
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 four Canadians. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded if at most one Canadian wins a medal?

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