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Water pouring puzzles (also called water jug problems, decanting problems, [1] [2] measuring puzzles, or Die Hard with a Vengeance puzzles) are a class of puzzle involving a finite collection of water jugs of known integer capacities (in terms of a liquid measure such as liters or gallons). Initially each jug contains a known integer volume of ...
3 jugs puzzle barycentric plot: Image title: Two solutions to the water-pouring problem to obtain 4 litres using 8, 5 and 3-litre jugs using a barycentric plot by CMG Lee. The yellow parallelogram denotes combinations achievable with the given jugs. Starting at the square, the solid red and dashed blue paths show the transitions available by ...
Two ways to obtain 4 litres using 3-litre and 5-litre jugs, and either a water source and sink or an 8-litre jug on a Cartesian grid with diagonal lines of slope -1 by CMG Lee. The x and y axes represent the amounts in the 5 and 3 L jugs, respectively, while the diagonal lines represent the amount in the 8 L jug.
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Two solutions to the 8, 5 and 3 L water pouring puzzle using a barycentric plot. The yellow area denotes combinations achievable with the jugs. The solid red and dashed blue paths show pourable transitions. When a vertex lands on the dotted triangle, 4 L has been measured.
Workers hurriedly tried to shore up a rural Utah dam after a 60-foot (18-meter) crack sent water pouring into a creek and endangering the 1,800 residents of a downstream town. “I can’t say ...
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