
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
Let  $ab$  be a two digit number. A positive integer  $n$  is a *relative* of  $ab$  if:


- The units digit of  $n$  is  $b$ .
- The remaining digits of  $n$  are nonzero and add up to  $a$ .

Find all two digit numbers which divide all of their relatives.

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