|
| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "markdown", |
| 5 | + "metadata": {}, |
| 6 | + "source": [ |
| 7 | + "## Hackathon\n", |
| 8 | + "## Date: 14 May 2019" |
| 9 | + ] |
| 10 | + }, |
| 11 | + { |
| 12 | + "cell_type": "code", |
| 13 | + "execution_count": null, |
| 14 | + "metadata": {}, |
| 15 | + "outputs": [], |
| 16 | + "source": [] |
| 17 | + }, |
| 18 | + { |
| 19 | + "cell_type": "markdown", |
| 20 | + "metadata": {}, |
| 21 | + "source": [ |
| 22 | + "## Problem1:\n", |
| 23 | + "For a given integer N, find the total number of Non - Prime Factors in the range (1, N) (both exclusive) that do not contain the digit 0\n", |
| 24 | + "### Test Cases:\n", |
| 25 | + "nonPrimeFactorsCount( 100 ) -> 2\n", |
| 26 | + "nonPrimeFactorsCount( 50 ) -> 1" |
| 27 | + ] |
| 28 | + }, |
| 29 | + { |
| 30 | + "cell_type": "code", |
| 31 | + "execution_count": 104, |
| 32 | + "metadata": {}, |
| 33 | + "outputs": [ |
| 34 | + { |
| 35 | + "name": "stdout", |
| 36 | + "output_type": "stream", |
| 37 | + "text": [ |
| 38 | + "non prime numbers:- [4, 25]\n", |
| 39 | + "\n", |
| 40 | + "non prime numbers:- [25]\n", |
| 41 | + "\n" |
| 42 | + ] |
| 43 | + } |
| 44 | + ], |
| 45 | + "source": [ |
| 46 | + "def num(n):\n", |
| 47 | + " a=[]\n", |
| 48 | + " for i in range (1,n):\n", |
| 49 | + " if(n%i==0):\n", |
| 50 | + " a.append(i)\n", |
| 51 | + " b=[]\n", |
| 52 | + " for i in range(1,len(a)):\n", |
| 53 | + " \n", |
| 54 | + " sum=0\n", |
| 55 | + " for j in range(1,a[i]+1):\n", |
| 56 | + " \n", |
| 57 | + " \n", |
| 58 | + " if(a[i]%j==0):\n", |
| 59 | + " sum=sum+1\n", |
| 60 | + " if(sum!=2):\n", |
| 61 | + " if(a[i]%10!=0):\n", |
| 62 | + " b.append(a[i])\n", |
| 63 | + " print(\"non prime numbers:-\",b)\n", |
| 64 | + " return ''\n", |
| 65 | + "print(num(100))\n", |
| 66 | + "print(num(50))" |
| 67 | + ] |
| 68 | + }, |
| 69 | + { |
| 70 | + "cell_type": "code", |
| 71 | + "execution_count": null, |
| 72 | + "metadata": {}, |
| 73 | + "outputs": [], |
| 74 | + "source": [] |
| 75 | + }, |
| 76 | + { |
| 77 | + "cell_type": "markdown", |
| 78 | + "metadata": {}, |
| 79 | + "source": [ |
| 80 | + "## Problem2:\n", |
| 81 | + "For a given integer N. Find the least positive integer X made up of only 9's and 0's, such that, X is a multiple of N.X is made up of one or more occurrences of 9 and zero or more occurrences of 0.\n", |
| 82 | + "### Test Cases:\n", |
| 83 | + "* Multiple( 5 ) -> 90\n", |
| 84 | + "* Multiple ( 7 ) -> 9009\n", |
| 85 | + "* Multiple( 1 ) -> 9" |
| 86 | + ] |
| 87 | + }, |
| 88 | + { |
| 89 | + "cell_type": "code", |
| 90 | + "execution_count": 6, |
| 91 | + "metadata": {}, |
| 92 | + "outputs": [ |
| 93 | + { |
| 94 | + "ename": "NameError", |
| 95 | + "evalue": "name 'n' is not defined", |
| 96 | + "output_type": "error", |
| 97 | + "traceback": [ |
| 98 | + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", |
| 99 | + "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", |
| 100 | + "\u001b[1;32m<ipython-input-6-9eccc59bd0da>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m 12\u001b[0m \u001b[0ma\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcheck\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m9\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 13\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mtrue\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 14\u001b[1;33m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfinteger\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m5\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 15\u001b[0m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfinteger\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m7\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 16\u001b[0m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfinteger\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", |
