Esther asks Juan a question, and Juan responds with an implicature. This means that Juan’s response does not literally contain the answer to Esther’s question, but implies an answer. Assuming that Juan is a cooperative conversational partner, what is the implicated answer to the question? For example:

Esther asked ‘You invented fire?’ and Juan responded ‘I told you that.’, which means
Implication: Juan says “I told you that”. Juan’s response must be relevant to Esther’s question because Juan is a cooperative conversational partner. Juan must mean that he told Esther that he invented fire. Juan’s response to Esther’s question “You invented fire?” is yes.
Answer: yes

Esther asked ‘That cake looks delicious. Aren't you going to have some with me?’ and Juan responded ‘But that was a huge meal we just had.’, which means
Implication: Juan’s response must be relevant to Esther’s question because Juan is a cooperative conversational partner. Juan must mean that the meal they just had was so huge he is not hungry anymore, and this must be relevant to Esther’s question: “Aren’t you going to have some with me?” Juan’s response to the question must therefore be no.
Answer: no

Esther asked ‘Could you perform well?’ and Juan responded ‘Being bilingual would help put me ahead of the pack.’, which means
Implication: Juan says being bilingual would help put him ahead of the pack. Juan’s response must be relevant to Esther’s question because Juan is a cooperative conversational partner. Juan must be implying that he could perform well because he is bilingual. This means the response to Esther’s question is yes.
Answer: yes

Esther asked ‘Have you any news for me?’ and Juan responded ‘I've made progress’, which means
Implication: Juan says he has made progress. Juan’s response must be relevant to Esther’s question because Juan is a cooperative conversational partner. If Juan would not have any news for Esther, Juan would not have said he would have made progress because that would be misleading. The answer to Esther’s question “Have you any news for me?” must therefore be yes.
Answer: yes

Esther asked ‘You looked out for him?’ and Juan responded ‘He looked out for me. He taught me.’, which means
Implication: Esther asks Juan “You looked out for him?” and Juan’s response says that the person that is being referred to by “him” here looked out for Juan. If Juan meant yes to Esther’s question, Juan would have said something like “he also looked out for me”. Stating the response like this implies that the answer to Esther’s question is no.
Answer: no

Only output a 'yes' or 'no' as a final answer. Write your reasoning after 'Implication:' and then output either 'Answer: yes' or 'Answer: no'.