaRCKcWkrvWwLVqe1+KHoa+fgBWDjbuVRYEgBV+YSmvN6F8OcP5mFNMC61PcNdn0yZHXYV53sHMwrsgp5GZe0HzCrZDRn/97dHUWur8Eh1fAtqlmxxI5RAq+MNVP/55l9YEQ3mhTnUZexf5bER8DC/sYk5D3mg9FKpgXMp+pU86dsR1qMfpyC4I9Wht3K5/60+xYIgdIwRemOXAhjA9WHaFldQ9eaV75vxVaG5N4nPsHOs8Cz0bmhcyn+vhX4GmfcnS+0Js7blVgyfNw67zZsUQ2k4IvTBEWFcegebsp4erA5z1S9Nv//RnsXwAt34E6Xc0LmY8ppZjYpS4exUvwbORQLPExxsiacdFmRxPZSAq+yHFaa95aso+QW9FM7+NHUReH/1YeXAp/fAD1ekLzN80LWQC4Otoxo48fB6JL8kXh1+HSHvhNjnl+JgVf5Ljvt55h3aErjG5bA78KRf9bcWEXLB8Ino2h4zQZEC0H1Czjxv89U5upF6uzo/zzsOdH454HkS9JwRc5KujcTSauOcITtUrxYtNkM1PdOgfze0Ph0tBrLtg5pv0k4qHq0dCTLn7l6H3ycW6WaQZr3oQLu82OJbKBFHyRY27diWXIvCBKuxfis24+qLuf4KNvG6NfxsdA4CJwKZH+E4mHSinFB53qUNnDjW6hL5DgUgoW9YOIq2ZHEw+ZFHyRIywWzeuL9hEaHs2MQD/cne2NFQnx8MuLcPUo9PgBPKqbG7SAcnawY2YfPy7FOjPGYRT6znXjyp2EeLOjiYdICr7IEd/+fYqNR0N5p11NfDyL/Ldi/TtwYj20/wyqtDQtn4CqpQrzQac6LLxQjLUV34Izf8PG8WbHEg+RFHyR7XaducEn647Rrm5pnmvi9d+KHd/C9q+g8WBo+IJp+cR/ujYoT8+Gngw8VIOLVfvAtmlwaJnZscRDIgVfZKvrETEMmRdE+aJOTOpa779+++AN8NsoqNYW2kwwN6S4x/vP1KZG6cJ0Cm5PbJmGsHwwhB4xO5Z4CKTgi2xjsWhGLNrHjTuxzAj0w61QYr996BFY/DyUrAVdvwMbW3ODinsUsrdlRh8/7iTYMjjuNbSDCyzsC9FhZkcTD0gKvsg2s/48yV/HrzLu6VrUKeduLIy4CvN6gL0zBC4AR1dzQ4pUVfFw5aMudfn9gg0/V/g/uHkGlg0Ei8XsaOIBWFXwlVK1lFIblFJblVJBSqmPlFJWjVOrlOqslPoj8eewUmqbUirgQUKL3O/fU9eZvP4YHX3KEvhI4sBncdGwINAo+r3ng3t5c0OKdD3jW44+/hV4L8iN4z6j4Nhq2PK52bHEA8iw4CulPIBNwHKt9WNAU6A9MNmKti8AE4DeWutWgA8QA9R5kNAid7saHsPQ+UF4FXfhoy51jX57rY2x1y/sgC7fQDk/s2MKK7zXoRa1y7rRPciHO9U7G8NeBG8wO5bIIms+4Q8DFDALQGsdiVHsByulyqbVSClVGJgCjNZaX0lsGwe8BMiEmvlUgkXz2sIgbkfFMaOPH66OiV8EN0+Cg0vg8XFQq6O5IYXVCtnbMiPQjwQNz1/vh6VkTfjlJaOLR+Q51hT8dsAurXVCsmXbAFugTTrt2gOFgY3JF2qtT2qtz2Qyp8gjpv1xgq3B15nwTB1qlkmcsGT/YvhzEvj2haYjzA0oMs2rhAufdKvH9gvRzCz5PmiLcRI3LsrsaCKTrCn43sClFMsuJv6umk47X+A60EoptS6x7361UqptWg2UUgOUUruUUruuXpXbuvOaLSeu8eXGE3TxK0f3hon98+e2w4pBULEpdJgiA6LlUe3qlqF/Ey8+2xXH7gafwOUDsGqETI+Yx1hT8F0x+t2Tu/vYJZ12xYEiwFtAT611E+A7YLVSqldqDbTW32itG2qtG3p4eFgRTeQWobejeW1hEN4ernzQqY7Rb3/zjHGS1t0Tev5kTFUo8qy329XAp7w7/bcW5dYjb8C++bDzO7NjiUywpuBHACmHLrz7ODKddvGAHfCB1voWgNZ6GbAZeDtTKUWuFp9gYej8ICJjEpjZxw9nBzvjmu15PcESbwyI5lws4ycSuZqjnS3TA/1QwLPBLUjwbgNrRxvf4kSeYE3BDwZSnpy9+/hEOu3Opfh91ynS7woSecwXG06w/fQNPuxch6qlChsDbi3uD9eDjU/2JbzNjigeEs9iznzW3Yf9l8L5xGmE8e1t0bMQfsXsaMIK1hT8NUBDpVTy2yGbAAnA+nTa3T1ZWy7F8jLAZasTilxt87FQpm8KpmdDT7r4lTf6dH97C07+AR2+gErNzY4oHrI2tUvzUtNKfL3zJn/6TTG+zS3uDwlxZkcTGbCm4E8FNPAKgFLKGRgJzNBaJ53MTbyxKukCXa31Dow/Fq8rpRwSt2mIcWXPZw/tFQjThIRFMWLhXmqULsz7z9Q2Fm7/CnbNhseGg18/cwOKbDOqbQ3qVyjC4A2xhLb8FM5tg/XvmR1LZCDDgq+1vgq0AroqpbZiXJK5FngjxaZOiT/J9QLOAruVUn9h/PHoq7We+aDBhbniEiwMnRdEbLyFGX38KGRvC8fXwboxUKMDPD7e7IgiG9nb2jA90A87W0X/XV7EN3oFts8yLsEVuZZVwyNorQ8Bj2ewzaOpLAsHBmUtmsjNPlt3jF1nbzK1d32qeLjC5YOw5AUoXde4k9ZGhmnK78oVcWJKD1+en7OTceV782GFA7ByKJSsCaXlZvrcSP5VikzbeOQKX/91ij7+FejoUxbCLxtX5Di6Qe+F4JDe1boiP2lZoySvtqjC3J2XWFtrIjgVgYV9IOqm2dFEKqTgi0y5cPMOIxfto3ZZN97rUAti7xiTj0fdMEa/dCtjdkSRw95oU41HvIoxcs1lLjzxFYRdhKUDZGTNXEgKvrBabLyFwfOCsFg0M/v4UchWwfJX4VIQdJ0NZXzMjihMYGdrw9Te9XGyt+XFjTbEPjHRmLbyz4/NjiZSkIIvrDbpt6PsO3+LT7rVo2JxF9j0ARxeYcxYVaOd2fGEiUq7F2JKT1+Oh4bzzvlG4BNojJ90bK3Z0UQyUvCFVdYevMz3W0/Tv4kXbeuWgb3z4O/J4PccPDrE7HgiF2hezYOhLb1ZvOciS8u9DqXrGV0710+aHU0kkoIvMnTu+h3eXLIPn/LujGlXE85shZXDoFILaD9ZBkQTSYa3rsajlYsz5tcTnGz1tXG11sJ+EJveKCwip0jBF+mKiU9g8Lw9KGB6oB8OYaeNqzCKekGPH8DW3uyIIhextVF82dsXV0d7BvwaSnTHbyH0sPEBQUbWNJ0UfJGuD1cf4cDFMD7r7oOnU4wxHy0K+iwCp6JmxxO5UMnChZjay5fT1yJ5e78HutW7xuQ3278yO1qBJwVfpGnV/kv8+M9ZXm5WiTY1ihuDZN08C73mQrHKZscTuVgT7xK81roay4IustCxm3H39bp34MwWs6MVaFLwRapOX4tk9C8H8KtQhLeerA6rR8Lpv6DjNKjYxOx4Ig8Y3NKbZlVLMPbXIxxt/AkUq2QMsnY75XxKIqdIwRf3iY5LYNDcPdjZKqYH+mG/fQbs+RGavQG+vc2OJ/IIWxvFlJ6+FHW2Z+CSE0R2/sG4UW/RsxCfck4lkROk4Iv7vP/rYY6E3GZKD1/KhmyE38dCrU7Q8h2zo4k8poSrI1N71efcjTuM+isW/cwMuLAT1socSGaQgi/usTzoIvN3nGNgQBVaul2CpS9DOT/o/JUMiCayxL9ycV5vU41V+0P4OcIPmgwzhtAOmmt2tAJH/gWLJMGhEYxZdoBHvIrxur8rzO8FzsWh13ywTznytRDWe7V5FVpW92DCr4c5UOM18GpmTIJ+aa/Z0QoUKfgCgKjYBAbP3YOTvS3TulXDbmFviAmH3gugcCmz44k8zsZGMbmHL8VdHRi8YD/hHb8FFw/jpqw7N8yOV2BIwRcAjF1xkOOh4UzpUY9SG4bBlYPQ7X8yrrl4aIq5ODA9sD6XbkXx5upL6B4/QsRlYx4FS4LZ8QoEKfiCxbvOs3j3BYa29Kb52elwdBU8ORGqtTE7mshnGlQsxqinarD20GX+d6YYtPsMTm2CTR+aHa1AkIJfwB27HM57Kw7yaOXivFbsX9g2FRq9BP6vmB1N5FMvNatE65qlmPjbEfaWfAb8njUG4juyyuxo+Z4U/AIsMiaeQXN34+poz8zHwrFZMxKqPA5PfSwDoolso5RicncfSrkVYvDcPdwK+BDK+sGyV+HaCbPj5WtS8AsorTXvLDvA6WuRfNPOjaK/vgjFvaH7/8DWqqmOhcgyd2d7ZgT6ERoezRvLjhn9+XaOsKCPcbGAyBZS8AuoBTvPs3zvJUa3KInf3wPAxh4CF0Ihd7OjiQLCx7MIY9rVZMORUL7dHwvdvofrJ2DFYBlZM5tIwS+ADl+6zbiVh2jp7cbLl8YaY5v0nm8MeSxEDurfxIu2dUrz8dpj7LatC63fN2ZR2zbV7Gj5khT8AiY8Oo7B8/ZQ1MmOWe4/oc5tg04zwfMRs6OJAkgpxcfd6lGuiBND5gVxw+cVYxiPDePh1J9mx8t3pOAXIFprRi89wLkbd1hSdzuFDi2EgLehbjezo4kCzK2QPTP7+HE9IpYRi/ZheXoalKgGS56HW+fNjpevSMEvQH7+9yyr94cww/ccnns+hbrdocUos2MJQZ1y7rz3dC3+PH6VWf+GQs+fIT4WFvWDuGiz4+UbUvALiAMXwpiw6ggveN3gyePjwNMfOk6Xyy9FrtHXvwJP+5Rl8vpj/Hu7mDFg36Ug+O1Ns6PlG1LwC4CwqDgGzdtNbZcw3g3/P5RrSeg5F+wLmR1NiCRKKSZ2qYtXcReGzQ/iavknoNnrxlwMu+eYHS9fsKrgK6VqKaU2KKW2KqWClFIfKaUydbG2UmqFUkorpbyylFRkidaat5bs4/atm8x1mYJNfDQELgZXD7OjCXEfV0c7ZvTxIywqjhEL95LQYgxUaQVr3oQLu82Ol+dlWPCVUh7AJmC51voxoCnQHphs7U6UUs8CzbIaUmTd/7ae4fdDIfxa5n843zoB3edAyRpmxxIiTTXLuPF+x9psCb7G9M2noetsKFza6M+PuGp2vDzNmk/4wwAFzALQWkdiFPvBSqmyGTVO3GYMIKMj5bCgczeZ+NsRvi65jArX/4Z2n4D342bHEiJDPRt50qV+Ob7YeJytlyzQ4ye4c924cich3ux4eZY1Bb8dsEtrnXz80m2ALWDNcIrfYBT865mPJ7Lq1p1YhswLYoDzZp64/Qv4DzQGRRMiD1BK8UHnOlTxcGX4giBCXWtAhylw5m/YON7seHmWNQXfG0g5zfzFxN9V02uolHoeCNdaL81CNpFFWmveWLyPahE7eCP+O6j6JDwpX7BE3uLsYMfMPn5ExiQwbEEQ8XV7GR9atk2DQ8vMjpcnWVPwXYGUU8zffeySViOlVDlgNDDE2jBKqQFKqV1KqV1Xr0pfXVZ9+/cpzhzdw9eFpqFK1oRus8HG1uxYQmRatVKFmdCpDv+eusGXG08Y8zSUfwSWD4bQI2bHy3OsKfgRgGOKZXcfR6bT7jvgba211V05WutvtNYNtdYNPTzkKpKs2HXmBt+u3ckClynYOzobUxQ6FjY7lhBZ1q1BeXo0LM/0TcH8eSoMevwADi6wsC9Eh5kdL0+xpuAHAylPzt59nOrg1Ymf7qsDw5RSm5VSmzE+7QMsSFxWKwt5RTpuRMYycu52vi80heLcRPVeAEU8zY4lxAN7v2MdqpUszIiFewnRRY2rzW6chmUDwWIxO16eYU3BXwM0VEol7xNoAiQA61NroLW+qLWurLUOuPsDTEpc3Stx2eEHCS7uZbFoRiwI4o2YadS1HEV1/hrKNzA7lhAPhZODLTP7+hETl8Cw+UHEez5qnJc6thq2fG52vDzDmoI/FdDAKwBKKWdgJDBDa510Mlcp9YdSakO2pBQZmvXnSXxOfUNHm63Q6j2o3cnsSEI8VFU8XPmoS112nrnJZ+uPg/+rxnhQf3wAwVJ6rJFhwddaXwVaAV2VUlsxLslcC7yRYlOnxJ97KKVKp9Kls/hBQot7/XvqOsc2/I+R9kvQPr2N29GFyIee8S1HoH8FvvrzJBuPhsLTX0LJWvDLS3DzjNnxcj2lc+nMMg0bNtS7du0yO0audzU8htFffMeshHHYejbE9rkVxlRxQuRT0XEJdJm5jUthUawe1oxylhD4JgCKVIAXfwf7+z53FihKqd1a64aprZPB0/KwBIvmw7lr+SR+EriVxbbXXCn2It8rZG/LzD5+xCdohszbQ6ybF3T5Fi4fgFUjZHrEdEjBz8O+Xh/EwEtjKGyvcXj2F3ApbnYkIXKEVwkXPulWj6Bzt/h47VGo9qQxmc+++bDzO7Pj5VpS8POorccvU3vbcLxtQrAP/BlKpHvTsxD5Tru6ZXju0YrM3nKadYcuQ/O3jLvK146Gc9vNjpcrScHPg0JvR3Nx/nBa2Ownvt1kVOUAsyMJYYox7WtSr7w7byzex7mb0dDla3D3hEXPQvgVs+PlOlLw85j4BAurvxtPD72Wmz6v4PjI82ZHEsI0jna2zAj0QwGD5+0hxt7NmB4xOgwW94eEOLMj5ipS8POYFYvn8GzYV1wq1Yqiz0w0O44QpvMs5syn3X04cDGMj1YfgdJ1oOM0OLcN1r9ndrxcRQp+HrJrxxbaHBnDZSdvyr74swyIJkSiJ2uX5sWmlfjhn7Os3h8C9bobQ4JvnwX75bafu6Tg5xFXLp2l3JrniLFxotjLy4zBo4QQSUY9VYP6FYow6pf9nLkWCW0mQIUmsHIoXD5odrxcQQp+HhAXHUnY/7rjrsOJ6j4Pp+IyIJoQKTnY2TA90A87W8WguXuIttgYg6w5FYGFfSDqptkRTScFP7ezWDjxTT+8Y49zwP9TPGs9anYiIXKtckWc+LyHD4dDbvN/qw5D4VLQ40cIuwhLBxT4kTWl4Odyp5e8Q60bG1lXdiD+7Z4zO44QuV6rGqV4tUUV5m0/x4q9F8HzEXhqIpxYD39+bHY8U0nBz8VubPuBSodnss6xDS2fn2B2HCHyjDfaVKORV1HeXnqA4NAIY2pEn0D4cxIcW2t2PNNIwc+l4k5tpfD6kWzXtan+wjcUcrAzO5IQeYadrQ3TevtRyN6WwXP3EBVngQ6fQ+l6RtfO9ZNmRzSFFPzc6MYp4ub15pzFg7CO3+NVqqjZiYTIc0q7F2JKT1+Oh4YzbuVBYxTNnj+BjQ0s7Aex6c3Qmj9Jwc9tom4R8b+uxMQlsLrOl7RpUMPsRELkWS2qeTCkpTeLdl1gye4LUNQLus6G0MOwcliBG1lTCn5ukhBH9Ny+OIaf5ZMi7/FKl9ZmJxIiz3utdTUaVy7Gu8sPcPxKOHg/Dq3ehYNLYPtXZsfLUVLwcwutSVj1OoUu/M37vMKg557F0U7upBXiQdnaKKb2qo+roz2D5u4hMiYemo6E6u1h3TtwZovZEXOMFPzc4p8Z2Ab9wIz4jjTvPhzPYs5mJxIi3yjpVoipvXw5eTWC95YfRCsFnWdBsUrGIGu3L2X4HPmBFPzc4Oga9Pp3WZ3wCDf9R9GmdmmzEwmR7zTxLsFrj1djadBFFu48D4XcoedciL1jDKccH2N2xGwnBd9sIfux/PIiB3Vlfiw9mlHtapmdSIh8a0grb5p6l2DcykMcCbkNJWtApxlwYSesfdvseNlOCr6Zboeg5/XgWrwLI2xG8XmfJtjbyv8SIbKLrY3ii16+uDsZ/fnh0XFQuzM0GQa7ZkPQXLMjZiupLmaJjYT5vYiNvMVz0SMZ0zOAckWczE4lRL5XwtWRab3rc/Z6JG8vPYDWGh4fB17NjEnQL+01O2K2kYJvBosFlr2CDtnPwOjBtGjeilY1SpmdSogCw79ycV5vU51V+0P4efs5sLUzRtZ08TBuyrpzw+yI2UIKvhk2vg9HfmWSpS/hFR7njTbVzE4kRIEzsEUVAqp7MOHXwxy8GAYuJaDnjxBxGZa8AJYEsyM+dFLwc1rQz7D1C1Y5tGWx3dNM6+2HnfTbC5HjbGwUn/fwpbirA4Pm7uF2dByUawDtPoNTm2DTh2ZHfOik0uSk03/Dr8M57tKQEeG9+aJXfUq7FzI7lRAFVjEXB6YH1ufSrSjeWrzf6M9v8Bz4PQt/T4Yjq8yO+FBJwc8p14JhYV9uO1eg2/VXeLVlDZpX8zA7lRAFXoOKxXjrqeqsPXSZOdvOGAvbfgpl/WDZq3DthKn5HiYZczcn3LkB83oQjw1dwoZTq7Inr7XO/n7727dvExoaSlxcXLbvS4gHZW9vT8mSJXFzc8vxfb/crDI7Tt/gozVHqF+hKL6eRYyRNb9uDgv6wMsbwbFwjud62JS2YrQ4pVQtYCrgBDgDvwFjtdbx6bTxAgYDjwLxgDuwO7FdhvcxN2zYUO/atcuKl5DLxcfCT53RF3Yw3OH/2BZXlTXDmlLSLXu7cm7fvs2VK1coV64cTk5OKKWydX9CPAitNVFRUVy8eJFSpUqZUvRv3Yml/VRjXJ3Vw5pSxNkBTv0JP3WCmk9D9x8gD/w7Ukrt1lo3TG1dhl06SikPYBOwXGv9GNAUaA9MzqDpEOAxoK3WOgBoBtQA1iqlHKyPn4dpbVzXe3YLP5d6i1W3KjC1l2+2F3uA0NBQypUrh7OzsxR7kesppXB2dqZcuXKEhoaakqGIswMz+vgRGh7NG3f78yu3gNbj4fAK2DbVlFwPkzV9+MMABcwC0FpHYhT7wUqpsum0Ow9M1FqHJ7aLwPiWUBfwe5DQecbWL2Dvzxz0fpX3TtVi+OPVaOJdIkd2HRcXh5OT3Mgl8hYnJydTuyB9PYvwdtuabDhyhe/+Pm0sbDIMaj0DG8Ybn/jzMGsKfjtgl9Y6+UWp2wBboE1ajbTWX2qtf02xOCrxd/7/hH94JWwYT1iVjnQ92oJmVUswpJV3jkaQT/Yir8kN79nnH/Piqdql+XjtUXafvWF04zwzA4pXhSXPw63zZkfMMmsKvjeQss/9YuLvqpncXzPgNMYfjPsopQYopXYppXZdvXo1k0+di1zcA0sHkFC2Id0v96OIswNTevpia2P+m1kIkT6lFJ90r0fZIk4MmRfEjchY44Rtr7nGOblF/SAu2uyYWWJNwXcFUo4bevexi7U7UkpVBF4Gnk/rZK/W+hutdUOtdUMPjzx6yWLYRZjfG+1SgncLvU3wjTim9qpPCVdHs5MJIazkVsiemX38uB4Ry8hFe7FYNJSoCp2/gktB8NubZkfMEmsKfgSQslrdfWzVLMBKqaLASuA1rXXe7gRLT0wEzO8JsZGsqvMF8w/H8MaT1fGvXNzsZPnG0KFD8fLywsvLK1Pt5syZw/Lly7Mlk8if6pRz572na7H52FW++uuksbBmB2j2Ouz