
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 a square $PQRS$ is shaded? All angles in the diagram are right angles. The square has side length 6 units. The shaded regions are rectangles within the square:
- The first rectangle spans from the bottom-left corner of the square to a point 2 units right and 2 units up.
- The second rectangle spans from a point 3 units to the right of the bottom-left corner and extends vertically up to the top of the square, with a width of 1 unit.
- The third rectangle starts 5 units to the right of the bottom-left corner and extends to the top-right corner of the square.
Assume all shaded rectangles are non-overlapping.

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