
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 set $A={a_1,a_2,a_3,…,a_n}$ $(n∈N^{∎}, n≥slant 3)$, define the capacity of set $A$, denoted as $L(A)$, as the number of distinct values in $a_i+a_j$ $(1≤slant i < j≤slant n,i,j∈N^{∎})$. If $A={2,4,6,8}$, find $L(A)$; If the sequence ${a_n}$ is an arithmetic sequence, and the set $A={a_1,a_2,a_3,…,a_m}$ ($m∈N^{∎}$, $m$ is a constant), express $L(A)$ in terms of $m$.

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