
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 10 people in a room - liars and knights (liars always lie, and knights always tell the truth). The first person said: "There is at least 1 liar in this room." The second person said: "There are at least 2 liars in this room." The third person said: "There are at least 3 liars in this room." And so on until the tenth person, who said: "Everyone in this room is a liar." How many liars could there be among these 10 people?

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