LogiQuest

414. Subarrays With Exactly K Odd Numbers

MediumPrefix SumHash Map

Count the contiguous subarrays that contain exactly k odd numbers.

Input format

Line 1: n k Line 2: n integers

Output format

The count.

Example 1

Input

5 3
1 1 2 1 1

Output

2

Example 2

Input

3 1
2 4 6

Output

0

Constraints

1 ≤ k ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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