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| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "markdown", |
| 5 | + "metadata": {}, |
| 6 | + "source": [ |
| 7 | + "# Sum of Two Arrays\n", |
| 8 | + "Two random integer arrays/lists have been given as ARR1 and ARR2 of size N and M respectively. Both the arrays/lists contain numbers from 0 to 9(i.e. single digit integer is present at every index). The idea here is to represent each array/list as an integer in itself of digits N and M.<br>\n", |
| 9 | + "You need to find the sum of both the input arrays/list treating them as two integers and put the result in another array/list i.e. output array/list will also contain only single digit at every index.<br>\n", |
| 10 | + "Note:The sizes N and M can be different. <br>\n", |
| 11 | + "<br>\n", |
| 12 | + "Output array/list(of all 0s) has been provided as a function argument. Its size will always be one more than the size of the bigger array/list. Place 0 at the 0th index if there is no carry. <br>\n", |
| 13 | + "<br>\n", |
| 14 | + "No need to print the elements of the output array/list.<br>\n", |
| 15 | + "<br>\n", |
| 16 | + "Input format :<br>\n", |
| 17 | + "The first line contains an Integer 't' which denotes the number of test cases or queries to be run. Then the test cases follow.<br>\n", |
| 18 | + "<br>\n", |
| 19 | + "First line of each test case or query contains an integer 'N' representing the size of the first array/list.<br>\n", |
| 20 | + "<br>\n", |
| 21 | + "Second line contains 'N' single space separated integers representing the elements of the first array/list.<br>\n", |
| 22 | + "<br>\n", |
| 23 | + "Third line contains an integer 'M' representing the size of the second array/list.<br>\n", |
| 24 | + "<br>\n", |
| 25 | + "Fourth line contains 'M' single space separated integers representing the elements of the second array/list.<br>\n", |
| 26 | + "<br>\n", |
| 27 | + "Output Format :<br>\n", |
| 28 | + "For each test case, print the required sum of the arrays/list in a row, separated by a single space.<br>\n", |
| 29 | + "<br>\n", |
| 30 | + "Output for every test case will be printed in a separate line.<br>\n", |
| 31 | + "<br>\n", |
| 32 | + "Constraints :<br>\n", |
| 33 | + "1 <= t <= 10^2<br>\n", |
| 34 | + "0 <= N <= 10^5<br>\n", |
| 35 | + "0 <= M <= 10^5<br>\n", |
| 36 | + "Time Limit: 1 sec <br>\n", |
| 37 | + "Sample Input 1:<br>\n", |
| 38 | + "1<br>\n", |
| 39 | + "3<br>\n", |
| 40 | + "6 2 4<br>\n", |
| 41 | + "3<br>\n", |
| 42 | + "7 5 6<br>\n", |
| 43 | + "Sample Output 1:<br>\n", |
| 44 | + "1 3 8 0<br>\n", |
| 45 | + "Sample Input 2:<br>\n", |
| 46 | + "2<br>\n", |
| 47 | + "3<br>\n", |
| 48 | + "8 5 2<br>\n", |
| 49 | + "2<br>\n", |
| 50 | + "1 3<br>\n", |
| 51 | + "4<br>\n", |
| 52 | + "9 7 6 1<br>\n", |
| 53 | + "3<br>\n", |
| 54 | + "4 5 9<br>\n", |
| 55 | + "Sample Output 2:<br>\n", |
| 56 | + "0 8 6 5<br>\n", |
| 57 | + "1 0 2 2 0" |
| 58 | + ] |
| 59 | + }, |
| 60 | + { |
| 61 | + "cell_type": "code", |
| 62 | + "execution_count": null, |
| 63 | + "metadata": {}, |
| 64 | + "outputs": [], |
| 65 | + "source": [ |
| 66 | + "def sumArray(arr1,n,arr2,m,output):\n", |
| 67 | + " i=n-1\n", |
| 68 | + " j=m-1\n", |
| 69 | + " carry=0\n", |
| 70 | + " l=max(n,m)+1\n", |
| 71 | + " while i>=0 and j>=0:\n", |
| 72 | + " num=arr1[i]+arr2[j]+carry\n", |
| 73 | + " s=num%10\n", |
| 74 | + " carry=num//10\n", |
| 75 | + " output[l-1]=s\n", |
| 76 | + " l=l-1\n", |
| 77 | + " i=i-1\n", |
| 78 | + " j=j-1\n", |
| 79 | + " while i>=0:\n", |
| 80 | + " num=arr1[i]+carry\n", |
| 81 | + " s=num%10\n", |
| 82 | + " carry=num//10\n", |
| 83 | + " output[l-1]=s\n", |
| 84 | + " l=l-1\n", |
| 85 | + " i=i-1\n", |
| 86 | + " while j>=0:\n", |
| 87 | + " num=arr2[j]+carry\n", |
| 88 | + " s=num%10\n", |
| 89 | + " carry=num//10\n", |
| 90 | + " output[l-1]=s\n", |
| 91 | + " l=l-1\n", |
| 92 | + " j=j-1\n", |
| 93 | + " if carry!=0:\n", |
| 94 | + " output[0]=carry\n", |
| 95 | + " \n", |
| 96 | + " \n", |
| 97 | + " \n", |
| 98 | + "t=int(input())\n", |
| 99 | + "for i in range(t):\n", |
| 100 | + " n=int(input())\n", |
| 101 | + " if n==0:\n", |
| 102 | + " print(0)\n", |
| 103 | + " break\n", |
| 104 | + " arr1=[int(x) for x in input().split()]\n", |
| 105 | + " m=int(input())\n", |
| 106 | + " arr2=[int(x) for x in input().split()]\n", |
| 107 | + " size=max(n,m)+1\n", |
| 108 | + " output=[0 for i in range(size)]\n", |
| 109 | + " sumArray(arr1,n,arr2,m,output)\n", |
| 110 | + " print(*output)\n", |
| 111 | + " print()" |
| 112 | + ] |
| 113 | + } |
| 114 | + ], |
| 115 | + "metadata": { |
| 116 | + "kernelspec": { |
| 117 | + "display_name": "Python 3", |
| 118 | + "language": "python", |
| 119 | + "name": "python3" |
| 120 | + }, |
| 121 | + "language_info": { |
| 122 | + "codemirror_mode": { |
| 123 | + "name": "ipython", |
| 124 | + "version": 3 |
| 125 | + }, |
| 126 | + "file_extension": ".py", |
| 127 | + "mimetype": "text/x-python", |
| 128 | + "name": "python", |
| 129 | + "nbconvert_exporter": "python", |
| 130 | + "pygments_lexer": "ipython3", |
| 131 | + "version": "3.8.6" |
| 132 | + } |
| 133 | + }, |
| 134 | + "nbformat": 4, |
| 135 | + "nbformat_minor": 4 |
| 136 | +} |
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