
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 recent years, Yushu in Qinghai has experienced several earthquakes, causing considerable disaster to the local residents. Among them, the earthquake on April 1, 2010, with a magnitude of 7.1, and the earthquake on October 17, 2016, with a magnitude of 6.2, caused significant damage. As early as the 1930s, Charles F. Richter, a seismologist at the California Institute of Technology, established the Richter magnitude scale M we often refer to. The calculation formula is $M=\lg A - \lg A_0$ (where $A$ is the maximum amplitude of the earthquake being measured, and $A_0$ is the amplitude of the "standard earthquake"). Then, the maximum amplitude of the 7.1 magnitude earthquake is \_\_\_\_\_ times the maximum amplitude of the 6.2 magnitude earthquake.

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