
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
The keys of a safe with five locks are cloned and distributed among eight people such that any of five of eight people can open the safe. What is the least total number of keys? $ 
\textbf{a)}\ 18
\qquad\textbf{b)}\ 20
\qquad\textbf{c)}\ 22
\qquad\textbf{d)}\ 24
\qquad\textbf{e)}\ 25
$ 

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