Rectangle Area

Description

Find the total area covered by two rectilinear rectangles in a 2D plane.

Each rectangle is defined by its bottom left corner and top right corner as shown in the figure.

Example:

Input: A = -3, B = 0, C = 3, D = 4, E = 0, F = -1, G = 9, H = 2
Output: 45

Note:

Assume that the total area is never beyond the maximum possible value of int.

Solution(javascript)

/*
 * @lc app=leetcode id=223 lang=javascript
 *
 * [223] Rectangle Area
 */

// @lc code=start
/**
 * @param {number} A
 * @param {number} B
 * @param {number} C
 * @param {number} D
 * @param {number} E
 * @param {number} F
 * @param {number} G
 * @param {number} H
 * @return {number}
 */
const computeArea = function (A, B, C, D, E, F, G, H) {
  const area = (pointA, pointB) => (pointB[0] - pointA[0]) * (pointB[1] - pointA[1])
  const totalArea = area([A, B], [C, D]) + area([E, F], [G, H])
  if (E >= C || G <= A || F >= D || H <= B) {
    return totalArea
  }
  const pointA = [Math.max(A, E), Math.max(B, F)]
  const pointB = [Math.min(C, G), Math.min(D, H)]
  const overlapping = (pointB[0] - pointA[0]) * (pointB[1] - pointA[1])
  return totalArea - overlapping
}