結果

問題 No.1105 Many Triplets
ユーザー eSeFeSeF
提出日時 2020-07-04 15:15:17
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 32 ms / 2,000 ms
コード長 8,902 bytes
コンパイル時間 4,347 ms
コンパイル使用メモリ 113,792 KB
実行使用メモリ 19,712 KB
最終ジャッジ日時 2024-09-19 02:40:09
合計ジャッジ時間 3,107 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge2
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 30 ms
19,200 KB
testcase_01 AC 30 ms
19,456 KB
testcase_02 AC 30 ms
19,328 KB
testcase_03 AC 31 ms
19,584 KB
testcase_04 AC 31 ms
19,200 KB
testcase_05 AC 30 ms
19,456 KB
testcase_06 AC 30 ms
19,328 KB
testcase_07 AC 31 ms
19,584 KB
testcase_08 AC 31 ms
19,328 KB
testcase_09 AC 31 ms
19,456 KB
testcase_10 AC 31 ms
19,328 KB
testcase_11 AC 31 ms
19,584 KB
testcase_12 AC 31 ms
19,456 KB
testcase_13 AC 31 ms
19,584 KB
testcase_14 AC 31 ms
19,712 KB
testcase_15 AC 31 ms
19,328 KB
testcase_16 AC 30 ms
19,584 KB
testcase_17 AC 32 ms
19,584 KB
testcase_18 AC 32 ms
19,456 KB
testcase_19 AC 31 ms
19,456 KB
testcase_20 AC 30 ms
19,200 KB
testcase_21 AC 30 ms
19,328 KB
testcase_22 AC 30 ms
19,456 KB
testcase_23 AC 30 ms
19,328 KB
testcase_24 AC 30 ms
19,584 KB
testcase_25 AC 31 ms
19,456 KB
testcase_26 AC 30 ms
19,584 KB
testcase_27 AC 31 ms
19,456 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.Collections.Generic;
using System.Linq;
using System.IO;
using System.Text;
using System.Numerics;
using System.Threading;
using System.Runtime.CompilerServices;
using static System.Math;
using static System.Array;
using static AtCoder.Sc_out;
using static AtCoder.Tool;
using static AtCoder.ModInt;
namespace AtCoder
{
    class AC
    {
        const int MOD = 1000000007;
        //const int MOD = 998244353;

        const int INF = int.MaxValue / 2;
        const long SINF = long.MaxValue / 2;
        const double EPS = 1e-8;
        static readonly int[] dI = { 0, 1, 0, -1, 1, -1, -1, 1 };
        static readonly int[] dJ = { 1, 0, -1, 0, 1, 1, -1, -1 };
        //static List<List<int>> G = new List<List<int>>();
        //static List<List<Edge>> G = new List<List<Edge>>();
        //static List<Edge> E = new List<Edge>();
        static void Main(string[] args)
        {
            var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }; Console.SetOut(sw);

            var th = new Thread(Run, 1 << 26);
            th.Start();
            th.Join();

            //Run();
            Console.Out.Flush();
        }

        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static void Run()
        {
            int Testcase = 1;
            for (var _ = 0; _ < Testcase; _++) Solve();
        }
        static void Solve()
        {
            var N = Cin.Long;
            Cin.Input(out long A, out long B, out long C);
            var coef = new long[3][];
            coef[0] = new long[] { 1, -1, 0 };
            coef[1] = new long[] { 0, 1, -1 };
            coef[2] = new long[] { -1, 0, 1 };
            var K = MatPow(coef, N - 1);
            long[] ans = { 0, 0, 0 };
            ans[0] = (K[0][0] * A) % MOD + (K[0][1] * B) % MOD + (K[0][2] * C) % MOD;
            ans[0] = (ans[0] % MOD + MOD) % MOD;

            ans[1] = K[1][0] * A % MOD + K[1][1] * B % MOD + K[1][2] * C % MOD;
            ans[1] = (ans[1] % MOD + MOD) % MOD;

            ans[2] = K[2][0] * A % MOD + K[2][1] * B % MOD + K[2][2] * C % MOD;
            ans[2] = (ans[2] % MOD + MOD) % MOD;
            
            Out_Sep(ans);
            
        }
        static long[][] MatMul(long[][] A, long[][] B, int size)
        {
            var ret = new long[size][];
            for (var i = 0; i < size; i++)
            {
                ret[i] = new long[size];
                for (var j = 0; j < size; j++)
                {
                    ret[i][j] = 0;
                    for (var k = 0; k < size; k++)
                    {
                        ret[i][j] += (A[i][k] * B[k][j]);
                        ret[i][j] %= MOD;
                    }
                }
            }
            return ret;
        }
        static long[][] MatPow(long[][] A, long n)
        {
            int size = A.Length;
            var B = new long[size][];
            for (var i = 0; i < size; i++)
            {
                B[i] = new long[size];
                B[i][i] = 1;
            }
            while (n > 0)
            {
                if ((n & 1) != 0) B = MatMul(A, B, size);
                A = MatMul(A, A, size);
                n >>= 1;
            }
            return B;
        }
        public struct Edge
        {
            public int from;

            public int to;
            public long dist;

