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Find minimum integer such that any integer \in [1, n] can be constructed from its consequent subsums
For example, here's (SPOILERS) breakdown for $1143$, which is the solution for $n = 9$
$\underline{1}143$
$\underline{11}43$
$114\underline{3}$
$11\underline{4}3$
$1\underline{14}3$
$\underline{114}3$...
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