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Maximum Consecutive Ones - 2

1. You are given an array(arr) which contains only 0's and 1's and a number K. 2. You have to find the maximum number of consecutive 1's in the given array if you can flip at most K zeroes.

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Maximum Consecutive Ones - 2

easy

1. You are given an array(arr) which contains only 0's and 1's and a number K. 2. You have to find the maximum number of consecutive 1's in the given array if you can flip at most K zeroes.

Constraints

1 <= N <= 10^5 0 <= arr[i] <= 1 1 <= K <= N

Format

Input

A number N arr1 arr2... N numbers A number K

Output

A number representing maximum number of consecutive 1's after flipping at most K zeroes.

Example

Sample Input

6 1 1 0 0 1 1 1

Sample Output

3

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