Determine Complete Interval Coverage

You need to process a stream of real-valued points on a one-dimensional target segment from 0 to 50. Each time a point `x` arrives, it contaminates the interval `[x - 0.5, x + 0.5]`. Contamination is permanent, and intervals from different points may overlap. Design a function that receives one point at a time as a `double` and returns a `bool` indicating whether the entire target segment `[0, 50]` is fully contaminated after processing that point. Notes: - Points may arrive in any order. - A point may be any real value; only its overlap with `[0, 50]` matters. - You should support repeated updates efficiently.