
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 dwarfs are seated around a round table, each with three diamonds. Every minute, the dwarfs simultaneously perform the following action: they divide all their diamonds into two piles (it is possible for one or both piles to be empty), then give one pile to their left neighbor and the other pile to their right neighbor. At some point, all the diamonds end up with three dwarfs. One of them has seven diamonds. How many diamonds do the other two dwarfs have?

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