
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
The magnitude of an earthquake is represented by the Richter scale magnitude $M$, which is calculated using the formula, $M=\lg A-\lg A_{0}$, where $A$ is the maximum amplitude of the earthquake, and $A_{0}$ is the amplitude of a "standard earthquake" (The use of the standard earthquake amplitude is to correct errors in measurement). Generally, the seismic sensation of a magnitude $5$ earthquake is quite noticeable. The magnitude of the Wenchuan earthquake was $8$. Therefore, the maximum amplitude of a magnitude $8$ earthquake is ______ times the maximum amplitude of a magnitude $5$ earthquake.

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