#492890 (C#(csc)) No.1074 増殖

提出ソース

結果

問題	No.1074 増殖
ユーザー	EmKjp
提出日時	2020-06-05 22:17:46
言語	C#(csc) (csc 3.9.0)
結果	AC
実行時間	426 ms / 2,000 ms
コード長	16,750 bytes
コンパイル時間	3,681 ms
コンパイル使用メモリ	114,568 KB
実行使用メモリ	39,336 KB
最終ジャッジ日時	2023-08-22 16:03:02
合計ジャッジ時間	8,117 ms
ジャッジサーバーID （参考情報）	judge14 / judge12

このコードへのチャレンジ（β）

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	69 ms 34,956 KB
testcase_01	AC	71 ms 30,904 KB
testcase_02	AC	68 ms 32,920 KB
testcase_03	AC	70 ms 33,080 KB
testcase_04	AC	69 ms 30,892 KB
testcase_05	AC	71 ms 32,872 KB
testcase_06	AC	277 ms 39,336 KB
testcase_07	AC	274 ms 37,136 KB
testcase_08	AC	298 ms 37,276 KB
testcase_09	AC	426 ms 37,184 KB
testcase_10	AC	272 ms 39,252 KB
testcase_11	AC	220 ms 39,256 KB
testcase_12	AC	221 ms 39,232 KB
testcase_13	AC	330 ms 39,268 KB
testcase_14	AC	326 ms 37,248 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.Collections;
using System.Collections.Generic;
using System.Diagnostics;
using System.Globalization;
using System.IO;
using System.Text;
using System.Linq;

using E = System.Linq.Enumerable;

internal partial class Solver {
    public void Run() {
        var n = ni();
        var xa = new int[n];
        var ya = new int[n];
        var xb = new int[n];
        var yb = new int[n];

        for (int i = 0; i < n; i++) {
            xa[i] = ni();
            ya[i] = ni();
            xb[i] = ni();
            yb[i] = ni();
        }

        Tuple<int, int> Get(int index, int type) {
            if (type == 0) {
                return Tuple.Create(xb[index], yb[index]);
            } else if (type == 1) {
                return Tuple.Create(-xa[index], yb[index]);
            } else if (type == 2) {
                return Tuple.Create(-xa[index], -ya[index]);
            } else {
                return Tuple.Create(xb[index], -ya[index]);
            }
        }
        var x = new int[n];
        var y = new int[n];
        var ans = new long[n];
        for (int t = 0; t < 4; t++) {
            for (int i = 0; i < n; i++) {
                var pair = Get(i, t);
                x[i] = pair.Item1;
                y[i] = pair.Item2;
            }
            var sub = Solve(n, x, y);
            for (int i = 0; i < n; i++) {
                ans[i] += sub[i];
            }
        }
        cout.WriteLine(ans.JoinToString("\n"));
    }

    private long[] Solve(int n, int[] x, int[] y) {
        var seg = new SegmentTreeBeats();
        seg.Build(new long[20010]);
        var area = 0L;
        var res = new long[n];
        for (int i = 0; i < n; i++) {
            seg.RangeUpdateMax(0, x[i], y[i]);
            var newArea = seg.QuerySum(0, 20010);
            //new { index = i, x = x[i], y = y[i], area, newArea }.Dump();
            res[i] = newArea - area;
            area = newArea;
        }
        return res;
    }
}

public class SegmentTreeBeats {
    private struct Node {
        public long Max, Max2nd, Min, Min2nd, Sum;
        public int MaxCount, MinCount;
        public Node(long value) {
            Max = Min = value;
            Max2nd = long.MinValue;
            Min2nd = long.MaxValue;
            MaxCount = MinCount = 1;
            Sum = value;
        }
    }

    private enum OperatorType {
        None = 0,
        Set = 1,
        Add = 2,
    }

    private struct Operator {
        public static readonly Operator None = new Operator();
        public OperatorType Type;
        public long Value;
    }

    private Node[] _node;
    private Operator[] _operators;
    private int[] _dataNum;
    private int N;

    public void Build(IList<long> array) {
        Build(array.Count, i => array[i]);
    }

    public void Build(int n, Func<int, long> create) {
        N = 1;
        while (N < n) {
            N *= 2;
        }

