Given an array A[] of size n and an integer k, your task is to complete the function **countDistinct** which prints the count of distinct numbers in all windows of size k in the array A[].

Example

Input: A[] = {1, 2, 1, 3, 4, 2, 3};
k = 4
Output:
3 4 4 3
Explanation:
First window is {1, 2, 1, 3}, count of distinct numbers is 3
Second window is {2, 1, 3, 4} count of distinct numbers is 4
Third window is {1, 3, 4, 2} count of distinct numbers is 4
Fourth window is {3, 4, 2, 3} count of distinct numbers is 3

**Input:**

The first line of input contains an integer T denoting the no of test cases. Then T test cases follow. Each test case contains two integers n and k. Then in the next line are N space separated values of the array A[].

**Output:**

For each test case in a new line print the space separated values denoting counts of distinct numbers in all windows of size k in the array A[].

**Constraints:**

1<=T<=100

1<=n,k<=100

1<=A[]<=100

**Example(To be used only for expected output):**

Input:

2

7 4

1 2 1 3 4 2 3

3 2

4 1 1

**Output:**

3 4 4 3

2 1

**Note:**The **Input/Ouput** format and **Example** given are used for system's internal purpose, and should be used by a user for **Expected Output** only. As it is a function problem, hence a user should not read any input from stdin/console. The task is to complete the function specified, and not to write the full code.

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