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
A large equilateral triangle and a smaller equilateral triangle are constructed side by side using toothpicks. The large triangle has 100 small triangles on its base, while the smaller triangle has 50 small triangles on its base. Calculate the total number of toothpicks needed to construct both triangles, taking into account any shared boundaries.
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rule
A large equilateral triangle and a smaller equilateral triangle are constructed side by side using toothpicks. The large triangle has 100 small triangles on its base, while the smaller triangle has 50 small triangles on its base. Calculate the total number of toothpicks needed to construct both triangles, taking into account any shared boundaries.
train