
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 of two colors: blue and red. Seated on each chair is either a knight or a liar. Knights always tell the truth, and liars always lie. Each of the seated individuals initially declared that they were sitting on a blue chair. After that, they somehow changed seats, and now half of the seated individuals claim to be sitting on blue chairs while the other half claim to be sitting on red chairs. How many knights are now sitting on red chairs?

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