
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
Two multiplication examples of natural numbers were written on the board. In one of the examples, the numbers were the same. A troublemaker named Petya erased the original numbers and almost all the digits of the resulting products, leaving only the last three digits: ... 689 and ... 759. Can an exemplary student named Misha determine which of these three-digit numbers belongs to the product of the multiplication of identical numbers?

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