For $x\in R$, let [x] denote the greatest integer $\le x$, then the sum of the series $\left[-\frac{{\displaystyle 1}}{{\displaystyle 3}}\right]+\left[-\frac{{\displaystyle 1}}{{\displaystyle 3}}-\frac{{\displaystyle 1}}{{\displaystyle 100}}\right]+\left[-\frac{{\displaystyle 1}}{{\displaystyle 3}}-\frac{{\displaystyle 2}}{{\displaystyle 100}}\right]+\mathrm{........}+\left[-\frac{{\displaystyle 1}}{{\displaystyle 3}}-\frac{{\displaystyle 99}}{{\displaystyle 100}}\right]$ is