
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
Given that 300 sprinters enter a 100-meter dash with an initial 8-lane track, but a 6-lane track for remaining races, determine the number of races needed to determine the champion sprinter.

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