
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 the buttons numbered 1, 2, and 3 are functional, and the code for this lock is a three-digit sequence that contains no other digits. Write a sequence of digits of the shortest possible length that will surely unlock this lock (the lock unlocks as soon as all three digits of its code are pressed consecutively and in the correct order).

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