
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
A large rectangular sign measuring 8 units in height and 20 units in width is painted with the word "FOOD" where each letter is composed of 1-unit wide strokes. Calculate the area of the white portion of the sign after each letter is painted in black as described below:
- **F** spans 6 vertical units and has two horizontal strokes each 4 units long.
- **O**s are 4x4 squares from which the interiors are hollow (only the borders are painted).
- **D** has a vertical bar of 6x1 units and a semi-circular edge with a radius of 2 units filling the rest.
A) 108 square units
B) 110 square units
C) 112 square units
D) 114 square units
E) 116 square units

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