
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 cube is formed by stacking 64 smaller unit cubes (arranged as 4x4x4). A plane is perpendicular to one of the face diagonals of the large cube and bisects that diagonal. How many unit cubes does the plane intersect?
A) 14
B) 15
C) 16
D) 17
E) 18

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