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I just asked the same question to Mistral-Small 3.1 out of curiosity.

To successfully transport the duck, carrot, and potato across the river without losing any of them, you need to plan your trips carefully. Here’s a step-by-step strategy:

First Trip: Take the duck across the river first. Items on this side: Carrot, Potato Items on the other side: Duck Return Trip: Go back alone to the original side. Items on this side: Carrot, Potato (you) Items on the other side: Duck Second Trip: Take either the carrot or the potato across the river. Let’s say you take the carrot first for illustration. Items on this side: Potato Items on the other side: Duck, Carrot (you) Return Trip: Go back with the duck to the original side. Items on this side: Potato, Duck Items on the other side: Carrot Third Trip: Leave the duck behind and take the potato across the river. Items on this side: Duck Items on the other side: Carrot, Potato (you) Return Trip: Go back alone to get the duck. Items on this side: Duck (you) Items on the other side: Carrot, Potato Final Trip: Take the duck across the river. All items are now on the other side. By following these steps, you ensure that the duck is never left unsupervised and all items make it safely across the river.