結果

問題 No.878 Range High-Element Query
コンテスト
ユーザー ひばち
提出日時 2020-03-12 16:29:39
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 320 ms / 2,000 ms
コード長 8,315 bytes
コンパイル時間 3,590 ms
コンパイル使用メモリ 120,468 KB
実行使用メモリ 48,808 KB
最終ジャッジ日時 2024-11-18 14:23:26
合計ジャッジ時間 7,610 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
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ファイルパターン 結果
sample AC * 1
other AC * 18
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

diff # 

using System;
using System.Collections.Generic;
using System.Linq;
using System.IO;
using System.Runtime.CompilerServices;
using System.Text;
using System.Diagnostics;
using System.Numerics;
using static System.Console;
using static System.Convert;
using static System.Math;
using static Template;
using Pi = Pair<int, int>;

class Solver
{

    public void Solve(Scanner sc)
    {
        int N, Q;
        sc.Make(out N, out Q);
        var A = new int[N]; 
        for (int i = 0; i < N; i++)
        {
            A[i] = sc.Next<int>() - 1;
        }
        var seg = new SegmentTree<int>(N, N, Min);
        var nx = Create(18, () => Create(N, () => N));
        for(int i = N - 1; i >= 0; i--)
        {
            nx[0][i] = seg.Query(0, N - A[i] - 1);
            seg.Update(N - A[i] - 1, i);
        }
        for (int i = 1; i < 18; i++)
            for (int j = 0; j < N; j++)
                if (nx[i - 1][j] != N)
                    nx[i][j] = nx[i - 1][nx[i - 1][j]];
        while (Q-- > 0)
        {
            int q, l, r;
            sc.Make(out q, out l, out r);
            l--;var res = 1;
            for(int i=17;i>=0;i--)
                if (nx[i][l] < r)
                {
                    l = nx[i][l];res += 1 << i;
                }
            WriteLine(res);
        }
    }
}

public class SegmentTree<T>
{
    protected readonly T[] dat;
    protected readonly int sz;
    protected readonly Func<T, T, T> merge;
    protected readonly Func<T, T, T> update;
    protected readonly T id;
    private bool finished = true;
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    protected int Left(int i)
        => i << 1;
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    protected int Right(int i)
        => (i << 1) | 1;
    public T this[int i]
    {
        get { return dat[i + sz]; }
        set { finished = false; dat[i + sz] = value; }
    }

    public SegmentTree(int N, T id, Func<T, T, T> merge, Func<T, T, T> update = null)
    {
        this.sz = 1;
        while (sz < N) sz <<= 1;
        this.id = id;
        this.merge = merge;
        this.update = update ?? ((T val1, T val2) => val2);
        dat = Create(sz << 1, () => id);
    }

    public void Update(int i, T value)
    {
        i += sz;
        dat[i] = update(dat[i], value);
        while (i > 1)
        {
            i >>= 1;
            dat[i] = merge(dat[Left(i)], dat[Right(i)]);
        }
    }

    public void Build()
    {
        for (int i = sz - 1; i > 0; i--)
            dat[i] = merge(dat[Left(i)], dat[Right(i)]);
        finished = true;
    }

    public virtual T Query(int left, int right)
    {
        if (!finished) throw new Exception("You need to Execute \"Build()\"");
        T l = id, r = id;
        for (left += sz, right += sz; left < right; left >>= 1, right >>= 1)
        {
            if ((left & 1) == 1) l = merge(l, dat[left++]);
            if ((right & 1) == 1) r = merge(dat[--right], r);
        }
        return merge(l, r);
    }

