#94784 (C#(csc)) No.363 門松サイクル

提出ソース

結果

問題	No.363 門松サイクル
ユーザー	紙ぺーぱー
提出日時	2016-05-31 15:42:22
言語	C#(csc) (csc 3.9.0)
結果	WA
実行時間	-
コード長	14,982 bytes
コンパイル時間	1,361 ms
コンパイル使用メモリ	116,328 KB
実行使用メモリ	72,436 KB
最終ジャッジ日時	2024-10-08 01:07:21
合計ジャッジ時間	10,477 ms
ジャッジサーバーID （参考情報）	judge2 / judge4

このコードへのチャレンジ
（要ログイン）

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	27 ms 24,492 KB
testcase_01	AC	28 ms 24,160 KB
testcase_02	AC	29 ms 24,412 KB
testcase_03	WA	-
testcase_04	AC	29 ms 24,248 KB
testcase_05	WA	-
testcase_06	AC	30 ms 26,584 KB
testcase_07	AC	34 ms 24,544 KB
testcase_08	WA	-
testcase_09	WA	-
testcase_10	WA	-
testcase_11	WA	-
testcase_12	WA	-
testcase_13	WA	-
testcase_14	WA	-
testcase_15	WA	-
testcase_16	AC	200 ms 46,524 KB
testcase_17	AC	321 ms 54,848 KB
testcase_18	WA	-
testcase_19	WA	-
testcase_20	WA	-
testcase_21	AC	411 ms 56,076 KB
testcase_22	WA	-
testcase_23	AC	319 ms 48,456 KB
testcase_24	AC	28 ms 22,328 KB
testcase_25	AC	32 ms 26,460 KB
testcase_26	AC	227 ms 56,892 KB
testcase_27	AC	216 ms 54,984 KB
testcase_28	AC	332 ms 62,404 KB

権限があれば一括ダウンロードができます

コンパイルメッセージ

Microsoft (R) Visual C# Compiler version 3.9.0-6.21124.20 (db94f4cc)
Copyright (C) Microsoft Corporation. All rights reserved.

ソースコード

raw source code

using System;
using System.Linq;
using System.Linq.Expressions;
using System.Collections.Generic;
using Debug = System.Diagnostics.Debug;
using StringBuilder = System.Text.StringBuilder;
using System.Numerics;
using Point = System.Numerics.Complex;
using Number = System.Numerics.BigInteger;
namespace Program
{
    public class Solver
    {
        public void Solve()
        {
            var n = sc.Integer();
            var a = sc.Integer(n);
            var H = new HeavyLightDecomposition(n, a);
            for (int i = 0; i < n - 1; i++)
            {
                var f = sc.Integer() - 1;
                var t = sc.Integer() - 1;
                H.AddEdge(f, t);
            }

            H.Build(0);
            var q = sc.Integer();
            for (int i = 0; i < q; i++)
            {
                var f = sc.Integer() - 1;
                var t = sc.Integer() - 1;
                var lca = H.GetLCA(f, t);
                var k = H.depth[f] + H.depth[t] - 2 * H.depth[lca] + 1;
                if (k < 3)
                {
                    IO.Printer.Out.WriteLine("NO");
                    continue;
                }
                var A = H.Query(lca, f);
                var B = H.Query(lca, t);
                var ans = true;
                ans &= A;
                ans &= B;

