
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
We will say that two positive integers  $a$  and  $b$  form a *suitable pair* if  $a+b$  divides  $ab$  (its sum divides its multiplication). Find  $24$  positive integers that can be distribute into  $12$  suitable pairs, and so that each integer number appears in only one pair and the largest of the  $24$  numbers is as small as possible.

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