You are given a binary string s and an integer k.

You are also given a 2D integer array queries, where queries[i] = [li, ri].

A binary string satisfies the k-constraint if either of the following conditions holds:

Return an integer array answer, where answer[i] is the number of substrings of s[li..ri] that satisfy the k-constraint.

 

Example 1:

Input: s = "0001111", k = 2, queries = [[0,6]]

Output: [26]

Explanation:

For the query [0, 6], all substrings of s[0..6] = "0001111" satisfy the k-constraint except for the substrings s[0..5] = "000111" and s[0..6] = "0001111".

Example 2:

Input: s = "010101", k = 1, queries = [[0,5],[1,4],[2,3]]

Output: [15,9,3]

Explanation:

The substrings of s with a length greater than 3 do not satisfy the k-constraint.

 

Constraints: