
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
A sports club consists of two coaches and a certain number of players. Each year, the two existing coaches leave the club. Then, each player introduces one new player to join the club. After that, two new coaches are chosen from an external pool, and not from the current players. Initially, there are eight people in the club. Calculate the total number of people in the club after four years.

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