                var pf = H.par[f];
                var pt = H.par[t];
                if (f == lca)
                {
                    var ptlca = H.GetAncestorAt(t, H.depth[lca] + 1);
                    ans &= ok(a[f], a[t], a[pt]);
                    ans &= ok(a[t], a[lca], a[ptlca]);
                }
                else if (t == lca)
                {
                    var pflca = H.GetAncestorAt(f, H.depth[lca] + 1);
                    ans &= ok(a[pf], a[f], a[t]);
                    ans &= ok(a[f], a[lca], a[pflca]);
                }
                else
                {
                    var ptlca = H.GetAncestorAt(t, H.depth[lca] + 1);
                    var pflca = H.GetAncestorAt(f, H.depth[lca] + 1);
                    ans &= ok(a[pf], a[f], a[t]);
                    ans &= ok(a[f], a[t], a[pt]);
                    ans &= ok(a[pflca], a[lca], a[ptlca]);
                }
                if (ans)
                    IO.Printer.Out.WriteLine("YES");
                else IO.Printer.Out.WriteLine("NO");
            }
        }
        public bool ok(int a, int b, int c)
        {
            if (a == b || b == c || a == c) return false;
            if (a < b && b > c) return true;
            if (a > b && b < c) return true;
            return false;
        }
        public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput());
        static T[] Enumerate<T>(int n, Func<int, T> f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; }
        static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
    }
}
#region main
static class Ex
{
    static public string AsString(this IEnumerable<char> ie) { return new string(System.Linq.Enumerable.ToArray(ie)); }
    static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") { return string.Join(st, ie); }
    static public void Main()
    {
        var solver = new Program.Solver();
        solver.Solve();
        Program.IO.Printer.Out.Flush();
    }
}
#endregion
#region Ex
namespace Program.IO
{
    using System.IO;
    using System.Text;
    using System.Globalization;
    public class Printer : StreamWriter
    {
        static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; }
        public static Printer Out { get; set; }
        public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } }
        public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { }
        public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { }
        public void Write<T>(string format, T[] source) { base.Write(format, source.OfType<object>().ToArray()); }
        public void WriteLine<T>(string format, T[] source) { base.WriteLine(format, source.OfType<object>().ToArray()); }
    }
    public class StreamScanner
    {
        public StreamScanner(Stream stream) { str = stream; }
        public readonly Stream str;
        private readonly byte[] buf = new byte[1024];
        private int len, ptr;
        public bool isEof = false;
        public bool IsEndOfStream { get { return isEof; } }
        private byte read()
        {
            if (isEof) return 0;
            if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } }
            return buf[ptr++];
        }
        public char Char() { byte b = 0; do b = read(); while ((b < 33 || 126 < b) && !isEof); return (char)b; }

        public string Scan()
        {
            var sb = new StringBuilder();
            for (var b = Char(); b >= 33 && b <= 126; b = (char)read())
                sb.Append(b);
            return sb.ToString();
        }
        public string ScanLine()
        {
            var sb = new StringBuilder();
            for (var b = Char(); b != '\n'; b = (char)read())
                if (b == 0) break;
                else if (b != '\r') sb.Append(b);
            return sb.ToString();
        }
        public long Long()
        {
            if (isEof) return long.MinValue;
            long ret = 0; byte b = 0; var ng = false;
            do b = read();
            while (b != 0 && b != '-' && (b < '0' || '9' < b));
            if (b == 0) return long.MinValue;
            if (b == '-') { ng = true; b = read(); }
            for (; true; b = read())
            {
                if (b < '0' || '9' < b)
                    return ng ? -ret : ret;
                else ret = ret * 10 + b - '0';
            }
        }
        public int Integer() { return (isEof) ? int.MinValue : (int)Long(); }
        public double Double() { var s = Scan(); return s != "" ? double.Parse(s, CultureInfo.InvariantCulture) : double.NaN; }
        private T[] enumerate<T>(int n, Func<T> f)
        {
            var a = new T[n];
            for (int i = 0; i < n; ++i) a[i] = f();
            return a;
        }

        public char[] Char(int n) { return enumerate(n, Char); }
        public string[] Scan(int n) { return enumerate(n, Scan); }
        public double[] Double(int n) { return enumerate(n, Double); }
        public int[] Integer(int n) { return enumerate(n, Integer); }
        public long[] Long(int n) { return enumerate(n, Long); }
    }
}
#endregion
#region HLDecomposition

