判断矩形相交的方法

给你两个矩形,分别给你矩形的左下角和右上角,问你是否相交。

第一个矩形:(x1,y1),(x2,y2)
第二个矩形:  (x3,y3),(x4,y4)

如果满足max(x1,x3)<=min(x2,x4)&&max(y1,y3)<=min(y2,y4),则相交。

具体链接:http://codeforces.com/contest/1080/problem/C

AC代码:

 1 #include <bits/stdc++.h>
 2 using namespace std;
 3 # define ll long long
 4 int main()
 5 {
 6     int T;
 7     scanf("%d",&T);
 8     while(T--)
 9     {
10         ll n,m;
11         scanf("%lld %lld",&n,&m);
12         ll x1,y1,x2,y2;
13         ll x3,y3,x4,y4;
14         scanf("%lld %lld %lld %lld %lld %lld %lld %lld",&x1,&y1,&x2,&y2,&x3,&y3,&x4,&y4);
15         ll white=0;
16         // if(n%2!=0&&m%2!=0)
17         // {
18         white=(n*m+1)/2;
19        // cout<<1<<" "<<white<<endl;
20         // }
21         // else
22         //    white=(n*m)/2;
23         // int len1,len2;
24         if((x1%2+y1%2)==0||(x1%2+y1%2)==2)
25         {
26             white+=((x2-x1+1)*(y2-y1+1))/2;
27         }
28         else
29             white+=((x2-x1+1)*(y2-y1+1)+1)/2;
30          //cout<<2<<" "<<white<<endl;
31         if((x3%2+y3%2)==0||(x3%2+y3%2)==2)
32         {
33             white-=((x4-x3+1)*(y4-y3+1)+1)/2;
34         }
35         else
36             white-=((x4-x3+1)*(y4-y3+1))/2;
37          //cout<<3<<" "<<white<<endl;
38         ll x5,y5,x6,y6;
39         x5=max(x1,x3);
40         x6=min(x2,x4);
41         y5=max(y1,y3);
42         y6=min(y2,y4);
43        // cout<<white<<endl;
44         //cout<<x5<<" "<<y5<<endl<<x6<<" "<<y6<<endl;
45         if(x5<=x6&&y5<=y6)
46         {
47             if((x5%2+y5%2)==0||(x5%2+y5%2)==2)
48             {
49                 white-=((x6-x5+1)*(y6-y5+1))/2;
50             }
51             else
52                 white-=((x6-x5+1)*(y6-y5+1)+1)/2;
53         }
54        // cout<<white<<endl;
55         printf("%lld %lld
",white,n*m-white);
56     }
57     return 0;
58 }
原文地址:https://www.cnblogs.com/letlifestop/p/10262760.html