
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
On the island of knights and liars live knights who always tell the truth and liars who always lie. One day, five inhabitants of this island were asked in turn how many of them are knights.

- "One," said the first.
- "Two," said the second.
- "Three," said the third.
- "Don't believe them, they are all liars," said the fourth.
- "You're the liar!" said the fifth to the fourth.

How many knights were there actually?

Answer: 2.

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