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: Riley, Scarlett, and Ella. In a statement by Riley: "Riley is a knight and Scarlett is a knight". Scarlett said that Ella is a knave and Scarlett is a knight. Ella said that Riley is a knight if and only if Ella is a knight. 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 Riley is a knight.  No contradiction is found in their claim that Riley is a knight and Scarlett is a knight.
 Assume Scarlett is a knight.  No contradiction is found in their claim that Ella is a knave and Scarlett is a knight.
 Ella cannot be a knight, because this would contradict the claim of Scarlett that Ella is a knave and Scarlett is a knight.
 Assume Ella is a knave.  No contradiction is found in their false claim that Riley is a knight if and only if Ella is a knight.
 Therefore, (1) Riley is a knight
 (2) Scarlett is a knight
 (3) Ella 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: Riley, Scarlett, and Ella. In a statement by Riley: "Riley is a knight and Scarlett is a knight". Scarlett said that Ella is a knave and Scarlett is a knight. Ella said that Riley is a knight if and only if Ella is a knight. 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 Riley is a knight. No contradiction is found in their claim that Riley is a knight and Scarlett is a knight.
Assume Scarlett is a knight. No contradiction is found in their claim that Ella is a knave and Scarlett is a knight.
Ella cannot be a knight, because this would contradict the claim of Scarlett that Ella is a knave and Scarlett is a knight.
Assume Ella is a knave. No contradiction is found in their false claim that Riley is a knight if and only if Ella is a knight.
Therefore, (1) Riley is a knight
(2) Scarlett is a knight
(3) Ella is a knave </think>
<answer> (1) Riley is a knight
(2) Scarlett is a knight
(3) Ella is a knave </answer>
Riley Scarlett Ella
(1) Riley is a knight
(2) Scarlett is a knight
(3) Ella is a knave
(('and', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('lying', 2), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 2)))
rule