
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 that the line $x+2y+\sqrt{5}=0$ is parallel to the line $x-dy+11\sqrt{5}=0$ and the distance between them is $m$, in an arithmetic sequence $\{a_n\}$, the common difference is $d$, and $a_7 \cdot a_8 = 35$, $a_4 + a_{10} < 0$. Let $S_n = |a_1| + |a_2| + |a_3| + \ldots + |a_n|$, then the value of $S_m$ is \boxed{()}.

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