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There are **N** piles of coins each containing **Ai** (1<=i<=N) coins. Now, you have to adjust the number of coins in each pile such that for any two pile, if **a** be the number of coins in first pile and **b** is the number of coins in second pile then **|a-b|<=K**. In order to do that you can **remove **coins from different piles to decrease the number of coins in those piles but you cannot increase the number of coins in a pile by adding more coins. Now, given a value of **N** and **K**, along with the sizes of the **N** different piles you have to tell the **minimum** number of coins to be removed in order to satisfy the given condition.

**Note**: You can also remove a pile by removing all the coins of that pile.

**Input **

The first line of the input contains **T**, the number of test cases. Then **T** lines follow. Each test case contains two lines. The first line of a test case contains **N** and **K**. The second line of the test case contains **N** integers describing the number of coins in the **N** piles.

**Output **

For each test case output a single integer containing the minimum number of coins needed to be removed in a new line.

**Constraints **

1<=**T**<=50

1<=**N**<=100

1<=**A _{i}**<=1000

0<=

**Example
Input**

3

4 0

2 2 2 2

6 3

1 2 5 1 1 1

6 3

1 5 1 2 5 1

**Output **

0

1

2

**Explanation **

**1.** In the first test case, for any two piles the difference in the number of coins is <=0. So no need to remove any coins.

**2.** In the second test case if we remove one coin from pile containing 5 coins then for any two piles the absolute difference in the number of coins is <=3.

**3.** In the third test case if we remove one coin each from both the piles containing 5 coins , then for any two piles the absolute difference in the number of coins is <=3.

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