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ABC170-E Smart Infants


問題へのリンク


C#のソース

using System;
using System.Collections.Generic;
using System.Linq;

class Program
{
    static string InputPattern = "InputX";

    static List<string> GetInputList()
    {
        var WillReturn = new List<string>();

        if (InputPattern == "Input1") {
            WillReturn.Add("6 3");
            WillReturn.Add("8 1");
            WillReturn.Add("6 2");
            WillReturn.Add("9 3");
            WillReturn.Add("1 1");
            WillReturn.Add("2 2");
            WillReturn.Add("1 3");
            WillReturn.Add("4 3");
            WillReturn.Add("2 1");
            WillReturn.Add("1 2");
            //6
            //2
            //6
        }
        else if (InputPattern == "Input2") {
            WillReturn.Add("2 2");
            WillReturn.Add("4208 1234");
            WillReturn.Add("3056 5678");
            WillReturn.Add("1 2020");
            WillReturn.Add("2 2020");
            //3056
            //4208
        }
        else {
            string wkStr;
            while ((wkStr = Console.ReadLine()) != null) WillReturn.Add(wkStr);
        }
        return WillReturn;
    }

    struct ABInfoDef
    {
        internal int A;
        internal int B;
    }
    static List<ABInfoDef> mABInfoList = new List<ABInfoDef>();

    struct CDInfoDef
    {
        internal int C;
        internal int D;
    }
    static List<CDInfoDef> mCDInfoList = new List<CDInfoDef>();

    static void Main()
    {
        List<string> InputList = GetInputList();

        int[] wkArr = { };
        Action<string> SplitAct = pStr =>
            wkArr = pStr.Split(' ').Select(pX => int.Parse(pX)).ToArray();

        SplitAct(InputList[0]);
        int N = wkArr[0];

        foreach (string EachStr in InputList.Skip(1).Take(N)) {
            SplitAct(EachStr);
            ABInfoDef WillAdd;
            WillAdd.A = wkArr[0];
            WillAdd.B = wkArr[1];
            mABInfoList.Add(WillAdd);
        }

        foreach (string EachStr in InputList.Skip(1 + N)) {
            SplitAct(EachStr);
            CDInfoDef WillAdd;
            WillAdd.C = wkArr[0];
            WillAdd.D = wkArr[1];
            mCDInfoList.Add(WillAdd);
        }

        Solve();
    }

    class YoujiInfoDef
    {
        internal int Syozoku;
        internal int Rate;
    }

    static void Solve()
    {
        // 幼児情報[幼児ID]なDict
        var YoujiInfoDict = new Dictionary<int, YoujiInfoDef>();
        for (int I = 0; I <= mABInfoList.Count - 1; I++) {
            int CurrA = mABInfoList[I].A;
            int CurrB = mABInfoList[I].B;
            YoujiInfoDict[I + 1] = new YoujiInfoDef() { Syozoku = CurrB, Rate = CurrA };
        }

        // レートのMultiSet[幼稚園] なDict
        var RateMultiSetDict = new Dictionary<int, AVL_Set_MultiSet<int>>();
        foreach (YoujiInfoDef EachYoujiInfo in YoujiInfoDict.Values) {
            if (RateMultiSetDict.ContainsKey(EachYoujiInfo.Syozoku) == false) {
                RateMultiSetDict[EachYoujiInfo.Syozoku] = new AVL_Set_MultiSet<int>();
                RateMultiSetDict[EachYoujiInfo.Syozoku].IsMultiSet = true;
            }
            RateMultiSetDict[EachYoujiInfo.Syozoku].Add(EachYoujiInfo.Rate);
        }
        foreach (CDInfoDef EachCDInfo in mCDInfoList) {
            if (RateMultiSetDict.ContainsKey(EachCDInfo.D) == false) {
                RateMultiSetDict[EachCDInfo.D] = new AVL_Set_MultiSet<int>();
                RateMultiSetDict[EachCDInfo.D].IsMultiSet = true;
            }
        }

        // 幼稚園ごとの最大レートのMultiSet
        var MaxRateMultiSet = new AVL_Set_MultiSet<int>();
        MaxRateMultiSet.IsMultiSet = true;
        foreach (AVL_Set_MultiSet<int> EachCPP_MultiSet in RateMultiSetDict.Values) {
            int Cnt = EachCPP_MultiSet.Count;
            if (Cnt > 0) {
                MaxRateMultiSet.Add(EachCPP_MultiSet[Cnt - 1]);
            }
        }

