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Largest Sum Subarray of Size at least K
##### Submissions: 6120   Accuracy: 30.1%   Difficulty: Medium   Marks: 4

Given an array and a number k, find the largest sum of the subarray containing at least k numbers. It may be assumed that the size of array is at-least k.

Input:
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. Each test case contains an integer n denoting the size of the array. Then the following line contains n space separated integers. The last line of the input contains the number k.

Output:
Print the value of the largest sum of the subarray containing at least k numbers.

Constraints:
1<=T<=10^5
1<=n<=10^5
1<=a[i]<=10^5
1<=k<=n

Example:
Input:

2
4
-4 -2 1 -3
2
6
1 1 1 1 1 1
2

Output:
-1
6

#### ** For More Input/Output Examples Use 'Expected Output' option **

Contributor: Ayush Govil
Author: Ayush Govil 1

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