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KöMaL 2017 K550

    An unusual telegraph company charges for the various words by the letters they contain. Consonants are free, but each vowel costs a certain amount. We do not know these prices, but we do know the charges for a few words we have sent before: TÉGLALAP, PARALELOGRAMMA, NÉGYZET, HÁROMSZÖG, NÉGYSZÖG, ROMBUSZ, TRAPÉZ, DELTOID. (These are all mathematical terms in Hungarian. Y is not a vowel, and vowels with accents on them count as different vowels.) Show a possible method to determine the charge for the word GEOMETRIA.

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