9/18 每日一題(檢查矩形是否重疊)

An axis-aligned rectangle is represented as a list [x1, y1, x2, y2], where (x1, y1) is the coordinate of its bottom-left corner, and (x2, y2) is the coordinate of its top-right corner. Its top and bottom edges are parallel to the X-axis, and its left and right edges are parallel to the Y-axis.

Two rectangles overlap if the area of their intersection is positive. To be clear, two rectangles that only touch at the corner or edges do not overlap.

Given two axis-aligned rectangles rec1 and rec2, return true if they overlap, otherwise return false.

 

Example 1:

Input: rec1 = [0,0,2,2], rec2 = [1,1,3,3]
Output: true

Example 2:

Input: rec1 = [0,0,1,1], rec2 = [1,0,2,1]
Output: false

Example 3:

Input: rec1 = [0,0,1,1], rec2 = [2,2,3,3]
Output: false

 

Constraints:

• rec1.length == 4
• rec2.length == 4
• -109 <= rec1[i], rec2[i] <= 109
• rec1 and rec2 represent a valid rectangle with a non-zero area.

 class Solution:

    def isRectangleOverlap(self, rec1: List[int], rec2: List[int]) -> bool:

        x1,x2=rec1[0],rec1[2]

        y1,y2=rec1[1],rec1[3]

       

       

        if  rec2[0]<x1 <rec2[2] or rec2[0] < x2 <rec2[2] or x1 < rec2[0] < x2 or x1 < rec2[2] < x2:

            print(f'x對')

            if rec2[1]<y1<rec2[3] or rec2[1] < y2 <rec2[3] or y1 <rec2[1] <y2:

                return True

        return False

     

           

           

       檢查 x,y 矩形的邊界 是否有重疊

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class Solution:
    def isRectangleOverlap(self, rec1: List[int], rec2: List[int]) -> bool:
        X_overlab=not(rec1[2]<=rec2[0] or rec2[2]<=rec1[0])
        Y_overlab=not(rec1[3]<=rec2[1] or rec2[3]<=rec1[1])
        return (X_overlab and Y_overlab)