
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 an All-District track meet, $320$ sprinters enter a $100-$meter dash competition. The track has 8 lanes, so only $8$ sprinters can compete at a time. At the end of each race, the seven non-winners are eliminated, and the winner will compete again in a later race. Calculate the number of races needed to determine the champion sprinter.

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