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
In recent years, live streaming e-commerce has gradually become an emerging marketing model, bringing new growth points to the e-commerce industry. At the beginning of the first year, a certain live streaming platform had an initial capital of 5 million yuan. Due to the participation of some well-known hosts, the platform's annual average capital growth rate can reach 40%. At the end of each year, operating costs of $a$ million yuan are deducted, and the remaining funds are reinvested in the live streaming platform.  
$(1)$ If $a=100$, how many million yuan will the live streaming platform have at the end of the third year after deducting operating costs?  
$(2)$ How much should the maximum annual operating cost be controlled at most, in order for the live streaming platform to reach 3000 million yuan at the end of the sixth year after deducting operating costs? (Give the result accurate to 0.1 million yuan)
user
46.8
rule
In recent years, live streaming e-commerce has gradually become an emerging marketing model, bringing new growth points to the e-commerce industry. At the beginning of the first year, a certain live streaming platform had an initial capital of 5 million yuan. Due to the participation of some well-known hosts, the platform's annual average capital growth rate can reach 40%. At the end of each year, operating costs of $a$ million yuan are deducted, and the remaining funds are reinvested in the live streaming platform.  
$(1)$ If $a=100$, how many million yuan will the live streaming platform have at the end of the third year after deducting operating costs?  
$(2)$ How much should the maximum annual operating cost be controlled at most, in order for the live streaming platform to reach 3000 million yuan at the end of the sixth year after deducting operating costs? (Give the result accurate to 0.1 million yuan)
train