Darcy (a former taxi driver) now works at a factory crunching numbers for calculations. Despite his superior intellect and mathematical abilities, he still finds his job of calculating and computing very cumbersome and difficult.
Today he has to complete ~T~ tasks, each in the following format:
Given four numbers ~N, A, B, C~, find three numbers that sum up to ~N~, with the following restrictions:
- The first number must be an integer between ~0~ and ~A~ (inclusive)
- The second number must be an integer between ~0~ and ~B~ (inclusive)
- The third number must be an integer between ~0~ and ~C~ (inclusive)
Darcy has been feeling very pooped lately, can you help him find the three numbers for each task?
~1 \le T \le 100~
~1 \le N, A, B, C \le 10^9~
The first line will contain the integer ~T~, the number of tasks. ~T~ tasks will follow in the next ~4T~ lines.
The first line of each task will contain the integer ~N~.
The next three lines of each task will contain three integers: ~A, B, C~.
For each task, output three integers that sum up to ~N~ and satisfy the above constraints, or
-1 if that is not possible.
If there are multiple solutions, output the one such that earlier numbers are minimized. Note that ~A~ is considered to be before ~B~ and ~C~ and ~B~ is considered to be before ~C~.
1 100 100 53 49
0 51 49
Note that there is only one task in the sample.
98 1 1 also sums up to ~100~, the earlier numbers should be as small as possible.