結果

問題 No.1073 無限すごろく
ユーザー fairy_lettucefairy_lettuce
提出日時 2020-06-05 23:02:18
言語 C#(csc)
(csc 3.9.0)
結果
MLE  
実行時間 -
コード長 6,803 bytes
コンパイル時間 1,883 ms
コンパイル使用メモリ 110,080 KB
実行使用メモリ 514,912 KB
最終ジャッジ日時 2024-05-09 22:54:03
合計ジャッジ時間 6,299 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge3
このコードへのチャレンジ
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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 28 ms
23,552 KB
testcase_01 AC 28 ms
18,048 KB
testcase_02 AC 33 ms
17,940 KB
testcase_03 AC 28 ms
17,920 KB
testcase_04 AC 28 ms
17,792 KB
testcase_05 AC 28 ms
18,048 KB
testcase_06 AC 28 ms
17,920 KB
testcase_07 AC 27 ms
18,176 KB
testcase_08 AC 27 ms
17,920 KB
testcase_09 AC 28 ms
17,792 KB
testcase_10 AC 28 ms
17,920 KB
testcase_11 AC 28 ms
17,920 KB
testcase_12 AC 28 ms
17,920 KB
testcase_13 AC 48 ms
20,864 KB
testcase_14 AC 50 ms
20,992 KB
testcase_15 AC 57 ms
23,552 KB
testcase_16 AC 76 ms
24,960 KB
testcase_17 AC 77 ms
24,960 KB
testcase_18 AC 76 ms
24,960 KB
testcase_19 AC 89 ms
30,336 KB
testcase_20 AC 98 ms
30,848 KB
testcase_21 AC 114 ms
32,256 KB
testcase_22 AC 115 ms
32,256 KB
testcase_23 MLE -
testcase_24 -- -
testcase_25 -- -
testcase_26 -- -
testcase_27 -- -
testcase_28 -- -
testcase_29 -- -
testcase_30 -- -
testcase_31 -- -
testcase_32 -- -
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.IO;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace AtCoder.Contest.D
{
	static class Program
	{
		public static void Main(string[] args)
		{
			var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
			Console.SetOut(sw);

			var cin = new Scanner();

			long n = cin.NextLong();
			var p = new List<ModInt>();
			p.Add(1);
			ModInt inv = ModInt.Inverse(6);
			var vec = new Matrix(6, 1);
			var t = new Matrix(6, 6);
			vec[0, 0] = 1;
			vec[1, 0] = 166666668;
			vec[2, 0] = 194444446;
			vec[3, 0] = 893518525;
			vec[4, 0] = 209104940;
			vec[5, 0] = 577289099;
            for (int i = 0; i < 6; i++)
            {
                for (int j = 0; j < 6; j++)
                {
					if(i != 5)
                    {
						if (i == j - 1) t[i, j] = 1;
						else t[i, j] = 0;
                    }
                    else
                    {
						t[i, j] = inv;
                    }
                }
            }
            if (n < 6) Console.WriteLine(vec[(int)n, 0]);
            else
            {
				var ans = Matrix.Pow(t, n - 5) * vec;
				Console.WriteLine(ans[5, 0]);
			}

			var aa = new List<ModInt>();
            for (int i = 0; i < 6; i++)
            {
				aa.Add(vec[i, 0]);
            }
            for (int i = 6; i <= n; i++)
            {
				aa.Add((aa[i - 1] + aa[i - 2] + aa[i - 3] + aa[i - 4] + aa[i - 5] + aa[i - 6]) * inv);
            }

			Console.Out.Flush();
		}
	}

    public class Matrix
	{
		int row, col;
		public ModInt[] mat;
		/// <summary>
		/// <paramref name="r"/> 行 <paramref name="c"/> 列目の要素へのアクセスを提供します。
		/// </summary>
		/// <param name="r">行の番号</param>
		/// <param name="c">列の番号</param>
		public ModInt this[int r, int c]
		{
			get { return mat[r * col + c]; }
			set { mat[r * col + c] = value; }
		}
		public Matrix(int r, int c)
		{
			row = r; col = c;
			mat = new ModInt[row * col];
		}
		public static Matrix operator *(Matrix l, Matrix r)
		{
			System.Diagnostics.Debug.Assert(l.col == r.row);
			var ret = new Matrix(l.row, r.col);
			for (int i = 0; i < l.row; i++)
				for (int k = 0; k < l.col; k++)
					for (int j = 0; j < r.col; j++)
						ret.mat[i * r.col + j] = (ret.mat[i * r.col + j] + l.mat[i * l.col + k] * r.mat[k * r.col + j]);
			return ret;
		}
		/// <summary>
		/// <paramref name="m"/>^<paramref name="n"/> を O(<paramref name="m"/>^3 log <paramref name="n"/>) で計算します。
		/// </summary>
		public static Matrix Pow(Matrix m, long n)
		{
			var ret = new Matrix(m.row, m.col);
			for (int i = 0; i < m.row; i++)
				ret.mat[i * m.col + i] = 1;
			for (; n > 0; m *= m, n >>= 1)
				if ((n & 1) == 1)
					ret = ret * m;
			return ret;

