
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  $S$  be the set of the first  $2018$  positive integers, and let  $T$  be the set of all distinct numbers of the form  $ab$ , where  $a$  and  $b$  are distinct members of  $S$ . What is the  $2018$ th smallest member of  $T$ ?

*2018 CCA Math Bonanza Lightning Round #2.1*

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