Score : 400 points
N people are arranged in a row from left to right.
You are given a string S of length N consisting of 0
and 1
, and a positive integer K.
The i-th person from the left is standing on feet if the i-th character of S is 0
, and standing on hands if that character is 1
.
You will give the following direction at most K times (possibly zero):
Direction: Choose integers l and r satisfying 1 \leq l \leq r \leq N, and flip the l-th, (l+1)-th, ..., and r-th persons. That is, for each i = l, l+1, ..., r, the i-th person from the left now stands on hands if he/she was standing on feet, and stands on feet if he/she was standing on hands.
Find the maximum possible number of consecutive people standing on hands after at most K directions.
0
or 1
.Input is given from Standard Input in the following format:
N K S
Print the maximum possible number of consecutive people standing on hands after at most K directions.
5 1 00010
4
We can have four consecutive people standing on hands, which is the maximum result, by giving the following direction:
14 2 11101010110011
8
1 1 1
1
No directions are necessary.