public class HeavyLightDecomposition
{
    public bool ok(int a, int b, int c)
    {
        if (a == b || b == c || a == c) return false;
        if (a < b && b > c) return true;
        if (a > b && b < c) return true;
        return false;
    }
    public bool Query(int from, int to)
    {
        var f = go[from];
        var t = go[to];
        if (f.id == t.id)
        {
            if (from == to)
                return true;
            if (pos[to] - pos[from] == 1)
            {
                return val[from] != val[to];
            }
            var L = f.seg[pos[from]];
            var R = f.seg[pos[to] + 1 - 2];
            return (R - L) == 0;
        }
        else
        {
            var ch = GetAncestorAt(t, f.depth + 1);
            var med = H[ch];
            var ans = true;
            ans &= Query(med.light.to, to);
            if (pos[med.light.from] == pos[from]) { }
            else if (pos[med.light.from] - pos[from] == 1)
            {
                ans &= val[from] != val[med.light.from];
            }
            else
            {
                var L = f.seg[pos[from]];
                var R = f.seg[pos[med.light.from] + 1 - 2];
                ans &= (R - L) == 0;
            }
            if (pos[med.light.from] != pos[from])
            {
                var A = par[med.light.from];
                var B = med.light.from;
                var C = med.light.to;
                ans &= ok(val[A], val[B], val[C]);
            }

            return ans;
        }
    }
    List<Edge>[] G;
    List<Node> H = new List<Node>();
    int[] subTreeSize;
    public int[] par;
    int[] pos;
    int[,] parent;
    public int[] depth;

    Node[] go;
    int[,] hlpar;
    int[] val;
    public HeavyLightDecomposition(int n, int[] a)
    {
        G = Enumerate(n, x => new List<Edge>());
        subTreeSize = new int[n];
        pos = new int[n];
        depth = new int[n];
        par = new int[n];
        parent = new int[20, n];
        go = new Node[n];
        val = a;
    }
    public void AddEdge(int f, int t)
    {
        G[f].Add(new Edge(f, t));
        G[t].Add(new Edge(t, f));
    }
    #region impl
    public void Build(int root)
    {
        ComputeSubTreeSize(root);
        Decomposite(new Edge(-1, root), -1, 0, 0);
        BuildLCA();
        BuildHLLCA();

    }
    public void ComputeSubTreeSize(int root)
    {
        var stack = new Stack<KeyValuePair<int, int>>();
        stack.Push(new KeyValuePair<int, int>(root, -1));
        var visit = new bool[G.Length];
        while (stack.Any())
        {
            var p = stack.Pop();
            var cur = p.Key;
            var prev = p.Value;
            if (visit[p.Key])
            {
                foreach (var next in G[cur])
                {
                    var to = To(next);
                    if (to != prev)
                        subTreeSize[cur] += subTreeSize[to];
                }
            }
            else
            {
                visit[cur] = true;
                stack.Push(new KeyValuePair<int, int>(cur, prev));
                subTreeSize[cur]++;
                foreach (var next in G[cur])
                {
                    var to = To(next);
                    if (to != prev) stack.Push(new KeyValuePair<int, int>(to, cur));
                }
            }
        }
    }
    public void Decomposite(Edge light, int prevId, int d, int lv)
    {
        var node = new Node() { light = light, id = H.Count, par = prevId, depth = lv };
        H.Add(node);
        var prev = light.from;
        var cur = light.to;
        while (cur != prev)
        {
            var next = cur;
            var max = 0;
            depth[cur] = d;
            par[cur] = prev;
            go[cur] = node;
            pos[cur] = node.heavy.Count;
            foreach (var to in G[cur])
            {
                var t = To(to);
                if (t != prev) max = Math.Max(max, subTreeSize[t]);
            }
            foreach (var to in G[cur])
            {
                var t = To(to);
                if (t == prev) continue;
                if (max == subTreeSize[t])
                {
                    //Debug.WriteLine("{0}->{1}", cur, t);
                    max = 1 << 30;
                    next = t;
                    node.heavy.Add(to);
                }
                else Decomposite(to, node.id, d + 1, lv + 1);
            }
            prev = cur;
            cur = next;
            d++;
        }
        node.init(val);

