結果

問題 No.622 点と三角柱の内外判定
ユーザー yuya178yuya178
提出日時 2017-12-22 05:29:34
言語 Java21
(openjdk 21)
結果
AC  
実行時間 90 ms / 1,500 ms
コード長 5,765 bytes
コンパイル時間 2,393 ms
コンパイル使用メモリ 81,120 KB
実行使用メモリ 53,756 KB
最終ジャッジ日時 2024-05-09 18:48:05
合計ジャッジ時間 6,094 ms
ジャッジサーバーID
(参考情報)
judge4 / judge3
このコードへのチャレンジ
(要ログイン)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 79 ms
53,664 KB
testcase_01 AC 80 ms
53,596 KB
testcase_02 AC 79 ms
53,632 KB
testcase_03 AC 78 ms
53,692 KB
testcase_04 AC 81 ms
53,748 KB
testcase_05 AC 82 ms
53,324 KB
testcase_06 AC 81 ms
53,356 KB
testcase_07 AC 80 ms
53,516 KB
testcase_08 AC 82 ms
53,648 KB
testcase_09 AC 82 ms
53,360 KB
testcase_10 AC 81 ms
53,408 KB
testcase_11 AC 83 ms
53,528 KB
testcase_12 AC 81 ms
53,756 KB
testcase_13 AC 82 ms
53,588 KB
testcase_14 AC 82 ms
53,648 KB
testcase_15 AC 81 ms
53,560 KB
testcase_16 AC 80 ms
53,648 KB
testcase_17 AC 79 ms
53,544 KB
testcase_18 AC 81 ms
53,668 KB
testcase_19 AC 81 ms
53,528 KB
testcase_20 AC 84 ms
53,720 KB
testcase_21 AC 84 ms
53,640 KB
testcase_22 AC 83 ms
53,716 KB
testcase_23 AC 81 ms
53,756 KB
testcase_24 AC 81 ms
53,560 KB
testcase_25 AC 81 ms
53,660 KB
testcase_26 AC 79 ms
53,524 KB
testcase_27 AC 79 ms
53,708 KB
testcase_28 AC 79 ms
53,700 KB
testcase_29 AC 83 ms
53,552 KB
testcase_30 AC 83 ms
53,492 KB
testcase_31 AC 90 ms
53,676 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

import java.io.*;
import java.util.*;
import java.math.*;
// import java.awt.Point;
 
public class Main {
    InputStream is;
    PrintWriter out;
    String INPUT = "";
 
    long MOD = 1_000_000_007;
    int inf = Integer.MAX_VALUE;

    void solve()
    {
        double[] a = new double[3];
        double[] b = new double[3];
        double[] c = new double[3];
        double[] d = new double[3];
        String[] s;
        s = ns().split(" ");
        for(int i = 0; i < 3; i++) a[i] = Double.parseDouble(s[i]);
        s = ns().split(" "); 
        for(int i = 0; i < 3; i++) b[i] = Double.parseDouble(s[i]);
        s = ns().split(" ");
        for(int i = 0; i < 3; i++) c[i] = Double.parseDouble(s[i]);
        s = ns().split(" ");
        for(int i = 0; i < 3; i++) d[i] = Double.parseDouble(s[i]);

        double[] ab = new double[]{a[0]-b[0], a[1]-b[1], a[2]-b[2]};
        double[] ac = new double[]{a[0]-c[0], a[1]-c[1], a[2]-c[2]};
        double[] w = new double[3];
        for(int i = 0; i < 3; i++){
            w[i] = ab[(i+1)%3]*ac[(i+2)%3]-ab[(i+2)%3]*ac[(i+1)%3];
        }
        double left = -inf;
        double right = inf;
        for(int i = 0; i < 100000; i++){
            double x = (left+left+right)/3;
            double y = (left+right+right)/3;
            double res1 = go(x,ab,ac,a,d,w);
            double res2 = go(y,ab,ac,a,d,w);
            if(res1 > res2) left = x;
            else right = y;
            // if(Math.max(res1,res2)<1e-5) break;
        }
        double[] r = new double[3];
        double[] dx = new double[3];
        for(int i = 0; i < 3; i++){
            dx[i] = d[i] + left*w[i];
        }
        r[0] = judge(a,b,dx);
        r[1] = judge(b,c,dx);
        r[2] = judge(c,a,dx);
        if((r[0]>=0&&r[1]>=0&&r[2]>=0)||(r[0]<0&&r[1]<0&&r[2]<0)) out.println("YES");
        else out.println("NO");

