Given m sequences, each contains n non-negative integer. Now we may select one number from each sequence to form a sequence with m integers. It's clear that we may get this kind of sequences. Then we can calculate the sum of numbers in each sequence, and get values. What we need is the smallest n sums. Could you help us?

输入描述:

The first line is an integer T, which shows the number of test cases, and then T test cases follow. The first line of each case contains two integers m, n . The following m lines indicate the m sequence respectively. No integer in the sequence is greater than 10000.

输出描述:

For each test case, print a line with the smallest n sums in increasing order, which is separated by a space.

1
2 3
1 2 3
2 2 3

3 3 4