
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]


system
At the end of 2010, a certain city had 1 million cars, and by the end of 2012, the number of cars in the city had reached 1.44 million.

(1) Calculate the average annual growth rate of the number of cars in the city from the end of 2010 to the end of 2012;

(2) In order to control the growth rate of the number of cars, the city's transportation department requires that by the end of 2013, the total number of cars should not exceed 1.5552 million. Assuming the number of cars scrapped in 2013 is 10% of the total number of cars at the end of 2012, calculate the annual growth rate of the number of cars from the end of 2012 to the end of 2013 that needs to be controlled within a certain range to meet the requirement.

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