
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 200-meter sprint race, there are 10 runners, and 4 of them are British. Gold, silver, and bronze medals are awarded to the first three places, respectively. In how many ways can the medals be awarded if at least one British runner must win a medal?

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