結果

問題 No.1501 酔歩
ユーザー uwiuwi
提出日時 2021-05-07 22:25:32
言語 Java19
(openjdk 21)
結果
AC  
実行時間 126 ms / 2,000 ms
コード長 16,399 bytes
コンパイル時間 5,582 ms
コンパイル使用メモリ 103,624 KB
実行使用メモリ 55,108 KB
最終ジャッジ日時 2023-10-13 13:40:31
合計ジャッジ時間 13,064 ms
ジャッジサーバーID
(参考情報)
judge15 / judge13
このコードへのチャレンジ(β)

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 84 ms
53,364 KB
testcase_01 AC 53 ms
50,432 KB
testcase_02 AC 83 ms
53,520 KB
testcase_03 AC 84 ms
53,348 KB
testcase_04 AC 62 ms
51,248 KB
testcase_05 AC 118 ms
54,464 KB
testcase_06 AC 114 ms
54,620 KB
testcase_07 AC 116 ms
54,612 KB
testcase_08 AC 98 ms
53,512 KB
testcase_09 AC 113 ms
54,892 KB
testcase_10 AC 101 ms
53,392 KB
testcase_11 AC 114 ms
54,616 KB
testcase_12 AC 112 ms
54,728 KB
testcase_13 AC 62 ms
51,024 KB
testcase_14 AC 62 ms
50,872 KB
testcase_15 AC 71 ms
50,968 KB
testcase_16 AC 62 ms
50,856 KB
testcase_17 AC 61 ms
51,336 KB
testcase_18 AC 73 ms
51,048 KB
testcase_19 AC 62 ms
50,968 KB
testcase_20 AC 62 ms
51,096 KB
testcase_21 AC 72 ms
51,080 KB
testcase_22 AC 121 ms
54,764 KB
testcase_23 AC 120 ms
54,808 KB
testcase_24 AC 123 ms
54,644 KB
testcase_25 AC 126 ms
54,540 KB
testcase_26 AC 121 ms
54,540 KB
testcase_27 AC 120 ms
54,664 KB
testcase_28 AC 121 ms
54,768 KB
testcase_29 AC 121 ms
54,972 KB
testcase_30 AC 119 ms
54,580 KB
testcase_31 AC 122 ms
54,696 KB
testcase_32 AC 125 ms
52,684 KB
testcase_33 AC 119 ms
54,628 KB
testcase_34 AC 119 ms
55,108 KB
testcase_35 AC 121 ms
54,636 KB
testcase_36 AC 118 ms
54,740 KB
testcase_37 AC 117 ms
54,756 KB
testcase_38 AC 119 ms
54,664 KB
testcase_39 AC 124 ms
54,668 KB
testcase_40 AC 123 ms
54,788 KB
testcase_41 AC 124 ms
54,540 KB
testcase_42 AC 121 ms
54,728 KB
testcase_43 AC 61 ms
51,056 KB
testcase_44 AC 72 ms
51,060 KB
testcase_45 AC 117 ms
54,672 KB
testcase_46 AC 115 ms
54,604 KB
testcase_47 AC 116 ms
54,752 KB
testcase_48 AC 119 ms
54,716 KB
testcase_49 AC 118 ms
54,540 KB
testcase_50 AC 115 ms
54,752 KB
testcase_51 AC 118 ms
54,592 KB
testcase_52 AC 115 ms
54,732 KB
testcase_53 AC 60 ms
51,212 KB
testcase_54 AC 88 ms
53,168 KB
testcase_55 AC 55 ms
50,444 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 contest210507;
import java.io.*;
import java.math.BigDecimal;
import java.math.BigInteger;
import java.util.*;
import java.util.function.IntUnaryOperator;
import java.util.function.LongUnaryOperator;

public class C {
	InputStream is;
	FastWriter out;

	// 1 1 1 1 1 2 1 4
	String INPUT = "";

	/*
C:\Java\jdk-14.0.2\bin\java.exe -ea "-javaagent:C:\Program Files\JetBrains\IntelliJ IDEA Community Edition 2020.2.1\lib\idea_rt.jar=50205:C:\Program Files\JetBrains\IntelliJ IDEA Community Edition 2020.2.1\bin" -Dfile.encoding=UTF-8 -classpath C:\workspaces\idea\yukicoder\bin contest210507.C2
[7, 63/64]
[6, 27/28]
[5, 15/16]
[4, 9/10]
[3, 27/32]
[2, 3/4]
[1, 9/16]
[0, 0/1]
	 */

	public void solve()
	{
		int n = ni(), K = ni();
		int[] a = na(n);
		if(n == 1){
			out.println("1/1");
			return;
		}
		if(K == 1){
			out.println(0);
			return;
		}

		long[] nf = new long[101];
		long[] f = new long[101];
		for(int i = 0;i < n-1;i++){
			f[a[i]*a[i+1]]++;
			if(i < K-1){
				nf[a[i]*a[i+1]]++;
			}
		}

		FB den = new FB(0);
		for(int i = 1;i <= 100;i++){
			den.add(new FB(f[i], i));
		}