            public Edge(int t, long c)
            {
                from = -1;
                to = t;
                dist = c;
            }
            public Edge(int f, int t, long c)
            {
                from = f;
                to = t;
                dist = c;
            }
        }
    }
    struct ModInt
    {
        public long value;
        private const int MOD = 1000000007;
        //private const int MOD = 998244353;
        public ModInt(long value) { this.value = value; }
        public static implicit operator ModInt(long a)
        {
            var ret = a % MOD;
            return new ModInt(ret < 0 ? (ret + MOD) : ret);
        }
        public static ModInt operator +(ModInt a, ModInt b) => (a.value + b.value);
        public static ModInt operator -(ModInt a, ModInt b) => (a.value - b.value);
        public static ModInt operator *(ModInt a, ModInt b) => (a.value * b.value);
        public static ModInt operator /(ModInt a, ModInt b) => a * Modpow(b, MOD - 2);
        public static ModInt operator <<(ModInt a, int n) => (a.value << n);
        public static ModInt operator >>(ModInt a, int n) => (a.value >> n);
        public static ModInt operator ++(ModInt a) => a.value + 1;
        public static ModInt operator --(ModInt a) => a.value - 1;
        public static ModInt Modpow(ModInt a, long n)
        {
            var k = a;
            ModInt ret = 1;
            while (n > 0)
            {
                if ((n & 1) != 0) ret *= k;
                k *= k;
                n >>= 1;
            }
            return ret;
        }
        private static readonly List<long> Factorials = new List<long>() { 1 };
        public static ModInt Fac(long n)
        {
            for (var i = Factorials.Count(); i <= n; i++)
            {
                Factorials.Add((Factorials[i - 1] * i) % MOD);
            }
            return Factorials[(int)n];
        }
        public static ModInt nCr(long n, long r)
        {
            return n < r ? 0 : Fac(n) / (Fac(r) * Fac(n - r));
        }
        public static explicit operator int(ModInt a) => (int)a.value;
    }
    static class Cin
    {
        public static string[] ReadSplit => Console.ReadLine().Split();
        public static int[] ReadSplitInt => ConvertAll(Console.ReadLine().Split(), int.Parse);
        public static long[] ReadSplitLong => ConvertAll(Console.ReadLine().Split(), long.Parse);
        public static double[] ReadSplit_Double => ConvertAll(Console.ReadLine().Split(), double.Parse);
        public static string Str => Console.ReadLine();
        public static int Int => int.Parse(Console.ReadLine());
        public static long Long => long.Parse(Console.ReadLine());
        public static double Double => double.Parse(Console.ReadLine());
        public static T Conv<T>(string input)
        {
            if (typeof(T).Equals(typeof(ModInt)))
            {
                return (T)(dynamic)(long.Parse(input));
            }
            return (T)Convert.ChangeType(input, typeof(T));
        }
        public static void Input<T>(out T a) => a = Conv<T>(Console.ReadLine());
        public static void Input<T, U>(out T a, out U b)
        { var q = ReadSplit; a = Conv<T>(q[0]); b = Conv<U>(q[1]); }
        public static void Input<T, U, V>(out T a, out U b, out V c)
        { var q = ReadSplit; a = Conv<T>(q[0]); b = Conv<U>(q[1]); c = Conv<V>(q[2]); }
        public static void Input<T, U, V, W>(out T a, out U b, out V c, out W d)
        { var q = ReadSplit; a = Conv<T>(q[0]); b = Conv<U>(q[1]); c = Conv<V>(q[2]); d = Conv<W>(q[3]); }
        public static void Input<T, U, V, W, X>(out T a, out U b, out V c, out W d, out X e)
        { var q = ReadSplit; a = Conv<T>(q[0]); b = Conv<U>(q[1]); c = Conv<V>(q[2]); d = Conv<W>(q[3]); e = Conv<X>(q[4]); }
    }
    static class Sc_out
    {
        public static void OutL(object s) => Console.WriteLine(s);
        public static void Out_Sep<T>(IEnumerable<T> s) => Console.WriteLine(string.Join(" ", s));
        public static void Out_Sep<T>(IEnumerable<T> s, string sep) => Console.WriteLine(string.Join($"{sep}", s));
        public static void Out_Sep(params object[] s) => Console.WriteLine(string.Join(" ", s));
        public static void Out_One(object s) => Console.Write($"{s} ");
        public static void Out_One(object s, string sep) => Console.Write($"{s}{sep}");
        public static void Endl() => Console.WriteLine();
    }
    public static class Tool
    {
        static public void Initialize<T>(ref T[] array, T initialvalue)
        {
            array = ConvertAll(array, x => initialvalue);
        }
        static public void Swap<T>(ref T a, ref T b)
        {
            T keep = a;
            a = b;
            b = keep;
        }
        static public void Display<T>(T[,] array2d, int n, int m)
        {
            for (var i = 0; i < n; i++)
            {
                for (var j = 0; j < m; j++)
                {
                    Console.Write($"{array2d[i, j]} ");
                }
                Console.WriteLine();
            }
        }
        static public long Gcd(long a, long b)
        {
            if (a == 0 || b == 0) return Max(a, b);
            return a % b == 0 ? b : Gcd(b, a % b);
        }
        static public long LPow(int a, int b) => (long)Pow(a, b);
        static public bool Bit(long x, int dig) => ((1L << dig) & x) != 0;
        static public int Sig(long a) => a == 0 ? 0 : (int)(a / Abs(a));
    }
}
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