    public int Find(int st, Func<T, bool> check)
    {
        var x = id;
        return Find(st, check, ref x, 1, 0, sz);
    }
    private int Find(int st, Func<T, bool> check, ref T x, int k, int l, int r)
    {
        if (l + 1 == r)
        { x = merge(x, dat[k]); return check(x) ? k - sz : -1; }
        var m = (l + r) >> 1;
        if (m <= st) return Find(st, check, ref x, Right(k), m, r);
        if (st <= l && !check(merge(x, dat[k])))
        { x = merge(x, dat[k]); return -1; }
        var xl = Find(st, check, ref x, Left(k), l, m);
        if (xl >= 0) return xl;
        return Find(st, check, ref x, Right(k), m, r);
    }
}
#region Template
public static class Template
{
    static void Main(string[] args)
    {
        Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
        new Solver().Solve(new Scanner());
        Console.Out.Flush();
    }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static bool chmin<T>(ref T a, T b) where T : IComparable<T> { if (a.CompareTo(b) == 1) { a = b; return true; } return false; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static bool chmax<T>(ref T a, T b) where T : IComparable<T> { if (a.CompareTo(b) == -1) { a = b; return true; } return false; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static void swap<T>(ref T a, ref T b) { var t = b; b = a; a = t; }
    public static T[] Shuffle<T>(this IList<T> A) { T[] rt = A.ToArray(); Random rnd = new Random(); for (int i = rt.Length - 1; i >= 1; i--) swap(ref rt[i], ref rt[rnd.Next(i + 1)]); return rt; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static T[] Create<T>(int n, Func<T> f) { var rt = new T[n]; for (var i = 0; i < rt.Length; ++i) rt[i] = f(); return rt; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static T[] Create<T>(int n, Func<int, T> f) { var rt = new T[n]; for (var i = 0; i < rt.Length; ++i) rt[i] = f(i); return rt; }
    public static void Fail<T>(T s) { Console.WriteLine(s); Console.Out.Close(); Environment.Exit(0); }
}
public class Scanner
{
    public string Str => Console.ReadLine().Trim();
    public int Int => int.Parse(Str);
    public long Long => long.Parse(Str);
    public double Double => double.Parse(Str);
    public int[] ArrInt => Str.Split(' ').Select(int.Parse).ToArray();
    public long[] ArrLong => Str.Split(' ').Select(long.Parse).ToArray();
    public char[][] Grid(int n) => Create(n, () => Str.ToCharArray());
    public int[] ArrInt1D(int n) => Create(n, () => Int);
    public long[] ArrLong1D(int n) => Create(n, () => Long);
    public int[][] ArrInt2D(int n) => Create(n, () => ArrInt);
    public long[][] ArrLong2D(int n) => Create(n, () => ArrLong);
    private Queue<string> q = new Queue<string>();
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public T Next<T>() { if (q.Count == 0) foreach (var item in Str.Split(' ')) q.Enqueue(item); return (T)Convert.ChangeType(q.Dequeue(), typeof(T)); }
    public void Make<T1>(out T1 v1) => v1 = Next<T1>();
    public void Make<T1, T2>(out T1 v1, out T2 v2) { v1 = Next<T1>(); v2 = Next<T2>(); }
    public void Make<T1, T2, T3>(out T1 v1, out T2 v2, out T3 v3) { Make(out v1, out v2); v3 = Next<T3>(); }
    public void Make<T1, T2, T3, T4>(out T1 v1, out T2 v2, out T3 v3, out T4 v4) { Make(out v1, out v2, out v3); v4 = Next<T4>(); }
    public void Make<T1, T2, T3, T4, T5>(out T1 v1, out T2 v2, out T3 v3, out T4 v4, out T5 v5) { Make(out v1, out v2, out v3, out v4); v5 = Next<T5>(); }
    public void Make<T1, T2, T3, T4, T5, T6>(out T1 v1, out T2 v2, out T3 v3, out T4 v4, out T5 v5, out T6 v6) { Make(out v1, out v2, out v3, out v4, out v5); v6 = Next<T6>(); }
    //public (T1, T2) Make<T1, T2>() { Make(out T1 v1, out T2 v2); return (v1, v2); }
    //public (T1, T2, T3) Make<T1, T2, T3>() { Make(out T1 v1, out T2 v2, out T3 v3); return (v1, v2, v3); }
    //public (T1, T2, T3, T4) Make<T1, T2, T3, T4>() { Make(out T1 v1, out T2 v2, out T3 v3, out T4 v4); return (v1, v2, v3, v4); }
}
public class Pair<T1, T2> : IComparable<Pair<T1, T2>>
{
    public T1 v1;
    public T2 v2;
    public Pair() { }
    public Pair(T1 v1, T2 v2)
    { this.v1 = v1; this.v2 = v2; }

    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public int CompareTo(Pair<T1, T2> p)
    {
        var c = Comparer<T1>.Default.Compare(v1, p.v1);
        if (c == 0)
            c = Comparer<T2>.Default.Compare(v2, p.v2);
        return c;
    }
    public override string ToString() => $"{v1.ToString()} {v2.ToString()}";
    public void Deconstruct(out T1 a, out T2 b) { a = v1; b = v2; }
}

public class Pair<T1, T2, T3> : Pair<T1, T2>, IComparable<Pair<T1, T2, T3>>
{
    public T3 v3;
    public Pair() : base() { }
    public Pair(T1 v1, T2 v2, T3 v3) : base(v1, v2)
    { this.v3 = v3; }

    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public int CompareTo(Pair<T1, T2, T3> p)
    {
        var c = base.CompareTo(p);
        if (c == 0)
            c = Comparer<T3>.Default.Compare(v3, p.v3);
        return c;
    }
    public override string ToString() => $"{base.ToString()} {v3.ToString()}";
    public void Deconstruct(out T1 a, out T2 b, out T3 c) { Deconstruct(out a, out b); c = v3; }
}
#endregion
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