210028_Abhinaba_A2.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 208,
   "id": "2605f018",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 209,
   "id": "38a7c77f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rng = np.random.RandomState()\n",
    "x = 10 * rng.rand(50)\n",
    "y = 3*x - 4 + rng.randn(50)\n",
    "plt.scatter(x, y);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 210,
   "id": "394ce5e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rng = np.random.RandomState()\n",
    "x_p = 10 * rng.rand(50)\n",
    "y_p = x_p**2 - 5*x_p + 6 + rng.randn(50)\n",
    "plt.scatter(x_p, y_p);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 211,
   "id": "cc484905",
   "metadata": {},
   "outputs": [],
   "source": [
    "def loss_1(y_new, y):\n",
    "    l = np.abs((y_new - y)**3)/3\n",
    "    return l.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 212,
   "id": "36342dfc",
   "metadata": {},
   "outputs": [],
   "source": [
    "def loss_2(y_new, y):\n",
    "    m = np.abs(y_new - y)\n",
    "    return m.mean()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 213,
   "id": "7947ead6",
   "metadata": {},
   "outputs": [],
   "source": [
    "def loss_3(y_new, y):\n",
    "    n = (y_new - y)**4 /4\n",
    "    return n.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 214,
   "id": "f77ee3ce",
   "metadata": {},
   "outputs": [],
   "source": [
    "def loss_4(y_new, y):\n",
    "    o = np.abs(y_new - y)**7 /7\n",
    "    return o.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 215,
   "id": "91807f7a",
   "metadata": {},
   "outputs": [],
   "source": [
    "L_1=[]\n",
    "L_2=[]\n",
    "L_3=[]\n",
    "L_4=[]\n",
    "N=x.shape[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 216,
   "id": "5104c654",
   "metadata": {},
   "outputs": [],
   "source": [
    "def forward_pass(x,m,c):\n",
    "    return m*x+c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 217,
   "id": "4546faa3",
   "metadata": {},
   "outputs": [],
   "source": [
    "def forward_pass_p(x,a,b,e):\n",
    "    a*x**2 + b*x + e"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 218,
   "id": "a12f86b8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0.32167626]), array([-1.18290388]), array([-1.25379754]))"
      ]
     },
     "execution_count": 218,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m = np.random.randn(1)\n",
    "a = np.random.randn(1)\n",
    "b = np.random.randn(1)\n",
    "m,a,b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 219,
   "id": "1eeb7484",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 4000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 8000\n"
     ]
    },
    {
     "data": {
      "image/png": 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QfcUFxVo/fb2GOYb5vD7njTmR3dbt6c80bpy0bJl1zM4mbybG4qr30/33369XXnlFW7ZskbPT2mN2drYka8YmJ6djjfTAgQPdZm86s9vtshMhA0BSKi4oVltbm65ff323a556Neunr49MIb6u/Znuuov+THEgLmZqTNPUfffdp8rKSr355psaMWKE1/URI0YoOztbGzdubD934sQJbd68WRMmTIj2cAEAccDd5taDbzzo81pU6tWwzBR34iKomT17tlatWqUXX3xR6enp2r9/v/bv368vvvhCkrXsVFZWpgULFuill17SH//4R82aNUsDBw7UzTffHOPRAwBiIeb1ahB34mL5aenSpZKkoqIir/PPPvusZs2aJUl65JFH9MUXX+g73/mOjhw5ossuu0xvvPGG0tPTozxaAEA4udvcqt5brX0t+5STnqPC4YUBJfnGvF4N4k5cBDWB9NQ0DEPz5s3TvHnzIj8gAEBUhNKUMub1ahB34mL5CQCQekJtShnzejWIOwQ1AICwc7e5VVVfpdW7V6uqvqpbsm44mlJ2rVczrkn6wwppXFNH/ZryKeXRqVeDuBAXy08AgOQRyJJSMEm+RflFfu8rLijWf1/477J//4dqtLdqUr30rfelAwVOlU8pj8x2bsQtZmoAAGET6JJS2JJ8Gxo06Tc79bWPW3X9/7O2VN/78ZmqK/yNio/nWR21kTKYqQEAhEVvS0qGDJVtKNO086eFnuTb0CAdOmQ1jDzF9rdWSVL/z/8qXfqVTh/e+2YUJAdmagAAYRHMklKfk3xraqRJk6T8fK+Axqd+/ayO2kgZBDUAgLAIZkmpp6aUPSb5rlwpbdokTZ5sBS092b7d6qiNlEFQAwAIi2CXlPw1pXQ6nN49mxoapNpaaedOae1a69yuXdKKFb4/oIdGx0huhhlI5bsk4XK5lJGRoebmZjkcjlgPBwASkr8KwO42t/Ir8tXkavKZV2PIkNPhVF1pndcMTNf3m+CcoN2/f1bOf/tPffKDBzRu2j2d3sSwcmQ8R18uvFA6fFjascNqPImEF+j3NzM1AICAVe6pVH5FviY+N1E3V96sic9NVH5Fvir3VPZ5ScmWZlNRfpFuuugmHf7isM79+bn6nyfvUdaOP+mtBffo/hmD1GY79RpPINM5oBkxQvr5z60cm+xsacMGq4M2AU3KYaYGABAQz3btrrMwnoDFs2Tkq05NriO357oxNTU6dMcMPTjiL/ogU3rtBSnrmPTZ6dI3ZkgXHJReeMnH67ZulS67rGPm5sQJumUnoUC/vwlqAAC98iwt+dvd1HVpKdgmlW3336+0JUs6nstaSvAcPcy0NBltbVJamtTWZuXajB0blt8R8SvQ72/q1AAAehVsBWDPklJn3QIdc7hsh49IhqGTq1epvyRTkqGOQMZz/HuadPRLku38kXJ850HpmWekxkYpMzP8vywSFkENAKBXoVYA9ixJZe35RIs2Sg9fJdX8quP6l04dPUFNV5fdIX2QKa24/oe66eKbpbvuYqkJ3ZAoDADoVSgVgDu3Trj1PbX3Z7ql2JqBkToCGc+XkicvonM7yxP9pBzH0FMvMAho0A1BDQCgV32qAFxTI3PSRL3y1F0a86mpMZ9KN3xgXbrxj9Kfhkizpvn+vA/Olu7+F6l2qLTvDOng6fJdYRjohOUnAECvPNu1S9aVyJDhtQPK73btlStlbKrSik0dp9pOHc8+Ju1c3nHeNAwZpim3JJukW6+V3h0mLR8n2d3SiX6G1vuqMAx0wkwNACAgAVUA9lH9t9ku/f3UBI+vBOAjdunwhSOkZcvUPPpcHUhP04EzTt1gSJmDcr0rDAN+sKUbABCUHrdrd25RcKp2TNdt2Z2NvctKAH79tjdVNGKiZJpy/+0LVX/2js+KxcFsE0fyYEs3ACAifG3XbrdqlTRrlnTyZHvV384BjSfA8SwzGZKyBuWqMO/r1g2GIduAgd3e31dBP6fDqYopFczgoB3LTwCA4NXUSJMmWcfOZsywumP7cHCAVDPUOwH4wOl+unF30nn3VGdNriaVrCtR5Z7KkH8dJAdmagAAwVu5Utq0SXr+eavnki+eqr+njrffebZePeugZFgJwOee7lTFv/Q80+Juc6t0Q6nPBpmmTBkyVLahTNPOn8ZSFAhqAAABamiQDh2ycmVOJQFrzRpp5kxrqWnIECkvz6rym50t5eZKt9/eXv33pYe2qbqtLqicmGArGSO1EdQAAAKTn9/xsych+OBBady4jvOmaXXHrq+X+ve37jtV/ddmt6tIeUF9ZKiVjJFayKkBgBTjbnOrqr5Kq3evVlV9ldxt7t5fJFlJwP1O/bewZ+Os59ivn3Xdw27vCHxCqP4bSiVjpB5magAghYS0i2jGDKmgwHtmxmP79oh0y/ZUMm5yNfnMq/F0B6fSMCRmagAgZYR1F1FamvcxQjyVjCV1a9Hgt5IxUhZBDQCkgN52EUlS2Yay3peiPEnA48ZJy5ZZx+xs63yEBFTJGBAVhQEgKXWtvutuc+ufnv+n9uvjmqRFG6VHrpJqO8UKm2Zu6n0XUWtrRxKwaUonTkSlYzYVhVMXFYUBIEX5ypsZNGCQ1z23vidNqpe+9b53UBPQLqLOAUwIScDB6rGSMSCCGgBIKp68ma7LTIe/OKzhf5WGHJdMSTd8YJ2/8Y/Sc5dY7QoODWQXERIby08AkCTcbW7lV+S3z9B0XWIy53Xc6+nB1LXZpNt9kiUdxJ1Av79JFAaAJNG5+u64JumlNR1LTJI0o1j6u2fTkryPf0+TdvyklIAGCY2gBgCSxL6WfRr+V2nsp9JDb0u5Ldb5G/8ojflU+vMQ6dobfb+2et1/6NJHyqM1VCAiyKkBgCRx4E871FDe/XzmMWnncu9zpmHIMM3246QRk6IyRiCSmKkBgCTgbnOr9Maf+bzWuWTd49edKTMrS8b48dKyZdYxwnVmgGghqAGAJFC9t9orZ8aXxyZKXyp9UEZDg9XW4O67rWN9vdWEEkhwBDUAkAT2tezTixdLl93h/57XRkojB40MW7NJIN4Q1ABAEuhaX8ZTq6Pt1PHQAOnA6dShQXIjqAGAJODpZn3wdGnfGVJNjnT31VLNUGnf6dYMTlpuLt2skdQIagAgHtXUSJMmWccAeLpZN2UYGlEmfeUuafml0mV3SiMelOoGG3SzRtIjqAGAeLRypbRpk/T88wG/xNPN+uxBzo4tT4aUOSiXbtZICbRJAIB4UFMjPfCAdO+90qhR0tSp0oED1lbr116zumEPGSLl5fX6VnSzRrKhSzcAJJKVK6WtW62H1LE76eBBady4jvsC+O9QulkjVRHUAECsNDRIhw5ZAczatd7XPMGL59ivn7RiRVSHBySauMmp2bJli6655hoNHTpUhmHot7/9rdf1WbNmyTAMr8fll18em8ECQDjk50vjx1szMQcP9nzv9u3SjBlRGRaQqOImqDl27JguueQSLVmyxO89U6ZM0b59+9ofv//976M4QgDoI387mVatsmZgJP/LSmlx8880EPfiZvlp6tSpmjp1ao/32O12ZWdnR2lEABAmnXcyjR/fcX7GDKmgwDtnxuPCC63E4WeekRob6c0EBCBugppAVFVVKTMzU2eeeaauvPJKPfnkk8rs4X/ora2tam1tbX/ucrmiMUwA8J0vs2aNNHOm751MaWlSW1vHceVKK9i56y7pxAlaGQABSJigZurUqbr++uuVl5enuro6Pf7445o0aZJqa2tl9/M/9oULF2r+/PlRHimAlFVTIz3yiLRokXTppR3ne9rJlJkpMytLLVln6s/TrtAFL7+l9M/+KiMrq+O1BDRAQBJmsfaGG27Q1VdfrdGjR+uaa67Ra6+9pr/85S/63e9+5/c1c+fOVXNzc/ujsbExiiMGkHI6LzP5ypfpvJNp1SpJUmXLO/qHh/op47oPdZntGWVc96H+4aF+qmx5Jwa/AJDYEiao6SonJ0d5eXn66KOP/N5jt9vlcDi8HgAQVg0NUm2ttHOn9zJTQYH/LdindjJV7qlUyboS/e/xJq8KwP97vEn/uu5f9eDrD6qqvkruNnc0fhMg4SXM8lNXn3/+uRobG5WTQ8dZADGUn9/xs79lpq75MrKq/pZuKJUp/8X0yreVq3xbuZwOpyqmVNDmAOhF3MzUHD16VLt27dKuXbskSXV1ddq1a5f27t2ro0eP6uGHH9bWrVtVX1+vqqoqXXPNNRoyZIiuu+662A4cQGrrbZkpI8MKcJYts47Z2VJmpqr3VusT1ycBfUSTq0kl60pUuacyAr8AkDziJqipqanRmDFjNGbMGEnSnDlzNGbMGP3whz+UzWbT7t27NW3aNJ133nmaOXOmzjvvPG3dulXp6ekxHjmAlOCv1syMGdZyki/bt0uffWYd777bOtbXS06n9rXsC/ijPbM5ZRvKWIoCehA3y09FRUXqqbfm66+/HsXRAEAX/mrNdOZjmclr51KnnUw56cEtnZsy1ehqVPXeavo6AX7ETVADAHEn0FozmZnWslJurnT77QEVzCscXiinw6kmV1OPeTVdBTPDA6QaghoA8CeQJGDTlJxOa1mpf3/rvk4F89xtblXvrda+ln3KSc9R4fBC2dJssqXZVDGlQiXrSmTICDiwCXaGB0glcZNTAwBxJ8BaM5KsZSVP4HNqmalyT6XyK/I18bmJurnyZk18bqLyK/LbE36LC4q1fvp6DXMM63UohgzlOnJVOLwwXL8dkHQMs6dEliTjcrmUkZGh5uZmatYACMzOnb57M9XWSmPH+n2ZpwZN1xkY41RBmvXT17dv0fbM5rz855dVvr2828yNr9cAqSTQ729magAgEJ5u2QF0ze6pBo2vnUy2NJuK8ov0syk/02+m/6bbzI3T4SSgAQJATg0A9KQPScC91aDpaSdTcUGxpp0/zWceDoCeEdQASA2dm03625LtSw9JwP4EukPJ332emRsAwWH5CUDyq6mRrruuo85MsHwkAfck0B1K7GQCwougBkDy8jSbfOop6ZNTy0Fr1ljJv7W11vUI8NSgMdq7VHpjJxMQGSw/AUhODQ3edWY8DhzoXmcmDLrWo1k8ebFuWH+D351M5VPKyZMBwoygBkBy8hXQdNW5zkwIKvdUqnRDqVdysNPh1MMTHtbqP67udr58Sjk7mYAIIKgBkJxWrZJmzZJOnvR9/cc/tppRhshfPZomV5OeevsprStZpyGnD2EnExAFFN8DELf8tRgImL/CeVKvxfMCHV9+Rb7f7duGDDkdTtWV1hHIACEI9PubmRoAccnfkk7FlIqgl25MSUbn46BBMnqoMxOoUOrRAAg/dj8BiDueJR1PwDCuSfrDCil7zycqWVfS3jupV5mZ+tuQM/W+80u6+2ppx1Bp3xnSFff0V2XLOwGPx93mVlV9lVbvXq2q+qr2SsCh1qMBEF7M1ACIK11bDIxrkl5aI+W2SLe8L9UOs1oMTDt/Wq9LOpUt7+jme/6qVpskQ1o+Xurvlv7e7zOVrCsJqPVATzNG1KMB4gszNQDiimdJZ/hfpbGfSg+9bQU0knTjH6Uvf2rq7D836p23/0+P7+MJjlr7Se3lYgzpRD/f/Zd86Tpj5NHkalLJuhIdPHaQejRAHCGoARBX9rXs09V/lhrKpdrl0k0fdFw7+5i0c7l1/quFN/X4PsHku/gSSFPKh954SD+b/DNJ6hbYUI8GiD6CGgBxJSc9R/93je9rnf/B+tPPvt/j+4Sa7xJoUDTk9CFaP309nbWBOEBODYDY6dxk8uyzpUOHVGierha7ofRW/9UmFk116KEHnujxrUPNdwkmKLrpopvorA3EAYIaANHnCWYyMzuaTP7nf0qSbJLO6OXl429/vNeAwdN/qbcaMv7yXYINiuisDcQey08AouvVV6Wrr7aCmVdesc6tWWNV+LVZgYqvtFvPvE3rmWdo0mU39voxtjSbbhrdc95NT/kuNKUEEg9BDYDo8HTM/uY3raaSkvTFF9bxwAHp8cclt++dSB/c/k21XHy+zKws2Wt2SU5nrx9XuadST739lN/rD094uMd8F1uaTRVTKiSRBAwkipDaJBw/flx79+7ViRMnvM5ffPHFIQ8sEmiTAMSIv47ZXdlsVmCTlia1tUmGYXXRrq2VxoyRTpyQ7PZe3yac7Qt81anJdeTSlBKIooi2STh48KC+/e1v67XXXvN53e3nv7YApKhAAhrJWpq67TYpN1e6/XbpmWekxkYr98YwAgpopPC2LyguKCYJGEgQfQpqysrKdOTIEW3btk0TJ07USy+9pM8++0z/9m//pp/+9KfhHiOARNdbx2yPrCypvl7q398KYu66K+DZmc7C3b6AJGAgMfQpqHnzzTf18ssv69JLL1VaWpry8vJ01VVXyeFwaOHChbr66qvDPU4AiWzGDKmgwH/H7AsvlA4ftmZkOgcwQczOdEb7AiA19SlR+NixY8o81eF20KBBOnjwoCTpoosu0s6dO8M3OgDJyziVfDt4sLRhgzVD4yMB2F8zyZ6wcwlITX0Kas4//3x9+OGHkqQvf/nL+uUvf6mmpiYtW7ZMOTn8lw8AHzIzpexsa7Zm6VJp/Hjr+fbtVg6NjxmZyj2Vyq/I18TnJurmyps18bmJyq/I77VLNzuXgNTUp91PL7zwgv7+979r1qxZevfdd/XP//zP+vzzz9W/f3+tWLFCN9xwQyTGGjJ2PwEx1trakS9jmj3my3iaSXbtveQJSvraYZudS0DiCfT7O6Qt3R7Hjx/Xn//8Zw0fPlxDhgwJ9e0ihqAGSAzh3JLtbnOzcwlIcIF+f/dp+emJJ57Q8ePH258PHDhQY8eO1emnn64nnui5HwsA9CbUDtudeXYu3XTRTSrKLyKgAZJYn4Ka+fPn6+jRo93OHz9+XPPnzw95UADiQE2NNGmSdYyycG/JBpAa+hTUmKYpw+i+q+C9997ToEGDQh4UgDiwcmVHs8koY0s2gL4Iqk7NWWedJcMwZBiGzjvvPK/Axu126+jRo7rnnnvCPkgAUVBTIz3wgHTvvdKoUdLatdb5NWukmTOtxN4hQ6S8vJA+JpAcF8+W7CZXU7dEYan3DtsAUlNQQU15eblM09Rtt92m+fPnKyMjo/1a//79lZ+fr69+9athHySAKFi5Utq61XpIHXVkDh70LpoXwt4CX7uRnA6nKqZUeO1G8mzJLllXIkOGV2DDlmwA/vRp99PmzZs1YcIEfelLX4rEmCKG3U9AFw0N0qFDVgAzdWpH92xf+vWTVqywqgP3QV+2aLMlG4AUxS3dX3zxhf7+9797nYvXgIGgBuiic26cp3aMP7W10tixffqYULZosyUbQES3dB8/flz33XefMjMzdcYZZ+iss87yegBIEKtWWTMwkv+AJq1P/0x4CWWLNluyAQSqT/9affe739Wbb76pp59+Wna7Xb/+9a81f/58DR06VCtXrgz3GAFEyowZVpsCXy68UFq2zMqnyc622hz00ct/fjmg+9iiDSAUfQpqXn31VT399NMqKSlRv379VFhYqB/84AdasGCBXnjhhXCPEUBfBVNrxjMj4zmuXCndfbcV9PhpNhkId5tbL+wO7N8FtmgDCEWfgprDhw9rxIgRkqz8mcOHD0uSrrjiCm3ZsiV8owMQmkBqzXRuNNl5ZiYry7puGH77MwWiem+1Dh4/2Ot9Zw88my3aAEIS1JZuj3POOUf19fXKy8vThRdeqHXr1ukrX/mKXn31VZ155plhHiKAoHTe0RRIrRmn05qJ8TSavOuuHhtNBivQJaUZF88gXwZASPoU1Hz729/We++9pyuvvFJz587V1VdfrZ///Oc6efKkFi9eHO4xAghGfn7Hz4HWmukcwIQ4M9NVoEtK086fJondTgD6Lixduvfu3auamhqde+65uuSSS8IxrohgSzeSTk2N9Mgj0qJF0vjx1rkXXpBmzZJOnux+f4i1ZvrCs527t+rAdaV1evnDlwMqzgcgtURsS3dbW5v+67/+S//yL/+i0aNH66KLLtJ9992no0eP6uKLL+7zgLds2aJrrrlGQ4cOlWEY+u1vf+t13TRNzZs3T0OHDtWAAQNUVFSkDz74oM+fByQFXzkzPe1o2r49qgGN1FEdWOootOfRuTrwyx++rJJ1Jd22fje5mlSyrkSVeyqjM2AACSuooMY0TX3zm9/UHXfcoaamJl100UUaNWqUGhoaNGvWLF133XV9HsixY8d0ySWXaMmSJT6vL1q0SIsXL9aSJUu0Y8cOZWdn66qrrlJLS0ufPxNISA0NViG8nTu9c2Z27rTONzR03Nt1R1OMFBcUa/309RrmGOZ13ulwav309Zp2/jSVbij1OZPjOVe2oUzuNndUxgsgMQWVU7NixQpt2bJFf/jDHzRx4kSva2+++aauvfZarVy5UrfeemvQA5k6daqmTp3q85ppmiovL9djjz2m4mJrCvq5555TVlaWXnzxRd19991Bfx6QsALJmWlstHYw5eZKt98uPfOMdS6EWjOhKi4o1rTzp/nMl6mqrwq4OF9RflH0Bg0goQQV1KxevVrf//73uwU0kjRp0iQ9+uijeuGFF/oU1PSkrq5O+/fv1+TJk9vP2e12XXnllXr77bf9BjWtra1qbW1tf+5yucI6LiAmVq3qyJnxpMR5jp6cmQjvaOorT3XgrgLdIUVxPgA9CWpO+v3339eUKVP8Xp86daree++9kAfV1f79+yVJWZ66GadkZWW1X/Nl4cKFysjIaH/k5uaGfWxA1AWaM2O3d8zkhHlHU7gFukOK4nwAehJUUHP48OFugUVnWVlZOnLkSMiD8scwvJMMTdPsdq6zuXPnqrm5uf3R2NgYsbEBMREnOTOhKhxeKKfD2S2R2MOQoVxHLsX5APQoqH8J3W63+vXzv2Jls9l00tc20hBlZ2dLUrdZmQMHDvQYZNntdjkcDq8HkBT8VQGOYc5MKALdIUW9GgA9CSqnxjRNzZo1S3Y/09id81fCacSIEcrOztbGjRs1ZswYSdKJEye0efNm/eQnP4nIZwJxLU5zZkLh2SHlq05N+ZRy6tQA6FVQQc3MmTN7vaevScJHjx7Vxx9/3P68rq5Ou3bt0qBBgzR8+HCVlZVpwYIFGjlypEaOHKkFCxZo4MCBuvnmm/v0eUDCi2AV4GjwVTm4px1SANCbsFQUDoeqqiqfu6pmzpypFStWyDRNzZ8/X7/85S915MgRXXbZZfrFL36h0aNHB/wZVBQG4kPlnkoqBwMIWKDf33ET1EQDQQ0Qe5V7KlWyrqRboT1P7sz66esJbAB4iVibBADoK3ebm8rBACKGoAZA1FTvrQ64cjAABIugBkDUUDkYQCQR1ACIGioHA4gkghoAUUPlYACRRFADIGqoHAwgkghqAESVp3LwMMcwr/NOh5Pt3ABCQp0aADHhq6IwMzQAfAn0+zuoNgkAEC62NJuK8otiPQwASYSgBkA3zKIASEQENQC8gpiPDn+k5bXL1dTS1H6dvkwAEgFBDZDifDWX7KrJ1aSSdSUk8gKIa+x+AlKYp7lkTwGNRF8mAImBoAapp6ZGmjTJOqawnppL+kJfJgDxjqAGqWflSmnTJun552M9kpjqrbmkP/RlAhCvyKlBamhokA4dkgxDWrvWOrdmjTRzpmSa0pAhUl5ebMcYZX0NTujLBCBeEdQgNeTnd/xsnCrPf/CgNG5cx/nUqUMpKfjgxJAhp8NJXyYAcYvlJ6SGVaukfqdieE/w4jn262ddTzG9NZfsjL5MABIBQQ1Sw4wZ0vbtvq9t325dTzE9NZfsir5MABIBy09IPWlpUltbxzGFeZpLdq1T43Q4defYOzVy0EgqCgNIGAQ1SB2ZmVJ2tpSbK91+u/TMM1Jjo3U+CQXa6qC4oFjTzp9GWwQACY8u3Ugtra1S//5WsrBpSidOSHZ7rEcVdr6qBNPqAECiCvT7m5wapBa7vWP3k2EkdEDjbnOrqr5Kq3evVlV9VXulX39Vgj2tDir3VMZiuAAQcSw/AQnI30zMzyb/TA++8aDPKsGmTBkyVLahTNPOn8byEoCkw0wN4hstDbrpaSbm+vXX91glmFYHAJIZQQ3iGy0NvPTUrynQHk4SrQ4AJCeWnxB/aGngV1/7NXVFqwMAyYigBvGHlgZ+hTrDQqsDAMmM5SfEH1oa+BXMDEvXKsG0OgCQ7AhqEH9oaeBXb/2aDBnKdeRqXck6DXMM87pGqwMAyY7lJ8Q3Whp48fRrKllXIkOGV3Jw55mY4oJiFRcUUyUYQEohqEF8SrGWBsHoqV+TJ6CRrACoKL8oRqMEgOijTQLiV4q0NOirQHs7AUCiC/T7m5kaxK/OAUyCtzSIBGZiAMAbicIAACApENQgdLQyAADEAYIahI5WBgCAOEBODfqGVgYAgDhDUIO+oZUBACDOsPyEvqGVAQAgzhDUwL+eEoBpZQAAiDMENfAv0ATgtDTvIwAAMUBODbwFkwBMKwMAQByhTQK8GYb3z6bZcfTo/DOtDAAAERbo9zfrBals5UrprLOso0ewCcB2e0cgRCsDAEAMJUxQM2/ePBmG4fXIzs6O9bAS209/Kv31r9LixR3nSAAGACSohMqpGTVqlP77v/+7/bnNRkfioP3P/0h1ddasyu7d1rn335deeMGakRkxQhowwDqflia1tXUcAQCIYwkV1PTr14/Zmb6oqZEeeURatEi64oru101TuuWWjueNjSQAAwASTkIFNR999JGGDh0qu92uyy67TAsWLNA555zj9/7W1la1tra2P3e5XNEYZvzpvDX73nulpUv933vvvZLTKdXXdyQA33UXCcAAgLiXMDk1l112mVauXKnXX39dv/rVr7R//35NmDBBn3/+ud/XLFy4UBkZGe2P3NzcKI44xhoapNpaaedO763Zd9wh/fjHvl+zapX09NPWzyQAAwASTMJu6T527JjOPfdcPfLII5ozZ47Pe3zN1OTm5qbGlu5AtmZ3tWoVicAAgLiT9Fu6Tz/9dF100UX66KOP/N5jt9vlcDi8Himjp63ZNpsV4AwcKN18s3VMS5POOy82YwUAIAwSKqems9bWVu3Zs0eFhYWxHkp8mjFDKijw7prt8c470j/8g3TGGR07m44elVIp6AMAJJ2Emal5+OGHtXnzZtXV1Wn79u0qKSmRy+XSzJkzYz20+OerN5PD4X2egAYAkOASZqbmk08+0U033aRDhw7p7LPP1uWXX65t27Ypz9OHCN3RmwkAkEISNlG4L1Ky9xO9mQAACS7Q7++EmalBH3UOYNiaDQBIYgmTUwMAANATghoAAJAUCGoAAEBSIKgBAABJgaAGAAAkBYIaAACQFAhqoqGmRpo0yToCAICIoE5NNKxcKW3aJD3/vDR+fFQ/2t3mVvXeau1r2aec9BwVDi+ULc0W1TEAABANBDWRUFMjPfCAdO+90qhR0tq11vk1a6SZM63KvkOGSBFu8VC5p1KlG0r1ieuT9nNOh1MVUypUXFAc0c8GACDaaJMQbjU10nXXSZ90BBLtLQo8R48I/ukr91SqZF2JTHl/hiFDkrR++noCGwBAQgj0+5ucmnCoqZEmTLCWl556yjugkTqCF8+xXz9p1aqIDcfd5lbphtJuAY2k9nNlG8rkbnNHbAwAAEQby0/h8ItfSFu3Wo9AbN8ujR0bseFU7632WnLqypSpRlejqvdWqyi/KGLjAAAgmghq+qqhQTp0yFpSWrEisNekpUltbREdliTta9kX1vtihSRnAEAwCGr6Kj8/8HuHDZMef1x65hmpsVHKzIzYsCQpJz0nrPfFAknOAIBgkVPTV6tWWbkxgXj5Zenuu61lp/p6yemM6NAKhxfK6XC2JwV3ZchQriNXhcMLIzqOvvIkOXddQmtyNalkXYkq91TGaGQAgHhGUNNXM2ZYQYo/xqmAYvBgKSur45zdHvGh2dJsqphSYX1kl8DG87x8SnlcLuWQ5AwA6CuCmnBI6/JnnDvXKrKXnW0FPhGemfGluKBY66ev1zDHMK/zToczrrdzB5Pk3BfuNreq6qu0evdqVdVXERwBQBIhpyYUmZlW4JKbK91+u/SrX0lNTdJ3viM9+aR04kRUZmb8KS4o1rTzpyVUsm0kk5zJ0wGA5EZQEwqn08qR6d/fWlq66y7vQCaGAY2HLc2WUNu2I5Xk7K8YoSdPJ55nrwAAgWH5KVR2e0f+TJRyZpJZJJKcydMBgNRAUIO4Eokk50jn6QAA4gNBDeJOuJOck6UYIQCgZ+TUIC6FM8k5GYoRAgB6R1CDuBWuJGdPnk6Tq8lnXo0hQ06HM26LEQIAAsPyE5JeIhcjBAAEjqAGKSFRixECAAJnmKbZfT4+SblcLmVkZKi5uVkOhyPWw0EM0PkbABJPoN/f5NTAp2T98k+0YoQAgMAR1KAb2gkAABIROTXw4mkn0LVYnaedQOWeyhiNDACAnhHUoB3tBAAAiYygBu1oJwAASGTk1KQoX4nAtBMAACQygpoU5C8R+M6xdwb0etoJAADiEUFNivEkAnfNm2lyNelHVT/S4AGDdfiLw7QTAAAkHHJqUkhvicCdWwjQTgAAkGgIalJIIInAn3/xueYVzaOdAAAg4bD8lEICTfAdOWik6kvrk7KiMAAgeRHUpJBAE3xz0nNoJwAASDgsP6WQwuGFcjqc3fJlPAwZynXkkggMAEhIBDUpxJZmU8WUCknhSwR2t7lVVV+l1btXq6q+imrDAICYIahJMcUFxVo/fX1YEoEr91QqvyJfE5+bqJsrb9bE5yYqvyKf/lAAgJgwTNPsvr83SblcLmVkZKi5uVkOhyPWw4kpXxWFg5mh8VfvxjPjw04pAEC4BPr9TVCDoLnb3MqvyPe7PdxTpK+utI4dUwCAkAX6/Z1wy09PP/20RowYodNOO03jxo1TdTXNFaONxpcAgHiUUEHN2rVrVVZWpscee0zvvvuuCgsLNXXqVO3duzfWQ0spNL4EAMSjhApqFi9erNtvv1133HGHCgoKVF5ertzcXC1dujTWQ0spwdS7AQAgWhImqDlx4oRqa2s1efJkr/OTJ0/W22+/7fM1ra2tcrlcXg+Ejno3AIB4lDBBzaFDh+R2u5WVleV1PisrS/v37/f5moULFyojI6P9kZubG42hJr1I1LsBACBUCRPUeBiG95eoaZrdznnMnTtXzc3N7Y/GxsZoDDElhLPeDQAA4ZAwvZ+GDBkim83WbVbmwIED3WZvPOx2u+x2ezSGl5KKC4o17fxpNL4EAMSFhAlq+vfvr3Hjxmnjxo267rrr2s9v3LhR06ZNi+HIUhuNLwEA8SJhghpJmjNnjr71rW9p/Pjx+upXv6rly5dr7969uueee2I9NAAAEGMJFdTccMMN+vzzz/XEE09o3759Gj16tH7/+98rLy8v1kMDAAAxRpsEAAAQ15K2TQIAAIAvBDUAACApENQAAICkQFADAACSAkENAABICgQ1AAAgKSRUnRqEj7vNTXsDAEBSIahJQZV7KlW6oVSfuD5pP+d0OFUxpYJGlACAhMXyU4qp3FOpknUlXgGNJDW5mlSyrkSVeypjNDIAAEJDUJNC3G1ulW4olanuRaQ958o2lMnd5o720AAACBlBTYjcbW5V1Vdp9e7VqqqviuuAoHpvdbcZms5MmWp0Nap6b3UURwUAQHiQUxOCRMtN2deyL6z3AQAQT5ip6aNEzE3JSc8J630AAMQTgpo+SNTclMLhhXI6nDJk+LxuyFCuI1eFwwujPDIAAEJHUNMHiZqbYkuzqWJKhSR1C2w8z8unlFOvBgCQkAhq+iCRc1OKC4q1fvp6DXMM8zrvdDi1fvr6uMwFAgAgECQK90Gi56YUFxRr2vnTqCgMAEgqBDV94MlNaXI1+cyrMWTI6XDGdW6KLc2movyiWA8DAICwYfmpD8hNAQAg/hDU9FGguSmJVJwPAIBEZpim2X39JEm5XC5lZGSoublZDocjLO/ZU7frRCvOBwBAPAr0+5ugJkI8xfm65tx4lqfYaQQAQGAC/f5m+SkCErU4HwAAiYygJgIStTgfAACJjKAmAhK5OB8AAImKOjVh5Eka/tPBPwV0f7wW5wMAIBER1ISJr51O/iRCcT4AABINQU0Y+Nvp5AvF+QAAiAxyakLU004nX2gcCQBAZDBTE6Ledjp5/KDwB/rHc/6RxpEAAEQIQU2IAt3BdOHZF9JAEgCACGL5KUSB7mBipxMAAJFFUBOiwuGFcjqcvd538NjBKIwGAIDURVATIluaTT+b/LNe73vojYdoiwAAQAQR1ITBkNOH9HoPbREAAIgsgpowoC0CAACxR1ATBiQLAwAQewQ1YeBJFvZUC+7KkKFcRy5tEQAAiCCCmjCwpdlUMaVCkroFNrRFAAAgOghqwqS4oFjrp6/XMMcwr/O0RQAAIDoM0zQDa1qUBFwulzIyMtTc3CyHwxGRz3C3uVW9t1r7WvYpJz2HtggAAIQo0O9v2iSEmS3NRjsEAABigOUnAACQFAhqAABAUiCoAQAASSFhgpr8/HwZhuH1ePTRR2M9LAAAECcSKlH4iSee0J133tn+/IwzzojhaAAAQDxJqKAmPT1d2dnZsR4GAACIQwmz/CRJP/nJTzR48GB9+ctf1pNPPqkTJ070eH9ra6tcLpfXAwAAJKeEmakpLS3V2LFjddZZZ+mdd97R3LlzVVdXp1//+td+X7Nw4ULNnz8/iqMEAACxEtOKwvPmzes16NixY4fGjx/f7fxvfvMblZSU6NChQxo8eLDP17a2tqq1tbX9ucvlUm5ubkQrCgMAgPBKiIrC9913n2688cYe78nPz/d5/vLLL5ckffzxx36DGrvdLrvd3v7cE7+xDAUAQOLwfG/3Ng8T06BmyJAhGjJkSJ9e++6770qScnJyAn5NS0uLJCk3N7dPnwkAAGKnpaVFGRkZfq8nREPLrVu3atu2bZo4caIyMjK0Y8cOPfjggxo/frxefvnlgN+nra1NH374oS688EI1NjayBBUDniVA/v7Rx98+tvj7xw5/+9gJ19/eNE21tLRo6NChSkvzv8cpIRKF7Xa71q5dq/nz56u1tVV5eXm688479cgjjwT1PmlpaRo2bJgkyeFw8P/cMcTfP3b428cWf//Y4W8fO+H42/c0Q+OREEHN2LFjtW3btlgPAwAAxLGEqlMDAADgT8oFNXa7XT/60Y+8dkUhevj7xw5/+9ji7x87/O1jJ9p/+4RIFAYAAOhNys3UAACA5ERQAwAAkgJBDQAASAoENQAAICmkXFDz9NNPa8SIETrttNM0btw4VVdXx3pISW/hwoW69NJLlZ6erszMTF177bX68MMPYz2slLRw4UIZhqGysrJYDyVlNDU16ZZbbtHgwYM1cOBAffnLX1ZtbW2sh5USTp48qR/84AcaMWKEBgwYoHPOOUdPPPGE2traYj20pLNlyxZdc801Gjp0qAzD0G9/+1uv66Zpat68eRo6dKgGDBigoqIiffDBB2EfR0oFNWvXrlVZWZkee+wxvfvuuyosLNTUqVO1d+/eWA8tqW3evFmzZ8/Wtm3btHHjRp08eVKTJ0/WsWPHYj20lLJjxw4tX75cF198cayHkjKOHDmir33ta/rSl76k1157TX/605/005/+VGeeeWash5YSfvKTn2jZsmVasmSJ9uzZo0WLFuk//uM/9POf/zzWQ0s6x44d0yWXXKIlS5b4vL5o0SItXrxYS5Ys0Y4dO5Sdna2rrrqqvSdj2Jgp5Ctf+Yp5zz33eJ274IILzEcffTRGI0pNBw4cMCWZmzdvjvVQUkZLS4s5cuRIc+PGjeaVV15plpaWxnpIKeF73/ueecUVV8R6GCnr6quvNm+77Tavc8XFxeYtt9wSoxGlBknmSy+91P68ra3NzM7ONv/93/+9/dzf/vY3MyMjw1y2bFlYPztlZmpOnDih2tpaTZ482ev85MmT9fbbb8doVKmpublZkjRo0KAYjyR1zJ49W1dffbX+6Z/+KdZDSSmvvPKKxo8fr+uvv16ZmZkaM2aMfvWrX8V6WCnjiiuu0B/+8Af95S9/kSS99957euutt/SNb3wjxiNLLXV1ddq/f7/X96/dbteVV14Z9u/fhOj9FA6HDh2S2+1WVlaW1/msrCzt378/RqNKPaZpas6cObriiis0evToWA8nJaxZs0a1tbWqqamJ9VBSzv/+7/9q6dKlmjNnjr7//e/rnXfe0QMPPCC73a5bb7011sNLet/73vfU3NysCy64QDabTW63W08++aRuuummWA8tpXi+Y319/zY0NIT1s1ImqPEwDMPruWma3c4hcu677z69//77euutt2I9lJTQ2Nio0tJSvfHGGzrttNNiPZyU09bWpvHjx2vBggWSpDFjxuiDDz7Q0qVLCWqiYO3atVq1apVefPFFjRo1Srt27VJZWZmGDh2qmTNnxnp4KSca378pE9QMGTJENput26zMgQMHukWPiIz7779fr7zyirZs2SKn0xnr4aSE2tpaHThwQOPGjWs/53a7tWXLFi1ZskStra2y2WwxHGFyy8nJ0YUXXuh1rqCgQL/5zW9iNKLU8t3vflePPvqobrzxRknSRRddpIaGBi1cuJCgJoqys7MlWTM2OTk57ecj8f2bMjk1/fv317hx47Rx40av8xs3btSECRNiNKrUYJqm7rvvPlVWVurNN9/UiBEjYj2klPGP//iP2r17t3bt2tX+GD9+vGbMmKFdu3YR0ETY1772tW7lC/7yl78oLy8vRiNKLcePH1damvfXnM1mY0t3lI0YMULZ2dle378nTpzQ5s2bw/79mzIzNZI0Z84cfetb39L48eP11a9+VcuXL9fevXt1zz33xHpoSW327Nl68cUX9fLLLys9Pb19tiwjI0MDBgyI8eiSW3p6erfcpdNPP12DBw8mpykKHnzwQU2YMEELFizQ9OnT9c4772j58uVavnx5rIeWEq655ho9+eSTGj58uEaNGqV3331Xixcv1m233RbroSWdo0eP6uOPP25/XldXp127dmnQoEEaPny4ysrKtGDBAo0cOVIjR47UggULNHDgQN18883hHUhY91IlgF/84hdmXl6e2b9/f3Ps2LFsK44CST4fzz77bKyHlpLY0h1dr776qjl69GjTbrebF1xwgbl8+fJYDylluFwus7S01Bw+fLh52mmnmeecc4752GOPma2trbEeWtLZtGmTz3/nZ86caZqmta37Rz/6kZmdnW3a7Xbz61//url79+6wj8MwTdMMb5gEAAAQfSmTUwMAAJIbQQ0AAEgKBDUAACApENQAAICkQFADAACSAkENAABICgQ1AAAgKRDUAACApEBQAwAAkgJBDQAASAoENQAAICkQ1AAAgKTw/wFCmRYy6DNZSAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 12000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 16000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 20000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 24000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 28000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 32000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 36000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m1 = np.random.randn(1)\n",
    "c1 = np.random.randn(1)\n",
    "\n",
    "rate = 0.01\n",
    "par = 40000\n",
    "\n",
    "for i in range(par):\n",
    "    y_new=forward_pass(x,m1,c1)\n",
    "\n",
    "    dm = (1.0/N) *  -np.sum(np.multiply(x,(y - (m1*x +c1))))\n",
    "   \n",
    "    dc = (1.0/N) * -np.sum(y - (m1*x + c1))\n",
    "    \n",
    "    m1 = m1 - rate * dm\n",
    "    c1 = c1 - rate * dm\n",
    "    if i%4000==0:\n",
    "        L_1.append(loss(y_new,y))\n",
    "        print (\"no of iterations:\",i )\n",
    "        plt.plot(x,y,'go')\n",
    "        plt.plot(x,y_new,'r*')\n",
    "    #plt.plot(x,m1*x+c1,'r*')\n",
    "        plt.ylabel('Data')\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 220,
   "id": "28c33101",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 4000\n"
     ]
    },
    {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 8000\n"
