
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
In a magical land, each piglet either always lies or always tells the truth, and each piglet knows for sure whether others are liars. One day, Nif-Nif, Naf-Naf, and Nuf-Nuf met for tea, and two of them made statements. However, it is not known who said what. One of the three piglets said: "Nif-Nif and Naf-Naf both always lie." The other said: "Nif-Nif and Nuf-Nuf both always lie." Determine how many liars are there among the three piglets.

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