
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
If we multiply 64253 by 365, we obtain 23452345, where the first four digits are repeated.

What is the largest number that we need to multiply 365 by to get a similar product, containing eight digits, where the first four digits are repeated?

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