結果

問題 No.1494 LCS on Tree
ユーザー uwiuwi
提出日時 2021-04-30 22:40:59
言語 Java21
(openjdk 21)
結果
AC  
実行時間 271 ms / 2,000 ms
コード長 17,370 bytes
コンパイル時間 5,386 ms
コンパイル使用メモリ 101,844 KB
実行使用メモリ 129,772 KB
最終ジャッジ日時 2023-08-12 22:45:11
合計ジャッジ時間 16,961 ms
ジャッジサーバーID
(参考情報)
judge9 / judge8
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 69 ms
50,444 KB
testcase_01 AC 71 ms
50,304 KB
testcase_02 AC 70 ms
50,320 KB
testcase_03 AC 264 ms
99,132 KB
testcase_04 AC 260 ms
103,156 KB
testcase_05 AC 262 ms
109,484 KB
testcase_06 AC 264 ms
109,992 KB
testcase_07 AC 258 ms
103,360 KB
testcase_08 AC 263 ms
109,668 KB
testcase_09 AC 261 ms
103,288 KB
testcase_10 AC 264 ms
100,908 KB
testcase_11 AC 266 ms
109,476 KB
testcase_12 AC 260 ms
109,740 KB
testcase_13 AC 266 ms
116,344 KB
testcase_14 AC 261 ms
99,344 KB
testcase_15 AC 258 ms
99,100 KB
testcase_16 AC 261 ms
99,676 KB
testcase_17 AC 268 ms
99,344 KB
testcase_18 AC 263 ms
99,228 KB
testcase_19 AC 70 ms
50,576 KB
testcase_20 AC 69 ms
50,316 KB
testcase_21 AC 69 ms
50,304 KB
testcase_22 AC 69 ms
50,220 KB
testcase_23 AC 70 ms
50,516 KB
testcase_24 AC 70 ms
50,336 KB
testcase_25 AC 72 ms
50,236 KB
testcase_26 AC 71 ms
50,428 KB
testcase_27 AC 71 ms
50,320 KB
testcase_28 AC 71 ms
50,284 KB
testcase_29 AC 70 ms
50,456 KB
testcase_30 AC 259 ms
99,436 KB
testcase_31 AC 257 ms
99,244 KB
testcase_32 AC 251 ms
99,660 KB
testcase_33 AC 253 ms
99,264 KB
testcase_34 AC 256 ms
99,448 KB
testcase_35 AC 146 ms
55,312 KB
testcase_36 AC 181 ms
66,856 KB
testcase_37 AC 153 ms
55,188 KB
testcase_38 AC 174 ms
62,992 KB
testcase_39 AC 193 ms
73,496 KB
testcase_40 AC 164 ms
59,160 KB
testcase_41 AC 235 ms
95,108 KB
testcase_42 AC 159 ms
59,512 KB
testcase_43 AC 217 ms
86,040 KB
testcase_44 AC 205 ms
75,200 KB
testcase_45 AC 270 ms
129,100 KB
testcase_46 AC 267 ms
129,252 KB
testcase_47 AC 267 ms
129,632 KB
testcase_48 AC 271 ms
129,772 KB
testcase_49 AC 265 ms
129,656 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 contest210430;
import java.io.*;
import java.util.ArrayDeque;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.Queue;
import java.util.function.IntUnaryOperator;
import java.util.function.LongUnaryOperator;

public class D2 {
	InputStream is;
	FastWriter out;

	String INPUT = "";

	static char[] s;

	public void solve() {
		int n = ni();
		s = ns().toCharArray();
		m = s.length;

		int[] from = new int[n - 1];
		int[] to = new int[n - 1];
		int[] ws = new int[n - 1];
		for (int i = 0; i < n - 1; i++) {
			from[i] = ni() - 1;
			to[i] = ni() - 1;
			ws[i] = nc();
		}
		int[][][] g = packWU(n, from, to, ws);
		int[][] pars = parents(g, 0);
		zero = new Datum();
		Datum[] res = omnidirectionalTreeDP(g, pars[0], pars[1]);
		int ans = 0;
		for(Datum d : res){
			ans = Math.max(ans, max(d.lcs));
		}
		out.println(ans);
	}
	public static int max(int... args){ int max = Integer.MIN_VALUE; for(int a : args){max = Math.max(max, a);} return max; }


	static int m;

	public static class Datum
	{
		int[] lcs;

		public Datum()
		{
			lcs = new int[m];
		}

		public Datum(int cur)
		{
			lcs = new int[m];
		}
	}

	public static Datum zero;

	public static Datum merge(Datum a, Datum b)
	{
		Datum ret = new Datum();
		for(int i = 0;i < m;i++){
			ret.lcs[i] = Math.max(a.lcs[i], b.lcs[i]);
		}
		return ret;
	}

	public static Datum promote(Datum d, int... e)
	{
		Datum ret = new Datum();
		int mx = 0;
		for(int i = 0;i < m;i++){
			if(s[i] == e[1]){
				ret.lcs[i] = Math.max(d.lcs[i], mx + 1);
			}else{
				ret.lcs[i] = d.lcs[i];
			}
			mx = Math.max(mx, d.lcs[i]);
		}
		return ret;
	}


	public static Datum[] omnidirectionalTreeDP(int[][] g, int[] par, int[] ord) {
		int n = g.length;
		int root = ord[0];

