Changing 4 consecutive numbers
Source: JOM 2024 P2
February 29, 2024
combinatorics
Problem Statement
The sequence is written on a whiteboard. Every second, Megavan chooses two integers and , and four consecutive numbers on the whiteboard. Then counting from the left, he adds to the 1st and 3rd of those numbers, and adds to the 2nd and 4th of those numbers. Can he achieve the sequence in a finite number of moves?(Proposed by Avan Lim Zenn Ee)