
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
Vumos wants to write the integers 1 to 9 in the nine boxes shown so that the sum of the integers in any three adjacent boxes is a multiple of 3. In how many ways can he do this?
A) \(6 \times 6 \times 6 \times 6\)
B) \(6 \times 6 \times 6\)
C) \(2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2\)
D) \(6 \times 5 \times 4 \times 3 \times 2 \times 1\)
E) \(9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\)

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