HMMT November 2024 H2
- Theme
- Answer
Paul is in the desert and has a pile of gypsum crystals. No matter how he divides the pile into two nonempty piles, at least one of the resulting piles has a number of crystals that, when written in base 10 , has a sum of digits at least 7. Given that Paul's initial pile has at least two crystals, compute the smallest possible number of crystals in the initial pile.
Dataset text NuminaMath olympiads. Quoted with source.
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