
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 grid is shaded?

[asy]
size(6cm,6cm);
fill((0,0)--(10,0)--(10,10)--(0,10)--cycle,gray(0.7)); // 1
fill((0,20)--(10,20)--(10,30)--(0,30)--cycle,gray(0.7)); // 3
fill((0,40)--(10,40)--(10,50)--(0,50)--cycle,gray(0.7)); // 5
fill((0,50)--(10,50)--(10,60)--(0,60)--cycle,gray(0.7)); // 6
fill((10,10)--(20,10)--(20,20)--(10,20)--cycle,gray(0.7)); // 8
fill((10,30)--(20,30)--(20,40)--(10,40)--cycle,gray(0.7)); // 12
fill((10,50)--(20,50)--(20,60)--(10,60)--cycle,gray(0.7)); // 16
fill((20,0)--(30,0)--(30,10)--(20,10)--cycle,gray(0.7)); // 7
fill((20,20)--(30,20)--(30,30)--(20,30)--cycle,gray(0.7)); // 11
fill((20,40)--(30,40)--(30,50)--(20,50)--cycle,gray(0.7)); // 15
fill((20,50)--(30,50)--(30,60)--(20,60)--cycle,gray(0.7)); // 17
fill((30,10)--(40,10)--(40,20)--(30,20)--cycle,gray(0.7)); // 18
fill((30,30)--(40,30)--(40,40)--(30,40)--cycle,gray(0.7)); // 22
fill((30,50)--(40,50)--(40,60)--(30,60)--cycle,gray(0.7)); // 26
fill((40,0)--(50,0)--(50,10)--(40,10)--cycle,gray(0.7)); // 19
fill((40,20)--(50,20)--(50,30)--(40,30)--cycle,gray(0.7)); // 23
fill((40,40)--(50,40)--(50,50)--(40,50)--cycle,gray(0.7)); // 27
fill((40,50)--(50,50)--(50,60)--(40,60)--cycle,gray(0.7)); // 28
fill((50,10)--(60,10)--(60,20)--(50,20)--cycle,gray(0.7)); // 29
fill((50,30)--(60,30)--(60,40)--(50,40)--cycle,gray(0.7)); // 33
fill((50,50)--(60,50)--(60,60)--(50,60)--cycle,gray(0.7)); // 36
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);
draw((60,0)--(60,60),black);
[/asy]

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