• Rectangle and Square(判断正方形、矩形)


    http://acm.sdut.edu.cn:8080/vjudge/contest/view.action?cid=42#problem/D

    改了N多次之后终于A了,一直在改判断正方形和矩形那,判断正方形时算出六条边再排序,若前四条边相等并且与后两条边满足勾股定理,说明是正方形,

    判断矩形时,我先对结构体二级排序,这样四个点有确定的顺序,再用点积判断是否有三个角是直角,是的话就是矩形。

      1 #include<stdio.h>
      2 #include<string.h>
      3 #include<algorithm>
      4 using namespace std;
      5 
      6 struct node
      7 {
      8     int x,y;
      9 }point[10];
     10 
     11 int cmp(const struct node a,const struct node b)
     12 {
     13     if(a.x == b.x)
     14         return a.y < b.y;
     15     return a.x < b.x;
     16 }
     17 int dot(const struct node a, const struct node b,const struct node c, const struct node d)
     18 {
     19     int ans = (a.x-b.x)*(c.x-d.x) + (a.y-b.y)*(c.y-d.y);
     20     if(ans == 0) return 1;
     21     return 0;
     22 }
     23 
     24 int dis(const struct node a, const struct node b)
     25 {
     26      return (a.x-b.x)*(a.x-b.x) + (a.y-b.y)*(a.y-b.y);
     27 }
     28 
     29 int main()
     30 {
     31     while(~scanf("%d %d",&point[1].x,&point[1].y))
     32     {
     33         bool vis[9] = {false};
     34         for(int i = 2; i <= 8; i++)
     35             scanf("%d %d",&point[i].x,&point[i].y);
     36         int flag = 0;
     37         int cnt;
     38         struct node t_point[10];
     39         for(int i = 1; i <= 8; i++)
     40         {
     41             for(int j = i+1; j <= 8; j++)
     42             {
     43                 for(int k = j+1; k <= 8; k++)
     44                 {
     45                     for(int l = k+1; l <= 8; l++)
     46                     {
     47                         int distance[10];
     48                         distance[0] = dis(point[i],point[j]);
     49                         distance[1] = dis(point[i],point[k]);
     50                         distance[2] = dis(point[i],point[l]);
     51                         distance[3] = dis(point[j],point[k]);
     52                         distance[4] = dis(point[j],point[l]);
     53                         distance[5] = dis(point[k],point[l]);
     54                         sort(distance,distance+6);
     55                         if( distance[0] == distance[1] &&
     56                             distance[1] == distance[2] &&
     57                             distance[2] == distance[3] &&
     58                             distance[4] == distance[5] &&
     59                             (distance[0] + distance[1] == distance[5]))
     60                             {
     61                                 flag = 1;
     62                                 vis[i] = true;
     63                                 vis[j] = true;
     64                                 vis[k] = true;
     65                                 vis[l] = true;
     66                                 break;
     67                             }
     68                     }
     69                     if(flag) break;
     70                 }
     71                 if(flag) break;
     72             }
     73             if(flag) break;
     74         }
     75         if(!flag)
     76             printf("NO
    ");
     77 
     78         else
     79         {
     80             int tmp1[5],tmp2[5],t1 = 0,t2 = 0;
     81             cnt = 0;
     82             for(int i = 1; i <= 8; i++)
     83             {
     84                 if(!vis[i])
     85                 {
     86                     t_point[cnt++] = point[i];
     87                     tmp2[t2++] = i;
     88                 }
     89                 else tmp1[t1++] = i;
     90             }
     91             sort(t_point,t_point+cnt,cmp);
     92 
     93             if(dot(t_point[0],t_point[1],t_point[0],t_point[2]) &&
     94                dot(t_point[0],t_point[1],t_point[1],t_point[3]) &&
     95                dot(t_point[0],t_point[2],t_point[2],t_point[3]))
     96                {
     97                    printf("YES
    ");
     98                    for(int i = 0; i < t1-1; i++)
     99                         printf("%d ",tmp1[i]);
    100                     printf("%d
    ",tmp1[t1-1]);
    101                    for(int i = 0; i < t2-1; i++)
    102                         printf("%d ",tmp2[i]);
    103                     printf("%d
    ",tmp2[t2-1]);
    104                }
    105             else printf("NO
    ");
    106 
    107         }
    108 
    109     }
    110     return 0;
    111 }
    View Code
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  • 原文地址:https://www.cnblogs.com/LK1994/p/3417040.html
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