
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
Integers  $1, 2, 3, ... ,n$ , where  $n > 2$ , are written on a board. Two numbers  $m, k$  such that  $1 < m < n, 1 < k < n$  are removed and the average of the remaining numbers is found to be  $17$ . What is the maximum sum of the two removed numbers?

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