
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? All angles in the diagram are right angles. Assume square $EFGH$ has a side length of 7 units.

- Fill region 1 from $(0,0)$ to $(1,1)$.
- Fill region 2 from $(3,0)$ to $(5,5)$, skipping the regions directly adjacent to the first filled region.
- Fill region 3 from $(6,0)$ to $(7,7)$, similarly skipping regions directly adjacent to the second filled region.

Let $E$ be at $(0,0)$, $F$ at $(0,7)$, $G$ at $(7,7)$, and $H$ at $(7,0)$.

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