MathDB
coins and 11 empty boxes - All-Russian MO 2002 Regional (R4) 8.3

Source:

September 17, 2024
combinatorics

Problem Statement

There are 1111 empty boxes. In one move you can put one coin in some 10 of them. Two people play and take turns. Wins the one after which for the first time there will be 2121 coins in one of the boxes. Who wins when played correctly?