		}
		public ModInt[][] Items
		{
			get
			{
				var a = new ModInt[row][];
				for (int i = 0; i < row; i++)
				{
					a[i] = new ModInt[col];
					for (int j = 0; j < col; j++)
						a[i][j] = mat[i * col + j];
				}
				return a;
			}
		}
	}

	public struct ModInt : IComparable<ModInt>, IEquatable<ModInt>
	{
		public static long MOD = 1000000007;

		private readonly long num;

		public ModInt(long n) { num = n; }

		public override string ToString() => num.ToString();

		public static ModInt operator +(ModInt l, ModInt r)
		{
			long x = l.num + r.num;
			if (x >= MOD) x -= MOD;
			return new ModInt(x);
		}
		public static ModInt operator -(ModInt l, ModInt r)
		{
			long x = l.num - r.num;
			if (x < 0) x += MOD;
			return new ModInt(x);
		}
		public static ModInt operator *(ModInt l, ModInt r) => new ModInt((l.num * r.num) % MOD);
		public static ModInt operator /(ModInt l, ModInt r) => l * r.Inverse();

		public static ModInt operator ++(ModInt x)
		{
			var tmp = x + new ModInt(1);
			return tmp;
		}
		public static ModInt operator --(ModInt x)
		{
			var tmp = x - new ModInt(1);
			return tmp;
		}

		public static bool operator >(ModInt l, ModInt r) => l.CompareTo(r) > 0;
		public static bool operator <(ModInt l, ModInt r) => l.CompareTo(r) < 0;
		public static bool operator >=(ModInt l, ModInt r) => l.CompareTo(r) >= 0;
		public static bool operator <=(ModInt l, ModInt r) => l.CompareTo(r) <= 0;
		public static bool operator ==(ModInt l, ModInt r) => l.Equals(r);
		public static bool operator !=(ModInt l, ModInt r) => !l.Equals(r);

		public static implicit operator long(ModInt x) => x.num;
		public static implicit operator ModInt(long n)
		{
			n %= MOD;
			if (n < 0) n += MOD;
			return new ModInt(n);
		}

		public ModInt Inverse() => Inverse(this, MOD);
		public static ModInt Inverse(ModInt x) => Inverse(x.num, MOD);
		public static long Inverse(long x, long m)
		{
			if (x % m == 0) throw new DivideByZeroException();
			long a = x, b = m, u = 1, v = 0;
			while (b > 0)
			{
				long t = a / b;

				a -= t * b;
				long p = a; a = b; b = p;   // swap(a, b);

				u -= t * v;
				p = u; u = v; v = p;        // swap(u, v);
			}
			u %= m;
			if (u < 0) u += m;
			return u;
		}

		public static ModInt Pow(ModInt x, long n) => Pow(x.num, n);
		public static ModInt Pow(long x, long n)
		{
			if (n == 0) return x;
			long now = 1;
			for (n %= MOD - 1; n > 0; n /= 2, x = x * x % MOD)
			{
				if (n % 2 == 1) now = now * x % MOD;
			}
			return new ModInt(now);
		}

		public int CompareTo(ModInt x)
		{
			if (num == x.num) return 0;
			if (num > x.num) return 1;
			return -1;
		}

		public bool Equals(ModInt x) => num == x.num;

		public override bool Equals(object obj) => obj is ModInt m && num == m.num;

		public override int GetHashCode()
		{
			return HashCode.Combine(num);
		}

	}

	class Scanner
	{
		string[] s;
		int i;

		char[] cs = new char[] { ' ' };

		public Scanner()
		{
			s = new string[0];
			i = 0;
		}

		public string Next()
		{
			if (i < s.Length) return s[i++];
			string st = Console.ReadLine();
			while (st == "") st = Console.ReadLine();
			s = st.Split(cs, StringSplitOptions.RemoveEmptyEntries);
			if (s.Length == 0) return Next();
			i = 0;
			return s[i++];
		}

		public int NextInt()
		{
			return int.Parse(Next());
		}

		public int[] ArrayInt(int N, int add = 0)
		{
			int[] Array = new int[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = NextInt() + add;
			}
			return Array;
		}

		public long NextLong()
		{
			return long.Parse(Next());
		}

		public long[] ArrayLong(int N, long add = 0)
		{
			long[] Array = new long[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = NextLong() + add;
			}
			return Array;
		}

		public double NextDouble()
		{
			return double.Parse(Next());
		}

		public double[] ArrayDouble(int N, double add = 0)
		{
			double[] Array = new double[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = NextDouble() + add;
			}
			return Array;
		}
	}
}
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