結果

問題 No.1983 [Cherry 4th Tune C] 南の島のマーメイド
ユーザー uwiuwi
提出日時 2022-06-17 22:18:50
言語 Java21
(openjdk 21)
結果
AC  
実行時間 3,038 ms / 4,000 ms
コード長 17,973 bytes
コンパイル時間 5,413 ms
コンパイル使用メモリ 85,168 KB
実行使用メモリ 172,228 KB
最終ジャッジ日時 2023-07-30 13:10:34
合計ジャッジ時間 43,535 ms
ジャッジサーバーID
(参考情報)
judge15 / judge12
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 74 ms
51,220 KB
testcase_01 AC 74 ms
51,248 KB
testcase_02 AC 75 ms
51,484 KB
testcase_03 AC 75 ms
51,084 KB
testcase_04 AC 74 ms
51,188 KB
testcase_05 AC 74 ms
51,128 KB
testcase_06 AC 74 ms
51,284 KB
testcase_07 AC 75 ms
51,320 KB
testcase_08 AC 146 ms
56,812 KB
testcase_09 AC 153 ms
56,316 KB
testcase_10 AC 225 ms
60,148 KB
testcase_11 AC 187 ms
61,396 KB
testcase_12 AC 151 ms
56,468 KB
testcase_13 AC 784 ms
92,312 KB
testcase_14 AC 1,003 ms
90,588 KB
testcase_15 AC 1,065 ms
116,580 KB
testcase_16 AC 810 ms
109,972 KB
testcase_17 AC 1,047 ms
116,548 KB
testcase_18 AC 1,019 ms
107,892 KB
testcase_19 AC 1,153 ms
126,688 KB
testcase_20 AC 943 ms
108,500 KB
testcase_21 AC 1,091 ms
106,208 KB
testcase_22 AC 1,540 ms
135,396 KB
testcase_23 AC 1,288 ms
129,740 KB
testcase_24 AC 1,445 ms
129,772 KB
testcase_25 AC 1,265 ms
127,792 KB
testcase_26 AC 1,277 ms
129,868 KB
testcase_27 AC 1,294 ms
129,576 KB
testcase_28 AC 1,315 ms
129,584 KB
testcase_29 AC 1,359 ms
130,592 KB
testcase_30 AC 1,300 ms
129,448 KB
testcase_31 AC 1,394 ms
129,760 KB
testcase_32 AC 1,275 ms
127,548 KB
testcase_33 AC 77 ms
51,504 KB
testcase_34 AC 604 ms
117,820 KB
testcase_35 AC 2,939 ms
165,504 KB
testcase_36 AC 1,224 ms
152,512 KB
testcase_37 AC 75 ms
51,228 KB
testcase_38 AC 222 ms
59,404 KB
testcase_39 AC 3,038 ms
172,228 KB
testcase_40 AC 1,056 ms
127,888 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 contest220617;
import java.io.*;
import java.util.*;
import java.util.function.IntUnaryOperator;
import java.util.function.LongUnaryOperator;

public class E {
	InputStream is;
	FastWriter out;

	String INPUT = "";

	public void solve() {
		int n = ni(), m = ni(), Q = ni();
		int[] from = new int[m+2*n];
		int[] to = new int[m+2*n];
		int[] ws = new int[m+2*n];
		Set<Long> hit = new HashSet<>();
		for (int i = 0; i < m; i++) {
			from[i] = ni() - 1;
			to[i] = ni() - 1;
			ws[i] = i;
			hit.add((long)from[i]<<32|to[i]);
			hit.add((long)to[i]<<32|from[i]);
		}
		int[][][] g = packWU(n, from, to, ws, m);
		DJSet ds = new DJSet(n);
		for(int i = 0;i < m;i++){
			ds.union(from[i], to[i]);
		}
		int p = m;
		for(int i = 0;i < n;i++){
			if(ds.upper[i] < 0){
				from[p] = i; to[p] = n; ws[p] = p; p++;
				from[p] = i; to[p] = n+1; ws[p] = p; p++;
			}
		}

		g = packWU(n+2, from, to, ws, p);

