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\problem{}
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\problem{}
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Take any positive integer $n$. \par
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Take any positive integer $n$. \par
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Now, write it as sum of smaller positive integers: $n = a_1 + a_2 + ... + a_k$. \par
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Now, write it as sum of smaller positive integers: $n = a_1 + a_2 + ... + a_k$ \par
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Maximize the product $a_1 \times a_2 \times ... \times a_k$.
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Maximize the product $a_1 \times a_2 \times ... \times a_k$
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