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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