22666_'BloodyMary'

There is a mixture of water, alcohol and tomato juice in three vessels. The volume ratio of components in the first, second and third vessels is equal a₁ : a₂ : a₃, b₁ : b₂ : b₃ and c₁ : c₂ : c₃ correspondingly.

In what volume ratio is it necessary to take liquids from these vessels in order to create a mixture with a component ratio d₁ : d₂ : d₃?

Input consists of four lines. The first line contains values of parameters a₁, a₂, a₃, the others -- values of parameters b₁, b₂, b₃; c₁, c₂, c₃ and d₁, d₂, d₃ correspondingly. All numbers are integers from 0 to 1000; each line contains at least one nonzero value. The values on each line are separated by colons (without spaces).

Output a single line with the result. The result has the same format as the input data.

If it is impossible to create necessary mixture, the output file should contain a single line with word 'impossible'.

1:0:0
0:1:0
0:0:1
3:2:3

3:2:3