
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 meeting was held for $n$ days $(n>1)$ and distributed a total of $m$ medals. On the 1st day, 1 medal was distributed plus $\frac{1}{7}$ of the remaining medals. On the 2nd day, 2 medals were distributed plus $\frac{1}{7}$ of the remaining medals, and so on. On the last day, exactly $n$ medals were distributed with no medals left. How many days was the sports meeting held? How many medals were distributed in total?

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