矩形以列表 [x1, y1, x2, y2] 的形式表示,其中 (x1, y1) 为左下角的坐标,(x2, y2) 是右上角的坐标。

如果相交的面积为正,则称两矩形重叠。需要明确的是,只在角或边接触的两个矩形不构成重叠。

给出两个矩形,判断它们是否重叠并返回结果。

示例 1:

输入:rec1 = [0,0,2,2], rec2 = [1,1,3,3] 输出:true

示例 2:

输入:rec1 = [0,0,1,1], rec2 = [1,0,2,1] 输出:false

说明:

  1. 两个矩形 rec1 和 rec2 都以含有四个整数的列表的形式给出。
  2. 矩形中的所有坐标都处于 -10^9 和 10^9 之间。

如何判断两条线段是否重叠,给定两条线段的起始点(left1,right1)和结束点(left2,right2)。

如果两条线段重叠,那么必然有某个x满足max(left1,left2)<x<min(right1,righ2)。

矩阵同理,注意题目说的只在角或边接触的不构成重叠

class Solution {
public:
bool isRectangleOverlap(vector<int>& rec1, vector<int>& rec2) {
int x1 = max(rec1[0], rec2[0]);
int y1 = max(rec1[1], rec2[1]);
int x2 = min(rec1[2], rec2[2]);
int y2 = min(rec1[3], rec2[3]);
if(x1 >= x2 || y1 >= y2)
return false;
return true;
}
};

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