adding reminder of one number to some other to blackboard
Source: 239 2017 J6
June 3, 2020
combinatoricsblackboard
Problem Statement
The natural numbers are written on the board. Vassya decides to write the reminder of one number on the board to some other non-zero number in each step. Prove that Vassya can find a natural number such that if then the number distinct numbers on the board after arbitrary number of steps does not exceed