Package g0401_0500.s0497_random_point_in_non_overlapping_rectangles

Class Solution

java.lang.Object
g0401_0500.s0497_random_point_in_non_overlapping_rectangles.Solution
public class Solution extends java.lang.Object
497 - Random Point in Non-overlapping Rectangles.

Medium

You are given an array of non-overlapping axis-aligned rectangles rects where rects[i] = [ai, bi, xi, yi] indicates that (ai, bi) is the bottom-left corner point of the ith rectangle and (xi, yi) is the top-right corner point of the ith rectangle. Design an algorithm to pick a random integer point inside the space covered by one of the given rectangles. A point on the perimeter of a rectangle is included in the space covered by the rectangle.

Any integer point inside the space covered by one of the given rectangles should be equally likely to be returned.

Note that an integer point is a point that has integer coordinates.

Implement the Solution class:

  • Solution(int[][] rects) Initializes the object with the given rectangles rects.
  • int[] pick() Returns a random integer point [u, v] inside the space covered by one of the given rectangles.

Example 1:

Input [“Solution”, “pick”, “pick”, “pick”, “pick”, “pick”] [[-2, -2, 1, 1], [2, 2, 4, 6], [], [], [], [], []]

Output: [null, [1, -2], [1, -1], [-1, -2], [-2, -2], [0, 0]]

Explanation:

 Solution solution = new Solution([[-2, -2, 1, 1], [2, 2, 4, 6]]);
 solution.pick(); // return [1, -2]
 solution.pick(); // return [1, -1]
 solution.pick(); // return [-1, -2]
 solution.pick(); // return [-2, -2]
 solution.pick(); // return [0, 0]

Constraints:

  • 1 <= rects.length <= 100
  • rects[i].length == 4
  • -109 <= ai < xi <= 109
  • -109 <= bi < yi <= 109
  • xi - ai <= 2000
  • yi - bi <= 2000
  • All the rectangles do not overlap.
  • At most 104 calls will be made to pick.

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution(int[][] rects)
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int[]
    pick()
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution(int[][] rects)

  • Method Details

    • pick

      public int[] pick()