
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
Given the sequence $\{a_n\}$ whose general term formula is $a_n=-n^2+12n-32$, and its sum of the first $n$ terms is $S_n$, then for any $n > m$ (where $m, n \in \mathbb{N}^*$), the maximum value of $S_n-S_m$ is

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