#225417 (Java21) No.622 点と三角柱の内外判定

提出ソース

結果

問題	No.622 点と三角柱の内外判定
ユーザー	uwi
提出日時	2017-12-22 00:11:21
言語	Java21 (openjdk 21)
結果	AC
実行時間	63 ms / 1,500 ms
コード長	4,872 bytes
コンパイル時間	4,235 ms
コンパイル使用メモリ	88,476 KB
実行使用メモリ	37,284 KB
最終ジャッジ日時	2024-05-10 02:43:42
合計ジャッジ時間	7,118 ms
ジャッジサーバーID （参考情報）	judge3 / judge2

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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	56 ms 36,864 KB
testcase_01	AC	57 ms 36,820 KB
testcase_02	AC	58 ms 36,812 KB
testcase_03	AC	62 ms 36,812 KB
testcase_04	AC	56 ms 37,100 KB
testcase_05	AC	55 ms 36,800 KB
testcase_06	AC	62 ms 37,096 KB
testcase_07	AC	56 ms 37,284 KB
testcase_08	AC	58 ms 37,048 KB
testcase_09	AC	57 ms 37,156 KB
testcase_10	AC	60 ms 37,040 KB
testcase_11	AC	60 ms 36,856 KB
testcase_12	AC	57 ms 37,040 KB
testcase_13	AC	60 ms 36,736 KB
testcase_14	AC	63 ms 36,784 KB
testcase_15	AC	58 ms 36,748 KB
testcase_16	AC	62 ms 37,116 KB
testcase_17	AC	56 ms 36,492 KB
testcase_18	AC	57 ms 36,820 KB
testcase_19	AC	57 ms 36,888 KB
testcase_20	AC	56 ms 36,784 KB
testcase_21	AC	56 ms 37,120 KB
testcase_22	AC	56 ms 36,728 KB
testcase_23	AC	56 ms 37,148 KB
testcase_24	AC	56 ms 36,988 KB
testcase_25	AC	57 ms 37,028 KB
testcase_26	AC	57 ms 36,884 KB
testcase_27	AC	56 ms 37,156 KB
testcase_28	AC	57 ms 37,008 KB
testcase_29	AC	56 ms 36,864 KB
testcase_30	AC	57 ms 36,832 KB
testcase_31	AC	55 ms 36,900 KB

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ソースコード

raw source code

package adv2017;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.Random;

public class N622 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		long[][] co = new long[4][];
		for(int i = 0;i < 4;i++){
			co[i] = new long[3];
			for(int j = 0;j < 3;j++){
				co[i][j] = nl();
			}
		}
		double[] a = new double[]{
				co[1][0] - co[0][0],
				co[1][1] - co[0][1],
				co[1][2] - co[0][2]
		};
		double[] b = new double[]{
				co[2][0] - co[0][0],
				co[2][1] - co[0][1],
				co[2][2] - co[0][2]
		};
		double[] nor = cross(a, b);
		double[] d = new double[]{
				co[3][0] - co[0][0],
				co[3][1] - co[0][1],
				co[3][2] - co[0][2]
		};
		// (d+nor*k)*nor = 0
		// d*nor + nor*nor*k = 0
		double nnor = 0;
		for(double u : nor)nnor += u*u;
		double dnor = 0;
		for(int i = 0;i < 3;i++){
			dnor += d[i] * nor[i];
		}
		double k = -dnor / nnor;
		for(int i = 0;i < 3;i++){
			d[i] += nor[i] * k;
		}
		// aA+bB=d
		// a(ax, ay, az) + b(bx, by, bz) = (dx, dy, dz)
		Random gen = new Random();
		double[][] M = new double[2][2];
		double[] v = new double[2];
		for(int i = 0;i < 2;i++){
			double[] cs = new double[3];
			double as = 0, bs = 0;
			double ds = 0;
			for(int j = 0;j < 3;j++){
				cs[j] = gen.nextDouble();
				as += a[j] * cs[j];
				bs += b[j] * cs[j];
				ds += d[j] * cs[j];
			}
			M[i][0] = as; 
			M[i][1] = bs;
			v[i] = ds;
		}
		double[] res = solve2x2(M, v);
		if(0 <= res[0] && res[0] <= 1 && 0 <= res[1] && res[1] <= 1 && res[0]+res[1] <= 1){
			out.println("YES");
		}else{
			out.println("NO");
		}
	}
	
	public static double[] solve2x2(double[][] M, double[] V)
	{
		double EPS = 1E-10;
		double det = M[0][0]*M[1][1]-M[0][1]*M[1][0];
		if(Math.abs(det) < EPS)return null;
		return new double[]{
				(M[1][1]*V[0]-M[0][1]*V[1])/det,
				(-M[1][0]*V[0]+M[0][0]*V[1])/det
		};
	}

	
	public static double[] cross(double[] a, double[] b)
	{
		return new double[]{
				a[1]*b[2]-a[2]*b[1],
				a[2]*b[0]-a[0]*b[2],
				a[0]*b[1]-a[1]*b[0]
		};
	}
	
	

	
	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");
//		Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){
//			@Override
//			public void run() {
//				long s = System.currentTimeMillis();
//				solve();
//				out.flush();
//				if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
//			}
//		};
//		t.start();
//		t.join();
	}
	
	public static void main(String[] args) throws Exception { new N622().run(); }
	
	private byte[] inbuf = new byte[1024];
	public 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))){ // when nextLine, (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 int[] na(int n)
	{
		int[] a = new int[n];
		for(int i = 0;i < n;i++)a[i] = ni();
		return a;
	}
	
	private long[] nal(int n)
	{
		long[] a = new long[n];
		for(int i = 0;i < n;i++)a[i] = nl();
		return a;
	}
	
	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[][] nmi(int n, int m) {
		int[][] map = new int[n][];
		for(int i = 0;i < n;i++)map[i] = na(m);
		return map;
	}
	
	private int ni() { return (int)nl(); }
	
	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)); }
}

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結果

テストケース

ソースコード