KNN(k nearest neighbours).ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "plt.style.use('fivethirtyeight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "X,y= make_blobs(n_samples=300,centers=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
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   "source": [
    "X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
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       "       0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1], c=y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CxqVYYjcc8nDojamdiKXt26LrbhZh4/TY5AR4zafx2J8iEqxuLkUS+1q1U7Kr+ATwMjBfSvlogmN6AGullFIIMZxI0uy8678ritI5yHrXzbqzyuXNUjzNWYRgafx2uRjhrEFqkaHCSO8nT/zt0XGIPKmZxhg89tfosul6jssTjds1SqrPICfNRJIJLmXfGmWkhP+CRu2Gk9CdhQQ89yO1bKTIj5SlSwuP9RaGMw2Jj7BxNo4+LO56hvNbwrgcMgnro1uNuSMle4jvQOA8YI4QYsNqiH8D+gBIKZ8DRgNXCiEsIACMkR31YkxRlG2W1PLAiS1msB0PpueQNp0v5HoEgfjtBBDUIOnZ+LuDFCkuj0M+NLkOW1og0gh4n8RnPhZZqULq6CxotYrPIYOQ52oqGnYnVy5NsP5f5LbR5NRIYw0p5lVAOo7oTshzC44+tG0rXcjE6duhANvYCo0XE0hqgpJS/kjrlZZIKZ8Gnk5mHIqibH9Cxl/QwrehNU6ElXioCw1FSz2kTefb+h5IsxeC2MVaHZEfmSwLGNZYfOZLaJTG5CdBZJKrz3oCw/mZgPcJpNadoC9SMu4L/xPDntvq/R0xGMs4HShCii5I0uM63m64lxuNEBBCkxUI857GPlAbH55ztL7oznLXfULEJ+ytSa0koSjKNsnRB9HgfwVv+N8YziwkWdSEBpGNQ5ter4sUQp7zGhNQWeSa9CRkXNY4ZNaAz3wVjcg6ee4TfW10ZyaG+RoCE92ZhSar45YVcr29LEezZ9Iv52V84TRk6/8v3ypNrsQfugXbGIWpn9Bqogp5b0MP/h43J2zDJ+pMVIJSFGWbpduTMZwpjV+2ZfTKWoIVXknQ+1jCHkVCrkOzl+Ho/bGMU7H1kRjWx4COZZyGFNmN156CaFYpl4gghN9+Ju6r3a1/VOx5ZaSEbyIttRac+BHEjZ0fey3wyF8xzCl4zHex9APQ5TIkqYSN83D0XZuuK3Jp8LxEqnlh08TexvvZSViuaHOoBKUoyrZJSrzWezFPAkI46M5MNGcmjr533PE+8+8Y9q9olOOY3bD0EYQ8d2F6Lou/vMgEfOAy7NaS+9NV60lGEIzp0tvyuE15lhE46CxHs5dHz9fDMwl5bopZFFYafQlxHV7rbTRZiiQdWxtCyPPXTbhr8qgEpSjKNqreddUDjQYM5zfCGxKUDAMGHvs9PPb46OoRGuV47PE42kDXJn6OtieO6IfeYmHU9pCkIvEjqIxJOJGnpY33T4qUnje0O1k1P16jEq/1Ztyq5ZZxKpZ+PJpchhQ5SNGtnXdJPtWwUFGUbVQqUmTEbY007xuKZk8nJXgJaaHTSA2NwWu+Fbe0kcDEsH9wv7zQCHgfwtKGITfx/+UFDoK6TXo6kmiE9AswtVPaNJ+qdevdGwoKL442sFMmJ1AJSlGUbZXQMPWj47rf2togHG0QKeH/w5Cz0eRadLkMQWmiCyW8hdQKCPieixQebEqIBBGEE961eeKJ9KeKfCU7pGFp+2N6zifkvQlHDEqYpGSLzrvux2Umdc28ZFFDfIqibLNMz0VIkYfH+hwwqazJI6XbXXjNF+Iq6dzeCUl8WPqhG7+Pdhwe+7OYd0aJtKe4QZJOfag7KX4ftjYUUzsYXc7H1obh6Ls1HmXQ4HsZj/0Ruv07NrloVKLJ9ThaLhYH4rOfRKMCsF2LNew2NDXsjFSCUhRlm2YZx2MZkXbtxauKKMxLiVuuaANJOlKkI+Q6pMjF0g7E1E9zPVbYy/DaHyBFOppd1Kbk1B4SMPXjWFR+CoU774zmzMRjfxmZh6X1bxGMF9MYg2mMaXGRIKmhy9Eby+RdPwegySVbNPaOohKUoijbHdM4HiM8KW6tPlvbg6D3XjRZjCN6QWNJeUte80U8zSoEpctSR4m07f2SwBa7EvZcDyzDH74Lw5mIwEYCPuu/NHgexzFiKxGFU9zYFn5nEDoe6220uPZ68TQqGleQMPBY72DY3wMWjjaEkOfajfaA2lpUglIUZbtja8Mx9cMw7Elo1Ea6zor+hDy3gsjGSZCYAIRTjsd6C42mtf7c+kZtDpNRhPwPA5DmXRBNTpF7AQRIMW+kXv8OhEDISvzh29CcpQjCOCKfkOdadGd+GxNiBmDgNZ/Aa38QXbFC2nPQ5HICvs65mI9KUIqibB9kPd3Tx+IP1WLqoyLzm/QzMOwJOFpfLP04EN6NXsYfviMmOUUvT/vmJrU6B0pr6s2Rm/at6/ChoB7N+QNH3xV/+G4MZ2Z0ny6X4As/gqUd0IY4UjH1o4AQHvuHmOWUBKA5c9HsuTh655qkCypBKYqyHRDOalLCN5CetQzhgOF8g20PI+B9lLA+pO0XknUIuSLBTg1oe9Mnm13QWeRStCCwm60ybjnuvasEIORakH3RXNbO0yhGagXYsg96sw7AsVV8XkwxDNNzEcIpAapdrlOPLhfgEElQuv0zXut/IAM42k6EPNeASzl/R1Bl5oqibPN85r8jpeSN2UAQQnemYtjj23UdTa5zXbC1PSQaltiDgO95QuJcJEY0aUh0bG1vTP2M6PFrak5znWflkIat78OGAvSWBDS2cn8SUzsMW+yKTffovsifMIb8Hc2aji/8WFxb+Mh9srHEPgAY5heNT2u/YMhZeO2PSA1d3TjZueOpBKUoyjZPk/GLs0Ym4U5u13UckY8kvl+qgxfZYr4VxKcNBz9hMQZHFOA37wGjgDrf14SMazG1Ywl67ibgfRpEU9GFIzMI6ZfHFGI4+AjrF4DIBJGBo/V2iSkfUz8aqRUQ9D1Eg/9VEDlxT2waNfjNBzHkD4gWT4CRhDkCqfXBG34Mv/VPtBZPWZpchMf+1P1vWJKpIT5FUbZ5khTX7U57m3MLL6ZxCsL6Lxo1jdf2YenHojmL0WRsCw1JFxzRDagBsrHE7nicCWiyHADD+Qld+5Gg9zHMBIvXApjeC7HkcXjMdxCECOtnIfW+0f1Bz72khG9Fk8uBII7oTdj