Given an array A of length n consisting of integers. Count the number of contiguous subsequences with a sum equal to x.
### Input
- The first line contains two integers, n and x.
- The second line contains n integers Ai.
### Output
- Print the number of subsequences that satisfy the condition.
### Constraints
- 1≤n≤105.
- −109≤Ai,x≤109.
### Example
Input:
4514-55
Output:
3