You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
system
Petya missed the football match "Dynamo" vs "Shinnik" and, upon arriving at school the next morning, heard his friends discussing the game's results. Petya's classmate Vasya refused to reveal the match score but agreed to honestly answer any two yes-or-no questions about the game. Hearing this, Petya's three friends honestly told him the following:

Roma: "If I state the total number of goals scored in the match, you will undoubtedly be able to find out the score from Vasya."

Oleg: "Actually, even if the losing team had scored one more goal, the information about the total number of goals scored in the match would be enough for you to undoubtedly know the score from Vasya."

Seryozha: "The 'Shinnik' forward made the most beautiful assist of the season." Can Petya now undoubtedly find out the score from Vasya by asking only one question?
user
Да
rule
Petya missed the football match "Dynamo" vs "Shinnik" and, upon arriving at school the next morning, heard his friends discussing the game's results. Petya's classmate Vasya refused to reveal the match score but agreed to honestly answer any two yes-or-no questions about the game. Hearing this, Petya's three friends honestly told him the following:

Roma: "If I state the total number of goals scored in the match, you will undoubtedly be able to find out the score from Vasya."

Oleg: "Actually, even if the losing team had scored one more goal, the information about the total number of goals scored in the match would be enough for you to undoubtedly know the score from Vasya."

Seryozha: "The 'Shinnik' forward made the most beautiful assist of the season." Can Petya now undoubtedly find out the score from Vasya by asking only one question?
train