結果

問題 No.2396 等差二項展開
ユーザー 👑 p-adicp-adic
提出日時 2023-02-25 18:48:46
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 905 ms / 6,000 ms
コード長 5,335 bytes
コンパイル時間 4,737 ms
コンパイル使用メモリ 113,468 KB
最終ジャッジ日時 2025-02-10 23:25:30
ジャッジサーバーID
（参考情報） 		judge4 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
other AC * 31
権限があれば一括ダウンロードができます

ソースコード

diff # 

// フォーマットチェック
#pragma GCC optimize ( "O3" )
#pragma GCC optimize( "unroll-loops" )
#pragma GCC target ( "sse4.2,fma,avx2,popcnt,lzcnt,bmi2" )
#include <iostream>
#include <vector>
#include <string>
#include <stdio.h>
#include <stdint.h>
#include <cassert>
using namespace std;

using uint = unsigned int;
using ll = long long;

#define MAIN main
#define TYPE_OF( VAR ) remove_const<remove_reference<decltype( VAR )>::type >::type
#define UNTIE ios_base::sync_with_stdio( false ); cin.tie( nullptr ) 
#define CEXPR( LL , BOUND , VALUE ) constexpr const LL BOUND = VALUE 
#define GETLINE( S ) string S; getline( cin , S ); int VARIABLE_FOR_INDEX_FOR_STOI_FOR_ ## S = 0; int VARIABLE_FOR_SIZE_FOR_STOI_FOR_ ## S = S.size()
#define FOR( VAR , INITIAL , FINAL_PLUS_ONE ) for( TYPE_OF( FINAL_PLUS_ONE ) VAR = INITIAL ; VAR < FINAL_PLUS_ONE ; VAR ++ ) 
#define QUIT return 0 
#define RETURN( ANSWER ) cout << ( ANSWER ) << "\n"; QUIT 

#define POWER( ANSWER , ARGUMENT , EXPONENT )				\
  TYPE_OF( ARGUMENT ) ANSWER{ 1 };					\
  {									\
    TYPE_OF( ARGUMENT ) ARGUMENT_FOR_SQUARE_FOR_POWER = ( ARGUMENT );	\
    TYPE_OF( EXPONENT ) EXPONENT_FOR_SQUARE_FOR_POWER = ( EXPONENT );	\
    while( EXPONENT_FOR_SQUARE_FOR_POWER != 0 ){			\
      if( EXPONENT_FOR_SQUARE_FOR_POWER % 2 == 1 ){			\
	ANSWER *= ARGUMENT_FOR_SQUARE_FOR_POWER;			\
      }									\
      ARGUMENT_FOR_SQUARE_FOR_POWER *= ARGUMENT_FOR_SQUARE_FOR_POWER;	\
      EXPONENT_FOR_SQUARE_FOR_POWER /= 2;				\
    }									\
  }									\


