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| 1 | +//ALGO FOR MERGE SORT |
| 2 | +/* |
| 3 | +Declare an array Arr of length N |
| 4 | +If N=1, Arr is already sorted |
| 5 | +If N>1, |
| 6 | +Left = 0, right = N-1 |
| 7 | +Find middle = (left + right)/2 |
| 8 | +Call merge_sort(Arr,left,middle) =>sort first half recursively |
| 9 | +Call merge_sort(Arr,middle+1,right) => sort second half recursively |
| 10 | +Call merge(Arr, left, middle, right) to merge sorted arrays in above steps. |
| 11 | +Exit |
| 12 | +*/ |
| 13 | + |
| 14 | +//CODE |
| 15 | +#include <iostream> |
| 16 | +using namespace std; |
| 17 | +void merge(int *, int, int, int); |
| 18 | +void merge_sort(int *arr, int low, int high) |
| 19 | +{ |
| 20 | + int mid; |
| 21 | + if (low < high) |
| 22 | + { |
| 23 | + //divide the array at mid and sort independently using merge sort |
| 24 | + mid = (low + high) / 2; |
| 25 | + merge_sort(arr, low, mid); |
| 26 | + merge_sort(arr, mid + 1, high); |
| 27 | + //merge or conquer sorted arrays |
| 28 | + merge(arr, low, high, mid); |
| 29 | + } |
| 30 | +} |
| 31 | +// Merge sort |
| 32 | +void merge(int *arr, int low, int high, int mid) |
| 33 | +{ |
| 34 | + int i, j, k, c[50]; |
| 35 | + i = low; |
| 36 | + k = low; |
| 37 | + j = mid + 1; |
| 38 | + while (i <= mid && j <= high) |
| 39 | + { |
| 40 | + if (arr[i] < arr[j]) |
| 41 | + { |
| 42 | + c[k] = arr[i]; |
| 43 | + k++; |
| 44 | + i++; |
| 45 | + } |
| 46 | + else |
| 47 | + { |
| 48 | + c[k] = arr[j]; |
| 49 | + k++; |
| 50 | + j++; |
| 51 | + } |
| 52 | + } |
| 53 | + while (i <= mid) |
| 54 | + { |
| 55 | + c[k] = arr[i]; |
| 56 | + k++; |
| 57 | + i++; |
| 58 | + } |
| 59 | + while (j <= high) |
| 60 | + { |
| 61 | + c[k] = arr[j]; |
| 62 | + k++; |
| 63 | + j++; |
| 64 | + } |
| 65 | + for (i = low; i < k; i++) |
| 66 | + { |
| 67 | + arr[i] = c[i]; |
| 68 | + } |
| 69 | +} |
| 70 | +// read input array and call mergesort |
| 71 | +int main() |
| 72 | +{ |
| 73 | + int myarray[30], num; |
| 74 | + cout << "Enter number of elements to be sorted:"; |
| 75 | + cin >> num; |
| 76 | + cout << "Enter " << num << " elements to be sorted:"; |
| 77 | + for (int i = 0; i < num; i++) |
| 78 | + { |
| 79 | + cin >> myarray[i]; |
| 80 | + } |
| 81 | + merge_sort(myarray, 0, num - 1); |
| 82 | + cout << "Sorted array\n"; |
| 83 | + for (int i = 0; i < num; i++) |
| 84 | + { |
| 85 | + cout << myarray[i] << "\t"; |
| 86 | + } |
| 87 | +} |
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