
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 phone companies agreed to issue sets of all possible three-digit phone numbers, so that the first company would have numbers consisting only of odd digits, and the second only of even digits, except for 0. The first company sold their entire set at $X$ rubles per number, and the second sold their entire set at $Y$ rubles per number. The difference in revenue between the first company and the second was 5 rubles. Indicate all possible pairs of values $(X, Y)$, assuming that $X$ and $Y$ are integers less than 250.

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