
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
Three mice discovered a pile of peanuts and agreed to divide them equally the next day. The first mouse arrived early the next day and found the peanuts could not be divided equally by three, so it ate one peanut. After that, the remaining peanuts could be divided into three equal parts, and it took its share. The second and third mice arrived one after another and encountered the same problem; they each ate one peanut and then divided the remaining peanuts into three equal parts, taking their share. What is the minimum number of peanuts in the pile originally?

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