
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
The diagram shows a parallelogram \(WXYZ\) with area \(S\). The diagonals of the parallelogram meet at the point \(O\). The point \(M\) is on the edge \(ZY\). The lines \(WM\) and \(ZX\) meet at \(N\). The lines \(MX\) and \(WY\) meet at \(P\). The sum of the areas of triangles \(WNZ\) and \(XYP\) is \(\frac{1}{3} S\). What is the area of quadrilateral \(MNOP\)?

A) \(\frac{1}{6} S\)

B) \(\frac{1}{8} S\)

C) \(\frac{1}{10} S\)

D) \(\frac{1}{12} S\)

E) \(\frac{1}{14} S\)

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