Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Number of Partitions of an n-kilogram Stone into Minimum Number of
  Weights to Weigh All Integral Weights from 1 to n kg(s) on a Two-pan Balance   We find out the number of different partitions of an n-kilogram stone into
the minimum number of parts so that all integral weights from 1 to n kilograms
can be weighed in one weighing using the parts of any of the partitions on a
two-pan balance. In comparison to the traditional partitions, these partitions
have advantage where there is a constraint on total weight of a set and the
number of parts in the partition. They may have uses in determining the optimal
size and number of weights and denominations of notes and coins.

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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph