#381181 (C#(csc)) No.891 隣接3項間の漸化式

提出ソース

結果

問題	No.891 隣接3項間の漸化式
ユーザー	りあん
提出日時	2019-09-20 21:29:03
言語	C#(csc) (csc 3.9.0)
結果	AC
実行時間	29 ms / 2,000 ms
コード長	9,844 bytes
コンパイル時間	1,301 ms
コンパイル使用メモリ	122,800 KB
実行使用メモリ	18,048 KB
最終ジャッジ日時	2024-09-14 16:24:13
合計ジャッジ時間	3,726 ms
ジャッジサーバーID （参考情報）	judge6 / judge3

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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	26 ms 17,920 KB
testcase_01	AC	26 ms 17,920 KB
testcase_02	AC	27 ms 17,920 KB
testcase_03	AC	26 ms 18,048 KB
testcase_04	AC	26 ms 18,048 KB
testcase_05	AC	26 ms 17,920 KB
testcase_06	AC	26 ms 18,048 KB
testcase_07	AC	26 ms 17,792 KB
testcase_08	AC	26 ms 17,920 KB
testcase_09	AC	26 ms 17,920 KB
testcase_10	AC	26 ms 17,920 KB
testcase_11	AC	26 ms 18,048 KB
testcase_12	AC	27 ms 18,048 KB
testcase_13	AC	26 ms 17,792 KB
testcase_14	AC	26 ms 17,792 KB
testcase_15	AC	27 ms 17,792 KB
testcase_16	AC	26 ms 17,920 KB
testcase_17	AC	26 ms 18,048 KB
testcase_18	AC	26 ms 17,920 KB
testcase_19	AC	26 ms 18,048 KB
testcase_20	AC	26 ms 18,048 KB
testcase_21	AC	26 ms 17,920 KB
testcase_22	AC	26 ms 18,048 KB
testcase_23	AC	26 ms 18,048 KB
testcase_24	AC	26 ms 18,048 KB
testcase_25	AC	26 ms 17,920 KB
testcase_26	AC	26 ms 18,048 KB
testcase_27	AC	26 ms 18,048 KB
testcase_28	AC	26 ms 17,920 KB
testcase_29	AC	26 ms 18,048 KB
testcase_30	AC	26 ms 17,920 KB
testcase_31	AC	26 ms 17,920 KB
testcase_32	AC	27 ms 18,048 KB
testcase_33	AC	26 ms 17,792 KB
testcase_34	AC	26 ms 18,048 KB
testcase_35	AC	27 ms 17,920 KB
testcase_36	AC	26 ms 18,048 KB
testcase_37	AC	26 ms 17,920 KB
testcase_38	AC	26 ms 17,792 KB
testcase_39	AC	26 ms 17,792 KB
testcase_40	AC	29 ms 18,048 KB
testcase_41	AC	27 ms 17,920 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

raw source code

using System;
using System.Collections.Generic;
using System.Linq;
using System.Linq.Expressions;
using System.IO;
using System.Threading;
using System.Text;
using System.Diagnostics;

using static util;
using P = pair<int, int>;
using CALC = System.Func<int[], int[], int[]>;
using FU = System.Func<int[], int, int, int[], int[]>;
using APPLY = System.Func<int[], System.Func<int[], int, int, int[], int[]>, int, int ,int[]>;
using MERGE = System.Func<System.Func<int[], int, int, int[], int[]>, System.Func<int[], int, int, int[], int[]>, System.Func<int[], int, int, int[], int[]>>;

using Binary = System.Func<System.Linq.Expressions.ParameterExpression,
                           System.Linq.Expressions.ParameterExpression,
                           System.Linq.Expressions.BinaryExpression>;
using Unary = System.Func<System.Linq.Expressions.ParameterExpression,
                          System.Linq.Expressions.UnaryExpression>;

class Program {
    static StreamWriter sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
    static Scan sc = new Scan();
    const int M = 1000000007;
    const int M2 = 998244353;
    const long LM = 1L << 60;
    const double eps = 1e-11;
    static void DBG(string a) => Console.WriteLine(a);
    static void DBG<T>(IEnumerable<T> a) => DBG(string.Join(" ", a));
    static void DBG(params object[] a) => DBG(string.Join(" ", a));
    static void Prt(string a) => sw.WriteLine(a);
    static void Prt<T>(IEnumerable<T> a) => Prt(string.Join(" ", a));
    static void Prt(params object[] a) => Prt(string.Join(" ", a));

