
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
A pair of non-negative integers \((m, n)\) is called "simple" if their sum \(m + n\) does not require carrying in decimal notation. Find the number of simple pairs of non-negative integers \((m, n)\) that sum to 1492. 

(Note: This problem is from the 5th U.S.A. Mathematical Invitation, 1987.)

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