Package g0301_0400.s0391_perfect_rectangle

Class Solution

java.lang.Object

g0301_0400.s0391_perfect_rectangle.Solution

public class Solution
extends Object

391 - Perfect Rectangle.<p>Hard</p> <p>Given an array <code>rectangles</code> where <code>rectangles[i] = [x_i, y_i, a_i, b_i]</code> represents an axis-aligned rectangle. The bottom-left point of the rectangle is <code>(x_i, y_i)</code> and the top-right point of it is <code>(a_i, b_i)</code>.</p> <p>Return <code>true</code> <em>if all the rectangles together form an exact cover of a rectangular region</em>.</p> <p><strong>Example 1:</strong></p> <p><img src="https://assets.leetcode.com/uploads/2021/03/27/perectrec1-plane.jpg" alt="" /></p> <p><strong>Input:</strong> rectangles = [[1,1,3,3],[3,1,4,2],[3,2,4,4],[1,3,2,4],[2,3,3,4]]</p> <p><strong>Output:</strong> true</p> <p><strong>Explanation:</strong> All 5 rectangles together form an exact cover of a rectangular region.</p> <p><strong>Example 2:</strong></p> <p><img src="https://assets.leetcode.com/uploads/2021/03/27/perfectrec2-plane.jpg" alt="" /></p> <p><strong>Input:</strong> rectangles = [[1,1,2,3],[1,3,2,4],[3,1,4,2],[3,2,4,4]]</p> <p><strong>Output:</strong> false</p> <p><strong>Explanation:</strong> Because there is a gap between the two rectangular regions.</p> <p><strong>Example 3:</strong></p> <p><img src="https://assets.leetcode.com/uploads/2021/03/27/perfectrec3-plane.jpg" alt="" /></p> <p><strong>Input:</strong> rectangles = [[1,1,3,3],[3,1,4,2],[1,3,2,4],[3,2,4,4]]</p> <p><strong>Output:</strong> false</p> <p><strong>Explanation:</strong> Because there is a gap in the top center.</p> <p><strong>Example 4:</strong></p> <p><img src="https://assets.leetcode.com/uploads/2021/03/27/perfecrrec4-plane.jpg" alt="" /></p> <p><strong>Input:</strong> rectangles = [[1,1,3,3],[3,1,4,2],[1,3,2,4],[2,2,4,4]]</p> <p><strong>Output:</strong> false</p> <p><strong>Explanation:</strong> Because two of the rectangles overlap with each other.</p> <p><strong>Constraints:</strong></p> <ul> <li><code>1 <= rectangles.length <= 2 * 10⁴</code></li> <li><code>rectangles[i].length == 4</code></li> <li><code>-10⁵ <= x_i, y_i, a_i, b_i <= 10⁵</code></li> </ul>

Constructor Summary

Constructors

Constructor	Description
Solution()

Method Summary

Modifier and Type	Method	Description
boolean	isRectangleCover(int[][] rectangles)

Methods inherited from class java.lang.Object

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

Constructor Details

Solution

public Solution()

Method Details

isRectangleCover

public boolean isRectangleCover(int[][] rectangles)