5EXbPMTVfVlhT8IOBlCdn7z7O8I4EpVQxYB0wRWv9Q+bi5SGWBPjlJbhyiNMtZ/D65jhaVvfg1eZVzE6Wr0ybNo3+/ftnup0UfJEVff0r0KFeGT5bd4ztp64bC1u+A1VawZo34cJucwNmkjUFfw3QUCmVfILVJkACsD69hkqpEonbfKm1npO4rIFSKv/Nzv37WDj+G1GtJ/Lc324Ud3Vgcg9fbKTfXog8SynFxC51qVjchaHzg7gWEQM2ttB1NhQubfTnR+Sd843WFPypgAZeAVBKOQMjgRnJb6BSSv2hlNqQ7HFJ4I/En2NKqYZKqYbA0xjX8ucfu/4H/0xHPzKAEacacelWFNMD61PMJf9fjJTdYmJiGDx4MBUqVCAgIICBAwcSFRV1zzZvvvkmjRo1omXLljRq1IgRI0YQGflfb2OHDh3Yu3cva9euJSAggICAAC5fvmxVWyEKF7JnRqAfYVFxjFi4lwSLBudi0OMnuHPduHInIc17UHMVa++0rY1R+AthnKi9e6dtXLJt/gEsiTdnoZT6BuMkbWre11qPT2+feeZO25Ob4OeuUKUVcypOZPzq47zTriYvN69saqwjR45Qs2bNe5a9/+shDl+6bUqeWmXdGPd07Uy3e/3111m8eDE7duygdOnSHDlyhBYtWuDs7MyZM2cAKFq0KIcOHaJs2bLExMTQoUMHqlevzvTp05OeJyAgAC8vL+bMmXPP81vTVuSs1N67ucGCHecYvfQAI5+oxrDHEy9Q3DsPlg+EJkOhzQfmBkz0QHfaAmitD2mtH9daP6a19tVav5282Cdu8+jdYp/4eIDWWqXxM/6BXlFucfUYLHoOPKqz/9EpfLj2BK1rluKlZpXMTpYv3LlzhxkzZvDcc89RurQxsXvNmjVp3freHsE9e/ZQtqxxWsnR0ZFu3bqxbNkyq/bxIG1FwdKzkSed65djyobjbAu+Ziz0DYRGL8G2aXAo979vZPC0rIq8DvN6gJ0jYZ1/ZuAPJyhZuBCTu/vkiptHUpOVT9hmCg4OJiYmBm/ve29Yq1SpEtu2/Xcrx549exg4cCARERHY2dlx+fJlLl3KcLimB24rChalFB90qsP+C7cYtmAva4Y3pWThQvDkRAjZD8sHg0cNKJn7vp3cJcMjZ0V8DCzsA+GX0b3m8fr6G4SGRzOjjx/uzvZmpytQli9fTrdu3ejXrx9btmxh8+bNjB49OtvbioLJxdGOWX0bEBETx7D5QUZ/vp0D9PgBHFxgYV+IDjM7Zpqk4GeW1rByKJz7BzrN4tvTxdhwJJQx7WoaQ6qKh8bb2xtHR0eCg4PvWX769Omk/964cSO2trb07t07aVlsbOx9z2Vj899bPTo6mpiYGKvbCpFctVKF+aBTXf49dYMvNhw3FrqVNebEvXEalg005q3OhaTgZ9Zfn8H+hdDyXXYXDuDjtcdoW6c0/Zt4mZ0s33F2dmbIkCH88MMPXLlyBYCjR4+yZs2apG18fHxISEhgwwbjArG4uDh++eWX+56rdOnS3LhhTEz92muvMXv2bKvbCpFStwbl6d6gPNM3BfPX8cTLMr0egyc/hGOrYcvn5gZMg/ThZ8bBpbDpA6jXixsNhjFk2hbKFXHi4271cm2/fV734YcfEhUVRcOGDalcuTKVKlWif//+fPXVVwQEBDB79mxGjRrFiy++SOXKlSlevDienp6AcWXO119/TfXq1RkxYgTPPvsszZs3x87OjkmTJuHm5kZwcHCGbYVIzf89U4f9F8J4beFe1gxrZkxX6v8qXNwNf3wAZX3BO3fdcmTVZZlmyHWXZV7YBXPaQ9n6WPou5/mf9/PPyessHdSEOuXczU53n9x6aZsQGclL793g0Ag6Tt9C7bJuzH+5MXa2NhAbCd89AeGXYMBmKOqVo5ke+LLMAu/WOZjfy7izrudcZm29wJ/Hr/Le07VyZbEXQuQM75KuTOxSl51nbvLZ+sT+fAcXY3pEi8U4iRt7x9yQyUjBz0j0bZjX0xgWNXAx26/A5PXH6FCvDH39K5idTghhsmd8y9H7kQp89edJ/jhqnGuieBXo+i1cPgCrRxoXe+QCUvDTkxAPS14wbrDq8QPXnCoydH4QXsVdmNRV+u2FEIZxT9eiVhk3Ri7ax8VbiUN/VHsSWoyGffNh53fmBkwkBT8968ZA8O/QfjIJlQJ4bcFewqLimNHHD1dHOd8thDAUsrdlZh8/4hM0Q+btITY+8bLMFqOgahtYOxrObTc3JFLw07bjW9jxNTQeDA2fZ/ofwWwJvsb7HWtTs4yb2emEELmMVwkXPu5aj6Bzt/hk7VFjoY0NdPkG3MvDomch/IqpGaXgp+bEBvjtLajWFtpMYGvwNb7YeJzO9cvRs5Gn2emEELlU+3plePbRiny35TTrDxkjsuJUFHrONe7AXdwfEsybpF0KfkpXDhv/U0rWhq7fERoRx/AFQVTxcOWDTnWk314Ika532tekbjl3Xl+8j/M3Eq/QKV0HOk6Dc9tg/XumZZOCn1xEqHFFjoMLBC4g3s6ZYQuCiIxJYGYfP1yk314IkQFHO6M/H2DwvD3ExCcYK+p1B/+BsH0W7F9sSjYp+HfFRcGCQIi8Cr3ng3t5vtx4gn9P3WBCpzpUK1XY7IRCiDzCs5gzn3bzYf+FMCauOfrfijYToEITYzyuywdzPJcUfDCukV0xGC7sNE6wlPPjz+NXmb4pmB4Ny9OtQXmzE4p0LF26FF9fXwICAvDx8WH+/Pkyh20mpXW8unXrxmuvvZbjefKDp+qU5sWmlZiz7QxrDoQYC23tjUHWnIoYI+5G3czRTFLwATZPhIO/wOPjoFZHQsKiGLFwL9VKFub9jnXMTifSERsbS9++fRk+fDibN2/mxx9/xMXFRQp+JqV1vCpVqoSXl1eO58kvRj1VA1/PIry1ZD9nriVOnVm4FPT4EcIuwtIBOTqyphT8/Yvgz4/Bty80HUF8goVh84OIjktgRh8/nBxsM34OYZqQkBCioqKoVMmYZczHx4eOHTuanCr/+PTTT+UT/gNwsLNhemB9bG0Ug+buITousT/f8xF4aiKcWG/UnxxSsAv+uX+NrpyKTaHDFFCKz9YfZ+eZm0zsUhfvkq5mJyzQVq1aRcuWLQkICKBp06Y88cQT7Nu3L2n9ypUr6dmzJ2AMeRwQEMDKlSvTnbT84sWL9OrVi/r16xMQEEDr1q1JPkhfly5dKF26NAEBAUydOpV27drh4eFBp06d0sx57Ngxnn76aXx9fWnevDmNGzdm2rRpSetjY2MZNWoUtWvXxt/fn/r16/PDDz8krf/mm2/w9fVFKcXy5cvp3LkzPj7GzGk7duwgICAApRSff/45L7zwAi1atMDW1jbpE/m2bdto0aIFjRs3plmzZvTt2zfp9d61Zs0aGjdujL+/P/7+/rRt25Z169YBaU/yPmjQILy8vO77hH/kyBHat2+Pr68vvr6+dOjQgaNH/+unTn4Mp02bRrt27ahSpQoDBgwgPj5vTPb9MJUv6sznPXw4HHKbCasO/7ei0UvgEwh/ToJja3MmjNY6V/40aNBAZ6vrp7T+uJLWX9bXOvK61lrrDYcv64qjVum3l+7P3n3ngMOHD9+/cM0orb9vZ87PmlGZfg3PPfecnjlzZtLj7777TpcpU0aHhYUlLTt9+rQG9KZNm+5p26JFC/3cc8/dsywyMlJ7e3vroUOHaovForXWevHixdrJyUmfPn36nv0WLlxYL1q0SGutdVBQkA4MDEw146VLl7SHh4d+9913k5YtXrxYu7u7Jz3u3bu3rl27tr5x44bWWut9+/ZpJycnPXv27KRtNm3apAHdt29fHRcXp7XWukmTJvrWrVtaa60BXbduXR0aGqq11vrNN9/Uq1at0vv27dOFChXSS5Ys0VprbbFY9JAhQ3SdOnWSnmfdunXa1tZW//777/ds88wzz6R7vLTWety4cbpixYr3vN7ixYvrMWPGJC0bM2aM9vDw0CEhIfccQ1dXV/3rr79qrbW+cOGCtre31z///HOqxzG5VN+7+cBHaw7riqNW6eVBF/5bGHtH61lNtf7IU+trwQ9lP8AunUZdLZif8KNuGZdfWhIgcBE4F+PirSheX7yPWmXcGNuhltkJBcZY+C+++GLS4759+xISEsL27Vm7RX3evHkEBwfz7rvvJt1P0a1bNwoXLszMmTPv2bZo0aJ0794dAF9fX+bOnZvqc86cOZOwsDBGjRqVtKxbt268/PLLgDEv7/z58xk2bBhFixYFoF69ejzzzDOMHz/+vud74YUXsLMzLv/dunUr7u7/jcbauXNnPDw8APjkk09o3749n3zyCZUqVaJr166AMe/qoEGDOHjwIOvXrwdgwoQJ+Pv7J03+rpTirbfeolWrVpk4eoYZM2YQHh5+z1SQo0ePJiws7L5jWKJECTp06ABAuXLlqFWrFrlqyPMc9kab6jSsWJQxSw9w8mqEsdDeyRhZ08YGFvYzhlbORgXvwvKEOOPGqhsnod8yKOFNbLyFIfP2EJ+gmdnHj0L2+bTfvu0ksxNkSlRUFAMHDuTo0aPY2dklFemsTjK+Z88ebGxs6NGjxz3L3d3dCQu7dx7SChWsGwl19+7dlClTBlfXe7v/Pv3006R9AlSrVu2e9dWrV2fBggVcvXo1qYhntN/U1u3Zs4crV64QEBCQtMxisVCxYsWkWcJ2795932v29PRk2LBhVrzC+/dXpkwZChf+7zLlwoULU6ZMGXbv3n3PtuXL33t1m7u7O7du3cr0PvMLe1sbpgXWp/3ULQyeu4dlgx4zzhEW9YKus+HnrrByGHT9DrLpBs+CVfC1NoZMOLUJOk6HSs0B+GTtUYLO3WJGoB9eJVxMDikA7ty5Q4sWLWjQoAEbNmzAyckJMD6d6gccanbDhg1Jn6LTYmtrzh/99Pab1rratWuzefPmbEqUdSnzPoz/d3ldGXcnPu/hw/NzdjJ+5SE+7lbPWOH9OLR6F/6YAOUawKODsmX/BatL599ZsOt7eGw4+PUDYN2hy3y35TTPPVqR9vXKmBxQ3HXkyBEuXbpEt27dkop9ZiYYT23S8gYNGmCxWO45wQjGJYkLFy7MUs4GDRoQEhJCRERE0jKtNe+//z6RkZH4+Rl3XB47duyedseOHcPT0/OeT/dZ3f/x48dJSEi4Z/mbb77JwYMH79kmuXPnzjF16tSkx6kdr7T2FxISQnh4eNKy8PBwQkJCaNCgwQO9loIioHpJBgd4s3DXeX7ZfeG/FU1HQvX2sP5dOLMlW/ZdcAr+sbXGcMc1OsDj4wE4f+MObyzeR73y7oxpnzemVCsoqlSpgqurK+vXr0/6VDh//nyr26c2aXnv3r2pVq0aY8eOJS7OGMDq5MmTvP/++9SvXz9LOQcPHoy7uzsff/zfpXVz5szhjz/+wMXFBW9vb/r27cu0adO4edO4yWb//v2sWLGCcePGZWmfyY0aNYrbt28zZcqUpGUrV65k9erV1KhRA4CxY8eyY8eOpMnaLRYL48aN4/r160ltUjte6b3eSZP+6x6cNGkS7u7uDBqUPZ9K86PXWlfFv1Ix3l1+kBNXEv942thA51lQrLJxBWF2SOtsrtk/D/UqnZD9Wn9QRuuvmmkdE6G11jo6Ll4/Pe1vXWfcWn3ueuTD21cukR+udFi3bp328fHRNWvW1J06ddIffPCBBnT16tX1F198oVesWKH9/f01oH18fPQTTzyR1HbHjh26Ro0aulmzZrply5b65s2bWmvjKpPevXvratWq6YCAAN26dWv9119/JbXr16+fLlWqlHZ3d9ctWrTQ27ZtyzDnkSNHdPv27bWPj49u3ry57tGjh758+XLS+piYGD169Ghdq1Yt/cgjj2gfHx89Z86cpPVz587VPj4+GtD+/v567NixSesOHTqkW7RokfS6O3bseN/+//33Xx0QEKBr166tW7Zsqbt3767Pnj17zzarVq3S/v7+ulGjRrpx48Z69OjROj4+Pt3jNXDgQF2xYkXt6OioW7RokfScd19vvXr1tI+Pj27Xrp0+cuRIqsfwbt7OnTtrd3d3XapUKd2/f/90j2d+eO9a40pYlG4wYb1+fPJmHRkT99+K6PAHel7SuUon/09iHn4Zvm1l9N+//Ae4Gd0241Yc5Id/zvJ1vwY8Wbv0g+8nl8lLE0ELkVxBeu9uDb5G39nb6exbjsk9fB7KaLwPPIm5UqqWUmqDUmqrUipIKfWRUirDE75KKUel1OeJbf5RSv2mlPLO7AvIstg7xuTjUTchcEFSsV+9P4Qf/jnLi00r5ctiL4TIGx7zLsHwx6uyNOgii3adz/b9ZVjwlVIewCZgudb6MaAp0B6YbMXzzwL8gcZa60eBrcAmpVT2TxllscCyV+DSXuOSpzI+AJy5FsmoX/bj61mEUU/VyPYYQgiRnqGtqtLUuwRjVxziSMjtbN2XNZ/whwEKo3ijtY7EKPaDlVJl02qU+Em+P/Cx1vruKf/JQFHg1QfIbJ0/JsCRlcZwpDXaARAdl8CguXuws1XM6OOHg13BOWcthMidbG0UU3r64u5kz+C5e4iIyb7hJ6ypeO0wTgIkv+5rG2ALtEmnXVuMPxRJp5u11lHA3sTnzD5Bc2HL5+D3HDw6JGnx/606zOGQ23zew4dyRZyyNYIQQljLo7AjU3vX58z1SN5eeiDb7lewpuB7AylvbbyY+LtqBu3itdahqbRNr92DObMFfh0OlVpA+8lJd6yt2HuRedvP8UqLyrSqUSrbdp+b5NYT8kKkpSC/ZxtXLs7rbarz675LzN1+Llv2Yc2dtq5Ayrsw7j5O77ZUVyC1O2Vi0mqnlBoADADrb22/j1NRqNQMun1vTDaQqKizA21qleKNNtWz9rx5jL29PVFRUTg7O5sdRQirRUVFYW9vn/GG+dTAFlU4ejkcj8KO2fL81hT8CCDl3u8+Tm+knwjAIZXljmm101p/A3wDxmWZVmS7X6naxhg5KTSv5kHzag92V2NeUrJkSS5evEi5cuVwcnKSyddFrqa1JioqiosXL1KqVMH4Bp4aGxvFtN5ZuwnQGtYU/GAg5cnZu49PZNDOTilVMkW3TtkM2omHwM3NuBDq0qVLSXeVCpGb2dvbU6pUqaT3rnj4rCn4a4BXlFK2yU7cNgESgPXptPsN0BiXZf4KoJQqBNQHJmQ5sbCam5ub/OMRQiSx5qTtVIzC/QqAUsoZGAnM0FonncxVSv2hlNpw97HWOhiYA7yllLrbtTMSuEniJZ5CCCFyToaf8LXWV5VSrYCpSqk+GCdcfwPGptjUCUg5G+9AYCKwXSkVDYQBrbTW2Xt3gRBCiPtYNR6+1voQ8HgG2zyayrIYjE/1QgghTCa3mgohRAEhBV8IIQoIKfhCCFFA5Nrx8JVSV4GzD/lpSwDXHvJz5ldyrKwnx8o6cpys9yDHqqLWOtW7THNtwc8OSqldaU0MIO4lx8p6cqysI8fJetl1rKRLRwghCggp+EIIUUAUtIL/jdkB8hA5VtaTY2UdOU7Wy5ZjVaD68IUQoiAraJ/whRCiwJKCL4QQBUS+L/hKqaJKqe+VUlop5ZWJdk2VUtuUUn8rpYKUUq9nY0zTKaUGKKX2KKX+UkrtUEo9aUWbAKXUGaXU5hQ/L+ZE5uymlKqllNqglNqa+B74SCmV4fhTSilHpdTniW3+UUr9ppTyzonMZniA43Q0lffO4pzIbDal1PNKqetKqfFWbl9EKfU/pdRupdROpdQCpVSmZ4qxavC0vEop1Rr4DDiayXY1gHVAT631KqVUSSBIKWXRWk/JhqimUko9C0wCfLXW55RSzYH1SqkWWuvtGTSfo7Uen+0hc5hSygPYBEzQWk9XSrkA2zBGix2eQfNZQHWgsdY6Rin1LrBJKVU7v40U+4DH6bLWOiCbI+YqSqmiwALgGFAsE01/Aa4DDbXWWin1LfCbUqpRsnlKMqa1zrc/QGugKNAfY0x/Lyvb/QTsSbFsLMZY/o5mv66HfIwUxh3Nn6dY/gewJoO2AcB4s19DNh2XCUAoYJts2bNAPFA2nXbeGMOEd0y2zAljys+3zH5dueU4JW632ez8Jhyv8sCjif+trfn3gzFSsQbqJVtWIXFZj8zsP1936WitN2itb2ahaVvg3xTLtgFFgPuGgc7j6mC8eVJ7va2TTV5T0LQDdul7Pz1tA2yBNum0a4vxRzTpeGqto4C9ic+Z32T1OBVIWusLWut/MtmsHcY84AeSPc854CKZfE/l64KfFYlfuYoDl1Ksupj4u2rOJsp2d/uWU3u99kDFDNo3Tuyj/lsp9btSaqg1/bd5gDdZew94A/H63nmc77bNb+8dyPpxAnBRSn2TeN7ob6XULKWU58OPmOd5Y3R/pbyGPtPvqTz1D1Mp5Q6UyWg7rXWm+uxTcE38HZNi+d3HLg/w3Dkik8fpQV5vGHABo6vihlKqOsZsaE8B7TMVOvdxJWvHxBWITWV5TAbt8qqsHicw+rHnaK23Jc53PQM4kNgvfeIh58zLUjvGJC7L1KTVeargA92Bb63YTj3APiISfzumWH73ceQDPHdOycxxyvLr1VoHAS8le3xMKfUBMFsp5a8zPuGbm0WQtfdABJBaN5hjBu3yqqweJ7TWfZP9d7RSaigQiDFL3sCHGTKPS+0YQxbeU3mqS0dr/Z3WWmX084D7uIlxNrxsilV3H+f6Tx6ZPE7Bib9Te71xZH6I6rvHp3IW4+cWwWTtPRAM2CVe2ZWyba5/72RBVo/TfbTWdzC6h/L6e+dhCwZKK6VS1rZMv6fyVMHPQb8B/imWNQFuAZk94ZLbHQTOk/rr3ai1Tq17AgCl1ESlVKUUi8sn/r6Ycvs8Zg3QUCllm2xZEyABWJ9Ou98wrp5IOp6J3RX1E9flN1k6Tkqpx5VSL6VYZgeUIu+/dx62NRjdY3XuLkg811GezL6nzL5MKYcuhepPGpdlYvQ3hwJPJltWA+OrUrvExx4YfdUjzH4t2XR8nsX4VuOZ+LgpEA34J9vGBwgBXki2bDPwJWCT+LgYsAfYeXdZXv1J/H9+BRiU+NgZCAK+TLHdH8CGFMu+B/4GHBIfj8H4o+pm9uvKLccp8d/kSaBksmXjMfqlG5r9unLo2N13WSZQCONqnNmpHL8F/Df+2deJ/9ZsM7PPvNaHnylKqQbAZKB04qIFSqlooI3+75OrPcZBtr/bTmt9NPFO00+UUm8DhYEpOh/edAWgtf4x8VPoCqVUBMbx6KTv7YO3w7iePHlf4kfAq8A/Sqm7JyU3Ah9qrS05kz57aK2vKqVaAVOVUn0wXttvGPdjJOeEcd19cgOBicD2xPdbGNBK57ObruCBjtNGoC6wJvE954Qxw9NjWutd2Z/cPIl3E9+dkaq/UioA4z6YlRjn1ZwxjkdyXYEpwC6llAU4BbTVmbnpChktUwghCgzpwxdCiAJCCr4QQhQQUvCFEKKAkIIvhBAFhBR8IYQoIKTgCyFEASEFXwghCggp+EIIUUD8P2GOuqaoy4DAAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with np.load(\"data_1.npz\") as data:\n",
