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.