     ]
    },
    {
     "data": {
      "image/png": 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gcDovDthZTzuU793b0cPDcBWCgLADAAiczosD+tJ1h3IgyKjZAQAMTE+LAxqGlJ4ujRxp1uE4nVJODjuUI6TYCFRsBAoAA+IqOHb9bBgd9y6un1taOqaTswoyBoiNQAEAodFb8fHWrR3XJiSwCjJCjmEsAMDAFBZKo0f7Xhxw/PjQtwnohJ4dAEDgUHyMMMSfRgDAwLmKj9nLCmGIYSwAwMBlZ5uLAbKXFcIQYQcAEBjsZYUwxTAWAACwNcIOAKCDr+0egAhG2AEAdPBnuwcgwlCzAwDRzt/tHoAIRdgBgGg3alTHz67VjevqPBcJZGchRDCGsQAg2nSty+nLdg9ABCLsAEA0KS+XrrnGsy6nsNDc1sGbvXvN80AEYxgLAKKBqy5n5Urp2DHzWOe6nJoa81hMjNTe3nEP2ABhBwDsrrLSsy7HpbbWsy7H6ZRycqS5c6WNG6WqKrZ7gC0QdgDA7rwFna62bpWuu47tHmBL1OwAgN11LkD25mc/M+tyEhI6ZmOx3QNshLADAHbXUwGyJF1+eejaAliAsAMA0cjVg5OWRl0ObI+wAwDRICPDLEDOz5fWrZMmTJAyM80en+xsq1sHBBUFygAQDbKzpSNHOgqQ582jABlRg7ADANGic7ChABlRhGEsAIgkXbd6ANArwg4ARJLNmz23egDQK4axACDcubZ6cDikbdvMY523ekhPl0aOtLaNQBgj7ABAOCsvly68sOOxa8p4XZ3nVg+uXcoBdMMwFgCEs82bzfuYL/+6doUa131cnLlCMgCf6NkBgHDjbdgqJUWqr+9+7d690vjxoW0fEGEIOwAQbjpv3OkatuoadGJipPb2kDUJiGQMYwFAuOm8cae3WpxbbjHrdZxOtnoA/EDPDgCEm8JCafRozwJkl/Jy87hhsAIy4Cd6dgDAKv4sEOgqTHbdu4a1WAEZ8BthBwCs0tMCgZ037ly/nmErYAAchsHiDI2NjUpJSVFDQ4OSk5Otbg4AO+s80+qyy6TaWjPAvPpq9wUCW1o6Nu5k2Aroxt/vb2p2ACAUysulJUvMnhyX3hYIZONOICAYxgKAUHANWRUUdJ9pxQKBQFDRswMAweJtccADB6RNm6Qbb+x+PQsEAkFB2AGAYPG2OGBdXfegwwKBQFAxjAUAweJtccDOc0LOOouZVkAIMBtLzMYCEET793tfHPDPf5YmTmSmFTAA/n5/07MDAAPVn8UBXVPKJWZaAUFG2AGAgWJxQCCsMYwlhrEA9AOLAwKWi4hhrHXr1um8885TcnKykpOTddFFF+nVV191nzcMQ8uWLVNWVpYSExM1ZcoUHTp0yOM1WlpatGDBAqWnp2vIkCGaOXOmjh49Guq3AiDajBolTZhg9tTU1ZnHXIsDTpjgORMrIYEhK8BCload7Oxs/fznP1d5ebnKy8s1depUXX311e5As2LFCq1atUpr167Vvn375HQ6NWPGDDU1Nblfo6ioSNu3b1dpaal2796tkydP6sorr1RbW5tVbwtANOhpphWLAwJhJeyGsVJTU/Xoo4/q1ltvVVZWloqKinTvvfdKMntxMjMz9cgjj2jevHlqaGjQsGHDtGXLFl1//fWSpE8++UQ5OTl65ZVXdOmll/r1OxnGAtAvvmZaVVSwOCAQAhExjNVZW1ubSktL9dlnn+miiy7S4cOHVVNTo4KCAvc1CQkJmjx5svbs2SNJqqio0Oeff+5xTVZWlsaOHeu+xpuWlhY1NjZ63ACg37rOtAIQViz/P/PgwYM6/fTTlZCQoDvuuEPbt2/Xueeeq5qaGklSZmamx/WZmZnuczU1NYqPj9fQoUN9XuNNSUmJUlJS3LecnJwAvysAUYGZVkBEsHy7iK997Ws6cOCA/u///k+///3vNWfOHJWVlbnPO1xFfV8yDKPbsa56u2bp0qVatGiR+3FjYyOBB0DfZWdLR450zLS6/XZmWgFhyPKenfj4eH3lK1/RhAkTVFJSovPPP1+PP/64nE6nJHXroamtrXX39jidTrW2tqq+vt7nNd4kJCS4Z4C5bgDQL8y0AsKe5WGnK8Mw1NLSotzcXDmdTu3cudN9rrW1VWVlZZo0aZIkKT8/X4MGDfK4prq6Wu+//777GgAAEN0sHcb66U9/qssuu0w5OTlqampSaWmp3nzzTb322mtyOBwqKipScXGx8vLylJeXp+LiYg0ePFizZ8+WJKWkpGju3Lm6++67lZaWptTUVC1evFjjxo3T9OnTrXxrACJFebm0ZIm0YoW5Pg4A27E07PzrX//STTfdpOrqaqWkpOi8887Ta6+9phkzZkiSlixZoubmZs2fP1/19fWaOHGiduzYoaSkJPdrrF69WnFxcZo1a5aam5s1bdo0bdq0SbGxsVa9LQCRorxc+t73pKNHza0eCDuALYXdOjtWYJ0dIMq4tnp49FFp2zbzmK+tHgCELX+/vy2fjQUAIVVZ6bmVg0ttrecCgfw7ELCNsCtQBoCg8hZ0umKrB8BWCDsAokvnPa28+dnPpMLC0LUHQNARdgBEl8JCae9e3+cvvzx0bQEQEoQdAHAtCpiWxlYPgA0RdgBEn857Wq1bZ045dzrNHp/sbKtbByDAmI0FIPp03dNq3jz2tAJsjJ4dAJGrvFyaOtW87yv2tAKiBmEHQGRyrX68a5e5+jEA+MAwFoDI4lr9eOVKc5sHSSotlebMYfVjAF4RdgBEjpdflmbO7H6c1Y8B9IBhLACRw1vQ6YrVjwF0Qc8OgPDmGrZyOKTkZKmx0fe1rH4MwAvCDoDw1nkvK9fsKV9Y/RiAFwxjAQg/naeUd97LqqdaHFY/BuADYQdA+HCFnJUrO6aU97SX1dKl0oUXsvoxgB4NaBjr1KlT+vjjj9Xa2upx/LzzzhtQowBEoZdflm67zZxZlZhoHnNNKf/gA/NxTIzU3m4OZxmGdN110sMPs/oxgB71K+zU1dXplltu0auvvur1fFtb24AaBSCKuAqQO8+0am4277tOKc/Pl+bOlTZulKqqzGErVj8G0It+DWMVFRWpvr5e77zzjhITE/Xaa6/pmWeeUV5enl566aVAtxGAXVVWmgXIEyb0fF1cnPT00+ZQ1bx55v2RIwxbAfBLv3p23njjDb344ou68MILFRMTo5EjR2rGjBlKTk5WSUmJrrjiikC3E4AddZ5p1ZO9e6Xx4zse05sDoA/61bPz2WefKePLWQ+pqamqq6uTJI0bN0779+8PXOsA2FvnmVYAECT9Cjtf+9rX9OGHH0qSvv71r+tXv/qVjh07pvXr1+vMM88MaAMB2FhPM60k6dxzzZlWTCkHMAD9+idVUVGRqqurJUkPPPCALr30Uv32t79VfHy8Nm3aFMj2AYg2rplWaWnSa6+ZQYchKwAD4DCMge+Yd+rUKf3P//yPRowYofT09EC0K6QaGxuVkpKihoYGJScnW90cILocPWqulTN8uDn1/De/MWda7d4tnX221a0DEMb8/f7u1zDWgw8+qFOnTrkfDx48WOPHj9eQIUP04IMP9uclAUSr7GxzZtW+fdIdd3TMtCLoAAiQfvXsxMbGqrq62l2k7PLpp58qIyMj4tbZoWcHAIDIE9SeHcMw5PCyId97772n1NTU/rwkAABAUPSpQHno0KFyOBxyOBz66le/6hF42tradPLkSd1xxx0BbyQAAEB/9SnsrFmzRoZh6NZbb9Xy5cuVkpLiPhcfH69Ro0bpoosuCngjAQAA+qtPYWfOnDmSpNzcXE2aNEmDBg0KSqMAAAACpV81O5MnT3YHnebmZjU2NnrcANhYebk0dap5DwARoF9h59SpU7rrrruUkZGh008/XUOHDvW4AbCxzZulXbukLVusbgkA+KVfYeeee+7RG2+8oSeffFIJCQn69a9/reXLlysrK0ubN28OdBsBWK2yUqqokPbvl7ZtM4+VlpqPKyrM8wAQpvq1zs6IESO0efNmTZkyRcnJydq/f7++8pWvaMuWLXruuef0yiuvBKOtQcM6O0APysvNFY5dXNs5uO5dBr4YOwD0SVDX2Tlx4oRyc3MlScnJyTpx4oQk6eKLL9Zbb73Vn5cEEK5cvbWupSZcocZ1Hxdn7l4OAGGqX2HnrLPO0pEjRyRJ5557rp5//nlJ0ssvv6wzzjgjUG0DYBVvw1a+/t/eu9fcvRwAwlS/dj2/5ZZb9N5772ny5MlaunSprrjiCj3xxBP64osvtGrVqkC3EUCojRrV8bOrR6e+3vOamBipvT1kTQKA/grIrucff/yxysvLdfbZZ+v8888PRLtCipodoIvf/la6+Wbpiy+8n7/lFun9983dyfftMzfzBIAQ8/f7u889O+3t7dq0aZNeeOEFHTlyRA6HQ7m5ubruuut03nnnDajRAMJEYaE0erSUn9/9XHm5edwwpNZWKSEh9O0DgD7oU82OYRiaOXOmbrvtNh07dkzjxo3TmDFjVFlZqZtvvlnf+973gtVOAFaJifG8dw1rORwEHQARoU9hZ9OmTXrrrbf0pz/9SX/5y1/03HPPqbS0VO+9955ef/11vfHGG6yzA0QCf1ZBzsiQnE6zF2f9evPe6TSPA0AE6VPNTkFBgaZOnar77rvP6/ni4mKVlZXpj3/8Y8AaGArU7CDq/PjH0hNPmPePP+77upYWKT6+Y00dhq0AhJGgrLPz17/+Vd/97nd9nr/sssv03nvv9eUlAYRKf1ZBTkhg2ApAxOtTgfKJEyeUmZnp83xmZqbqu05PBRAevE0nr6vzLEJmFWQANtSnnp22tjbFxfnOR7GxsfrC11RVANbautVc7VhiFWQAUaVPPTuGYejmm29Wgo+u7JaWloA0CsAAlZdLS5ZIK1ZIEyaYx3qaTr53rzR+fGjbCAAh0qewM2fOnF6v+dGPftTvxgAIkM2bpV27pC1bOsJOZ67Vj1kFGUAU6FPYefrpp4PVDgADVVkpHT9u1uN0LkCeM8ccrkpP75hOnpMjzZ0rbdxoroLMdHIANhaQ7SIiHVPPYQuuomPXz4bRce9iGEwnB2AbQZl6DiCM+VuAzHRyAFGmX7ueAwhDFCADgFf07AB21HU/KwCIYvxNCNgJ+1kBQDcMYwF2kp0tHTnSUYB8++0UIAOIeoQdwG46BxsKkAGAYSwAAGBvloadkpISXXjhhUpKSlJGRoauueYaffjhhx7XGIahZcuWKSsrS4mJiZoyZYoOHTrkcU1LS4sWLFig9PR0DRkyRDNnztTRo0dD+VYAAECYsjTslJWV6c4779Q777yjnTt36osvvlBBQYE+++wz9zUrVqzQqlWrtHbtWu3bt09Op1MzZsxQU1OT+5qioiJt375dpaWl2r17t06ePKkrr7xSbW1tVrwtAAAQRsJqBeW6ujplZGSorKxM3/72t2UYhrKyslRUVKR7771XktmLk5mZqUceeUTz5s1TQ0ODhg0bpi1btuj666+XJH3yySfKycnRK6+8oksvvbTX38sKygAARJ6IXEG5oaFBkpSamipJOnz4sGpqalRQUOC+JiEhQZMnT9aePXskSRUVFfr88889rsnKytLYsWPd13TV0tKixsZGjxsAALCnsAk7hmFo0aJFuvjiizV27FhJUk1NjSQpMzPT49rMzEz3uZqaGsXHx2vo0KE+r+mqpKREKSkp7ltOTk6g3w4AAAgTYRN27rrrLv31r3/Vc8891+2co/MGhzKDUddjXfV0zdKlS9XQ0OC+VVVV9b/hAAAgrIVF2FmwYIFeeukl7dq1S9nZ2e7jTqdTkrr10NTW1rp7e5xOp1pbW1VfX+/zmq4SEhKUnJzscQMAAPZkadgxDEN33XWXXnjhBb3xxhvKzc31OJ+bmyun06mdO3e6j7W2tqqsrEyTJk2SJOXn52vQoEEe11RXV+v99993XwMAAKKXpSso33nnnXr22Wf14osvKikpyd2Dk5KSosTERDkcDhUVFam4uFh5eXnKy8tTcXGxBg8erNmzZ7uvnTt3ru6++26lpaUpNTVVixcv1rhx4zR9+nQr3x4AAAgDloaddevWSZKmTJnicfzpp5/WzTffLElasmSJmpubNX/+fNXX12vixInasWOHkpKS3NevXr1acXFxmjVrlpqbmzVt2jRt2rRJsbGxoXorAAAgTIXVOjtWYZ0dAAAiT0SuswMAABBohB0AAGBrhB0AAGBrhB0AAGBrhB0AAGBrhB0AAGBrhB0AAGBrhB0AAGBrhB0AAGBrhB0AAGBrhB0AAGBrhB3ApbxcmjrVvAcA2AZhB3DZvFnatUvassXqlgAAAijO6gYAlqqslI4flxwOads281hpqTRnjmQYUnq6NHKktW0EAAwIYQfRbdSojp8dDvO+rk7Kz+84bhghbRIAILAYxkJ027pVivsy87tCjes+Ls48DwCIaPTsILoVFkqjR3v25Ljs3SuNHx/6NgEAAoqeHcAlJsbzHgBgC/ytDmRkSE6n2buzfr1573SaxwEAEY9hLCA7WzpyRIqPN4uUb79dam2VEhKsbhkAIAAIO4DkGWwcDoIOANgIw1gAAMDWCDsAAMDWCDsAAMDWCDsAAMDWCDuITOxQDgDwE2EHkYkdygEAfmLqOSIHO5QDAPqBsIPIwQ7lAIB+YBgLkYMdygEA/UDPDiIHO5QDAPqBnh1EJnYoBwD4iW8KRBZ2KAcA9BHDWIgs7FAOAOgjwg4iDzuUAwD6gGEsAABga4QdAABga4QdAABga4QdAABga4QdBA87kwMAwgBhB8HDzuQAgDDA1HMEFjuTAwDCDGEHgcXO5ACAMMMwFgKLnckBAGGGnh0EFjuTAwDCDD07CB52JgcAhAG+hdB3vU0pZ2dyAEAYYRgLfdd5SvmECd3PszM5ACCMEHbgn75OKWdncgBAmCDswD9MKQcARChqduAfppQDACIUYQfdlZdLF15o1uO4ipALC82p497s3WueBwAgDBF20N3mzWbIqajwvq8VU8oBABGEmh2YKiulgwelhgbPIaktW6RvfENKSTGLkJ1OKSdHmjtX2rhRqqpiSjkAIKw5DIOq0sbGRqWkpKihoUHJyclWN8carqLj3vz