There is a highly organized city that has decided to assign a number to each of their departments:
::*   police department
::*   sanitation department
::*   fire department 


Each department can have a number between   '''1'''   and   '''7'''   (inclusive).

The three department numbers are to be unique (different from each other) and must add up to   '''12'''.

The Chief of the Police doesn't like odd numbers and wants to have an even number for his department.


;Task:
Write a computer program which outputs <u>all</u> valid combinations.


Possible output &nbsp; (for the 1<sup>st</sup> and 14<sup>th</sup> solutions):
  
  --police--  --sanitation--  --fire-- 
      2             3            7 
      6             5            1
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