
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 $ABCD$ is shaded? All angles in the diagram are right angles. The side of the square is 6 units. The following regions within the square are shaded:
1. A square in the bottom-left corner with side length 1 unit.
2. A right triangle on the left side of the square that extends from the previously mentioned square and has legs extending 3 units upward and 2 units to the right.
3. A larger square in the top-right corner of the square, stretching 2 units left from the right side and 2 units down from the top side.
[No diagram provided, but it follows a similar logic to the original, with adjusted dimensions.]

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