73x1Tyg2DKeUAAMv4+/3NOEQ067w44NatPQ9LxcSY1yQkdAQjppQDACKApWHnrbfe0lVXXaWsrCw5HA794Q9/8DhvGIaWLVumrKwsJSYmasqUKTp06JDHNS0tLVqwYIHS09M1ZMgQzZw5U0ePHg3hu4hgnRcHLCyU9u3zfe2+fRQhAwAikqVh57PPPtP555+vtWvXej2/YsUKrVq1SmvXrtW+ffvkdDo1Y8YMNTU1ua8pKirS9u3bVVpaqt27d+vkyZO68sor1dbWFqq3EVkqK83C4/37PRcH3L9f+uADa9sGAEAQhE3NjsPh0Pbt23XNNddIMnt1srKyVFRUpHvvvVeS2YuTmZmpRx55RPPmzVNDQ4OGDRumLVu26Prrr5ckffLJJ8rJydErr7yiSy+91K/fHVU1O51rc1x1N657l7g4afhw8+dPPpHOOMMMQ9nZIW0qAAA9ifiancOHD6umpkYFBQXuYwkJCZo8ebL27NkjSaqoqNDnn3/ucU1WVpbGjh3rvsablpYWNTY2etyiRm+LAz79tNTUJB0+bN4aG80ZVwQdAECECtuwU1NTI0nKzMz0OJ6Zmek+V1NTo/j4eA0dOtTnNd6UlJQoJSXFfcvJyQlw68NYb4sD3nyzdNppZm+Pw2H+TBEyACCChW3YcXF0mRJtGEa3Y131ds3SpUvV0NDgvlVVVQWkrRGHxQEBAFEgbL/lnE6nJHXroamtrXX39jidTrW2tqq+vt7nNd4kJCQoOTnZ4xZVMjLMxQHz86X16817p5PFAQEAthS2YSc3N1dOp1M7d+50H2ttbVVZWZkmTZokScrPz9egQYM8rqmurtb777/vvgZeZGdLR46Yw1bz5pn3R45QlwMAsCVLt4s4efKk/vGPf7gfHz58WAcOHFBqaqpGjBihoqIiFRcXKy8vT3l5eSouLtbgwYM1e/ZsSVJKSormzp2ru+++W2lpaUpNTdXixYs1btw4TZ8+3aq3FRk61+GwOCAAwMYsDTvl5eX6zne+4368aNEiSdKcOXO0adMmLVmyRM3NzZo/f77q6+s1ceJE7dixQ0lJSe7nrF69WnFxcZo1a5aam5s1bdo0bdq0SbGxsSF/PwAAIPyEzTo7VoqqdXYAALCJiF9nBwAAIBAIOwAAwNYIOwAAwNYIOwAAwNYIOwAAwNYIOwAAwNYIOwAAwNYIOwAAwNYIOwAAwNYIO1YqL5emTjXvAQBAUBB2rLR5s7Rrl7Rli9UtAQDAtgg7oVReLk2aZIab/fulbdvM46Wl5uOKCqmy0to2AgBgM5bueh5Vysul731POnpU+vOfzWMOh3lfVyfl53dcy96sAAAEDD07wdS5J2flSjPodOYKNa77uDhp69bQthEAAJujZyeYfvlLsxfH1ZPTm717pfHjg9smAACiDGEn0CorpePHzSGqTZv8e05MjNTeHtRmAQAQrQg7gTZqlP/XDh8u/b//J23cKFVVSRkZQWsWAADRipqdQNu61ay98ceLL0rz5pnDV0eOSNnZQW0aAADRiLATaIWFZnjxxTUDKy1NyszsOJaQEPy2AQAQhQg7wRTT5eNdulSaMEFyOs1ARE8OAABBR9gJhowMM9Dk50vr15v3Tqc0f37HkNXZZ1vdSgAAogIFysGQnW0Gmvh4c4jq9tul1taOoSqGrAAACBnCTrB0DjTU5AAAYBmGsQAAgK0RdgAAgK0RdgAAgK0RdgAAgK0RdgAAgK0RdgAAgK0RdgAAgK0RdgAAgK0RdgAAgK0RdgAAgK0RdgAAgK0RdgAAgK0RdgAAgK0RdgAAgK3FWd0AAABgT23tbXr747dV3VStM5PO1CUjLlFsTGzI20HYAQAggvgbIAYaNAb6/Bc+eEELX1uoo41H3ceyk7P1+Hcf17Wjr/X7dQKBsAMAQITwN0AMNGj816H/0vxX5uv4qeP9ev4LH7yg656/ToYMj+PHGo/puuev0+9m/S6kgcdhGIbR+2X21tjYqJSUFDU0NCg5Odnq5gAAIlhPPSID6S3xFSBclk9ZrrOHnq3X//m6Nr23qdt5hxyS1GvQWLJziR7d86jXcw45en1+W3ubRj0+yiNodX2N7ORsHV54eMBDWv5+fxN2RNgBALuxqlakpx6Vtva2fveW9BYg/NVb0Pjdod/pB7/7QY+vkZOc02NQefPIm/rOM9/ptS275uzSlFFT/Gq3L/5+fzOMBQAImb6EkP4GFm+BIzUxVQsnLtT9l9wftNDT09DN95//vtfnHG086tewztsfvz3goCNJhgxVNVbp7Y/f7hY0XGGsN76e71LdVO1XW/y9LhAIOwCAgOgtnPjq9VhdsFrpQ9I9nvfihy92u3Z40nDdnn+78lLzPF6/8+/96MRHWvbmsm6B40TzCT3w5gP6xd5faMNVGwJeL9LW3qaFry30OsTka9ip8/mi14p09deu9hnEAh0MvL3e2x+/rbpTdf1+vsuZSWf69Rr+XhcIhB0AiBJt7W1688ibevPIm5KkKaOmaMqoKQGrJ+mpINZXr8fRxqPdhk3SEtP0afOn3X7HsaZjeuDNBzxe/4axN+i595/zu9fj0+ZPg1IgO9Cel956SwIdDLy9Xl8CVU/tuWTEJcpOztaxxmNeg55rKO2SEZf4/fsGirADAGGqa/iYlD1Je47u6XcYuf3l2z1CxENvP6S0xDRtuGqDJPV79k5vM2+ev+55/WTHT3rt4XDxFnS8Odp41GchbU/86Unpq0D0vPT0GpeMuESpiak60XxiQL+jp6Dhb6AaNnhYj0ElNiZWj3/3cV33/HVyyOHx391VJL3mu2tCut4OYQdAxAlU8WkgXsef1/B2jaQ+D/nEOmLVZrS5H/cljPiqGfm0+VOf5/yZJtzb8I1DDs1/Zb7fwyOh0ltPSl8Fouelp9eIjYnVwokLPXq2+stX0HD1yPTWQ/XLy3/Z6/8n146+Vr+b9TuvAXrNd9eEfJ0dZmOJ2VhAJPEWAoYNHqYnL39S1425zu/XGeg6Ir7a0vU1vF2TlpgmybMHw58hn678mUrc1t6mkWtG6ljTMb/ek7ff0dPsHX9n3oSjZ699VjeMuyEgr+WaLeVr6KY3wwYPU/Xd1T2GiLb2NmWuzPS756srf/589/Zn755J92jFjBV+/85gz4pj6nkfEHYAa/VWS+K65uG3H+7xX7b+/kU80HVEJN9fCp0DiCS/Qkvn57mGfPyt/whVGPE1Tfi5g89p9guzB/z6VgjE1OfOXH8mpN6Lkrt6/rrn9YMxPU/57vw7+vr6y6cs93smWqD+QREKhJ0+IOwA/gnGv9K81ZJI0unxp+ueSffo/kvu14sfvqgfv/pjv3onevvSCMQ6Iv4smjY8abgk6WiT/0WrDjmUPji9X0M+wQ4jvnpB/A1T6YPT9empT/vV6xFogVzUritfPXk99cb0tbfEnyFOl5zknH4NG4XLnla9Iez0AWEHdtLbX1L9XefkoxMfaUPFBo/AMdB9bnqqJXE5Pf50nWw96fdr9jQc0NbepjMfO9OvMNHTv/rDcehmoGGkN74+j96Gb1zB4rGCx3T9766X1Pdej0DydxXhgfD2/5i3qfQD6S3xVbx+rPGY6k7VadjgYRqePDxsQ0qgsKggEIX8mf7r74wbb9d2NZB9btra27Tw1YW9XteXoCNJdafqfBaeBmodkVAuhuYvX8Wtl4y4RMOThg+4ZsfX7Bt/Z95cO/pas8i2lz9TrucZMnrtEent+dePuV47/7nTYwZTKApkY2Niu/35u3b0tbr6a1cHrLfE2+8I5JCc3RB2AJvobfrv4kmLtXLPSr825vO3LsA126Y/03jf/vjtPg3x9IWvMBKodUSCvRhaX4Z8/Akjv7jsF732oLleqz/ThP2deePtC7/uszot2rHI6/M6X/vRiY/0VMVTHn9mcpJz9MOxP+y2zk7n3xtOwzHeAgpCg2EsRecwVjj9BdBXwWh7JH8ekn81JDGOGK9j+q7zrhoGSf3ag6evxZ7BLGz11RZ/h3R6mxnjz9CNq2bnWJP/s3P6OuTTlyEZX7VRPa2z09d6j/7+f+Tv83xdF+n//6L/GMaCT70NZQRrx95QtD1cXjPUelu91ZDhM+i4zrvWHZHUr5Vg+zq0E6zekZzkHJ+9HIFaR8SfoZvHL3tckrxe440/Qz7e1tnxN4y4elV6mvU20GGW/vZc+Ps8X9fRY4Le0LOj6OrZ6W267OJJi712CT/+XfMvbn9DQbBm7fQ21bev4SQYr2mFQM64kdSv1+prz05be5tGrRkV0KEsf6aNB3IdEW9BuWtviL/r7HjrRQnkCsqAHUXdbKwnn3xSjz76qKqrqzVmzBitWbNGl1zi374bwQg7VveA+GpTf4YnevpXqbdQEIyeEn+Gafo6lTQYr2mVQM64kdSn1xrI5+TPbCx/9WXIJZDriARrBWUAvYuqsLNt2zbddNNNevLJJ/Wtb31Lv/rVr/TrX/9af/vb3zRixIhenx/osOPtL9L0wemaMnKKzkk/R1NGTdElIy4J+b/QgjVdtvOX3YsfvhiUnhJ/296X3oVgvKZV/Kkh6WvNjj8rwQaiB8xXLUnn3+FtZk52Urb+I/8/uu2A7a9w/AcJgL6JqpqdVatWae7cubrtttskSWvWrNEf//hHrVu3TiUlJSFti68u8uOnjut3H5grqj709kOKUYza1e4+H4oakWBNl3XVe7x55M1e98jp7+Z7/ra9L+8xGK9pFX9qSBZdtEgr96yUJK/nO8+48fVaXQViGm/nWpL15ev1x//9o5pam7r9jkBO25Wo8wCiScSHndbWVlVUVOi+++7zOF5QUKA9e/Z4fU5LS4taWlrcjxsbGwPSlp42xOuqc9CRBrZeib+CPV32zSNv9lok29/N9/xte1/eYzBe00r+TP/9ZvY3/dqYr6fX+o/x/e9N8SU2JlbTzpqmaWdN67HHhXACoD8iPuwcP35cbW1tyszM9DiemZmpmpoar88pKSnR8uXLA96W3mbE9GSgPR/+cM1E6e9GdYHSn56S3tre21ojoXpNq/W2cFlfFjYL9CJo/qLHBUCgxVjdgEBxOBwejw3D6HbMZenSpWpoaHDfqqqqAtKGgQ53dJ3+G2iuoQ6pY+giEBxyKCc5x+8vqP70lPTUdn8XPgvFa4YDV1i4YdwN3TbT9Od8f68FgHAV8WEnPT1dsbGx3Xpxamtru/X2uCQkJCg5OdnjFgiBGu4IZo2Ia3hiePLwfj2/p1AwZdQUZSdn+wxSrlDU354SX23PTs7u9/BfMF4TABBebDEba+LEicrPz9eTTz7pPnbuuefq6quv9qtAOVCzsXqbEeOvUMz+6VwXkTEkQzf/4eYeV3pNS0zTuivWdVvW3duaItc9b07d9VYEG4gAwQrKAAApSqeer1+/XhdddJE2bNigp556SocOHdLIkSN7fX4gp577+rL3h5XruvTU7s4LtfkTCvxZaA0AgIGKqrAjmYsKrlixQtXV1Ro7dqxWr16tb3/72349NxTr7PQmHFbsDWRIoacEABBsURd2BiKYKyi/+OGL+s3+36ix1XN6e9d1dsKl54OQAgCIFISdPgj23lht7W3dNt+zYgVlAADshLDTB9G0ESgAAHbh7/d3xE89BwAA6AlhBwAA2BphBwAA2BphBwAA2BphBwAA2BphBwAA2BphBwAA2BphBwAA2BphBwAA2Fqc1Q0IB65FpBsbG3u5EgAAhAvX93Zvm0EQdiQ1NTVJknJycixuCQAA6KumpialpKT4PM/eWJLa29v14Ycf6txzz1VVVRX7Y1mgsbFROTk5fP4W4LO3Fp+/dfjsrRWIz98wDDU1NSkrK0sxMb4rc+jZkRQTE6Phw4dLkpKTk/lDbyE+f+vw2VuLz986fPbWGujn31OPjgsFygAAwNYIOwAAwNYIO19KSEjQAw88oISEBKubEpX4/K3DZ28tPn/r8NlbK5SfPwXKAADA1ujZAQAAtkbYAQAAtkbYAQAAtkbYAQAAtkbY+dKTTz6p3NxcnXbaacrPz9fbb79tdZNsr6SkRBdeeKGSkpKUkZGha665Rh9++KHVzYpKJSUlcjgcKioqsropUePYsWO68cYblZaWpsGDB+vrX/+6KioqrG5WVPjiiy/0n//5n8rNzVViYqLOOussPfjgg2pvb7e6abbz1ltv6aqrrlJWVpYcDof+8Ic/eJw3DEPLli1TVlaWEhMTNWXKFB06dCjg7SDsSNq2bZuKiop0//336y9/+YsuueQSXXbZZfr444+tbpqtlZWV6c4779Q777yjnTt36osvvlBBQYE+++wzq5sWVfbt26cNGzbovPPOs7opUaO+vl7f+ta3NGjQIL366qv629/+pscee0xnnHGG1U2LCo888ojWr1+vtWvX6oMPPtCKFSv06KOP6oknnrC6abbz2Wef6fzzz9fatWu9nl+xYoVWrVqltWvXat++fXI6nZoxY4Z7z8qAMWB84xvfMO644w6PY+ecc45x3333WdSi6FRbW2tIMsrKyqxuStRoamoy8vLyjJ07dxqTJ082Fi5caHWTosK9995rXHzxxVY3I2pdccUVxq233upx7NprrzVuvPFGi1oUHSQZ27dvdz9ub283nE6n8fOf/9x97N///reRkpJirF+/PqC/O+p7dlpbW1VRUaGCggKP4wUFBdqzZ49FrYpODQ0NkqTU1FSLWxI97rzzTl1xxRWaPn261U2JKi+99JImTJigH/zgB8rIyNAFF1ygp556yupmRY2LL75Yf/rTn/T3v/9dkvTee+9p9+7duvzyyy1uWXQ5fPiwampqPL5/ExISNHny5IB//0b9RqDHjx9XW1ubMjMzPY5nZmaqpqbGolZFH8MwtGjRIl188cUaO3as1c2JCqWlpaqoqFB5ebnVTYk6//znP7Vu3TotWrRIP/3pT/Xuu+/qxz/+sRISEvSjH/3I6ubZ3r333quGhgadc845io2NVVtbmx5++GHdcMMNVjctqri+Y719/1ZWVgb0d0V92HFxOBwejw3D6HYMwXPXXXfpr3/9q3bv3m11U6JCVVWVFi5cqB07dui0006zujlRp729XRMmTFBxcbEk6YILLtChQ4e0bt06wk4IbNu2TVu3btWzzz6rMWPG6MCBAyoqKlJWVpbmzJljdfOiTii+f6M+7KSnpys2NrZbL05tbW23tIngWLBggV566SW99dZbys7Otro5UaGiokK1tbXKz893H2tra9Nbb72ltWvXqqWlRbGxsRa20N7OPPNMnXvuuR7HRo8erd///vcWtSi63HPPPbrvvvv0wx/+UJI0btw4VVZWqqSkhLATQk6nU5LZw3PmmWe6jwfj+zfqa3bi4+OVn5+vnTt3ehzfuXOnJk2aZFGrooNhGLrrrrv0wgsv6I033lBubq7VTYoa06ZN08GDB3XgwAH3bcKECSosLNSBAwcIOkH2rW99q9syC3//+981cuRIi1oUXU6dOqWYGM+vv9jYWKaeh1hubq6cTqfH929ra6vKysoC/v0b9T07krRo0SLddNNNmjBhgi666CJt2LBBH3/8se644w6rm2Zrd955p5599lm9+OKLSkpKcveupaSkKDEx0eLW2VtSUlK32qghQ4YoLS2NmqkQ+MlPfqJJkyapuLhYs2bN0rvvvqsNGzZow4YNVjctKlx11VV6+OGHNWLECI0ZM0Z/+ctftGrVKt16661WN812Tp48qX/84x/ux4cPH9aBAweUmpqqESNGqKioSMXFxcrLy1NeXp6Ki4s1ePBgzZ49O7ANCejcrgj2y1/+0hg5cqQRHx9vjB8/nunPISDJ6+3pp5+2umlRiannofXyyy8bY8eONRISEoxzzjnH2LBhg9VNihqNjY3GwoULjREjRhinnXaacdZZZxn333+/0dLSYnXTbGfXrl1e/56fM2eOYRjm9PMHHnjAcDqdRkJCgvHtb3/bOHjwYMDb4TAMwwhsfAIAAAgfUV+zAwAA7I2wAwAAbI2wAwAAbI2wAwAAbI2wAwAAbI2wAwAAbI2wAwAAbI2wAwAAbI2wAwAAbI2wAwAAbI2wAwAAbI2wAwAAbO3/A4H6GQx0g7RxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 