
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
Consider the sum
\[
  S_n = \sum_{k = 1}^n \frac{1}{\sqrt{2k-1}} \, .
\]
Determine  $\lfloor S_{4901} \rfloor$ .  Recall that if  $x$  is a real number, then  $\lfloor x \rfloor$  (the *floor* of  $x$ ) is the greatest integer that is less than or equal to  $x$ .


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