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Zero Count problem TCS Codevita Season 11 Solution

Problem Description

You are given a binary string 8 of length L which contains K ones and remaining zeros. You are required to place the K ones in the binary string in such a way that the longest consecutive zeros have the least length possible. Once such a binary string is constructed, you are required to print the length of the contiguous block of zeros, which has the largest length.

Input

3 1

Output

1

Explanation

B is of length 3 and it has 1 one's.

So the possible strings as per the problem are 010, 001, 100.

In the first case, the maximum length of consecutive zeros is 1 whereas in the other two cases it is 2. Hence the constructed binary string is 010 and the output is 1.





















































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