
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 there are three consecutive two-digit numbers that satisfy the following conditions: (1) their sum is still a two-digit number; (2) the units digit of their sum is greater than the units digit of each of the three original numbers; then these numbers are called "Three Top Numbers". How many sets of "Three Top Numbers" are there?

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