Problem Statement

Given an array A of N non-negative numbers and you are also given non-negative number B.

You need to find the number of subarrays in A having sum less than B. We may assume that there is no overflow.

Problem Constraints

1 <= N <= 104

1 <= A[i] <= 100

1 <= B <= 108

Input Format

First argument is an integer array A.

Second argument is an integer B.

Output Format

Return an integer denoting the number of subarrays in A having sum less than B.

Example Input

Input 1:

 A = [2, 5, 6]
 B = 10

Input 2:

 A = [1, 11, 2, 3, 15]
 B = 10

Example Output

Output 1:

 4