Problem C - Simple Equations

Time Limit: 1 sec

Description

Let us look at a boring mathematics problem. :-)

We have three different integers, x, y and z, which satisfy the following three relations:

You are asked to write a program that solves for x, y and z for given values of A, B and C.

Input

The first line of the input file gives the number of test cases N (N < 20). Each of the following N lines gives the values of A, B and C (1 ≤ A, B, C ≤ 10000).

Output

For each test case, output the corresponding values of x, y and z. If there are many possible answers, choose the one with the least value of x. If there is a tie, output the one with the least value of y.

If there is no solution, output the line 'No solution.' instead.

Sample Input

2
1 2 3
6 6 14

Sample Output

No solution.
1 2 3

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