結果

問題 No.1074 増殖
ユーザー kakel-san
提出日時 2025-10-15 00:23:04
言語 C#
(.NET 8.0.404)
結果
AC  
実行時間 322 ms / 2,000 ms
コード長 12,474 bytes
コンパイル時間 8,760 ms
コンパイル使用メモリ 167,900 KB
実行使用メモリ 229,196 KB
最終ジャッジ日時 2025-10-15 00:23:17
合計ジャッジ時間 12,871 ms
ジャッジサーバーID
(参考情報)
judge3 / judge4
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 12
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
  復元対象のプロジェクトを決定しています...
  /home/judge/data/code/main.csproj を復元しました (116 ミリ秒)。
  main -> /home/judge/data/code/bin/Release/net8.0/main.dll
  main -> /home/judge/data/code/bin/Release/net8.0/publish/

ソースコード

diff #

using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray();
    static int[] NMi => ReadLine().Split().Select(c => int.Parse(c) - 1).ToArray();
    static int[][] NMap(int n) => Enumerable.Repeat(0, n).Select(_ => NMi).ToArray();
    static string[] SList(long n) => Enumerable.Repeat(0, (int)n).Select(_ => ReadLine()).ToArray();
    static long[] LList(long n) => Enumerable.Repeat(0, (int)n).Select(_ => long.Parse(ReadLine())).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var n = NN;
        var map = NArr(n);
        var ans = new int[n];

