
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 sides of the bases of a truncated quadrangular pyramid are 2 cm and 1 cm, and the height is 3 cm. A plane is drawn through the point of intersection of the diagonals of the pyramid, parallel to its bases, dividing the pyramid into two parts. Find the volume of each of the resulting parts.

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