        // クエリに回答
        var sb = new System.Text.StringBuilder();
        foreach (CDInfoDef EachCDInfo in mCDInfoList) {
            int CurrC = EachCDInfo.C;
            int CurrD = EachCDInfo.D;

            int BeforeSyozoku = YoujiInfoDict[CurrC].Syozoku;
            int Rate = YoujiInfoDict[CurrC].Rate;

            int Cnt1 = RateMultiSetDict[BeforeSyozoku].Count;
            int MaxRate1 = RateMultiSetDict[BeforeSyozoku][Cnt1 - 1];
            MaxRateMultiSet.Remove(MaxRate1);

            RateMultiSetDict[BeforeSyozoku].Remove(Rate);
            if (Cnt1 > 1) {
                int Cnt2 = Cnt1 - 1;
                int MaxRate2 = RateMultiSetDict[BeforeSyozoku][Cnt2 - 1];
                MaxRateMultiSet.Add(MaxRate2);
            }

            int AfterSyozoku = CurrD;
            YoujiInfoDict[CurrC].Syozoku = AfterSyozoku;

            int Cnt3 = RateMultiSetDict[AfterSyozoku].Count;
            if (Cnt3 > 0) {
                int MaxRate3 = RateMultiSetDict[AfterSyozoku][Cnt3 - 1];
                MaxRateMultiSet.Remove(MaxRate3);
            }
            RateMultiSetDict[AfterSyozoku].Add(Rate);
            int Cnt4 = Cnt3 + 1;
            int MaxRate4 = RateMultiSetDict[AfterSyozoku][Cnt4 - 1];
            MaxRateMultiSet.Add(MaxRate4);

            sb.AppendLine(MaxRateMultiSet[0].ToString());
        }
        Console.Write(sb.ToString());
    }
}

#region AVL_Set_MultiSet
/// <summary>
/// 要素の追加、削除、検索、取得が可能な集合を表します.
/// </summary>
/// <typeparam name="T">優先度付きキュー内の要素の型を指定します.</typeparam>
/// <remarks>内部的にはAVL木によって実装されています.</remarks>
internal class AVL_Set_MultiSet<T>
{
    Node root;
    readonly IComparer<T> comparer;
    readonly Node nil;

    /// <summary>
    /// 多重集合かどうかを表します.
    /// </summary>
    internal bool IsMultiSet { get; set; }
    internal AVL_Set_MultiSet(IComparer<T> comparer)
    {
        nil = new Node(default(T));
        root = nil;
        this.comparer = comparer;
    }

    internal AVL_Set_MultiSet() : this(Comparer<T>.Default) { }

    /// <summary>
    /// 要素をコレクションに追加します.
    /// </summary>
    /// <remarks>この操作は計算量 O(log N) で実行されます.</remarks>
    internal bool Add(T v)
    {
        return insert(ref root, v);
    }

    /// <summary>
    /// v が存在するならコレクションから削除します.
    /// </summary>
    /// <remarks>この操作は計算量 O(log N) で実行されます.</remarks>
    internal bool Remove(T v)
    {
        return remove(ref root, v);
    }

    /// <summary>
    /// 0-indexed で index 番目の要素をコレクションから取得します..
    /// </summary>
    /// <remarks>この操作は計算量 O(log N) で実行されます.</remarks>
    internal T this[int index] { get { return find(root, index); } }
    internal int Count { get { return root.Count; } }

    internal void RemoveAt(int k)
    {
        if (k < 0 || k >= root.Count) throw new ArgumentOutOfRangeException();
        removeAt(ref root, k);
    }

    /// <summary>
    /// このコレクションに含まれる要素を昇順に並べて返します.
    /// </summary>
    /// <remarks>この操作は計算量 O(N) で実行されます.</remarks>
    internal T[] Items
    {
        get
        {
            T[] ret = new T[root.Count];
            int k = 0;
            walk(root, ret, ref k);
            return ret;
        }
    }

    private void walk(Node t, T[] a, ref int k)
    {
        if (t.Count == 0) return;
        walk(t.lst, a, ref k);
        a[k++] = t.Key;
        walk(t.rst, a, ref k);
    }