    "    r, p, theta, dr = data['r'], data['p'], data['theta'], data['dr']\n",
    "    \n",
    "x, y = r.T\n",
    "dx, dy = dr.T\n",
    "\n",
    "plt.plot(x, y, label=\"data\")\n",
    "plt.plot(x+dx, y+dy, label=\"after correction\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 478,
   "id": "e51c2fb8",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import Lasso\n",
    "\n",
    "def AB(r, theta, p):\n",
    "    n = r.shape[0]\n",
    "    A = [[[[0.0, 0.0] for _ in range(n)] for _ in range(n)] for _ in range(n)]\n",
    "    B = [[[0.0 for _ in range(n)] for _ in range(n)] for _ in range(n)]\n",
    "    p0 = (p-1).tolist()\n",
    "    #Не знаю, как это адекватно через numpy организовать, буду быдлокодить\n",
    "    for i in range(n):\n",
    "        for j in range(n):\n",
    "            for k in range(n):\n",
    "                idx = -1\n",
    "                try:\n",
    "                    idx = p0.index([i,j,k])\n",
    "                except ValueError:\n",
    "                    try:\n",
    "                        idx = p0.index([i,k,j])\n",
    "                    except ValueError:\n",
    "                        pass\n",
    "                \n",
    "                if idx > -1:\n",
    "                    A[i][k][j] = r[i]-r[k]-np.linalg.norm(r[i]-r[k],ord=2)/np.linalg.norm(r[i]-r[j],ord=2)*np.cos(theta[idx])\n",
    "                    A[i][j][k] = r[i]-r[j]-np.linalg.norm(r[i]-r[j], ord=2)/np.linalg.norm(r[i]-r[k], ord=2)*np.cos(theta[idx])\n",
    "                    B[i][j][k] = 0.5*np.linalg.norm(r[i]-r[j], ord=2)*np.linalg.norm(r[i]-r[k], ord=2)*np.cos(theta[idx])-0.5*np.dot(r[i]-r[k], r[i]-r[j])       \n",
    "    \n",
    "    return np.array(A), np.array(B)\n",
    "\n",
    "\n",
    "def sum1(A, i, j):\n",
    "    n = A.shape[0]\n",
    "    temp = np.array([0.0, 0.0])\n",
    "    for k in range(n):\n",
    "        temp += A[i,k,j]\n",
    "    return temp\n",
    "\n",
    "\n",
    "def sum2A(A, i):\n",
    "    n = A.shape[0]\n",
    "    temp = np.array([0.0, 0.0])\n",
    "    for j in range(n):\n",
    "        for k in range(n):\n",
    "            temp += A[i, j, k] + A[i, k, j]\n",
    "    return temp\n",
    "\n",
    "def sum2B(B, i):\n",
    "    n = B.shape[0]\n",
    "    temp = np.array(0.0)\n",
    "    for j in range(n):\n",
    "        for k in range(n):\n",
    "            temp -= 0.5*(B[i, j, k] + B[i, k, j])\n",
    "    return temp\n",
    "    \n",
    "    \n",
    "def system_b(r, theta, p):\n",
    "    A, B = AB(r, theta, p)\n",
    "    n = A.shape[0]\n",
    "    S = np.zeros((n,n))\n",
    "    b = np.zeros((n,1))\n",
    "    for i in range(n):\n",
    "        b[i] = -sum2B(B, i)\n",
    "        for j in range(n):\n",
    "            if i == j:\n",
    "                S[i, j] = -0.5*np.linalg.norm(sum2A(A, i),ord=2)\n",
    "            else:\n",
    "                S[i, j] = np.dot(sum2A(A, j), sum1(A,i,j))\n",
