Question: Write a program to rotate an array arr[], having a size ‘n’ by ‘d’ elements?
Input: arr[] = { 4, 8, 15, 16, 23, 42, 99 }, d = 3
Output: 16, 23, 42, 99, 4, 8, 15
Let us suppose our array is in this way:
On rotating the array by 3 elements, it should look like:
We can do this by rotating the array one element at a time. We discussed it in this post.
We can also use the REVERSAL Algorithm to rotate the array. This can be done as:-
rotate(arr[], d, n) { reverse(arr[], 1, d) ; reverse(arr[], d + 1, n); reverse(arr[], l, n); }
Let AB are the two parts of the input array where A = arr[0..d-1] and B = arr[d..n-1]. The idea of the algorithm is:
Reverse A to get ArB. /* Ar is reverse of A */
Reverse B to get ArBr. /* Br is reverse of B */
Reverse all to get (ArBr) r = BA.
For arr[] = [1, 2, 3, 4, 5, 6, 7], d =2 and n = 7
A = [1, 2] and B = [3, 4, 5, 6, 7]
Reverse A, we get ArB = [2, 1, 3, 4, 5, 6, 7]
Reverse B, we get ArBr = [2, 1, 7, 6, 5, 4, 3]
Reverse all, we get (ArBr)r = [3, 4, 5, 6, 7, 1, 2]
Here is the implementation of the same:-
//Function to reverse arr[] from index start to end void reverseArray(int arr[], int start, int end) { int i; int temp; while(start < end) { temp = arr[start]; arr[start] = arr[end]; arr[end] = temp; start++; end--; } } //Function to left rotate arr[] of size n by d void leftRotate(int arr[], int d, int n) { reverseArray(arr, 0, d-1); reverseArray(arr, d, n-1); reverseArray(arr, 0, n-1); } // Function to print an array void printArray(int arr[], int size) { int i; for(i = 0; i < size; i++) printf("%d ", arr[i]); printf("%\n "); } //Driver program to test above functions int main(void) { int arr[] = {4, 8, 15, 16, 23, 42, 99}; leftRotate(arr, 3, 7); printArray(arr, 7); return 0; }