    private bool insert(ref Node t, T key)
    {
        if (t.Count == 0) { t = new Node(key); t.lst = t.rst = nil; t.Update(); return true; }
        int cmp = comparer.Compare(t.Key, key);
        bool res;
        if (cmp > 0)
            res = insert(ref t.lst, key);
        else if (cmp == 0) {
            if (IsMultiSet) res = insert(ref t.lst, key);
            else return false;
        }
        else res = insert(ref t.rst, key);
        balance(ref t);
        return res;
    }

    private bool remove(ref Node t, T key)
    {
        if (t.Count == 0) return false;
        int cmp = comparer.Compare(key, t.Key);
        bool ret;
        if (cmp < 0) ret = remove(ref t.lst, key);
        else if (cmp > 0) ret = remove(ref t.rst, key);
        else {
            ret = true;
            var k = t.lst.Count;
            if (k == 0) { t = t.rst; return true; }
            if (t.rst.Count == 0) { t = t.lst; return true; }

            t.Key = find(t.lst, k - 1);
            removeAt(ref t.lst, k - 1);
        }
        balance(ref t);
        return ret;
    }

    private void removeAt(ref Node t, int k)
    {
        int cnt = t.lst.Count;
        if (cnt < k) removeAt(ref t.rst, k - cnt - 1);
        else if (cnt > k) removeAt(ref t.lst, k);
        else {
            if (cnt == 0) { t = t.rst; return; }
            if (t.rst.Count == 0) { t = t.lst; return; }

            t.Key = find(t.lst, k - 1);
            removeAt(ref t.lst, k - 1);
        }
        balance(ref t);
    }

    private void balance(ref Node t)
    {
        int balance = t.lst.Height - t.rst.Height;
        if (balance == -2) {
            if (t.rst.lst.Height - t.rst.rst.Height > 0) { rotR(ref t.rst); }
            rotL(ref t);
        }
        else if (balance == 2) {
            if (t.lst.lst.Height - t.lst.rst.Height < 0) rotL(ref t.lst);
            rotR(ref t);
        }
        else t.Update();
    }

    private T find(Node t, int k)
    {
        if (k < 0 || k > root.Count) throw new ArgumentOutOfRangeException();
        while (true) {
            if (k == t.lst.Count) return t.Key;
            else if (k < t.lst.Count) t = t.lst;
            else { k -= t.lst.Count + 1; t = t.rst; }
        }
    }
    /// <summary>
    /// コレクションに含まれる要素であって、 v 以上の最小の要素の番号を返します。
    /// </summary>
    /// <remarks>この操作は計算量 O(log N) で実行されます.</remarks>
    internal int LowerBound(T v)
    {
        int k = 0;
        Node t = root;
        while (true) {
            if (t.Count == 0) return k;
            if (comparer.Compare(v, t.Key) <= 0) t = t.lst;
            else { k += t.lst.Count + 1; t = t.rst; }
        }
    }
    /// <summary>
    /// コレクションに含まれる要素であって、 v より真に大きい、最小の要素の番号を返します。
    /// </summary>
    /// <remarks>この操作は計算量 O(log N) で実行されます.</remarks>
    internal int UpperBound(T v)
    {
        int k = 0;
        Node t = root;
        while (true) {
            if (t.Count == 0) return k;
            if (comparer.Compare(t.Key, v) <= 0) { k += t.lst.Count + 1; t = t.rst; }
            else t = t.lst;
        }
    }

    private void rotR(ref Node t)
    {
        Node l = t.lst;
        t.lst = l.rst;
        l.rst = t;
        t.Update();
        l.Update();
        t = l;
    }

    private void rotL(ref Node t)
    {
        Node r = t.rst;
        t.rst = r.lst;
        r.lst = t;
        t.Update();
        r.Update();
        t = r;
    }

    // 追加機能 LowerBoundで返したIndが、有効範囲かを判定
    internal bool IsValidInd(int pInd)
    {
        if (pInd < 0) return false;
        if (this.Count <= pInd) return false;
        return true;
    }

    class Node
    {
        internal Node(T key)
        {
            Key = key;
        }
        internal int Count { get; private set; }
        internal int Height { get; private set; }
        internal T Key { get; set; }
        internal Node lst, rst;
        internal void Update()
        {
            Count = 1 + lst.Count + rst.Count;
            Height = 1 + Math.Max(lst.Height, rst.Height);
        }
        public override string ToString()
        {
            return string.Format("Count = {0}, Key = {1}", Count, Key);
        }
    }
}
#endregion


解説

データ構造を使い分けてます。