
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 set $A=\{a_1, a_2, a_3, \ldots, a_n\}$, where $a_i \in \mathbb{R}$ ($1 \leq i \leq n$, $n > 2$), let $l(A)$ denote the number of distinct values of $a_i + a_j$ ($1 \leq i < j \leq n$).  
(1) Given the sets $P=\{2, 4, 6, 8\}$ and $Q=\{2, 4, 8, 16\}$, find $l(P)$ and $l(Q)$ respectively;  
(2) Find the minimum value of $l(A)$.

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