
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
Point  $M$  lies on the diagonal  $BD$  of parallelogram  $ABCD$  such that  $MD = 3BM$ . Lines  $AM$  and  $BC$  intersect in point  $N$ . What is the ratio of the area of triangle  $MND$  to the area of parallelogram  $ABCD$ ?

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