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1. príklad 1. zimnej série 2010/2011

Zadanie:
Igor má $16$ kariet očíslovaných od $1$ do $16$ a ukladá ich na stôl. Jeho brat Paľo mu dovolí dať vedľa seba len také dve karty, ktorých súčet je druhá mocnina prirodzeného čísla. Je možné, aby Igor takto uložil na stôl všetky karty

a) do jedného radu?
b) na obvod jedného kruhu?


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