Solved: Prove or disprove that if you have an 8-gallon jug

Chapter 1, Problem 1.7.36

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Prove or disprove that if you have an 8-gallon jug of water and two empty jugs with capacities of 5 gallons and 3 gallons, respectively, then you can measure 4 gallons by successively pouring some of or all of the water in a jug into another jug.

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