
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
Let the arithmetic sequence $\{a_n\}$ have its first term $a_1$ and common difference $d$ both as integers, and the sum of the first $n$ terms be $S_n$.  
(I) If $a_{11}=0$, $S_{14}=98$, find the general formula for the sequence $\{a_n\}$.  
(II) If $a_1 \geqslant 6$, $a_{11} > 0$, $S_{14} \leqslant 77$, find all possible general formulas for the sequence $\{a_n\}$.

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