
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
40 people entered a room with 40 black and white chairs and sat down. They all claimed to be sitting on black chairs. Then they moved around somehow, and exactly 16 claimed to be sitting on a white chair. Each person either lied both times or told the truth both times. How many people who lied were sitting on a black chair the second time?

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