
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 firm has 250 employees, each of whom speaks several languages. For each pair of employees,  $(A,B)$ , there is a language spoken by  $A$  and not  $B$ , and there is another language spoken by  $B$  but not  $A$ . At least how many languages must be spoken at the firm?

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