Fourth Problem, Danube Mathematical Competition 2012
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Laurențiu Ploscaru
- Mesaje: 1237
- Membru din: Mie Mai 04, 2011 5:42 pm
- Localitate: Călimănești
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Fourth Problem, Danube Mathematical Competition 2012
Given a positive integer $n$, show that the set $\{1,2,3,...,n\}$ can be partitioned into $m$ sets, each with the same sum, if and only if $m$ is a divisor of $\dfrac{n(n+1)}{2}$ which does not exceed $\dfrac{(n + 1)}{2}$.
People are strange when you're a stranger,
Faces look ugly when you're alone.
Women seem wicked when you're unwanted,
Streets are uneven when you're down.
Faces look ugly when you're alone.
Women seem wicked when you're unwanted,
Streets are uneven when you're down.