
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
For real number  $a$  denote by  $[a]$  the greatest integer not exceeding  $a$ .
How many positive integers  $n\leq 10000$  are there which is  $[\sqrt{n}]$  is a divisor of  $n$ ?

2012 Tokyo Institute of Techonolgy entrance exam, problem 2-B

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