    "    return A, B, S, b\n",
    "\n",
    "\n",
    "def sol_lasso(r, theta, p):\n",
    "    n = r.shape[0]\n",
    "    A, B, S, b = system_b(r, theta, p)\n",
    "    model = Lasso(alpha=1.0, fit_intercept=False)\n",
    "    model.fit(S, b)\n",
    "    l = model.coef_\n",
    "    dr = [[0.0, 0.0] for _ in range(n)]\n",
    "    for i in range(n): \n",
    "        dr[i] = l[i]/2 * sum2(A, i)\n",
    "    return np.array(dr)\n",
    "\n",
    "def sol_lstsq(r, theta, p):\n",
    "    n = r.shape[0]\n",
    "    A, B, S, b = system_b(r, theta, p)\n",
    "    l = np.linalg.lstsq(S, b, rcond=None)[0]\n",
    "    \n",
    "    dr = [[0.0, 0.0] for _ in range(n)]\n",
    "    for i in range(n): \n",
    "        dr[i] = l[i]/2 * sum2(A, i)\n",
    "    return np.array(dr)\n",
    "\n",
    "def angles(r, p):\n",
    "    theta = np.zeros(p.shape[0])\n",
    "    count = 0\n",
    "    p0 = (p-1).tolist()\n",
    "    for i, j, k in p0:\n",
    "        temp = np.dot(r[i]-r[j], r[i]-r[k])/np.linalg.norm(r[i]-r[j], ord=2)/np.linalg.norm(r[i]-r[k],ord=2)\n",
    "        theta[count] = np.arccos(temp)\n",
    "        count += 1\n",
    "    return theta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 479,
   "id": "4c63f481",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7feb00d6d1b0>"
      ]
     },
     "execution_count": 479,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with np.load(\"data_2.npz\") as data:\n",
    "    r, p, theta, dr = data['r'], data['p'], data['theta'], data['dr']\n",
    "    \n",
    "x, y = r.T\n",
    "dx, dy = dr.T\n",
    "dx_lasso, dy_lasso = sol_lasso(r, theta, p).T\n",
    "dx_lstsq, dy_lstsq = sol_lstsq(r, theta, p).T\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(x, y, color=\"black\", label=\"data\", s=400, alpha=0.2)\n",
    "plt.scatter(x+dx, y+dy, color=\"blue\", label=\"after correction\", s=100)\n",
    "plt.scatter(x+dx_lasso, y+dy_lasso, color=\"red\", label=\"after sol_lasso\", s=100)\n",
    "plt.scatter(x+dx_lstsq, y+dy_lstsq, color=\"green\", label=\"after sol_lstsq\", s=100)\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 481,
   "id": "2e9048f8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sol_lasso :  [1.60244721 1.78332771 0.14900583 1.21385168]\n",
      "sol_lstsq :  [1.34827534 2.30829296 0.29572171 1.62005206]\n",
      "data      :  [1.5708   1.5708   0.523599 1.0472  ]\n"
     ]
    }
   ],
   "source": [
    "r_lasso = r+sol_lasso(r, theta, p)\n",
    "r_lstsq = r+sol_lstsq(r, theta, p)\n",
    "\n",
    "print(\"sol_lasso : \", angles(r_lasso, p))\n",
    "print(\"sol_lstsq : \", angles(r_lstsq, p))\n",
    "print(\"data      : \", theta)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e4339f9",
   "metadata": {},
   "source": [
    "__Вывод:__\n",
    "\n",
    "- видимо, я где-то ошибся, пока не могу понять где\n",
    "\n",
    "\n",
    "- sklearn.linear_model.Lasso используется, чтобы найти разреженное решение на $\\lambda$, что должно хорошо работать, когда матрица $S$ разрежена"
   ]
  }
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