<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 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  $T$ ? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
6
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  $T$ ?
test