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14-digit numbers, divisible by 18 May Olympiad (Olimpiada de Mayo) 2011 L1 P5

Source:

September 28, 2021
number theoryDigitsdivisible

Problem Statement

We consider all 1414-digit positive integers, divisible by 1818, whose digits are exclusively 1 1 and 22, but there are no consecutive digits 22. How many of these numbers are there?