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
The total number of football teams from the East and West participating in the Super League does not exceed 30 teams. The East has 1 more team than the West. Every pair of teams played a match against each other: a win earns 3 points, a draw earns 1 point, and a loss earns 0 points. After the league ended, the results showed that the ratio of wins to draws among teams within the East, within the West, and between the East and West is 2:1. However, the total points of all teams in the East is 34 points more than the total points of all teams in the West. How many teams from the East and how many teams from the West participated in the competition?
user
7
rule
The total number of football teams from the East and West participating in the Super League does not exceed 30 teams. The East has 1 more team than the West. Every pair of teams played a match against each other: a win earns 3 points, a draw earns 1 point, and a loss earns 0 points. After the league ended, the results showed that the ratio of wins to draws among teams within the East, within the West, and between the East and West is 2:1. However, the total points of all teams in the East is 34 points more than the total points of all teams in the West. How many teams from the East and how many teams from the West participated in the competition?
train