[枚举] HDU 2019 Multi-University Training Contest 8 - Calabash and Landlord

Posted 2022-07-16 railgun000

Calabash and Landlord

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 3228    Accepted Submission(s): 613

Problem Description

Calabash is the servant of a landlord. The landlord owns a piece of land, which can be regarded as an infinite 2D plane.

One day the landlord set up two orthogonal rectangular-shaped fences on his land. He asked Calabash a simple problem: how many nonempty connected components is my land divided into by these two fences, both finite and infinite? Calabash couldn‘t answer this simple question. Please help him!

Recall that a connected component is a maximal set of points not occupied by the fences, and every two points in the set are reachable without crossing the fence.

 

 

Input

The first line of input consists of a single integer T (1≤T≤10000), the number of test cases.

Each test case contains two lines, specifying the two rectangles. Each line contains four integers x1,y1,x2,y2 (0≤x1,y1,x2,y2≤109,x1<x2,y1<y2), where (x1,y1),(x2,y2) are the Cartesian coordinates of two opposite vertices of the rectangular fence. The edges of the rectangles are parallel to the coordinate axes. The edges of the two rectangles may intersect, overlap, or even coincide.

 

 

Output

For each test case, print the answer as an integer in one line.

 

 

Sample Input

3 0 0 1 1 2 2 3 4 1 0 3 2 0 1 2 3 0 0 1 1 0 0 1 1

 

 

Sample Output

3 4 2

 

题意:给你2个栅栏的坐标,栅栏会分割平面,问栅栏分割平面后有多少个连通块

思路:枚举所有情况,时间复杂度O(1),代码复杂度O(∞),一开始WA到自闭,就开始暴力模式,写的时候懵了,出现了一些难以发现的小错误,差点翻车,最后15分钟才改出来,

所有情况都在代码里了,可以看一下代码,这里就不细讲了

  1 #include<bits/stdc++.h>
  2 using namespace std;
  3 int x_1[5],y_1[5],x_2[5],y_2[5];
  4 int main()
  5     int t,a,b;
  6     ios::sync_with_stdio(0);
  7     cin>>t;
  8     while(t--)
  9         for(int i=0;i<=1;i++)cin>>x_1[i]>>y_1[i]>>x_2[i]>>y_2[i];
 10         a=0,b=1;
 11         if(x_1[0]>x_1[1])a^=1,b^=1;
 12         if(x_1[0]==x_1[1])
 13             if(x_2[b]>x_2[a]||y_2[b]>y_2[a]||y_1[b]<y_1[a])a^=1,b^=1;
 14         
 15         if(x_1[a]==x_1[b]&&x_2[a]==x_2[b]&&y_1[a]==y_1[b]&&y_2[a]==y_2[b])
 16             cout<<2<<endl;
 17         
 18         else
 19             if(x_2[a]<=x_1[b])
 20                 cout<<3<<endl;
 21             
 22             else
 23                 if(y_2[a]<=y_1[b]||y_1[a]>=y_2[b])
 24                     cout<<3<<endl;
 25                 
 26                 else
 27                         if(x_1[a]==x_1[b])     ///l1
 28                             if(x_2[a]==x_2[b]) ///r1
 29                                 if(y_1[a]==y_1[b]) ///d1
 30                                     if(y_2[a]==y_2[b])  ///u1
 31                                         cout<<2<<endl;
 32                                     else
 33                                         cout<<3<<endl;
 34                                 
 35                                 else               ///d0
 36                                     if(y_2[a]==y_2[b])  ///u1
 37                                         cout<<3<<endl;
 38                                     else            ///u0
 39                                         cout<<4<<endl;
 40                                 
 41                             
 42                             else if(x_2[b]>x_2[a]) ///l1 r0
 43                                 if(y_1[a]==y_1[b]) ///d1
 44                                     if(y_2[a]==y_2[b]||y_2[a]<y_2[b])
 45                                         cout<<3<<endl;
 46                                     else if(y_2[a]>y_2[b])
 47                                         cout<<4<<endl;
 48                                 
 49                                 else   ///d0
 50                                         if(y_1[a]<y_1[b])
 51                                             if(y_2[a]==y_2[b])cout<<4<<endl;
 52                                             else if(y_2[a]>y_2[b]) cout<<5<<endl;
 53                                             else cout<<4<<endl;
 54                                         
 55                                         else
 56                                             if(y_2[a]==y_2[b])cout<<3<<endl;
 57                                             else if(y_2[a]>y_2[b]) cout<<4<<endl;
 58                                             else cout<<3<<endl;
 59                                         
 60                                 
 61                             
 62                             else
 63                                 if(y_1[a]==y_1[b]) ///d1
 64                                     if(y_2[a]==y_2[b]||y_2[a]>y_2[b])
 65                                         cout<<3<<endl;
 66                                     else if(y_2[a]<y_2[b])
 67                                         cout<<4<<endl;
 68                                 
 69                                 else   ///d0
 70                                         if(y_1[a]>y_1[b])
 71                                             if(y_2[a]==y_2[b])cout<<4<<endl;
 72                                             else if(y_2[a]>y_2[b]) cout<<4<<endl;
 73                                             else cout<<5<<endl;
 74                                         
 75                                         else
 76                                             if(y_2[a]==y_2[b])cout<<3<<endl;
 77                                             else if(y_2[a]>y_2[b]) cout<<3<<endl;
 78                                             else cout<<4<<endl;
 79                                         
 80                                 
 81                             
 82                         
 83                         else
 84                             if(x_2[a]==x_2[b])    ///l0 r1
 85                                 if(y_1[a]==y_1[b])
 86                                     if(y_2[a]==y_2[b])
 87                                         cout<<3<<endl;
 88                                     else if(y_2[a]>y_2[b])cout<<3<<endl;
 89                                     else cout<<4<<endl;
 90                                 
 91                                 else
 92                                     if(y_1[a]<y_1[b])
 93                                         if(y_2[a]==y_2[b]||y_2[a]>y_2[b])cout<<3<<endl;
 94                                         else cout<<4<<endl;
 95                                     
 96                                     else
 97                                         if(y_2[a]==y_2[b]||y_2[a]>y_2[b])cout<<4<<endl;
 98                                         else cout<<5<<endl;
 99                                     
100                                 
101                             
102                             else
103                                 if(x_2[a]>x_2[b])
104                                     if(y_1[a]==y_1[b])
105                                         if(y_2[a]==y_2[b])cout<<4<<endl;
106                                         else if(y_2[a]>y_2[b])cout<<3<<endl;
107                                         else cout<<5<<endl;
108                                     
109                                     else
110                                         if(y_1[a]<y_1[b])
111                                             if(y_2[a]==y_2[b]||y_2[a]>y_2[b])cout<<3<<endl;
112                                             else cout<<4<<endl;
113                                         
114                                         else
115                                             if(y_2[a]==y_2[b])cout<<5<<endl;
116                                             else if(y_2[a]>y_2[b])cout<<4<<endl;
117                                             else cout<<6<<endl;
118                                         
119                                     
120                                 
121                                 else
122                                     if(y_1[a]==y_1[b])
123                                         cout<<4<<endl;
124                                     
125                                     else
126                                         if(y_1[a]<y_1[b])
127                                             cout<<4<<endl;
128                                         
129                                         else
130                                             if(y_2[a]==y_2[b]||y_2[a]>y_2[b])cout<<4<<endl;
131                                             else cout<<4<<endl;
132                                         
133                                     
134                                 
135                             
136                         
137                     
138                 
139             
140         
141 
142