        _node = new Node[2 * N];
        _operators = new Operator[2 * N];
        _dataNum = new int[2 * N];

        for (int i = 0; i < n; i++) {
            _node[i + N] = new Node(create(i));
            _dataNum[i + N] = 1;
        }
        for (int i = n; i < N; i++) {
            _node[i + N] = new Node(0);
        }

        for (int i = N - 1; i > 0; i--) {
            _dataNum[i] = _dataNum[i << 1] + _dataNum[i << 1 | 1];
            BottomUp(i);
        }
    }

    private void BottomUp(int k) {
        Merge(ref _node[k], ref _node[k << 1], ref _node[k << 1 | 1]);
    }

    private static void Merge(ref Node node, ref Node child1, ref Node child2) {
        int cmp;

        cmp = child1.Max.CompareTo(child2.Max);

        if (cmp < 0) {
            node.Max = child2.Max;
            node.MaxCount = child2.MaxCount;
            node.Max2nd = Math.Max(child2.Max2nd, child1.Max);
        } else if (cmp > 0) {
            node.Max = child1.Max;
            node.MaxCount = child1.MaxCount;
            node.Max2nd = Math.Max(child1.Max2nd, child2.Max);
        } else {
            node.Max = child1.Max;
            node.MaxCount = child1.MaxCount + child2.MaxCount;
            node.Max2nd = Math.Max(child1.Max2nd, child2.Max2nd);
        }

        cmp = child1.Min.CompareTo(child2.Min);

        if (cmp < 0) {
            node.Min = child1.Min;
            node.MinCount = child1.MinCount;
            node.Min2nd = Math.Min(child1.Min2nd, child2.Min);
        } else if (cmp > 0) {
            node.Min = child2.Min;
            node.MinCount = child2.MinCount;
            node.Min2nd = Math.Min(child2.Min2nd, child1.Min);
        } else {
            node.Min = child1.Min;
            node.MinCount = child1.MinCount + child2.MinCount;
            node.Min2nd = Math.Min(child1.Min2nd, child2.Min2nd);
        }

        node.Sum = child1.Sum + child2.Sum;
    }

    private void TopDown(int k) {
        int c1 = k << 1;
        int c2 = c1 | 1;

        if (_operators[k].Type != OperatorType.None) {
            Apply(c1, ref _node[c1], _operators[k]);
            Apply(c2, ref _node[c2], _operators[k]);
            _operators[k] = Operator.None;
        }
        long kmax = _node[k].Max;
        long kmin = _node[k].Min;
        if (kmax < _node[c1].Max) { UpdateNodeMax(ref _node[c1], kmax); }
        if (kmax < _node[c2].Max) { UpdateNodeMax(ref _node[c2], kmax); }
        if (kmin > _node[c1].Min) { UpdateNodeMin(ref _node[c1], kmin); }
        if (kmin > _node[c2].Min) { UpdateNodeMin(ref _node[c2], kmin); }
    }

    private void Apply(int k, ref Node node, Operator @operator) {
        int dataNum = _dataNum[k];
        if (@operator.Type == OperatorType.Set) {
            node.Max = node.Min = @operator.Value;
            node.MaxCount = node.MinCount = dataNum;
            node.Max2nd = long.MinValue;
            node.Min2nd = long.MaxValue;
            node.Sum = dataNum * @operator.Value;
        } else if (@operator.Type == OperatorType.Add) {
            if (@operator.Value != 0) {
                node.Max += @operator.Value;
                node.Min += @operator.Value;
                if (node.Max2nd != long.MinValue) { node.Max2nd += @operator.Value; }
                if (node.Min2nd != long.MaxValue) { node.Min2nd += @operator.Value; }
                node.Sum += dataNum * @operator.Value;
            }
        } else {
            throw new Exception();
        }

        Merge(ref _operators[k], @operator);
    }

    private static void Merge(ref Operator current, Operator append) {
        if (current.Type != OperatorType.None) {
            if (append.Type == OperatorType.Set) { // add (+set +add)
                current = append;
            } else if (current.Type == OperatorType.Set) { // set add (+add)
                current.Value += append.Value;
            } else {
                current.Value += append.Value;
            }
        } else {
            current = append;
        }
    }

    private void ChangeApply(int begin, int end, Operator @operator) {
        Action<int, int, int> apply = null;
        apply = (k, l, r) => {
            if (r <= begin || end <= l) {
                return;
            }
            if (begin <= l && r <= end) {
                Apply(k, ref _node[k], @operator);
                return;
            }
            int mid = (l + r) >> 1;
            TopDown(k);
            apply(k << 1 | 0, l, mid);
            apply(k << 1 | 1, mid, r);
            BottomUp(k);
        };

