
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 a championship 200-meter race finals. Four of the sprinters are Italians. The race also awards three medals: gold, silver, and bronze. Determine the number of ways the medals can be awarded if exactly one Italian must win a medal, and that medal must be the gold medal.

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