Fetching Water with Least Residues

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Abstract:

In a classic pouring problem, you are given two jugs with capacities m and n pints, where m and n are relatively prime integers. Given an unlimited supply of water you must obtain exactly p pints, where p is an integer, 0 < p < m+n. In this article we use some properties of least residues to show that there are two distinct pouring sequences to achieve this result. The more efficient sequence can be determined by solving a linear congruence.

Document Type: Miscellaneous

Publication date: September 1, 2008

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