[Solution] Elections solution codeforces | Codeforces Round #748

Elections solution codeforces


The elections in which three candidates participated have recently ended. The first candidate received aa votes, the second one received bb votes, the third one received cc votes. For each candidate, solve the following problem: how many votes should be added to this candidate so that he wins the election (i.e. the number of votes for this candidate was strictly greater than the number of votes for any other candidate)?

Please note that for each candidate it is necessary to solve this problem independently, i.e. the added votes for any candidate do not affect the calculations when getting the answer for the other two candidates.

Elections solution codeforces

Input

The first line contains one integer tt (1t1041≤t≤104) — the number of test cases. Then tt test cases follow.

Each test case consists of one line containing three integers aabb, and cc (0a,b,c1090≤a,b,c≤109).

Elections solution codeforces

Output

For each test case, output in a separate line three integers AABB, and CC (A,B,C0A,B,C≥0) separated by spaces — the answers to the problem for the first, second, and third candidate, respectively.

Elections solution codeforces

Example
input

Copy
5
0 0 0
10 75 15
13 13 17
1000 0 0
0 1000000000 0

Elections solution codeforces

output

Copy
1 1 1
66 0 61
5 5 0
0 1001 1001
1000000001 0 1000000001

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