#573659 (Java21) No.1278 どんな級数？

提出ソース

結果

問題	No.1278 どんな級数？
ユーザー	uwi
提出日時	2020-10-31 00:21:07
言語	Java21 (openjdk 21)
結果	WA
実行時間	-
コード長	12,182 bytes
コンパイル時間	5,484 ms
コンパイル使用メモリ	87,476 KB
実行使用メモリ	53,120 KB
最終ジャッジ日時	2023-09-29 09:28:08
合計ジャッジ時間	12,171 ms
ジャッジサーバーID （参考情報）	judge14 / judge15

このコードへのチャレンジ
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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	75 ms 51,296 KB
testcase_01	AC	77 ms 51,152 KB
testcase_02	AC	78 ms 51,168 KB
testcase_03	AC	78 ms 51,364 KB
testcase_04	AC	76 ms 53,120 KB
testcase_05	AC	77 ms 51,252 KB
testcase_06	AC	80 ms 51,424 KB
testcase_07	AC	77 ms 51,044 KB
testcase_08	AC	79 ms 51,316 KB
testcase_09	AC	79 ms 51,064 KB
testcase_10	AC	79 ms 51,064 KB
testcase_11	AC	79 ms 51,416 KB
testcase_12	AC	78 ms 51,172 KB
testcase_13	AC	79 ms 51,408 KB
testcase_14	AC	79 ms 51,060 KB
testcase_15	AC	79 ms 51,240 KB
testcase_16	AC	79 ms 50,920 KB
testcase_17	AC	79 ms 51,564 KB
testcase_18	AC	78 ms 49,136 KB
testcase_19	AC	78 ms 51,356 KB
testcase_20	AC	78 ms 50,936 KB
testcase_21	AC	77 ms 51,060 KB
testcase_22	AC	80 ms 51,332 KB
testcase_23	WA	-
testcase_24	WA	-
testcase_25	WA	-
testcase_26	WA	-
testcase_27	WA	-
testcase_28	WA	-
testcase_29	WA	-
testcase_30	WA	-
testcase_31	WA	-
testcase_32	WA	-
testcase_33	WA	-
testcase_34	WA	-
testcase_35	WA	-
testcase_36	WA	-
testcase_37	WA	-
testcase_38	WA	-
testcase_39	WA	-
testcase_40	WA	-
testcase_41	WA	-
testcase_42	WA	-
testcase_43	WA	-
testcase_44	WA	-
testcase_45	WA	-
testcase_46	WA	-
testcase_47	WA	-
testcase_48	WA	-
testcase_49	WA	-
testcase_50	WA	-
testcase_51	WA	-
testcase_52	WA	-
testcase_53	WA	-
testcase_54	WA	-
testcase_55	WA	-
testcase_56	WA	-
testcase_57	WA	-
testcase_58	WA	-
testcase_59	WA	-
testcase_60	WA	-
testcase_61	WA	-
testcase_62	WA	-
testcase_63	WA	-
testcase_64	WA	-

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

raw source code

package contest201030;
import java.io.*;
import java.util.ArrayDeque;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.Queue;

public class H {
	InputStream is;
	FastWriter out;

	String INPUT = "";

	public void solve()
	{
//		f(a, b) = z(b, a) - f(a, b-1)
		// 1/2
		// f(1,2)=z(2,1)-1/2
		// f(1,3)=z(3,1)-z(2,1)+1/2
		// f(1,4)=z(4,1)-z(3,1)+z(2,1)-1/2

		// f(2,2)=z(2,2)-f(2,1)=f(2)

		// z(4,1)+z(2,1)
		// z(3,1)+1/2
		// sum f(1,*) = (z(2)+f(1))/2
		// sum f(2,*) = (z(3)+f(2))/2
		//
		// f(x)=z(x)-z(x-1)+...
		// sum f(x)=3/4
		// sum z = 1
		// (1+3/4)/2 = 7/8

