If I understood correctly, conditions of problem say that 1) the farmer may not leave either the combination fox + goose without himself, or goose + beans without himself; 2) in each moment only the farmer + maximum one item is allowed in the boat (not more than one). The algorithm described here states that the farmer must 1) take the goose over; 2) return; 3) take the fox or beans over; 4) return with goose; 5) take beans or fox over; 6) return; 7) take goose over. The question is how he drops off an item and takes the other one in steps 3 and 5 (for example in 3rd).
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