Let $X$ and $Y$ be independent $\mathrm{Uniform}(0,1)$. Return $P(\text{low} \leq |X - Y| \leq \text{high})$.

The distance has a known cumulative distribution, which you can read off the unit square as the area outside two corner triangles:

$$P(|X-Y| \leq t) = 2t - t^2$$

Input

low = 0.0
high = 0.5

Output

0.75