
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  $s (n)$  denote the sum of digits of a positive integer  $n$ . Using six different digits, we formed three 2-digits  $p, q, r$  such that   $$ p \cdot q \cdot  s(r) = p\cdot s(q) \cdot r = s (p) \cdot q \cdot r. $$   Find all such numbers  $p, q, r$ .

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