
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
 $2023$  players participated in a tennis tournament, and any two players played exactly one match. There was no draw in any match, and no player won all the other players. If a player  $A$  satisfies the following condition, let  $A$  be "skilled player".**(Condition)** For each player  $B$  who won  $A$ , there is a player  $C$  who won  $B$  and lost to  $A$ . 

It turned out there are exactly  $N(\geq 0)$  skilled player. Find the minimum value of  $N$ .

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