
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 a sequence $\{a_{n}\}$ that satisfies: for any $n\in N^{*}$, $|a_{n+1}-a_{n}|=n$, and ${a_n}≤\frac{{n-1}}{2}$. Let $S_{n}$ denote the sum of the first $n$ terms of the sequence $\{a_{n}\}$. If $a_{1}=0$, then the maximum value of $S_{8}$ is ____.

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