
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


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In a certain city, there were 10,000 fuel-powered buses in 2003. The relevant department planned to introduce 128 electric buses in 2004. After that, the number of electric buses introduced each year was to increase by 50% over the previous year. Determine:
(1) How many electric buses should the city introduce in 2010?
(2) By the end of which year will the number of electric buses exceed one-third of the total number of buses in the city?

Present the answer in LaTex format: \boxed{Your answer}
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