Problem5668--Number of Segments with Big Sum

5668: Number of Segments with Big Sum

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Time Limit : 1.000 sec  Memory Limit : 256 MiB

Description

Given an array of $n$ integers $a_i$. Let's say that the segment of this array $a[l,\ r]\ (1≤l≤r≤n)$ is good if the sum of elements on this segment is at least $s$. 
Your task is to find the number of good segments.
求子段和大于等于s的子段数量

Input

The first line contains integers $n,\ s\ (1≤n≤10^5,\ 1≤s≤10^{18})$. 
The second line contains integers $a_i\ (1≤a_i≤10^9)$.

Output

Print one integer, the number of good segments.

Sample 1 Input

7 20
2 6 4 3 6 8 9

Sample 1 Output

9

Sample 2 Input

4 3
5 5 5 5

Sample 2 Output

10

HINT

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Source/Category

基础算法 4.5.双指针