結果
| 問題 | No.1102 Remnants |
| ユーザー |
 terry_u16
|
| 提出日時 | 2020-07-03 23:51:34 |
| 言語 | C#(csc) (csc 3.9.0) |
| 結果 |
MLE
|
| 実行時間 | - |
| コード長 | 14,655 bytes |
| コンパイル時間 | 1,254 ms |
| コンパイル使用メモリ | 122,796 KB |
| 実行使用メモリ | 826,476 KB |
| 最終ジャッジ日時 | 2024-09-17 05:08:08 |
| 合計ジャッジ時間 | 7,325 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / 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 | MLE | - |
| testcase_01 | -- | - |
| testcase_02 | -- | - |
| testcase_03 | -- | - |
| testcase_04 | -- | - |
| testcase_05 | -- | - |
| testcase_06 | -- | - |
| testcase_07 | -- | - |
| testcase_08 | -- | - |
| testcase_09 | -- | - |
| testcase_10 | -- | - |
| testcase_11 | -- | - |
| testcase_12 | -- | - |
| testcase_13 | -- | - |
| testcase_14 | -- | - |
| testcase_15 | -- | - |
| testcase_16 | -- | - |
| testcase_17 | -- | - |
| testcase_18 | -- | - |
| testcase_19 | -- | - |
| testcase_20 | -- | - |
| testcase_21 | -- | - |
| testcase_22 | -- | - |
| testcase_23 | -- | - |
| testcase_24 | -- | - |
| testcase_25 | -- | - |
| testcase_26 | -- | - |
| testcase_27 | -- | - |
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.IO;
using System.Linq;
using System.Text;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using YukicoderContest255.Extensions;
using YukicoderContest255.Questions;
namespace YukicoderContest255.Questions
{
public class QuestionB : AtCoderQuestionBase
{
public override IEnumerable<object> Solve(TextReader inputStream)
{
var (n, k) = inputStream.ReadValue<int, int>();
var a = inputStream.ReadIntArray();
var sum = Modular.Zero;
Modular.InitializeCombinationTable(101000000);
for (int i = 0; i < a.Length; i++)
{
var left = i + 1;
var right = a.Length - i;
sum += new Modular(a[i]) * Modular.CombinationWithRepetition(left, k) * Modular.CombinationWithRepetition(right, k);
}
yield return sum.Value;
}
public readonly struct Modular : IEquatable<Modular>, IComparable<Modular>
{
private const int DefaultMod = 1000000007;
public int Value { get; }
public static int Mod { get; set; } = DefaultMod;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public Modular(long value)
{
if (unchecked((ulong)value) < unchecked((ulong)Mod))
{
Value = (int)value;
}
else
{
Value = (int)(value % Mod);
if (Value < 0)
{
Value += Mod;
}
}
}
private Modular(int value) => Value = value;
public static Modular Zero => new Modular(0);
public static Modular One => new Modular(1);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static Modular operator +(Modular a, Modular b)
{
var result = a.Value + b.Value;
if (result >= Mod)
{
result -= Mod; // 剰余演算を避ける
}
return new Modular(result);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static Modular operator -(Modular a, Modular b)
{
var result = a.Value - b.Value;
if (result < 0)
{
result += Mod; // 剰余演算を避ける
}
return new Modular(result);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static Modular operator *(Modular a, Modular b) => new Modular((long)a.Value * b.Value);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static Modular operator /(Modular a, Modular b) => a * Pow(b.Value, Mod - 2);
// 需要は不明だけど一応
public static bool operator ==(Modular left, Modular right) => left.Equals(right);
public static bool operator !=(Modular left, Modular right) => !(left == right);
public static bool operator <(Modular left, Modular right) => left.CompareTo(right) < 0;
public static bool operator <=(Modular left, Modular right) => left.CompareTo(right) <= 0;
