Problem Statement

Students are working on a science project demonstrating magnetic properties. There are n plates positioned at coordinates ( x[i] , y[i] ). Each plate has a magnetic power d . When a plate is collected, all plates within d units of distance along the same row or column are attracted and collected instantly. This is a chain property: if plate A attracts plate B , and plate C is attracted to plate A , then all three plates are collected simultaneously. Assuming any single plate can be chosen and collected in one second, calculate the minimum time required to collect all plates. Example n = 4 d = 1 x = [0, 0, 1, 2] y = [0, 1, 0, 2] Plates 1, 2, and 3 are within d = 1 unit of distance from each other, so they are collected in one second. Plate 4 requires another second to collect. Therefore, the minimum time required is 2 seconds. Function Description Complete the function getMinTime in the editor with the following parameter(s): int n : the number of plates. int d : the magnetic power of t