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、、、、
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#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <algorithm>
using namespace std;
double x[110], y[110];
void slo()
{
x[0] = 0; y[0] = 0;
x[1] = 1; y[1] = 0;
x[2] = 0.5; y[2] = sqrt(1-0.5*0.5);
x[3] = 0.5; y[3] = y[2]-1;
for(int i = 4; i < 102; i++)
{
x[i] = 1-0.001*i;
y[i] = sqrt(1-x[i]*x[i]);
}
}
int main()
{
int t, n;
cin>>t;
slo();
while(t--)
{
cin>>n;
if(n<=3)
cout<<"No"<<endl;
else
{
cout<<"Yes"<<endl;
for(int i = 0; i < n; i++)
printf("%.6lf %.6lf\n", x[i], y[i]);
}
}
return 0;
}
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