
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 Watizit, as is well known, there are only two tribes that look very similar but are completely different in character: the inhabitants of Triussa, who always tell the truth, and the inhabitants of La, who always lie. I come ashore and three natives approach me, but I do not know where each of them is from.

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