{ "data": { "question": { "questionId": "391", "questionFrontendId": "391", "categoryTitle": "Algorithms", "boundTopicId": 1075, "title": "Perfect Rectangle", "titleSlug": "perfect-rectangle", "content": "

Given an array rectangles where rectangles[i] = [xi, yi, ai, bi] represents an axis-aligned rectangle. The bottom-left point of the rectangle is (xi, yi) and the top-right point of it is (ai, bi).

\n\n

Return true if all the rectangles together form an exact cover of a rectangular region.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: rectangles = [[1,1,3,3],[3,1,4,2],[3,2,4,4],[1,3,2,4],[2,3,3,4]]\nOutput: true\nExplanation: All 5 rectangles together form an exact cover of a rectangular region.\n
\n\n

Example 2:

\n\"\"\n
\nInput: rectangles = [[1,1,2,3],[1,3,2,4],[3,1,4,2],[3,2,4,4]]\nOutput: false\nExplanation: Because there is a gap between the two rectangular regions.\n
\n\n

Example 3:

\n\"\"\n
\nInput: rectangles = [[1,1,3,3],[3,1,4,2],[1,3,2,4],[2,2,4,4]]\nOutput: false\nExplanation: Because two of the rectangles overlap with each other.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "完美矩形", "translatedContent": "

给你一个数组 rectangles ，其中 rectangles[i] = [xi, yi, ai, bi] 表示一个坐标轴平行的矩形。这个矩形的左下顶点是 (xi, yi) ，右上顶点是 (ai, bi) 。

\n\n

如果所有矩形一起精确覆盖了某个矩形区域，则返回 true ；否则，返回 false 。

\n \n\n

示例 1：

\n\"\"\n
\n输入：rectangles = [[1,1,3,3],[3,1,4,2],[3,2,4,4],[1,3,2,4],[2,3,3,4]]\n输出：true\n解释：5 个矩形一起可以精确地覆盖一个矩形区域。 \n
\n\n

示例 2：

\n\"\"\n
\n输入：rectangles = [[1,1,2,3],[1,3,2,4],[3,1,4,2],[3,2,4,4]]\n输出：false\n解释：两个矩形之间有间隔，无法覆盖成一个矩形。
\n\n

示例 3：

\n\"\"\n
\n输入：rectangles = [[1,1,3,3],[3,1,4,2],[1,3,2,4],[2,2,4,4]]\n输出：false\n解释：因为中间有相交区域，虽然形成了矩形，但不是精确覆盖。
\n\n

 

\n\n

提示：

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