
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
Andrei thought of 4 whole numbers and told Vanya all their pairwise sums. Vanya remembered exactly 4 of them: $0, 3, 6,$ and $18$. For the two remaining sums, Vanya only remembered that they were two-digit natural numbers. What numbers did Andrei think of?

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