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RU-ALLRUSSIAN 2021 Problem 113

  • Grade 11

Some language has only three letters - A,BA, B and CC . A sequence of letters is called a word iff it contains exactly 100 letters such that exactly 40 of them are consonants and other 60 letters are all AA . What is the maximum numbers of words one can pick such that any two picked words have at least one position where they both have consonants, but different consonants?

Dataset text AI-MO AoPS. Quoted with source.

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