http://poj.org/problem?id=2504 /* @author: */ import java.util.Scanner; public class Main{ public static void main(String args[]) { Scanner sc=new Scanner(System.in); int n; double xx1,xx2,xx3,yy1,yy2,yy3,x,y,mnx,mxx,mny,mxy; int t=1; while(sc.hasNext()) { n=sc.nextInt(); if(n==0) break; xx1=sc.nextDouble(); yy1=sc.nextDouble(); xx2=sc.nextDouble(); yy2=sc.nextDouble(); xx3=sc.nextDouble(); yy3=sc.nextDouble(); double A1=2*(xx1-xx2); double A2=2*(xx1-xx3); double B1=2*(yy1-yy2); double B2=2*(yy1-yy3); double C1=xx1*xx1+yy1*yy1-xx2*xx2-yy2*yy2; double C2=xx1*xx1+yy1*yy1-xx3*xx3-yy3*yy3; double J=A1*B2-A2*B1; x=(C1*B2-C2*B1)/J; y=(A1*C2-A2*C1)/J; mnx=mny=999999999; mxx=mxy=-999999999; double angle=2*3.14159265358979/n; double xx,yy; for(int i=0;i< n;i++) { xx=Math.cos(i*angle)*(xx1-x)-Math.sin(i*angle)*(yy1-y)+x; yy=Math.sin(i*angle)*(xx1-x)+Math.cos(i*angle)*(yy1-y)+y; if(xx< mnx)mnx=xx; if(xx>mxx)mxx=xx; if(yy< mny)mny=yy; if(yy>mxy)mxy=yy; } mxx=mxx-mnx; mxy=mxy-mny; System.out.printf("Polygon %d: %.3fn",t,mxx*mxy); t++; } } }
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