
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
Molly has a set of cards numbered 1 to 12. She places eight of them at the vertices of an octagon so that the sum of every pair of numbers at opposite ends of an edge of the octagon is a multiple of 3. Which numbers did Molly not place?

A) \( 1, 5, 9 \) and \( 12 \)

B) \( 3, 5, 7 \) and \( 9 \)

C) \( 1, 2, 11 \) and \( 12 \)

D) \( 5, 6, 7 \) and \( 8 \)

E) \( 3, 6, 9 \) and \( 12 \)

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