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Searching for the right partitions
I have a set of integers $U$ with cardinality $311$ and whose sum is 500 dollars.
I want to group all the elements of this set into three different subsets:
The sum of the elements of subset $A$ is $...
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discrete convexity arising in a simple discrete optimization problem
Let $S$ be a fixed integer satisfying $S \ge 1$, let $a$ range over the integers between $1$ and $S$ inclusive, and for $i = 1, \dotsc, a$, let each $x_i$ range over the nonnegative integers, such ...