		Datum[] dp = new Datum[n];

		// up
		for(int i = n-1;i >= 0;i--){
			int cur = ord[i];
			Datum ldp = new Datum(cur);
			for(int e : g[cur]){
				if(par[cur] == e)continue;
				ldp = merge(ldp, promote(dp[e], e));
			}
			dp[cur] = ldp;
		}

		// down
		Datum[] prefix = new Datum[n+1];
		Datum[] fall = new Datum[n];
		fall[root] = zero;
		for(int i = 0;i < n;i++){
			int cur = ord[i];
			prefix[0] = zero;
			Datum suffix = merge(new Datum(cur), fall[cur]);
			for(int j = 0;j < g[cur].length;j++){
				int e = g[cur][j];
				prefix[j+1] = par[cur] == e ? prefix[j] : merge(prefix[j], promote(dp[e], e));
			}
			for(int j = 0;j < g[cur].length;j++){
				int e = g[cur][g[cur].length-1-j];
				if(par[cur] != e){
					fall[e] = promote(merge(prefix[g[cur].length-1-j], suffix), e);
				}
				suffix = par[cur] == e ? suffix : merge(suffix, promote(dp[e], e));
			}
		}

		for(int i = 0;i < n;i++){
			dp[i] = merge(fall[i], dp[i]);
		}
		return dp;
	}


	public static Datum[] omnidirectionalTreeDP(int[][][] g, int[] par, int[] ord) {
		int n = g.length;
		int root = ord[0];

		Datum[] dp = new Datum[n];

		// up
		for(int i = n-1;i >= 0;i--){
			int cur = ord[i];
			Datum ldp = new Datum(cur);
			for(int[] e : g[cur]){
				if(par[cur] == e[0])continue;
				ldp = merge(ldp, promote(dp[e[0]], e));
			}
			dp[cur] = ldp;
		}

		// down
		Datum[] prefix = new Datum[n+1];
		Datum[] fall = new Datum[n];
		fall[root] = zero;
		for(int i = 0;i < n;i++){
			int cur = ord[i];
			prefix[0] = zero;
			Datum suffix = merge(new Datum(cur), fall[cur]);
			for(int j = 0;j < g[cur].length;j++){
				int[] e = g[cur][j];
				prefix[j+1] = par[cur] == e[0] ? prefix[j] : merge(prefix[j], promote(dp[e[0]], e));
			}
			for(int j = 0;j < g[cur].length;j++){
				int[] e = g[cur][g[cur].length-1-j];
				if(par[cur] != e[0]){
					fall[e[0]] = promote(merge(prefix[g[cur].length-1-j], suffix), e);
				}
				suffix = par[cur] == e[0] ? suffix : merge(suffix, promote(dp[e[0]], e));
			}
		}

		for(int i = 0;i < n;i++){
			dp[i] = merge(fall[i], dp[i]);
		}
		return dp;
	}


	public static int[][] makeFatNext(char[] s, char inf, char sup)
	{
		int n = s.length;
		int[][] next = new int[sup-inf+1][n+1];
		for(int i = 0;i < sup-inf+1;i++)next[i][n] = n+1;
		for(int i = s.length-1;i >= 0;i--){
			for(int j = 0;j < sup-inf+1;j++)next[j][i] = next[j][i+1];
			next[s[i]-inf][i] = i+1;
		}
		return next;
	}

	public static int[][] parents(int[][][] g, int root) {
		int n = g.length;
		int[] par = new int[n];
		Arrays.fill(par, -1);
		int[] dw = new int[n];
		int[] pw = new int[n];
		int[] dep = new int[n];

		int[] q = new int[n];
		q[0] = root;
		for (int p = 0, r = 1; p < r; p++) {
			int cur = q[p];
			for (int[] nex : g[cur]) {
				if (par[cur] != nex[0]) {
					q[r++] = nex[0];
					par[nex[0]] = cur;
					dep[nex[0]] = dep[cur] + 1;
					dw[nex[0]] = dw[cur] + nex[1];
					pw[nex[0]] = nex[1];
				}
			}
		}
		return new int[][]{par, q, dep, dw, pw};
	}


	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 int[][] parents(int[][] g, int root) {
		int n = g.length;
		int[] par = new int[n];
		Arrays.fill(par, -1);

		int[] depth = new int[n];
		depth[0] = 0;

		int[] q = new int[n];
		q[0] = root;
		for (int p = 0, r = 1; p < r; p++) {
			int cur = q[p];
			for (int nex : g[cur]) {
				if (par[cur] != nex) {
					q[r++] = nex;
					par[nex] = cur;
					depth[nex] = depth[cur] + 1;
				}
			}
		}
		return new int[][]{par, q, depth};
	}


	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 void main(String[] args) {
		new D2().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