
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
In a 7 by 7 grid, each of the 49 squares measures 1 cm by 1 cm and is shaded. Seven unshaded circles are placed on top of the grid as shown. The area of the visible shaded region can be written in the form $C-D\pi$ square cm. What is the value of $C+D$?

[asy]
for(int i = 0; i < 7; ++i)
{
    for(int j = 0; j < 7; ++j)
    {
        filldraw((i,j)--(i+1,j)--(i+1,j+1)--(i,j+1)--(i,j)--cycle,gray,linewidth(2));
    }
}

filldraw(circle((3.5,1),0.5),white,linewidth(2));
filldraw(circle((5.5,3.5),0.5),white,linewidth(2));
filldraw(circle((3.5,6),0.5),white,linewidth(2));
filldraw(circle((1,3.5),0.5),white,linewidth(2));
filldraw(circle((3.5,3.5),1.5),white,linewidth(2));
filldraw(circle((6.5,1),0.5),white,linewidth(2));
filldraw(circle((6.5,6),0.5),white,linewidth(2));
[/asy]

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