結果

問題 No.60 魔法少女
ユーザー くれちーくれちー
提出日時 2017-11-26 19:12:13
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 103 ms / 5,000 ms
コード長 13,808 bytes
コンパイル時間 2,688 ms
コンパイル使用メモリ 116,992 KB
実行使用メモリ 25,856 KB
最終ジャッジ日時 2024-05-05 13:50:10
合計ジャッジ時間 4,677 ms
ジャッジサーバーID
(参考情報)
judge4 / judge3
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 56 ms
22,912 KB
testcase_01 AC 54 ms
22,656 KB
testcase_02 AC 51 ms
22,528 KB
testcase_03 AC 52 ms
22,656 KB
testcase_04 AC 76 ms
22,912 KB
testcase_05 AC 83 ms
25,856 KB
testcase_06 AC 103 ms
25,856 KB
testcase_07 AC 87 ms
25,344 KB
testcase_08 AC 75 ms
24,192 KB
testcase_09 AC 65 ms
22,912 KB
testcase_10 AC 98 ms
25,728 KB
testcase_11 AC 59 ms
23,168 KB
testcase_12 AC 75 ms
25,344 KB
testcase_13 AC 99 ms
25,856 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

diff #

using System;
using System.Collections;
using System.Collections.Generic;
using System.Diagnostics;
using System.IO;
using System.Linq;
using System.Numerics;
using System.Text;
using static System.Math;
using static Extensions;
using static MathExtensions;

public static class Program
{
    public static void Solve()
    {
        var (n, k) = (I, I);
        var (x, y, hp) = Repeat(n, () => (I + 500, I + 500, I)).ToArray().Unzip();
        var imos = new Imos2D<int>(1001, 1001, Group.Sum_Int32);

        Repeat(k, () =>
        {
            var (ax, ay, w, h, d) = (I + 500, I + 500, I, I, I);
            imos.Append(ay, ax, ay + h, ax + w, d);
        });

        imos.Integrate();
        var ans = Repeat(n, i => Max(0, hp[i] - imos[y[i], x[i]])).Sum();

        Console.WriteLine(ans);
    }

    #region Scanners
    static Scanner _scanner;
    static char C => _scanner.NextChar();
    static string S => _scanner.NextString();
    static int I => _scanner.NextInt();
    static long L => _scanner.NextLong();
    static BigInteger B => _scanner.NextBigInteger();
    static double D => _scanner.NextDouble();
    static decimal M => _scanner.NextDecimal();
    #endregion

    public static void Main()
    {
        var sw = new StreamWriter(Console.OpenStandardOutput());
        sw.NewLine = "\n";
#if DEBUG
        sw.AutoFlush = true;
        //Console.SetError(sw);
#else
        sw.AutoFlush = false;
#endif
        Console.SetOut(sw);
        _scanner = new Scanner(Console.OpenStandardInput());
        Solve();
        Console.Out.Flush();
    }
}

public static partial class Extensions
{
}

#region Library
public class Scanner
{
    private readonly Stream _stream;
    private const int _bufferSize = 1024;
    private readonly byte[] _buf = new byte[_bufferSize];
    private int _len, _ptr;

    public Scanner(Stream stream)
    {
        _stream = stream;
    }

    public byte ReadByte()
    {
        if (_ptr >= _len)
        {
            _len = _stream.Read(_buf, 0, _bufferSize);
            _ptr = 0;
        }
        return _buf[_ptr++];
    }

    public char ReadChar() => (char)ReadByte();

    public string ReadLine()
    {
        var r = new StringBuilder();
        if (_ptr == 0) r.Append(ReadChar());
        for (; _ptr < _len; _ptr++) r.Append((char)_buf[_ptr]);
        return r.ToString();
    }

    public char NextChar() => char.Parse(NextString());

    public string NextString()
    {
        var r = new StringBuilder();
        var b = ReadChar();
        while (b != ' ' && b != '\n')
        {
            r.Append(b);
            b = ReadChar();
        }
        return r.ToString();
    }

