
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, with volumes $1$, $8$, $27$, $64$, $125$, $216$, $343$, and $512$ cubic units, are stacked vertically to form a tower with decreasing volumes from the bottom to the top. Each cube except for the bottom one is placed perfectly on top of the cube below. Compute the total surface area of the tower.
- **A)** $1017$
- **B)** $1021$
- **C)** $1025$
- **D)** $1030$

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