    }
    void BuildLCA()
    {
        for (int k = 0; k < 19; k++)
            for (int v = 0; v < G.Length; v++)
                parent[k, v] = -1;
        for (int i = 0; i < G.Length; i++)
            parent[0, i] = par[i];
        for (int k = 0; k < 19; k++)
        {
            for (int v = 0; v < G.Length; v++)
                if (parent[k, v] < 0) parent[k + 1, v] = -1;
                else parent[k + 1, v] = parent[k, parent[k, v]];
        }

    }
    void BuildHLLCA()
    {
        hlpar = new int[8, H.Count];
        for (int k = 0; k < 7; k++)
            for (int v = 0; v < H.Count; v++)
                hlpar[k, v] = -1;
        for (int i = 0; i < H.Count; i++)
            hlpar[0, i] = H[i].par;
        for (int k = 0; k < 7; k++)
        {
            for (int v = 0; v < H.Count; v++)
                if (hlpar[k, v] < 0) hlpar[k + 1, v] = -1;
                else hlpar[k + 1, v] = hlpar[k, hlpar[k, v]];
        }

    }
    public int GetAncestorAt(Node v, int d)
    {
        if (v.depth < d)
            throw new Exception();
        for (int i = 0; i < 8; i++)
            if ((((v.depth - d) >> i) & 1) == 1)
                v = H[hlpar[i, v.id]];
        return v.id;
    }
    public int To(Edge t) { return t.to; }
    public int GetLCA(int u, int v)
    {
        if (depth[u] > depth[v]) { var tmp = u; u = v; v = tmp; }
        for (int k = 0; k < 20; k++)
            if ((((depth[v] - depth[u]) >> k) & 1) == 1)
                v = parent[k, v];
        if (u == v)
            return u;
        for (int i = 19; i >= 0; i--)
            if (parent[i, u] != parent[i, v])
            {
                u = parent[i, u];
                v = parent[i, v];
            }
        return parent[0, u];
    }
    public int GetAncestor(int v, int k)
    {
        var to = depth[v] - k;
        for (int i = 0; i < 20; i++)
            if ((((depth[v] - to) >> i) & 1) == 1)
                v = parent[i, v];
        return v;
    }
    public int GetAncestorAt(int v, int d)
    {
        if (depth[v] < d)
            throw new Exception();
        for (int i = 0; i < 20; i++)
            if ((((depth[v] - d) >> i) & 1) == 1)
                v = parent[i, v];
        return v;
    }
    static T[] Enumerate<T>(int n, Func<int, T> f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; }
    #endregion
}
public class Node
{
    public Edge light;
    public List<Edge> heavy = new List<Edge>();
    public int par;
    public int depth;
    public int id;
    public int[] seg;
    public void init(int[] a)
    {
        seg = new int[heavy.Count + 2];
        for (int i = 0; i < heavy.Count; i++)
        {
            var f = a[heavy[i].from];
            var t = a[heavy[i].to];
            if (f == t)
            {
                seg[i + 1] |= 1;
            }
            if (i + 1 < heavy.Count)
            {
                if (!ok(f, t, a[heavy[i + 1].to]))
                    seg[i + 1] |= 1;
            }
        }
        for (int i = 1; i <= heavy.Count + 1; i++)
            seg[i] += seg[i - 1];
    }
    public bool ok(int a, int b, int c)
    {
        if (a == b || b == c || a == c) return false;
        if (a < b && b > c) return true;
        if (a > b && b < c) return true;
        return false;
    }
    public override string ToString()
    {
        var s = new List<int>();
        s.Add(light.from);
        s.Add(light.to);
        foreach (var e in heavy)
            s.Add(e.to);
        return s.AsJoinedString("->");
    }
}
#endregion
#region TreeEdge
public struct Edge
{
    public int from, to;
    public Edge(int f, int t)
    {
        from = f; to = t;
    }
    public override string ToString()
    {
        return string.Format("{0}->{1}", from, to);
    }
}
#endregion

yukicoder

結果

テストケース

コンパイルメッセージ

ソースコード