
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 $EFGH$ is shaded, given that all angles in the diagram are right angles and the side length of the square is 6 units? The shaded regions are formed as follows: a square of side 1 unit at the bottom left corner, a square of side 3 units starting from 2 units to the right of the bottom left corner extending upward, and a square of side 4 units starting from 2 units to the right of the top left corner extending downward.

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