
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
Pythagorean Theorem: In a right-angled triangle with sides of length $a$ and $b$, and hypotenuse of length $c$, it holds that $a^{2}+b^{2}=c^{2}$. Analogously, for a rectangular solid with length $p$, width $q$, height $r$, and body diagonal length $d$, we have \_\_\_\_\_\_ .

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