結果

問題 No.1102 Remnants
ユーザー takytanktakytank
提出日時 2020-07-04 00:22:58
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 147 ms / 2,000 ms
コード長 10,143 bytes
コンパイル時間 926 ms
コンパイル使用メモリ 120,028 KB
実行使用メモリ 42,112 KB
最終ジャッジ日時 2024-09-17 05:16:25
合計ジャッジ時間 3,696 ms
ジャッジサーバーID
（参考情報） 		judge3 / 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 23 ms
17,792 KB
testcase_01 AC 26 ms
17,664 KB
testcase_02 AC 25 ms
17,792 KB
testcase_03 AC 25 ms
18,048 KB
testcase_04 AC 26 ms
17,920 KB
testcase_05 AC 109 ms
37,120 KB
testcase_06 AC 43 ms
22,016 KB
testcase_07 AC 147 ms
42,036 KB
testcase_08 AC 32 ms
18,816 KB
testcase_09 AC 33 ms
19,328 KB
testcase_10 AC 30 ms
18,304 KB
testcase_11 AC 31 ms
18,944 KB
testcase_12 AC 33 ms
19,328 KB
testcase_13 AC 33 ms
18,944 KB
testcase_14 AC 73 ms
27,520 KB
testcase_15 AC 63 ms
25,472 KB
testcase_16 AC 131 ms
42,112 KB
testcase_17 AC 124 ms
41,088 KB
testcase_18 AC 130 ms
39,516 KB
testcase_19 AC 59 ms
25,088 KB
testcase_20 AC 37 ms
21,120 KB
testcase_21 AC 87 ms
35,712 KB
testcase_22 AC 118 ms
40,320 KB
testcase_23 AC 98 ms
36,480 KB
testcase_24 AC 73 ms
28,544 KB
testcase_25 AC 132 ms
39,732 KB
testcase_26 AC 33 ms
19,584 KB
testcase_27 AC 54 ms
24,576 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;
using System.Collections.Generic;
using System.Diagnostics;
using System.Diagnostics.CodeAnalysis;
using System.IO;
using System.Linq;
using System.Numerics;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using System.Text;
using System.Threading;

namespace AtCoder
{
	public class Program
	{
		static void Main()
		{
			var cin = new Scanner();
			int n = cin.Int();
			int k = cin.Int();
			var a = cin.ArrayInt(n);

			ModCounting.InitializeFactorial(n + 1, true);

			var nck = new ModInt[n + 1];
			nck[0] = 1;
			for (int i = 0; i < n; i++) {
				nck[i + 1] = nck[i] * (k + i + 1);
				nck[i + 1] *= ModCounting.Inverse(i + 1);
			}

			ModInt ans = 0;
			for (int i = 0; i < n; i++) {
				ans += nck[i] * nck[n - 1 - i] * a[i];
			}

			Console.WriteLine(ans);
		}
	}

	public static class ModCounting
	{
		private const long p_ = ModInt.P;

		private static ModInt[] factorial_;
		private static ModInt[] inverseFactorial_;
		private static ModInt[] inverse_;

		public static void InitializeFactorial(long max, bool withInverse = false)
		{
			if (withInverse) {
				factorial_ = new ModInt[max + 1];
				inverseFactorial_ = new ModInt[max + 1];
				inverse_ = new ModInt[max + 1];

				factorial_[0] = factorial_[1] = 1;
				inverseFactorial_[0] = inverseFactorial_[1] = 1;
				inverse_[1] = 1;
				for (int i = 2; i <= max; i++) {
					factorial_[i] = factorial_[i - 1] * i;
					inverse_[i] = p_ - inverse_[p_ % i] * (p_ / i);
					inverseFactorial_[i] = inverseFactorial_[i - 1] * inverse_[i];
				}
			} else {
				factorial_ = new ModInt[max + 1];
				inverseFactorial_ = new ModInt[max + 1];

				factorial_[0] = factorial_[1] = 1;
				for (int i = 2; i <= max; i++) {
					factorial_[i] = factorial_[i - 1] * i;
				}

				inverseFactorial_[max] = new ModInt(1) / factorial_[max];
				for (long i = max - 1; i >= 0; i--) {
					inverseFactorial_[i] = inverseFactorial_[i + 1] * (i + 1);
				}
			}
		}

		public static ModInt Factorial(long n)
		{
			if (n < 0) {
				return 0;
			}

			return factorial_[n];
		}

		public static ModInt InverseFactorial(long n)
		{
			if (n < 0) {
				return 0;
			}

			return inverseFactorial_[n];
		}

		public static ModInt Inverse(long n)
		{
			if (n < 0) {
				return 0;
			}

			return inverse_[n];
		}

		public static ModInt Permutation(long n, long k)
		{
			if (n < k || (n < 0 || k < 0)) {
				return 0;
			}

