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First, fill up the 3 gallon jug to the top, and pour it into the 5 gallon jug.
5 - 3 = 2 free gallons left in the 5 gallon jug.
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Now, fill up the 3 gallon jug again, and pour as much as you can into the 5 gallon jug.
3 - 2 = 1 gallon of water left in the 3 gallon jug.
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Finally, pour the remaining gallon of water from the 3 gallon jug into your 1 gallon jug.
Result = 1 gallon of water!
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