Given an array of integers A and two integers B and C.
Find the number of range sums that lie in [ B, C ] inclusive.
Range sum S(i, j) is defined as the sum of the elements in A between indices i and j (i ≤ j), inclusive.
Input Format
The argument given is the integer array A and two integers B and C.
Output Format
Find the number of range sums that lie in [ B, C ] inclusive.
Constraints
1 <= length of the array <= 50000
-10^9 <= A[i] <= 10^9
For Example
Input 1:
A = [1, 2, 3]
B = 4
C = 6
Output 1:
2
Range Sum that lie between 4 and 6 are 6(1+2+3) and 5(2+3)
Input 2:
A = [-5, 1, -2]
B = -2
C = 4
Output 2:
3
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