結果

問題 No.997 Jumping Kangaroo
ユーザー eSeFeSeF
提出日時 2020-02-21 22:59:17
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 26 ms / 2,000 ms
コード長 7,098 bytes
コンパイル時間 977 ms
コンパイル使用メモリ 116,708 KB
実行使用メモリ 18,176 KB
最終ジャッジ日時 2024-04-17 08:05:45
合計ジャッジ時間 2,563 ms
ジャッジサーバーID
(参考情報)
judge4 / judge1
このコードへのチャレンジ(β)

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 26 ms
17,792 KB
testcase_01 AC 26 ms
17,664 KB
testcase_02 AC 26 ms
18,048 KB
testcase_03 AC 26 ms
17,792 KB
testcase_04 AC 26 ms
17,920 KB
testcase_05 AC 26 ms
17,792 KB
testcase_06 AC 25 ms
17,920 KB
testcase_07 AC 25 ms
18,048 KB
testcase_08 AC 26 ms
18,048 KB
testcase_09 AC 24 ms
17,920 KB
testcase_10 AC 25 ms
17,536 KB
testcase_11 AC 25 ms
17,664 KB
testcase_12 AC 25 ms
17,920 KB
testcase_13 AC 25 ms
17,792 KB
testcase_14 AC 25 ms
17,792 KB
testcase_15 AC 25 ms
17,920 KB
testcase_16 AC 25 ms
17,920 KB
testcase_17 AC 24 ms
18,048 KB
testcase_18 AC 25 ms
17,920 KB
testcase_19 AC 26 ms
18,048 KB
testcase_20 AC 26 ms
18,048 KB
testcase_21 AC 25 ms
18,176 KB
testcase_22 AC 25 ms
17,920 KB
testcase_23 AC 26 ms
17,664 KB
testcase_24 AC 25 ms
17,536 KB
testcase_25 AC 25 ms
17,920 KB
testcase_26 AC 25 ms
17,792 KB
testcase_27 AC 25 ms
18,048 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.Generic;
using System.Linq;
using System.IO;
using System.Text;
using static System.Math;
using static System.Array;
using static AtCoder.Tool;
using static AtCoder.CalcL;
namespace AtCoder
{
    class AC
    {
        const long 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 };
        static readonly int[] dJ = { 1, 0, -1, 0 };
        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 cin = new Scanner();

            var input = cin.ReadSplitLong();
            var N = input[0];
            var W = input[1];
            var K = input[2];
            var A = cin.ReadSplitInt();
            var dp = new long[2 * W + 1];
            dp[0] = 1;
            for(var i = 0; i <= 2 * W - 1; i++)
            {
                for(var j = 0; j < N; j++)
                {
                    if (i + A[j] <= 2 * W)
                    {
                        dp[i + A[j]] += dp[i];
                        dp[i + A[j]] %= MOD;
                    }
                }
            }
            //Console.WriteLine(string.Join(",", dp));
            var a = dp[W];
            var b = (dp[2 * W] - (a * a) % MOD + MOD) % MOD;
            //Console.WriteLine($"{a} {b}");

            if (K == 1)
            {
                Console.WriteLine(dp[W]);return;
            }
            var R = new long[2][];
            R[0] = new long[2];
            R[1] = new long[2];
            R[0][0] = a;R[0][1] = b;
            R[1][0] = 1;R[1][1] = 0;

            R = MutPow(R, K - 1);
            long ans = 0;
            ans += (dp[W] % MOD) * R[0][0] % MOD;
            ans %= MOD;
            ans += R[0][1];
            ans %= MOD;
            Console.WriteLine(ans);

            //Console.Out.Flush();
        }
        static long[][] MutMul(long[][] A, long[][] B)
        {
            var ret = new long[2][];
            for(var i = 0; i < 2; i++)
            {
                ret[i] = new long[2];
                for(var j = 0; j < 2; j++)
                {
                    ret[i][j] = 0;
                    for(var k = 0; k < 2; k++)
                    {
                        ret[i][j] += (A[i][k] * B[k][j]);
                        ret[i][j] %= MOD;
                    }
                }
            }
            return ret;
        }
        static long[][]MutPow(long[][]A,long n)
        {
            var B = new long[2][];
            B[0] = new long[2];
            B[1] = new long[2];
            B[0][0] = B[1][1] = 1;
            while (n > 0)
            {
                if ((n & 1) != 0) B = MutMul(A, B);
                A = MutMul(A, A);
                n >>= 1;
            }
            return B;
        }
        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;
            }

        }
    }
    public class Scanner
    {
        public int[] ReadSplitInt()
        {
            return ConvertAll(Console.ReadLine().Split(), int.Parse);
        }
        public long[] ReadSplitLong()
        {
            return ConvertAll(Console.ReadLine().Split(), long.Parse);
        }
        public double[] ReadSplit_Double()
        {
            return ConvertAll(Console.ReadLine().Split(), double.Parse);
        }
    }
    public static class Tool
    {
        static public void Initialize<T>(ref T[] array, T initialvalue)
        {
            for (var i = 0; i < array.Length; i++)
            {
                array[i] = 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 LPow(int a, int b)
        {
            return (long)Pow(a, b);
        }
    }
    static public class CalcI
    {
        public static int Gcd(int a, int b)
        {
            if (a * b == 0) { return Max(a, b); }
            return a % b == 0 ? b : Gcd(b, a % b);
        }
        public static int Lcm(int a, int b)
        {
            int g = Gcd(a, b);
            return a / g * b;
        }
        public static int Ceil(int n, int div)
        {
            return (n + div - 1) / div;
        }
    }
    static public class CalcL
    {
        public static long Gcd(long a, long b)
        {
            if (a * b == 0) { return Max(a, b); }
            return a % b == 0 ? b : Gcd(b, a % b);
        }
        public static long Lcm(long a, long b)
        {
            long g = Gcd(a, b);
            return a / g * b;
        }
        public static long Ceil(long n, long div)
        {
            return (n + div - 1) / div;
        }
    }
    class Modulo
    {
        private const long M = 1000000007;
        //private const int M = 998244353;
        private readonly long[] m_facs;
        public long Mul(long a, long b)
        {
            return ((a * b) % M);
        }
        public Modulo(long n)
        {
            m_facs = new long[n + 1];
            m_facs[0] = 1;
            for (long i = 1; i <= n; ++i)
            {
                m_facs[i] = Mul(m_facs[i - 1], i);
            }
        }
        public long Fac(long n)
        {
            return m_facs[n];
        }
        public long Pow(long a, long m)
        {
            switch (m)
            {
                case 0:
                    return 1L;
                case 1:
                    return a;
                default:
                    long p1 = Pow(a, m / 2);
                    long p2 = Mul(p1, p1);
                    return ((m % 2) == 0) ? p2 : Mul(p2, a);
            }
        }
        public long Div(long a, long b)
        {
            return Mul(a, Pow(b, M - 2));
        }
        public long Ncr(long n, long r)
        {
            if (n < r) { return 0; }
            if (n == r) { return 1; }
            long res = Fac(n);
            res = Div(res, Fac(r));
            res = Div(res, Fac(n - r));
            return res;
        }
        public Modulo() { }
    }
}
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