## Lazy Salesman solution codechef

Ved is a salesman. He needs to earn at least WW rupees in NN days for his livelihood. However, on a given day ii (1≤i≤N1≤i≤N), he can only earn AiAi rupees by working on that day.

Ved, being a lazy salesman, wants to take as many holidays as possible. It is known that on a **holiday**, Ved does not work and thus does not earn anything. Help **maximize** the number of days on which Ved can take a holiday.

It is guaranteed that Ved can always earn at least WW rupees by working on all days.

### Input Format

- The first line contains a single integer TT – the number of test cases. Then the test cases follow.
- The first line of each test case contains two integers NN and WW – the size of the array AA and the money Ved has to earn in those NN days.
- The second line of each test case contains NN space-separated integers A1,A2,…,ANA1,A2,…,AN denoting the money which Ved can earn on each day.

### Output Format

For each test case, output the maximum number of holidays Ved can take.

### Constraints

- 1≤T≤1001≤T≤100
- 1≤W≤100001≤W≤10000
- 1≤N≤1001≤N≤100
- 1≤Ai≤1001≤Ai≤100
- It is guaranteed that Ved can always earn at least WW rupees by working on all days.

### Sample Input 1

```
3
5 10
3 2 6 1 3
4 15
3 2 4 6
6 8
9 12 6 5 2 2
```

### Sample Output 1

```
2
0
5
```

### Explanation

**Test case-1:** Ved can work on 22-nd, 33-rd and 55-th day earning 2+6+3=112+6+3=11 rupees ≥W≥W rupees. Thus he can take 22 holidays on the 11-st and the 44-th day.

**Test case-2:** Ved has to work on all days to earn ≥W≥W rupees. Thus he can not take any holidays.

**Test case-3:** Ved can work on 22-nd day earning 1212 rupees ≥W≥W rupees. Thus he can take holiday on the remaining days.