
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 parallelogram \(ABCD\). A line passing through vertex \(C\) intersects lines \(AB\) and \(AD\) at points \(K\) and \(L\). The areas of triangles \(KBC\) and \(CDL\) are \(p\) and \(q\). Find the area of parallelogram \(ABCD\).

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