
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 base of a pyramid is a rhombus with diagonals \( d_{1} \) and \( d_{2} \). The height of the pyramid passes through the vertex of the acute angle of the rhombus. The area of the diagonal section conducted through the shorter diagonal is \( Q \). Calculate the volume of the pyramid given that \( d_{1} > d_{2} \).

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