			return factorial_[n] * inverseFactorial_[n - k];
		}

		public static ModInt RepeatedPermutation(long n, long k)
		{
			long ret = 1;
			for (k %= p_ - 1; k > 0; k >>= 1, n = n * n % p_) {
				if ((k & 1) == 1) {
					ret = ret * n % p_;
				}
			}

			return ret;
		}

		public static ModInt Combination(long n, long k)
		{
			if (n < k || (n < 0 || k < 0)) {
				return 0;
			}

			return factorial_[n] * inverseFactorial_[k] * inverseFactorial_[n - k];
		}

		public static ModInt CombinationK(long n, long k)
		{
			ModInt ret = 1;
			for (int i = 0; i < k; i++) {
				ret *= (n - i);
				ret *= inverse_[i + 1];
			}

			return ret;
		}

		public static ModInt HomogeneousProduct(long n, long k)
		{
			if (n < 0 || k < 0) {
				return 0;
			}

			return Combination(n + k - 1, k);
		}
	}

	public struct ModInt
	{
		public const long P = 1000000007;
		//public const long P = 998244353;

		public static ModInt Inverse(ModInt value) => Pow(value, P - 2);
		public static ModInt Pow(ModInt value, long k) => Pow(value.value_, k);
		public static ModInt Pow(long value, long k)
		{
			long ret = 1;
			for (k %= P - 1; k > 0; k >>= 1, value = value * value % P) {
				if ((k & 1) == 1) {
					ret = ret * value % P;
				}
			}
			return new ModInt(ret);
		}

		private long value_;

		public ModInt(long value)
			=> value_ = value;
		public ModInt(long value, bool mods)
		{
			if (mods) {
				value %= P;
				if (value < 0) {
					value += P;
				}
			}

			value_ = value;
		}

		public static ModInt operator +(ModInt lhs, ModInt rhs)
		{
			lhs.value_ = (lhs.value_ + rhs.value_) % P;
			return lhs;
		}
		public static ModInt operator +(long lhs, ModInt rhs)
		{
			rhs.value_ = (lhs + rhs.value_) % P;
			return rhs;
		}
		public static ModInt operator +(ModInt lhs, long rhs)
		{
			lhs.value_ = (lhs.value_ + rhs) % P;
			return lhs;
		}

		public static ModInt operator -(ModInt lhs, ModInt rhs)
		{
			lhs.value_ = (P + lhs.value_ - rhs.value_) % P;
			return lhs;
		}
		public static ModInt operator -(long lhs, ModInt rhs)
		{
			rhs.value_ = (P + lhs - rhs.value_) % P;
			return rhs;
		}
		public static ModInt operator -(ModInt lhs, long rhs)
		{
			lhs.value_ = (P + lhs.value_ - rhs) % P;
			return lhs;
		}

		public static ModInt operator *(ModInt lhs, ModInt rhs)
		{
			lhs.value_ = lhs.value_ * rhs.value_ % P;
			return lhs;
		}
		public static ModInt operator *(long lhs, ModInt rhs)
		{
			rhs.value_ = lhs * rhs.value_ % P;
			return rhs;
		}
		public static ModInt operator *(ModInt lhs, long rhs)
		{
			lhs.value_ = lhs.value_ * rhs % P;
			return lhs;
		}

		public static ModInt operator /(ModInt lhs, ModInt rhs)
		{
			long exp = P - 2;
			while (exp > 0) {
				if (exp % 2 > 0) {
					lhs *= rhs;
				}

				rhs *= rhs;
				exp /= 2;
			}

			return lhs;
		}

		public static implicit operator ModInt(long n) => new ModInt(n, true);
		public long ToLong() => value_;
		public override string ToString() => value_.ToString();
	}

	public class HashMap<TKey, TValue> : Dictionary<TKey, TValue>
	{
		private readonly Func<TKey, TValue> initialzier_;
		public HashMap(Func<TKey, TValue> initialzier)
			: base()
		{
			initialzier_ = initialzier;
		}

		public HashMap(Func<TKey, TValue> initialzier, int capacity)
			: base(capacity)
		{
			initialzier_ = initialzier;
		}

		new public TValue this[TKey key]
		{
			get
			{
				if (ContainsKey(key) == false) {
					base[key] = initialzier_(key);
				}

				return base[key];
			}

			set { base[key] = value; }
		}
	}

	public static class Helper
	{
		public static void UpdateMin<T>(ref T target, T value) where T : IComparable<T>
			=> target = target.CompareTo(value) > 0 ? value : target;

