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Maximum size of consecutives

Given a sorted array of distinct elements and an integer k. The array elements denote positions of points on 1-D number line, find the maximum size of subset of points that can have consecutive values of points which can be formed by placing another k points on the number line.

Input:
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. Each test case consists of two lines. First line of each test case contains two integers N and K and the second line contains N space separated array elements.

Output:
For each test case, print the maximum size of subset containing consecutive values in new line.

Constraints:
1<=T<=200
1<=N<=106
1<=K<=105
1<=A[i]<=106

Example:
Input:

2
8 4
1 2 3 4 10 11 14 15

3 3
11 12 15

Output:
8
6

#### ** For More Input/Output Examples Use 'Expected Output' option **

Contributor: Arun Tyagi

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