
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
The Benton Youth Soccer Team now consists of 25 players, including 4 who are goalies. In today's session, the team is conducting two activities: a penalty kick contest and a dribbling challenge. In the penalty kick contest, each goalie stands in the goal while the rest of the team (including other goalies) takes a shot on goal, one at a time. In the dribbling challenge, each player tries to dribble past the goalie starting from the midfield. How many total activities (penalty kicks and dribbling challenges) must be conducted to ensure that each player has participated in both activities against each of the goalies?

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