Given a rod of length N inches and an array of prices, price[] that contains prices of all pieces of size smaller than N. Determine the maximum value obtainable by cutting up the rod and selling the pieces.

Example 1:

Input:
N = 8
Price[] = {1, 5, 8, 9, 10, 17, 17, 20}
Output:
22
Explanation:
The maximum obtainable value is 22 by
cutting in two pieces of lengths 2 and 
6, i.e., 5+17=22.

Example 2:

Input:
N=8
Price[] = {3, 5, 8, 9, 10, 17, 17, 20}
Output: 24
Explanation: 
The maximum obtainable value is 
24 by cutting the rod into 8 pieces 
of length 1, i.e, 8*3=24.

Your Task:
You don't need to read input or print anything. Your task is to complete the function cutRod() which takes the array A[] and its size N as inputs and returns the maximum price obtainable.

Expected Time Complexity: O(N²)
Expected Auxiliary Space: O(N)

Constraints:
1 ≤ N ≤ 1000
1 ≤ A_i ≤ 10⁵