
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 right triangle $PQR$, $PQ=8$, $PR=15$, and $\angle P = 90^\circ$.  Points $S$ and $T$ are midpoints of $\overline{PQ}$ and $\overline{QR}$ respectively; $\overline{RS}$ and $\overline{PT}$ intersect at point $Y$.  Compute the ratio of the area of quadrilateral $PSYT$ to the area of triangle $QYR$.

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