#410083 (Java21) No.955 ax^2+bx+c=0

• 問題: No.955 ax^2+bx+c=0
• ユーザー: uwi
• 提出日時: 2019-12-18 15:06:08
• 言語: Java21 (openjdk 21)
• 結果: AC
• 実行時間: 170 ms / 2,000 ms
• コード長: 5,944 bytes
• コンパイル時間: 5,509 ms
• コンパイル使用メモリ: 83,912 KB
• 実行使用メモリ: 58,852 KB
• 最終ジャッジ日時: 2023-10-19 02:12:34
• 合計ジャッジ時間: 19,979 ms
• ジャッジサーバーID （参考情報）: judge11 / judge12

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	111 ms; 56,708 KB
testcase_01	AC	107 ms; 57,872 KB
testcase_02	AC	56 ms; 53,556 KB
testcase_03	AC	56 ms; 53,564 KB
testcase_04	AC	54 ms; 52,500 KB
testcase_05	AC	56 ms; 53,564 KB
testcase_06	AC	55 ms; 53,564 KB
testcase_07	AC	57 ms; 53,548 KB
testcase_08	AC	57 ms; 52,532 KB
testcase_09	AC	55 ms; 53,564 KB
testcase_10	AC	56 ms; 53,556 KB
testcase_11	AC	55 ms; 53,560 KB
testcase_12	AC	55 ms; 53,560 KB
testcase_13	AC	54 ms; 53,556 KB
testcase_14	AC	97 ms; 57,972 KB
testcase_15	AC	106 ms; 57,888 KB
testcase_16	AC	96 ms; 57,792 KB
testcase_17	AC	106 ms; 57,852 KB
testcase_18	AC	109 ms; 57,740 KB
testcase_19	AC	107 ms; 57,728 KB
testcase_20	AC	99 ms; 57,984 KB
testcase_21	AC	108 ms; 57,708 KB
testcase_22	AC	109 ms; 57,840 KB
testcase_23	AC	97 ms; 58,060 KB
testcase_24	AC	109 ms; 57,800 KB
testcase_25	AC	105 ms; 57,948 KB
testcase_26	AC	107 ms; 57,788 KB
testcase_27	AC	108 ms; 57,548 KB
testcase_28	AC	106 ms; 57,784 KB
testcase_29	AC	108 ms; 57,964 KB
testcase_30	AC	108 ms; 57,944 KB
testcase_31	AC	99 ms; 57,676 KB
testcase_32	AC	107 ms; 57,840 KB
testcase_33	AC	108 ms; 58,044 KB
testcase_34	AC	114 ms; 56,020 KB
testcase_35	AC	113 ms; 56,084 KB
testcase_36	AC	110 ms; 56,088 KB
testcase_37	AC	116 ms; 56,980 KB
testcase_38	AC	113 ms; 55,968 KB
testcase_39	AC	116 ms; 56,712 KB
testcase_40	AC	115 ms; 56,200 KB
testcase_41	AC	115 ms; 56,496 KB
testcase_42	AC	115 ms; 56,972 KB
testcase_43	AC	109 ms; 55,944 KB
testcase_44	AC	110 ms; 56,152 KB
testcase_45	AC	112 ms; 56,012 KB
testcase_46	AC	113 ms; 56,120 KB
testcase_47	AC	113 ms; 56,220 KB
testcase_48	AC	113 ms; 56,120 KB
testcase_49	AC	117 ms; 56,180 KB
testcase_50	AC	111 ms; 55,980 KB
testcase_51	AC	113 ms; 56,116 KB
testcase_52	AC	113 ms; 54,136 KB
testcase_53	AC	111 ms; 56,160 KB
testcase_54	AC	113 ms; 56,168 KB
testcase_55	AC	113 ms; 55,932 KB
testcase_56	AC	115 ms; 56,032 KB
testcase_57	AC	112 ms; 56,124 KB
testcase_58	AC	170 ms; 57,988 KB
testcase_59	AC	166 ms; 58,512 KB
testcase_60	AC	56 ms; 53,564 KB
testcase_61	AC	56 ms; 52,528 KB
testcase_62	AC	111 ms; 56,732 KB
testcase_63	AC	112 ms; 56,120 KB
testcase_64	AC	54 ms; 53,556 KB
testcase_65	AC	110 ms; 56,116 KB
