
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 parallelogram $ABCD$, $M$ is the midpoint of $DC$, and $E$ and $F$ are points on $AB$ and $AD$ respectively, such that $EF \parallel BD$. If the area of triangle $MDF$ is 5 square centimeters, calculate the area of triangle $CEB$.

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