        apply(1, 0, N);
    }


    private void ChangeApply(int begin, int end, long value, Func<int, long, bool> breakCondition, Func<int, long, bool> tagCondition, Action<int, long> tag) {
        Action<int, int, int> apply = null;
        apply = (k, l, r) => {
            if (r <= begin || end <= l || breakCondition(k, value)) {
                return;
            }

            if (begin <= l && r <= end && tagCondition(k, value)) {
                tag(k, value);
                return;
            }
            int mid = (l + r) >> 1;
            TopDown(k);
            apply(k << 1 | 0, l, mid);
            apply(k << 1 | 1, mid, r);
            BottomUp(k);
        };

        apply(1, 0, N);
    }

    private void UpdateNodeMin(int k, long value) {
        UpdateNodeMin(ref _node[k], value);
    }

    private static void UpdateNodeMin(ref Node node, long value) {
        node.Sum += (value - node.Min) * node.MinCount;
        if (node.Min == node.Max) {
            node.Min = node.Max = value;
        } else if (node.Min == node.Max2nd) {
            node.Min = node.Max2nd = value;
        } else {
            node.Min = value;
        }
    }

    private void UpdateNodeMax(int k, long value) {
        UpdateNodeMax(ref _node[k], value);
    }

    private static void UpdateNodeMax(ref Node node, long value) {
        node.Sum += (value - node.Max) * node.MaxCount;
        if (node.Max == node.Min) {
            node.Max = node.Min = value;
        } else if (node.Max == node.Min2nd) {
            node.Max = node.Min2nd = value;
        } else {
            node.Max = value;
        }
    }

    /// <summary>
    /// a[i] = value where i in [begin,end)
    /// </summary>
    public void RangeSet(int begin, int end, long value) {
        ChangeApply(begin, end, new Operator { Type = OperatorType.Set, Value = value });
    }

    /// <summary>
    /// a[i] += value where i in [begin,end)
    /// </summary>
    public void RangeAdd(int begin, int end, long value) {
        ChangeApply(begin, end, new Operator { Type = OperatorType.Add, Value = value });
    }

    /// <summary>
    /// a[i] = Min(a[i], value) where i in [begin,end)
    /// </summary>
    public void RangeUpdateMin(int begin, int end, long value) {
        ChangeApply(begin, end, value,
            (k, v) => _node[k].Max <= value,
            (k, v) => _node[k].Max2nd < value,
            UpdateNodeMax
        );
    }

    /// <summary>
    /// a[i] = Max(a[i], value) where i in [begin,end)
    /// </summary>
    public void RangeUpdateMax(int begin, int end, long value) {
        ChangeApply(begin, end, value,
            (k, v) => value <= _node[k].Min,
            (k, v) => value < _node[k].Min2nd,
            UpdateNodeMin
        );
    }

    public long QueryMin(int begin, int end) {
        Func<int, int, int, long> query = null;
        query = (k, l, r) => {
            if (r <= begin || end <= l) {
                return long.MaxValue;
            }
            if (begin <= l && r <= end) {
                return _node[k].Min;
            }
            int mid = (l + r) >> 1;
            TopDown(k);
            long lv = query(k << 1 | 0, l, mid);
            long rv = query(k << 1 | 1, mid, r);
            return Math.Min(lv, rv);
        };

        return query(1, 0, N);
    }

    public long QueryMax(int begin, int end) {
        Func<int, int, int, long> query = null;
        query = (k, l, r) => {
            if (r <= begin || end <= l) {
                return long.MinValue;
            }
            if (begin <= l && r <= end) {
                return _node[k].Max;
            }
            int mid = (l + r) >> 1;
            TopDown(k);
            long lv = query(k << 1 | 0, l, mid);
            long rv = query(k << 1 | 1, mid, r);
            return Math.Max(lv, rv);
        };

        return query(1, 0, N);
    }
    public long QuerySum(int begin, int end) {
        Func<int, int, int, long> query = null;
        query = (k, l, r) => {
            if (r <= begin || end <= l) {
                return 0;
            }
            if (begin <= l && r <= end) {
                return _node[k].Sum;
            }
            int mid = (l + r) >> 1;
            TopDown(k);
            long lv = query(k << 1 | 0, l, mid);
            long rv = query(k << 1 | 1, mid, r);
            return lv + rv;
        };

