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Posts tagged as “weighted”

花花酱 LeetCode 882. Random Point in Non-overlapping Rectangles


Given a list of non-overlapping axis-aligned rectangles rects, write a function pick which randomly and uniformily picks an integer point in the space covered by the rectangles.


  1. An integer point is a point that has integer coordinates.
  2. A point on the perimeter of a rectangle is included in the space covered by the rectangles.
  3. ith rectangle = rects[i] = [x1,y1,x2,y2], where [x1, y1] are the integer coordinates of the bottom-left corner, and [x2, y2] are the integer coordinates of the top-right corner.
  4. length and width of each rectangle does not exceed 2000.
  5. 1 <= rects.length <= 100
  6. pick return a point as an array of integer coordinates [p_x, p_y]
  7. pick is called at most 10000 times.

Example 1:


Example 2:


Explanation of Input Syntax:

The input is two lists: the subroutines called and their arguments. Solution‘s constructor has one argument, the array of rectangles rectspick has no arguments. Arguments are always wrapped with a list, even if there aren’t any.

Solution: Binary Search

Same as LeetCode 880. Random Pick with Weight

Use area of the rectangles as weights.

Time complexity: Init: O(n) Pick: O(logn)

Space complexity: O(n)

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