12000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 16000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 20000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 24000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 28000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 32000\n"
     ]
    },
    {
     "data": {
      "image/png": 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V6tlTevVVR2uRxSLNnUv3GJogIQIABB9PXWRWq1RR0bRsfr40YkT9a7rH4AEJEQAg+HiaTt84GXK2GAFeYNo9ACA4tDadvqF773WMGbLZGCsEr9BCBAAIDt5Opy8ocBw3DMYKwWsBbSHatm2bpk6dqri4OFksFr355ptu52fNmiWLxeL2GDNmjFuZ6upqzZ8/X1FRUerbt6+mTZumI0eOuJWpqKhQWlqarFarrFar0tLSdPLkyU6+OwBAh3naeiMnx/G64XT6hs9MpUc7BDQhOn36tIYPH64VK1Y0W2by5Mk6duyY6/Hee++5nc/IyNCmTZuUk5Oj7du3q6qqSlOmTFFtba2rzMyZM1VUVKTc3Fzl5uaqqKhIaWlpnXZfAIAOarwzfXKyYxq9VD+d3rn9RnKytGoVXWTokIB2maWkpCglJaXFMmFhYbLZbB7P2e12rV69WmvXrtXEiRMlSdnZ2UpISNAHH3yg73//+zpw4IByc3O1a9cujR49WpL06quvauzYsTp48KAuv/xy394UAKDjGu5Mv3mzdP480+nRqbr8oOoPP/xQ0dHRuuyyyzRnzhyVl5e7zhUWFurcuXOaNGmS61hcXJySkpK0Y8cOSdLOnTtltVpdyZAkjRkzRlar1VXGk+rqalVWVro9AACdqK070+fnS7Nm0UUGn+jSg6pTUlJ0xx13KDExUYcOHdIvfvELTZgwQYWFhQoLC1NZWZlCQ0N10UUXub0vJiZGZWVlkqSysjJFe2g+jY6OdpXxJDMzU0uWLPHtDQEAmuftzvRMp0cn6NItRD/84Q91yy23KCkpSVOnTtX777+vv/3tb3r33XdbfJ9hGLI4/zFJbj83V6axRYsWyW63ux6lpaXtvxEAQOta25n+kksYK4RO06VbiBqLjY1VYmKivvjiC0mSzWZTTU2NKioq3FqJysvLNW7cOFeZr776qsm1jh8/rpiYmGY/KywsTGE0vQKA/6SmerczPWOF0Am6dAtRY19//bVKS0sVGxsrSUpOTlavXr2Ul5fnKnPs2DHt27fPlRCNHTtWdrtdH3/8satMfn6+7Ha7qwwAwI8aLrDYnMZT6dmZHp0soC1EVVVV+vLLL12vDx06pKKiIkVGRioyMlKLFy/WjBkzFBsbq+LiYj322GOKiorSbbfdJkmyWq2aPXu2HnroIfXr10+RkZFauHChhg0b5pp1NmTIEE2ePFlz5szRyy+/LEmaO3eupkyZwgwzAAiEhgssjhzpfi462tEdlpDAzvTwK4theFrz3D8+/PBD3XDDDU2Op6en66WXXtKtt96qTz75RCdPnlRsbKxuuOEG/fKXv1RCQoKr7LfffquHH35Y69ev19mzZ3XjjTdq5cqVbmW++eYbPfDAA3r77bclSdOmTdOKFSt04YUXeh1rZWWlrFar7Ha7IiIi2n/TAGBGDTdjTUmRyssdSc777zvGCUVFSYmJjrLV1fUtQqw2jQ7ytv4OaEIUTEiIAKADGk5icSY6zmcnqiN0Am/r76AaQwQACFItzSDr2dNxHgigoJplBgAIUi3NIMvPl0aM8H9MQAO0EAEA/KvxDDKgC+D/RgCAfzhnkLEZK7oguswAAP4RHy8VF9fPIGOBRXQhJEQAAP9pmPywwCK6ELrMAABt481K00CQISECALRNw5WmgW6CLjMAQOsarjS9YYPjWE6OlJ7edKVpIAiREAEAWjdwYP3PzlWnjx93X1eIlaYRxOgyAwA01XicECtNo5sjIQIAuCsokG691X2cUGqqY0VpT/LzHeeBIEaXGQDAwTlO6JlnpKNHHccajhMqK3McCwmR6urqn4FugIQIAOBIhhqOE3IqL3cfJ2SzSQkJ0uzZ0urVUmkpK02jWyAhAgB4ToYay86Wbr+dlabRLTGGCADgPmjak1/+0jFOKCysfpYZK02jGyEhAgC0PGhakm6+2X+xAAFAQgQA8MzZEtSvH+OE0O2REAEAHKKjHYOmk5Oll16SRo6UYmIcLUfx8YGODuhUDKoGADjEx0vFxfWDpn/yEwZNwzRIiAAA9RomPwyahonQZQYA3U3jbTcAtIqECAC6m6ws9203ALSKLjMA6A6c225YLNKGDY5jDbfdiIqSEhMDGyPQhZEQAUCwKyiQRo2qf+2cLn/8uPu2G87d6QE0QZcZAAS7rCzHc8i//qQ7Ex/nc8+ejpWoATSLFiIACEaeusisVqmiomnZ/HxpxAj/xgcEGRIiAAhGDTdjdXaRNU6GQkKkujq/hQQEM7rMACAYNdyM1dPYoHvvdYwfstnYdgPwAi1EABCMUlOlIUPcB007FRQ4jhsGK00DXqKFCAC6Mm8WWXQOpnY+O7vQWGka8FpAE6Jt27Zp6tSpiouLk8Vi0Ztvvuk6d+7cOf385z/XsGHD1LdvX8XFxelHP/qR/vnPf7pdY/z48bJYLG6Pu+66y61MRUWF0tLSZLVaZbValZaWppMnT/rhDgGgg1paZLHhZqyrVtFFBnRAQLvMTp8+reHDh+vee+/VjBkz3M6dOXNGe/bs0S9+8QsNHz5cFRUVysjI0LRp01TQ6JvSnDlz9OSTT7pe9+7d2+38zJkzdeTIEeXm5kqS5s6dq7S0NL3zzjuddGcA0AHeLrLYeDPWuXPpIgPaKaAJUUpKilJSUjyes1qtysvLczv24osv6qqrrtLhw4c1YMAA1/E+ffrIZrN5vM6BAweUm5urXbt2afTo0ZKkV199VWPHjtXBgwd1+eWX++huAKADCgqkRx6Rli1r2yKLbMYK+ERQjSGy2+2yWCy68MIL3Y6vW7dOUVFRGjp0qBYuXKhTp065zu3cuVNWq9WVDEnSmDFjZLVatWPHjmY/q7q6WpWVlW4PAOg0DbvGPM0gY5FFoFMFzSyzb7/9Vo8++qhmzpypiIgI1/HU1FQNGjRINptN+/bt06JFi/Tpp5+6WpfKysoU7aE/PTo6WmVlZc1+XmZmppYsWeL7GwEAp5a6xtaske65p+l7WGQR6BRBkRCdO3dOd911l+rq6rRy5Uq3c3PmzHH9nJSUpMGDB2vkyJHas2ePRvzrj4bF2eTcgGEYHo87LVq0SAsWLHC9rqysVEJCQkdvBQDqeVpcsXHXmHNxRRZZBDpVl+8yO3funO68804dOnRIeXl5bq1DnowYMUK9evXSF198IUmy2Wz66quvmpQ7fvy4YmJimr1OWFiYIiIi3B4A4FOtdY1ZrcwgA/ykS7cQOZOhL774Qlu2bFG/fv1afc/+/ft17tw5xcbGSpLGjh0ru92ujz/+WFdddZUkKT8/X3a7XePGjevU+AGgRS0trpifLw0dygwywE8C2kJUVVWloqIiFRUVSZIOHTqkoqIiHT58WOfPn9ftt9+ugoICrVu3TrW1tSorK1NZWZlqamokSX//+9/15JNPqqCgQMXFxXrvvfd0xx136Morr9TVV18tSRoyZIgmT56sOXPmaNeuXdq1a5fmzJmjKVOmMMMMgH+0Z3FFyZH8sMgi4B9GAG3ZssWQ1OSRnp5uHDp0yOM5ScaWLVsMwzCMw4cPG9ddd50RGRlphIaGGpdeeqnxwAMPGF9//bXb53z99ddGamqqER4eboSHhxupqalGRUVFm2K12+2GJMNut/vo7gGYxvz5hiEZxgMPND1XWmoYNpthjBplGKtWOZ5tNsdxAB3mbf1tMQxPuwKiscrKSlmtVtntdsYTAWhdwxlkKSlSeblj/M/777svrihJ1dX1XWPsPwb4lLf1d5ceQwQAQcubGWQsrgh0GV1+lhkABCUWVwSCCi1EANAZWptBxuKKQJdCCxEAdDZPM8gAdCn86wSAzhId7VhMkcUVgS6PLjMA6Czx8VJxMYsrAkGAhAgAOhMzyICgQJcZAAAwPRIiAGiNN1tvAAhqJEQA0JKCAum226QtW6S1awMdDYBOwhgiAPDEufXGM89IR444juXkSOnpTbfeABD0SIgAoLGSEvetN5zKyz1vvQEg6NFlBgCNeUqGGmPrDaBbISECgMYa7kPmyS9/6diaA0C3QUIEAI2lpjr2G2vOzTf7LxYAfkFCBADesFgcz/36sfUG0A2REAGAJw33IXvpJWnkSMfr/HzHlhwAuhVmmQGAJ433IfvJT9iHDOjGSIgAoDnsQwaYBl1mALqvggJp1ChHdxfbbgBoAQkRgO4rK8uRCBUWsu0GgBbRZQageykpkfbulex298UT166VrrpKslqlYcPYdgOAGxIiAN1Lc6tMV1RI99xT/5ptNwA0QJcZgO5l0qSWz4eEsO0GgCZoIQIQ/Jw701ssUlFRy2V375ZGjPBLWACCBy1EAIJTQYE0YYLjeeBAx0yy5GTp+PFARwYgCJEQAQhOWVnSli2OwdINN2P1NDaoXz+pVy+pf3+23QDgUYe6zM6cOaPDhw+rpqbG7fh3v/vdDgUFAB6984708587fi4rczzn5Ejp6dKaNe6Dpp0KChxdZNXVLK4IoFntSoiOHz+ue++9V++//77H87W1tR0KCgA8mjat6bHjxx1dZU4hIVJdXf2zxeJ4XHCB/+IEEHTa1WWWkZGhiooK7dq1S71791Zubq5ef/11DR48WG+//bavYwRgZiUl0v/8j7RundS3b9Pzzi6ynj0dawwlJ0urVjmebTa6yAB4pV0tRJs3b9Zbb72lUaNGKSQkRImJibrpppsUERGhzMxM3XLLLb6OE4BZNbeuUGP5+dLQofWbsc6dy2asALzWrhai06dPK/pf37oiIyN1/F+zOoYNG6Y9e/b4LjoAyM52dH95IyzMkQxJjBcC0CbtSoguv/xyHTx4UJL0ve99Ty+//LKOHj2qVatWKTY21uvrbNu2TVOnTlVcXJwsFovefPNNt/OGYWjx4sWKi4tT7969NX78eO3fv9+tTHV1tebPn6+oqCj17dtX06ZN05EjR9zKVFRUKC0tTVarVVarVWlpaTp58mR7bh2Av6WmOtYOas4VV9A1BqDD2j2G6NixY5KkJ554Qrm5uRowYID+67/+S0uXLvX6OqdPn9bw4cO1YsUKj+eXLVum5cuXa8WKFdq9e7dsNptuuukmnTp1yi2WTZs2KScnR9u3b1dVVZWmTJniNrB75syZKioqUm5urnJzc1VUVKS0tLT23DqAriYrSyouluLjAx0JgGBm+MDp06eNwsJC4/jx4+2+hiRj06ZNrtd1dXWGzWYznnrqKdexb7/91rBarcaqVasMwzCMkydPGr169TJycnJcZY4ePWqEhIQYubm5hmEYxueff25IMnbt2uUqs3PnTkOS8de//tXr+Ox2uyHJsNvt7b1FAO1VWmoY/fsbRs+ehpGY6Hj06uU4Vloa6OgAdGHe1t/taiF68skndebMGdfrPn36aMSIEerbt6+efPJJX+RpOnTokMrKyjSpwb5EYWFhuv7667Vjxw5JUmFhoc6dO+dWJi4uTklJSa4yO3fulNVq1ejRo11lxowZI6vV6irjSXV1tSorK90eAAIkPl4qLZVOnZIOHXI8Kisdx2gZAuAD7UqIlixZoqqqqibHz5w5oyVLlnQ4KEkq+9eiazExMW7HY2JiXOfKysoUGhqqiy66qMUy0R7GFkRHR7vKeJKZmekac2S1WpWQkNCh+wHQQWFhjrWEGq4rxKBpAD7SroTIMAxZnDM5Gvj0008VGRnZ4aAaavw5zX12S2U8lW/tOosWLZLdbnc9SktL2xg5AAAIFm1ah+iiiy6SxWKRxWLRZZdd5pZQ1NbWqqqqSj/96U99EpjNZpPkaOFpOHOtvLzc1Wpks9lUU1OjiooKt1ai8vJyjRs3