Find Point Illuminated by Most Lamps

Problem Overview

• Determine the point on a number line covered by the most lamp ranges; on ties, return the smallest coordinate.
• Input: array lamps where each element is [position, radius]; Output: the best coordinate as an integer.
• Each lamp illuminates [position - radius, position + radius] inclusive on a 1D line.
• Real-world context: choosing a location with maximal overlapping coverage.
• From Uber interviews; this problem is a common coding interview topic and a frequent interview question.