题目:http://acm.fzu.edu.cn/problem.php?pid=2140
题意:
题目大意:给出n,要求找出n个点,满足:
1)任意两点间的距离不超过1;
2)每个点与(0,0)点的距离不超过1;
3)有n对点之间的距离刚好为1;
4)n个点组成的多边形面积大于0.5;
5)n个点组成的多边形面积小于0.75;
思路:只要有4个点以上就是,构造时先找出四个点,再在半径为1的圆上找点就行。
很巧妙的一道题目呀、、、、
1 #include <iostream> 2 #include <cstdio> 3 #include <cstdlib> 4 #include <cstring> 5 #include <cmath> 6 #include <algorithm> 7 using namespace std; 8 9 double x[110], y[110]; 10 void slo() 11 { 12 x[0] = 0; y[0] = 0; 13 x[1] = 1; y[1] = 0; 14 x[2] = 0.5; y[2] = sqrt(1-0.5*0.5); 15 x[3] = 0.5; y[3] = y[2]-1; 16 for(int i = 4; i < 102; i++) 17 { 18 x[i] = 1-0.001*i; 19 y[i] = sqrt(1-x[i]*x[i]); 20 } 21 } 22 int main() 23 { 24 int t, n; 25 cin>>t; 26 slo(); 27 while(t--) 28 { 29 cin>>n; 30 if(n<=3) 31 cout<<"No"<<endl; 32 else 33 { 34 cout<<"Yes"<<endl; 35 for(int i = 0; i < n; i++) 36 printf("%.6lf %.6lf ", x[i], y[i]); 37 } 38 } 39 return 0; 40 }