zlXmq6++anL948ePN2l9aigsLExhfPsEAMAU2pQQPf/88zIMQ/fdd5+WLFkiq9XqOhcaGqqBAwdq7NixPgls0KBBstlsysvL05VXXilJqqmp0datW/Wb3/xGkpScnKxevXopLy9Pd955pyTp2LFj2rdvn5YtWyZJGjt2rOx2uz7++GNdddVVkqT8/HzZ7XZX0gQAAMytTQlRenq6JEeyMm7cOPXq1atDH15VVaUvv/zS9frQoUMqKipSZGSkBgwYoIyMDC1dulSDBw/W4MGDtXTpUvXp00czZ86UJFmtVs2ePVsPPfSQ+vXrp8jISC1cuFDDhg3TxIkTJUlDhgzR5MmTNWfOHL388suSpLlz52rKlCm6/PLLOxQ/AADoJjo6ne3MmTOG3W53e3hry5YthqQmj/T0dMMwHFPvn3jiCcNmsxlhYWHGddddZ+zdu9ftGmfPnjXuv/9+IzIy0ujdu7cxZcoU4/Dhw25lvv76ayM1NdUIDw83wsPDjdTUVKOioqJN98m0e6ANdu82jBtucDwDQAB5W39bDMO5M6L3zpw5o0ceeUS///3v9fXXXzc53x13u6+srJTVapXdbldERESgwwG6tgcekF580fH8wguBjgaAiXlbf7drltnDDz+szZs3a+XKlQoLC9N///d/a8mSJYqLi1NWVla7gwYQxEpKpMJCac8eacMGx7GcHMfrwkLHeQDootrVQjRgwABlZWVp/PjxioiI0J49e/Tv//7vWrt2rd544w299957nRFrQNFCBLSgoEAaNar+tcUiGUb9s1Pb/9wAQId0agvRN998o0GDBkmSIiIi9M0330iSrrnmGm3btq09lwQQzJwtw86lOJyJj/O5Z0/HrvUA0EW1KyG65JJLVFxcLEm64oor9Pvf/16S9M477+jCCy/0VWwAujJPXWTN/fvPz3fsWg8AXVSbpt073Xvvvfr00091/fXXa9GiRbrlllv04osv6vz581q+fLmvYwTQFQ0cWP+zs2WoosK9TEiIVFfnt5AAoL3aNYaoscOHD6ugoECXXnqphg8f7ou4uhzGEAGNrFsnzZolnT/v+fy990r79jk2YN29m01YAQSEt/V3m1uI6urqtGbNGm3cuFHFxcWyWCwaNGiQbr/9dn33u9/tUNAAgkhqqjRkiJSc3PRcQYHjuGFINTVswgqgy2vTGCLDMDRt2jT9+Mc/1tGjRzVs2DANHTpUJSUlmjVrlm677bbOihNAVxYS4v7s7EKzWEiGAASFNiVEa9as0bZt2/SXv/xFn3zyid544w3l5OTo008/1QcffKDNmzezDhHQXRQUSBMmOJ6bEx0t2WyO1qBVqxzPNpvjOAAEkTaNIZo0aZImTJigRx991OP5pUuXauvWrfrf//1fnwXYVTCGCKbj7WrT1dVSaGj9mkN0kQHoQjplHaLPPvtMkydPbvZ8SkqKPv3007ZcEkBX0p7VpsPC6CIDEPTaNKj6m2++UUxMTLPnY2JiVNF42i2A4OFpKv3x4+4Dp1ltGkA31KYWotraWvXs2XwO1aNHD51vbgougK4vO9uxqrTEatMATKVNLUSGYWjWrFkKa6ZJvLq62idBAQiQlqbS5+dLI0b4PyYA8IM2JUTp6emtlvnRj37U7mAA+FFBgfTII9KyZdLIkU3PO1eZZrVpACbQpoTotdde66w4APhbVpa0ZYu0dq17QuScSp+QIM2eLa1e7Vhtmqn0ALoxn2zdYQZMu0e3UFIinTjhGDCdkiKVlzsSnfffd4wVioqSEhOZSg+g2+i0rTsABDFvZ5E1TH6YSg/ABNo0ywxAkGMWGQB4RAsRYCbMIgMAj2ghAsyq8YasAGBi/CUEzIYNWQGgCbrMALOJj5eKi+tnkc2dyywyAKZHQgSYEbPIAMANXWYAAMD0SIgAAIDpkRABAADTIyECAACmR0IEAABMj4QIAACYHgkRAAAwPRIiAABgel0+IRo4cKAsFkuTx7x58yRJs2bNanJuzJgxbteorq7W/PnzFRUVpb59+2ratGk6cuRIIG4HAAB0QV0+Idq9e7eOHTvmeuTl5UmS7rjjDleZyZMnu5V577333K6RkZGhTZs2KScnR9u3b1dVVZWmTJmi2tpav94LAADomrr81h39+/d3e/3UU0/p0ksv1fXXX+86FhYWJpvN5vH9drtdq1ev1tq1azVx4kRJUnZ2thISEvTBBx/o+9//fucFDwAAgkKXbyFqqKamRtnZ2brvvvtksVhcxz/88ENFR0frsssu05w5c1ReXu46V1hYqHPnzmnSpEmuY3FxcUpKStKOHTua/azq6mpVVla6PQAAQPcUVAnRm2++qZMnT2rWrFmuYykpKVq3bp02b96sZ599Vrt379aECRNUXV0tSSorK1NoaKguuugit2vFxMSorKys2c/KzMyU1Wp1PRISEjrlngAAQOB1+S6zhlavXq2UlBTFxcW5jv3whz90/ZyUlKSRI0cqMTFR7777rqZPn97stQzDcGtlamzRokVasGCB63VlZSVJEQAA3VTQJEQlJSX64IMPtHHjxhbLxcbGKjExUV988YUkyWazqaamRhUVFW6tROXl5Ro3blyz1wkLC1NYWJhvggcAAF1a0HSZvfbaa4qOjtYtt9zSYrmvv/5apaWlio2NlSQlJyerV69ertlpknTs2DHt27evxYQIAACYR1C0ENXV1em1115Tenq6evasD7mqqkqLFy/WjBkzFBsbq+LiYj322GOKiorSbbfdJkmyWq2aPXu2HnroIfXr10+RkZFauHChhg0b5pp1BgAAzC0oEqIPPvhAhw8f1n333ed2vEePHtq7d6+ysrJ08uRJxcbG6oYbbtCGDRsUHh7uKvfcc8+pZ8+euvPOO3X27FndeOONWrNmjXr06OHvWwEAAF2QxTAMI9BBBIPKykpZrVbZ7XZFREQEOhwAAOAFb+vvoBlDBAAA0FlIiAAAgOmREAEAANMjIQLaoqBAmjDB8QwA6DZIiIC2yMqStmyR1q4NdCQAAB8Kimn3QECVlEgnTkgWi7Rhg+NYTo6Uni4ZhhQVJSUmBjZGAECHkBABrRk4sP5n5/53x49Lycn1x1m9AgCCGl1mQGuysyXnCunOxMf53LOn4zwAIKjRQgS0JjVVGjLEvUXIKT9fGjHC/zEBAHyKFiKgLUJC3J8BAN0Cf9UBb0RHSzabo5Vo1SrHs83mOA4ACHp0mQHeiI+Xioul0FDHwOq5c6WaGiksLNCRAQB8gIQI8FbD5MdiIRkCgG6ELjMAAGB6JEQAAMD0SIgAAIDpkRABAADTIyFC98XO9AAAL5EQoftiZ3oAgJeYdo/uhZ3pAQDtQEKE7oWd6QEA7UCXGboXdqYHALQDLUToXtiZHgDQDrQQoftiZ3oAgJeoKdD9sDM9AKCN6DJD98PO9ACANiIhQvfEzvQAgDagywwAAJgeCREAADA9EiIAAGB6JEQAAMD0unRCtHjxYlksFreHzWZznTcMQ4sXL1ZcXJx69+6t8ePHa//+/W7XqK6u1vz58xUVFaW+fftq2rRpOnLkiL9vBQAAdGFdOiGSpKFDh+rYsWOux969e13nli1bpuXLl2vFihXavXu3bDabbrrpJp06dcpVJiMjQ5s2bVJOTo62b9+uqqoqTZkyRbW1tYG4HTRWUCBNmOB4BgAgQLp8QtSzZ0/ZbDbXo3///pIcrUPPP/+8Hn/8cU2fPl1JSUl6/fXXdebMGa1fv16SZLfbtXr1aj377LOaOHGirrzySmVnZ2vv3r364IMPAnlbcMrKkrZskdauDXQkAAAT6/IJ0RdffKG4uDgNGjRId911l/7xj39Ikg4dOqSysjJNmjTJVTYsLEzXX3+9duzYIUkqLCzUuXPn3MrExcUpKSnJVaY51dXVqqysdHvAR0pKpMJCac8eacMGx7GcHMfrwkLHeQAA/KhLL8w4evRoZWVl6bLLLtNXX32lX/3qVxo3bpz279+vsrIySVJMTIzbe2JiYlTyrwq1rKxMoaGhuuiii5qUcb6/OZmZmVqyZIkP7wYuAwfW/2yxOJ6PH3ffkNW5Qz0AAH7QpVuIUlJSNGPGDA0bNkwTJ07Uu+++K0l6/fXXXWUszgr1XwzDaHKsMW/KLFq0SHa73fUoLS1t512giexsqee/cnFn4uN87tnTcR4AAD/q0glRY3379tWwYcP0xRdfuGabNW7pKS8vd7Ua2Ww21dTUqKKiotkyzQkLC1NERITbAz6Smirl53s+l5/vOA8AgB8FVUJUXV2tAwcOKDY2VoMGDZLNZlNeXp7rfE1NjbZu3apx48ZJkpKTk9WrVy+3MseOHdO+fftcZdBJvJ09FhLi/gwAQAB06TFECxcu1NSpUzVgwACVl5frV7/6lSorK5Weni6LxaKMjAwtXbpUgwcP1uDBg7V06VL16dNHM2fOlCRZrVbNnj1bDz30kPr166fIyEgtXLjQ1QWHTtRw9tjIkU3PR0dLNpuUkCDNni2tXi2VljqOAwDgZ106ITpy5IjuvvtunThxQv3799eYMWO0a9cuJSYmSpIeeeQRnT17Vj/72c9UUVGh0aNH689//rPCw8Nd13juuefUs2dP3XnnnTp79qxuvPFGrVmzRj169AjUbXVfJSXSiROOgdINZ4+lpzvGCEVFSf/6b6f4eKm4WAoNdZSfO1eqqWFXegBAQFgMg+k83qisrJTVapXdbmc8UXMaDlS3WBxJkPPZif/dAAB+5G39zcAN+A6zxwAAQYqECO2TlSVddJHj2YnZYwCAIEVChPZ59lnp5Elp+XLP55k9BgAIIl16UDW6mP/3/6RDhxzjgpyb7H72mbRunaNrbNAgx6BpZo8BAIIMg6q9xKBquQ+abo5hSNXV9bPHDIPZYwCAgGFQNXyj4QKL//EfLZd1ng8Lq0+eLBaSIQBAl0dChJY1XGBx5crmZ4plZzvOAwAQhBhDhKZaWmDx0KHAxgYAQCcgIUJTAwfW/+zs+jp+XEpOrj/ep490663Sm29K334rXXaZHwMEAMC36DJDU60tsPjKK9KpU47ZZadOSRUV0qhRgYkVAAAfoIUITaWmSkOGuLcIOeXnSyNG1L8OCZHMOusOANBt0EKElrHAIgDABKjl4Fl0tGOBxeRkadUqx7PNxgKLAIBuiS4zeBYfLxUX1y+wOHcuCywCALotEiI0r2HywwKLAIBujC4zAABgeiREAADA9EiIAACA6ZEQAQAA0yMhAgAApkdCBAAATI+ECAAAmB4JEQAAMD0SIgAAYHokRAAAwPRIiAAAgOmREHV1BQXShAmOZwAA0ClIiLq6rCxpyxZp7dpARwIAQLfFbvddUUmJdOKEY4f5DRscx3JypPR0yTCkqCgpMTGwMQIA0I2QEHUlBQXSf/yHe/eYxeJ4Pn5cSk6uP24Y/o0NAIBujC6zriQrqz4ZCvnXfxpn4uN87tlTys72f2wAAHRjJESB9s470ne/K/3yl+6JTt++nsvn50upqf6JDQAAk+jSCVFmZqZGjRql8PBwRUdH69Zbb9XBgwfdysyaNUsWi8XtMWbMGLcy1dXVmj9/vqKiotS3b19NmzZNR44c8eetNG/aNGnvXun//l+poqL++KlT7uVCuvR/KgAAglqXrmW3bt2qefPmadeuXcrLy9P58+c1adIknT592q3c5MmTdezYMdfjvffeczufkZGhTZs2KScnR9u3b1dVVZWmTJmi2tpaf95OvZISqbBQ2rNHiohovfy99zrGD9lsUnR058cHAIDJdOlB1bm5uW6vX3vtNUVHR6uwsFDXXXed63hYWJhsNpvHa9jtdq1evVpr167VxIkTJUnZ2dlKSEjQBx98oO9///uddwPNGTiw/mfnoOnmFBQ4kiHDkGpqpLCwTg0NAAAz6tItRI3Z7XZJUmRkpNvxDz/8UNHR0brssss0Z84clZeXu84VFhbq3LlzmjRpkutYXFyckpKStGPHjmY/q7q6WpWVlW4Pn8nOdgyOllqfLeZMmCwWkiEAADpJ0CREhmFowYIFuuaaa5SUlOQ6npKSonXr1mnz5s169tlntXv3bk2YMEHV1dWSpLKyMoWGhuqiiy5yu15MTIzKysqa/bzMzExZrVbXIyEhwXc3k5rqGBztic3mWGOoVy+pf3+6yAAA8IMu3WXW0P3336/PPvtM27dvdzv+wx/+0PVzUlKSRo4cqcTERL377ruaPn16s9czDEOWFrqrFi1apAULFrheV1ZW+jYpcgoJkerq6p//53+kESOk6mpahQAA8JOgaCGaP3++3n77bW3ZskXx8fEtlo2NjVViYqK++OILSZLNZlNNTY0qGs7gklReXq6YmJhmrxMWFqaIiAi3h09FRztag5KTpVWr6gdNx8Q4EqELLiAZAgDAT7p0QmQYhu6//35t3LhRmzdv1qBBg1p9z9dff63S0lLFxsZKkpKTk9WrVy/l5eW5yhw7dkz79u3TuHHjOi32VsXHS8XFjq6zn/zE8Vxc7DgOAAD8qkt3mc2bN0/r16/XW2+9pfDwcNeYH6vVqt69e6uqqkqLFy/WjBkzFBsbq+LiYj322GOKiorSbbfd5io7e/ZsPfTQQ+rXr58iIyO1cOFCDRs2zDXrLGAatgDRPQYAQMB06YTopZdekiSNHz/e7fhrr72mWbNmqUePHtq7d6+ysrJ08uRJxcbG6oYbbtCGDRsUHh7uKv/cc8+pZ8+euvPOO3X27FndeOONWrNmjXr06OHP2wEAAF2UxTDYJdQblZWVslqtstvtvh9PBAAAOoW39XeXHkMEAADgDyREAADA9EiIAACA6ZEQAQAA0yMhAgAApkdCBAAATI+ECAAAmB4JEQAAMD0SIgAAYHokRAAAwPRIiAAAgOmREAEAANMjIQIAAKZHQgQAAEyPhAgAAJgeCREAADA9EiIAAGB6JEQAAMD0SIgAAIDpkRABAADTIyECAACmR0IEAABMj4QIAACYHgkRAAAwPRIiAABgeiREAADA9HoGOgAAABCcautq9dHhj3Ts1DHFhsfq2gHXqkdID79fwxdIiAAApuSsiI9WHtXxM8fVv09/XRxxsV8q5OaSgNq6Wn1Y/KE+LP5QkjR+4HiNHzi+TfE0d1/j4sdpx5Edbsdt/2aTJJWfLm9zMvKH/X/Qz977mU6cOeE6Fh8Rrxcmv6DpQ6Z7dY2