結果

問題 No.363 門松サイクル
ユーザー uwiuwi
提出日時 2016-03-24 05:30:18
言語 Java21
(openjdk 21)
結果
AC  
実行時間 718 ms / 4,000 ms
コード長 7,596 bytes
コンパイル時間 4,865 ms
コンパイル使用メモリ 85,816 KB
実行使用メモリ 87,440 KB
最終ジャッジ日時 2024-10-01 21:51:23
合計ジャッジ時間 14,666 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge5
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 51 ms
50,276 KB
testcase_01 AC 50 ms
49,932 KB
testcase_02 AC 69 ms
51,164 KB
testcase_03 AC 61 ms
50,360 KB
testcase_04 AC 83 ms
51,844 KB
testcase_05 AC 71 ms
50,988 KB
testcase_06 AC 73 ms
51,124 KB
testcase_07 AC 88 ms
51,752 KB
testcase_08 AC 76 ms
51,332 KB
testcase_09 AC 278 ms
61,820 KB
testcase_10 AC 282 ms
63,640 KB
testcase_11 AC 405 ms
69,436 KB
testcase_12 AC 438 ms
72,328 KB
testcase_13 AC 450 ms
72,608 KB
testcase_14 AC 337 ms
67,008 KB
testcase_15 AC 401 ms
72,248 KB
testcase_16 AC 395 ms
64,736 KB
testcase_17 AC 470 ms
72,072 KB
testcase_18 AC 476 ms
81,744 KB
testcase_19 AC 422 ms
71,816 KB
testcase_20 AC 480 ms
73,040 KB
testcase_21 AC 502 ms
75,540 KB
testcase_22 AC 477 ms
76,832 KB
testcase_23 AC 466 ms
71,540 KB
testcase_24 AC 53 ms
50,372 KB
testcase_25 AC 55 ms
50,244 KB
testcase_26 AC 472 ms
71,980 KB
testcase_27 AC 386 ms
69,880 KB
testcase_28 AC 718 ms
87,440 KB
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ソースコード

diff # 

package contest;

import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;

public class Q1024 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni();
		if(!(n >= 2))throw new AssertionError();
		if(!(n <= 100000))throw new AssertionError();
		int[] a = na(n);
		for(int i = 0;i < n;i++){
			if(!(a[i] >= 1))throw new AssertionError();
			if(!(a[i] <= 100000))throw new AssertionError();
		}
		DJSet ds = new DJSet(n);
		int[] from = new int[n - 1];
		int[] to = new int[n - 1];
		for (int i = 0; i < n - 1; i++) {
			from[i] = ni() - 1;
			to[i] = ni() - 1;
			ds.union(from[i], to[i]);
		}
		if(!(ds.count() == 1))throw new AssertionError();
		
		int[][] g = packU(n, from, to);
		int[][] pars = parents3(g, 0);
		int[] par = pars[0], ord = pars[1], dep = pars[2];
		int[][] spar = logstepParents(par);
		int[] lim = new int[n];
		Arrays.fill(lim, -1);
		for(int i = 0;i < n;i++){
			int cur = ord[i];
			if(cur == 0){
				lim[cur] = 0;
			}else if(lim[par[cur]] == par[cur]){
				lim[cur] = a[cur] == a[par[cur]] ? cur : par[cur];
			}else{
				int u = a[cur], v = a[par[cur]], w = a[par[par[cur]]];
				if(kadomatu(u, v, w)){
					lim[cur] = lim[par[cur]];
				}else if(u != v){
					lim[cur] = par[cur];
				}else{
					lim[cur] = cur;
				}
			}
		}
		for(int Q = ni();Q > 0;Q--){
			int u = ni()-1, v = ni()-1;
			int lca = lca2(u, v, spar, dep);
			// period <= 2
			if(dep[u]+dep[v]-2*dep[lca] <= 1){
				out.println("NO");
				continue;
			}
			if(!(dep[lim[u]] <= dep[lca] && dep[lim[v]] <= dep[lca])){
				out.println("NO");
				continue;
			}
			if(u != lca && v != lca && !kadomatu(a[ancestor(u, dep[u]-dep[lca]-1, spar)], a[lca], a[ancestor(v, dep[v]-dep[lca]-1, spar)])){
				out.println("NO");
				continue;
			}
			if(v != lca && !kadomatu(a[u], a[v], a[par[v]])){
				out.println("NO");
				continue;
			}
			if(u != lca && !kadomatu(a[par[u]], a[u], a[v])){
				out.println("NO");
				continue;
			}
			if(v == lca && !kadomatu(a[u], a[v], a[ancestor(u, dep[u]-dep[lca]-1, spar)])){
				out.println("NO");
				continue;
			}
			if(u == lca && !kadomatu(a[ancestor(v, dep[v]-dep[lca]-1, spar)], a[u], a[v])){
				out.println("NO");
				continue;
			}
			out.println("YES");
		}
	}
	
	static boolean kadomatu(int u, int v, int w)
	{
		return u != v && v != w && w != u && (u < v && v > w || u > v && v < w);
	}
	
	public static int lca2(int a, int b, int[][] spar, int[] depth) {
		if (depth[a] < depth[b]) {
			b = ancestor(b, depth[b] - depth[a], spar);
		} else if (depth[a] > depth[b]) {
			a = ancestor(a, depth[a] - depth[b], spar);
		}

		if (a == b)
			return a;
		int sa = a, sb = b;
		for (int low = 0, high = depth[a], t = Integer.highestOneBit(high), k = Integer
				.numberOfTrailingZeros(t); t > 0; t >>>= 1, k--) {
			if ((low ^ high) >= t) {
				if (spar[k][sa] != spar[k][sb]) {
					low |= t;
					sa = spar[k][sa];
					sb = spar[k][sb];
				} else {
					high = low | t - 1;
				}
			}
		}
		return spar[0][sa];
	}

	protected static int ancestor(int a, int m, int[][] spar) {
		for (int i = 0; m > 0 && a != -1; m >>>= 1, i++) {
			if ((m & 1) == 1)
				a = spar[i][a];
		}
		return a;
	}
	
	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 static int[][] logstepParents(int[] par) {
		int n = par.length;
		int m = Integer.numberOfTrailingZeros(Integer.highestOneBit(n - 1)) + 1;
		int[][] pars = new int[m][n];
		pars[0] = par;
		for (int j = 1; j < m; j++) {
			for (int i = 0; i < n; i++) {
				pars[j][i] = pars[j - 1][i] == -1 ? -1
						: pars[j - 1][pars[j - 1][i]];
			}
		}
		return pars;
	}

	public static int[][] parents3(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 };
	}

	static int[][] packU(int n, int[] from, int[] to) {
		int[][] g = new int[n][];
		int[] p = new int[n];
		for (int f : from)
			p[f]++;
		for (int t : to)
			p[t]++;
		for (int i = 0; i < n; i++)
			g[i] = new int[p[i]];
		for (int i = 0; i < from.length; i++) {
			g[from[i]][--p[from[i]]] = to[i];
			g[to[i]][--p[to[i]]] = from[i];
		}
		return g;
	}
	
	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");
	}
	
	public static void main(String[] args) throws Exception { new Q1024().run(); }
	
	private byte[] inbuf = new byte[1024];
	private 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 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 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();
		}
	}
	
	private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); }
}
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