
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 a sports contest, a total of \(m\) medals were awarded over \(n\) days. On the first day, one medal and \( \frac{1}{7} \) of the remaining medals were awarded. On the second day, two medals and \( \frac{1}{7} \) of the remaining medals were awarded, and so on. On the last day, the remaining \(n\) medals were awarded. How many medals were awarded, and over how many days?

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