NBzbqwdwHdaTySLuv4SsWwzAMv35ikKqsrJTVapXdbldERESgwwFgAt58c25cxlnptffbdmsVcke/zbfnnq4dcK0kNZtAeHP/jcudOH1C//nn/3SriJ06u0JuLgm4O+lu/e6T3+nrs1+7le/Xu59emfqKV/F4urZTD0sP1Rq1Lb7f23t/JO8RPb3jaY/nLLLoj3f+sdVrbDywUbf//nYZck9DLLJIklfX8Ia39TcJkZdIiADPfF0ht/Q5zoq6zqhTvz79FNM3xu0bfcNYovtGq86o07aSbZLa/03bV9/W25oAvHXwrVa/OXuq/BpXem2p3Dce2Ki578xttkKW1KFv8960Bngq0693P0lyi8uZQLyx741W799TudZ4W6m3VXNJgDf+dOefWoynI9d28iYZ+eP+P+qOP97R4nUSIhJ06MFDzf5bqa2r1cAXBjb738Qii+Ij4lu8hrdIiHzMjAlRV+nXbY/OiD2Yfx+NtXYv3t6rryvk5jRXUTf8DG8qvbZ+024pOejsBMDTvTasrCR5Vfl5+21744GNmvH7Ga3eU0eu31prgOTdPfmDLytkp9aSgNbEh8erOKPYYzwdvXZDLd17bV2tYp+N1fEzx1u9zpb0LRo/cLzHcx8Wf6gbXr+hQ9fwFgmRj3VGQtT426zzteT4JnrtgGs75Zu2N1r6Qz5l8BStLFipv3/zd10aeal+NvJnCu0Z6vG+Woq7sxKMzuiT7kr93B3V2r14e6/efhvtaPN3eyvqlnjzTbu1z2zvt/WOJgAWWXRxxMUyDENHTx31+j0tVe61dbVKfD7R6+u15/qttQa09Z78xRcVspO3SUB74vHFtb35rLZ8zvrp63X3sLs9nntj7xuauXFmh67hLW/rb1MNql65cqWefvppHTt2TEOHDtXzzz+va6+9NiCxtNTPK0m/+uhXClGI6lTnOuavCri5P+RHK49qxu9nNIlr4Z8XasHYBVp207I2VaadkWC0FPvtv7+9XZVyZ1wzUFq7l4XjFuqZHc+0eq+1dbV6MPdBrypyQ4YssigjN0M/uPwHbe5uevD9B70u760H33+w2Vi8/cxWr9HM78f5+3B+RltbQwwZbW4FMGSotLJUHx3+yGNl+tHhjzqUiHhz/ZZibs89+cuxU8e61LWau4Yv42zpmm35nNjw2Hada085XzDNOkQbNmxQRkaGHn/8cX3yySe69tprlZKSosOHD/s9Fmel1NofgIZJh1RfKW08sLHTYmvtD7mnuGqNWj2942ndmnOrx/tqHHdz99/R+/Mm9ozcDNXWtTyosLOvGSje3Mvyncu9utfWKjhP73dWmG3x0eGPdOSU7yvKI6eONBuLt5/Z6jVaSwBOHemUe2tJZ1em/qys/cWXFbIvrtXcNTojcfB0TW8/p3+f/q7B8J5cO+BaxUfEu1pMG7PIooSIhBav4WumSYiWL1+u2bNn68c//rGGDBmi559/XgkJCXrppZf8Gkdbvlk35o8KuK0VXUNvHXyr1cq05nxNpyUY3lRCba2UO+OageLNvbQ0A6Xhvba3gmvr+zqzIvVF5R1sCUBnV6b+rKw7W2dUyK0lAa2JD49vNh7ntX2hpXv39nN+e/NvW2wN7hHSQy9MfsH1eY0/X5Ken/y8X8dpmiIhqqmpUWFhoSZNmuR2fNKkSdqxY4fH91RXV6uystLt4QsdSTikzq+AO+sPuTPulQUrOy3B8DZ2X1R4HblmoPiyFaC9FVxb39eZFakvKu9AJADO8ToXh1/sdcXaWuV+7YBrdXH4xR2KqbXrt9Ya0NZ78gdfV8gtJQHeeCHlhWbjcV67o7+/1pIRbz7n4XEP646hLc9Ck6TpQ6brj3f+URdHuP+/Fx8RH5ChCKZIiE6cOKHa2lrFxMS4HY+JiVFZWZnH92RmZspqtboeCQkJPomls5umO6qzv8n9/Zu/e1WuPffXGX3SXbGfu7182QrQ1m+67f22fe2AaxUf7ptvvQ21+k3bi8/05tt6iwlAeLziw9vWWuAs+8LkF/RfKf/ldqy197RUufcI6eG6nrcxtPX6rbUGtOWeOltCREKnVcjNJQEJEQl6eNzDriUGGurXu1+rg/gbXru5FpweltaTO2+SkeY+p3+f/vrD7X/QspuWtfo5Da9V/GCxtqRv0frp67UlfYsOPXgoIOMyTTWo2mJx/0dmGEaTY06LFi3SggULXK8rKyt9khR1dtN0Rzn/kB+tPNopU18vjbzUq3Ltub/WYnd+C21LpdwZ1wwUb+4lxBLSbLdZw3t1VnC3//52WWRp8f+VjjR/9wjpoRdSXvD5LLNWv2l78ZnefFv39PtxJQApjgShuTKGjCbT7+Mj4vX85OddlcUf7/yjV8seNHxPc6YPma4/3fmndq1D5O31PcXrzT15WocoISJBdyXd1eo6RM2VS4hI0LOTnlX/vv39vlL19CHT9YPLf+Bxlm3mjZkdWvuq4bU7c6Xqlu6hrXqE9PDZTL6OMMW0+5qaGvXp00d/+MMfdNttt7mOP/jggyoqKtLWrVtbvYavpt07p5+2N+HojLUxGnMOepbaPgOmOc64v5z/pS598dJWE4z23l9zsXdk6ndnXDNQWrsX5yyz5s43vldv1iFKiEjwqsJsLe6W1iFqrtJrrCusQ9T499FSGW8qHFaqbt9K1cG8jhjahnWIGhk9erSSk5O1cuVK17ErrrhCP/jBD5SZmdnq+325DlF7Ew5/VsCe/kj/W+i/qaqmqtn3/ODyH+jtg29Larky7ewEw5tKqCtcM1Bau5e23isrVbd+jfYkAFTWgG+QEDWyYcMGpaWladWqVRo7dqxeeeUVvfrqq9q/f78SExNbfb+vF2ZsbR0iSU3W+/F3Bezpj/SivyzS8p3L3VoAelh6tLgOkae4OzvBYKXqlvlqpWoA6OpIiDxYuXKlli1bpmPHjikpKUnPPfecrrvuOq/ea7aVqltSc76mS69UDQCAEwmRj5lxLzMAAIKdt/W3KabdAwAAtISECAAAmB4JEQAAMD0SIgAAYHokRAAAwPRIiAAAgOmREAEAANMjIQIAAKZHQgQAAEyvZ6ADCBbOBb0rKysDHAkAAPCWs95ubWMOEiIvnTp1SpKUkJAQ4EgAAEBbnTp1Slartdnz7GXmpbq6Oh08eFBXXHGFSktL2c8sACorK5WQkMDvPwD43QcWv//A4XcfOL763RuGoVOnTikuLk4hIc2PFKKFyEshISG6+OKLJUkRERH8wwggfv+Bw+8+sPj9Bw6/+8Dxxe++pZYhJwZVAwAA0yMhAgAApkdC1AZhYWF64oknFBYWFuhQTInff+Dwuw8sfv+Bw+8+cPz9u2dQNQAAMD1aiAAAgOmREAEAANMjIQIAAKZHQgQAAEyPhKgNVq5cqUGDBumCCy5QcnKyPvroo0CH1O1lZmZq1KhRCg8PV3R0tG699VYdPHgw0GGZUmZmpiwWizIyMgIdimkcPXpU99xzj/r166c+ffroe9/7ngoLCwMdlimcP39e/+f//B8NGjRIvXv31iWXXKInn3xSdXV1gQ6t29m2bZumTp2quLg4WSwWvfnmm27nDcPQ4sWLFRcXp969e2v8+PHav3+/z+MgIfLShg0blJGRoccff1yffPKJrr32WqWkpOjw4cOBDq1b27p1q+bNm6ddu3YpLy9P58+f16RJk3T69OlAh2Yqu3fv1iuvvKLvfve7gQ7FNCoqKnT11VerV69eev/99/X555/r2Wef1YUXXhjo0EzhN7/5jVatWqUVK1bowIEDWrZsmZ5++mm9+OKLgQ6t2zl9+rSGDx+uFStWeDy/bNkyLV++XCtWrNDu3btls9l00003ufYY9RkDXrnqqquMn/70p27HvvOd7xiPPvpogCIyp/LyckOSsXXr1kCHYhqnTp0yBg8ebOTl5RnXX3+98eCDDwY6JFP4+c9/blxzzTWBDsO0brnlFuO+++5zOzZ9+nTjnnvuCVBE5iDJ2LRpk+t1XV2dYbPZjKeeesp17NtvvzWsVquxatUqn342LUReqKmpUWFhoSZNmuR2fNKkSdqxY0eAojInu90uSYqMjAxwJOYxb9483XLLLZo4cWKgQzGVt99+WyNHjtQdd9yh6OhoXXnllXr11VcDHZZpXHPNNfrLX/6iv/3tb5KkTz/9VNu3b9fNN98c4MjM5dChQyorK3Orf8PCwnT99df7vP5lc1cvnDhxQrW1tYqJiXE7HhMTo7KysgBFZT6GYWjBggW65pprlJSUFOhwTCEnJ0eFhYUqKCgIdCim849//EMvvfSSFixYoMcee0wff/yxHnjgAYWFhelHP/pRoMPr9n7+85/LbrfrO9/5jnr06KHa2lr9+te/1t133x3o0EzFWcd6qn9LSkp8+lkkRG1gsVjcXhuG0eQYOs/999+vzz77TNu3bw90KKZQWlqqBx98UH/+8591wQUXBDoc06mrq9PIkSO1dOlSSdKVV16p/fv366WXXiIh8oMNGzYoOztb69ev19ChQ1VUVKSMjAzFxcUpPT090OGZjj/qXxIiL0RFRalHjx5NWoPKy8ubZK3oHPPnz9fbb7+tbdu2KT4+PtDhmEJhYaHKy8uVnJzsOlZbW6tt27ZpxYoVqq6uVo8ePQIYYfcWGxurK664wu3YkCFD9Kc//SlAEZnLww8/rEcffVR33XWXJGnYsGEqKSlRZmYmCZEf2Ww2SY6WotjYWNfxzqh/GUPkhdDQUCUnJysvL8/teF5ensaNGxegqMzBMAzdf//92rhxozZv3qxBgwYFOiTTuPHGG7V3714VFRW5HiNHjlRqaqqKiopIhjrZ1Vdf3WSJib/97W9KTEwMUETmcubMGYWEuFeRPXr0YNq9nw0aNEg2m82t/q2pqdHWrVt9Xv/SQuSlBQsWKC0tTSNHjtTYsWP1yiuv6PDhw/rpT38a6NC6tXnz5mn9+vV66623FB4e7mqls1qt6t27d4Cj697Cw8ObjNXq27ev+vXrxxguP/jP//xPjRs3TkuXLtWdd96pjz/+WK+88opeeeWVQIdmClOnTtWvf/1rDRgwQEOHDtUnn3yi5cuX67777gt0aN1OVVWVvvzyS9frQ4cOqaioSJGRkRowYIAyMjK0dOlSDR48WIMHD9bSpUvVp08fzZw507eB+HTOWjf329/+1khMTDRCQ0ONESNGMPXbDyR5fLz22muBDs2UmHbvX++8846RlJRkhIWFGd/5zneMV155JdAhmUZlZaXx4IMPGgMGDDAuuOAC45JLLjEef/xxo7q6OtChdTtbtmzx+Hc+PT3dMAzH1PsnnnjCsNlsRlhYmHHdddcZe/fu9XkcFsMwDN+mWAAAAMGFMUQAAMD0SIgAAIDpkRABAADTIyECAACmR0IEAABMj4QIAACYHgkRAAAwPRIiAABgeiREAADA9EiIAACA6ZEQAQAA0yMhAgAApvf/AbkBXu2S8fX1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no of iterations: 36000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m2 = np.random.randn(1)\n",
    "c2 = np.random.randn(1)\n",
    "\n",
    "rate = 0.001\n",
    "par = 40000\n",
    "\n",
    "for i in range(par):\n",
    "    y_new=forward_pass(x,m2,c2)\n",
    "\n",
    "    dm = (1.0/N) *  -np.sum(x)\n",
    "   \n",
    "    dc = (1.0/N) * -np.sum(1)\n",
    "    \n",
    "    m2 = m2 - rate * dm\n",
    "    c2 = c2 - rate * dm\n",
    "    if i%4000==0:\n",
    "        L_2.append(loss(y_new,y))\n",
    "        print (\"no of iterations:\",i )\n",
    "        plt.plot(x,y,'go')\n",
    "        plt.plot(x,y_new,'r*')\n",
    "    #plt.plot(x,m2*x+c2,'r*')\n",
    "        plt.ylabel('Data')\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 221,
   "id": "6633d530",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x23690065c40>]"
      ]
     },
     "execution_count": 221,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(L_1,'green')\n",
    "plt.plot(L_2,'blue')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 201,
   "id": "35af0e89",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([1.83405468]), array([-0.24758552]))"
      ]
     },
     "execution_count": 201,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m1,c1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 202,
   "id": "f5a167f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([1.97435789]), array([-0.394973]))"
      ]
     },
     "execution_count": 202,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m2,c2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "add31d3b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}