
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  $a,b,c,d$  be distinct digits such that the product of the  $2$ -digit numbers  $\overline{ab}$  and  $\overline{cb}$  is of the form  $\overline{ddd}$ . Find all possible values of  $a+b+c+d$ .

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