
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 6 by 6 grid, each of the 36 small squares measures 1 cm by 1 cm. Six unshaded circles are then placed on top of the grid with varying radii. The areas of the shaded region can be written in the form $A-C\pi$ square centimeters. The radii of the circles are as follows: four circles have a radius of 0.5 cm and two circles have a radius of 1 cm each. What is the value of $A+C$?

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