
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 committee consists of 5 members, with 1 representative from each of 5 states. The documents that the committee is working on are kept in a safe. How many locks should be on the safe, and how many keys should each committee member have, such that the documents can only be accessed if at least any three members of the committee are present together?

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