
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 an island, there are two tribes: knights, who always tell the truth, and liars, who always lie. Six islanders stood in a line one meter apart from each other.

- The second person from the left in the row said: "My nearest tribemate in this line stands 2 meters away from me."
- The third person said: "My nearest tribemate in this line stands 1 meter away from me."
- The sixth person said: "My nearest tribemate in this line stands 3 meters away from me."

It is known that there are exactly three knights and three liars in the line. On which positions are the knights guaranteed to stand?

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