Problem Description

There are $N$ houses for sale. The $i$-th house costs $A_i$ dollars to buy. You have a budget of $B$ dollars to spend.

What is the maximum number of houses you can buy?

Input Format

The first line of the input gives the number of test cases, $T$. $T$ test cases follow. Each test case begins with a single line containing the two integers $N$ and $B$. The second line contains $N$ integers. The $i$-th integer is $A_i$, the cost of the $i$-th house.

Output Format

For each test case, output one line containing Case #x: y, where x is the test case number (starting from 1) and y is the maximum number of houses you can buy.

3
4 100
20 90 40 90
4 50
30 30 10 10
3 300
999 999 999

Case #1: 2
Case #2: 3
Case #3: 0

Hint

In Sample Case #1, you have a budget of $100$ dollars. You can buy the 1st and 3rd houses for $20+40=60$ dollars.

In Sample Case #2, you have a budget of $50$ dollars. You can buy the 1st, 3rd and 4th houses for $30+10+10=50$ dollars.

In Sample Case #3, you have a budget of $300$ dollars. You cannot buy any houses (so the answer is $0$).

Limits

$1 \le T \le 100$.

$1 \le B \le 10^5$.

$1 \le A_i \le 1000$, for all $i$.

Test Set 1

$1 \le N \le 100$.

Test Set 2

$1 \le N \le 10^5$.