leetcode 签到 836. 矩形重叠

836. 矩形重叠

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
提示:
两个矩形 rec1 和 rec2 都以含有四个整数的列表的形式给出。
矩形中的所有坐标都处于 -10^9 和 10^9 之间。
x 轴默认指向右,y 轴默认指向上。
你可以仅考虑矩形是正放的情况。
来源:leetcode
链接:https://leetcode-cn.com/problems/rectangle-overlap/

思路:

假设
rec1:[0,0,2,2]->[x10,y11,x12,y13]
(x10即rec1的第1位)
rec2:[1,1,3,3]->[x20,y21,x22,y23]
列举出不匹配的情况:
x轴:x22<=x10或者x12<=x20
y轴:y11<=y23或者y21<=y13
代码

class Solution:
    def isRectangleOverlap(self, rec1, rec2) -> bool:
        if rec1[1]>=rec2[3] or(rec1[0]>=rec2[2] or rec2[0]>=rec1[2]):
            return False
        elif rec2[1]>=rec1[3] or (rec1[0]>=rec2[2] or rec2[0]>=rec1[2]):
            return False
        else:
            return  True
a=Solution()
rec1 = [0,0,2,2]
rec2 = [1,1,3,3]
print(a.isRectangleOverlap(rec1,rec2))

原文地址:https://www.cnblogs.com/rmxob/p/12516736.html

时间: 2024-08-29 08:13:35

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