
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
Eight cubes, whose volumes are $1$, $64$, $27$, $216$, $125$, $343$, $8$, and $512$ cubic units, are stacked vertically to form a tower. The volumes of the cubes increase and decrease alternately from bottom to top. Each cube, except for the bottom one, has its bottom face completely resting on the cube below it. What is the total surface area of the tower (including the bottom)?
A) 1021
B) 1059
C) 1110
D) 1200

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