
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
What percent of square $PQRS$ is shaded? All angles in the diagram are right angles.
- Square $PQRS$ has a side length of 7 units.
- Three shaded regions are formed by:
  1. A square from $(0,0)$ to $(2,2)$.
  2. A rectangle extending from $(3,0)$ to $(5,5)$.
  3. A rectangle extending from $(6,0)$ to $(7,7)$.
Label the points $P (0,0)$, $Q(0,7)$, $R(7,7)$, and $S(7,0)$.

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