River Crossing Puzzle

While testing LLM's on a classic logic puzzle:
"A farmer with a wolf, a goat, and a cabbage must cross a river by boat. The boat can carry only the farmer and a single item. If left unattended together, the wolf would eat the goat, or the goat would eat the cabbage. How can they cross the river without anything being eaten?"

I found that the smaller, locally run models tried hard but failed to solve it. When I asked Claude Sonnet, it didn't answer the puzzle, but instead wrote me a game to demonstrate the puzzle with a GUI, I polished that game a little and here it is, ready to play.