poj 6206 Apple
Posted 不积跬步无以至千里,不积小流无以成江海
tags:
篇首语:本文由小常识网(cha138.com)小编为大家整理,主要介绍了poj 6206 Apple相关的知识,希望对你有一定的参考价值。
Apple
Time Limit: 1000/1000 MS (Java/Others) Memory Limit: 65535/32768 K (Java/Others)
Total Submission(s): 806 Accepted Submission(s): 267
Problem Description
Apple is Taotao‘s favourite fruit. In his backyard, there are three apple trees with coordinates (x1,y1), (x2,y2), and (x3,y3). Now Taotao is planning to plant a new one, but he is not willing to take these trees too close. He believes that the new apple tree should be outside the circle which the three apple trees that already exist is on. Taotao picked a potential position (x,y) of the new tree. Could you tell him if it is outside the circle or not?
Input
The first line contains an integer T, indicating that there are T(T≤30) cases.
In the first line of each case, there are eight integers x1,y1,x2,y2,x3,y3,x,y, as described above.
The absolute values of integers in input are less than or equal to 1,000,000,000,000.
It is guaranteed that, any three of the four positions do not lie on a straight line.
In the first line of each case, there are eight integers x1,y1,x2,y2,x3,y3,x,y, as described above.
The absolute values of integers in input are less than or equal to 1,000,000,000,000.
It is guaranteed that, any three of the four positions do not lie on a straight line.
Output
For each case, output "Accepted" if the position is outside the circle, or "Rejected" if the position is on or inside the circle.
Sample Input
3 -2 0 0 -2 2 0 2 -2 -2 0 0 -2 2 0 0 2 -2 0 0 -2 2 0 1 1
Sample Output
Accepted Rejected Rejected
只需要输入三个点的坐标即可 p1(x1,y1) p2(x2,y2) p3(x3,y3) A=x1*x1+y1*y1 B=x2*x2+y2*y2 C=x3*x3+y3*y3 G=(y3-y2)*x1+(y1-y3)*x2+(y2-y1)*x3 X=((B-C)*y1+(C-A)*y2+(A-B)*y3)/(2*G) Y=((C-B)*x1+(A-C)*x2+(B-A)*x3)/(2*G)
import java.math.BigDecimal; import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner cin=new Scanner(System.in); BigDecimal A,B,C,G; BigDecimal x1,x2,x3,y1,y2,y3,x0,y0; BigDecimal X,Y; int t; t=cin.nextInt(); while(t-->0) { x1=cin.nextBigDecimal(); y1=cin.nextBigDecimal(); x2=cin.nextBigDecimal(); y2=cin.nextBigDecimal(); x3=cin.nextBigDecimal(); y3=cin.nextBigDecimal(); x0=cin.nextBigDecimal(); y0=cin.nextBigDecimal(); A=x1.multiply(x1).add(y1.multiply(y1)); B=x2.multiply(x2).add(y2.multiply(y2)); C=x3.multiply(x3).add(y3.multiply(y3)); G=BigDecimal.valueOf(1); G=y3.subtract(y2).multiply(x1).add(y1.subtract(y3).multiply(x2)).add(y2.subtract(y1).multiply(x3)); X=B.subtract(C).multiply(y1).add(C.subtract(A).multiply(y2)).add(A.subtract(B).multiply(y3)).divide(BigDecimal.valueOf(2)); Y=C.subtract(B).multiply(x1).add(A.subtract(C).multiply(x2)).add(B.subtract(A).multiply(x3)).divide(BigDecimal.valueOf(2)); x0=x0.multiply(G); y0=y0.multiply(G); x1=x1.multiply(G); y1=y1.multiply(G); BigDecimal a=x0.subtract(X).multiply(x0.subtract(X)).add( y0.subtract(Y).multiply(y0.subtract(Y))); BigDecimal b=x1.subtract(X).multiply(x1.subtract(X)).add( y1.subtract(Y).multiply(y1.subtract(Y))); if(a.compareTo(b)>0) System.out.println("Accepted"); else System.out.println("Rejected"); } } }
以上是关于poj 6206 Apple的主要内容,如果未能解决你的问题,请参考以下文章