
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 curve recorded by the seismograph, and $A_0$ is the amplitude of the corresponding standard earthquake. Assuming that during an earthquake, the maximum amplitude recorded by the seismograph is 1000, and at that time the amplitude for the standard earthquake is 0.001, the magnitude of this earthquake is ______; the maximum amplitude of a 9-magnitude earthquake is ______ times the maximum amplitude of a 5-magnitude earthquake.

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