
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
There are four people, some of whom always tell the truth. The others always lie.
The first person said, "An odd number of us always tell the truth".
The second person said, "An even number of us always tell the truth".
The third person said, "A prime number of us always tell the truth".
The fourth person said, "A square number of us always tell the truth".
How many of these four people were telling the truth?

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