
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 a room, there are several stools (3 legs each) and chairs (4 legs each). Each stool or chair can only seat one person. Some people came in for a meeting, and there were not enough stools or chairs for everyone, but everyone had a stool or chair to sit on, and there were still empty seats. It is known that the total number of legs of people, stools, and chairs is 32. How many people are in the room? How many stools? How many chairs?

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