{ "data": { "question": { "questionId": "914", "questionFrontendId": "497", "categoryTitle": "Algorithms", "boundTopicId": 1793, "title": "Random Point in Non-overlapping Rectangles", "titleSlug": "random-point-in-non-overlapping-rectangles", "content": "
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.
\n\nNote that an integer point is a point that has integer coordinates.
\n\nImplement 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.\n
Example 1:
\n\n\nInput\n["Solution", "pick", "pick", "pick", "pick", "pick"]\n[[[[-2, -2, 1, 1], [2, 2, 4, 6]]], [], [], [], [], []]\nOutput\n[null, [1, -2], [1, -1], [-1, -2], [-2, -2], [0, 0]]\n\nExplanation\nSolution solution = new Solution([[-2, -2, 1, 1], [2, 2, 4, 6]]);\nsolution.pick(); // return [1, -2]\nsolution.pick(); // return [1, -1]\nsolution.pick(); // return [-1, -2]\nsolution.pick(); // return [-2, -2]\nsolution.pick(); // return [0, 0]\n\n\n
\n
Constraints:
\n\n1 <= rects.length <= 100
rects[i].length == 4
-109 <= ai < xi <= 109
-109 <= bi < yi <= 109
xi - ai <= 2000
yi - bi <= 2000
104
calls will be made to pick
.给定一个由非重叠的轴对齐矩形的数组 rects
,其中 rects[i] = [ai, bi, xi, yi]
表示 (ai, bi)
是第 i
个矩形的左下角点,(xi, yi)
是第 i
个矩形的右上角点。设计一个算法来随机挑选一个被某一矩形覆盖的整数点。矩形周长上的点也算做是被矩形覆盖。所有满足要求的点必须等概率被返回。
在给定的矩形覆盖的空间内的任何整数点都有可能被返回。
\n\n请注意 ,整数点是具有整数坐标的点。
\n\n实现 Solution
类:
Solution(int[][] rects)
用给定的矩形数组 rects
初始化对象。int[] pick()
返回一个随机的整数点 [u, v]
在给定的矩形所覆盖的空间内。\n\n
示例 1:
\n\n\n\n\n输入: \n[\"Solution\", \"pick\", \"pick\", \"pick\", \"pick\", \"pick\"]\n[[[[-2, -2, 1, 1], [2, 2, 4, 6]]], [], [], [], [], []]\n输出: \n[null, [1, -2], [1, -1], [-1, -2], [-2, -2], [0, 0]]\n\n解释:\nSolution solution = new Solution([[-2, -2, 1, 1], [2, 2, 4, 6]]);\nsolution.pick(); // 返回 [1, -2]\nsolution.pick(); // 返回 [1, -1]\nsolution.pick(); // 返回 [-1, -2]\nsolution.pick(); // 返回 [-2, -2]\nsolution.pick(); // 返回 [0, 0]\n\n
\n\n
提示:
\n\n1 <= rects.length <= 100
rects[i].length == 4
-109 <= ai < xi <= 109
-109 <= bi < yi <= 109
xi - ai <= 2000
yi - bi <= 2000
pick
最多被调用 104
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