IZhO 2024 Problem 1
In an alphabet of letters, a syllable is any ordered pair of two (not necessarily distinct) letters. Some syllables are considered indecent. A word is any sequence, finite or infinite, of letters, that does not contain indecent syllables. Find the least possible number of indecent syllables for which infinite words do not exist.
Official text International Zhautykov Olympiad 2024 official paper, page 1. Quoted with source.
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