結果
| 問題 | No.2527 H and W |
| ユーザー |
 crimsontea
|
| 提出日時 | 2023-11-03 22:06:32 |
| 言語 | C# (.NET 8.0.404) |
| 結果 |
AC
|
| 実行時間 | 155 ms / 2,000 ms |
| コード長 | 11,324 bytes |
| コンパイル時間 | 13,570 ms |
| コンパイル使用メモリ | 171,588 KB |
| 実行使用メモリ | 214,008 KB |
| 最終ジャッジ日時 | 2024-09-25 20:29:41 |
| 合計ジャッジ時間 | 13,011 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge2 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 23 |
コンパイルメッセージ
復元対象のプロジェクトを決定しています... /home/judge/data/code/main.csproj を復元しました (91 ms)。 MSBuild のバージョン 17.9.6+a4ecab324 (.NET) /home/judge/data/code/Main.cs(118,28): warning CS8632: '#nullable' 注釈コンテキスト内のコードでのみ、Null 許容参照型の注釈を使用する必要があります。 [/home/judge/data/code/main.csproj] /home/judge/data/code/Main.cs(119,26): warning CS8632: '#nullable' 注釈コンテキスト内のコードでのみ、Null 許容参照型の注釈を使用する必要があります。 [/home/judge/data/code/main.csproj] main -> /home/judge/data/code/bin/Release/net8.0/main.dll main -> /home/judge/data/code/bin/Release/net8.0/publish/
ソースコード
using System;
using System.Linq;
using System.Collections;
using System.IO;
using System.Collections.Generic;
using System.Text;
using System.Numerics;
using System.Runtime.Intrinsics.X86;
using System.Buffers;
using System.Diagnostics;
using System.Runtime.CompilerServices;
using static InputUtility;
class Program
{
static void Main()
{
using Output output = new(false);
InputNewLine();
var (h, w, k) = (NextInt64, NextInt64, NextInt64);
if (h * w == k)
{
Console.WriteLine(1);
return;
}
const long mod = 998244353;
Combinations combinations = new(mod);
var res = 0L;
if (k % h == 0)
{
var select = w - k / h;
res += combinations.NCR((int)w, (int)select);
res %= mod;
}
if (k % w == 0)
{
var select = h - k / w;
res += combinations.NCR((int)h, (int)select);
res %= mod;
}
for (int i = 1; i < h; i++)
{
var left = h * w - i * w - k;
var select = left / (h - i);
var red = i * w + select * (h - i);
if (h * w - red != k) { continue; }
if (0 < select && select <= w)
{
res += combinations.NCR((int)h, i) * combinations.NCR((int)w, (int)select);
res %= mod;
}
}
Console.WriteLine(res);
}
}
internal class Combinations
{
const long n = 1000000 + 1;
private readonly long[] _fact = new long[n];
private readonly long[] _inv = new long[n];
private readonly long[] _factInv = new long[n];
private readonly long _mod;
public Combinations(long mod)
{
_mod = mod;
_fact[0] = _fact[1] = 1;
_inv[0] = _inv[1] = 1;
_factInv[0] = _factInv[1] = 1;
for (int i = 2; i < n; i++)
{
_fact[i] = _fact[i - 1] * i % mod;
_inv[i] = mod - _inv[mod % i] * (mod / i) % mod;
_factInv[i] = _factInv[i - 1] * _inv[i] % mod;
}
}
public long NCR(int n, int k)
{
if (n - k < 0)
{
return 0;
}
return _fact[n] * _factInv[k] % _mod * _factInv[n - k] % _mod;
}
public long NPR(int n, int k)
{
if (n - k < 0)
{
return 0;
}
return _fact[n] * _factInv[n - k] % _mod;
}
public long NHR(int n, int k)
{
return NCR(n + k - 1, k);
}
}
public static class InputUtility
{
private static string[]? s_inputs;
private static string? s_raw;
private static int s_index = 0;
private static void Init() => s_index = 0;
public static int NextInt32 => int.Parse(s_inputs![s_index++]!);
public static uint NextUInt32 => uint.Parse(s_inputs![s_index++]!);
public static long NextInt64 => long.Parse(s_inputs![s_index++]!);
public static BigInteger NextBigInteger => long.Parse(s_inputs![s_index++]!);
public static string NextString => s_inputs![s_index++];
