
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
In quadrilateral \(ABCD\), the diagonals \(AC\) and \(BD\) intersect at point \(O\). The areas of \(\triangle AOB\), \(\triangle AOD\), and \(\triangle BOC\) are \(12\), \(16\), and \(18\), respectively. What is the area of \(\triangle COD\)?

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