		// f(1,1,*)=(z(2,1)+f(1,1))/2
		// f(1,2,*)=(z(3,1)+f(1,2))/2

		// f(1,*,*)=(z(2)+S1)/2
		// f(2,*,*)=(z(3)+S1)/2

		// f(a, 1) = f(a) = z(a) - f(a-1)
		//
		// z(b, a) - z(b-1, a)

		// 1:0.75
		//

		// z(2)-1-0.5 + 0.5 = z(2)-1
		// f(3)+f(2,1)+f(1,2)+f(1,1,1)
		// z(3)-(z(2)-1-0.5) + (z(2)-1-0.5)
		//  + z(3)-z(2)+0.5 + 0.5
		// S(3)=2z(3)-z(2)+1
		//

		// f(1) = 0.5
		// f(2) = z(2)-1-0.5
		// f(3) = z(3)-(z(2)-1-0.5)
		// ...
		//
		// f(1,1)=0.5
		// f(1,2)=z(3)+1-z(2) - f(1,1)
		// f(1,3)=-z(3)+1+z(4) - f(1,2)
		// z(4)-z(3)+1 - (z(3)-z(2)+1-1/2)
		// z(4)-2z(3)+1/2

		// f(1,1)+f(2)
		// 1/2+z(2)-1/2=z(2)

		// f(1,1,1)+f(2,1)+f(1,2)+f(3)
		// 1/2+z(2)-1/2+z(2,1)-1/2+z(3)-z(2)+1/2
		// z(2,1)+z(3)
		// 2z(3)

		// f(1,1,1,1)+f(2,1,1)+f(1,2,1)+f(1,1,2)
		// f(1,3)+f(2,2)+f(3,1)+f(4)

		// 1/2+z(2)-1/2+z(2,1)-1/2+z(2,1,1)-1/2
		// +z(3,1)-z(2,1)+1/2+z(2,2)-f(2)+
		// z(3)-z(2)+1/2+z(4)-z(3)+z(2)-1/2

		// z(2)+z(2,1,1)-1/2
		// +z(3,1)+z(2,2)-(z(2)-1/2)+
		// z(4)

		// 2z(4)

		// 1/2+z2-1/2+

		int T = ni();
		if(T == 1){
			int K = ni();
			double ans = 0.75;
			for(int i = 2;i <= K;i++){
				ans = (1+ans)/2;
			}
			out.println(ans, 14);
		}else{
			int K = ni();
			if(K == 2){
				out.println(Math.PI*Math.PI/6-1, 14);
			}else {
				double ans = 0;
				for (int i = 2; i <= 10000; i++) {
					ans += Math.pow(1./i, K);
				}
				out.println((K-1)*ans, 14);
			}
		}
	}

	public static void main(String[] args) {
		new H().run();
	}

	public void run()
	{
		long S = System.currentTimeMillis();
		is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
		out = new FastWriter(System.out);

		solve();
		out.flush();
		long G = System.currentTimeMillis();
		tr(G-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();
	}

	private boolean eof()
	{
		if(lenbuf == -1)return true;
		int lptr = ptrbuf;
		while(lptr < lenbuf)if(!isSpaceChar(inbuf[lptr++]))return false;

		try {
			is.mark(1000);
			while(true){
				int b = is.read();
				if(b == -1){
					is.reset();
					return true;
				}else if(!isSpaceChar(b)){
					is.reset();
					return false;
				}
			}
		} catch (IOException e) {
			return true;
		}
	}

	private final 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 boolean isSpaceChar(int c) { return !(c >= 32 && 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))){
			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 long[] nal(int n)
	{
		long[] a = new long[n];
		for(int i = 0;i < n;i++)a[i] = nl();
		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();
		}
	}

	public static class FastWriter
	{
		private static final int BUF_SIZE = 1<<13;
		private final byte[] buf = new byte[BUF_SIZE];
		private final OutputStream out;
		private int ptr = 0;

