Time Limit: 2 Seconds    Memory Limit: 32768 KB

Mr. Mohandes has n pockets in his blue jeans. He has ci Oshloghs in his ith pocket. He plans to buy a tablet with the price of  w Oshloghs. Mr. Mohandes asks you to find the minimum number of pockets whose total money is at least w Oshloghs.


The first line of the input includes the number of test cases, 1≤t≤100. Each test case contains two lines. The first line contains two integers, 1≤n≤1000 and 1≤w≤109. The following line contains n integers, 1≤a1,a2,…,an≤1000, separated by a single space.


For each test case, print one line containing the minimum number of pocket whose total money is at least w Oshloghs.   In the case of impossibility, print “No solution!” instead. 

Sample Input

2 10
1 9  
3 20
4 5 6
4 7 
2 3 1 4

Sample Output

No solution!

Source: 12th Iran Nationwide Internet Contest I