
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
The sports event lasted for \( n \) days, during which \( m \) medals were distributed. On the first day, 1 medal was given out, plus \(\frac{1}{7}\) of the remaining \((m-1)\) medals. On the second day, 2 medals were given out, plus \(\frac{1}{7}\) of the remaining medals after that. This pattern continued for subsequent days. On the last day, the \( n \)-th day, the remaining \( n \) medals were given out. How many days did the event last, and how many medals were distributed in total?

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