
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
The sum of two natural numbers is 2013. If the last two digits of one of them are crossed out, 1 is added to the resulting number, and the result is then multiplied by 5, you get the other number. Find these numbers. Enter the largest of them in the provided field.

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