
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 a tournament with 100 wrestlers, all of different strength, the stronger wrestler always wins against the weaker one. The wrestlers are paired up and have matches. Then, they are paired up differently and have matches again. The winners of both matches receive prizes. What is the minimum possible number of prize winners?

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