
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
Given a safe with a lock consisting of 3 dials, each with 8 different positions. Due to wear and tear, the safe will open as long as any two of the three dials are in the correct position. What is the minimum number of combinations that must be tried to ensure that the safe can be opened?

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