
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
In a castle, there are 3 buttons labeled $1, 2, 3$. The code to open the castle is a 3-digit number. What is the minimum number of button presses required to ensure the castle can be opened? (The castle opens if and only if the correct sequence of 3 digits is entered consecutively and in the correct order.)

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