You are given a binary string s containing only 0s and 1s. Your task is to minimize the length of the longest consecutive substring of the same character by performing at most k operations. In one operation, you can flip a single bit: change a 0 to 1 or a 1 to 0.

Input:

A binary string s (length n), where 1 ≤ n ≤ 10^5. An integer k (the maximum number of bit flips allowed), where 0 ≤ k ≤ n.

Output:

Return the minimum possible length of the longest consecutive substring of the same character after performing at most k flips.