
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
A sports event lasted for \( n \) days and \( m \) medals were distributed in total. On the first day, 1 medal and \(\frac{1}{7}\) of the remaining \( (m-1) \) medals were distributed. On the second day, 2 medals and \(\frac{1}{7}\) of the remaining medals after distribution were given out. For the subsequent days, medals were distributed following the same pattern. On the last day, which is the \( n \)-th day, the remaining \( n \) medals were distributed. How many days did the sports event last, and how many medals were distributed in total?

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