
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 seven-by-seven square is shaded in a checkerboard pattern?

[asy]
size(7cm,7cm);
for (int i = 0; i < 7; ++i) {
  for (int j = 0; j < 7; ++j) {
    if ((i+j) % 2 == 0) {
      fill((10*i,10*j)--(10*i,10*(j+1))--(10*(i+1),10*(j+1))--(10*(i+1),10*j)--cycle,gray(0.7));
    }
  }
}
draw((0,0)--(0,70),black);
draw((0,70)--(70,70),black);
draw((70,70)--(70,0),black);
draw((70,0)--(0,0),black);

for (int i = 0; i < 7; i++) {
  draw((0, 10*i)--(70, 10*i), black);
  draw((10*i, 0)--(10*i, 70), black);  
}
[/asy]

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