HDU

2017 ACM/ICPC Asia Regional Qingdao Online 1001

Apple

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.

 

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

AcceptedRejectedRejected

 

Source

2017 ACM/ICPC Asia Regional Qingdao Online

 

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liuyiding

 

解题思路：胜利属于JAVA。我现在只想看看C++高精度怎么做……

import java.math.BigDecimal;import java.math.BigInteger;import java.util.Scanner;public class Main {    public static void main (String[] args) {        Scanner stdin = new Scanner(System.in);        Main m = new Main();        int T = stdin.nextInt();        for(int i=0;i<T;i++){            BigDecimal x1 = BigDecimal.valueOf(stdin.nextLong());            BigDecimal y1 = BigDecimal.valueOf(stdin.nextLong());            BigDecimal x2 = BigDecimal.valueOf(stdin.nextLong());            BigDecimal y2 = BigDecimal.valueOf(stdin.nextLong());            BigDecimal x3 = BigDecimal.valueOf(stdin.nextLong());            BigDecimal y3 = BigDecimal.valueOf(stdin.nextLong());            BigDecimal x = BigDecimal.valueOf(stdin.nextLong());            BigDecimal y = BigDecimal.valueOf(stdin.nextLong());            BigDecimal                    resx_part1 = y3.subtract(y1),                    resx_part2 = y2.multiply(y2).subtract(y1.multiply(y1)).add(x2.multiply(x2)).subtract(x1.multiply(x1)),                    resx_part3 = y2.subtract(y1),                    resx_part4 = y1.multiply(y1).subtract(y3.multiply(y3)).add(x1.multiply(x1)).subtract(x3.multiply(x3)),                    resx_partA = resx_part1.multiply(resx_part2),                    resx_partB = resx_part3.multiply(resx_part4),                    resx_partAlpha = resx_partA.add(resx_partB),                    resx_part5 = BigDecimal.valueOf(2).multiply(x2.subtract(x1)).multiply(y3.subtract(y1)),                    resx_part6 = BigDecimal.valueOf(2).multiply(x3.subtract(x1)).multiply(y2.subtract(y1)),                    resx_partBeta = resx_part5.subtract(resx_part6),                    resx = resx_partAlpha.divide(resx_partBeta),                    resy_part1 = x3.subtract(x1),                    resy_part2 = x2.multiply(x2).subtract(x1.multiply(x1)).add(y2.multiply(y2)).subtract(y1.multiply(y1)),                    resy_part3 = x2.subtract(x1),                    resy_part4 = x1.multiply(x1).subtract(x3.multiply(x3)).add(y1.multiply(y1)).subtract(y3.multiply(y3)),                    resy_partA = resy_part1.multiply(resy_part2),                    resy_partB = resy_part3.multiply(resy_part4),                    resy_partAlpha = resy_partA.add(resy_partB),                    resy_part5 = BigDecimal.valueOf(2).multiply(y2.subtract(y1)).multiply(x3.subtract(x1)),                    resy_part6 = BigDecimal.valueOf(2).multiply(y3.subtract(y1)).multiply(x2.subtract(x1)),                    resy_partBeta = resy_part5.subtract(resy_part6),                    resy = resy_partAlpha.divide(resy_partBeta),                    deltax1 = x1.subtract(resx),                    deltay1 = y1.subtract(resy),                    deltax1sq = deltax1.multiply(deltax1),                    deltay1sq = deltay1.multiply(deltay1),                    rsq = deltax1sq.add(deltay1sq);            BigDecimal a = x.subtract(resx);            BigDecimal b = y.subtract(resy);            BigDecimal aa =                    a.multiply(a).add(b.multiply(b));            if(aa.compareTo(rsq)==1){                System.out.println("Accepted");            }else{                System.out.println("Rejected");            }        }    }}