		public static void UpdateMin<T>(ref T target, T value, Action<T> onUpdated) where T : IComparable<T>
		{
			if (target.CompareTo(value) > 0) {
				target = value;
				onUpdated(value);
			}
		}

		public static void UpdateMax<T>(ref T target, T value) where T : IComparable<T>
			=> target = target.CompareTo(value) < 0 ? value : target;
		public static void UpdateMax<T>(ref T target, T value, Action<T> onUpdated) where T : IComparable<T>
		{
			if (target.CompareTo(value) < 0) {
				target = value;
				onUpdated(value);
			}
		}

		public static T[] Array<T>(int n, Func<int, T> init)
			=> Enumerable.Range(0, n).Select(x => init(x)).ToArray();
		public static List<T> List<T>(int n, Func<int, T> init)
			=> Enumerable.Range(0, n).Select(x => init(x)).ToList();
		public static T[,] Array2<T>(int n, int m, T init)
		{
			var array = new T[n, m];
			for (int i = 0; i < n; i++) {
				for (int j = 0; j < m; j++) {
					array[i, j] = init;
				}
			}

			return array;
		}

		public static T[,] Array2<T>(int n, int m, Func<int, int, T> initializer)
		{
			var array = new T[n, m];
			for (int i = 0; i < n; i++) {
				for (int j = 0; j < m; j++) {
					array[i, j] = initializer(i, j);
				}
			}

			return array;
		}

		public static T[,,] Array3<T>(int n1, int n2, int n3, T init)
		{
			var array = new T[n1, n2, n3];
			for (int i1 = 0; i1 < n1; i1++) {
				for (int i2 = 0; i2 < n2; i2++) {
					for (int i3 = 0; i3 < n3; i3++) {
						array[i1, i2, i3] = init;
					}
				}
			}

			return array;
		}

		private static readonly int[] delta4_ = { 1, 0, -1, 0, 1 };
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static void DoAt4(int i, int j, int imax, int jmax, Action<int, int> action)
		{
			for (int dn = 0; dn < 4; dn++) {
				int d4i = i + delta4_[dn];
				int d4j = j + delta4_[dn + 1];
				if ((uint)d4i < (uint)imax && (uint)d4j < (uint)jmax) {
					action(d4i, d4j);
				}
			}
		}

		private static readonly int[] delta8_ = { 1, 0, -1, 0, 1, 1, -1, -1, 1 };
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static void DoAt8(int i, int j, int imax, int jmax, Action<int, int> action)
		{
			for (int dn = 0; dn < 8; dn++) {
				int d8i = i + delta8_[dn];
				int d8j = j + delta8_[dn + 1];
				if ((uint)d8i < (uint)imax && (uint)d8j < (uint)jmax) {
					action(d8i, d8j);
				}
			}
		}
	}

	public class Scanner
	{
		private readonly char[] delimiter_ = new char[] { ' ' };
		private readonly string filePath_;
		private readonly Func<string> reader_;
		private string[] buf_;
		private int index_;

		public Scanner(string file = "")
		{
			if (string.IsNullOrWhiteSpace(file)) {
				reader_ = Console.ReadLine;
			} else {
				filePath_ = file;
				var fs = new StreamReader(file);
				reader_ = fs.ReadLine;
			}
			buf_ = new string[0];
			index_ = 0;
		}

		public string NextLine() => reader_();
		public string Next()
		{
			if (index_ < buf_.Length) {
				return buf_[index_++];
			}

			string st = reader_();
			while (st == "") {
				st = reader_();
			}

			buf_ = st.Split(delimiter_, StringSplitOptions.RemoveEmptyEntries);
			if (buf_.Length == 0) {
				return Next();
			}

			index_ = 0;
			return buf_[index_++];
		}

		public int Int() => int.Parse(Next());
		public long Long() => long.Parse(Next());
		public double Double() => double.Parse(Next());

		public int[] ArrayInt(int N, int add = 0)
		{
			int[] Array = new int[N];
			for (int i = 0; i < N; i++) {
				Array[i] = Int() + add;
			}
			return Array;
		}

		public long[] ArrayLong(int N, long add = 0)
		{
			long[] Array = new long[N];
			for (int i = 0; i < N; i++) {
				Array[i] = Long() + add;
			}
			return Array;
		}

		public double[] ArrayDouble(int N, double add = 0)
		{
			double[] Array = new double[N];
			for (int i = 0; i < N; i++) {
				Array[i] = Double() + add;
			}
			return Array;
		}

		public void Save(string text)
		{
			if (string.IsNullOrWhiteSpace(filePath_)) {
				return;
			}

			File.WriteAllText(filePath_ + "_output.txt", text);
		}
	}
}
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