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Consider a set of three buckets: an 1 1 gallon bucket, a 4 gallon bucket, and a 5 gallon bucket. We begin with the 4

Consider a set of three buckets: an 11 gallon bucket, a 4 gallon bucket, and a 5 gallon bucket. We begin with the 4 and 5 gallon buckets full, and the 11 gallon bucket empty. We are allowed to apply a single operation to these buckets: pour the contents of a bucket into another bucket until either the source bucket is empty, or the target bucket is full.

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