
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 triangle $ABC$, medians $AM$ and $CN$ to sides $BC$ and $AB$, respectively, intersect at point $O$. Let $P$ be a point on side $AC$ such that $AP:PC = 1:3$. $MP$ intersects $CN$ at point $Q$. If the area of triangle $OMQ$ is $n$, then the area of triangle $ABC$ is:
A) 36n
B) 42n
C) 48n
D) 54n

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