    public int NextInt() => (int)NextLong();

    public long NextLong()
    {
        var r = 0L;
        var b = ReadByte();
        var n = b == '-';
        if (n) b = ReadByte();
        while (b != ' ' && b != '\n')
        {
            r = r * 10 + b - '0';
            b = ReadByte();
        }
        return n ? -r : r;
    }

    public BigInteger NextBigInteger()
    {
        var r = new BigInteger();
        var b = ReadByte();
        var n = b == '-';
        if (n) b = ReadByte();
        while (b != ' ' && b != '\n')
        {
            r = r * 10 + b - '0';
            b = ReadByte();
        }
        return n ? -r : r;
    }

    public double NextDouble()
    {
        var i = 0L;
        var b = ReadByte();
        var n = b == '-';
        if (n) b = ReadByte();
        while (b != '.' && b != ' ' && b != '\n')
        {
            i = i * 10 + b - '0';
            b = ReadByte();
        }
        if (b != '.') return n ? -i : i;
        b = ReadByte();
        var f = 0L;
        var p = 0;
        while (b != ' ' && b != '\n')
        {
            f = f * 10 + b - '0';
            b = ReadByte();
            p++;
        }
        var r = i + (double)f / MathExtensions.Pow(10, p);
        return n ? -r : r;
    }

    public decimal NextDecimal() => decimal.Parse(NextString());

    public T Next<T>(Converter<string, T> parser) => parser(NextString());
}

public class Monoid<T>
{
    public Monoid(T unit, Func<T, T, T> append)
    {
        this.Unit = unit;
        this.Append = append;
    }

    public T Unit { get; }

    public Func<T, T, T> Append { get; }
}

public static class Monoid
{
    public static Monoid<T> Create<T>(T unit, Func<T, T, T> append) => new Monoid<T>(unit, append);

    public static readonly Monoid<int> Min_Int32 = new Monoid<int>(int.MaxValue, Min);
    public static readonly Monoid<int> Max_Int32 = new Monoid<int>(int.MinValue, Max);

    public static readonly Monoid<long> Min_Int64 = new Monoid<long>(long.MaxValue, Min);
    public static readonly Monoid<long> Max_Int64 = new Monoid<long>(long.MinValue, Max);
}

public class Group<T> : Monoid<T>
{
    public Group(T unit, Func<T, T, T> append, Func<T, T> invert) : base(unit, append)
    {
        this.Invert = invert;
    }

    public Func<T, T> Invert { get; }
}

public static class Group
{
    public static Group<T> Create<T>(T unit, Func<T, T, T> append, Func<T, T> invert)
        => new Group<T>(unit, append, invert);

    public static readonly Group<int> Sum_Int32 = new Group<int>(0, (x, y) => x + y, x => -x);
    public static readonly Group<long> Sum_Int64 = new Group<long>(0L, (x, y) => x + y, x => -x);
}

public class Imos2D<T>
{
    private readonly T[][] _array;

    public Imos2D(int height, int width, Monoid<T> monoid)
    {
        _array = new T[height][];
        for (var i = 0; i < height; i++) _array[i] = Enumerable.Repeat(monoid.Unit, width).ToArray();
        this.Monoid = monoid;
    }

    public Imos2D(int height, int width, Group<T> group) : this(height, width, (Monoid<T>)group)
    {
        this.Group = group;
    }

    public Monoid<T> Monoid { get; }

    public Group<T> Group { get; }

    public int Degree { get; private set; } = -1;

    public int Height => _array.Length;

    public int Width => _array[0].Length;

    public T this[int h, int w]
    {
        get
        {
            if (this.Degree < 0) throw new InvalidOperationException();
            return _array[h][w];
        }
    }

