Saturday, 22 June 2013

Problem of the Week [June 24, 2013]

A positive integer  is called "savage" if the integers  can be partitioned into three sets , and  such that:

i) The sum of the elements in each of , and  is the same.
ii)  contains only odd numbers.
iii)  contains only even numbers.
iv)  contains every multiple of 3 (and possibly other numbers).

Determine all even savage integers less than 100.

Correct answers as well as solutions will be acknowledged.

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