
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
A number less than 200 is formed by three different digits, and the double of this number also has all different digits. Additionally, the number and its double do not share any common digits. What is this number? How many solutions does this problem have?

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