    public void Append(int h1, int w1, int h2, int w2, T value)
    {
        _array[h1][w1] = this.Group.Append(_array[h1][w1], value);
        var inv = this.Group.Invert(value);
        if (++w2 < this.Width)
            _array[h1][w2] = this.Group.Append(_array[h1][w2], inv);
        if (++h2 < this.Height)
            _array[h2][w1] = this.Group.Append(_array[h2][w1], inv);
        if (w2 < this.Width && h2 < this.Height)
            _array[h2][w2] = this.Group.Append(_array[h2][w2], value);
    }

    public void Append(int h1, int w1, T value)
    {
        _array[h1][w1] = this.Monoid.Append(_array[h1][w1], value);
    }

    public void Integrate()
    {
        for (var h = 0; h < this.Height; h++)
            for (var w = 1; w < this.Width; w++)
                _array[h][w] = this.Monoid.Append(_array[h][w - 1], _array[h][w]);
        for (var w = 0; w < this.Width; w++)
            for (var h = 1; h < this.Height; h++)
                _array[h][w] = this.Monoid.Append(_array[h - 1][w], _array[h][w]);
        this.Degree++;
    }

    public void Differentiate()
    {
        if (this.Degree < 0) throw new InvalidOperationException();
        for (var w = this.Width - 1; w >= 0; w--)
            for (var h = this.Height - 1; h > 0; h--)
                _array[h][w] = this.Group.Append(_array[h][w], this.Group.Invert(_array[h - 1][w]));
        for (var h = this.Height - 1; h >= 0; h--)
            for (var w = this.Width - 1; w > 0; w--)
                _array[h][w] = this.Group.Append(_array[h][w], this.Group.Invert(_array[h][w - 1]));
    }
}

[DebuggerStepThrough]
public static partial class Extensions
{
    public static void Assert(bool condition)
    {
        if (!condition) throw new Exception("Assertion failed");
    }

    public static string AsString(this IEnumerable<char> source) => new string(source.ToArray());

    public static void ForEach<T>(this IEnumerable<T> source, Action<T> action)
    {
        foreach (var item in source) action(item);
    }

    public static void ForEach<T, _>(this IEnumerable<T> source, Func<T, _> func)
    {
        foreach (var item in source) func(item);
    }

    public static void ForEach<T>(this IEnumerable<T> source, Action<T, int> action)
    {
        var i = 0;
        foreach (var item in source) action(item, i++);
    }

    public static void ForEach<T, _>(this IEnumerable<T> source, Func<T, int, _> func)
    {
        var i = 0;
        foreach (var item in source) func(item, i++);
    }

    public static T Iterate<T>(int count, T seed, Func<T, T> func)
    {
        var r = seed;
        for (var i = 0; i < count; i++) r = func(r);
        return r;
    }

    public static void Repeat(int count, Action action)
    {
        for (var i = 0; i < count; i++) action();
    }

    public static void Repeat(int count, Action<int> action)
    {
        for (var i = 0; i < count; i++) action(i);
    }

    public static IEnumerable<T> Repeat<T>(Func<T> func)
    {
        for (var i = 0; ; i++) yield return func();
    }

    public static IEnumerable<T> Repeat<T>(int count, Func<T> func)
    {
        for (var i = 0; i < count; i++) yield return func();
    }

    public static IEnumerable<T> Repeat<T>(Func<int, T> func)
    {
        for (var i = 0; ; i++) yield return func(i);
    }

    public static IEnumerable<T> Repeat<T>(int count, Func<int, T> func)
    {
        for (var i = 0; i < count; i++) yield return func(i);
    }

    public static void Swap<T>(ref T x, ref T y)
    {
        var tmp = x; x = y; y = tmp;
    }

    public static (T1[], T2[]) Unzip<T1, T2>(this ICollection<(T1, T2)> source)
    {
        var ts1 = new T1[source.Count];
        var ts2 = new T2[source.Count];
        var i = 0;
        foreach (var (t1, t2) in source) { ts1[i] = t1; ts2[i] = t2; i++; }
        return (ts1, ts2);
    }

