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:
0
's in the string is at most k
.1
's in the string is at most k
.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:
1 <= s.length <= 105
s[i]
is either '0'
or '1'
.1 <= k <= s.length
1 <= queries.length <= 105
queries[i] == [li, ri]
0 <= li <= ri < s.length