
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 Central High School, a dodgeball league includes 12 students, among them are Dexter and Sam. Students split into two teams of 6 players each during their sports period. Over the course of a term, each group of six players team up exactly once. Determine how many times Dexter played in the same team as Sam?

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