
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
In Nastya's room, there are 16 people gathered. Each pair of people either are friends or are hostile to each other. Upon arrival in the room, each person recorded on the door the number of already arrived friends, and upon leaving, they recorded the number of remaining enemies in the room. What can be the sum of all the recorded numbers after everyone has arrived and then everyone has left?

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