MathDB
Bosnia and Herzegovina TST 2003 Day 1 Problem 1

Source: Bosnia and Herzegovina Team Selection Test 2003

September 18, 2018
boarditerationscombinatorics

Problem Statement

Board has written numbers: 55, 77 and 99. In every step we do the following: for every pair (a,b)(a,b), a>ba>b numbers from the board, we also write the number 5aāˆ’4b5a-4b. Is it possible that after some iterations, 20032003 occurs at the board ?
Back to ProblemsView on AoPS