Given a singly linked list of size N. The task is to rotate the linked list counter-clockwise by k nodes, where k is a given positive integer smaller than or equal to length of the linked list.

Example 1:

Input:
N = 8
value[] = {1,2,3,4,5,6,7,8}
k = 4
Output: 5 6 7 8 1 2 3 4
Explanation:

Example 2:

Input:
N = 5
value[] = {2,4,7,8,9}
k = 3
Output: 8 9 2 4 7
Explanation:

Your Task:
You don't need to read input or print anything. Your task is to complete the function rotate() which takes a head reference as the first argument and k as the second argument, and returns the head of the rotated linked list.

Expected Time Complexity: O(N).
Expected Auxiliary Space: O(1).

Constraints:
1 <= N <= 10³
1 <= k <= N