
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
There are two equations:  
好 + 好 = 妙, 妙 × 好好 × 真好 = 妙题题妙,  
where each Chinese character represents a digit from 0 to 9, the same character represents the same digit, and different characters represent different digits. What is the number of factors of the four-digit number represented by "妙题题妙"?

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