
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
Misha, Petya, Kolya, and Vasya played the card game "Fool" and played a total of 16 games. Each of them ended up as the "fool" at least once. It is known that Misha was left as the "fool" more times than anyone else, and Petya and Kolya together were the "fool" 9 times. How many times was Vasya left as the "fool"?

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