1.
For x∈Rx \in \mathbb{R}, let [x][x] denote the greatest integer ≤x\le x, then the sum of the series [−13]+[−13−1100]+[−13−2100]+⋯+[−13−99100]\left[ -\frac{1}{3} \right] + \left[ -\frac{1}{3} - \frac{1}{100} \right] + \left[ -\frac{1}{3} - \frac{2}{100} \right] + \cdots + \left[ -\frac{1}{3} - \frac{99}{100} \right] is: