MathDB
Argentina MO 2021 National Level 1 P2

Source:

April 23, 2022
combinatoricscontests

Problem Statement

On each OMA lottery ticket there is a 99-digit number that only uses the digits 1,21, 2 and 33 (not necessarily all three). Each ticket has one of the three colors red, blue or green. It is known that if two banknotes do not match in any of the 99 figures, then they are of different colors. Bill 122222222122222222 is red, 222222222222222222 is green, what color is bill 123123123123123123?