
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 Santiago's junior football club, there are 18 players on the team, including reserves. Of these, four are goalies. During a particular training session, the coach organizes a challenge to see which goalie can block the most number of penalty kicks. In each round, one goalie defends the goal while the remaining players, including the other goalies, each take turns trying to score.

How many penalty kicks must be taken to ensure that every player has had a chance to take a shot against each of the goalies?

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