結果

問題 No.955 ax^2+bx+c=0
ユーザー uwiuwi
提出日時 2019-12-18 15:10:07
言語 Java21
(openjdk 21)
結果
AC  
実行時間 82 ms / 2,000 ms
コード長 5,942 bytes
コンパイル時間 4,491 ms
コンパイル使用メモリ 91,208 KB
実行使用メモリ 38,744 KB
最終ジャッジ日時 2024-09-18 22:12:32
合計ジャッジ時間 14,667 ms
ジャッジサーバーID
(参考情報)
judge1 / judge2
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 58 ms
37,440 KB
testcase_01 AC 58 ms
37,604 KB
testcase_02 AC 55 ms
36,512 KB
testcase_03 AC 54 ms
36,532 KB
testcase_04 AC 53 ms
36,544 KB
testcase_05 AC 53 ms
36,948 KB
testcase_06 AC 54 ms
36,668 KB
testcase_07 AC 54 ms
36,924 KB
testcase_08 AC 53 ms
36,812 KB
testcase_09 AC 54 ms
36,996 KB
testcase_10 AC 53 ms
36,764 KB
testcase_11 AC 54 ms
36,508 KB
testcase_12 AC 54 ms
36,960 KB
testcase_13 AC 54 ms
36,888 KB
testcase_14 AC 55 ms
37,204 KB
testcase_15 AC 58 ms
36,916 KB
testcase_16 AC 60 ms
37,388 KB
testcase_17 AC 56 ms
37,464 KB
testcase_18 AC 60 ms
37,288 KB
testcase_19 AC 58 ms
37,184 KB
testcase_20 AC 57 ms
37,400 KB
testcase_21 AC 57 ms
37,336 KB
testcase_22 AC 59 ms
37,352 KB
testcase_23 AC 59 ms
37,352 KB
testcase_24 AC 60 ms
37,440 KB
testcase_25 AC 59 ms
37,400 KB
testcase_26 AC 57 ms
37,464 KB
testcase_27 AC 59 ms
37,044 KB
testcase_28 AC 56 ms
37,504 KB
testcase_29 AC 57 ms
37,048 KB
testcase_30 AC 57 ms
37,336 KB
testcase_31 AC 56 ms
37,180 KB
testcase_32 AC 58 ms
37,180 KB
testcase_33 AC 58 ms
37,376 KB
testcase_34 AC 62 ms
37,400 KB
testcase_35 AC 61 ms
37,336 KB
testcase_36 AC 61 ms
37,464 KB
testcase_37 AC 63 ms
37,392 KB
testcase_38 AC 60 ms
37,284 KB
testcase_39 AC 62 ms
37,036 KB
testcase_40 AC 63 ms
37,280 KB
testcase_41 AC 61 ms
37,448 KB
testcase_42 AC 66 ms
37,092 KB
testcase_43 AC 62 ms
37,560 KB
testcase_44 AC 62 ms
37,336 KB
testcase_45 AC 62 ms
37,520 KB
testcase_46 AC 63 ms
37,184 KB
testcase_47 AC 61 ms
37,352 KB
testcase_48 AC 62 ms
37,292 KB
testcase_49 AC 61 ms
37,032 KB
testcase_50 AC 62 ms
37,288 KB
testcase_51 AC 63 ms
37,520 KB
testcase_52 AC 61 ms
37,352 KB
testcase_53 AC 62 ms
37,328 KB
testcase_54 AC 61 ms
37,332 KB
testcase_55 AC 61 ms
37,464 KB
testcase_56 AC 62 ms
37,352 KB
testcase_57 AC 62 ms
37,420 KB
testcase_58 AC 82 ms
38,744 KB
testcase_59 AC 79 ms
38,152 KB
testcase_60 AC 55 ms
36,920 KB
testcase_61 AC 53 ms
36,544 KB
testcase_62 AC 60 ms
37,256 KB
testcase_63 AC 61 ms
37,140 KB
testcase_64 AC 55 ms
36,988 KB
testcase_65 AC 60 ms
37,464 KB
testcase_66 AC 53 ms
37,040 KB
testcase_67 AC 61 ms
37,352 KB
testcase_68 AC 58 ms
36,952 KB
testcase_69 AC 64 ms
37,416 KB
testcase_70 AC 62 ms
37,172 KB
testcase_71 AC 54 ms
36,988 KB
testcase_72 AC 52 ms
36,792 KB
testcase_73 AC 61 ms
37,348 KB
testcase_74 AC 61 ms
37,180 KB
testcase_75 AC 53 ms
36,908 KB
testcase_76 AC 53 ms
36,792 KB
testcase_77 AC 58 ms
37,688 KB
testcase_78 AC 60 ms
37,352 KB
testcase_79 AC 63 ms
37,172 KB
testcase_80 AC 54 ms
36,520 KB
testcase_81 AC 62 ms
37,180 KB
testcase_82 AC 60 ms
37,516 KB
testcase_83 AC 57 ms
37,448 KB
testcase_84 AC 58 ms
37,440 KB
testcase_85 AC 58 ms
37,376 KB
testcase_86 AC 58 ms
37,288 KB
testcase_87 AC 57 ms
37,308 KB
testcase_88 AC 57 ms
37,352 KB
testcase_89 AC 57 ms
37,032 KB
testcase_90 AC 56 ms
37,584 KB
testcase_91 AC 58 ms
37,256 KB
testcase_92 AC 58 ms
36,640 KB
testcase_93 AC 55 ms
36,452 KB
testcase_94 AC 58 ms
37,420 KB
testcase_95 AC 57 ms
37,428 KB
testcase_96 AC 59 ms
37,352 KB
testcase_97 AC 58 ms
37,376 KB
testcase_98 AC 57 ms
37,356 KB
testcase_99 AC 59 ms
37,180 KB
testcase_100 AC 54 ms
36,588 KB
testcase_101 AC 57 ms
37,044 KB
testcase_102 AC 58 ms
37,520 KB
testcase_103 AC 59 ms
37,184 KB
testcase_104 AC 58 ms
37,448 KB
testcase_105 AC 60 ms
37,020 KB
testcase_106 AC 60 ms
37,308 KB
testcase_107 AC 61 ms
37,056 KB
testcase_108 AC 59 ms
37,352 KB
testcase_109 AC 57 ms
37,464 KB
testcase_110 AC 56 ms
37,092 KB
testcase_111 AC 58 ms
37,184 KB
testcase_112 AC 58 ms
37,304 KB
testcase_113 AC 58 ms
37,092 KB
testcase_114 AC 58 ms
37,448 KB
testcase_115 AC 57 ms
37,024 KB
testcase_116 AC 56 ms
37,400 KB
testcase_117 AC 58 ms
37,440 KB
testcase_118 AC 56 ms
37,448 KB
testcase_119 AC 56 ms
37,352 KB
testcase_120 AC 57 ms
37,288 KB
testcase_121 AC 58 ms
37,256 KB
testcase_122 AC 60 ms
37,568 KB
testcase_123 AC 62 ms
37,220 KB
testcase_124 AC 64 ms
37,184 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 #

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(20);
	
	BigDecimal sqrt(long a)
	{
		BigDecimal cur = BigDecimal.ONE;
		// (x+a/x)/2
		for(int rep = 0;rep < 50;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)); }
}
0