
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
It is known that in a combination lock, only buttons with numbers \(1, 2, 3\) are functional, and the lock code is a three-digit number that does not contain other digits. Write a sequence of digits of the shortest length that will surely open this lock (the lock opens as soon as all three digits of its code are pressed in the correct order).

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