
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
In a certain city, the minimum living allowance was 200 yuan in 2009. After two consecutive years of increase, it rose to 338 yuan in 2011. What is the average annual growth rate of the minimum living allowance in this city over these two years?

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