
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 lined up in a row, standing 1 meter apart from each other.

- The second from the left said: "My tribesman in this row is standing 1 meter away from me."
- The third from the left said: "My tribesman in this row is standing 1 meter away from me."

It is known that there are two knights and two liars in the row. What distances could the first and fourth islanders from the left mention? List all possible options.

First islander: 1 meter

Fourth islander: 2 meters

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