
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
There are 5 companies at a convention, and each company sends 4 representatives. Each person shakes hands only with people from two designated companies, avoiding handshakes with their company members and two other companies. How many handshakes occur?

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