
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
An international commission consists of nine people. The commission's materials are stored in a safe. How many locks should the safe have, how many keys need to be made for these locks, and how should they be distributed among the commission members so that access to the safe is possible only when at least six members of the commission are present?

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