
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 formula for calculating the Richter magnitude M is: $M = \lg A - \lg A_0$, where $A$ is the maximum amplitude of the earthquake wave recorded by the seismograph, and $A_0$ is the amplitude of the corresponding standard earthquake. Assume that in an earthquake, the maximum amplitude recorded by the seismograph is 1000, and the amplitude of the standard earthquake at this time is 0.001, then the magnitude of this earthquake is _______; The maximum amplitude of a magnitude 9 earthquake is _______ times the maximum amplitude of a magnitude 5 earthquake.

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