Merge Sort program in the data structure
Data Structure Sorting (Article) Sorting (Program)
859Program:
/* a[] is the array, p is starting index, that is 0, and r is the last index of array. */ #include // lets take a[5] = {32, 45, 67, 2, 7} as the array to be sorted. // merge sort function void mergeSort(int a[], int p, int r) { int q; if(p < r) { q = (p + r) / 2; mergeSort(a, p, q); mergeSort(a, q+1, r); merge(a, p, q, r); } } // function to merge the subarrays void merge(int a[], int p, int q, int r) { int b[5]; //same size of a[] int i, j, k; k = 0; i = p; j = q + 1; while(i <= q && j <= r) { if(a[i] < a[j]) { b[k++] = a[i++]; // same as b[k]=a[i]; k++; i++; } else { b[k++] = a[j++]; } } while(i <= q) { b[k++] = a[i++]; } while(j <= r) { b[k++] = a[j++]; } for(i=r; i >= p; i--) { a[i] = b[--k]; // copying back the sorted list to a[] } } // function to print the array void printArray(int a[], int size) { int i; for (i=0; i < size; i++) { printf("%d ", a[i]); } printf("\n"); } int main() { int arr[] = {32, 45, 67, 2, 7}; int len = sizeof(arr)/sizeof(arr[0]); printf("Given array: \n"); printArray(arr, len); // calling merge sort mergeSort(arr, 0, len - 1); printf("\nSorted array: \n"); printArray(arr, len); return 0; }
Output:
Given array: 32 45 67 2 7 Sorted array: 2 7 32 45 67
Explanation:
Merge Sort follows the rule of Divide and Conquer to sort a given set of numbers/elements, recursively, hence consuming less time.
In the last two tutorials, we learned about Selection Sort and Insertion Sort, both of which have a worst-case running time of O(n2)
. As the size of input grows, insertion and selection sort can take a long time to run.
Merge sort , on the other hand, runs in O(n*log n)
time in all the cases.
Before jumping on to, how merge sort works and it's implementation, first lets understand what is the rule of Divide and Conquer?
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