// 入力フォーマットチェック用
// #define CHECK_REDUNDANT_INPUT string VARIABLE_FOR_CHECK_REDUNDANT_INPUT = ""; cin >> VARIABLE_FOR_CHECK_REDUNDANT_INPUT; assert( VARIABLE_FOR_CHECK_REDUNDANT_INPUT == "" ); assert( ! cin )
#define CHECK_REDUNDANT_INPUT string VARIABLE_FOR_CHECK_REDUNDANT_INPUT = ""; getline( cin , VARIABLE_FOR_CHECK_REDUNDANT_INPUT ); assert( VARIABLE_FOR_CHECK_REDUNDANT_INPUT == "" ); assert( ! cin )
// |N| <= BOUNDを満たすNをSから構築
#define STOI( S , N , BOUND ) TYPE_OF( BOUND ) N = 0; { bool VARIABLE_FOR_POSITIVITY_FOR_STOI = true; assert( VARIABLE_FOR_INDEX_FOR_STOI_FOR_ ## S < VARIABLE_FOR_SIZE_FOR_STOI_FOR_ ## S ); if( S.substr( VARIABLE_FOR_INDEX_FOR_STOI_FOR_ ## S , 1 ) == "-" ){ VARIABLE_FOR_POSITIVITY_FOR_STOI = false; VARIABLE_FOR_INDEX_FOR_STOI_FOR_ ## S ++; assert( VARIABLE_FOR_INDEX_FOR_STOI_FOR_ ## S < VARIABLE_FOR_SIZE_FOR_STOI_FOR_ ## S ); } assert( S.substr( VARIABLE_FOR_INDEX_FOR_STOI_FOR_ ## S , 1 ) != " " ); string VARIABLE_FOR_LETTER_FOR_STOI{}; int VARIABLE_FOR_DIGIT_FOR_STOI{}; while( VARIABLE_FOR_INDEX_FOR_STOI_FOR_ ## S < VARIABLE_FOR_SIZE_FOR_STOI_FOR_ ## S ? ( VARIABLE_FOR_LETTER_FOR_STOI = S.substr( VARIABLE_FOR_INDEX_FOR_STOI_FOR_ ## S , 1 ) ) != " " : false ){ VARIABLE_FOR_DIGIT_FOR_STOI = stoi( VARIABLE_FOR_LETTER_FOR_STOI ); assert( N < BOUND / 10 ? true : N == BOUND / 10 && VARIABLE_FOR_DIGIT_FOR_STOI <= BOUND % 10 ); N = N * 10 + VARIABLE_FOR_DIGIT_FOR_STOI; VARIABLE_FOR_INDEX_FOR_STOI_FOR_ ## S ++; } if( ! VARIABLE_FOR_POSITIVITY_FOR_STOI ){ N *= -1; } if( VARIABLE_FOR_INDEX_FOR_STOI_FOR_ ## S < VARIABLE_FOR_SIZE_FOR_STOI_FOR_ ## S ){ VARIABLE_FOR_INDEX_FOR_STOI_FOR_ ## S ++; } }
// 1行で入力される変数の個数が適切か確認（半角空白の個数+1を調べる）
#define COUNT_VARIABLE( S , VARIABLE_NUMBER ) { int size = S.size(); int count = 0; for( int i = 0 ; i < size ; i++ ){ if( S.substr( i , 1 ) == " " ){ count++; } } assert( count + 1 == VARIABLE_NUMBER ); }

inline CEXPR( uint , bound_L , 100 );

class Polynomial
{
public:
  vector<ll> m_f;
  static ll g_M;
  static uint g_L;
  static ll g_B;
  inline Polynomial() : m_f( g_L ) {};
  inline Polynomial( const ll& c ) : m_f( g_L ) { m_f[0] = c; };
  inline Polynomial( const Polynomial& g ) : m_f( g.m_f ) {};
  inline Polynomial& operator*=( const Polynomial& g );
};

ll Polynomial::g_M = 1;
uint Polynomial::g_L = 1;
ll Polynomial::g_B = 1;

inline Polynomial& Polynomial::operator*=( const Polynomial& g )
{
  vector<ll> answer( g_L * 2 );
  FOR( i , 0 , g_L ){
    const ll& fi = m_f[i];
    FOR( j , 0 , g_L ){
      ( answer[i + j] += fi * g.m_f[j] ) %= g_B;
      if( answer[i + j] < 0 ){
	cout << "here" << endl;
      }
    }
  }
  FOR( k , 0 , g_L ){
    ( answer[k] += answer[ k + g_L ] * g_M ) %= g_B;
    if( answer[k] < 0 ){
      cout << "here" << endl;
    }
  }
  m_f = move( answer );
  return *this;
}

inline Polynomial operator*( const Polynomial& f , const Polynomial& g ) { return Polynomial( f ).operator*=( g ); }

int MAIN()
{
  UNTIE;
  // 入力１行目を全て取得
  GETLINE( NMLKB_str );
  // その中の変数の個数が5であることを確認
  COUNT_VARIABLE( NMLKB_str , 5 );
  CEXPR( ll , bound_NM , 1000000000000000000 );
  STOI( NMLKB_str , N , bound_NM );
  STOI( NMLKB_str , M , bound_NM );
  CEXPR( uint , bound_L , 1000 );
  STOI( NMLKB_str , L , bound_L );
  Polynomial::g_L = L;
  STOI( NMLKB_str , K , L - 1 );
  CEXPR( ll , bound_B , 1000000000 );
  STOI( NMLKB_str , B , bound_B );
  // 余計な入力がないことを確認
  CHECK_REDUNDANT_INPUT;
  Polynomial::g_B = B;
  Polynomial::g_M = M % B;
  Polynomial f{};
  f.m_f[0] = 1;
  if( L == 1 ){
    f.m_f[0] += Polynomial::g_M;
  } else {
    f.m_f[1] = 1;
  }
  POWER( answer , f , N );
  RETURN( answer.m_f[K] );
}
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