Given an array A of n positive integers. Calculate the number of subarray with sum larger or equal to k.
### Input
- The first line contains 2 integer n,k.
- The second line contains n space-separated integers Ai.
### Output
- Print an integer, the number of subarray with sum larger or equal to k.
### Constraints
- 1≤n≤105.
- 1≤Ai,k≤109.
### Example
Input:
5612145
Output:
6