1401-circle-and-rectangle-overlapping.js

/**
 * 1401. Circle and Rectangle Overlapping
 * https://leetcode.com/problems/circle-and-rectangle-overlapping/
 * Difficulty: Medium
 *
 * You are given a circle represented as (radius, xCenter, yCenter) and an axis-aligned rectangle
 * represented as (x1, y1, x2, y2), where (x1, y1) are the coordinates of the bottom-left corner,
 * and (x2, y2) are the coordinates of the top-right corner of the rectangle.
 *
 * Return true if the circle and rectangle are overlapped otherwise return false. In other words,
 * check if there is any point (xi, yi) that belongs to the circle and the rectangle at the same
 * time.
 */

/**
 * @param {number} radius
 * @param {number} xCenter
 * @param {number} yCenter
 * @param {number} x1
 * @param {number} y1
 * @param {number} x2
 * @param {number} y2
 * @return {boolean}
 */
var checkOverlap = function(radius, xCenter, yCenter, x1, y1, x2, y2) {
  const closestX = Math.max(x1, Math.min(x2, xCenter));
  const closestY = Math.max(y1, Math.min(y2, yCenter));

  return ((xCenter - closestX) ** 2 + (yCenter - closestY) ** 2) <= radius ** 2;
};