Count Non-Negative SubarraysEasy

Count Non-Negative Subarrays

EasyPractice library · +10 XPsliding windowprefix sumsarrays

Given an array of N integers, count the number of contiguous subarrays whose sum is non-negative (greater than or equal to zero).

Input

The first line contains an integer N. The second line contains N space-separated integers representing the array elements.

Output

Print a single integer: the count of non-negative sum subarrays.

Constraints

1 <= N <= 1000. Each array element is between -1000 and 1000.

Time limit 1 s (native code; slower languages get more)Memory 256 MB15 hidden tests

Example 1

Input
5
1 -2 3 4 -5
Output
11

Subarrays: [1], [1, -2, 3], [1, -2, 3, 4], [-2, 3], [-2, 3, 4], [3], [3, 4], [4]. Their sums are 1, 2, 6, 1, 5, 3, 7, 4 respectively. All are non-negative. Count is 8.

Example 2

Input
3
-1 -2 -3
Output
0

No subarray has a non-negative sum. Count is 0.

Hints