Functions

For a real number $x,[x]$ denotes the greatest integer less than or equal to $x$. Then the value of

$$ \begin{array}{r} {\left[\frac{1}{2}\right]+\left[\frac{1}{2}+\frac{1}{100}\right]+\left[\frac{1}{2}+\frac{2}{100}\right]+\left[\frac{1}{2}+\frac{3}{100}\right]+} \left[\frac{1}{2}+\frac{99}{100}\right]= \end{array} $$