結果

問題 No.140 みんなで旅行
ユーザー 紙ぺーぱー紙ぺーぱー
提出日時 2015-06-09 19:31:46
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 192 ms / 5,000 ms
コード長 6,961 bytes
コンパイル時間 1,011 ms
コンパイル使用メモリ 111,232 KB
実行使用メモリ 28,800 KB
最終ジャッジ日時 2024-07-06 15:13:14
合計ジャッジ時間 4,998 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
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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 122 ms
28,800 KB
testcase_01 AC 122 ms
28,544 KB
testcase_02 AC 124 ms
28,544 KB
testcase_03 AC 121 ms
28,672 KB
testcase_04 AC 121 ms
28,544 KB
testcase_05 AC 121 ms
28,544 KB
testcase_06 AC 123 ms
28,544 KB
testcase_07 AC 122 ms
28,416 KB
testcase_08 AC 121 ms
28,800 KB
testcase_09 AC 121 ms
28,544 KB
testcase_10 AC 121 ms
28,672 KB
testcase_11 AC 191 ms
28,672 KB
testcase_12 AC 125 ms
28,544 KB
testcase_13 AC 124 ms
28,544 KB
testcase_14 AC 192 ms
28,672 KB
testcase_15 AC 191 ms
28,672 KB
testcase_16 AC 148 ms
28,544 KB
testcase_17 AC 132 ms
28,544 KB
testcase_18 AC 176 ms
28,672 KB
testcase_19 AC 182 ms
28,544 KB
testcase_20 AC 131 ms
28,800 KB
testcase_21 AC 123 ms
28,544 KB
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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.Linq;
using System.Collections.Generic;
using Debug = System.Diagnostics.Debug;
using StringBuilder = System.Text.StringBuilder;
using System.Numerics;
//using System.Threading.Tasks;
namespace Program
{

    public class Solver
    {
        public void Solve()
        {
            var n = sc.Integer();
            ModInteger ans = 0;
            var table = new ModCombinationTable(1000);
            var dp = new ModInteger[1000, 1000];
            dp[0, 0] = 1;
            for (int i = 0; i < 999; i++)
                for (int j = 0; j < 999; j++)
                {
                    dp[i + 1, j + 1] += dp[i, j];
                    dp[i + 1, j] += j * dp[i, j];
                }
            for (int i = 1; i <= n; i++)
            {
                for (int j = i; j <= n; j++)
                {
                    var C = table[n, j];
                    ans += C * dp[j, i] * ModInteger.Pow(i * (i - 1), n - j);
                }
            }
            IO.Printer.Out.WriteLine(ans);
        }
        public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput());
        static T[] Enumerate<T>(int n, Func<int, T> f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; }
        static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
    }
}
#region main
static class Ex
{
    static public string AsString(this IEnumerable<char> ie) { return new string(System.Linq.Enumerable.ToArray(ie)); }
    static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") { return string.Join(st, ie); }
    static public void Main()
    {
        var solver = new Program.Solver();
        solver.Solve();
        Program.IO.Printer.Out.Flush();
    }
}
#endregion
#region Ex
namespace Program.IO
{
    using System.IO;
    using System.Text;
    using System.Globalization;
    public class Printer : StreamWriter
    {
        static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; }
        public static Printer Out { get; set; }
        public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } }
        public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { }
        public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { }
        public void Write<T>(string format, T[] source) { base.Write(format, source.OfType<object>().ToArray()); }
        public void WriteLine<T>(string format, T[] source) { base.WriteLine(format, source.OfType<object>().ToArray()); }
    }
    public class StreamScanner
    {
        public StreamScanner(Stream stream) { str = stream; }
        public readonly Stream str;
        private readonly byte[] buf = new byte[1024];
        private int len, ptr;
        public bool isEof = false;
        public bool IsEndOfStream { get { return isEof; } }
        private byte read()
        {
            if (isEof) return 0;
            if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } }
            return buf[ptr++];
        }
        public char Char() { byte b = 0; do b = read(); while ((b < 33 || 126 < b) && !isEof); return (char)b; }

        public string Scan()
        {
            var sb = new StringBuilder();
            for (var b = Char(); b >= 33 && b <= 126; b = (char)read())
                sb.Append(b);
            return sb.ToString();
        }
        public string ScanLine()
        {
            var sb = new StringBuilder();
            for (var b = Char(); b != '\n'; b = (char)read())
                if (b == 0) break;
                else if (b != '\r') sb.Append(b);
            return sb.ToString();
        }
        public long Long()
        {
            if (isEof) return long.MinValue;
            long ret = 0; byte b = 0; var ng = false;
            do b = read();
            while (b != '-' && (b < '0' || '9' < b));
            if (b == '-') { ng = true; b = read(); }
            for (; true; b = read())
            {
                if (b < '0' || '9' < b)
                    return ng ? -ret : ret;
                else ret = ret * 10 + b - '0';
            }
        }
        public int Integer() { return (isEof) ? int.MinValue : (int)Long(); }
        public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); }
        private T[] enumerate<T>(int n, Func<T> f)
        {
            var a = new T[n];
            for (int i = 0; i < n; ++i) a[i] = f();
            return a;
        }

        public char[] Char(int n) { return enumerate(n, Char); }
        public string[] Scan(int n) { return enumerate(n, Scan); }
        public double[] Double(int n) { return enumerate(n, Double); }
        public int[] Integer(int n) { return enumerate(n, Integer); }
        public long[] Long(int n) { return enumerate(n, Long); }
    }
}
#endregion
#region ModNumber
public partial struct ModInteger
{
    public const long Mod = (long)1e9 + 7;
    public long num;
    public ModInteger(long n) : this() { num = n % Mod; }
    public override string ToString() { return num.ToString(); }
    public static ModInteger operator +(ModInteger l, ModInteger r) { var n = l.num + r.num; if (n >= Mod)n -= Mod; return new ModInteger(n); }
    public static ModInteger operator -(ModInteger l, ModInteger r) { var n = l.num - r.num; if (n < 0)n += Mod; return new ModInteger(n); }
    public static ModInteger operator *(ModInteger l, ModInteger r) { return new ModInteger((l.num * r.num) % Mod); }
    public static implicit operator ModInteger(long n) { return new ModInteger(n); }
}
#endregion
#region CombinationTable
public class ModCombinationTable
{
    ModInteger[][] nCr;
    public ModCombinationTable(int n)
    {
        nCr = new ModInteger[n + 1][];
        for (int i = 0; i <= n; i++)
            nCr[i] = new ModInteger[i + 2];
        nCr[0][0] = 1;
        for (int i = 0; i <= n; i++)
        {
            nCr[i][0] = 1;
            for (int j = 1; j <= i; j++)
                nCr[i][j] = nCr[i - 1][j - 1] + nCr[i - 1][j];
        }
    }
    public ModInteger this[int n, int r]
    {
        get
        {
            if (n < 0 || n > nCr.Length)
                throw new IndexOutOfRangeException("n<=0 || n>N ");
            if (r < 0 || r > n)
                throw new IndexOutOfRangeException("r<=0 ||r>n");
            return nCr[n][r];
        }
    }
    public ModInteger RepeatedCombination(int n, int k)
    {
        if (k == 0) return 1;
        return this[n + k - 1, k];
    }
}
#endregion
#region ModPow
public partial struct ModInteger
{
    static public ModInteger Pow(ModInteger v, ModInteger k)
    {
        ModInteger ret = 1;
        var n = k.num;
        for (; n > 0; n >>= 1, v *= v)
        {
            if ((n & 1) == 1)
                ret = ret * v;
        }
        return ret;
    }
}
#endregion
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