testcase_66	AC	54 ms; 53,504 KB
testcase_67	AC	109 ms; 56,536 KB
testcase_68	AC	55 ms; 53,560 KB
testcase_69	AC	113 ms; 56,120 KB
testcase_70	AC	111 ms; 56,196 KB
testcase_71	AC	56 ms; 53,560 KB
testcase_72	AC	56 ms; 52,540 KB
testcase_73	AC	113 ms; 56,068 KB
testcase_74	AC	112 ms; 56,224 KB
testcase_75	AC	55 ms; 53,564 KB
testcase_76	AC	56 ms; 53,512 KB
testcase_77	AC	110 ms; 56,516 KB
testcase_78	AC	114 ms; 56,744 KB
testcase_79	AC	110 ms; 55,816 KB
testcase_80	AC	55 ms; 53,560 KB
testcase_81	AC	113 ms; 56,052 KB
testcase_82	AC	106 ms; 57,800 KB
testcase_83	AC	110 ms; 57,748 KB
testcase_84	AC	112 ms; 57,676 KB
testcase_85	AC	110 ms; 57,644 KB
testcase_86	AC	108 ms; 57,804 KB
testcase_87	AC	107 ms; 57,792 KB
testcase_88	AC	110 ms; 57,768 KB
testcase_89	AC	107 ms; 57,844 KB
testcase_90	AC	112 ms; 57,736 KB
testcase_91	AC	109 ms; 57,768 KB
testcase_92	AC	56 ms; 53,556 KB
testcase_93	AC	55 ms; 53,560 KB
testcase_94	AC	107 ms; 57,744 KB
testcase_95	AC	98 ms; 57,820 KB
testcase_96	AC	110 ms; 57,832 KB
testcase_97	AC	109 ms; 57,744 KB
testcase_98	AC	110 ms; 57,944 KB
testcase_99	AC	108 ms; 57,680 KB
testcase_100	AC	55 ms; 53,560 KB
testcase_101	AC	109 ms; 57,924 KB
testcase_102	AC	107 ms; 57,928 KB
testcase_103	AC	111 ms; 57,892 KB
testcase_104	AC	106 ms; 57,756 KB
testcase_105	AC	105 ms; 57,776 KB
testcase_106	AC	106 ms; 57,736 KB
testcase_107	AC	111 ms; 58,024 KB
testcase_108	AC	106 ms; 57,848 KB
testcase_109	AC	107 ms; 57,804 KB
testcase_110	AC	109 ms; 57,740 KB
testcase_111	AC	107 ms; 57,876 KB
testcase_112	AC	108 ms; 57,964 KB
testcase_113	AC	106 ms; 57,888 KB
testcase_114	AC	109 ms; 58,088 KB
testcase_115	AC	94 ms; 57,808 KB
testcase_116	AC	108 ms; 57,736 KB
testcase_117	AC	108 ms; 57,836 KB
testcase_118	AC	107 ms; 57,944 KB
testcase_119	AC	107 ms; 57,796 KB
testcase_120	AC	108 ms; 57,652 KB
testcase_121	AC	108 ms; 57,796 KB
testcase_122	AC	109 ms; 55,920 KB
testcase_123	AC	156 ms; 58,840 KB
testcase_124	AC	157 ms; 58,852 KB

ソースコード

package adv2019;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.math.BigDecimal;
import java.math.MathContext;
import java.util.Arrays;
import java.util.InputMismatchException;

public class D17_2 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		long a = nl(), b = nl(), c = nl();
		long[][] res = solveQuad(a, b, c);
		if(res == null){
			out.println(-1);
		}else{
			out.println(res.length);
			for(long[] u : res){
				out.println(
				BigDecimal.valueOf(u[0]).add(BigDecimal.valueOf(u[1]).multiply(sqrt(u[2]), cx))
				.divide(BigDecimal.valueOf(u[3]), cx).toPlainString());
				
