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Given an array(0-based indexing), you have to find the max sum of i*A[i] where A[i] is the element at index i in the array. The only operation allowed is to rotate(clock-wise or counter clock-wise) the array any number of times.

**Example 1:**

**Input:
**N = 4
A[] = {8,3,1,2}
**Output: **29**
Explanation: **Above the configuration
possible by rotating elements are
3 1 2 8 here sum is 3*0+1*1+2*2+8*3 = 29
1 2 8 3 here sum is 1*0+2*1+8*2+3*3 = 27
2 8 3 1 here sum is 2*0+8*1+3*2+1*3 = 17
8 3 1 2 here sum is 8*0+3*1+1*2+2*3 = 11
Here the max sum is 29

**Your Task:**

Your task is to complete the function **max_sum** which takes two arguments which is the array A [ ] and its size and returns an integer value denoting the required max sum.

**Expected Time Complexity: **O(N).

**Expected Auxiliary Space: **O(1).

**Constraints:**

1<=N<=10^{4}

1<=A[]<1000

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Max sum in the configuration

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