
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 provincial TV station has $n$ ad inserts in one day, broadcasting a total of $m$ ads. The first time, they broadcast one ad and $\frac{1}{8}$ of the remaining $(m-1)$ ads. The second time, they broadcast two ads and $\frac{1}{8}$ of the remaining ads. Following this pattern, during the $n$-th insert, they broadcast the remaining $n$ ads (with $n > 1$). How many times did they broadcast ads that day? Find the total number of ads $m$.

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