SDE Path

Max Consecutive Ones III

Medium

Max Consecutive Ones III

Given a binary array and an integer K, find the longest subarray of 1s after flipping at most K zeros.

Input format

The first line contains N and K. The second line contains N zeros and ones.

Output format

Print the longest subarray of 1s after flipping at most K zeros to 1s.

Constraints

  • Values fit in a 64-bit signed integer
  • Trailing whitespace and a trailing newline are ignored by the judge

Read from stdin, write to stdout. Sample cases below show the exact format.

Sample cases

Example 1
Input
5 2
1 0 1 1 0
Expected output
5
Example 2
Input
5 1
0 0 1 1 0
Expected output
3