public static bool operator >(Modular left, Modular right) => left.CompareTo(right) > 0;
public static bool operator >=(Modular left, Modular right) => left.CompareTo(right) >= 0;
public static implicit operator Modular(long a) => new Modular(a);
public static explicit operator int(Modular a) => a.Value;
public static explicit operator long(Modular a) => a.Value;
public static Modular Pow(int a, int n)
{
switch (n)
{
case 0:
return Modular.One;
case 1:
return a;
case int m when m >= 0: // ジャンプテーブル化はできなくなる
var p = Pow(a, m >> 1); // m / 2
return p * p * Pow(a, m & 0x01); // m % 2
default:
throw new ArgumentOutOfRangeException(nameof(n), $"べき指数{nameof(n)}は0以上の整数でなければなりません。");
}
}
private static List<int> _factorialCache;
private static List<int> FactorialCache => _factorialCache ??= new List<int>() { 1 };
private static int[] FactorialInverseCache { get; set; }
const int defaultMaxFactorial = 1000000;
public static Modular Factorial(int n)
{
if (n < 0)
{
throw new ArgumentOutOfRangeException(nameof(n), $"{nameof(n)}は0以上の整数でなければなりません。");
}
for (int i = FactorialCache.Count; i <= n; i++) // Countが1（0!までキャッシュ済み）のとき1!～n!まで計算
{
FactorialCache.Add((int)((long)FactorialCache[i - 1] * i % Mod));
}
return new Modular(FactorialCache[n]);
}
public static Modular Permutation(int n, int r)
{
CheckNR(n, r);
return Factorial(n) / Factorial(n - r);
}
public static Modular Combination(int n, int r)
{
CheckNR(n, r);
r = Math.Min(r, n - r);
try
{
return new Modular(FactorialCache[n]) * new Modular(FactorialInverseCache[r]) * new Modular(FactorialInverseCache[n - r]);
}
catch (Exception ex) when (ex is NullReferenceException || ex is ArgumentOutOfRangeException)
{
throw new InvalidOperationException($"{nameof(Combination)}を呼び出す前に{nameof(InitializeCombinationTable)}により前計算を行う必要があります。", ex);
}
}
public static void InitializeCombinationTable(int max = defaultMaxFactorial)
{
Factorial(max);
FactorialInverseCache = new int[max + 1];
var fInv = (Modular.One / Factorial(max)).Value;
FactorialInverseCache[max] = fInv;
for (int i = max - 1; i >= 0; i--)
{
fInv = (int)((long)fInv * (i + 1) % Mod);
FactorialInverseCache[i] = fInv;
}
}
public static Modular CombinationWithRepetition(int n, int r) => Combination(n + r - 1, r);
private static void CheckNR(int n, int r)
{
if (n < 0)
{
throw new ArgumentOutOfRangeException(nameof(n), $"{nameof(n)}は0以上の整数でなければなりません。");
}
if (r < 0)
{
throw new ArgumentOutOfRangeException(nameof(r), $"{nameof(r)}は0以上の整数でなければなりません。");
}
if (n < r)
{
throw new ArgumentOutOfRangeException($"{nameof(n)},{nameof(r)}", $"{nameof(r)}は{nameof(n)}以下でなければなりません。");
}
}
public override string ToString() => $"{Value} (mod {Mod})";
public override bool Equals(object obj) => obj is Modular m ? Equals(m) : false;
public bool Equals([System.Diagnostics.CodeAnalysis.AllowNull] Modular other) => Value == other.Value;
public int CompareTo([System.Diagnostics.CodeAnalysis.AllowNull] Modular other) => Value.CompareTo(other.Value);
public override int GetHashCode() => Value.GetHashCode();
}
}
}
namespace YukicoderContest255
{
class Program
{
static void Main(string[] args)
{
IAtCoderQuestion question = new QuestionB();
var answers = question.Solve(Console.In);
var writer = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
Console.SetOut(writer);
foreach (var answer in answers)
{
Console.WriteLine(answer);
}
Console.Out.Flush();
}
}
}
#region Base Class
namespace YukicoderContest255.Questions
{
public interface IAtCoderQuestion
{
IEnumerable<object> Solve(string input);
