396. Rotate Function
Given an array of integers
Assume
Calculate the maximum value of
Note: n is guaranteed to be less than 105.
Example:
A
and let n to be its length. Assume
Bk
to be an array obtained by rotating the array A
k positions clock-wise, we define a "rotation function" F
on A
as follow: F(k) = 0 * Bk[0] + 1 * Bk[1] + ... + (n-1) * Bk[n-1]
. Calculate the maximum value of
F(0), F(1), ..., F(n-1)
. Note: n is guaranteed to be less than 105.
Example:
A = [4, 3, 2, 6]
F(0) = (0 * 4) + (1 * 3) + (2 * 2) + (3 * 6) = 0 + 3 + 4 + 18 = 25
F(1) = (0 * 6) + (1 * 4) + (2 * 3) + (3 * 2) = 0 + 4 + 6 + 6 = 16
F(2) = (0 * 2) + (1 * 6) + (2 * 4) + (3 * 3) = 0 + 6 + 8 + 9 = 23
F(3) = (0 * 3) + (1 * 2) + (2 * 6) + (3 * 4) = 0 + 2 + 12 + 12 = 26
So the maximum value of F(0), F(1), F(2), F(3) is F(3) = 26.
public class Solution {
public int maxRotateFunction(int[] A) {
if(A.length==0)
return 0;
int max = Integer.MIN_VALUE;
for(int i=0;i<A.length;i++)
if(F(A,i)>max)
max = F(A,i);
return max;
}
public int F(int[] A, int k) {
int res = 0, count = 0;
for (int i = A.length - k; i < A.length; i++)
res += A[i] * count++;
for (int i = 0; i < A.length - k; i++)
res += A[i] * count++;
return res;
}
}