Multiply and divide
Let’s play a game. Given an initial integer
x, there are only 2 possible operations to perform:- (which is only allowed if
xis divisible by 3)
You are given
n values which were obtained by randomly performing these operations on some initial integer x. You are asked to restore the order of operations and print the values obtained in the correct order of operations performed.Input
The first line of the input contains a single integer
n (1 ≤ n ≤ 60).The next line contains
n space-separated integers that were obtained during the process. The integers do not exceed in absolute value.Output
The program should print
n space-separated integers in the correct order.Examples
Input | Output |
8 12 32 16 24 | 12 24 8 16 32 |
Explanation
Constraints
Time limit: 2 seconds
Memory limit: 512 MB
Output limit: 1 MB