Assignment3.ipynb

{
 "cells": [
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 1:\n",
    "1. Write a function to compute 5/0 and use try/except to catch the exceptions.\n",
    "\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5.0\n",
      "division by zero\n"
     ]
    }
   ],
   "source": [
    "def divide(a, b):\n",
    "    try:\n",
    "        ans = a / b\n",
    "    except Exception as e:\n",
    "        print(e)\n",
    "    else: \n",
    "        print(ans)\n",
    "    \n",
    "divide(30, 6)\n",
    "divide(30, 0)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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40yx7MbNuyyiG9U2KjglZr8dD8+E9fMgBcoAcIAfW5QCy3rmc2+5Ny7o8lUWWt5TJFIVdlsDo5SozsqyXuISlNKWoV/WO3hSU8eQP+0z7SjTzOb6uKOt6GUshrOnpLfq4f5/LRLmX489P38Unocia9dRukHgl9WUMY31K+xM7WZ607NzUL2kziLeOO66fl7j9F0l/+k153LcTpVyWypRLeMpj+lxkfdkYzYz7aM5yHnzJAXKAHLi2HEDWrc12vj0n65f5AThO1vVykHP0vzUrv7idyS/f9n3BZhlM3+O7+DPAjQuP7yQHyIErzwFkvXM5t91D1rUA2WUw+tiJ3oclJuWs9DJJiTcg/nGY65bAnCjuDVwYkfV+xnJZztNfOJED5AA50MoBZN3abOfbPct6/LGmndvpR0hOSucZZT2tA9fPcG99ANlXX5hlnX4Yz8VjWdcDW5iQA+QAOUAO9JADyHrncm6716esczHq4WJEH8hjcoAcIAfIAXKgzgFk3dps59vIev0h4MIAE3KAHCAHyAFygBzYag4g653Lue0ess7FaKsXI+IiN8kBcoAcIAfIgToHkHVrs51vI+v1h4ALA0zIAXKAHCAHyAFyYKs5gKx3Lue2e4fK+vInc/hfP13zJc+3vzgUX2gcfjk1xqV/AOio56VPftF1PYMQ18G/iKqfD69+HEliTM9lj89hbzzJJnx5Np6n+Sy7yKVnwIfYYxz5ufXrObTalGfAr3skZ4zr1LEM8c0xS4/ojF+Sbv/OwVCXjBOvPM6OHCAHyIGryAFk3dps59uXKuteqNf9MNBy8ZuqW8uolXWRwuHHhd41xPdMF9LQ9sGyLmzqHzAqhDBI+xvI+vAkHf+DTOuZyri8uqz7uOWHqOy4z8n6UN7f7CLrRR4ObCRveYUPOUAOXFcOIOudy7nt3vll/TwfoCmhPvaiNVm3EjAryGFbyZndPjauqfNtLFNlx48dKOta4hWf8XbKnMg/ElU/OjP0qxD0L+6n33znvp5d2E4wsz7FYjEzZH1pHlGu/FzBAx7kQL85gKxbm+18e0rWw1IXv4Ql/a9/jEeWwXixrY+npS/q3OpZ5z/cDeftmjOHpo60HMXGJG0X9Rd1r5+Bn5T1CUms5FwLWTovyqefIW7NEuvlKO/qWdkwG9s+V2Q9zPaHut+5ciY5LTdJx9ozvgfK+gST4/6xiDzKfuiLb5b73G8986556v26Dl1GM7eyLuXUXxbGxiOMu4yTflXnLmaGrB+XQ3qseQ9LcoAc6CMHkPXO5dx2b1TWg/DeuWeRirCd/xwv0jwsRbHl5bz93gWh1z9mE9bj5rr21blR1Ie6VV1yoRkX6uPlZrzu6Q+5lXURaIl5//N37tPTl2E9nS2fZ5gb7QQBVMIZRDHLX6jr3Ts3rLGujn9wP/0s9VoRlf1eSFUblnvj5mPomy17im3Th7qtfAMi/Q7SXi0HGutXFHA5t6xfM2qUmxmPUJePX/2lpaxfmM+9Hp/Ph7U7FxfH4UoOkAPkwFvlALJubbbz7basx5+2t7KsJVZm1nOiRsHWs+9yzMq6P7esO7Yn54a6zRc7pS551bHIvvg6Lfr/ee/cP/6F/f//uR8/54vOeN25TNlm3C/CnNesZ5lulffy/vwulwmiOSJ3vu5SKqNMyqxzaLuQ1CiYcty2X5f3fRiT2tRvE6+t8+TbS2Vd97spyO1+BQYjvPd7kfXv3Cd9E5RuQubGI7BoxjKdQzVDZL1mspYh5WFIDpADfeUAst65nNvuTcm6yLN8yLXE1rJeCrec41+trIdtvUTGLLOx5XVd8l7HIvuG1+JJGuqvAwtneyfrnqijkr8gm3qmOs8Et4W+PK5FOy/z0Msq8lKXWr5LmY83BuW532vJDf1qS+3AdaOyrjkNsRbj1O5XexZeLuh6LPQYxuNz4xHiQNaHvyK1x0VY8wofcoAcIAfW5ACybm228+0pWW/Nfsu+WtbHZwCtfM/JcF13/SGeq0OSPtS1y8J+9pn1Yqa2FOZq5nxKfsOxLOP+3HJmvWRSy7oWVP++PL8u7+vT55T1B55T8RZy3Dj3kOOGgYxpfi355v22/Xa/2gzk3Fi3Zx7Kqb+A+HbmxiPEgqwj64fkPeeQN+QAOTCTA8h653Juu9eW9b2zkmvXlVuhDtsjS1esrMe61Jp1m5RpZtzO7GsZm2pPl7NxF8dsu2l76Y2ArStInZb1MLNulrkMs9kyc5uPl/VFwR5mjatZepHK+GrFs4zF1JUk+FVn1sP3EtY/bz/OYGtG+mkwx8m6/LVhYFzkQ5Z1Py7VjdbMeISxDJzrWflynMtxrI+N3wTXZefq4jjMyAFygBzoIQeQdWuznW+PybpP5ijs8rSXUq7LYzu3GxF1X08l616KRN6G5TB59jt8kIqlLK3647Kb6mkwVb1l3Es+pEfJujxtpfW0F5FkeVrLk16zHoU6L48pZ8JD3EEQ9VKWLLFx9lcd0zcN+32aHZbjH9xPT790g6xX9fpyWTKrukP8ue0lTPf7+F2CqTwZqycKu8Se45J15W3Z3rv9TL9Ce2ZM8hdCS1mXtjSXuv6aScmuPj7W57wfWc8skAxYkAPkADngcwBZ71zObfemZP1UF4VD5fdU7a+t59LiXdu/tymfbq70U4GKmWwuwO1xQdbbXMgXuJAD5MD15gCybm228+2zy/qCJS1bu+Ag66e9AA5/hUHUD1iHiaxv7fpAPKe9PsATnuTA+hxA1juXc9u9s8i6WYoiX0q9lA+kl/Vhec3E8p5L6Q9xrr8QvjmzYhnY+qVcbx4/fzU54MbsAvOUcWacyYE3yQFk3dps59tnkXU+vG/y4UXQkB1ygBwgB8gBcqD/HEDWO5dz2z1kvf8PNRduxpgcIAfIAXKAHOgnB5B1a7OdbyPr/Xx4uRAzluQAOUAOkAPkQP85gKx3Lue2e8h6/x9qLtyMMTlADpAD5AA50E8OIOvWZjvfRtb7+fByIWYsyQFygBwgB8iB/nMAWe9czm33kPX+P9RcuBljcoAcIAfIAXKgnxxA1q3Ndr6NrPfz4eVCzFiSA+QAOUAOkAP95wCy3rmc2+4h6/1/qLlwM8bkADlADpAD5EA/OYCsW5vtfBtZ7+fDy4WYsSQHyAFygBwgB/rPAWS9czm33UPW+/9Qc+FmjMkBcoAcIAfIgX5yAFm3Ntv5NrLez4eXCzFjSQ6QA+QAOUAO9J8DyHrncm67h6z3/6Hmws0YkwPkADlADpAD/eQAsm5ttvNtZL2fDy8XYsaSHCAHyAFygBzoPweQ9c7l3HYPWe//Q82FmzEmB8gBcoAcIAf6yQFk3dps59vIej8fXi7EjCU5QA6QA+QAOdB/DiDrncu57R6y3v+Hmgs3Y0wOkAPkADlADvSTA8i6tdnOt5H1fj68XIgZS3KAHCAHyAFyoP8cQNY7l3PbPWS9/w81F27GmBwgB8gBcoAc6CcHkHVrs51vI+v9fHi5EDOW5AA5QA6QA+RA/zmArHcu57Z7yHr/H2ou3IwxOUAOkAPkADnQTw4g69ZmO99G1vv58HIhZizJAXKAHCAHyIH+cwBZ71zObffmZf3Z3d3t3E7+f3h2F3Eh+PnB3fiYNxTv529v3O7XS/g9u7vdbmHZ/i9KF5Fve8aBcSIHyAFygBx4nRxA1q3Ndr49J+vPD17Ub9zDz6+TgCf7oIusf/PgPm9EpN5a1p9/vXM3336+jJutjYzZyfKR/pB35AA5QA6QAyfKAWS9czm33ZuW9TSrviHhvWR5Wi7r57kxQtbPw/WSc5LYyQlygBwgBy4vB5B1a7Odbx8j63HWPS+RufskCZ8k3y9B+XQ3LKHJx6Xc+GsQW78UJP1/98N42fJCY5btmBuNEPM3D+4h/MUgxn7z2zWzzWmJisR2q2buf7hzO72992Vv3MMfYuwi616a636ZelvLYHz90q6qN/ff1JFisSyHOoolOe1zc917F+O+c88nmhnQdfN+aX5TjlwhB8gBcuDacwBZ71zObffasv7ZPXyTJXxYr66Ww9jlMeW2zMjfuJuwZly2ldhOCd8fHtzN7lgpbLc53GCktexxe3lbk7PTS2R9p5aiBPlutx3EWMt0YJLFf1+dG2V7apnLVOxTx+SiGGI6elz4R0Z48koukAPkADlADhySA8i6tdnOt9uyLh+etvDu/Yyx/fJmWiMeZ6nT8bssoqukOIjpzi2fTZd49Ws7dhtH3F6+Jj8IazF7rtpcIutawMPMe7ufoR1V1s+OlyL+2T3c5nPD7PlYXOnGaErIJ/s1dWPFMdZgkgPkADlADpADr5oDyHrncm67d5Csy5c39ZNWWrJulqCsunsMM8dpuciMhLbrPY+s7/dRkmUpSXFDsVrWS+HW/bCyHraHJTD1MhpbXtcl732ZUvjVjcZUv7gIv+pFWMaLV52fvCcfyAFygByQHEDWrc12vn0yWU9r04uZ9WNkXQliENHVwn4uWVcXC/sXgNWy7peuqKUtts9qZn1atPdO1sPLB7n1OlfHcI7tl4prKMM+BJ4cIAfIAXKAHHiTHEDWO5dz272DZH2/d3b5SLm8pC3Kh4rekiUedd3tGMo4637U9Sg5ry5KcZ34MLse/hogS39kBj7LuBXqqX6FGxQl63GNeq6rinOBYE+1V9Zn+pX6HWJizfqbXJjL8ZnKSY7BihwgB8iB3nMAWbc22/n2obIeloMUX0IVSfUXibYoL/3wBKkslnzoumcuQrJER37ESV5HvlBqbzqmY4wSK0tg/KtdVhKFNi5TufuhnDmv+jXx14JK1r0w66VBgY/hkoR9iK+qX24g0jKa4WZgvl+eC7I+k3vVzRzlpz9P8IEPOUAOkAOH5ACy3rmc2+5NyzofokM+RKc4x4uxvRE4Rb3UQU6TA+QAOUAOkAOXnQPIurXZzreR9Q1+YBcsaeFCu8FxY2adJULkADlADpADr5ADyHrncm67h6xvRPrMEhdm1TcyLq9w0eXGi7EmB8gBcoAcWJMDyLq12c63kXUuEGsuEJQlX8gBcoAcIAfIgbfNAWS9czm33UPW3/YDxwUP/uQAOUAOkAPkADmwJgeQdWuznW8j61wg1lwgKEu+kAPkADlADpADb5sDyHrncm67h6y/7QeOCx78yQFygBwgB8gBcmBNDiDr1mY73960rJtnpsdfR93+B/rzb2/c7m7n7j5tP9Z4cSifB7/mgkHZSxlj4iRXyQFygBzoJQeQ9c7l3HZvu7L+2T2EH10yP/xzAU/nEFm/lJuL8CNWu4lfR70A5r1cgOkHMkEOkAPkADkwlwPIurXZzrc3K+syq55+eXQucTl+zMWNmXXy55j84VzyhxwgB8iB18wBZL1zObfdu0xZf3Z3d7uw1MQvN9nd6dn3dMxL/qe7ocyiJSnhWee6rr3bt/aNzTSr9nxcdmb9+WHndt88uAf/muK3Zdof9s/u4db+omm97/O3N26326X/y37IL6LqMnc/yMU1yfoPD+5Gzr99cJ9VP/V5vo18rq5j53a/fuYHMRS39ngKM17hQw6QA+QAObA+B5B1a7Odb29P1q2Ii9iKfKbj34hMjm3fuJswK2+PT30ovLSWIhokda2AJmm3Ih5k3Ut6+mtB3JZ+TcW1dyGOQqDNbLi5qbDlvawHkU99KY/Hfu92Eou5EQi/qCrHxuJMdaxlhdhyc0MOkAPkADlADqzKAWS9czm33duerCcZHFsGk0RYz5THNeI37uFnf67IfpbL1VI8CKeX1gPWck/Kuo1L4h6TYNnfkPMhzr3zMl7Odpflg6xr2S8EvCzrZzkKmQ9lbf0SF6/MCpED5AA5QA6QA6+ZA8i6tdnOty9N1uXLm7OyPsy8r7yAaIn177XgLr3zP4usRyG/+fZzuPsu5TzOhOclMLIUJt9o+PJybn1BqWU9LP/RfQ8z96levX8pE8qtmjWpx2hlHsMb3uQAOUAOdJsDyHrncm6714Osx5lzmaFes+ylJTnaXBIAACAASURBVEBRfP0stZ9dHhfc1rlp35lkPQu0l+s8Q7/f55jHJG+trIeZdTVzr+utZun5B6HbfxD0uPN+4jPPZ4DPADlADrxiDiDr1mY73740WR+WuQwz50nOh6fGHCvrIunP7uFWC/GKf6jPJet+iY+X9B/uqpuIINeFwJfxrpN13874spdiicxwcYrn8AXTkjuCCw9ygBwgB8iBU+cAst65nNvuXZ6s791e1rPLE2EGUfcXhONlPT53fP2TTWSJjjzpRV5lyY5dO1/+RWDZxSxKeV7eoi8A8Zgsgdm5nVquMi/r6jwj6lW9zZsCZF2PBe+X5TOc4EQOkAPkwPocQNatzXa+vVlZH2Zs1ycxH3yYkQPkADlADpAD5ECvOYCsdy7ntnvIOhezXi9m9IvcJgfIAXKAHOgxB5B1a7OdbyPrXMh6vJDRJ/KaHCAHyAFyoNccQNY7l3PbPWSdi1mvFzP6RW6TA+QAOUAO9JgDyLq12c63kXUuZD1eyI7tk39m/bF1cD6fLXKAHCAHyIFz5ACy3rmc2+4h61xIznEhufQ6kXU+F5eew8RPDpMD/eYAsm5ttvNtZL3fDzMX6sPHFlk/nB15BztygBwgB86bA8h653Juu4estz9Q5TPT5ddR22W3dFE65Nntx8U//+upuf7LeRY7sr79XM95RaywIAfIgevKAWTd2mzn28h64wMuP7pU/NhSo9wGnwUfZX3n5IeYzn8Bf2tZX9P+8jFE1pezOn+OEQuMyQFygBzQOYCsdy7ntnvIen0BkFn11xPeOgb9odz2+/PI8vI+n6d9ZP2Sc5LYl39+YAUrcuAScwBZtzbb+TayXl+oJmVdZt3vdm7n///mwX2WGfZPd2Gfl3yZ4d7d3blnOT73+ocHd7PbOS+K4f9fPy9+IonEHGK6szPrz+7ubudufvsQXmOZdUt7nn+t4trduIc/CDeR5bTEJcSu+6z3j/Trh7vc56Lu1EZxfOduvv0cuJQx5fjkeLgAj5yrL86xHh3zPsSjy/BexptXcoEcIAfIgbfOAWS9czm33UPW1UUnybYI7/Aqy2FE1Me20/k339zEZSiy/dsol9Mf7ii1dz9IPHG7EM852d/vnUh7+VeBKOu+P3F/2pZ+zNT7+dsbt7vNNyVheydyG2V9pyQ7yO/IjUZ1LNygKPkPci11790+bKvjVaxysyDc9KtnOHVuLIusa2a8n/6cwgc+5AA58PY5gKxbm+18G1mvP3Rt4RURLmek4wx6kkuR/UGCl0uxFeJwMfSiqiR5yQWyHbuNI23rvwpUEixc7E2E368FWb9P51jhVnVbWff9Lm9IdH3xfXlc4pJXXV72yethNzyeM8tghCGvSz53lCFPyAFy4DVzAFnvXM5t95D1+gLTFl5Z2jIv6zeLZtLLdoOs29nozci6nZ3Wgqzfpz6F2XI1Oz4h63FWOy9hkSVA8S8MrRuFklt542CP7d2+WFrUjql1gUXWGyzVOLaYsQ9m5AA5QA68Tg4g69ZmO99G1usP1nJZ/+wevvFr18uZ9YNl3cyiN2fbZ4SpHfupZ9a1RDdkfeImw86s++3xmfNG3VX/l5SJYxx4Dst36nHX/8gg69N8NCvew4ocIAfIgdfNAWS9czm33UPW6w9YW3j3bj+yZn2Q81Vr1E27aQbYrlnP26Z8Ja3xeDv2Y2R974JgqxuJ8ibCynLcHhNwK+tza9KXCHZV5wib2FY9ux7ONxKPrC/LN/6BhhM5QA6QA6+fA8i6tdnOt5H1+kPWFt5UTtalp6fBDKLuBfEYWffnF0s2pmac65jz02fSU2pCfLJk5zhZ9xfiKLSyXEULb5RzWb7iX8dEfaintdxHnoBTPU1m76KwS9ut+uNMv8QwtB/Wzufz9Jdg9T8uyHqdT5oP7+FDDpAD5MC2cgBZ71zObfeQ9W19AHu/IHoxHmR6bAZ8A/uZWedz0ftnkf6R4+TA5eYAsm5ttvNtZP1yP6wXd6Gtlvpslz2yvt2xubi838DNJ8zIZ3KgrxxA1juXc9s9ZL2vD/DmLshmKcolzKp7hsg6n4vNfZaQ/sU/EsfY8fntPQeQdWuznW8j61zUer+oHdI/ZJ3PxSF5wznkDTlADrxGDiDrncu57R6yzoXlNS4stEGekQPkADlADpADp8kBZN3abOfbyPppPjhcgOBIDpAD5AA5QA6QA6+RA8h653Juu4esc2F5jQsLbZBn5AA5QA6QA+TAaXIAWbc22/k2sn6aD85WLkDxeevyfPVz9M0/0/zGPfyhUfePH9z3796l/3/pfvpZl/noPr17556fvox+SWx4lrt9DvvEF+sOOaceq/ys+DVfgD1J28Oz9UeYNvuenyu/9kezct/Hx8M/134Nh1ynHm/ew4UcIAfIgXPlALLeuZzb7iHrfV1MDpb18Ous+seOWlymfp00yt+nH1vn+X3jchguZuGpMXPtj9Ud4zpUXMtfZB1rY2z/MW1P8RxrT+0Pon8os6nxiDcDh/I81z9O1KvGvnkTx3FyhBy4lhxA1q3Ndr6NrHNxCxe3BbI+KbU/f+ee331wvx+ViGmZD3WvmFG3F+RjZoOP/aGmw9ue+CvFKEedr17218zI63OnxyP+mu6hNwK6Hd7bXGWbnCAHyIFjcwBZ71zObfeQ9a1cNJ7d3d2dew7SvHO7u53bffPgPou0DTLty40dT/t9PXJeeP3sHr7xS2PUuUMZvU/O9692Kc2MWIYlMFOyPs15StbDsd0uPPvcP1KxNeN7uDDvXVPWWzP9rX37vTu87Qmmw/KY1O/mjcwxsj49Hv4fkiaXIq/m6zj2HyTOhzE5QA6QA3UOIOvWZjvfRtbrD8HbXBhEmkW0vWDv3M1vP8c13oPEi0TH8nefTPyD1Ov9sa4s4KZuL2DN81QdXlRv1c1DkravT79U69Rlvfo79/1vPo6uTW/xHZX1hUs9DhfmMSmtl4KMxXh422OybtuO2/U68vPK+n5kzFvjxz71WeGGZtVnn9whd8iB9TmArHcu57Z7yPr6D8l5LixevkXEY0yff3vjdg/PhaxrOffr0weZF0FoSneUc31uUfcCWR8T1YHFkTPro7O4aYa5NZs+tO3jP1gs47rxVv1lnyfE+NC2R25EQrv2xmikjVFukg/HvI7EV3A/pn7ORWrJAXKAHDgoB5B1a7OdbyPrG5d1WQrTlPBG7M1yx8u6l8JdcylGiuFAWQ9iOrK0ZZBCL6qyDMZKrL7Qp3L1DHSDU1rmsRt7so2vV8uqf3+ytuNMeesvFb7P5U1Cin1E1n35MDZT/dCMVr0fm/lv8xzGa1Ub1AU3coAcIAfW5gCy3rmc2+4h61u5SCyZWZclMhMxn0nWmwKppexAWZcL1NIZ4iCmDWmejU/HWrwfn1nf7/MxX//YTcDBbeubARVTqM/0sbVPxyccT/o6Et9J21D9pt6JzzWcDpp9JKfIqV5zAFm3Ntv5NrK+lYuZkfUg3Ts3LF1pSngj9ma5BTPr+5E18CIJEzO74WJ4pKwvFd62tB7zJc+xNeuRrW/v5ttn93A7fqMUy6TvFgivRa8jM9dBkvUXaeNMfL1UZ2Jpzv6L++mv/HcI7PPuGzkzFuvcmI+dx37EkhwgB8iBs+YAst65nNvuIesr5OWsF58oy+EpMOlpL4Oo+3abEp5jD2vQ5Skxw6sI5hJZ37v9p7v4FJpwfrl+fu9lfmq5yplkPci5