Algebra Level 5

$\large S = 1 + \frac 1{\sqrt 2} + \frac 1{\sqrt 3} + \frac 1{\sqrt 4} + \cdots + \frac 1{\sqrt{99}} + \frac 1{\sqrt{100}}$

Find $\lfloor S \rfloor$.

Notation: $\lfloor \cdot \rfloor$ denotes floor function.