        var cmap = new int[n][];
        for (var i = 0; i < n; ++i) cmap[i] = new int[] { map[i][2], map[i][3] };
        Calc(n, cmap, ans);
        for (var i = 0; i < n; ++i) cmap[i] = new int[] { -map[i][0], map[i][3] };
        Calc(n, cmap, ans);
        for (var i = 0; i < n; ++i) cmap[i] = new int[] { -map[i][0], -map[i][1] };
        Calc(n, cmap, ans);
        for (var i = 0; i < n; ++i) cmap[i] = new int[] { map[i][2], -map[i][1] };
        Calc(n, cmap, ans);
        WriteLine(string.Join("\n", ans));
    }
    static void Calc(int n, int[][] map, int[] ans)
    {
        var rtx = new AvlTree<InfoX>();
        for (var i = 0; i < n; ++i)
        {
            var ins = new InfoX(map[i][0], map[i][1]);
            var deleted = new List<InfoX>();
            var npos = 0;
            var next = rtx.LowerBound(ins, ref npos);
            var flg = true;
            while (true)
            {
                if (npos < rtx.GetCount())
                {
                    if (next.Y >= ins.Y)
                    {
                        flg = false;
                        break;
                    }
                    else if (next.X == ins.X && next.Y < ins.Y)
                    {
                        rtx.Delete(next);
                        deleted.Add(next);
                    }
                    else break;
                }
                else break;
                next = rtx.ElementAt(npos);
            }
            if (flg)
            {
                while (npos > 0)
                {
                    var prev = rtx.ElementAt(npos - 1);
                    if (prev.Y <= ins.Y)
                    {
                        rtx.Delete(prev);
                        deleted.Add(prev);
                        --npos;
                    }
                    else break;
                }
                var basex = 0;
                if (npos > 0) basex = rtx.ElementAt(npos - 1).X;
                var basey = 0;
                if (npos < rtx.GetCount()) basey = rtx.ElementAt(npos).Y;
                var prevy = basey;
                var darea = 0;
                foreach (var di in deleted)
                {
                    darea += (di.X - basex) * (di.Y - prevy);
                    prevy = di.Y;
                }
                ans[i] += (ins.X - basex) * (ins.Y - basey) - darea;
                rtx.Insert(ins);
            }
        }
    }
    class InfoX : IComparable<InfoX>
    {
        public int X;
        public int Y;
        public InfoX(int x, int y)
        {
            X = x; Y = y;
        }
        public int CompareTo(InfoX other)
        {
            return X.CompareTo(other.X);
        }
        public override string ToString()
        {
            return $"({X}, {Y})";
        }
    }
    public class AvlTree<T> where T: IComparable<T>
    {
        private class Node<U> where U: IComparable<U>
        {
            public U Value;
            public Node<U> Lc = null;
            public Node<U> Rc = null;
            public int Height;
            public int Count;
            public int CCount;
            public Node(int height, U value)
            {
                Height = height;
                Count = 1;
                CCount = 1;
                Value = value;
            }
        }
        private Node<T> root = null;
        static int GetHeight(Node<T> t)
        {
            return t == null ? 0 : t.Height;
        }
        static int GetCount(Node<T> t)
        {
            return t == null ? 0 : t.Count;
        }
        static int GetBalance(Node<T> t)
        {
            return GetHeight(t.Lc) - GetHeight(t.Rc);
        }
        static void Recalc(Node<T> t)
        {
            if (t == null) return;
            t.Height = 1 + Math.Max(GetHeight(t.Lc), GetHeight(t.Rc));
            t.Count = t.CCount + GetCount(t.Lc) + GetCount(t.Rc);
        }
        static Node<T> RotateLeft(Node<T> t)
        {
            Node<T> u = t.Rc;
            Node<T> t2 = u.Lc;
            u.Lc = t;
            t.Rc = t2;
            Recalc(t);
            Recalc(u);
            return u;
        }
        static Node<T> RotateRight(Node<T> t)
        {
            Node<T> u = t.Lc;
            Node<T> t2 = u.Rc;
            u.Rc = t;
            t.Lc = t2;
            Recalc(t);
            Recalc(u);
            return u;
        }
        static Node<T> RotateLR(Node<T> t)
        {
            t.Lc = RotateLeft(t.Lc);
            return RotateRight(t);
        }
        static Node<T> RotateRL(Node<T> t)
        {
            t.Rc = RotateRight(t.Rc);
            return RotateLeft(t);
        }
        static Node<T> BalanceLeft(Node<T> t)
        {
            if (GetBalance(t) > 1)
            {
                if (GetBalance(t.Lc) < 0) t = RotateLR(t);
                else t = RotateRight(t);
            }
            Recalc(t);
            return t;
        }
        static Node<T> BalanceRight(Node<T> t)
        {
            if (GetBalance(t) < -1)
            {
                if (GetBalance(t.Rc) > 0) t = RotateRL(t);
                else t = RotateLeft(t);
            }
            Recalc(t);
            return t;
        }
        /// <summary>valueを挿入する</summary>
        public void Insert(T value)
        {
            root = Insert(root, value);
        }
        Node<T> Insert(Node<T> cur, T value)
        {
            if (cur == null)
            {
                return new Node<T>(1, value);
            }