    public static (T1[], T2[], T3[]) Unzip<T1, T2, T3>(this ICollection<(T1, T2, T3)> source)
    {
        var ts1 = new T1[source.Count];
        var ts2 = new T2[source.Count];
        var ts3 = new T3[source.Count];
        var i = 0;
        foreach (var (t1, t2, t3) in source) { ts1[i] = t1; ts2[i] = t2; ts3[i] = t3; i++; }
        return (ts1, ts2, ts3);
    }

    public static (T1[], T2[], T3[], T4[]) Unzip<T1, T2, T3, T4>(this ICollection<(T1, T2, T3, T4)> source)
    {
        var ts1 = new T1[source.Count];
        var ts2 = new T2[source.Count];
        var ts3 = new T3[source.Count];
        var ts4 = new T4[source.Count];
        var i = 0;
        foreach (var (t1, t2, t3, t4) in source) { ts1[i] = t1; ts2[i] = t2; ts3[i] = t3; ts4[i] = t4; i++; }
        return (ts1, ts2, ts3, ts4);
    }

    public static IEnumerable<T> Zip<T1, T2, T3, T>(this IEnumerable<T1> first, IEnumerable<T2> second, IEnumerable<T3> thrid, Func<T1, T2, T3, T> resultSelector)
    {
        using (var e1 = first.GetEnumerator())
        using (var e2 = second.GetEnumerator())
        using (var e3 = thrid.GetEnumerator())
        {
            while (e1.MoveNext() && e2.MoveNext() && e3.MoveNext())
                yield return resultSelector(e1.Current, e2.Current, e3.Current);
        }
    }

    public static IEnumerable<T> Zip<T1, T2, T3, T4, T>(this IEnumerable<T1> first, IEnumerable<T2> second, IEnumerable<T3> thrid, IEnumerable<T4> fourth, Func<T1, T2, T3, T4, T> resultSelector)
    {
        using (var e1 = first.GetEnumerator())
        using (var e2 = second.GetEnumerator())
        using (var e3 = thrid.GetEnumerator())
        using (var e4 = fourth.GetEnumerator())
        {
            while (e1.MoveNext() && e2.MoveNext() && e3.MoveNext() && e4.MoveNext())
                yield return resultSelector(e1.Current, e2.Current, e3.Current, e4.Current);
        }
    }
}

[DebuggerStepThrough]
public static class MathExtensions
{
    public static int Gcd(int left, int right)
    {
        int r;
        while ((r = left % right) != 0) { left = right; right = r; }
        return right;
    }

    public static long Gcd(long left, long right)
    {
        long r;
        while ((r = left % right) != 0L) { left = right; right = r; }
        return right;
    }

    public static BigInteger Gcd(BigInteger left, BigInteger right)
        => BigInteger.GreatestCommonDivisor(left, right);

    public static int HighestOneBit(int x)
    {
        x |= x >> 01;
        x |= x >> 02;
        x |= x >> 04;
        x |= x >> 08;
        x |= x >> 16;
        return x - (x >> 1);
    }

    public static long HighestOneBit(long x)
    {
        x |= x >> 01;
        x |= x >> 02;
        x |= x >> 04;
        x |= x >> 08;
        x |= x >> 16;
        x |= x >> 32;
        return x - (x >> 1);
    }

    public static int Lcm(int left, int right) => left / Gcd(left, right) * right;

    public static long Lcm(long left, long right) => left / Gcd(left, right) * right;

    public static BigInteger Lcm(BigInteger left, BigInteger right)
        => left / Gcd(left, right) * right;

    public static int Pow(int value, int exponent)
    {
        var r = 1;
        while (exponent > 0)
        {
            if ((exponent & 1) == 1) r *= value;
            value *= value;
            exponent >>= 1;
        }
        return r;
    }

    public static long Pow(long value, int exponent)
    {
        var r = 1L;
        while (exponent > 0)
        {
            if ((exponent & 1) == 1) r *= value;
            value *= value;
            exponent >>= 1;
        }
        return r;
    }

    public static long Fact(int value)
    {
        var r = 1L;
        for (var i = 2; i <= value; i++) r *= i;
        return r;
    }
}
#endregion
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