
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 the six-by-six square is shaded?

[asy]
size(6cm,6cm);
fill((0,0)--(10,0)--(10,10)--(0,10)--cycle,gray(0.7));
fill((0,20)--(10,20)--(10,30)--(0,30)--cycle,gray(0.7));
fill((0,40)--(10,40)--(10,50)--(0,50)--cycle,gray(0.7));
fill((10,10)--(20,10)--(20,20)--(10,20)--cycle,gray(0.7));
fill((10,30)--(20,30)--(20,40)--(10,40)--cycle,gray(0.7));
fill((20,0)--(30,0)--(30,10)--(20,10)--cycle,gray(0.7));
fill((20,20)--(30,20)--(30,30)--(20,30)--cycle,gray(0.7));
fill((20,40)--(30,40)--(30,50)--(20,50)--cycle,gray(0.7));
fill((30,10)--(40,10)--(40,20)--(30,20)--cycle,gray(0.7));
fill((30,30)--(40,30)--(40,40)--(30,40)--cycle,gray(0.7));
fill((40,0)--(50,0)--(50,10)--(40,10)--cycle,gray(0.7));
fill((40,20)--(50,20)--(50,30)--(40,30)--cycle,gray(0.7));
fill((40,40)--(50,40)--(50,50)--(40,50)--cycle,gray(0.7));
fill((50,10)--(60,10)--(60,20)--(50,20)--cycle,gray(0.7));
fill((50,30)--(60,30)--(60,40)--(50,40)--cycle,gray(0.7));
fill((50,50)--(60,50)--(60,60)--(50,60)--cycle,gray(0.7));
draw((0,0)--(0,60),black);
draw((0,60)--(60,60),black);
draw((60,60)--(60,0),black);
draw((60,0)--(0,0),black);
draw((0,10)--(60,10),black);
draw((0,20)--(60,20),black);
draw((0,30)--(60,30),black);
draw((0,40)--(60,40),black);
draw((0,50)--(60,50),black);
draw((10,0)--(10,60),black);
draw((20,0)--(20,60),black);
draw((30,0)--(30,60),black);
draw((40,0)--(40,60),black);
draw((50,0)--(50,60),black);
[/asy]

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