
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 four-digit number satisfies the following conditions:
1. The digits are distinct.
2. The sum of the digits is 16.
3. One digit is twice another digit.
4. One digit is three times another digit. 

What is the smallest such four-digit number?

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