标签:style blog http color os strong
可以枚举两个点,因为是正方形两外两点可以由已知求出,据说可以根据三角形全等求出下列式子,数学渣不会证。。。
已知: (x1,y1) (x2,y2)
则: x3=x1+(y1-y2) y3= y1-(x1-x2)
x4=x2+(y1-y2) y4= y2-(x1-x2)
或
x3=x1-(y1-y2) y3= y1+(x1-x2)
x4=x2-(y1-y2) y4= y2+(x1-x2)
然后就可以hash或者二分做了,这里只用hash做的
应该算是简单的hash解决冲突的应用,放一个邻接表里。
两点需正反枚举两次,才能保证两种位置的正方形都被枚举到。
最后的结果需要除4,因为重复枚举了。
1 #include <iostream> 2 #include<cstdio> 3 #include<cstring> 4 #include<algorithm> 5 #include<stdlib.h> 6 #include<vector> 7 #include<cmath> 8 #include<queue> 9 #include<set> 10 using namespace std; 11 #define N 1010 12 #define mod 99991 13 #define LL long long 14 #define INF 0xfffffff 15 const double eps = 1e-8; 16 const double pi = acos(-1.0); 17 const double inf = ~0u>>2; 18 struct point 19 { 20 int x,y; 21 point(int x=0,int y=0):x(x),y(y){} 22 }p[N],o[N]; 23 int next[N],head[mod],t; 24 void insert(int i) 25 { 26 int key = (p[i].x*p[i].x+p[i].y*p[i].y)%mod; 27 next[t] = head[key]; 28 o[t].x = p[i].x; 29 o[t].y = p[i].y; 30 head[key] = t++; 31 } 32 int find(point a) 33 { 34 int key = (a.x*a.x+a.y*a.y)%mod; 35 int i; 36 for(i = head[key] ; i!= -1 ; i = next[i]) 37 { 38 if(o[i].x==a.x&&o[i].y == a.y) return 1; 39 } 40 return 0; 41 } 42 bool cmp(point a,point b) 43 { 44 if(a.x==b.x) 45 return a.y<b.y; 46 return a.x<b.x; 47 } 48 int main() 49 { 50 int n,i,j; 51 while(scanf("%d",&n)&&n) 52 { 53 memset(head,-1,sizeof(head)); 54 t = 0; 55 for(i = 1; i <= n; i++) 56 { 57 scanf("%d%d",&p[i].x,&p[i].y); 58 insert(i); 59 } 60 //sort(p+1,p+n+1,cmp); 61 int ans = 0; 62 for(i = 1; i <= n ;i++) 63 for(j = 1 ; j <= n; j++) 64 { 65 if(i==j) continue; 66 point p1,p2; 67 p1.x = p[i].x+(p[i].y-p[j].y); 68 p1.y = p[i].y-(p[i].x-p[j].x); 69 p2.x = p[j].x+(p[i].y-p[j].y); 70 p2.y = p[j].y-(p[i].x-p[j].x); 71 if(!find(p1)) continue; 72 if(!find(p2)) continue; 73 ans++; 74 } 75 printf("%d\n",ans/4); 76 } 77 return 0;
poj2002Squares(点集组成正方形数),布布扣,bubuko.com
标签:style blog http color os strong
原文地址:http://www.cnblogs.com/shangyu/p/3855362.html