
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 $[x]$ denote the greatest integer less than or equal to the real number $x$. A positive integer $x$ is called a "good number" if it satisfies $x - [\sqrt{x}]^2 = 9$. Determine the number of "good numbers" among the positive integers from $1$ to $2014$.

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