Wolf, goat, and cabbage with Gemini
Me. A farmer is on one side of a river. With him is a wolf, a goat, and a cabbage. The farmer wants the goat to eat the cabbage after which the wolf eats the goat. Neither the wolf nor the goat will eat anything in the presence of the farmer. The farmer has a boat with which he can go to the other side of the river. He can take with him no more than one of the wolf, goat, or cabbage. How can the farmer ensure that the goat eats the cabbage and then that the wolf eats the goat?
Gemini gave up immediately and then solved the standard problem. It was clear that it had not solved the problem I posed.
Gemini. Farmer, Wolf, Goat, and Cabbage Puzzle
Unfortunately, the farmer cannot achieve the desired outcome of the goat eating the cabbage and then the wolf eating the goat.
The core issue is that the farmer needs to be present to prevent either the wolf from eating the goat or the goat from eating the cabbage. Once the farmer is on the other side of the river, there's no way to ensure the desired sequence of events without breaking the initial conditions.
If the goal were simply to transport everyone safely across the river without any casualties, there's a solution:
Take the goat across.
Return alone.
Take the wolf across.
Bring the goat back.
Take the cabbage across.
Return alone.
Take the goat across.
However, this solution doesn't fulfill the specific requirements of the goat eating the cabbage and then the wolf eating the goat under the given constraints.
Would you like to try a different puzzle?