結果
問題 | No.891 隣接3項間の漸化式 |
ユーザー | ひばち |
提出日時 | 2019-09-21 05:58:11 |
言語 | C#(csc) (csc 3.9.0) |
結果 |
AC
|
実行時間 | 33 ms / 2,000 ms |
コード長 | 8,391 bytes |
コンパイル時間 | 1,163 ms |
コンパイル使用メモリ | 118,380 KB |
実行使用メモリ | 29,228 KB |
最終ジャッジ日時 | 2024-09-16 05:44:08 |
合計ジャッジ時間 | 4,108 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge1 |
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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
25,204 KB |
testcase_01 | AC | 31 ms
29,228 KB |
testcase_02 | AC | 29 ms
25,064 KB |
testcase_03 | AC | 28 ms
23,096 KB |
testcase_04 | AC | 28 ms
25,264 KB |
testcase_05 | AC | 29 ms
25,196 KB |
testcase_06 | AC | 29 ms
25,188 KB |
testcase_07 | AC | 29 ms
25,412 KB |
testcase_08 | AC | 28 ms
27,324 KB |
testcase_09 | AC | 27 ms
25,396 KB |
testcase_10 | AC | 28 ms
25,276 KB |
testcase_11 | AC | 27 ms
25,132 KB |
testcase_12 | AC | 29 ms
25,004 KB |
testcase_13 | AC | 27 ms
22,964 KB |
testcase_14 | AC | 30 ms
27,320 KB |
testcase_15 | AC | 29 ms
27,364 KB |
testcase_16 | AC | 31 ms
25,320 KB |
testcase_17 | AC | 30 ms
24,936 KB |
testcase_18 | AC | 33 ms
25,328 KB |
testcase_19 | AC | 30 ms
25,080 KB |
testcase_20 | AC | 28 ms
25,324 KB |
testcase_21 | AC | 31 ms
27,320 KB |
testcase_22 | AC | 30 ms
25,076 KB |
testcase_23 | AC | 27 ms
27,104 KB |
testcase_24 | AC | 29 ms
25,008 KB |
testcase_25 | AC | 30 ms
25,200 KB |
testcase_26 | AC | 29 ms
23,344 KB |
testcase_27 | AC | 28 ms
25,192 KB |
testcase_28 | AC | 28 ms
23,092 KB |
testcase_29 | AC | 27 ms
24,940 KB |
testcase_30 | AC | 28 ms
25,404 KB |
testcase_31 | AC | 28 ms
25,268 KB |
testcase_32 | AC | 28 ms
25,324 KB |
testcase_33 | AC | 28 ms
25,064 KB |
testcase_34 | AC | 28 ms
27,192 KB |
testcase_35 | AC | 28 ms
27,200 KB |
testcase_36 | AC | 27 ms
25,192 KB |
testcase_37 | AC | 29 ms
25,204 KB |
testcase_38 | AC | 32 ms
27,200 KB |
testcase_39 | AC | 29 ms
26,992 KB |
testcase_40 | AC | 29 ms
25,324 KB |
testcase_41 | AC | 29 ms
25,404 KB |
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
using System; using System.Collections.Generic; using System.Linq; using System.IO; using static System.Console; using static System.Convert; using static System.Math; //using static System.Globalization.CultureInfo; using System.Text; class Program { public static bool chmin<T>(ref T num, T val) where T : IComparable<T> { if (num.CompareTo(val) == 1) { num = val; return true; } return false; } public static bool chmax<T>(ref T num, T val) where T : IComparable<T> { if (num.CompareTo(val) == -1) { num = val; return true; } return false; } public static void swap<T>(ref T v1, ref T v2) { var t = v2; v2 = v1; v1 = t; } public static void Fail() { WriteLine("No"); Console.Out.Close(); Environment.Exit(0); } static void Main(string[] args) { var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }; Console.SetOut(sw); var p = new Program(); for (var i = 1; i > 0; --i) p.Solve(); Console.Out.Flush(); } void Solve() { int a, b, n; Input.Make(out a, out b, out n); var mt = new Matrix(2, 2); mt[0][0] = a; mt[0][1] = b; mt[1][0] = 1; WriteLine(mt.Pow(n)[1][0]); } } public class Matrix { private long[][] item { get; } public int Height { get; } public int Width { get; } public static long e { get; set; } public static Func<long, long, long> add { get; set; } public static Func<long, long, long> mul { get; set; } public long[] this[int i] { get { return item[i]; } set { item[i] = value; } } public long this[int i1, int i2] { get { return item[i1][i2]; } set { item[i1][i2] = value; } } public Matrix(int height, int width) { Height = height; Width = width; item = Enumerable.Repeat(0, height).Select(_ => new long[width]).ToArray(); } static Matrix() { var mod = (int)1e9 + 7; e = 1; add = (a, b) => (a + b) % mod; mul = (a, b) => a * b % mod; } public static Matrix E(int size) { var tm = new Matrix(size, size); for (var i = 0; i < size; i++) tm[i, i] = e; return tm; } public static Matrix Trans(Matrix m) { var n = m.Width; var p = m.Height; var tm = new Matrix(n, p); for (var i = 0; i < n; i++) { for (var j = 0; j < p; j++) tm[i, j] = m[j, i]; } return tm; } public static long Dot(long[] ar1, long[] ar2) { var tm = 0L; for (var i = 0; i < ar1.Length; i++) tm = add(tm, mul(ar1[i], ar2[i])); return tm; } public static Matrix Add(Matrix m1, Matrix m2) { var tm = new Matrix(m1.Height, m1.Width); for (var i = 0; i < m1.Height; i++) for (var j = 0; j < m1.Width; j++) tm[i, j] = add(m1[i, j], m2[i, j]); return tm; } public static long[] Mul(Matrix m, long[] ar) => Enumerable.Range(0, m.Height).Select(v => Dot(m[v], ar)).ToArray(); public static Matrix Mul(Matrix m1, Matrix m2) { var tr = Trans(m2); var tm = new Matrix(m1.Height, m2.Width); for (var i = 0; i < m1.Height; i++) tm[i] = Mul(tr, m1[i]); return tm; } public static Matrix operator +(Matrix l, Matrix r) => Add(l, r); public static Matrix operator *(Matrix l, Matrix r) => Mul(l, r); public static long[] operator *(Matrix l, long[] r) => Mul(l, r); public Matrix Pow(long n) { if (n == 0) return E(Height); var tm = Pow(n / 2); if (n % 2 == 0) return Mul(tm, tm); else return Mul(Mul(tm, tm), this); } } public class Input { public static string read => ReadLine().Trim(); public static int[] ar => read.Split(' ').Select(int.Parse).ToArray(); public static int num => ToInt32(read); public static long[] arL => read.Split(' ').Select(long.Parse).ToArray(); public static long numL => ToInt64(read); public static T[] create<T>(int n, Func<int, T> f) => Enumerable.Repeat(0, n).Select(f).ToArray(); public static char[][] grid(int h) => create(h, _ => read.ToCharArray()); public static int[] ar1D(int n) => create(n, _ => num); public static long[] arL1D(int n) => create(n, _ => numL); public static string[] strs(int n) => create(n, _ => read); public static int[][] ar2D(int n) => create(n, _ => ar); public static long[][] arL2D(int n) => create(n, _ => arL); public static List<T>[] edge<T>(int n) => create(n, _ => new List<T>()); public static T GetValue<T>(string g) { var t = typeof(T); if (t == typeof(int)) return (T)(object)int.Parse(g); if (t == typeof(long)) return (T)(object)long.Parse(g); if (t == typeof(string)) return (T)(object)g; if (t == typeof(char)) return (T)(object)char.Parse(g); if (t == typeof(double)) return (T)(object)double.Parse(g); if (t == typeof(bool)) return (T)(object)bool.Parse(g); return default(T); } public static void Make<T1, T2>(out T1 v1, out T2 v2) { v1 = Next<T1>(); v2 = Next<T2>(); } public static void Make<T1, T2, T3>(out T1 v1, out T2 v2, out T3 v3) { Make(out v1, out v2); v3 = Next<T3>(); } public static void Make<T1, T2, T3, T4>(out T1 v1, out T2 v2, out T3 v3, out T4 v4) { Make(out v1, out v2, out v3); v4 = Next<T4>(); } public static void Make<T1, T2, T3, T4, T5>(out T1 v1, out T2 v2, out T3 v3, out T4 v4, out T5 v5) { Make(out v1, out v2, out v3, out v4); v5 = Next<T5>(); } public static void Make<T1, T2, T3, T4, T5, T6>(out T1 v1, out T2 v2, out T3 v3, out T4 v4, out T5 v5, out T6 v6) { Make(out v1, out v2, out v3, out v4, out v5); v6 = Next<T6>(); } private static Queue<string> sc; public static T Next<T>() { sc = sc ?? new Queue<string>(); if (sc.Count == 0) foreach (var item in read.Split(' ')) sc.Enqueue(item); return GetValue<T>(sc.Dequeue()); } public static void Next<T>(ref T val) => val = Next<T>(); public const long Inf = (long)1e18; public const double eps = 1e-6; public const string Alfa = "abcdefghijklmnopqrstuvwxyz"; public const int MOD = 1000000007; } public class Pair<T1, T2> : IComparable<Pair<T1, T2>> { public T1 v1 { get; set; } public T2 v2 { get; set; } public Pair() { v1 = Input.Next<T1>(); v2 = Input.Next<T2>(); } public Pair(T1 v1, T2 v2) { this.v1 = v1; this.v2 = v2; } public int CompareTo(Pair<T1, T2> p) { var c = Comparer<T1>.Default.Compare(v1, p.v1); if (c == 0) c = Comparer<T2>.Default.Compare(v2, p.v2); return c; } public override string ToString() => $"{v1.ToString()} {v2.ToString()}"; public override bool Equals(object obj) => this == (Pair<T1, T2>)obj; public override int GetHashCode() => v1.GetHashCode() ^ v2.GetHashCode(); public static bool operator ==(Pair<T1, T2> p1, Pair<T1, T2> p2) => p1.CompareTo(p2) == 0; public static bool operator !=(Pair<T1, T2> p1, Pair<T1, T2> p2) => p1.CompareTo(p2) != 0; public static bool operator >(Pair<T1, T2> p1, Pair<T1, T2> p2) => p1.CompareTo(p2) == 1; public static bool operator >=(Pair<T1, T2> p1, Pair<T1, T2> p2) => p1.CompareTo(p2) != -1; public static bool operator <(Pair<T1, T2> p1, Pair<T1, T2> p2) => p1.CompareTo(p2) == -1; public static bool operator <=(Pair<T1, T2> p1, Pair<T1, T2> p2) => p1.CompareTo(p2) != 1; } public class Pair<T1, T2, T3> : Pair<T1, T2>, IComparable<Pair<T1, T2, T3>> { public T3 v3 { get; set; } public Pair() : base() { v3 = Input.Next<T3>(); } public Pair(T1 v1, T2 v2, T3 v3) : base(v1, v2) { this.v3 = v3; } public int CompareTo(Pair<T1, T2, T3> p) { var c = base.CompareTo(p); if (c == 0) c = Comparer<T3>.Default.Compare(v3, p.v3); return c; } public override string ToString() => $"{base.ToString()} {v3.ToString()}"; }