4c5uH3gTr45ITgM1OBL334TWfwmu/71oMIrDR7bmYRsc3MlQJSlGUbZ6lH4tmLUFrVlbukI/pubDd1zI952JrQ/Ba7wEWpn4Mtn44wllFinkHmlwBmDiiD0HPTTjavoANwiAleCEa5dFrCWwMZwa68yu2vr/r/QQWhvUZmrMCSz8KRx8cd4zUetDgexVNLkQ4tdj67q6l4bY2FM1egGj2bOeQjqQrbu+fpFYAQmA4PyesVJQYWC6deTuCSlCKomzzTM8ZQBi7/hNSfDaO6EbIczWyvU9QjRx9b4ItVkOXeh8atNfR5CKQIRxtSKRvFAAGSBtB/ARhQQDD/tE1QQmnjIF5d+I3VyOw8dgfYekjCXnuRXOK8FlPIJxypEjFNE6MNDhs5cVMyHM9QpaiO3PQqMIWPbH0owEDzVoZ0+rdIQ1TPzUSh0z83s3WdsXSj0180yRKeoISQhwDPAHowEtSygdb7PcBrwPDgArgLCnl8mTHpSjK9sX0nENR+XAKCwuTdxMhcBItGyR0IL4iL/KeZ5DrKT7zITzepgo8jVo89nfY2v74zOei3YKRoJkrAA3LOLWV+LwEfY8inGI0pwRbHwgiK5I85WoMezqC9TgiD0s/CtuIlKk7Wj6aE9v7SqJjakcT8t7eLBF3rKTeVQihA/8BjgSKgalCiE+ljJn6fAmwXkq5sxBiDPAQEL/2vaIoSidn6scirJdjhxpFv4RPIJpcFbdNEMBrvtSUnDYcSx0e67PWE1QjqfXC1no1u6hOyHsfYVmBkKU4oi+IpmQaNG4hxfwrmlyOQOKQgaUfSsh710bvlUzJTovDgcVSyqUAQoj/AScDzRPUycC9jT9/ADwthBBSys1fYV5RFKUDmcaZeKwPkM17OMkGhLMKqfd3OSPREkPu6/61XLqpvaToihRd47fr/WjQXsdjj0U4xVj6sTjtmT+WJCKZeUAIMRo4Rkp5aePv5wH7SSmvaXbM3MZjiht/X9J4zDqA6urqaIBFRUVJi1VRFGVzdU//mPys9+O6zVcF9mJpxS1xx/fMeJ/uGZ+haU3vhkJWV8pqj6Eg+39oIjZRVQf2ZElF5+p6uzmaD8dmZWXFlTkm+wnKra6yZUZsyzEAyR1b3gKKioo6fYwtqZg7hoq5Y2ztmP2hMoTLYhMZqQEKc1zikrdTVhaiW9YfCBnAEd2wUq8gO30YTngxwpkRra6zRR/0rDspzOkbf50O1lF/n5OdoIqB5jPMegElCY4pFkIYQBZQmeS4FEVRtjgp8hJsd1/OCCEoqTmXtLwBQBiEP7or4H0Cw/4Kw/4JR+tF2DgnMnF3B5LsBDUVKBRC9AdWA2OAP7U45lPgAuAXYDTwrXr/pCjKtijsuRjd/gWdpoo4hy6E9XNaP1FogL/FNh3LOA7LOG7LB7qNSGqCklJaQohrgK+IlJm/IqWcJ4S4D5gmpfwUeBl4QwixmMiT05jEV1QURem8pMgl4H0Un/UUmixHinTC+p+wjYMSnFBFt7Qv8Vi/Y+rHgohfTimZPOa7eK1XEdQh8WNqRxH23rDVyspbSnoUUspxwLgW2+5u9nMQOKPleYqiKNsiqfcnqD+60eMM63N85vNkdClFmuAx3yLk/WvCFSe2NK/5HF7rv9ElkARBvM57aKEqgv5/dEgMG6MWi1UUReloMoDPfBmNUiBSKaZTjM98EmTbW3okvr6FYX2CP3Qb3vCjCFnhsn983Pp8AtDlbwjZOcoAOsdznKIoigthr8RvPRLpZSRSsPRRhI1LiKvj3sbo9nREi4m4AEKuQZPLcMSATb+4tEgJ/wXdmR5thOixfyDgfQhH37AKRh2CWtfTBXUIWY4UOZsewxaiEpSiKJ2TDJBi3owulzX+Dpq1DLAIe67YqqFtLikyiEzSDbbY43Nt69Eehj0e3ZkZ06VXYzU+6ykC+obW7pmRdQplTdz5DrmRlSY6ATXEpyhKp+SxPmxsL9FEEMKwJ22dgLYgR9sdR8SvLOFoA5Baj826tmH/4t42Q5Y1+0UjbIxBtljJQmJgGmfElLtvTSpBKYrSKWlyZUzbiA2EbIBtfSaKEAS8/8LS9iFs5WCLHpjagQS8/9zsSzvN1+BrpuWTmWWcSoP3WSyxFw65WAymwfM8pueCzY5hS1FDfIqidEqmfhSG/VXMwqsAjuixzb+DgkiPp4DvWZas+p0BA3YB4d50sb3CxjkY9kR02bRKukM6pnFC3LGOvhsB/YUtct9kUE9QiqJ0So42DFs7ENlsAqtDASHPtVsxqi3PkalbLDkBIDIJeB7F1A7EFjtjid0Jea6L9JLaxqgnKEVROichCHr/gW7/jMf+Ckd0w/ScixRdtnZkTWQIj/0ZmrMYSz8EW9uvUzzdSb0vQf3xrR3GZlMJSlGUzksIbONAbOPArR1JHCHXkRK6Fk0uReDgscdhacMJeh9qbF6obC41xKcoirIJfOGH0eXiZisxBDCcnzHsr7ZyZNsPlaAURVE2gXs3XHO7KIPvLFSCUhRF2QQt5xBFt4vsDo5k+6USlKIoyiaw9KOQpMZsc+hO2Lhw6wS0HVJFEoqiKJvA9JwNBPDYExGyDkd0I+S5HKn13NqhbTdUglIUZZs05YuZTHjtB2zTYujIQZx07dEdHoPpuRjTc3FkZYtOUF6+vVEJSlGUbc4nT3zJR4+Oo6EmAMDcyQtZOHUJo+87dusEpJJTUqh3UIqibFMs0+L7d36OJicAx3aY/3MRq+at2YqRKVta0p6ghBAPAycCYWAJcJGUssrluOVALWADlpRyn2TFpCjKtq9mXR21lXVx2xtqAiyftQpOaf38tSvK+fKFb9ENjeMuP4Ku+Z1oZQolRjKH+CYAt0spLSHEQ8DtwK0Jjj1USrkuibEoirKdyMxNJ71LOtXlsQ33UjNT6LtHQavnjnv+Gz56bBxVa6sBmPzBFM6+8xQOPbvzrVShJHGIT0r5tZTSavz1V8B9DXhFUZR2MDwGI8/Yj5T0pkVkhYCBwwfQZ2jiBBWoC/LFcxOjyQmgsmQ9Hz/2JWbYSnje5pg9aT4PnPUE95z4MK/f9R7B+lBS7rO96qgiiYuBdxPsk8DXQggJPC+l7LxrvyvKDurHD6cw7vmJ1K6vJ7NrBqeiaCIhAAAgAElEQVRefyz7HLNHUu/pOA6VJVWkd0nDnxY7KXb0zSfQY6c8vnvzRyzTZvCIQk6/5QSWr1iW8HqLpi5l7fLyuO3rVlWy8o9iBuzZb6MxSSlZPGMZ1eW17HrgQFIyEjf2++6dn3j9rveprYgMR877MVLIcd8Xt6Lr6vV/Wwi5GY2/hBATAbf2j3dIKcc2HnMHsA9wmnS5mRAiX0pZIoTIIzIseK2U8ocN+6urq6PnFBUVbXKsiqJsmkW/LuPduz+joaqpKCGjaxoXPDaagkGb1/01kZlfzuOHN36jZl0d/jQvA/btyym3Ho22GV/spUvKee7Stwi1eIrxpni44d1Lye6R2er5tRX1vHHzh6xduo5wwCSnIJuR5w5nxOl7xRy3euFaKldX8e3LP1NaVBazT/fojL77OPY8esgmf47tSWFhYfTnrKysuFLIzXqCklIe0dp+IcQFwAnA4W7JqfEaJY1/LRNCfAwMB35wO7b5h+mMioqKOn2MLamYO8a2HPO7t38Rk5wg8mU97f05HPL6yC1+3zVL1zLh2cmsL40MxTVUBaheO4/8vvmcd+/oNsXsprCwkE93/oZlv6+I2W6FbepWBdh35LBWr/2Pvz0eUyVYubqKyW9M4bjzj6RrfhcaagI8dM7TLJu9koaagGsytU2b9UtrYmLclv/dSLakPWcKIY4hUhRxkpSyIcExaUKIjA0/A0cBc5MVk6Io7RdqcH9v0lAXTMr9PnlifDQ5bWBbNnO+/yP6e7A+xNinxvPMta8y65u5tHUkqEf/bnHbHNvhu7d/bvU8y7QoXhRfwl5ZUsWE1yL/P/3SLW8x78eF0fJ3x3bijje8BoMP2KVNsSrJfQf1NOADJojIJLZfpZRXCCHygZeklMcB3YGPG/cbwNtSyvFJjElRlHYq2KUn83+JH14fsEffpNwvUUK0TBuA0uVlPDjmKVYvWoOU8NNHU9jjsF25+bUrN3ptM2i6bg8H3LdvIIRA09z/f97ri3yNLpsbv7p5SwP26ssBp+670eOUiKQlKCnlzgm2lwDHNf68FEjum1ZFUTbLufeeztJZy1k+txjHdtANnQF79eX0m09Iyv0OO+cgpo//nUBdbKLqPShSoffKre9QvLDpaSbUEGbmxLlM+XwmXQe3/h5pt1GDmTFhTtzTTcEurb9L0w2d/rv1jiuy6NanK0dccDBAwgTWtVcOPfp1Y8Ce/TjztpNUgUQ7qKWOFEVpVXp2GvePv52Jr/1A0Yyl7HrAQEadfQBWyKJ4YQnd+uTiS/Fu9Dp1VfXUVtaR17dbq1/Sux8yhFFjDuCXsdOoLq/Fl+Klz669uOzf5wBQtrIi7hwzaPLNG5M584HjW43h6EsOYeaEOcz/pYhQIIxu6PTdtRcX/uOsjcZ/1dMXEagPsWJeMaH6INk9shl60CBKFpeSkZPO4BE7s3LeKpqPNmbnZXLXhzfQaxe1gOymUAlKUZSN8vo9HHf54cDhSCl55bb/8eunkQQiNEF2XiZ/uus0Rp21f9y5ZsjkyStepmjaUoJ1QXIKchh90/GtDnVd+vA5nHTt0Uz/ajYFhT3YbdRgGl8F4E91T4YLfltMXaXr6+4ow2NwxwfXM2PCHGZ8PZud9ujLwWftj8e78a/C1MwU7vrwBtatruTVv73LH78sZMKrk/jxg9/Yac++3Pz6ldRU1LFwymIaagLk9OzCCVceoZLTZlAJSlGUdhn33DdMePV7rHDknRA2VKxez4s3v4UvxcuIk5qq4UINIW497P6YIbm6qgZeu/M9Bu63c6vLDOX1yeXYyw6L/u44Dm/e+yFrV8TPZQII1AZ5/OyXOfqiQzjyglF89Pg4aivr2O/4vTjw9OHRITghBMOO2p1hR+2+SZ9/6awVzJw4h1BDOHLfuiDzflzIm/d8yI2vXE5NRS1Va2vouXP3NiU+JTH1d09RlHb57YsZTcmpmWBdkC9f+jaaoKSU/HPMUzHJaYOKkvV8/swELrj/zDbf97+3/Y8Jr06KFku4qV/fwLjnJzLx9cnUrIsshTR9/O/8MnY6t7xxVfQpbHP88N6v0eTU3LLZKwHI7JpBZteMzb6PohKUoiitWDp7JW/c/T6Va6pISfdzyNn7I53EJd3BZoUN838pYvHM5QmP/e6tH1kyazmn33QCexyaeOKqbdlIKfn9u3mtJqdoDPVhgvVNCcQMWcyeNJ+5kxey28GD4o6vKqvm2zd/xPAaHHbuQaRnp7V6fY/P/WtTN1Txw5amEpSiKK5qK+p5+cpXYirXShavYZd9dkp4Tl6f3OjPy35fQbCVuVJ1VQ388dMiFk9/ilvevJq9Dh8as//nT6by6ZNfUVVeQ2qGn6qymk3+LMG6IGOf/JL8AXl0LciJbp/w2g988PBnVKxeD8D4l77j4gfPbnUZpxOvPorfv/sj+oQGkflNex4xNOE5yqZRKV9RFFc/vPFbXFl1Q02QqvI6DJenCF+Klwv+0TRkt9shQ0jv0vrTCEA4aPLiTW9Gf19XXMF9pz3KE5e9yOKZy1lXXMnK+SUx/Z82xaxv5nHlHrdx62H301ATIFAXZOwTX0aTE0DZinW8/fePsF0m2W6w0x59Oev2k+k9OJ+MLml075fLoeccyBl/PXGz4lPiqScoRVFcVa91f2KpLKnECsWv/p2ekxbz7qXP4AL2OGxXfvtsBtZGVguvLo/cq66qnr+PfpzVLu+tAIQGMnHu2CjHdlgyczlPXfESh19wMKXL4gsuylaso3hBCX137cXiGcuY9O4vdOudy5EXHBxdHPboiw/hiPNHsm51JZldM2JWVle2HJWgFEWJY9sOGblpaLrAsWPfOWV0zaCmIr5hoOEx0PTYIoRrnrkIj9fDrG/n4vEalBdXRPoXtKAbOgBjnxyfMDkBCE3j8PMO5LfPZlBbWb8Jnyxi0bSlHHLugSCIi8cyLdKzU3nu+tf5Zew06qsipesTX5vETa9eQU5+F95/6DNKFpeS1S2Ts24/WSWoJFEJSlGUGOuKK3jwT0+zcn5xXHLquXN3rnv+Eh67+AVKl8Wu1L3z3v0wPE1fKbbt8ODZTzN38gLsjRQ3CAF3HvtgzHsdN47lsOKP1YgEqza0lW07LJmxwjVZSkdy/xmPU7xwTUxBSMnitbx481s01ARY+cfq6Pb5vyzitneupc9g1fJuS1MJSlGUGM/+5XWWz4ldV87w6hx2zkH86e7TSM9O44onzuf1u95n3epKvH4PA/bqx1VPXUjxwhLGPvUVwfoQub1y+OOnhRtNTgD11QEW/Lq4TfEVTV26SZ+ruWBtkCmfz3DdZ9sOq+aXuO5bMa+YQG1s4UfZigre/vsn3Pb2NZsdlxJLJShFUaKklKxZujZuuxW2MXxGtAR76MhBPPTdnVSWrMef7ictK5XX736fL56b2JSQXIbPtobUrFQaahpiYrFMm+KFa9ANDdtq8VKrlZidBCX21WXVrtuVzaOq+BRFidF8mK65lvODhBB0LcghLSuVRdOX8fmzE2KflrZQcurSPYvM3PZPfNUMjcH7F/LSgkfY78S9XY+xLQfDo2N4DTK6psd17m1ON3S698t13deWakWl/VSCUhQlSgjBoP12puWCC9365DJqzP5UJ3hH9P6DY3FaPom06YYbP+Ssv53MqDHxa/wlkpqZwt5H787F/xzD3Z/chNfvJaOVybeWaTPkgEIenHgHu40a7HpMVrcMjrnsUO5473p6DsiL2ZfTMztmZfd1xZVM/XIW5aviF7VV2kcN8SmKEuOyR84hHAwz7+eFOKakS/dMvKk+7jnxEaywRbfeOVz68DkM2LNf9JxwMH7pn7YwPDq27SBt98ctj9/g4yfGU1my3nW/m5OvO5rTb4ptBXLMnw/n57HTaKh2n0sVrA/RvV83LnzgLEoWl7J6UWl0X9+hvfjnxDvw+jwA3PXRDbx570dUrK4kvUsao285kcJh/XEch/9c/V9+/3YeVWU1ZOdlstuowVz73CUJW3EorVMJSlGUGB6fh+tf/DNzf59Hfl4BL/31LaZ8PjO6v2ptNU9e/hIPT7oHrz/ypd1vtz7M+3FRu+9lhW28KR5yC7qS3SOTlX+spqEmgBAC3dAIB0zWLi3b+IWaaV5ht0GPft0SDl0C+BvLxLv37caoMQfwwcOfEw5Ekm75ygref/BTzrnndADy+nTjxlcuj7vGly98y08fTYmuU1hVVsPPn0yj/+59OemaowjUBvnu7Z9oqG3g0D8d1OpCuUqESlCKorjypXpJzUxh2e8r4/atWVLGz59M5ZAxBwBw1m0nM/+XIpbOWtHu+4QDJrZlc/vb1+FP91G5popQQ5h7TnyYcKCq3dfr0T8PKSXjX/yGjx8fj3Qk/nQ/NRWJS9g3jDSGgybfvf1TNDkBNNQEmPz+b5x4zVGtLgI7/avZcYvo2qbNjAlz2Hnvfjxz7auUNibbr1+ZxIlXH8WJVx/V7s+3I0nac6cQ4l4hxGohxKzGP8clOO4YIcRCIcRiIcRtyYpHUZT2M8Om6wKtju1Q12yibGpmCvd/eRsXPXAW3ft1c71Wa4uprltdwcr5qyOFF/ldqFtfR8269q+9l9s3hxOuPpIHznqCl2/9H5Vrqli/tpo1S9a2WrSxaNoyKlZXUlJUynqX4cR1qytZ+NuSVu+daKV0IeDVO96NJieAyjVVfPHcxFaTppL8IonHpJR7Nv4Z13KnEEIH/gMcCwwBzhZCJF7WWFGUDpXRJZ1ufbrGbe9a0IWDRg+P2eb1ezj+yiPxNL6rcZWgKCIzJ4NuvZvu02tgPl175bgfnMCgETtzwaOnU7xgDbO/+6Nd5wZqAyz9fSVdemaT6lJQkZadSvf+7ol3gwNP2zc65LmBN8XD7ocMYV1xZdzx64ormfLFzLjtSpOt/eZuOLBYSrlUShkG/gecvJVjUpQdiuM4fPToOO4+/l/cffy/+PixcThOU0Xe5Y+eS6+BPaNt2rsW5HDCVUeSnZflfj3bfWKubTmuTzFCEwwasTM5PbOj21IzUxg5ej9SM1Pa9BkGDOvP/V/eRm7vHH4ZOy1+btNGpGT46TOkgKzcDAYNH4DQYjPpgD370WdwQavXWLWwBN2jN34o8Kf7OPy8kRxxwUjXpG14DbLzMtsV544m2e+grhFCnA9MA26SUrZ8di4Amk9ZLwb2S3JMiqI08/RVr/DzR1OjQ3mLpi6heNEajrnxYAD67tqbh3+4h98+m05tRR0HnLovWd0Sf7H2GpRPyeL4yb4t6R6dPkMK2PWgQZx7z2lx+8++41R2PXAgX786CTMQJrd3LuvXVvH7t/NiGgamZady1AUHR39v/iTWUs+du1O6tCyup9XuhwyJDk1e98KlZPfIZsHPi3CkZKc9+nLJQ2e3+ll+/PA3Jvx3EsH6xn5YMlIAktcnl4wu6QzYsw8Vq2Ofogp26cFeR+7O0qWtDx3uyISUmz6bTggxEejhsusO4FdgHZH/Z/o70FNKeXGL888AjpZSXtr4+3nAcCnltRuOqa6ujgZYVFS0ybEqihKvZl0dT1/wGrXlsYu/ZnZL55rXLiAjNz3m2LqKevJ2ysXY8KTgor4qwOs3fUDp4nLCATPhcf4MH9e+fiE5Bdmu+6d+Opvpn84mHAiT1SOTE244gq69silfUcEXj39H9doafGle9jlxd/Y5KdK+vaK4ilevf491K+PfI6Vk+vnL2xcRqAny6o0fUlNWCxK8aR66FnQhvWsaqZl+Dr34APL6JU5ybl69/n0W/hy/BNNOw/pw2bNnEw6Eef++caxeUIpjOXTt1YVT7ziG3F47diVfYWFh9OesrKy4AeDNeoKSUh7RluOEEC8Cn7vsKgZ6N/u9F+C+CBaxH6YzKioq6vQxtqRi7hidNeY/yhdRX9EQt72uooGK4ir23n8vQoEwj1/6AkXTlxGoDZDbK4cTrjqKI5s9tbS0x6TdWDhlCT9/MpUvX/zWdZ5TbkEORZNWMHPCF4QawnTr3ZWL/3U2vQfm8/V/v2f8U5NoqI7EtqaonNrSeh6Y8DcKCws54IgRrvd9/aYHXZNTbq8cHpjwN3J6ZFOyuBRNiuhTVKguTMnCpie+VbPXcM1zl7DbyPjuu4mkpKa6bvf7/NF/7rt+sCtm2MKxbHypTStWdNZ/N1rTUTEns4qvZ7NfTwXmuhw2FSgUQvQXQniBMcCnyYpJUZRYvQflk5Mf/wSTk59Nt8aniJdueYup42ZRtbaaUEOY1YtKefefY+NWM29OCEHhsP7M/WGBa3JKzUwht1dXvnh2IivmFVO6rIw5P8zn4fOeIVAb5Nu3foompw1WF5Xy+TMTWv08VaXulX8D9upHTo/I5/zkyfGsX5t47byKkvW8/1D7vob2P2kYnhYFErqhs/uhQ3AchylfzOTpq19h3HMT2YxBqx1OMosk/iWEmCOEmA0cCtwAIITIF0KMA5BSWsA1wFfAfOA9KeW8JMakKEozGTnp7HvcXvhSvNFtvhQvw4/fi7TsSIHC4unL4s6rWlvNg2c/Rcni0rh9G0z9cpbrpFnDq3PTa1dSWbIes0Xjw5KiUr565bu4FcM3GP/Sd/xlvzu5+4R/MWfygrj93lSvy1nQpUdTEm7+/iqR9raXP+zcgxh15v7RQo/svExGnDyMk687hgfHPMXjl73A92//zJv3fsDth/9DLYPURkkrkpBSnpdgewlwXLPfxwFxJeiKonSMix8cwy779ueH935DCBh5xggOOn04ixdH2l8kWsG7eOEa7j7+X5x956kcft7IuP2fPv2163ken4e8Pl2bCgpaKF1WTpceWaxeFN+4sLayjtrKOlYvKuXpK17m7k9upKCwabBm31P2YN2KymiTQQCP38PyOSsZ++R4Trj6KA4950CmfzWbYJ17EgRIz3YfsktECMEVT5zP+tIqlv9RTK/CnnTr3ZXv3/mZ2ZP+iE7glTJS7ffKbe9w61uqPcfGqJUkFGUHJ4Rg5OgRjBzt/l6n79BerskCIk8anz8zgVFj9o9bSijRJFSPz6BH/zxye+VQtmJdzL6UDD+jzhqBN8XLvy98Lm5/cxUl6/nwkS+47vlLo9uGHT+U3Jxcvn1jMiVL19JQ1YAZNFnw62KKpi1jyczl3PDK5Rx85gh++2w61eW1CEHMsFtGTjpHX3IoAEtnLeet+z5mfVk1aZkpHHf54ex/8j4JY+rSIzvmaW3aV7/HrS4BtPq5lCYqQSmK0qrLHz2P6rIaiqYtJRyMr8qrKFlP6dIyeg3Mj9meaIHU3Q8ZghCCCx8Yw2MXPx9Z5YHIeni9B+Xz3Ts/M3jEzux77B5M/3oOnhQvwZqA67BY3fr4tu9HnD+SkaOHc9PI/4tZ7cK2bOZOXsCaJWv587/P5eTrjmbGV3PIystg6rhZlC4rw5/u57g/H86+x+7JuuJKHmmRJIsXRXpIDT/evX3HBlJKFs9YlrBZoy/BUKQSSyUoRVFalZaVyv99dguTP/iNZ697Na50PDUzhawWE07n/bSI2srY0nWALj2yOOfuyKKrO+3ehwe/uYNxz0+kZEkZS2YsZ/GM5SyaupRv3/gxeo7QBGlZ7kNuuwzfyXX7uuJK1/bxNRV1LJ6xnPyde9C9bzeO/fNhABxwyr5xx37wyOdxTzq1FXWMe/7bVhNU6fIyHr3weYoXrcEMmXFNEVPS/Yw8w/1pVYm1tVeSUBRlG3HQ6cMZsFf/mG1CQO9BBTHNDKvKqnn6qleorYhNUBk5aYz52ykxE2nTslI5468n4UvxUrK4FMeOXwFCOpK69fVk5WZE+1Tphs6gETtz4tVHu8batSCHzK7pcdszuqYzYK++bfq8iQolAq28uwJ4+spXWPr7CsKBMNKR2JYTee/WL5ed9ujDGbeeyLGXHdamGHZ06glqG7CwYh1fLF1MfnoGJxcOJMVQ/9iUjieE4La3r+HFm99i/i+LqC6vxTYtFvxWxJ3HPMjNr19Fl+5ZfPafrylfGf+OpWvPLq7FFACrFiSc/hjVd7c+7HbwQFbMK2boQYM45E8HJGyh4U/zMeKkYXz54neEGiLFGLqhMfSggTFFFRuEgyZmyCQtKxXLtFg+ZxU9+rt3z80tSDy5trq8htJl5XHbzZDJmbeeFF39XWkb9U3Xyf3jl5/4evkSasJhBPDewj945JAj2Cl7x56BrmwdaVmpXPbIOdwy6j6scKREPFAbZOGUJTx1xcvc/fGNrF/r/uQRDluu2wF8Ka0sMNuoS14mp17v2hQhhmVarJhXzJEXjaJgl55888ZkAIYdvTsnXXtMzLFmyOSZa19l0dSlmCETX6oP27JZv7YKTcQPMKVk+Dn//jMT3ltownVVc6GJ6FqGStupBNWJzVtXzlfLllBrRuZtSGBZdTUP/fYLzx+98f9QFSUZJv3vF9cqtJLFpQRqg4wasz9TvpgZV8bdI0Ebjulfz6Z8VQVCCBItvZZbkMPptxzfalz11Q3MGDeX/7zzOmUrKjC8kW69uq7hTfEy+/v5HHHBwWR0aRr6e/YvrzP5/d829pGjdEOP6RXVUmbXDPILu7O+NLaPVY/+eQw/ofXCCiWeSlCd2KeLF0WTU3Or62qRUibsP6MoydRype8oCQjYfdRgRpy4N1PHzaK+ugFN1+i1S08u/fc5caesXVHOCze8QUWLHkwZOWlk5WaiGRpZ3TIZ87dTyB/gtuwnLJuzkpdufou1K8qpLq+NLmEUbpYfG2oCkU7Af36JO96/Hog8aS2a0r6FWuvW1zPj6zn0HpR4ZfO/PH8pj178PMUL12CFLfL65nLRP8fETIZW2kYlqE6se2p8XxoAn6Gr5KRsNQefOYLP/vN13FNUwcCepDS2Tr/mmYtZMms5P304hfydezBqzP6uLSc+fuzLuOQE0GOnPP454Y5W46hdX8enT37F+JcTrzzR0qoFJTTUBEjNTMG2HMxWhh3d+FK89B3aq9Vjcnp24f4vb2PNkrWEGsL02bUgYcm90jqVoDqxMwYNYeziRaysbRrTN4RgRM/W+9IoSjKlZaVywf1n8s79H1O6rBxfqpfeg/K57rlLYo4bsGc/BuzZr9Vr1VXFz2MCXOdbNbdi3ioevuBZSpckXg/QjWM72I39qnwpXvL65sa1wWhNv916s8ehu7bp2J4DurcrNiWeSlCdWIbXyz8PPpRHpv7Kmvp6UgydET0LuHEf1TJL2br2O2Fvhh29O0t/X0laZgoFu8RXxrXF/icNY/pXszFbJKT8jXy5v3rHe+1OTgDd+3eLeQf153+fw78vfI6SxWtxbIeUTD+6rtNQG8CX6iM1w09mbgZI6DOkgIsfPFuNXnQglaA6Oa+u8+c99mZI11wyvF71H4fSaRgeg132cZ8o21b7n7IPv46dzqzv5hGoDaIbOr0H53PJv/7U6nluLdRb8vg9ICVmyMLjN+hV2JOrn74o5pjegwp4eNLd/PjRFNavqWLkGSPIzstk8YzlpGWl0ntwvvpvbitSCaqTqg4FufHbiSxaX0G9adIrI5NzhgzlrEFDtnZoirLFaJrGja9ewYJfFzNl3Ez6DClg5Oj9Es5v2qC1pYLyd+7O8VcfxcB9diKvby5zvv+DtOw0hhy4i+u7II/Pw6FnHxizbfD+21Z/pu2VSlCd1L0//cCMsqZWBqtqa3h59ixG9e5Dj7T4GfKboiYUos5qfax/S5NSEnZsvJoq9FAihBAM3r+wTUmhdHkZL9zwZmRdPkGkcrBRek46h148gjE3nhZTMbfficOSELXSEVSCAsrq63h65nRK6+vI8adw5Z570zfLvQ11R5BSsqSqKm57eaCB/83/g+v3Gb5Z1y+rr+fOH79nRU01lmmx88rl/P2gUeSluVcNbinvL/yDDxctpCoUJNvn54xdBnP6wLZ3LVV2bJZp8a9z/hPXYyolw0/hPjtx0QNnEdQbVDn3dmS7T1Cra2t4eMqvrKmvI8UwOGFAIaMHDo7uXxdo4M9ff8mKmqYOm3PWlfHU4Ud3ytUa9ERzUNpISsktk75hdnnTC+YppSXcMukbXjvupM0NL6HJxSv5z4xpVIcj87rW1tfz5Iyp9ExP54CC1st2FQXgt89msLoovkFiZm4Gt751Db4UL0VFRVshMiVZtuvi/HozzLXffM2k4pUsWl/J7+VlPD59Cm/Pb+o+/+zMGTHJCaCkro7/zJzW0eFGCSEYlNM1bnteahpjBrWtxDWRpVVVLK2Kn3eytGo9S9bHb99S3l3wRzQ5bVATDvHOfNVAWWmb8lUVru0rQg3h6Hp7yvYlaQlKCPGuEGJW45/lQohZCY5b3tgafpYQYotmhf/Nn8ey6tihsnrT5Isli6O/r6l3b6pWGWjbxL9kufuAkeyfX0CO349P1+mflc21ew+jW2r7On22VG+ZBKz4yYkh26a+ne+jTMfBtN373bhd3317+yZKKjuuA08dTnaLth4QWQYpI2fLvJdVOpdktnw/a8PPQoh/A9WtHH6olHKLt5hcWu1+y/pmywd1T1BwkJPi39LhRK2oruadBfPwaBp/GjyUnunxMaR7vTxz5LGU1NWyPhhkly45eHR9s++9ZH2l63pn+ekZDO7qvnpzS7XhMPf+NImFlZVIJP0ys7nvoIPpmpI4eQ7N7ca00viurLt1y2t78MoOrVufrhz6pwOZ+PrkaK+p7v26cd7/jVYFN9uppL+DEpF/c84EOrwByqhefZiwfCmmE9tjpltKUzHAVXsOY+qaElbXNT1J5aelc9Veids6b4435s3h1bm/UxmMPKF9tXwpV++5DycX7uJ6fH56BvnpGVvs/p8sXkR8xx0YkJ3Nq3N+Z966cnJTUrlsj73onqBo4q/fT+TXNU3tEUrq6rjh2wm8dtxJcV8Upm1THmjgwqG7M6e8jLnrygnZNn5dZ9fcPP68x15b7LMp279z7jmdg88awcTXJpPVLYOjLj4kpheVsn3piCKJkUa/PuwAABxYSURBVMBaKWWit5cS+FoIIYHnpZQvbKkbH973/9u78/C4y3Lh4997tkz2tdnTNmmbpWkpdKO00FrKWlGRt3rKEUQ8nEu5FEFFBbk4oscNNxT1FT2Iy4vKAbRUqUCBstuNrumSNkuXNHvS7Ntsz/vHTNJJ5jeTSZN00vb5XFeuZn7zW55J