        return query(1, 0, N);
    }
}
// PREWRITEN CODE BEGINS FROM HERE

static public class StringExtensions {
    static public string JoinToString<T>(this IEnumerable<T> source, string separator = " ") {
        return string.Join(separator, source);
    }
}

internal partial class Solver : Scanner {
    public static void Main() {
#if LOCAL
        byte[] inputBuffer = new byte[1000000];
        var inputStream = Console.OpenStandardInput(inputBuffer.Length);
        using (var reader = new StreamReader(inputStream, Console.InputEncoding, false, inputBuffer.Length)) {
            Console.SetIn(reader);
            new Solver(Console.In, Console.Out).Run();
        }
#else
        Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
        new Solver(Console.In, Console.Out).Run();
        Console.Out.Flush();
#endif
    }

#pragma warning disable IDE0052
    private readonly TextReader cin;
    private readonly TextWriter cout;
    private readonly TextWriter cerr;
#pragma warning restore IDE0052

    public Solver(TextReader reader, TextWriter writer)
        : base(reader) {
        cin = reader;
        cout = writer;
        cerr = Console.Error;
    }

    public Solver(string input, TextWriter writer)
        : this(new StringReader(input), writer) {
    }

#pragma warning disable IDE1006
#pragma warning disable IDE0051
    private int ni() { return NextInt(); }
    private int[] ni(int n) { return NextIntArray(n); }
    private long nl() { return NextLong(); }
    private long[] nl(int n) { return NextLongArray(n); }
    private double nd() { return NextDouble(); }
    private double[] nd(int n) { return NextDoubleArray(n); }
    private string ns() { return Next(); }
    private string[] ns(int n) { return NextArray(n); }
#pragma warning restore IDE1006
#pragma warning restore IDE0051
}

internal static class LinqPadExtension {
    [Conditional("DEBUG")]
    public static void Dump<T>(this T obj) {
#if DEBUG
        LINQPad.Extensions.Dump(obj);
#endif
    }
}

public class Scanner {
    private readonly TextReader Reader;
    private readonly CultureInfo ci = CultureInfo.InvariantCulture;

    private readonly char[] buffer = new char[2 * 1024];
    private int cursor = 0, length = 0;
    private string Token;
    private readonly StringBuilder sb = new StringBuilder(1024);

    public Scanner()
        : this(Console.In) {
    }

    public Scanner(TextReader reader) {
        Reader = reader;
    }

    public int NextInt() { return checked((int)NextLong()); }
    public long NextLong() {
        var s = Next();
        long r = 0;
        int i = 0;
        bool negative = false;
        if (s[i] == '-') {
            negative = true;
            i++;
        }
        for (; i < s.Length; i++) {
            r = r * 10 + (s[i] - '0');
#if DEBUG
            if (!char.IsDigit(s[i])) throw new FormatException();
#endif
        }
        return negative ? -r : r;
    }
    public double NextDouble() { return double.Parse(Next(), ci); }
    public string[] NextArray(int size) {
        string[] array = new string[size];
        for (int i = 0; i < size; i++) {
            array[i] = Next();
        }

        return array;
    }
    public int[] NextIntArray(int size) {
        int[] array = new int[size];
        for (int i = 0; i < size; i++) {
            array[i] = NextInt();
        }

        return array;
    }

    public long[] NextLongArray(int size) {
        long[] array = new long[size];
        for (int i = 0; i < size; i++) {
            array[i] = NextLong();
        }

        return array;
    }

    public double[] NextDoubleArray(int size) {
        double[] array = new double[size];
        for (int i = 0; i < size; i++) {
            array[i] = NextDouble();
        }

        return array;
    }

    public string Next() {
        if (Token == null) {
            if (!StockToken()) {
                throw new Exception();
            }
        }
        var token = Token;
        Token = null;
        return token;
    }

    public bool HasNext() {
        if (Token != null) {
            return true;
        }

        return StockToken();
    }

    private bool StockToken() {
        while (true) {
            sb.Clear();
            while (true) {
                if (cursor >= length) {
                    cursor = 0;
                    if ((length = Reader.Read(buffer, 0, buffer.Length)) <= 0) {
                        break;
                    }
                }
                var c = buffer[cursor++];
                if (33 <= c && c <= 126) {
                    sb.Append(c);
                } else {
                    if (sb.Length > 0) break;
                }
            }

            if (sb.Length > 0) {
                Token = sb.ToString();
                return true;
            }

            return false;
        }
    }
}

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