public static char NextChar => s_inputs![s_index++][0];
public static int[] GetInt32Array() => s_inputs!.Select(int.Parse).ToArray();
public static long[] GetInt64Array() => s_inputs!.Select(long.Parse).ToArray();
public static string GetRawString() => s_raw!;
#if DEBUG
private static TextReader? s_textReader;
public static void SetSource(string path) => s_textReader = new StringReader(File.ReadAllText(path));
#endif
public static bool InputNewLine()
{
#if DEBUG
if (s_textReader is TextReader sr)
{
Init();
s_raw = sr.ReadLine()!;
s_inputs = s_raw.Split(' ', StringSplitOptions.RemoveEmptyEntries);
return true;
}
#endif
Init();
s_raw = Console.ReadLine()!;
s_inputs = s_raw.Split(' ', StringSplitOptions.RemoveEmptyEntries);
return true;
}
}
public readonly struct Output : IDisposable
{
private readonly StreamWriter _sw;
#if DEBUG
public Output(string path)
{
var fs = new FileStream(path, FileMode.Create, FileAccess.Write);
_sw = new StreamWriter(fs);
Console.SetOut(_sw);
}
#endif
public Output(bool autoFlush)
{
_sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = autoFlush };
Console.SetOut(_sw);
}
public void Dispose()
{
_sw.Dispose();
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
internal void Flush()
{
_sw.Flush();
}
}
public static class ArrayExtensions
{
public static void Swap<T>(this T[] array, int i, int j) => (array[i], array[j]) = (array[j], array[i]);
public static int LowerBound<T>(this T[] a, T target) where T : IComparable<T>
{
int ok = a.Length;
int ng = -1;
while (Math.Abs(ok - ng) > 1 && (ok + ng) / 2 is int mid)
(ok, ng) = a[mid].CompareTo(target) >= 0 ? (mid, ng) : (ok, mid);
return ok;
}
public static int UpperBound<T>(this T[] a, T target) where T : IComparable<T>
{
int ok = a.Length;
int ng = -1;
while (Math.Abs(ok - ng) > 1 && (ok + ng) / 2 is int mid)
(ok, ng) = a[mid].CompareTo(target) > 0 ? (mid, ng) : (ok, mid);
return ok;
}
public struct IndexedEnumerable<T> : IEnumerable<(T item, int index)>
{
private readonly T[] _a;
private readonly int _startIndex;
public IndexedEnumerable(T[] a, int startIndex = 0)
{
_a = a;
_startIndex = startIndex;
}
public readonly IndexedEnumerator<T> GetEnumerator() => new IndexedEnumerator<T>(_a, _startIndex);
IEnumerator IEnumerable.GetEnumerator() => GetEnumerator();
IEnumerator<(T item, int index)> IEnumerable<(T item, int index)>.GetEnumerator() => GetEnumerator();
}
public struct IndexedEnumerator<T> : IEnumerator<(T item, int index)>
{
public readonly (T item, int index) Current => (_a[_index], _index + _startIndex);
private int _index;
private int _startIndex;
private T[] _a;
public IndexedEnumerator(T[] a, int startIndex)
{
_index = -1;
_a = a;
_startIndex = startIndex;
}
public bool MoveNext() => ++_index < _a.Length;
readonly object IEnumerator.Current => Current;
public readonly void Dispose() { }
public void Reset() => _index = -1;
}
/// <returns>(T value, int index)</returns>
public static IndexedEnumerable<T> Enumerate<T>(this T[] arr, int startIndex = 0) => new IndexedEnumerable<T>(arr, startIndex);
}
public static class IEnumerableExtensions
{
public static IEnumerable<TSource> Log<TSource>(this IEnumerable<TSource> source)
{
Console.WriteLine(string.Join(' ', source));
return source;
}
public static ScanEnumerable<TSource, TAccumulate> Scan<TSource, TAccumulate>(
this IEnumerable<TSource> source,