0rnneX73cz8zeaEyix31dbh9vYbs2Dg+v9AbfNweDz95f/tQj8pqMpEZE8vP1lxH/iQkSHQ7HPxv+aGh4ATQ3NvLHw7sY23BrFF7SEopNlYe5fUTxzEJ3Dy7iNUzZo65DUZ2NdSz5eSJocdb60/xkw9cS1Hq8Hth+5sa2dUYeKO6qr2NQ60tlKadqVj91P59vFh9lLb+ARKibKyZPpPb5s5nT1MDizKyuCo3T3/y1cYsrziHO7+3PtLN0M4BCVbePqyDRV4DjEoMP6SU2ujb51dApVLqx0HOka2UqhORdOBV4B6l1NuDz3d0dAw18GwydNxK8VZTA3vaTpNss3FzznRSoqIAeK7mOH+tOTGsR2EzmfhMQSFXpU98Ha29baf57uGygO02k4lvzbuUglF6Sr+qPMK7zY04fb8zu8nM2qwc1s/ID3kcgMPj4c2mBjacOkHriCA1YjrJkEuTkvn63EuGHve4XHxt3y6aBozvzz1YPI/LfMkdu0638POKcnr97j1FmUzcmT+bqzPOriyOpmkXljlzzsx9S0xMDPi0Oq4elFLqmlDPi4gFuAUIOlNOKVXn+7dJRDYAS4G3jfb1fzFjUVxoPHxWWVUeMNzl8HjY3dfNp+dcOebrVFRUhGyjtJ0mrrKcbufwZIQ4WxSXFhYFHVIDb1p22Z4dQ8EJoN/jZmdnG1+euZoY6/BK0V2OAV6qrsIswiXTMvjGO29wvL0NN8MDkglvzb+RGXYAvSLDXs8vd78fNDjlxSfwoYWLiPa14+evVw8LTgADHg+7e7r5zFn+HgeN9nOeinSbzw3d5nPjXLV5sof4rgHKlVKnjJ4UkVjApJTq8n1/HfCtSW7TmetjPLxkCrJ9vGYnp1CQlDxsDhJAUpQtZHAC7+KFLX19AdtPdXXxxN7d3Ld4KSbfcNkrx6r5+e4d1HZ7byTbzWb6/YLFYHCKtlhItljochvdlfIGLn8j0/EHmUW4o/SSoeAE4PIYn9OljLdrmqaNNNnzoNYDf/HfICLZIvJP38MM4F0R2QfsADYppV6e5DYNWZGTi3VEba5oi4UPzZ68TwZx1sA1cTocDup9wSSYsuYmw1+WAv7foTLu3vwS4E3b/sXunUPBCRgWnPz1uVzU9fcbLoqYHGXn1pLhc64WZmRidJfskmnpARUhVuTkYR5xf0mAyyZh6FTTtAvTpAYopdSnlFJPjNhWp5Ra6/u+Wim1wPdVqpT6zmS2Z6RPzVvAjQWzyYiJxWoykR0Xx7rCEq6dOb4KzcF4lBq2ttOg1r4+nj1yKOhxP9+9gz8e3G+YfTdoR0Mdv967i72NjZzqNp7bFa4Em41vrLiKNSPubd08p4iStGnD+pdZsbF8aUng8h/ri+eyevpMEm3e+31xVhsrcvL4zAK97LWmaeG54EsdhWIS4ZsrVnK6v4/ari5mJiYS73tDnQxC8GHFkT058Gbtrf/HBo62hbeg2oaKoyTaxj9/a05yCqvyZgw97nU6eapsL68dPzaUjm8SITkqiu9ddTXz0gLnMplNJn74gTVUtp1md1MD81KnMdcvw0/TNG00F3WAGpRijybFHj3p12kfGBi6T+TPLBLQWwF4pvxg2MEJoN/lwh3iHo/dZGbA4zbM2BskwAK/YbiH33mDzceP4RhxT0kpRWt/Pz96fxt/NJj/NGh2cgqzk1PCfg2apmmDLuhafFNJeWsLd2zaaJho4FaK/9m3J2D738eYVm8S4d3ak0GfXzV9Bldkh14ufll2Dp9dsBC3x8MtLzzHi9VVAcHJ37GOdirGEEQ1TdPCddH3oDYfq+a5o4fpc7nIjYvn/qXLSAtRsudsPfb+DmpC3BsavG+klOLx3Tt551QNJzsCl9wIpXOgn231geWEwJvJ97GiEnbU1/KvulrDfRJtNn68+lqsZjPf2/oux4KUivI34HYb1vbTNE0br4s6QG2sOMpju7bTMeCthHywpZmKttM8tGwF0xMTJzRQNfb2hHze4hsi+8Xu9/nzoQMhey3BBCvbGmuxsq6omEWZWbiUh6iDZYbFW/PiE4i2WFBK8V6d4cyAANPjE/S9JU3TJsVFHaCeP3p4KDgNqu5o565XNhFntZEeG8v3V64e9z0Ut8djWKDV38nODh557232NjacVXBKsNnoDFLGaGFGJvct9mbaLc3MZsG0dHaMKNwab7Vxz8IlALiUCjqPyV9uXDz3LlpimOChaZo2Xhd1gApWl04BXU4HXe0ObntxIzcXFvHA5cvP6hrH2tt54O0tnDJIL/fX5XSysfLomM+fYLOxrrCEXpeTZ8qNU9Vz4+P5XdleOh0O1hWW8Pg11/PEnl28V1tLc08X89Iz+K/lK4eW8rCaTGTFxtPY2xtwLqsI/1ZcSmFKCtfMyB82OVfTNG0iXdQBKjU6muNBqiMMGvC42VRVyY35s4Zlt3mUosfpJM5qDVnw9Jtb3x5TJt5YrcqbTmV7G52OAaJNZvo8w4fuUu3RvFVzkroe78Tdf1QeZX1xKfcuvpx7FwcvWbKuqJi9zY0B2xdnZ/Plpcsm58Vomqb5uajHZu5esJCMMBYA7HY62HD0yNDjp/bv4+N//xvrXnie9f/YwIaj5YbHne7ro7ZzfJNmQ4mxWHjr5AnePnWSvU2N9Hnc2E1mzCKYgESrDbfHPRScAFr7+3nuaDmtfYG9o0GdAwP8dNcOw+eq2tr5y+EDk7r6rqZpGlzkAWpRVja/uf6DTAsjGSLZ7p0A+2JlBU+V7aWqvY2mvl6Otp3m8d072WOwBIXFZMI8Sfdn7BYLUWYLnSMKz/Z73LiVwgN0OB20GwxjNvX28MbJ40HP/V/vvmVY9w+gubeHH+zYxl2vvMgDb23BM45q+JqmaaFc1AEKYHpCIl9ftoJ4qy3oPtmxcdxWOg+Av1cdDVgavX1ggKcPHQg4LiEqioKkpJDXt4yhMG12bBy3zCni+pkF/GDl1cTbzu7+jxlIjzFeSdjpdlPZHrx3NBiO2gcG2HLyOBsrjgTdV9M0bTwu6ntQgz4wfQafuXQhL1Qcoa2vjz63C4vJRJTZQnpMLJ9fuGhoOXNnkMKr/UHmAn33qtU88PYW9jY1GqZ2u1DkxcVTkJTMO7U1IXskqdHRPLz8qqHHvy3by8musQ8hpsXEsCInd+jx80cO82JVBX0uF9lxcTg9wRLWh3N6PGypOcFHC4tH31nTNG2MdIDy+cTcedxaUkqP00ms1YpbKfpdroAkiKKUVPaOWC4DvPXrjCTZ7Txx3Vq+uOVV3qw5YbhPTXcXxalpPHX9B3l0xzZOdLbTaxDwRg4XfrJ0Pt/d9h6t/cZrNBmxiPCt5auGzrWprobna2vo8Q0VHm07TbQl/D8Li5hwejw61VzTtAmn31X8mESIt9kwiWA1mYi32QIy9FblzTBcL+pwa0vIc68rKsYeYkn3spYm4mxR/OclC8iKjQu4gs1sZlXu9GHblmXncklaBvE2W1gBwiIm1szIZ2nOmXJH7zQ3DQWnQX0uF5mxsYZ1A/2ZRShrbuLmvz3Lva+/QvsYAqWmadpodA9qjDYfr8ZjUG61rif0UNvy7FyWZecG7UU19PRw+6aNOD1uXCOG+dKio7lmRj53zDuz/LpHKT736suGqeD+5qamkmqPwa0UV+bk8m8j1ngy6qkBLErPZElWDj/ZuY1Ov/WiLCYTsRYrA24X/W43rf3eZIq6nm7uf/M1nrzhppDt0TRNC5cOUGOUGWecXBDty6j76fvbqe3uZmFGBusKSzCJ8Ez5IV4/cYy67m7MBC9J1Oc2Dhb5CYmsyMll8/FqrsqdTozVyj+rKwNW5gXvEJ5LKWKtVuYkp/DY6mtJsgdfgiPZFkXDiGXco0xm0mJi2Hyimtz4BHpcDqJMFkTgE3NLSY+J5StvbQlYCLGi7TQnOjqYkZgIeNPV36w5QUJUFFfm5GHRw4Capo2BDlBjdGtxKZuqKqnxqwxhNZmYNy2dh8v2UO/rUbxx4hivHj9GYlQUb9ecDLnY4Gj2Njawq7EBD2A3mZiVnEL56VbDnlyS3c4Dly/H4XLxXl0tj+74F+sKS1iUmWV47vXTZ/LE8SrqfXOlzCJkxMby16PldPsN/ZlFcCvF97ZvZXpCAj0G6eu9LhftA/3MIJHnjhzm92X7qOvpxmoyMSMhkUdXXU1BUvI4fhKapl1Mxv2RVkQ+JiIHRcQjIotHPPegiFSKyBERuT7I8fkisl1EKkTkf0UkeL73FJAQFcX3V65mUUYm2bFxzEpK4tbiUlr7+oaCE3h7SXuaGtlaV2sYnMzArMTQKeiDnDB0jn6Ph4OtLbiDZPul2WOo7+7mBzu3sam6kpePVXPfls08vmun4f4liUk8deNNrCssYc30mTy4bAVmk2lYcAKGrtfncnHk9GliDEoc5cbFU5KaRlt/P0/5ghN4s/0q29v4763vhvV6NU3TYGJ6UAeAW4Bf+28UkbnAeqAUyAZeE5FCpdTIEa5HgceUUs+IyBPAfwC/moB2TZq5adN48oab8Cg1lEhw6z82GO5rlFoO3gB2bX4+zuoqTnaGrtMXLpvZzP8pKuHpQ/tp9yuC2+108tKxSm4vnT804dhfZmwcD12xAoCWvl7+7573R71Wst1OnNVGg69Ke2ZsLJ+et4CXjlXxfPlhGvyqVwyq7eqiY6CfxKjxr/qradqFb9wBSil1GDCqR/cR4Bml1ABwTEQqgaXA1sEdxHvQ1cC/+zb9AXiEKR6gBvlnuRn1KMCbVGBUGdwmJkpS0ihNTeex97dT09WJR6mgPaNw3DyrkPnTphkWeW3o6WF/c+OwpdyNJEbZSYyyc3qUjLxpMbH8cNUa/nq0HJPADfmzePCdNzjc0ooryKq+FpNJ34fSNC1sk3kPKgfY5vf4lG+bv1SgXSnlCrFPxDT0dLOpqpLU6GhuLJhFlDn4j+vjRXOpaG2hyy8rLjs2jszYOHY3BZZBKkxN5crc6ZhEWJadw6HWFrocA3z7X+/QYBBgRpOfmMS9i5fS73KRYLMFTBxOsNnIjUsY9TxWk4mbCmbzuwP7Aob5BlnEREFCIkl2O/+54DIAfrxzG2XNzSHPXZicQmyIih2apmn+wgpQIvIakGnw1ENKqY3BDjPYNrJ7EM4+QyrGuAT6eDxfc5xXG+ppczowAU/u2cV9hSXMiDXO4isA7syfzeaGOnrdLpJtUdw2o4Cs6BieMVvY2tpEr8tFjMVCUXwid+XPoaqycuj4aN/XPQWFPH3iGJXdnTjD7E3l2WP4YsEcao8fB2B2dCzNvb3DfpD50bF4WlqoaAmcrzXy53pVdCyW/NlsaWrA5VHYTCZaBvpp7O/HqTy4lIcXKo6wp76WB0vmk2C1seeU8QKHZhESrVZmxsRxZ3behP0Oz+XfwkTRbT43dJvPjYlos9FKCv7CClBKqWvO4tqngDy/x7lA3Yh9WoAkEbH4elFG+wwZ7cVMlPrubl7fvYM23/wfD1Db18uf6k/xuxs/FPLYO5dfGbDtv4uKwr72HOCg28nhwwdH3dcswgcLZvPNK1cN2/61jHQeeGsLzX29JEXZmT8tna8svcKwQkSw5TbmzJnDJ/0e76yv474tm3G4vMN3LqCqu5u/NNbzo9XXkHKyGjoDl6hflJHJo6vWhEx1H6tgbZ7KdJvPDd3mc+NctXkyh/j+DvxZRH6CN0liDjBsDQellBKRN4B1wDPAHUCwHtk582JVxdAEVH913d30Op1B7zdNlKoQxVoHLczI5I7SS1iZN7y6xNMHy/jDwf1D1citJhPLsnJ45vAB3j7lrfU3L20aX1i0JOSQ5UgbK48YTuo91uENSreXzudASzNtfveuku127lpw2YQGJ03TLh7jDlAi8lHg58A0YJOI7FVKXa+UOigizwKH8H7g/txgBp+I/BO4SylVB3wNeEZEvg3sAX473jaNV4rdjgkC0sNtJtOk1Jyr6+7i92X76XIOsDZ/NrGW0AEw2mLhN9etDajN1+Vw8Jfyg8OWyqjv6eG7296l1+XC6UvW2N/cxPGODn557Q1htzEuyL0jq69805LMbL6yZBl/PnyQ9v5+kux2/r2klCWZ2WFfQ9M0zd9EZPFtAAxzrJVS3wG+Y7B9rd/31Xiz+6aMtbPm8PShAwGr7c6flj70hjxR3q45wXe3/YtGX7r2WzUnWZyRxbToGJoNFhUU4NbiuYbrTO2sr6OuOzC9u9PhCLixV9bcRHlrC+G+mjvmLeCNmhM0+SVwWES4POtMALqxYDY3FswO84yapmmh6UoSBqItFr63cjXf3/4v6nu6sZnNzE9L5xsrrhr94DFQSvHrfXuGghN4J8Lua27kc5ctZvPxapp6emgb6EcpRbwtinsXLeWGglln9nc62VBxhIaebgqTU4m2WOgLUl/PX5fTQUXbaYrDXI8qKy6Ory69gif376W5t5doq4Wlmdl8YeGSsb9wTdO0MOgAFURxahq/X/thuhwObGbTmO7XhKvH6aTFIKW80+Ggpa9v1MKrFW2n+eqbr3OiswMFxFtthgHKbrYE1PlLtdtZlJlFT31gCnwwa2bkc/X0mbT29xFntWEfw7IcmqZpY6XfYUYRb5u8eTt2i8WbcDEiH8NqMjFrlJV4AX6wfeuwYcgup4M4rFyWnkFTby8mEeamplGQlMSfDh2g01c/L8pk5src6WTHxVNB+AEKvBOy03yLN2qapk0mHaAiyGIycWVuHnXlXTj8qk3MSkpmzYz8kMd6lKKuO3CJj26nk+LUNJ68YRnCmQofl6Zn8mz5IZweN9fNLGCtvlekadoUpwNUhH1p8eXEWKy8W1uDw+1mRkIiDy5bPmpJIAGiggyxZcQELja4NCubpVk6o07TtPOHDlARJiLcfdki7r5s0ZiPuzwrm5OdHcPq902PT2BdUfFEN3MYh9vtrSTR1EhxSgofLy4d0zLxmqZp4dDvKuex+5csQwE76mvpd7nJiovlK0uuGFe9u/LWFo60tbI4I5uc+PiA53udTj67+SUOtTThBl45VsVL1VX86rq1hpXSNU3TzpYOUOcxs8nEA5cvR/mqoI+nUrjD7eZLb7zK/qYmupwOUux2rszJ45EVK4dVqn9y/17KWs6s5KuAI22neXzXDr6xYuV4Xo6madoweu2DC4CIjHsZi8d37eC92lN0+eoPnu7v5+VjVWyqqhy2X/npwGKzQMCkZk3TtPHSPajzWI/Twbe3vsuR1lYAilLTePiKK8+qVmBZS+BSGQ6Ph1dPVHPT7DNFIYOVPIoZpTyTpmnaWOkAdR67/43X2FZ/pvj7sc4OOgcGxlRjb5A5cMFJACym4cWQ/uOSS9nb1DisDFOy3c7tpfPHfE1N07RQ9BDfeepEZweHfT0nf4dbW6jtCpwfNZpVeTOwjagzGG+z8fGikmHbilJSeWTFShamZzIzIZEF09J5YOlylmVPmXUmNU27QOge1Hmqta+PLsdAwPYup4OWvl7DDLxQPlk6n4aebt49VUOnY4AUezQfmVPI5QaBZ3lOLstzcs+67ZqmaeHQAeo8VZKSSk58AjVdncO258TFUZSSOubziQhfu3w59yx00tzXS1ZsXECPStM07VzSQ3znqWirlVtLSknxm3uUao/m1pJ54yriGmO1MiMhUQcnTdMiTvegzmO3lpSyPDuXPx8+gIjwiZJS8hISI90sTdO0CaED1HluRmIiDy5bEelmaJqmTTg9xKdpmqZNSeMKUCLyMRE5KCIeEVnst/1aEdklImW+f68OcvwjIlIrInt9X2uN9tM0TdMuPuMd4jsA3AL8esT2FuBDSqk6EZkHvAIEmyjzmFLqR+Nsh6ZpmnaBGVeAUkodBoYVE/Vt3+P38CBgF5EopVTgxB1N0zRNMyDKby2hsz6JyJvA/Uqp9w2eWwd8Vil1jcFzjwCfAjqB94EvK6Xa/Pfp6OgYfwM1TdO0KS0xMTGg3tqo96BE5DUROWDw9ZEwji0FHgU+E2SXXwGzgEuBeuDHo51T0zRNuziMOsRn1PMJh4jkAhuATyqlqoKcu9Fv//8BXjyba2mapmkXnkmZByUiScAm4EGl1Hsh9stSStX7Hn4Ub9LFMEbdPk3TNO3CN94084+KyCngCmCTiLzie+rzwGzgYb8U8nTfMU/6paT/wJeKvh9YDXxxPO3RNE3TLhwTkiShDSci9+AN0i5gk1LqqxFuUlhE5H7gh8A0pZTx0rlThIj8EPgQ4ACqgDuVUu2RbVUgEbkB+BlgBp5USn0/wk0KSUTygD8CmYAH+I1S6meRbVV4RMSMN9mqVil1U6TbMxrfSNOTwDxAAZ9WSm2NbKtCE5EvAnfhbW8Z3v93/ZN1PV1JYoKJyGrgI8AlSqlS4LyY4+V7Y7oWOBnptoTpVWCeUuoS4CjwYITbE8D3hvlL4EZgLnCriMyNbKtG5cKbTVsCLAM+dx60edC9wOFIN2IMfga8rJQqBhYwxdsuIjnAF4DFSql5eD90rZ/Ma+oANfHuBr4/OOdLKdUU4faE6zHgq3g/GU15SqnNSimX7+E2YCouULUUqFRKVSulHMAzeD+8TFlKqXql1G7f91143zSn/GqUvqSsD+LtkUx5IpIArAR+C6CUckzFEQADFiBaRCxADFA3yv7jogPUxCsErhKR7SLylogsiXSDRiMiH8Y7LLIv0m05S58GXop0IwzkADV+j09xHrzZDxKRmcBlwPbItiQsP8X7AcsT6YaEqQBoBn4nInt89+ZjI92oUJRStXhHhE7inRbUoZTaPJnX1NXMz4KIvIZ3jH6kh/D+TJPxDo8sAZ4VkQIV4Zt9o7T568B157ZFowvVZqXURt8+D+EdlvrTuWxbmIwyUM+LHqqIxAF/Be5TSnWOtn8kichNQJNSapeIfCDS7QmTBVgI3KOU2i4iPwMeAB6ObLOCE5FkvCMA+UA78JyI3KaUenqyrqkD1FkINTdMRO4G/uYLSDtExAOk4f20FDHB2iwi8/H+we3zlazKBXaLyFKlVMM5bGKA0ebgicgdwE3Amkh/AAjiFJDn9ziXSR4SmQgiYsUbnP6klPpbpNsThhXAh33Fpu1Agog8rZS6LcLtCuUUcEopNdg7fR5vgJrKrgGOKaWaAUTkb8ByYNIClB7im3gvAFcDiEghYMNbPHdKUkqVKaXSlVIzlVIz8f7HWRjp4DQaX3bc14APK6V6I92eIHYCc0QkX0RseG8o/z3CbQpJvJ9SfgscVkr9JNLtCYdS6kGlVK7v73c9sGWKByd8/79qRKTIt2kNcCiCTQrHSWCZiMT4/k7WMMmJHboHNfGeAp4SkQN4U6DvmKKf7s93vwCigFd9Pb9tSqnPRrZJwymlXCLyebzV/M3AU0qpgxFu1mhWALcDZSKy17ft60qpf0awTReqe4A/+T68VAN3Rrg9IfmGIp8HduMdVt8D/GYyr6nnQWmapmlTkh7i0zRN06YkHaA0TdO0KUkHKE3TNG1K0gFK0zRNm5J0gNI0TdOmJB2gNE3TtClJByhN0zRtStIBStM0TZuS/j8QR+T6P4VjFQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_new= [5,7]\n",
    "plt.scatter(X[:,0], X[:,1], c=y)\n",
    "plt.scatter(X_new[0],X_new[1],c='red')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(2, 5)]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from math import sqrt\n",
    "from collections import Counter\n",
    "\n",
    "dists={}\n",
    "\n",
    "for i in range(300):\n",
    "    point= X[i]\n",
    "    eucl_dist= sqrt( (point[0]-X_new[0])**2 + (point[1]-X_new[1])**2)\n",
    "    dists[eucl_dist]=y[i]\n",
    "\n",
    "knn =[]\n",
    "k =0\n",
    "\n",
    "for key in sorted(dists):\n",
    "    if k<5 :\n",
    "        knn.append(dists[key])\n",
    "        k+=1\n",
    "    else :\n",
    "        break\n",
    "\n",
    "closest_dists = Counter(knn).most_common()\n",
    "closest_dists"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "100.0"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "confidence= closest_dists[0][1]* 100 /k\n",
    "confidence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1], c=y)\n",
    "plt.scatter(X_new[0], X_new[1],c='yellow' )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}