
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
In triangle $XYZ$, angle $X$ is a right angle, $XY = 8$ units, and $YZ = 17$ units. A square $PQRS$ is constructed on side $YZ$ and another square $XTUV$ is constructed on side $XZ$. Calculate the sum of the areas of squares $PQRS$ and $XTUV$.

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