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a list of 2018 numbers , max last no 2018 May Olympiad L1 p1

Source:

August 24, 2021
algebra

Problem Statement

Juan makes a list of 20182018 numbers. The first is 1 1. Then each number is obtained by adding to the previous number, one of the numbers 1 1, 22, 33, 44, 55, 66, 77, 8 8 or 99. Knowing that none of the numbers in the list ends in 00, what is the largest value you can have the last number on the list?