
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. [asy]
import graph;
defaultpen(linewidth(0.7));

xaxis(0,6,Ticks(1.0,NoZero));
yaxis(0,6,Ticks(1.0,NoZero));

fill((0,0)--(2,0)--(2,2)--(0,2)--cycle);
fill((3,0)--(4,0)--(4,4)--(0,4)--(0,3)--(3,3)--cycle);
fill((5,0)--(6,0)--(6,6)--(0,6)--(0,5)--(5,5)--cycle);

label("$E$",(0,0),SW);
label("$F$",(0,6),NW);
label("$G$",(6,6),NE);
label("$H$",(6,0),SE);[/asy]

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