		BCDatum dat = decomposeToBiconnectedComponents(g);
		int[][] h = buildBlockCutTree(dat);

		int[] ff = new int[p];
		for(int i = 0;i < p;i++){
			ff[dat.edgeClus[i]]++;
		}

		int[] whom = new int[n+2];
		Arrays.fill(whom, -1);
		for(int i = 0;i < p;i++){
			if(!dat.isArtic[from[i]]){
				whom[from[i]] = dat.edgeClus[i];
			}
			if(!dat.isArtic[to[i]]){
				whom[to[i]] = dat.edgeClus[i];
			}
		}

		int nart = 0;
		for(int i = 0;i < n+2;i++){
			if(dat.isArtic[i])nart++;
		}

		int ncc = h.length - nart;
//
//		int[] f = new int[h.length];
//		for(int i = 0;i < n+2;i++){
//			if(whom[i] != -1){
//				f[whom[i]]++;
//			}
//		}

		DJSet ds2 = new DJSet(h.length);
		for(int i = 0;i < h.length;i++){
			for(int e : h[i]){
				if((i >= ncc || ff[i] <= 1) && (e >= ncc || ff[e] <= 1)){
					ds2.union(i, e);
				}
			}
		}

		int[] arid = new int[n+2];
		Arrays.fill(arid, -1);
		int u = ncc;
		for(int i = 0;i < n+2;i++){
			if(dat.isArtic[i]){
				arid[i] = u++;
			}
		}
//		tr(arid);
//		tr(f);

		for(int z = 0;z < Q;z++){
			int x = ni()-1;
			int y = ni()-1;

			int tx = dat.isArtic[x] ? arid[x] : whom[x];
			int ty = dat.isArtic[y] ? arid[y] : whom[y];

			if(tx == ty){
				out.println("No");
			}else{
				out.println(ds2.equiv(tx, ty) ? "Yes" : "No");
			}
		}
	}


	public static int[][] buildBlockCutTree(BCDatum dat)
	{
		int n = dat.g.length;
		int m = dat.ecp;
		int[] artics = new int[n];
		Arrays.fill(artics, -1);
		int q = 0;
		for(int i = 0;i < n;i++){
			if(dat.isArtic[i]){
				artics[i] = q++;
			}
		}
		int[] from = new int[q+m-1];
		int[] to = new int[q+m-1];
		// m+q
		int p = 0;
		int[] temp = new int[n];
		for(int i = 0;i < n;i++){
			if(dat.isArtic[i]){
				int lp = 0;
				for(int[] e : dat.g[i]){
					temp[lp++] = dat.edgeClus[e[1]];
				}
				assert lp >= 2;
				Arrays.sort(temp, 0, lp);
				for(int j = 0;j < lp;j++){
					if(j == 0 || temp[j] != temp[j-1]){
						from[p] = m+artics[i]; to[p] = temp[j]; p++;
					}
				}
			}
		}
		assert p == from.length;
		return packU(q+m, from, to);
	}

	public static int[][] packU(int n, int[] from, int[] to) {
		return packU(n, from, to, from.length);
	}

	public static int[][] packU(int n, int[] from, int[] to, int sup) {
		int[][] g = new int[n][];
		int[] p = new int[n];
		for (int i = 0; i < sup; i++) p[from[i]]++;
		for (int i = 0; i < sup; i++) p[to[i]]++;
		for (int i = 0; i < n; i++) g[i] = new int[p[i]];
		for (int i = 0; i < sup; i++) {
			g[from[i]][--p[from[i]]] = to[i];
			g[to[i]][--p[to[i]]] = from[i];
		}
		return g;
	}


	public static class DJSet {
		public int[] upper;

		public DJSet(int n) {
			upper = new int[n];
			Arrays.fill(upper, -1);
		}

		public int root(int x) {
			return upper[x] < 0 ? x : (upper[x] = root(upper[x]));
		}

		public boolean equiv(int x, int y) {
			return root(x) == root(y);
		}

		public boolean union(int x, int y) {
			x = root(x);
			y = root(y);
			if (x != y) {
				if (upper[y] < upper[x]) {
					int d = x;
					x = y;
					y = d;
				}
				upper[x] += upper[y];
				upper[y] = x;
			}
			return x == y;
		}

