Coloring the integers, again
Source: 2012 Indonesia Round 2.5 TST 2 Problem 2
May 21, 2012
combinatorics proposedcombinatorics
Problem Statement
The positive integers are colored with black and white such that:
- There exists a bijection from the black numbers to the white numbers,
- The sum of three black numbers is a black number, and
- The sum of three white numbers is a white number.Find the number of possible colorings that satisfies the above conditions.