    static void Main(string[] args)
    {
        var solver = new Solver();
        // var t = new Thread(solver.solve, 1 << 26); // 64 MB
        // t.Start();
        // t.Join();
        solver.solve();
        sw.Flush();
    }

    class Solver {
        long[][] E(int n) {
            var ret = new long[n][];
            for (int i = 0; i < n; i++) { ret[i] = new long[n]; ret[i][i] = 1; }
            return ret;
        }
        long[][] pow(long[][] A, long n) {
            if (n == 0) return E(A.Length);
            var t = pow(A, n / 2);
            if ((n & 1) == 0) return mul(t, t);
            return mul(mul(t, t), A);
        }
        long dot(long[] x, long[] y) {
            int n = x.Length;
            long ret = 0;
            for (int i = 0; i < n; i++) ret = (ret + x[i] * y[i]) % M;
            return ret;
        }
        T[][] trans<T>(T[][] A) {
            int n = A[0].Length, m = A.Length;
            var ret = new T[n][];
            for (int i = 0; i < n; i++) { ret[i] = new T[m]; for (int j = 0; j < m; j++) ret[i][j] = A[j][i]; }
            return ret;
        }
        long[] mul(long a, long[] x) {
            int n = x.Length;
            var ret = new long[n];
            for (int i = 0; i < n; i++) ret[i] = a * x[i] % M;
            return ret;
        }
        long[] mul(long[][] A, long[] x) {
            int n = A.Length;
            var ret = new long[n];
            for (int i = 0; i < n; i++) ret[i] = dot(x, A[i]);
            return ret;
        }
        long[][] mul(long a, long[][] A) {
            int n = A.Length;
            var ret = new long[n][];
            for (int i = 0; i < n; i++) ret[i] = mul(a, A[i]);
            return ret;
        }
        long[][] mul(long[][] A, long[][] B) {
            int n = A.Length;
            var Bt = trans(B);
            var ret = new long[n][];
            for (int i = 0; i < n; i++) ret[i] = mul(Bt, A[i]);
            return ret;
        }
        public void solve() {
            long a, b, n;
            sc.Multi(out a, out b, out n);
            var mat = new long[2][];
            mat[0] = new long[] { a, b };
            mat[1] = new long[] { 1, 0 };
            Prt(pow(mat, n)[1][0]);
        } // end Solver.solve

