A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Evelyn, William, and Mia. As Evelyn put it, "Mia is a knave if and only if Evelyn is a knight". William remarked, "Mia is a knave". "Evelyn is a knight if and only if Mia is a knight," Mia mentioned. So who is a knight and who is a knave? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags, for example <answer> (1) Zoey is a knight
(2) Oliver is a knight
(3)... </answer>.
Assistant: Let me solve this step by step.
<think> 
user
Assume Evelyn is a knight.  No contradiction is found in their claim that Mia is a knave if and only if Evelyn is a knight.
 Mia cannot be a knight, because this would contradict the claim of Evelyn that Mia is a knave if and only if Evelyn is a knight.
 Assume Mia is a knave.  No contradiction is found in their false claim that Evelyn is a knight if and only if Mia is a knight.
 Assume William is a knight.  No contradiction is found in their claim that Mia is a knave.
 Therefore, (1) Evelyn is a knight
 (2) William is a knight
 (3) Mia is a knave
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 3 inhabitants: Evelyn, William, and Mia. As Evelyn put it, "Mia is a knave if and only if Evelyn is a knight". William remarked, "Mia is a knave". "Evelyn is a knight if and only if Mia is a knight," Mia mentioned. So who is a knight and who is a knave? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags, for example <answer> (1) Zoey is a knight
(2) Oliver is a knight
(3)... </answer>.
Assistant: Let me solve this step by step.
<think> 
Assume Evelyn is a knight. No contradiction is found in their claim that Mia is a knave if and only if Evelyn is a knight.
Mia cannot be a knight, because this would contradict the claim of Evelyn that Mia is a knave if and only if Evelyn is a knight.
Assume Mia is a knave. No contradiction is found in their false claim that Evelyn is a knight if and only if Mia is a knight.
Assume William is a knight. No contradiction is found in their claim that Mia is a knave.
Therefore, (1) Evelyn is a knight
(2) William is a knight
(3) Mia is a knave </think>
<answer> (1) Evelyn is a knight
(2) William is a knight
(3) Mia is a knave </answer>
Evelyn William Mia
(1) Evelyn is a knight
(2) William is a knight
(3) Mia is a knave
(('<=>', ('lying', 2), ('telling-truth', 0)), ('lying', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))
rule