
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
Three friends are sitting in front of the TV. It is known that each of them is either always right about everything or always wrong about everything. The first said: "None of us have seen this movie." The second said: "I have seen this movie, but both of you have not." The third said: "I have seen this movie." Determine how many of these friends are always right, given that at least one of them said everything correctly and at least one of them made a mistake.

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