結果

問題 No.93 ペガサス
ユーザー AreTrash
提出日時 2019-02-07 18:05:45
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 622 ms / 5,000 ms
コード長 3,454 bytes
コンパイル時間 1,947 ms
コンパイル使用メモリ 113,784 KB
実行使用メモリ 36,096 KB
最終ジャッジ日時 2024-06-25 06:54:11
合計ジャッジ時間 6,117 ms
ジャッジサーバーID
(参考情報)
judge4 / judge5
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 * 4
other AC * 16
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 #
プレゼンテーションモードにする

using System;
namespace No93
{
public class Program
{
static void Main()
{
var N = int.Parse(Console.ReadLine());
var dp = new ModInt[N + 2, N + 2, 2, 2];
dp[1, 0, 0, 0] = 1;
dp[2, 0, 0, 0] = 2;
for (var n = 3; n <= N; n++)
for (var k = 0; k <= n - 2; k++)
{
dp[n, k + 1, 1, 0] += dp[n - 1, k, 0, 0] * 2;
dp[n, k + 1, 1, 0] += dp[n - 1, k, 0, 1] * 1;
dp[n, k + 1, 1, 1] += dp[n - 1, k, 1, 0] * 2;
dp[n, k + 1, 1, 1] += dp[n - 1, k, 1, 1] * 1;
dp[n, k, 0, 0] += dp[n - 1, k, 0, 0] * (n - k - 2);
dp[n, k, 0, 0] += dp[n - 1, k, 0, 1] * (n - k - 1);
dp[n, k, 0, 1] += dp[n - 1, k, 1, 0] * (n - k - 2);
dp[n, k, 0, 1] += dp[n - 1, k, 1, 1] * (n - k - 1);
dp[n, k, 1, 0] += dp[n - 1, k, 0, 1] * 1;
dp[n, k, 1, 1] += dp[n - 1, k, 1, 1] * 1;
if (k <= 0) continue;
dp[n, k - 1, 0, 0] += dp[n - 1, k, 0, 0] * k;
dp[n, k - 1, 0, 0] += dp[n - 1, k, 1, 0] * 1;
dp[n, k - 1, 0, 0] += dp[n - 1, k, 0, 1] * (k - 1);
dp[n, k - 1, 0, 0] += dp[n - 1, k, 1, 1] * 1;
dp[n, k - 1, 0, 1] += dp[n - 1, k, 1, 0] * (k - 1);
dp[n, k - 1, 0, 1] += dp[n - 1, k, 1, 1] * (k - 2);
}
Console.WriteLine(dp[N, 0, 0, 0]);
}
}
public struct ModInt
{
public static int Mod = 1000000007;
readonly long value;
public int Value { get { return (int)value; } }
public ModInt Inverse { get { return GetInverse(); } }
public ModInt(long value)
{
value %= Mod;
this.value = value < 0 ? value + Mod : value;
}
ModInt GetInverse()
{
if (value == 0) throw new InvalidOperationException("value must NOT equal 0");
return Pow(Mod - 2);
}
public ModInt Square()
{
return this * this;
}
public ModInt Pow(long exp)
{
if (exp == 0) return 1;
if (exp % 2 == 0) return Pow(exp / 2).Square();
return this * Pow(exp - 1);
}
public static ModInt Parse(string str)
{
return long.Parse(str);
}
public static implicit operator ModInt(long value)
{
return new ModInt(value);
}
public static ModInt operator +(ModInt left, ModInt right)
{
return left.value + right.value;
}
public static ModInt operator -(ModInt left, ModInt right)
{
return left.value - right.value;
}
public static ModInt operator *(ModInt left, ModInt right)
{
return left.value * right.value;
}
public static ModInt operator /(ModInt left, ModInt right)
{
return left * right.Inverse;
}
public override bool Equals(object obj)
{
if (!(obj is ModInt)) return false;
return value == ((ModInt)obj).value;
}
public override int GetHashCode()
{
return value.GetHashCode();
}
public override string ToString()
{
return value.ToString();
}
}
}
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