You've just advanced from the Qualification Round of Google Code Jam Africa 2010, and you want to know how many of your fellow contestants advanced with you. To give yourself a challenge, you've decided only to look at how many people solved each problem.

The Qualification Round consisted of P problems; the ith problem was fully solved by S_i contestants. Contestants had to solve C problems in order to advance to the next round. Your job is to figure out, using only that information, the maximum number of contestants who could have advanced.

Input

The first line of the input gives the number of test cases, T. T lines follow. Each will consist only of space-separated integers: first P, then C, then P integers S₀...S_P-1.

Output

For each test case, output one line containing "Case #x: y", where x is the case number (starting from 1) and y is the maximum number of contestants who could have advanced (in other words, the maximum number of contestants who could have solved at least C problems).

Limits

• 1 ≤ T ≤ 100
• 1 ≤ C ≤ P

Small Dataset (11 points)

• 1 ≤ P ≤ 6
• 0 ≤ S_i ≤ 1000

Large Dataset (22 points)

• 1 ≤ P ≤ 60
• 0 ≤ S_i ≤ 10¹⁷

Example

Input

2
2 2 73 100
3 2 245 272 238

Output

Case #1: 73
Case #2: 377