10.3

Part of 2001 All-Russian Olympiad Regional Round

Problems(1)

3 colors for naturals, 2000(a + b) = c - All-Russian MO 2001 Regional (R4) 10.3

Source:

Describe all the ways to color each natural number as one of three colors so that the following condition is satisfied: if the numbers

a

b

c

(not necessarily different) satisfy the condition

2000(a + b) = c

, then they either all the same color or three different colors

number theorycombinatoricsColoring