    }
}

class pair<T, U> : IComparable<pair<T, U>> {
    public T v1;
    public U v2;
    public pair() : this(default(T), default(U)) {}
    public pair(T v1, U v2) { this.v1 = v1; this.v2 = v2; }
    public int CompareTo(pair<T, U> a) {
        int c = Comparer<T>.Default.Compare(v1, a.v1);
        return c != 0 ? c : Comparer<U>.Default.Compare(v2, a.v2);
    }
    public override string ToString() => v1 + " " + v2;
    public void Deconstruct(out T a, out U b) { a = v1; b = v2; }
    public static bool operator>(pair<T, U> a, pair<T, U> b) => a.CompareTo(b) > 0;
    public static bool operator<(pair<T, U> a, pair<T, U> b) => a.CompareTo(b) < 0;
    public static bool operator>=(pair<T, U> a, pair<T, U> b) => a.CompareTo(b) >= 0;
    public static bool operator<=(pair<T, U> a, pair<T, U> b) => a.CompareTo(b) <= 0;
}
static class util {
    public static pair<T, U> make_pair<T, U>(T v1, U v2) => new pair<T, U>(v1, v2);
    public static T sq<T>(T a) => Operator<T>.Multiply(a, a);
    public static T Max<T>(params T[] a) => a.Max();
    public static T Min<T>(params T[] a) => a.Min();
    public static bool inside(int i, int j, int h, int w) => i >= 0 && i < h && j >= 0 && j < w;
    static readonly int[] dd = { 0, 1, 0, -1 };
    static readonly string dstring = "RDLU";
    public static P[] adjacents(this P p) => adjacents(p.v1, p.v2);
    public static P[] adjacents(this P p, int h, int w) => adjacents(p.v1, p.v2, h, w);
    public static pair<P, char>[] adjacents_with_str(int i, int j)
        => Enumerable.Range(0, dd.Length).Select(k => new pair<P, char>(new P(i + dd[k], j + dd[k ^ 1]), dstring[k])).ToArray();
    public static pair<P, char>[] adjacents_with_str(int i, int j, int h, int w)
        => Enumerable.Range(0, dd.Length).Select(k => new pair<P, char>(new P(i + dd[k], j + dd[k ^ 1]), dstring[k]))
                                         .Where(p => inside(p.v1.v1, p.v1.v2, h, w)).ToArray();
    public static P[] adjacents(int i, int j)
        => Enumerable.Range(0, dd.Length).Select(k => new P(i + dd[k], j + dd[k ^ 1])).ToArray();
    public static P[] adjacents(int i, int j, int h, int w)
        => Enumerable.Range(0, dd.Length).Select(k => new P(i + dd[k], j + dd[k ^ 1])).Where(p => inside(p.v1, p.v2, h, w)).ToArray();
    public static void Assert(bool cond) { if (!cond) throw new Exception(); }
    public static Dictionary<T, int> compress<T>(this IEnumerable<T> a)
        => a.Distinct().OrderBy(v => v).Select((v, i) => new { v, i }).ToDictionary(p => p.v, p => p.i);
    public static Dictionary<T, int> compress<T>(params IEnumerable<T>[] a) => compress(a.Aggregate(Enumerable.Union));
    public static T[] inv<T>(this Dictionary<T, int> dic) {
        var res = new T[dic.Count];
        foreach (var item in dic) res[item.Value] = item.Key;
        return res;
    }
    public static void swap<T>(ref T a, ref T b) where T : struct { var t = a; a = b; b = t; }
    public static void swap<T>(this IList<T> a, int i, int j) where T : struct { var t = a[i]; a[i] = a[j]; a[j] = t; }
    public static T[] copy<T>(this IList<T> a) {
        var ret = new T[a.Count];
        for (int i = 0; i < a.Count; i++) ret[i] = a[i];
        return ret;
    }
}
static class Operator<T> {
    static readonly ParameterExpression x = Expression.Parameter(typeof(T), "x");
    static readonly ParameterExpression y = Expression.Parameter(typeof(T), "y");
    public static readonly Func<T, T, T> Add = Lambda(Expression.Add);
    public static readonly Func<T, T, T> Subtract = Lambda(Expression.Subtract);
    public static readonly Func<T, T, T> Multiply = Lambda(Expression.Multiply);
    public static readonly Func<T, T, T> Divide = Lambda(Expression.Divide);
    public static readonly Func<T, T> Plus = Lambda(Expression.UnaryPlus);
    public static readonly Func<T, T> Negate = Lambda(Expression.Negate);
    public static Func<T, T, T> Lambda(Binary op) => Expression.Lambda<Func<T, T, T>>(op(x, y), x, y).Compile();
    public static Func<T, T> Lambda(Unary op) => Expression.Lambda<Func<T, T>>(op(x), x).Compile();
}

class Scan {
    StreamReader sr;
    public Scan() { sr = new StreamReader(Console.OpenStandardInput()); }
    public Scan(string path) { sr = new StreamReader(path); }
    public int Int => int.Parse(Str);
    public long Long => long.Parse(Str);
    public double Double => double.Parse(Str);
    public string Str => sr.ReadLine().Trim();
    public pair<T, U> Pair<T, U>() {
        T a; U b;
        Multi(out a, out b);
        return new pair<T, U>(a, b);
    }
    public P P => Pair<int, int>();
    public int[] IntArr => StrArr.Select(int.Parse).ToArray();
    public long[] LongArr => StrArr.Select(long.Parse).ToArray();
    public double[] DoubleArr => StrArr.Select(double.Parse).ToArray();
    public string[] StrArr => Str.Split(new[]{' '}, StringSplitOptions.RemoveEmptyEntries);
    bool eq<T, U>() => typeof(T).Equals(typeof(U));
    T ct<T, U>(U a) => (T)Convert.ChangeType(a, typeof(T));
    T cv<T>(string s) => eq<T, int>()    ? ct<T, int>(int.Parse(s))
                       : eq<T, long>()   ? ct<T, long>(long.Parse(s))
                       : eq<T, double>() ? ct<T, double>(double.Parse(s))
                       : eq<T, char>()   ? ct<T, char>(s[0])
                                         : ct<T, string>(s);
    public void Multi<T>(out T a) => a = cv<T>(Str);
    public void Multi<T, U>(out T a, out U b)
    { var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); }
    public void Multi<T, U, V>(out T a, out U b, out V c)
    { var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); }
    public void Multi<T, U, V, W>(out T a, out U b, out V c, out W d)
    { var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); d = cv<W>(ar[3]); }
    public void Multi<T, U, V, W, X>(out T a, out U b, out V c, out W d, out X e)
    { var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); d = cv<W>(ar[3]); e = cv<X>(ar[4]); }
}

yukicoder

結果

テストケース

コンパイルメッセージ

ソースコード