
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 recorded by the seismograph for the earthquake wave, and $A_0$ is the amplitude of the corresponding standard earthquake. Suppose in an earthquake, the seismograph records a maximum amplitude of 1000, and the amplitude of the standard earthquake $A_0$ is 0.001, then the magnitude of this earthquake is \_\_\_\_\_\_ ; a magnitude 9 earthquake's maximum amplitude is \_\_\_\_\_\_ times the maximum amplitude of a magnitude 5 earthquake.

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