
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 the diagram, square \(PQRS\) has a side length of \(25\). Point \(Q\) is located at \((0,7)\), and point \(R\) is on the \(x\)-axis. The square is rotated clockwise about \(R\) until \(S\) lies above the \(x\)-axis on the line with equation \(x = 39\). What are the new coordinates of \(P\) after this rotation?

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