
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. Four islanders are standing in a row, 1 meter apart from each other.

- The person on the far left said, "My tribesman in this row is 3 meters away from me."
- The person on the far right said, "My tribesman in this row is 2 meters away from me."

It is known that there are exactly two knights and two liars in the row. What distances could the second and third islanders in the row claim? List all possible options.

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