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Subarray with B odd numbers


Problem Description

Given an array of integers A and an integer B.

Find the total number of subarrays having exactly B odd numbers.



Problem Constraints

1 <= length of the array <= 105

1 <= A[i] <= 109

0 <= B <= A



Input Format

The first argument given is the integer array A.
The second argument given is integer B.



Output Format

Return the total number of subarrays having exactly B odd numbers.



Example Input

Input 1:

 A = [4, 3, 2, 3, 4]
 B = 2

Input 2:

 A = [5, 6, 7, 8, 9]
 B = 3



Example Output

Output 1:

 4

Output 2:

 1



Example Explanation

Explanation 1:

 The subarrays having exactly B odd numbers are:
 [4, 3, 2, 3], [4, 3, 2, 3, 4], [3, 2, 3], [3, 2, 3, 4]

Explanation 2:

 The subarrays having exactly B odd numbers is [5, 6, 7, 8, 9]



NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a doubt? Checkout Sample Codes for more details.
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