
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
Let  $ABCDV$  be a regular quadrangular pyramid with  $V$  as the apex. The plane  $\lambda$  intersects the  $VA$ ,  $VB$ ,  $VC$  and  $VD$  at  $M$ ,  $N$ ,  $P$ ,  $Q$  respectively. Find  $VQ : QD$ , if  $VM : MA = 2 : 1$ ,  $VN : NB = 1 : 1$  and  $VP : PC = 1 : 2$ .

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