
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
Given two truth tellers and two liars are positioned in a line, where every person is distinguishable, calculate the number of ways to position these four people such that everyone claims that all people directly adjacent to them are liars.

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