You are given an array A of n integers. Count the number of subarrays with non-negative sum.
### Input
- The first line contains an integer n.
- The second line contains n integers Ai.
### Output
- Print the number of subarrays.
### Constraints
- 1≤n≤105.
- 0≤|Ai|≤109.
### Example
Input:
31−21
Output:
3