551. Maximum Subarray Sum II

0

Hard

Given an array of n integers, find the maximum sum of values in a contiguous subarray with a length between a and b.

Input Format

The first line of input contains three integers: n, a, and b, representing the size of the array and the minimum and maximum subarray length, respectively.
The second line of input contains n integers x1, x2, ..., xn, representing the array values.

Output Format

Print a single integer, the maximum subarray sum.

Example

Input

4 1 3 1 2 2 1

Output

5

Constraints

1<= N <= 2.105
1<= a<= b<= N
-109<= nums[i] <= 109
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