Question 25
For any real number x, let $[x]$ denote the greatest integer smaller than or equal to x. For example, $[3]=3$, $[2.8]=2$, $[-2.3]=-3$. Suppose that R is a real number such that $$\left[R-\frac 1{200}\right]+\left[R-\frac 2{200}\right]+\left[R-\frac 3{200}\right]+\cdots+\left[R-\frac{99}{200}\right]=2018.$$ Find $[20 R]$.