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When the farmer returns to the original side, he has the choice of taking either the wolf or the cabbage across next. If he takes the wolf across, he would have to return to get the cabbage, resulting in the wolf eating the goat. If he takes the cabbage across second, he will need to return to get the wolf, resulting in the cabbage being eaten ...
The farmer can't take two items across the river at once. The conditions of the puzzle say "in crossing the river by boat, the farmer could carry only himself and a single one of his purchases". As for citations, there are plenty in the References section, and the Occurrence and variations section describes the origins of the puzzle.
Well-known river-crossing puzzles include: The fox, goose, and bag of beans puzzle, in which a farmer must transport a fox, goose and bag of beans from one side of a river to another using a boat which can only hold one item in addition to the farmer, subject to the constraints that the fox cannot be left alone with the goose, and the goose cannot be left alone with the beans.
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The missionaries and cannibals problem, and the closely related jealous husbands problem, are classic river-crossing logic puzzles. [1] The missionaries and cannibals problem is a well-known toy problem in artificial intelligence, where it was used by Saul Amarel as an example of problem representation. [2] [3]
What is going on here? Well, it turns out, it’s actually not that unusual to see goats climbing around on the backs of horses and other beasts of burden.
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