
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 international sprinting event, there are 10 sprinters, including 4 Americans. The medals awarded are gold, silver, and bronze. Determine the number of ways the medals can be awarded if exactly two Americans must win medals.

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