
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
The diagram shows a \(3 \times 4 \times 5\) cuboid consisting of 60 identical small cubes. A termite eats its way along the diagonal from \(P\) to \(Q\). This diagonal does not intersect the edges of any small cube inside the cuboid. How many of the small cubes does it pass through on its journey?  
A) 8  
B) 9  
C) 10  
D) 11  
E) 12

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