TAccumulate seed,
Func<TAccumulate, TSource, TAccumulate> accumulator) where TSource : struct where TAccumulate : struct
{
return new ScanEnumerable<TSource, TAccumulate>(source, accumulator, seed);
}
public static IEnumerable<TAccumulate> ScanExSeed<TSource, TAccumulate>(
this IEnumerable<TSource> source,
TAccumulate seed,
Func<TAccumulate, TSource, TAccumulate> accumulator)
{
var accumulation = new List<TAccumulate>();
var current = seed;
foreach (var item in source)
{
current = accumulator(current, item);
accumulation.Add(current);
}
return accumulation;
}
public readonly struct ScanEnumerable<TSource, TAccumulate> : IEnumerable<TAccumulate> where TSource : struct where TAccumulate : struct
{
private readonly IEnumerable<TSource> _source;
private readonly Func<TAccumulate, TSource, TAccumulate> _accumulator;
private readonly TAccumulate _seed;
public ScanEnumerable(IEnumerable<TSource> source, Func<TAccumulate, TSource, TAccumulate> accumulator, TAccumulate seed)
{
_source = source;
_accumulator = accumulator;
_seed = seed;
}
public readonly ScanEnumerator<TSource, TAccumulate> GetEnumerator() => new(_source, _accumulator, _seed);
readonly IEnumerator IEnumerable.GetEnumerator() => GetEnumerator();
readonly IEnumerator<TAccumulate> IEnumerable<TAccumulate>.GetEnumerator() => GetEnumerator();
}
public struct ScanEnumerator<TSource, TAccumulate> : IEnumerator<TAccumulate> where TSource : struct where TAccumulate : struct
{
private readonly Func<TAccumulate, TSource, TAccumulate> _accumulator;
private readonly IEnumerator<TSource> _enumerator;
private TAccumulate _current;
private bool _secondOrLaterElement = false;
public ScanEnumerator(IEnumerable<TSource> source, Func<TAccumulate, TSource, TAccumulate> accumulator, TAccumulate seed)
{
_enumerator = source.GetEnumerator();
_accumulator = accumulator;
_current = seed;
}
public readonly TAccumulate Current => _current;
readonly object IEnumerator.Current => Current;
public readonly void Dispose() { }
public bool MoveNext()
{
if (_secondOrLaterElement)
{
if (_enumerator.MoveNext())
{
_current = _accumulator(_current, _enumerator.Current);
return true;
}
return false;
}
else
{
_secondOrLaterElement = true;
return true;
}
}
public void Reset()
{
throw new NotSupportedException();
}
}
public static IEnumerable<TSource> Scan<TSource>(
this IEnumerable<TSource> source,
Func<TSource, TSource, TSource> accumulator)
{
if (source is null)
throw new ArgumentNullException(paramName: nameof(source));
if (accumulator is null)
throw new ArgumentNullException(paramName: nameof(accumulator));
var accumulation = new List<TSource>();
if (source.Any() is false)
{
return accumulation;
}
var current = source.First();
accumulation.Add(current);
foreach (var item in source.Skip(1))
{
current = accumulator(current, item);
accumulation.Add(current);
}
return accumulation;
}
}
public class MyMath
{
public static long Pow(long x, int y) => Enumerable.Repeat(x, y).Aggregate(1L, (acc, x) => acc * x);
public static long Pow10(int y) => Pow(10, y);
public static long Pow2(int y) => Pow(2, y);
}
public class MyMathBigInteger
{
public static BigInteger Pow(long x, int y) => Enumerable.Repeat(x, y).Aggregate(new BigInteger(1), (acc, x) => acc * x);
public static BigInteger Pow10(int y) => Pow(10, y);
public static BigInteger Pow2(int y) => Pow(2, y);
}