		FB num = new FB(0);
		for(int i = 1;i <= 100;i++){
			num.add(new FB(nf[i], i));
		}
//		tr(num, den);

		num = num.div(den);
		out.println(num.toString());
	}

	public static class FB implements Comparable<FB> {
		public BigInteger num, den;

		public FB(){ this.num = BigInteger.ZERO; this.den = BigInteger.ONE; }
		public FB(long num) { this.num = BigInteger.valueOf(num); this.den = BigInteger.ONE; }
		public FB(long num, long den) { this.num = BigInteger.valueOf(num); this.den = BigInteger.valueOf(den); reduce(); }
		public FB(BigInteger num) {	this.num = num; this.den = BigInteger.ONE;}
		public FB(BigInteger num, BigInteger den) {	this.num = num;	this.den = den;	reduce();}
		public FB(BigDecimal d) {
			int scale = d.scale();
			num = d.scaleByPowerOfTen(scale).toBigInteger();
			den = BigInteger.valueOf(10).pow(scale);
			reduce();
		}

		public FB neg(){ return new FB(num.negate(), den);}
		public FB abs(){ return new FB(num.abs(), den);}

		public FB reduce()
		{
			if(den.signum() == 0) {
			}else if(num.signum() == 0) {
				den = BigInteger.ONE;
			}else {
				if(den.signum() < 0) {
					num = num.negate();
					den = den.negate();
				}
				BigInteger g = num.gcd(den);
				num = num.divide(g);
				den = den.divide(g);
			}
			return this;
		}

		public static FB add(FB a, FB b){ return new FB(a.num.multiply(b.den).add(a.den.multiply(b.num)), a.den.multiply(b.den)); }
		public static FB sub(FB a, FB b){ return new FB(a.num.multiply(b.den).subtract(a.den.multiply(b.num)), a.den.multiply(b.den)); }
		public static FB mul(FB a, FB b){ return new FB(a.num.multiply(b.num), a.den.multiply(b.den)); }
		public static FB div(FB a, FB b){ return new FB(a.num.multiply(b.den), a.den.multiply(b.num)); }
		public static FB inv(FB a) { return new FB(a.den, a.num); }

		public FB add(FB b){ num = num.multiply(b.den).add(den.multiply(b.num)); den = den.multiply(b.den); return reduce(); }
		public FB sub(FB b){ num = num.multiply(b.den).subtract(den.multiply(b.num)); den = den.multiply(b.den); return reduce(); }
		public FB mul(FB b){ num = num.multiply(b.num); den = den.multiply(b.den); return reduce(); }
		public FB div(FB b){ num = num.multiply(b.den); den = den.multiply(b.num); return reduce(); }
		public FB inv() { BigInteger d = num; num = den; den = d; return reduce(); }

		public String toString() { return num.toString() + "/" + den.toString(); }
		public String toStringSimple() { return den.equals(BigInteger.ONE) ? num.toString() : num.toString() + "/" + den.toString(); }

		public int compareTo(FB f) { return num.multiply(f.den).compareTo(f.num.multiply(den)); }

		public boolean simpleEquals(FB f) {	return num.equals(f.num) && den.equals(f.den); }

		public boolean equals(Object o)
		{
			if(o == null)return false;
			FB f = (FB) o;
			return num.multiply(f.den).equals(f.num.multiply(den));
		}

		/**
		 * 10進循環小数表記
		 * @param a
		 * @return
		 * @verified SRM761div1easy
		 */
		public static String circ(FB a)
		{
			BigInteger[] qr = a.num.divideAndRemainder(a.den);
			Map<BigInteger, Integer> modstep = new HashMap<>();
			BigInteger cur = qr[1];
			int tail = -1;
			String P = "";
			String t = "";
			for(int i = 0;;i++){
				if(cur.signum() == 0){
					tail = i;
					P = "0";
					break;
				}
				if(modstep.containsKey(cur)){
					tail = modstep.get(cur);
					P = t.substring(modstep.get(cur));
					break;
				}
				modstep.put(cur, i);
				BigInteger[] nqr = cur.multiply(BigInteger.TEN).divideAndRemainder(a.den);
				t += nqr[0].toString();
				cur = nqr[1];

			}
			return qr[0].toString() + "." + t.substring(0, tail) + "(" + P + ")";
		}
	}

	public static long[] guessFrac(long n, int mod)
	{
		long min = mod;
		long argnum = -1, argden = 0;
		for(int den = 1;den <= 200000;den++){
			long num = n*den%mod;
			if(num*2 >= mod)num -= mod;
			if(Math.abs(num) + den < min){
				min = Math.abs(num) + den;
				argnum = num;
				argden = den;
			}
		}
		return argden == 0 ? null : new long[]{argnum, argden};
	}


	public static long invl(long a, long mod) {
		long b = mod;
		long p = 1, q = 0;
		while (b > 0) {
			long c = a / b;
			long d;
			d = a;
			a = b;
			b = d % b;
			d = p;
			p = q;
			q = d - c * q;
		}
		return p < 0 ? p + mod : p;
	}


	public static void main(String[] args) {
		new C().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 write(IntUnaryOperator f, int... xs)
		{
			boolean first = true;
			for(int x : xs) {
				if (!first) write(' ');
				first = false;
				write(f.applyAsInt(x));
			}
			return this;
		}

		public FastWriter write(LongUnaryOperator f, long... xs)
		{
			boolean first = true;
			for(long x : xs) {
				if (!first) write(' ');
				first = false;
				write(f.applyAsLong(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(IntUnaryOperator f, int... xs) { return write(f, xs).writeln(); }
		public FastWriter writeln(LongUnaryOperator f, long... xs) { return write(f, 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 print(IntUnaryOperator f, int... xs) { return write(f, xs); }
		public FastWriter print(LongUnaryOperator f, long... xs) { return write(f, xs); }
		public FastWriter println(int... xs) { return writeln(xs); }
		public FastWriter println(long... xs) { return writeln(xs); }
		public FastWriter println(IntUnaryOperator f, int... xs) { return writeln(f, xs); }
		public FastWriter println(LongUnaryOperator f, long... xs) { return writeln(f, 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)); }
}
0