		public int count() {
			int ct = 0;
			for (int u : upper) if (u < 0) ct++;
			return ct;
		}

		public int[][] toBucket() {
			int n = upper.length;
			int[][] ret = new int[n][];
			int[] rp = new int[n];
			for (int i = 0; i < n; i++) if (upper[i] < 0) ret[i] = new int[-upper[i]];
			for (int i = 0; i < n; i++) {
				int r = root(i);
				ret[r][rp[r]++] = i;
			}
			return ret;
		}
	}

	public static int[][][] packWU(int n, int[] from, int[] to, int[] w) {
		return packWU(n, from, to, w, from.length);
	}

	public static int[][][] packWU(int n, int[] from, int[] to, int[] w, int sup) {
		int[][][] g = new int[n][][];
		int[] p = new int[n];
		for (int i = 0; i < sup; i++) p[from[i]]++;
		for (int i = 0; i < sup; i++) p[to[i]]++;
		for (int i = 0; i < n; i++) g[i] = new int[p[i]][2];
		for (int i = 0; i < sup; i++) {
			--p[from[i]];
			g[from[i]][p[from[i]]][0] = to[i];
			g[from[i]][p[from[i]]][1] = w[i];
			--p[to[i]];
			g[to[i]][p[to[i]]][0] = from[i];
			g[to[i]][p[to[i]]][1] = w[i];
		}
		return g;
	}


	public static BCDatum decomposeToBiconnectedComponents(int[][][] g)
	{
		int n = g.length;
		int m = 0;
		for(int[][] row : g)m += row.length;
		m /= 2;
		BCDatum d = new BCDatum();
		d.g = g;
		d.gen = 0;
		d.low = new int[n];
		Arrays.fill(d.low, -1);
		d.ord = new int[n];
		Arrays.fill(d.ord, -1);
		d.edgeStack = new int[m];
		d.esp = 0;
		d.edgeClus = new int[m];
		Arrays.fill(d.edgeClus, -1);
		d.visited = new boolean[n];
		d.parente = new int[n];
		d.isArtic = new boolean[n];
		Arrays.fill(d.parente, -1);
		for(int i = 0;i < n;i++){
			if(!d.visited[i])dfsBC(i, d);
		}
		assert d.esp == 0;
		return d;
	}

	private static void dfsBC(int cur, BCDatum d)
	{
		d.visited[cur] = true;
		d.low[cur] = d.ord[cur] = d.gen++;
		int dfsch = 0;
		for(int[] e : d.g[cur]){
			if(!d.visited[e[0]]){
				d.edgeStack[d.esp++] = e[1];
				d.parente[e[0]] = e[1];
				dfsch++;
				dfsBC(e[0], d);
				if(d.low[e[0]] >= d.ord[cur]){
					d.isArtic[cur] = true;
					while(d.esp > 0){
						d.edgeClus[d.edgeStack[--d.esp]] = d.ecp;
						if(d.edgeStack[d.esp] == e[1])break;
					}
					d.ecp++;
				}
				d.low[cur] = Math.min(d.low[cur], d.low[e[0]]);
			}else if(d.parente[cur] != e[1] && d.ord[e[0]] < d.ord[cur]){
				// e is a back edge from cur to its ancestor e[0]
				d.edgeStack[d.esp++] = e[1];
				d.low[cur] = Math.min(d.low[cur], d.ord[e[0]]);
			}
		}
		if(d.parente[cur] < 0 && dfsch == 1)d.isArtic[cur] = false; // if root node and degree on dfs tree = 1 then not articulation point.
	}

	public static class BCDatum
	{
		public int[][][] g;
		public int[] edgeClus;
		public int ecp;
		public int gen;
		public int[] ord;
		public int[] low;
		public int[] edgeStack;
		public int esp;
		public boolean[] visited;
		public int[] parente;
		public boolean[] isArtic;
	}



	public static void main(String[] args) {
		new E().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[][] 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[] 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