
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 line, each 1 meter apart from the next.

- The leftmost person in the line said: "My tribesman in this line is 1 meter away from me."
- The second person from the left said: "My tribesman in this line is 2 meters away from me."

It is known that there are two knights and two liars in the line. What distances might the third and fourth islanders from the left mention? Indicate all possible options.

Possible options:

Third islander: 1 meter

Fourth islander: 2 meters

3 meters

4 meters

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