
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
Four people wrote down five-digit numbers where each subsequent number is formed by cyclically permuting the digits of the previous number. They started with 41234. Calculate the sum of these four numbers and then multiply the result by 3.

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