Problema 3, lista scurta 2010

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Mateescu Constantin
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Problema 3, lista scurta 2010

Post by Mateescu Constantin »

Fie \( m \) , \( p\in\mathbb N \) mai mari sau egale cu \( 3 \) . Determinati cel mai mic numar natural \( n \) , astfel incat orice submultime

cu \( n \) elemente a multimii \( \{\ 1\ ,\ 2\ ,\ 3\ ,\ \ldots\ ,\ pm\ \} \) sa contina doua numere a caror suma sa se divida cu \( p \) .

Marin Ionescu si Marian Teler
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Alin
Euclid
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Post by Alin »

\( n=m ? \) Asta e solutia?
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