A. Copy-paste SOLUTION Codeforces Round #673 (Div. 2)

Copy-paste SOLUTION

BThero is a powerful magician. He has got n piles of candies, the i-th pile initially contains ai candies. BThero can cast a copy-paste spell as follows:

He chooses two piles (i,j) such that 1≤i,j≤n and i≠j.

All candies from pile i are copied into pile j. Formally, the operation aj:=aj+ai is performed.

BThero can cast this spell any number of times he wants to — but unfortunately, if some pile contains strictly more than k candies, he loses his magic power. What is the maximum number of times BThero can cast the spell without losing his power?

 

Input

The first line contains one integer T (1≤T≤500) — the number of test cases.

Each test case consists of two lines:

the first line contains two integers n and k (2≤n≤1000, 2≤k≤104);

the second line contains n integers a1, a2, …, an (1≤ai≤k).

It is guaranteed that the sum of n over all test cases does not exceed 1000, and the sum of k over all test cases does not exceed 104.

 

Output

For each test case, print one integer — the maximum number of times BThero can cast the spell without losing his magic power.

 

Example

inputCopy

3

2 2

1 1

3 5

1 2 3

3 7

3 2 2

outputCopy

1

5

4

Note

In the first test case we get either a=[1,2] or a=[2,1] after casting the spell for the first time, and it is impossible to cast it again.

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