
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 20 chairs in a room, colored either blue or red. Each chair is occupied by either a knight or a liar. Knights always tell the truth and liars always lie. Initially, each occupant claimed that they were sitting on a blue chair. Later, they switched seats somehow, after which half of them claimed to be sitting on blue chairs and the other half claimed to be sitting on red chairs. How many knights are now sitting on red chairs?

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