		private FastWriter(){out = null;}

		public FastWriter(OutputStream os)
		{
			this.out = os;
		}

		public FastWriter(String path)
		{
			try {
				this.out = new FileOutputStream(path);
			} catch (FileNotFoundException e) {
				throw new RuntimeException("FastWriter");
			}
		}

		public FastWriter write(byte b)
		{
			buf[ptr++] = b;
			if(ptr == BUF_SIZE)innerflush();
			return this;
		}

		public FastWriter write(char c)
		{
			return write((byte)c);
		}

		public FastWriter write(char[] s)
		{
			for(char c : s){
				buf[ptr++] = (byte)c;
				if(ptr == BUF_SIZE)innerflush();
			}
			return this;
		}

		public FastWriter write(String s)
		{
			s.chars().forEach(c -> {
				buf[ptr++] = (byte)c;
				if(ptr == BUF_SIZE)innerflush();
			});
			return this;
		}

		private static int countDigits(int l) {
			if (l >= 1000000000) return 10;
			if (l >= 100000000) return 9;
			if (l >= 10000000) return 8;
			if (l >= 1000000) return 7;
			if (l >= 100000) return 6;
			if (l >= 10000) return 5;
			if (l >= 1000) return 4;
			if (l >= 100) return 3;
			if (l >= 10) return 2;
			return 1;
		}

		public FastWriter write(int x)
		{
			if(x == Integer.MIN_VALUE){
				return write((long)x);
			}
			if(ptr + 12 >= BUF_SIZE)innerflush();
			if(x < 0){
				write((byte)'-');
				x = -x;
			}
			int d = countDigits(x);
			for(int i = ptr + d - 1;i >= ptr;i--){
				buf[i] = (byte)('0'+x%10);
				x /= 10;
			}
			ptr += d;
			return this;
		}

		private static int countDigits(long l) {
			if (l >= 1000000000000000000L) return 19;
			if (l >= 100000000000000000L) return 18;
			if (l >= 10000000000000000L) return 17;
			if (l >= 1000000000000000L) return 16;
			if (l >= 100000000000000L) return 15;
			if (l >= 10000000000000L) return 14;
			if (l >= 1000000000000L) return 13;
			if (l >= 100000000000L) return 12;
			if (l >= 10000000000L) return 11;
			if (l >= 1000000000L) return 10;
			if (l >= 100000000L) return 9;
			if (l >= 10000000L) return 8;
			if (l >= 1000000L) return 7;
			if (l >= 100000L) return 6;
			if (l >= 10000L) return 5;
			if (l >= 1000L) return 4;
			if (l >= 100L) return 3;
			if (l >= 10L) return 2;
			return 1;
		}

		public FastWriter write(long x)
		{
			if(x == Long.MIN_VALUE){
				return write("" + x);
			}
			if(ptr + 21 >= BUF_SIZE)innerflush();
			if(x < 0){
				write((byte)'-');
				x = -x;
			}
			int d = countDigits(x);
			for(int i = ptr + d - 1;i >= ptr;i--){
				buf[i] = (byte)('0'+x%10);
				x /= 10;
			}
			ptr += d;
			return this;
		}

		public FastWriter write(double x, int precision)
		{
			if(x < 0){
				write('-');
				x = -x;
			}
			x += Math.pow(10, -precision)/2;
			//		if(x < 0){ x = 0; }
			write((long)x).write(".");
			x -= (long)x;
			for(int i = 0;i < precision;i++){
				x *= 10;
				write((char)('0'+(int)x));
				x -= (int)x;
			}
			return this;
		}

		public FastWriter writeln(char c){
			return write(c).writeln();
		}

		public FastWriter writeln(int x){
			return write(x).writeln();
		}

		public FastWriter writeln(long x){
			return write(x).writeln();
		}

		public FastWriter writeln(double x, int precision){
			return write(x, precision).writeln();
		}

