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Combinatorics (combinatorial analysis) is a branch of mathematics that studies the discrete objects, the set (a combination, permutation, deployment and transfer of elements) and the relationship to them (eg, partial order).

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Algorithm for generating the next m-tuple of integers, subject to constraints

I am looking for an algorithm with the following characteristics: It is used to generate the set of integer vectors $\mathbf k=(k_1,\ldots,k_m)$, where $k_i\leq K_i$, $k_i\geq 0$, and $K_i$ are giv …
Gerolamo Cardano's user avatar