<|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
 For a positive integer  $n$ , let  $s(n)$  and  $c(n)$  be the number of divisors of  $n$  that are perfect squares and perfect cubes respectively. A positive integer  $n$  is called fair if  $s(n)=c(n)>1$ . Find the number of fair integers less than  $100$ . 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
7
For a positive integer  $n$ , let  $s(n)$  and  $c(n)$  be the number of divisors of  $n$  that are perfect squares and perfect cubes respectively. A positive integer  $n$  is called fair if  $s(n)=c(n)>1$ . Find the number of fair integers less than  $100$ .
test