LIEJr9Kn3Hd/s3C4ME/LuvR7agnQ4W2PyLof7yTssvynPat/Xllf+teOXmeu6Ff5GYMHPMiB7eQAsm5ttvNtZH0rHz4zs37WG4PD+hzE2SzPONXFO9Q9tSZ+hsfhwjwn6/OsDm97QtZn+hu5T8n6fNyTY8cSmLPOik2yXzT2R44vbTC+5MBF5wCy3rmc2+4h61v5R2/7si5rpNuzvEdyPGrJRV5bfogEHXejcEzbx5wrs+/tvzQcwiGfM/NXFP6Rv+h/5PM4H/mZJQ/IA3LgzXIAWbc22/k2sr6Vf7AuQdY9q2Nng8d5x6eazDx1xvzjMJxz1Ix/lGa/5GTNjchJ2h6Wu6z5JdIo02vjXSpph/+lYHxsl7ZNORiSA+QAOTCfA8h653Juu4esz38ouHDAiBwgB8gBcoAcIAe2kgPIurXZzreRdS4+W7n4EAe5SA6QA+QAOUAOzOcAst65nNvuIevzHwouHDAiB8gBcoAcIAfIga3kALJubbbzbWSdi89WLj7EQS6SA+QAOUAOkAPzOYCsdy7ntnvI+vyHggsHjMgBcoAcIAfIAXJgKzmArFub7XwbWefis5WLD3GQi+QAOUAOkAPkwHwOIOudy7nt3u9+9zv35z//+c2eFcqHcv5DCSMYkQPkADlADpAD5IDPAe9s3t1a//31v/1Na7fb2b2+oP3flmF7OwT+9Kc/hUH3d2n8DwNygBwgB8gBcoAcIAe2mwNe1L27tf5D1ltU2AcBCEAAAhCAAAQgAIENEEDWNzAIhAABCEAAAhCAAAQgAIEWAWS9RYV9EIAABCAAAQhAAAIQ2AABZH0Dg0AIEIAABCAAAQhAAAIQaBFA1ltU2AcBCEAAAhCAAAQgAIENEEDWNzAIhAABCEAAAhCAAAQgAIEWAWS9RYV9EIAABCAAAQhAAAIQ2AABZH0Dg0AIEIAABCAAAQhAAAIQaBFA1ltU2AcBCEAAAhCAAAQgAIENEEDWNzAIVxfCl0d3u9u53YeXbrr+8mHndr5Pu527ffraTb+mOvL16faoMZxkJjkSmN67fjJliijHIAABCEAAAjUBZL1mch17RIbeP7pXV0tpuyNZl6TxAvqash6EOd0kxJuFW/f4RaI57+uxsi7RTTILuYKsCyteIQABCEDg+ggg69c35qHHXrRun17c4/vXk7trQD0pnmcAEIRZ3XDZ7TM0OVSJrA8oeAMBCEAAAhA4GwFk/Wxot1zxV/f4fufuPzoXpT3PrcftR3cvyw8+3sflHXoWXPaFMqXsi6wGkUszvr4d+c8fn14uEmOTMrtdOauq693tdNv+PL/9kmL37ZTnuiLuNTPgC+pOHZT+S3+HV9P2wCTsb8Vp9g0VlW8CDyXrrjETPc7M1zXNu2Smecfc8UuZ9JgO/Qphmrp1nKobo8x8mUZ/1Km8hQAEIAABCHRPAFnvfogbHdQC5GVRSVQUOy9lSbT8MV0+vFfSZmRzELck95VMpnDagpba1DcGOvwvj+5erQcv6xYxlNjidl6S4iVejulKl7y3dbsoqI042/16cfe6bMEs3lxoyQ0MdfmJEEsGWaCHUyaZNcoPJ4ooK2ZF3OlcvUa/On6vluTY8cgNtZml4zr38im8gwAEIAABCFwNAWT9aoY6dzQI3iCDpcTmY1GugkQqYfLHswD7OlU5lyRWyf/YzGhT0Izs5YhH3qm4bBwhsuILkFGKy9hH6q12l30Mh32sup/pnGa/qvrGmPuC5bHqVLMjjFexZn1mRr5gJsLdPmdurHOuSFCRsb7xkCP+tS4fj04yM/Hq+ngPAQhAAAIQuAYCyPo1jHLRx1o8tSxloVLllDD5snmJSn4vgqbrKpo1G61yoe2GAOdTY0xl+yKaKt50Qu5L2hH6ITHLebn28Xd13XF5SF1Hq1++3pqbmrFWfEO9w43UeERypGIWbnhU3dUyl3p5kI5N38zo/Zq5jHXF19y4xRs14Z1eG30bYxb6qNlIp3mFAAQgAAEIXBEBZP2KBjt0tRBWJVJJkrOAKUFVwjQpVklKtfCN4W3WMzJbLXUEedQyr+Kan1mXWuJr6Kdd014WUVuKhewdibXVr7otO3ue6/fniwxLU1OvoW7NxAjzNDNbc5wZl/Fr9UWfkXNF9up+lXX5EnX5eN5kO8UYSzu8QgACEIAABK6HALJ+PWMde9qSzCBEcTY2C1UWyGIpSzVzWwKcFC9VtF2uFjx1ilknHuPLXyJV8aaTcl90Lel96Ec9M94oWS31iUtV2l9QbfUrxKGE2pcpvxzrXJhRf3/rblW5dizlXlu3nfEPbQ2z2ZZZWZfc8Iisx7r0LH1Z3vItY4ljOdx4hBxrP1u/xWxoaUrWpc6VzIa6eQMBCEAAAhC4AALI+gUM0ilDbItRlDgvaVnAlPxaYQqiq2bl1Qx1u37pQRQ4vaTCvx/kMBSzZZRQi5zJU2ae/I8ryXEVb2ou9yXJcLG2e1xCJdr8KpKb+zwdcyyXy5R9un3yT9ux7ccy+Zzc+tS70Mepfi1gVozHIPap1Ymxrto20lwev3ePje8QFG2rXCjPFe4y1ik26Ztpd4oXxyAAAQhAAAKXRgBZv7QRI943IFDfCJw+CC/rVuBP3wo1QgACEIAABCBwWQSQ9csaL6J9EwLnl/VyucqbdJJGIQABCEAAAhDYIAFkfYODQkhbI3A+WQ+S7pexsJRja4NOPBCAAAQgAIFNEEDWNzEMBAEBCEAAAhCAAAQgAIGaALJeM2EPBCAAAQhAAAIQgAAENkEAWd/EMBAEBCAAAQhAAAIQgAAEagLIes2EPRCAAAQgAAEIQAACENgEAWR9E8NwZUHI87HtM70vGMPwRVH1rPDL6U56DvzKL7mGZ6GvPOdymBApBCAAAQhAYBsEkPVtjMPrRyHC/BayJW13JOsygNM/CiWlTv1qfrRpNde3kvXzPWXn1ISpDwIQgAAEIPBWBJD1tyL/xu36WdHbpxf3+J4f4jnlULy+rCfR1oL+8d7dfzxlr9p1HT+zjqy3ybIXAhCAAAQgkAkg65nFFb3LkhSl/evQ97j96O7DT9jfuxf5uXkjg/ln4kvZF1kNIhfq2BXiOL9cxMwS78qfmNf17opf/PTn+ViSvEr8Q8+cc9KXFNftU+63Lla/X1B3Okn6X9Vh2h5kOuwv+xjjNPuqCuOOwGPqryO+fn9c/prh+67GsuCp9ufmxsfDti1jO/TNmXNV/VI259HO+ffLxyRHyDsIQAACEIBAzwSQ9Z5Hd6xvQdySDIrMpbJR3rz0JtEaRC+VD+cqQTeyOUhYEjMrdBJSW2pTm0rqpHx4/fLo7pVgl3WLGEpscTvLn5d4OVbUumDD1u1c6Gcjzna/Xty9LlswizcXWXDH664DtX2sS+QblJHxS6cEljrGsD/1u9ofT9L8Aw9z01AyasUa9+m+N3rALghAAAIQgMBVE0DWr3D4SzErJTYfUyKl5N4fzwLs4alyLommljZ1rkbdlNpCYnXpkfdF3WUcIbKnWzWLHKW4jH2k3mp3XXeQYN3PdE6zX1V9Y8x9wfJYdWqxI8Y12afAVN+kNPriR7FglRqZGY9wzvtH9/ih9Qusvh/mrwO+voJZO5aii2xAAAIQgAAErpwAsn51CVALkhbMLG2qnJLiMFualpHoJQwyO6rrmkLbKifyN744Jcak290NQqjiTQ3nvqQdoR9xuUU+bypKOVbXPbZUpdUvX0vNTQm04hvqHZnJlmjya4xrVtYLQc5n63cVKxH4iXPDOWNLigrWwtxKfYOrDor3EIAABCAAAQg4ZP3akmBGorK0KZFSMjkmo4Jx7vhkuWrmVUrH1yC8Wh5VXHaG35+R+1LWMxwbRL8+Xu5RLOTASKyt/kep1bPMdvY81+/PlxsfaWrqtWJiC4/EaYs1Wc2cG87x45Fyqoi7GBvbmmznfsseXiEAAQhAAAIQKAkg6yWP/rdaAhbEKs70ZmlTIqXFy58/sfa7JastqO1yXmLHv2QYxHSYdY7x5RlyFW9qMPelEUHohxboRplhl617PM5WvwapTfWFfliGYVxu3a2+GRnan3iTRLmYXddPg2mNd6O6Nqvxfvoqin5VeZHGZxivRqPyF4fRMjLG6q8Q7WrYCwEIQAACEOiWALLe7dC2O9aSSZmV9sKXpU0JqpZ1X20QM7W0Qc1Qt+uXWKL8lctYrJzbMkqok5jK+fdPj+52aFvFm5rLfWnFvEYARRpznws5DuvM8zGJL5cp+3T75J+2Y9ufFmMh2Hw1XPTTXsbW1sd66n6F2At5LmPPN0dG1kXei5utuv7MRHpS1l8el/MtKzmXVwhAAAIQgED/BJD1/seYHh5NIEpjsczj6DptBV5akVJLhW0IQAACEIDAtRNA1q89A+j/AgLnl/WwNKaY0V4QFkUgAAEIQAACEOieALLe/RDTweMJnE/W4/p1+5SU4yOmBghAAAIQgAAE+iCArPcxjvQCAhCAAAQgAAEIQKBDAsh6h4NKlyAAAQhAAAIQgAAE+iCArPcxjvQCAhCAAAQgAAEIQKBDAsh6h4NKlyAAAQhAAAIQgAAE+iCArPcxjpfVC3kuOE8/WTBul/pIxyO/lCs5svPPr1fP2k/EwjP0w7GdK54rv4AoRSAAAQhAAAKXRABZv6TROmWsIkNrfzHzFDFI29ck66HPtXTO4zxO1oenzYjYNsR3PoZDShwp69LkDLfih6/kHF4hAAEIQAACHRFA1jsazDVd8ZJz+/TiHt/zQzxruB1cdkY6x+s9gayrm6LXe547sj4+phyBAAQgAAEILCeArC9n1VHJLFJR2r8OfYvbj+5elh98vHfVT9DLvlCmlH0vg/4n48OMZ5rN1b/8qWd6y5+WlxBibKFNiUEOqZ+0j8d12/48v+3l1i+daCyfKOKOcaqqR99Kn8oCmWHcr9vVSzPM/iE2HbtzbjS2JOsfH92tnLviryGVnPt2ivMN7+LYVFyx13qcy+Uqwkf33/5lQR/TzBTpmZuc0L66GVFn8hYCEIAABCDQBQFkvYthXNkJLUBG3qJ8eZFMEuflTZcP75VoBsnMEjbIeBKoUJ8VQOfclACPrkH+8ujun8obiyyeIp0SW9zONwRJer+sZCU3CJUQiozG+l4+ZAbORQnVNylOM7QhBIYStz0oQiv1N+q2p6htK+uW+9ene/c4MFnJzIx9OdZ2POKY67GdZeb7McVtdGwUAN5CAAIQgAAELpwAsn7hA3hI+OVsZCmx+ZiSUSVM/ngWYN+6KpckPAv0uGxZaQz9MPI32zcVl40jRPZ0q758GCW3jH22hVjAx5VkPcddcrM15XLpSBGrLm0FWR/z7+t2qrrtKWrbl81/pZj/pdQ8/tL2+F8gfN3FDUkRa5kXIaSZ8W32a5Rb7GQZr+o4byEAAQhAAAKdEEDWOxnI5d2oJUpLUpYfVU4JUyV/aWmGSJuuayqmVrnQdmMWPtcTYyrkc/jCpIo3nZD7knaEfoi8ykx1rn30nT8vxPXi7j/cu/sg7l6iVR1BRKXu+FrcGCiGZTvxJkL4lcf81glkXf1VIDDRcRdMUvyqfJzZln6p/qabtHIsfDn5C0E9HtUs+Rwz3/1RbpFUNcY1QPZAAAIQgAAELpoAsn7Rw3dA8C0588KdJDnLj5ItJUwtydZRzB2Xss1yXt4mZN2fUxxXcc3PrEvL8bWS1vKw2Upi/vE+/FUhLN/wbUusiakW7qp/Ray6esVZ7x7en1bWS/mPNwr6piKP/xDA8KZkNhd347ge3yXMfMuj3GJYU/EOgfMGAhCAAAQgcMEEkPULHryDQtfCJBUEIYozoll+lGxpYQqzoTJ7KhXk10pS86HiXbtcLY/6pCDrw6xvjC9/qVHFm07KfdG1pPehH3qmuFFm2BVl/TGt7/b1+hl2WRoThVIxCXXb5SOxb1ropfoQp57tlgPh1Z+n6h5d71+cNGyUzFz84q/cZNi19Umgh34NtaQ3htl03HY84vZwY6ByLtTeZHakrKc6R/tj+8c2BCAAAQhAYIMEkPUNDso5Q2pLchapLLhKtrSs++BEguTpJEo02/VLj6Kw2qUTg8CFYraMEmqRSVl68+SfkCLHVbypudyXVsylAEuE7ddY9zCrn+LQcQcpFh7vH91jeipOUV/BrWw/iq8sN9GifwJZl7jCq/CKkZXt3rtHvc6/iFcvccm9Ks/Xf/lIzFTbmpevYYpZVW8Re113yKnhRi7FJ/Hb/Tl83kEAAhCAAAQ2TwBZ3/wQESAEIAABCEAAAhCAwLUSQNavdeTpNwQgAAEIQAACEIDA5gkg65sfIgKEAAQgAAEIQAACELhWAsj6tY48/YYABCAAAQhAAAIQ2DwBZH3zQ0SAEIAABCAAAQhAAALXSgBZv9aRp98QgAAEIAABCEAAApsngKxvfogIEAIQgAAEIAABCEDgWgkg69c68m/Zb3leOs+/XjAK9XPWF5x00iLyzPPWDzqNNxSfhW6frT5eniMQgAAEIAABCLQIIOstKtewT4R5+DXLV+y0tH1Nsh76XP4g0TLip5D18oem1gr0m8m6/1Gjt8jPZQNDKQhAAAIQgMCrEEDWXwXz9hrxAnb79OIe35e/pLm9SDuJ6K1kPd0YaUH/+nTvHr+cm+sJZtaR9XMPEvVDAAIQgMAFEEDWL2CQTh9iFCm/rCFK+9ehibj96O7l591bP9ku+0KZUvb9T8h7MZTZWP8z8Hr5hP6JeS2QQwDO/pR8ORut693tdNv+PL+tZ5HLc10Rd4wztzv+TvpUlsgM437d7s7thr8amP2B2c6VsTs3Hps//9Y9fnx0t3LuitnmwHuIpeyB35K+aa55vHTsmrWuR5fZqZnwyCePsZTTYyL7PA81HvKXF+nv8KrP1THwHgIQgAAEINAvAWS937Ed75me5TWzl1HavJglafZiqMuH90rcggBniRpkPAliqK8hlyKJZZCpzTG5/PLo7p/KG4u8TCKdOwh8SxZV3GXDk1uhD1VMsX4R25cPmYFzUULlWKhcM7StBYZjsYnQSv2Num19w/Z82WXj5etpxRfrz0I+NOxcuumKx1rlWuNT3tiFG5hG7uhWeA8BCEAAAhDonQCy3vsIN/pXymcpYvmYklElmv54KWeqXJqpzQLtnFPn6lCasm7EX5dvvi/qLuPw5XNf/FZLGJu11jt9XEnWc9wlN3tSLpeOFLHq0lZa9TH/vm6nqtueMmzHPhc3DcOx+MbXNT9edQz+7MB3VKalX/GvvcL1dQAAF89JREFUNGXOpLww55bjlf7aYMqY8NmEAAQgAAEIdE8AWe9+iG0Ha6nV8peFSZVTohnkbliWEJcv6KUuui7bst5ulZuWP392jMm3l/+XGWcVb2oo9yXtCP2Qc+U8HdXIe39ekMYXd//h3t0HcfcCq+oINxpSd3wtBFUxLFuZE+palFvsyjpla67uvAxGzmi/1jH4ciEXqr84SA16rBqz8g1eYUx1fb4Msi5AeYUABCAAgSslgKxf28AXwqrkMklRFlwlv0o050Rx7rjgbpabkbMgh1reVFwi8noWOfdFWs2v4ZiW7Xyo8c7L6r17+Xgf/qoQlrz4tiWWxFS3XfWviFU3oTjr3cP7WpSruoey9k0SZi3ApsiyuuoYfDVTfGU8/A1Lk/XMWIcwl5Qx/WETAhCAAAQg0BsBZL23EZ3rT0uAgkjG2c8sYEoitWj685vrl2PDy+RvbEbXS6H6oqHpi69blqOIDO4G4VbxpvNyX0xFfjP0Q82MN4rkXVHWH9NTVHy9foZ9iEXxC+eEum0/Yt+00Ev9TZmVg0ctg5F+lmvB9dNglo1XW9bjEqey7iHsYs16moWXm5tQaHqsQxHLNVce34XjZhmPLcM2BCAAAQhA4MIJIOsXPoBrw2/LWRTdYRY0zMQq+dWy7htMMlovRRmTcIkyClo+r7FcJK0tz2WUUIucpWUw90/+CSlyXMWbmitkvYq5sTRDwqxeY93DkowUh17mEm4kZHnO+0f3mJ6KU1RVxFC2H4U9/6Uj112LcnsMi5bKjaLd8iZisi5zXhyTMm4R9mG8BiHPORWDSQyLG706H+zNTMlFxjp1T/JhaLPsNlsQgAAEIACBHggg6z2MIn2AAAQgAAEIQAACEOiSALLe5bDSKQhAAAIQgAAEIACBHggg6z2MIn2AAAQgAAEIQAACEOiSALLe5bDSKQhAAAIQgAAEIACBHggg6z2MIn2AAAQgAAEIQAACEOiSALLe5bDSKQhAAAIQgAAEIACBHggg6z2MIn2AAAQgAAEIQAACEOiSALLe5bC+YqfsM9hD0+n52Zf0/Gt5Znd4Vrp5nvcr4nzdpupn069qf4ZZ8Yz0iV9RXdUmhSEAAQhAAAJXRgBZv7IBz7/8mX+Ax/+gTf4RnpVAepF16XazP3LwHK/1DwMNv4x6juaKOo+Udalrhlnx41RyDq8QgAAEIAABCCwigKwvwtRjIfsLkwf2cUbUDqz17U579f5EWc+/3Gm3z4kCWT8nXeqGAAQgAAEInIIAsn4KihdZx5ise1m8dy9BWtPsu13OUv0MfV42Mr/0wcwk6+URvt4PL07XYWf89TH/F4EsuTODsKDuUMOorEdevs3wv2ISYlLbvp7WvnaEtZy/fLB/6Zhg5is14zHNLI+V/JXl/qOuXx+v627yHmUWexxY6HFug2AvBCAAAQhAAAINAsh6A8p17JqSdS+kIm1GJoOY3brHL4nSiKiNCdrLB6nXn2/qFukUsQvbqvxIW4vGy9Zt+yGVjLTx9ek+99kZdlVd5rjU3Xw1DAITxddTmmLWKF80YxiWNxFyA5Lb8zcKeRnOi7uXsfCVmrqGdkaYyfGxXJDjvEIAAhCAAAQgME4AWR9n0/mRMaH08pjlzUPQM736fQA0ImpLBa2oz8tgMUNtYgltrZhN1yNY1R37X80Uj/RHV+Xf2/4V/VhYR6wzyvowY7/g+wNFW+mGx86mS7y+bNlHzbTBYEzIQ4X6XGnBOTfTX8tKnclbCEAAAhCAAARmCCDrM4D6PfxGsh5kcOTLrZVQN+RQn1+I/cxIVXWP9H9MPMP+Mu48A51mnVM8Xk7H5LmOMsp6FuoYV1W3LL9Jr0X9RWzqLxHpLwD6RiC+l5uxhqyb/nvZL8+Xc1VPzDnqSHiLrFsibEMAAhCAAASWE0DWl7PqrOSIrDaWVeiZXP0+ABkRtaagJanMYlrO2odlFoWAN2RdjUIQyaK8Omjfjsi6jmW8P1GotSDX/ZNYPdeG0Np4hm0r66X4x1nrcna8GoOhrjTjPyxhasi4KpvXrKudilPo41CXLyN9VOX925EckFI1KznCKwQgAAEIQAACcwSQ9TlC3R4/TNaDeA2CHEUzr2/PsJqCFqROiWyaJR8kWIlirGlEDlMzZSy57eY7U3c4txDRdFZTPI1Qp5uOYvZblsa8v3W3ep13Mxi909Q9tx7eMtNV+ffheJ5dH+1nOM/KfJkTlm+4OTJLpEI1TWY5sFDPGJPUH8syn807CEAAAhCAwHUTQNavbvyjkJVLG/TTR2pBLmdy9flevH15kUN9TC2fUKIWhS8de//oHvWTT4xQ25ncKJ6q3qHdBYMoUjgsJ5GY47l13b6dXKY8fu8en27VFzFT+0niq9n6yfCirBfjoXj5U2eZDX3yMaubodRuGftOfS+gHq/hximcW8Z2+/RYfJ+hqjfEIczqukMfTd+GJ9nY/ZPMOAgBCEAAAhC4HgLI+vWM9XX3tLoROAOOmRnmM7RIlRCAAAQgAAEIdE4AWe98gOleInB2WY8zyeXMNPQhAAEIQAACEIDAcQSQ9eP4cfalEDibrKvlHizluJRsIE4IQAACEIDAxRBA1i9mqAgUAhCAAAQgAAEIQODaCCDr1zbi9BcCEIAABCAAAQhA4GIIIOsXM1QECgEIQAACEIAABCBwbQSQ9WsbcfoLAQhAAAIQgAAEIHAxBJD1ixmqjQbafFxhej738ONJG41dh5WekR6fdy7PCtcFtv1ennm+7hnvPMFm26NKdBCAAAQgAAHnkPWrywL19BL1YzoHP3KwF1mXPGj2Rw6e8bX40ab6h43mWn4zWT/bU3bmesxxCEAAAhCAwHUQQNavY5wbvTzRrOpbyW2jRyfZ9Qb9iaKtBf2re/zw6L6epENTlZwgB5D1KcAcgwAEIAABCBxNAFk/GuGlVjAman4Jy717CdLqf75e/zx96msxC+zL5GUjMsPb/Gn5cHr5E/Y7/WxyX++HF6frsDP++phvY/GyjwV1h/BGZd38RUIt8QkxqW1fT2tfomdeIo/xfsR2/fGXD2k8dlrsNU+9Xzejy+jxtDkg5fJ4umKsVf06P9RfaHQu6Ah4DwEIQAACEIDAYQSQ9cO4dXCWFTXpkhW2uD3IZJA0K21K7lI1QVa1iKf9Lx90WVO3iKGcF7ZV+VGRltgnXm3dth9y6kgbX5/u3eMXKWTYVXWZ43Ja69X2sSoT6/I3JnLjEqRdGA3lPUs1LsX+fO6wO7zRccaxkDbCYduvVqx+n7lRKdtgCwIQgAAEIACBYwgg68fQu+hztajpjtTS5+VQJE6/D2eNyu1tmCXXNbfeF/VV4mdiCW2tmE3XDVZ1x/4PNyFSdqQ/clhe7c1I0Y+FdYS6WgIsjYTXJOtazqu++IKGVapjeoZfcuDR3aubAWnenyvjHvc1mDVjkRp4hQAEIAABCEDgWALI+rEEL/Z8ETW7MrqWPi2i+n3o+oiYWpkdMAU5leUc8XUQwkr86liKZRlrZnSrukf6P9IfF/aXcVdLeFI8teQOva/fBB7qrwdViYYgV2X8jgYrv9cvndGiX5wb6w5Llhqz8uHcYolL7H9xg1NxLRpgAwIQgAAEIACBIwkg60cCvNzTR2S1IX1a0PX70PcRuW3KehJeLXtFfZX4tQVUmAeZXCrsVd0jEtzsj48j/3XBt1/3T2L19baWo0jU5rXBpCwxEmdZaFTW6zj1iTkHQjn13QNfqhgbfZp+X3HVB3kPAQhAAAIQgMCxBJD1Ywle7PlZ1MouiHTmvVragtQNghwltvWlwqYkBjFVIutFT0twJX51LDmqNV/idC7MyA9xp3ONnIa6J2R9uMlIgm1nrCObW3c7OpOto8/vw01HEYt+Gsxxsi5/ERhiz836Ww73+D7fhFQ3P2F81HgV56YNO6a2jLBS7G0RtiEAAQhAAAIQGCeArI+z6fRIFLS49CEv6xiWoszMrIvg5aUTXqhlGUe7bi21UUxTu+8f3aNaD2+F2i7tiLO/OebWTcLooKUbg9xviTmeUdft28llyuP37vGpsSY/iWlbjEcjCwcKLsWSlBlZr/rl4zaCLcIsS1oGcS5lPY+tOr+qPzORHlk2L3LAv0rbQ5v6IO8hAAEIQAACEJgjgKzPEeJ4HwS8dJ5bGIOY1jLbB0B6AQEIQAACEIDAWxBA1t+COm2+PoGzy7qdpX79LtIiBCAAAQhAAAL9EUDW+xtTetQicDZZV0t/Vq5Vb4XJPghAAAIQgAAEIKAJIOuaBu8hAAEIQAACEIAABCCwIQLI+oYGg1AgAAEIQAACEIAABCCgCSDrmgbvIQABCEAAAhCAAAQgsCECyPqGBoNQIAABCEAAAhCAAAQgoAkg65oG79cTaD6uMP1Y0rkflbg+2rc542xfbj1zd46Mu3j+euPLt/rZ8vk5/2fuE9VDAAIQgAAELowAsn5hA3Z8uOrpJfIjOfpXRNc2cEWy7uXyIKk8RnrlR4VOMVZrx/aYuFVbQdobsi5FDuYqFfAKAQhAAAIQ6JgAst7x4E537UTPBW/K+nTLl3r0YKk8RnoDX/WLonb7nDCPiVvFhawrGLyFAAQgAAEIrCSArK8E1k/xMVn3S1ju3Yue0bXLWbzEqZnenS+fwMwtfXAuLZGR8/WMq6/3w4vTddiZbH3Mx3D/ccGIjN1QGBkt686CXO7f5b7r2J0r4i5iS+28PN0O59p+jfaikvM4bkW/zXgUx6biCo2av7ToPi2Iu2STmen+hDK6Xn3QOXfwTZCph00IQAACEIBAjwSQ9R5HdVGfpmTdC6kIeJTrQQCtPI6I8JigvXyQen2Qpm6RThG7sK3Kj7Q1313fTkMkk4x+9RV8eXT3T+FdqC7Eb25SpqQySquKVQc11y9d1r6f5f3i7oWXP3clM98nf4MU/zM5YeNuxDLHzNc7lgupUWRdQPAKAQhAAAIQaBBA1htQrmOXEbOh07XYaknV78MpIwI9J2jSXFGfludQwMQS2lo4my4NhFff1yTrKt7JGFU5qaqIVXaGV3PTURxLAl2Iv+mXLa+3U5/1XzKGGyddbnhv6p5k5suaGww9Bvp9qH8sZ1LjDWb+yCRnZtaHkeMNBCAAAQhAoEUAWW9RuYp9Y+JlZM/IVCWsawVNZmtlGYz+cmslh3UsceY4LUUpBHh60HzcXnK/Pt27+w/37vFLlMi8HCXy0FKc/7oQ6676Lk0GBo2Zezm+pF9S1r5WdXsm5RddfVxl3CYWzVwzC3Xbc3duJ2WquO2SlXlmvjvIuh1UtiEAAQhAAALLCSDry1l1VvINZD3JoZ4ZLgS4ksOGrKtRCJIqYqn2t956Ybx9enGP7+N6fL98w58vsVR1hVjLWeci1qKR6TjDDUYR50x5XXcl66X8BhEuZsen6y762eijbrqOO+bMGma+PmS9oMoGBCAAAQhAYBUBZH0Vrp4KHybrQbwG8fRiqNe3Zz5NQbPimWZ8h9ntlbJexpLbbr3zZW+fHtP67hd3//7e3cvSmPTXA7t2286sT7VXSLANYGW/itMtM7PO38YU4mitz0+VluXTzPiwZr1oOa5/H8a6Xg8f2hrOTXUVNw6xvtDmUM60Yf5yUx6VOs1fCspCbEEAAhCAAAS6JoCsdz28rc6JAJXLHwZhDjJYypGXsnxcn+/LeWGXGWh9TNWvRC3KZDr2/tE96rpnpDZIn1o+Y2W61dthX7oxKGaFh7jjF0xvVd33T4/uVh8PFZn+qX75w0Xf9JNqZvo1xNh6E2RdsTRLYORLurIMJtyQKFmfZ2b6pOtPzKTuireJrWRW1xvqGZjJjd5U36SOMh9bmNgHAQhAAAIQ6JUAst7ryNIvCEAAAhCAAAQgAIGLJ4CsX/wQ0gEIQAACEIAABCAAgV4JIOu9jiz9ggAEIAABCEAAAhC4eALI+sUPIR2AAAQgAAEIQAACEOiVALLe68jSLwhAAAIQgAAEIACBiyeArF/8ENIBCEAAAhCAAAQgAIFeCSDrvY4s/YIABCAAAQhAAAIQuHgCyPrFD+EbdyA8a1uesy6xpGdo6x/UkUPX+Fo9Z/31IcRnwK98Xnl4zrod29ePnRYhAAEIQAAC10wAWb+60Zcfmpn6MZoVUK5I1ssfh1rB6ASyXv640XqBfitZP5jZCrwUhQAEIAABCPRMAFnveXQn+xalPf8y6WTh8YNNWR8vfslHDhbPI2U9irYW9Bd3P/wS6BmJnmBm/WBmZ+wWVUMAAhCAAAQuiQCyfkmjddJYx2TdL2G5dy/6p+TtcpYgcXpmPotkMQPcFErzM/O6jK/3w4vTddibCX3M/3z9/ccFUMZuKIxEl3XnJSPlftVvHbtzRdxFbKmdl6db5/f7/22/RnsRYs+xVOWGvimuerz0OPpxrSpwzpnxHGIL+/M5wmE4XvW5Liv9HV4Ns1Y47IMABCAAAQhAIBNA1jOLK3s3JeteKEW8ogQOUmzlcZDFEl8Qu4aYvXyQen15U7dIo5xnZNGNtFW23Nry7TSE19cvYvvl0d0/fR1ODvHLsbR3apY4iqzu21BVluGxfqmi9m0rjqLMIOPSP8NUCo+xC4zlXCmcXhX/Zv/UcX9GK9YpZqY1NiEAAQhAAAIQaBBA1htQrmPXlKyX8qaFS78PnEYkMIibyOkE0KI+Lc/hHCPZSUyHG4eJestDvq+pTyreyRhVOamriFV2htcRQZYyc/2Sco3XlgAXxRpMmnE2+uPcWA6kFpKMP4a/CNQ3Ir6dcizMePnbsQ8r/opQdIwNCEAAAhCAAAQ8AWT9avNgTNSmhauSr6YEplnWlqwHAVRLSfSSkCVSq883M99TQyli+fXp3t1/uHePX2KMeUlH5DEs1wjLVUpBrfouDQYG5Q2OHAqvS/pVnJA3lsl6GWc+W71rjtOCm4y0bMcvTyr/a/Hy41pyGGVWVsYWBCAAAQhAAAIjBJD1ETD9734DWQ/CWM7GFjK3Umr9ucMylpkB89J7+/TiHt/H9fh+yYs/X2aGq7oaclvEWrRX3+AUh1f2qzrXCHBxvBFncVw2muViDggDKTq8hhsjfyMQpT7f2PgSM+emSsaZDa3wBgIQgAAEIACBCQLI+gScvg8dJuvlTG+UuLy+PRML5exsbBBGNfMaZFAtk1gptWUsue3Wuyjrj+kpKi/u/v29u5elMWm5Rp49jmxsv6baq2RfB7GyX/pUkeLypkQ9DaYp4WUNYWukXOjT8P0Ec94g687F7wvkmxtfcvLcVNUUs1Ak5UBmb2JgEwIQgAAEIHDlBJD1q0sAEdGRpShhFlUJdbXuWJ/vy3lhl2UY+piqX0l7kFpZWvH+0T3qNc0zUhvlUNU7tLtgEJMUyixyjEPizjIqy2Dunx7dbVW/6Z/ql4+g6Jt+Us1Mv+ajN+3quEYkXOqsmXl+qt+DdGeuwwx6YKbKJoZarKv6q6VJJnbDbHgSjd0vHeAVAhCAAAQgcOUEkPUrTwC6DwEIQAACEIAABCCwXQLI+nbHhsggAAEIQAACEIAABK6cALJ+5QlA9yEAAQhAAAIQgAAEtksAWd/u2BAZBCAAAQhAAAIQgMCVE0DWrzwB6D4EIAABCEAAAhCAwHYJIOvbHRsigwAEIAABCEAAAhC4cgLI+pUnAN2HAAQgAAEIQAACENguAWR9u2NDZBCAAAQgAAEIQAACV04AWb/yBKD7EIAABCAAAQhAAALbJYCsb3dsiAwCEIAABCAAAQhA4MoJIOtXngB0HwIQgAAEIAABCEBguwSQ9e2ODZFBAAIQgAAEIAABCFw5AWT9yhOA7kMAAhCAAAQgAAEIbJcAsr7dsSEyCEAAAhCAAAQgAIErJ4CsX3kC0H0IQAACEIAABCAAge0SQNa3OzZEBgEIQAACEIAABCBwxQR+/p/P7u9++FWTwM7u9VbP/zAgB8gBcoAcIAfIAXKAHCAHXicHvKj/+F8frZaH7UrWm6XYCQEIQAACEIAABCAAAQi8OgFk/dWR0yAEIAABCEAAAhCAAASWEUDWl3GiFAQgAAEIQAACEIAABF6dALL+6shpEAIQgAAEIAABCEAAAssIIOvLOFEKAhCAAAQgAAEIQAACr04AWX915DQIAQhAAAIQgAAEIACBZQSQ9WWcKAUBCEAAAhCAAAQgAIFXJ/D/AU55P4B94+uAAAAAAElFTkSuQmCC"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2.Implement a Python program to generate all sentences where subject is in [\"Americans\", \"Indians\"] and verb is in [\"Play\", \"watch\"] and the object is in [\"Baseball\",\"cricket\"].\n",
    "\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Americans play Baseball.\n",
      "Americans play Cricket.\n",
      "Americans watch Baseball.\n",
      "Americans watch Cricket.\n",
      "Indians play Baseball.\n",
      "Indians play Cricket.\n",
      "Indians watch Baseball.\n",
      "Indians watch Cricket.\n"
     ]
    }
   ],
   "source": [
    "subjects=[\"Americans\",\"Indians\"]\n",
    "verbs=[\"play\",\"watch\"]\n",
    "objects=[\"Baseball\",\"Cricket\"]\n",
    "\n",
    "for s in subjects:\n",
    "    for v in verbs:\n",
    "        for o in objects:\n",
    "            print(f'{s} {v} {o}.')"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 2:\n",
    "1. Write a function so that the columns of the output matrix are powers of the input vector.\n",
    "\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ascending:\n",
      "[[1, 1, 1], [1, 2, 4], [1, 3, 9], [1, 4, 16], [1, 5, 25]]\n",
      "Descending:\n",
      "[[1, 1, 1, 1, 1], [16, 8, 4, 2, 1], [81, 27, 9, 3, 1], [256, 64, 16, 4, 1], [625, 125, 25, 5, 1]]\n"
     ]
    }
   ],
   "source": [
    "def generate_vandermonde_matrix(l, p=5, isdescending=False):\n",
    "    if isdescending:\n",
    "        return [[i**j for j in range(p, -1, -1)] for i in l]\n",
    "    return [[i**j for j in range(p+1)] for i in l]\n",
    "\n",
    "print('Ascending:')\n",
    "print(generate_vandermonde_matrix([1,2,3,4,5], 2))\n",
    "print('Descending:')\n",
    "print(generate_vandermonde_matrix([1,2,3,4,5], 4, isdescending=True))"
   ]
  },
  {
   "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}