Q: Alice, Bob, and Claire are playing a game. At the start of the game, they are each holding a ball: Alice has a brown
ball, Bob has a pink ball, and Claire has a blue ball. As the game progresses, pairs of players trade balls. First, Claire and
Bob swap balls. Then, Claire and Alice swap balls. Finally, Bob and Claire swap balls. At the end of the game, Bob has
the? Choices: A.pink ball. B.brown ball. C.blue ball.
A: Reasoning process: At the start of the game, Alice has a brown ball, Bob has a pink ball, and Claire has a blue ball.
After the ﬁrst swap, Claire and Bob swap balls. So Claire now has a pink ball and Bob has a blue ball. After the second
swap, Claire and Alice swap balls. So Claire now has a brown ball and Alice has a pink ball. Finally, Bob and Claire
swap balls. So Bob now has a brown ball and Claire has a blue ball. Final answer: B.
Enhancing Chain-of-Thoughts Prompting with Iterative Bootstrapping in Large Language Models