
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 tennis association ranks players based on their skill levels: the strongest player is ranked number 1, the next strongest is number 2, and so on. When two players compete, if the difference in their ranks is greater than 2, the player with the smaller number always wins. There are 1024 players participating in a single-elimination tournament. After each round, the number of players is halved. After 10 rounds, the champion is determined. What is the highest possible rank for the champion?

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