
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 solid cube with a side length of $4$ has different-sized solid cubes removed from three of its corners: one corner loses a cube of side length $1$, another corner loses a cube of side length $2$, and a third corner loses a cube of side length $1$. How many edges does the modified solid have?
A) 18
B) 20
C) 22
D) 24
E) 26

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