    }   

    double go(double res, double[] ab, double[] ac, double[] a, double[] d, double[] w){
        double[] adx = new double[3];
        for(int i = 0; i < 3; i++){
            adx[i] = d[i] + res*w[i] - a[i];
        }
        double det = 0;
        for(int i = 0; i < 3; i++){
            det += ab[i%3]*ac[(i+1)%3]*adx[(i+2)%3];
            det -= ab[i%3]*ac[(i+2)%3]*adx[(i+4)%3];
        }
        return Math.abs(det);
    }

    double judge(double[] a, double[] b, double[] p){
        double res = 0;
        double[] ab = new double[]{a[0]-b[0], a[1]-b[1], a[2]-b[2]};
        double[] bp = new double[]{b[0]-p[0], b[1]-p[1], b[2]-p[2]};
        double[] w = new double[3];
        for(int i = 0; i < 3; i++){
            w[i] = ab[(i+1)%3]*bp[(i+2)%3]-ab[(i+2)%3]*bp[(i+1)%3];
        }
        return w[2];
    }
    
    void run() throws Exception
    {
        is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
        out = new PrintWriter(System.out);
        
        long s = System.currentTimeMillis();
        solve();
        out.flush();
        if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
    }
    
    public static void main(String[] args) throws Exception { new Main().run(); }
    
    private byte[] inbuf = new byte[1024];
    private int lenbuf = 0, ptrbuf = 0;
    
    private int readByte()
    {
        if(lenbuf == -1)throw new InputMismatchException();
        if(ptrbuf >= lenbuf){
            ptrbuf = 0;
            try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }
            if(lenbuf <= 0)return -1;
        }
        return inbuf[ptrbuf++];
    }
    
    private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }
    private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }
    
    private double nd() { return Double.parseDouble(ns()); }
    private char nc() { return (char)skip(); }
    
    private String ns()
    {
        int b = skip();
        StringBuilder sb = new StringBuilder();
        while(!(isSpaceChar(b) && b != ' ')){
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }
    
    private char[] ns(int n)
    {
        char[] buf = new char[n];
        int b = skip(), p = 0;
        while(p < n && !(isSpaceChar(b))){
            buf[p++] = (char)b;
            b = readByte();
        }
        return n == p ? buf : Arrays.copyOf(buf, p);
    }
    
    private char[][] nm(int n, int m)
    {
        char[][] map = new char[n][];
        for(int i = 0;i < n;i++)map[i] = ns(m);
        return map;
    }
    
    private int[] na(int n)
    {
        int[] a = new int[n];
        for(int i = 0;i < n;i++)a[i] = ni();
        return a;
    }
    
    private int ni()
    {
        int num = 0, b;
        boolean minus = false;
        while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
        if(b == '-'){
            minus = true;
            b = readByte();
        }
        
        while(true){
            if(b >= '0' && b <= '9'){
                num = num * 10 + (b - '0');
            }else{
                return minus ? -num : num;
            }
            b = readByte();
        }
    }
    
    private long nl()
    {
        long num = 0;
        int b;
        boolean minus = false;
        while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
        if(b == '-'){
            minus = true;
            b = readByte();
        }
        
        while(true){
            if(b >= '0' && b <= '9'){
                num = num * 10 + (b - '0');
            }else{
                return minus ? -num : num;
            }
            b = readByte();
        }
    }
    
    private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); }
 
}
0