
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
 $S=\{1,2, \ldots, 6\} .$  Then find out the number of unordered pairs of  $(A, B)$  such that  $A, B \subseteq S$  and  $A \cap B=\phi$ [list=1]
[*] 360
[*] 364
[*] 365
[*] 366
[/list]

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