
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 four-by-four square is shaded?

[asy]
size(4cm,4cm);
fill((0,0)--(10,0)--(10,10)--(0,10)--cycle,gray(0.7));
fill((0,30)--(10,30)--(10,40)--(0,40)--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((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));
draw((0,0)--(0,40),black);
draw((0,40)--(40,40),black);
draw((40,40)--(40,0),black);
draw((40,0)--(0,0),black);
draw((0,10)--(40,10),black);
draw((0,20)--(40,20),black);
draw((0,30)--(40,30),black);
draw((10,0)--(10,40),black);
draw((20,0)--(20,40),black);
draw((30,0)--(30,40),black);
draw((40,0)--(40,40),black);
[/asy]

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