
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 $512, 343, 216, 125, 64, 27, 8, 1$ cubic units, are stacked vertically to form a tower. The cubes are stacked such that each cube is rotated by 45 degrees relative to the cube below it, except the bottom cube, and each side of the cube completely covers the face of the cube directly below it. Calculate the total surface area of this new arrangement, including all hidden and visible parts.
A) 845 square units
B) 945 square units
C) 1025 square units
D) 1125 square units
E) 1200 square units

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