//				out.printf("%.20f\n", (u[0] + u[1] * Math.sqrt(u[2])) / u[3]);
			}
		}
	}
	
	MathContext cx = new MathContext(128);
	
	BigDecimal sqrt(long a)
	{
		BigDecimal cur = BigDecimal.ONE;
		// (x+a/x)/2
		for(int rep = 0;rep < 200;rep++){
			cur = cur.add(BigDecimal.valueOf(a).divide(cur, cx)).divide(BigDecimal.valueOf(2), cx);
		}
		return cur;
	}
	
	public static long[][] solveQuad(long A, long B, long C)
	{
		if(A == 0){
			if(B == 0){
				return C == 0 ? null : new long[0][];
			}else{
				return new long[][]{reducex(new long[]{-C, 0, 0, B})};
			}
		}
		
		long D = B*B-4*A*C;
		if(D < 0){
			return new long[0][];
		}else if(D == 0){
			return new long[][]{reducex(new long[]{-B, 0, 0, 2L*A})};
		}else{
			if(A > 0){
				return new long[][]{
						reducex(new long[]{-B, -1, D, 2L*A}),
						reducex(new long[]{-B, 1, D, 2L*A})
				};
			}else{
				return new long[][]{
						reducex(new long[]{-B, 1, D, 2L*A}),
						reducex(new long[]{-B, -1, D, 2L*A})
				};
			}
		}
	}
	
	public static long gcd(long a, long b) {
		while (b > 0) {
			long c = a;
			a = b;
			b = c % b;
		}
		return a;
	}
	
	
	public static long[] reducex(long[] f)
	{
		if(f[2] == 0)return f;
		long g = gcd(Math.abs(f[0]), Math.abs(f[3]));
		if(g == 0)return f;
		for(long p = 2;p*p <= g;p++){
			if(g % p == 0 && f[2] % (p*p) == 0){
				f[2] /= p*p;
				g /= p;
				f[0] /= p;
				f[3] /= p;
			}
		}
		
		return f;
//		// f[2] < 0 ??
//		if(f[2] == 0)f[1] = 0;
//		if(f[1] == 0)f[2] = 0;
//		if(f[2] == 0 || f[1] == 0){
//			// normal fraction
//			if(f[3] == 0) { // n/0
//				f[0] = 1;
//			}else if(f[0] == 0) { // 0/n
//				f[3] = 1;
//			}else {
//				if(f[3] < 0) { // -a/-b ->a/b
//					f[0] = -f[0];
//					f[3] = -f[3];
//				}
//				long a = Math.abs(f[0]), b = f[3];
//				while (b > 0) {
//					long c = a;
//					a = b;
//					b = c % b;
//				}
//				f[0] /= a;
//				f[3] /= a;
//			}
//		}else{
//			for(long p = 2;p * p <= f[2];p++){
//				while(f[2] % (p*p) == 0){
//					f[1] *= p;
//					f[2] /= p*p;
//				}
//			}
//			if(f[3] == 0) { // n/0
//				f[0] = 1;
//				f[1] = f[2] = 0;
//			}else {
//				if(f[3] < 0) { // -a/-b ->a/b
//					f[0] = -f[0];
//					f[1] = -f[1];
//					f[3] = -f[3];
//				}
//				long a = Math.abs(f[0]), b = f[3];
//				while (b > 0) {
//					long c = a;
//					a = b;
//					b = c % b;
//				}
//				b = Math.abs(f[1]);
//				while (b > 0) {
//					long c = a;
//					a = b;
//					b = c % b;
//				}
//				
//				f[0] /= a;
//				f[1] /= a;
//				f[3] /= a;
//			}
//		}
//		return f;
	}

	
	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 D17_2().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)); }
}