
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
There are 10 sprinters in the Olympic 100-meter finals, including 4 Americans and 2 Kenyans. The gold, silver, and bronze medals are awarded to the top three finishers. In how many ways can the medals be awarded if at most one American gets a medal and at least one Kenyan must get a medal?

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