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6.4

Non-decreasing subsequence
     

Given a sequence of n integers, you have to find out the non-decreasing subsequence of length k with minimum sum. If no sequence exists output -1.

Input:

The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. The first line of each test case contains integers N and K where N denotes the size of the array and K is the subsequence length for which we have to find the minimum sum,

The second line of each test case contains N space separated integers denoting elements of the array A[ ].


Output:

Print the minimum sum for each test case in a new line. If no such answer exists print "-1".


Constraints:

1<= N <=1000

1<= K <=1000

1<= A[ ] <=100000


Example:

Input:

2

10 3

58 12 11 12 82 30 20 77 16 86

10 4

58 12 11 12 82 30 20 77 16 86

Output:

39

125

**For More Examples Use Expected Output**


Contributor: Sujnesh Mishra

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