Given a binary array **A** of size **N** and an integer **M**. Find the maximum number of consecutive 1's produced by flipping at most M 0's.

**Input:**

The first line contains an integer T denoting the total number of test cases. In each test cases, the first line contains an integer N denoting the size of array. The second line contains **N** space-separated integers A_{1}, A_{2}, ..., A_{N} denoting the elements of the array. Third line consists of an integer m that is maximum number of flips allowed.

**Output:**

Output the maximum numbers of consecutive 1's.

**Constraints:**

1 <= T <= 10^{3}

1 <= N <= 10^{7}

0 <= M <= N

0 <= A_{i} <= 1

**Example:**

**Input:**

1

11

1 0 0 1 1 0 1 0 1 1 1

2

**Output:**

8

**Explanation:
Testcase 1:** Maximum subarray is of size 8 which can be made subarray of all 1 after flipping two zeros to 1.

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