Subarrays with Sum in a Band
All values are positive. Count the contiguous subarrays whose sum lies in [LO, HI].
Input: the first line has N, LO and HI; the second line has N positive integers.
Output: the number of subarrays with LO ≤ sum ≤ HI.
Constraints:
- 1 ≤ N ≤ 105
- 1 ≤ ai ≤ 1000
- 1 ≤ LO ≤ HI ≤ 109
Sample Tests
Input 1
4 3 6 1 2 3 4
Output 1
5
Input 2
3 100 200 1 2 3
Output 2
0
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