
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
OKOSBANK's safe has several different locks. There are $n$ cashiers working in the bank, each having keys to some of the locks. (A cashier may have multiple keys, and multiple cashiers may have keys to the same lock.) We know that any $k$ cashiers together can always open the safe, but $k-1$ cashiers cannot. What is the minimum number of locks on the safe?

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