| 101 | + "\u001b[1;32m<ipython-input-6-9eccc59bd0da>\u001b[0m in \u001b[0;36mfinteger\u001b[1;34m(n)\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mfinteger\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m*\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m100000000\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[0mcheck\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 4\u001b[0m \u001b[1;32mif\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m!=\u001b[0m\u001b[1;36m0\u001b[0m \u001b[1;32mand\u001b[0m \u001b[0mi\u001b[0m\u001b[1;33m%\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m==\u001b[0m\u001b[1;36m0\u001b[0m \u001b[1;32mand\u001b[0m \u001b[0mi\u001b[0m\u001b[1;33m%\u001b[0m\u001b[1;36m10\u001b[0m\u001b[1;33m==\u001b[0m\u001b[1;36m0\u001b[0m \u001b[1;32mand\u001b[0m \u001b[0mi\u001b[0m\u001b[1;33m%\u001b[0m\u001b[1;36m9\u001b[0m\u001b[1;33m==\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 5\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mi\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", |
| 102 | + "\u001b[1;32m<ipython-input-6-9eccc59bd0da>\u001b[0m in \u001b[0;36mcheck\u001b[1;34m(c)\u001b[0m\n\u001b[0;32m 8\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 9\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mcheck\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mc\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 10\u001b[1;33m \u001b[1;32mfor\u001b[0m \u001b[0m_\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m10000\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 11\u001b[0m \u001b[0ma\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mc\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 12\u001b[0m \u001b[0ma\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcheck\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m9\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", |
| 103 | + "\u001b[1;31mNameError\u001b[0m: name 'n' is not defined" |
| 104 | + ] |
| 105 | + } |
| 106 | + ], |
| 107 | + "source": [ |
| 108 | + "def finteger(n):\n", |
| 109 | + " for i in range(n*2,100000000,n):\n", |
| 110 | + " check(i)\n", |
| 111 | + " if(i!=0 and i%n==0 and i%10==0 and i%9==0):\n", |
| 112 | + " return i\n", |
| 113 | + " else:\n", |
| 114 | + " return\n", |
| 115 | + " \n", |
| 116 | + "def check(c):\n", |
| 117 | + " for _ in range(2*n,10000,n): \n", |
| 118 | + " a=[c]\n", |
| 119 | + " a.check(9)\n", |
| 120 | + " return true\n", |
| 121 | + "print(finteger(5))\n", |
| 122 | + "print(finteger(7))\n", |
| 123 | + "print(finteger(1))" |
| 124 | + ] |
| 125 | + }, |
| 126 | + { |
| 127 | + "cell_type": "code", |
| 128 | + "execution_count": null, |
| 129 | + "metadata": {}, |
| 130 | + "outputs": [], |
| 131 | + "source": [] |
| 132 | + } |
| 133 | + ], |
| 134 | + "metadata": { |
| 135 | + "kernelspec": { |
| 136 | + "display_name": "Python 3", |
| 137 | + "language": "python", |
| 138 | + "name": "python3" |
| 139 | + }, |
| 140 | + "language_info": { |
| 141 | + "codemirror_mode": { |
| 142 | + "name": "ipython", |
| 143 | + "version": 3 |
| 144 | + }, |
| 145 | + "file_extension": ".py", |
| 146 | + "mimetype": "text/x-python", |
| 147 | + "name": "python", |
| 148 | + "nbconvert_exporter": "python", |
| 149 | + "pygments_lexer": "ipython3", |
| 150 | + "version": "3.7.3" |
| 151 | + } |
| 152 | + }, |
| 153 | + "nbformat": 4, |
| 154 | + "nbformat_minor": 2 |
| 155 | +} |
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