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| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "code", |
| 5 | + "execution_count": 1, |
| 6 | + "metadata": {}, |
| 7 | + "outputs": [ |
| 8 | + { |
| 9 | + "name": "stdout", |
| 10 | + "output_type": "stream", |
| 11 | + "text": [ |
| 12 | + "Sorted array is:\n", |
| 13 | + "1\n", |
| 14 | + "5\n", |
| 15 | + "7\n", |
| 16 | + "8\n", |
| 17 | + "9\n", |
| 18 | + "10\n" |
| 19 | + ] |
| 20 | + } |
| 21 | + ], |
| 22 | + "source": [ |
| 23 | + "def merge(arr, l, m, r): \n", |
| 24 | + " n1 = m - l + 1\n", |
| 25 | + " n2 = r- m \n", |
| 26 | + " \n", |
| 27 | + " # create temp arrays \n", |
| 28 | + " L = [0] * (n1) \n", |
| 29 | + " R = [0] * (n2) \n", |
| 30 | + " \n", |
| 31 | + " # Copy data to temp arrays L[] and R[] \n", |
| 32 | + " for i in range(0 , n1): \n", |
| 33 | + " L[i] = arr[l + i] \n", |
| 34 | + " \n", |
| 35 | + " for j in range(0 , n2): \n", |
| 36 | + " R[j] = arr[m + 1 + j] \n", |
| 37 | + " \n", |
| 38 | + " # Merge the temp arrays back into arr[l..r] \n", |
| 39 | + " i = 0 # Initial index of first subarray \n", |
| 40 | + " j = 0 # Initial index of second subarray \n", |
| 41 | + " k = l # Initial index of merged subarray \n", |
| 42 | + " \n", |
| 43 | + " while i < n1 and j < n2 : \n", |
| 44 | + " if L[i] <= R[j]: \n", |
| 45 | + " arr[k] = L[i] \n", |
| 46 | + " i += 1\n", |
| 47 | + " else: \n", |
| 48 | + " arr[k] = R[j] \n", |
| 49 | + " j += 1\n", |
| 50 | + " k += 1\n", |
| 51 | + " \n", |
| 52 | + " # Copy the remaining elements of L[], if there \n", |
| 53 | + " # are any \n", |
| 54 | + " while i < n1: \n", |
| 55 | + " arr[k] = L[i] \n", |
| 56 | + " i += 1\n", |
| 57 | + " k += 1\n", |
| 58 | + " \n", |
| 59 | + " # Copy the remaining elements of R[], if there \n", |
| 60 | + " # are any \n", |
| 61 | + " while j < n2: \n", |
| 62 | + " arr[k] = R[j] \n", |
| 63 | + " j += 1\n", |
| 64 | + " k += 1\n", |
| 65 | + " \n", |
| 66 | + "# l is for left index and r is right index of the \n", |
| 67 | + "# sub-array of arr to be sorted \n", |
| 68 | + "def mergeSort(arr,l,r): \n", |
| 69 | + " if l < r: \n", |
| 70 | + " \n", |
| 71 | + " # Same as (l+r)/2, but avoids overflow for \n", |
| 72 | + " # large l and h \n", |
| 73 | + " m = (l+(r-1))/2\n", |
| 74 | + " \n", |
| 75 | + " # Sort first and second halves \n", |
| 76 | + " mergeSort(arr, l, m) \n", |
| 77 | + " mergeSort(arr, m+1, r) \n", |
| 78 | + " merge(arr, l, m, r) \n", |
| 79 | + " \n", |
| 80 | + " \n", |
| 81 | + "# Driver code to test above \n", |
| 82 | + "arr = [12, 11, 13, 5, 6, 7] \n", |
| 83 | + "n = len(arr) \n", |
| 84 | + "print (\"Given array is\") \n", |
| 85 | + "for i in range(n): \n", |
| 86 | + " print (\"%d\" %arr[i]), \n", |
| 87 | + " \n", |
| 88 | + "mergeSort(arr,0,n-1) \n", |
| 89 | + "print (\"\\n\\nSorted array is\") \n", |
| 90 | + "for i in range(n): \n", |
| 91 | + " print (\"%d\" %arr[i]), " |
| 92 | + ] |
| 93 | + } |
| 94 | + ], |
| 95 | + "metadata": { |
| 96 | + "kernelspec": { |
| 97 | + "display_name": "Python 3", |
| 98 | + "language": "python", |
| 99 | + "name": "python3" |
| 100 | + }, |
| 101 | + "language_info": { |
| 102 | + "codemirror_mode": { |
| 103 | + "name": "ipython", |
| 104 | + "version": 3 |
| 105 | + }, |
| 106 | + "file_extension": ".py", |
| 107 | + "mimetype": "text/x-python", |
| 108 | + "name": "python", |
| 109 | + "nbconvert_exporter": "python", |
| 110 | + "pygments_lexer": "ipython3", |
| 111 | + "version": "3.7.4" |
| 112 | + } |
| 113 | + }, |
| 114 | + "nbformat": 4, |
| 115 | + "nbformat_minor": 4 |
| 116 | +} |
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