		public FastWriter write(int... xs)
		{
			boolean first = true;
			for(int x : xs) {
				if (!first) write(' ');
				first = false;
				write(x);
			}
			return this;
		}

		public FastWriter write(long... xs)
		{
			boolean first = true;
			for(long x : xs) {
				if (!first) write(' ');
				first = false;
				write(x);
			}
			return this;
		}

		public FastWriter writeln()
		{
			return write((byte)'\n');
		}

		public FastWriter writeln(int... xs)
		{
			return write(xs).writeln();
		}

		public FastWriter writeln(long... xs)
		{
			return write(xs).writeln();
		}

		public FastWriter writeln(char[] line)
		{
			return write(line).writeln();
		}

		public FastWriter writeln(char[]... map)
		{
			for(char[] line : map)write(line).writeln();
			return this;
		}

		public FastWriter writeln(String s)
		{
			return write(s).writeln();
		}

		private void innerflush()
		{
			try {
				out.write(buf, 0, ptr);
				ptr = 0;
			} catch (IOException e) {
				throw new RuntimeException("innerflush");
			}
		}

		public void flush()
		{
			innerflush();
			try {
				out.flush();
			} catch (IOException e) {
				throw new RuntimeException("flush");
			}
		}

		public FastWriter print(byte b) { return write(b); }
		public FastWriter print(char c) { return write(c); }
		public FastWriter print(char[] s) { return write(s); }
		public FastWriter print(String s) { return write(s); }
		public FastWriter print(int x) { return write(x); }
		public FastWriter print(long x) { return write(x); }
		public FastWriter print(double x, int precision) { return write(x, precision); }
		public FastWriter println(char c){ return writeln(c); }
		public FastWriter println(int x){ return writeln(x); }
		public FastWriter println(long x){ return writeln(x); }
		public FastWriter println(double x, int precision){ return writeln(x, precision); }
		public FastWriter print(int... xs) { return write(xs); }
		public FastWriter print(long... xs) { return write(xs); }
		public FastWriter println(int... xs) { return writeln(xs); }
		public FastWriter println(long... xs) { return writeln(xs); }
		public FastWriter println(char[] line) { return writeln(line); }
		public FastWriter println(char[]... map) { return writeln(map); }
		public FastWriter println(String s) { return writeln(s); }
		public FastWriter println() { return writeln(); }
	}

	public static void trnz(int... o)
	{
		for(int i = 0;i < o.length;i++)if(o[i] != 0)System.out.print(i+":"+o[i]+" ");
		System.out.println();
	}

	// print ids which are 1
	public static void trt(long... o)
	{
		Queue<Integer> stands = new ArrayDeque<>();
		for(int i = 0;i < o.length;i++){
			for(long x = o[i];x != 0;x &= x-1)stands.add(i<<6|Long.numberOfTrailingZeros(x));
		}
		System.out.println(stands);
	}

	public static void tf(boolean... r)
	{
		for(boolean x : r)System.out.print(x?'#':'.');
		System.out.println();
	}

	public static void tf(boolean[]... b)
	{
		for(boolean[] r : b) {
			for(boolean x : r)System.out.print(x?'#':'.');
			System.out.println();
		}
		System.out.println();
	}

	public void tf(long[]... b)
	{
		if(INPUT.length() != 0) {
			for (long[] r : b) {
				for (long x : r) {
					for (int i = 0; i < 64; i++) {
						System.out.print(x << ~i < 0 ? '#' : '.');
					}
				}
				System.out.println();
			}
			System.out.println();
		}
	}

	public void tf(long... b)
	{
		if(INPUT.length() != 0) {
			for (long x : b) {
				for (int i = 0; i < 64; i++) {
					System.out.print(x << ~i < 0 ? '#' : '.');
				}
			}
			System.out.println();
		}
	}

	private void tr(Object... o) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); }
}

yukicoder

結果

テストケース

ソースコード