            var d = value.CompareTo(cur.Value);
            if (d < 0)
            {
                cur.Lc = Insert(cur.Lc, value);
                return BalanceLeft(cur);
            }
            else if (d > 0)
            {
                cur.Rc = Insert(cur.Rc, value);
                return BalanceRight(cur);
            }
            else
            {
                ++cur.CCount;
                Recalc(cur);
                return cur;
            }
        }
        /// <summary>valueを削除する 存在しない場合はなにもしない</summary>
        public void Delete(T value)
        {
            root = Delete(root, value);
        }
        Node<T> Delete(Node<T> cur, T value)
        {
            if (cur == null) return null;
            var d = value.CompareTo(cur.Value);
            if (d < 0)
            {
                cur.Lc = Delete(cur.Lc, value);
                return BalanceRight(cur);
            }
            else if (d > 0)
            {
                cur.Rc = Delete(cur.Rc, value);
                return BalanceLeft(cur);
            }
            else
            {
                --cur.CCount;
                if (cur.CCount == 0)
                {
                    if (cur.Lc != null)
                    {
                        Node<T> del = null;
                        var max = DeleteMax(cur.Lc, ref del);
                        cur.Lc = max;
                        cur.Value = del.Value;
                        cur.CCount = del.CCount;
                        return BalanceRight(cur);
                    }
                    else
                    {
                        return cur.Rc;
                    }
                }
                else
                {
                    Recalc(cur);
                    return cur;
                }
            }
        }
        Node<T> DeleteMax(Node<T> t, ref Node<T> del)
        {
            if (t.Rc == null)
            {
                del = t;
                return t.Lc;
            }
            else
            {
                var max = DeleteMax(t.Rc, ref del);
                t.Rc = max;
                return BalanceLeft(t);
            }
        }
        /// <summary>小さいほうからpos番目の要素を取得する</summary>
        public T ElementAt(int pos)
        {
            if (pos < 0 || pos >= GetCount(root)) return default;
            var t = ElementAt(root, pos);
            return t.Value;
        }
        /// <summary>小さいほうからpos番目の要素を取得する</summary>
        public T ElementAt(int pos, T defaultValue)
        {
            if (pos < 0 || pos >= GetCount(root)) return defaultValue;
            return ElementAt(pos);
        }
        Node<T> ElementAt(Node<T> cur, int pos)
        {
            if (pos < GetCount(cur.Lc)) return ElementAt(cur.Lc, pos);
            if (pos < GetCount(cur.Lc) + cur.CCount) return cur;
            if (pos < cur.Count) return ElementAt(cur.Rc, pos - GetCount(cur.Lc) - cur.CCount);
            return null;
        }
        public void Debug()
        {
            if (root == null) return;
            Console.WriteLine($"root val:{root.Value}, CCount:{root.CCount}, Count:{root.Count}");
            Debug(root.Value, root.Lc);
            Debug(root.Value, root.Rc);
        }
        void Debug(T pval, Node<T> cur)
        {
            if (cur == null) return;
            Console.WriteLine($"{pval} -> val:{cur.Value}, CCount:{cur.CCount}, Count:{cur.Count}");
            Debug(cur.Value, cur.Lc);
            Debug(cur.Value, cur.Rc);
        }
        /// <summary>value以上でもっとも小さい値とその場所を返却する</summary>
        public T LowerBound(T value, ref int index)
        {
            var cur = root;
            T ans = default;
            var add = 0;
            index = GetCount(root);
            while (cur != null)
            {
                if (value.CompareTo(cur.Value) <= 0)
                {
                    ans = cur.Value;
                    index = add + GetCount(cur.Lc);
                    cur = cur.Lc;
                }
                else
                {
                    add += GetCount(cur.Lc) + cur.CCount;
                    cur = cur.Rc;
                }
            }
            return ans;
        }
        /// <summary>要素の個数を求める</summary>
        public int GetCount()
        {
            return GetCount(root);
        }
        /// <summary>要素の一覧を返す</summary>
        public List<T> GetValues()
        {
            var list = new List<T>();
            if (root != null) GetValues(root, list);
            return list;
        }
        static void GetValues(Node<T> cur, List<T> list)
        {
            if (cur.Lc != null) GetValues(cur.Lc, list);
            list.Add(cur.Value);
            if (cur.Rc != null) GetValues(cur.Rc, list);
        }
        /// <summary>指定された要素が存在するか求める</summary>
        /// <param name="value"></param>
        /// <returns></returns>
        public bool Contains(T value)
        {
            if (root == null) return false;
            return Contains(root, value);
        }
        static bool Contains(Node<T> cur, T value)
        {
            var d = cur.Value.CompareTo(value);
            if (d == 0) return true;
            if (d > 0)
            {
                if (cur.Lc == null) return false;
                return Contains(cur.Lc, value);
            }
            else
            {
                if (cur.Rc == null) return false;
                return Contains(cur.Rc, value);
            }
        }
    }
}
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