IEnumerable<object> Solve(TextReader inputStream);
}
public abstract class AtCoderQuestionBase : IAtCoderQuestion
{
public IEnumerable<object> Solve(string input)
{
var stream = new MemoryStream(Encoding.Unicode.GetBytes(input));
var reader = new StreamReader(stream, Encoding.Unicode);
return Solve(reader);
}
public abstract IEnumerable<object> Solve(TextReader inputStream);
}
}
#endregion
#region Extensions
namespace YukicoderContest255.Extensions
{
public static class TextReaderExtensions
{
public static int ReadInt(this TextReader reader) => int.Parse(ReadString(reader));
public static long ReadLong(this TextReader reader) => long.Parse(ReadString(reader));
public static double ReadDouble(this TextReader reader) => double.Parse(ReadString(reader));
public static string ReadString(this TextReader reader) => reader.ReadLine();
public static int[] ReadIntArray(this TextReader reader, char separator = ' ') => ReadStringArray(reader, separator).Select(int.Parse).ToArray();
public static long[] ReadLongArray(this TextReader reader, char separator = ' ') => ReadStringArray(reader, separator).Select(long.Parse).ToArray();
public static double[] ReadDoubleArray(this TextReader reader, char separator = ' ') => ReadStringArray(reader, separator).Select(double.Parse).ToArray();
public static string[] ReadStringArray(this TextReader reader, char separator = ' ') => reader.ReadLine().Split(separator);
// Supports primitive type only.
public static T1 ReadValue<T1>(this TextReader reader) => (T1)Convert.ChangeType(reader.ReadLine(), typeof(T1));
public static (T1, T2) ReadValue<T1, T2>(this TextReader reader, char separator = ' ')
{
var inputs = ReadStringArray(reader, separator);
var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
return (v1, v2);
}
public static (T1, T2, T3) ReadValue<T1, T2, T3>(this TextReader reader, char separator = ' ')
{
var inputs = ReadStringArray(reader, separator);
var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
return (v1, v2, v3);
}
public static (T1, T2, T3, T4) ReadValue<T1, T2, T3, T4>(this TextReader reader, char separator = ' ')
{
var inputs = ReadStringArray(reader, separator);
var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
return (v1, v2, v3, v4);
}
public static (T1, T2, T3, T4, T5) ReadValue<T1, T2, T3, T4, T5>(this TextReader reader, char separator = ' ')
{
var inputs = ReadStringArray(reader, separator);
var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
return (v1, v2, v3, v4, v5);
}
public static (T1, T2, T3, T4, T5, T6) ReadValue<T1, T2, T3, T4, T5, T6>(this TextReader reader, char separator = ' ')
{
var inputs = ReadStringArray(reader, separator);
var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6));
return (v1, v2, v3, v4, v5, v6);
}
public static (T1, T2, T3, T4, T5, T6, T7) ReadValue<T1, T2, T3, T4, T5, T6, T7>(this TextReader reader, char separator = ' ')
{
var inputs = ReadStringArray(reader, separator);
var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6));
var v7 = (T7)Convert.ChangeType(inputs[6], typeof(T7));
return (v1, v2, v3, v4, v5, v6, v7);
}
public static (T1, T2, T3, T4, T5, T6, T7, T8) ReadValue<T1, T2, T3, T4, T5, T6, T7, T8>(this TextReader reader, char separator = ' ')
{
var inputs = ReadStringArray(reader, separator);
var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6));
var v7 = (T7)Convert.ChangeType(inputs[6], typeof(T7));
var v8 = (T8)Convert.ChangeType(inputs[7], typeof(T8));
return (v1, v2, v3, v4, v5, v6, v7, v8);
}
}
}
#endregion