#959245 (C++17(gcc12)) No.3168 [Cherry 7th Tune D] Manhole

提出ソース
結果

問題	No.3168 [Cherry 7th Tune D] Manhole
コンテスト
ユーザー	👑 p-adic
提出日時	2024-03-11 13:18:51
言語	C++17(gcc12) (gcc 12.3.0 + boost 1.87.0)
結果	AC
実行時間	214 ms / 2,000 ms
コード長	25,617 bytes
コンパイル時間	7,831 ms
コンパイル使用メモリ	231,116 KB
実行使用メモリ	7,844 KB
最終ジャッジ日時	2025-05-30 21:05:46
合計ジャッジ時間	13,257 ms
ジャッジサーバーID （参考情報）	judge3 / judge4
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
sample	AC * 1
other	AC * 21
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ソースコード

raw source code
// 入力制約チェック
#ifndef INCLUDE_MODE
  #define INCLUDE_MODE
  // #define REACTIVE
  // #define USE_GETLINE
#endif

#ifdef INCLUDE_MAIN

inline void Solve()
{
  CEXPR( uint , P , 998244353 );
  CEXPR( ll , bound , P - 1 );
  CIN_ASSERT( A , 0 , bound );
  CIN_ASSERT( B , 0 , bound );
  CIN_ASSERT( C , 1 , bound );
  // cos theta = sqrt((A^2+B^2)/(A^2+B^2+C^2))
  // (sin theta)^2 = C^2/(A^2+B^2+C^2)
  // S = pi*1^2/sin theta
  // (S/pi)^2 = 1/(sin theta)^2 = 1+(A^2+B^2)/C^2
  RETURN( Mod<P>( A * A + B * B ) / ( C * C ) + 1 );
}
REPEAT_MAIN(300000);

#else // INCLUDE_MAIN

#ifdef INCLUDE_LIBRARY

// https://github.com/p-adic/cpp
// VVV ライブラリは以下に挿入する。

template <uint M , typename INT> inline constexpr INT Residue( INT n ) noexcept { return move( n < 0 ? ( ( ( ( ++n ) *= -1 ) %= M ) *= -1 ) += M - 1 : n %= M ); }
template <typename INT1 , typename INT2> inline constexpr INT1 Residue( INT1 n , const INT2& M ) noexcept { return move( n < 0 ? ( ( ( ( ++n ) *= -1 ) %= M ) *= -1 ) += M - 1 : n %= M ); }

template <typename INT> inline constexpr INT& Residue998244353( INT& n ) noexcept { constexpr const uint trunc = ( 1 << 23 ) - 1; INT n_u = n >> 23; n &= trunc; INT n_uq = ( n_u / 7 ) / 17; n_u -= n_uq * 119; n += n_u << 23; return n < n_uq ? n += 998244353 - n_uq : n -= n_uq; }

using INT_TYPE_FOR_MOD = uint;

template <INT_TYPE_FOR_MOD M> class Mod;

template <INT_TYPE_FOR_MOD M>
class ConstantsForMod
{

  friend class Mod<M>;
  
private:
  ConstantsForMod() = delete;
  static constexpr const INT_TYPE_FOR_MOD g_memory_bound = 1000000;
  static constexpr const INT_TYPE_FOR_MOD g_memory_length = M < g_memory_bound ? M : g_memory_bound;

  static constexpr INT_TYPE_FOR_MOD g_M_minus = M - 1;
  static constexpr INT_TYPE_FOR_MOD g_M_minus_2 = M - 2;
  static constexpr INT_TYPE_FOR_MOD g_M_minus_2_neg = 2 - M;

};

#define DECLARATION_OF_COMPARISON_FOR_MOD( FUNC )			\
  inline constexpr bool operator FUNC( const Mod<M>& n ) const noexcept	\

#define DECLARATION_OF_ARITHMETIC_FOR_MOD( FUNC )			\
  inline constexpr Mod<M> operator FUNC( const Mod<M>& n ) const noexcept; \

#define DEFINITION_OF_COMPARISON_FOR_MOD( FUNC )			\
  template <INT_TYPE_FOR_MOD M> inline constexpr bool Mod<M>::operator FUNC( const Mod<M>& n ) const noexcept { return m_n FUNC n.m_n; } \

#define DEFINITION_OF_ARITHMETIC_FOR_MOD( FUNC )			\
  template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M> Mod<M>::operator FUNC( const Mod<M>& n ) const noexcept { return move( Mod<M>( *this ) FUNC ## = n ); } \
  template <INT_TYPE_FOR_MOD M , typename T> inline constexpr Mod<M> operator FUNC( T n0 , const Mod<M>& n1 ) noexcept { return move( Mod<M>( move( n0 ) ) FUNC ## = n1 ); } \

template <INT_TYPE_FOR_MOD M>
class Mod
{

protected:
  INT_TYPE_FOR_MOD m_n;

public:
  inline constexpr Mod() noexcept;
  inline constexpr Mod( const Mod<M>& n ) noexcept;
  inline constexpr Mod( Mod<M>&& n ) noexcept;
  template <typename T> inline constexpr Mod( T n ) noexcept;

  inline constexpr Mod<M>& operator=( Mod<M> n ) noexcept;
  inline constexpr Mod<M>& operator+=( const Mod<M>& n ) noexcept;
  inline constexpr Mod<M>& operator-=( const Mod<M>& n ) noexcept;
  inline constexpr Mod<M>& operator*=( const Mod<M>& n ) noexcept;
  inline Mod<M>& operator/=( const Mod<M>& n );
  // n>=0である場合のみサポート。計算量O(log n)で2^n倍する。
  inline constexpr Mod<M>& operator<<=( int n ) noexcept;
  // n>=0かつMが奇数である場合のみサポート。計算量O(n)で2^{-n}倍する。
  inline constexpr Mod<M>& operator>>=( int n ) noexcept;

  inline constexpr Mod<M>& operator++() noexcept;
  inline constexpr Mod<M> operator++( int ) noexcept;
  inline constexpr Mod<M>& operator--() noexcept;
  inline constexpr Mod<M> operator--( int ) noexcept;

  DECLARATION_OF_COMPARISON_FOR_MOD( == );
  DECLARATION_OF_COMPARISON_FOR_MOD( != );
  DECLARATION_OF_COMPARISON_FOR_MOD( < );
  DECLARATION_OF_COMPARISON_FOR_MOD( <= );
  DECLARATION_OF_COMPARISON_FOR_MOD( > );
  DECLARATION_OF_COMPARISON_FOR_MOD( >= );

  DECLARATION_OF_ARITHMETIC_FOR_MOD( + );
  DECLARATION_OF_ARITHMETIC_FOR_MOD( - );
  DECLARATION_OF_ARITHMETIC_FOR_MOD( * );
  DECLARATION_OF_ARITHMETIC_FOR_MOD( / );
  // n>=0である場合のみサポート。計算量O(log n)で2^n倍を返す。
  inline constexpr Mod<M> operator<<( int n ) const noexcept;
  // n>=0かつMが奇数である場合のみサポート。計算量O(n)で2^{-n}倍を返す。
  inline constexpr Mod<M> operator>>( int n ) const noexcept;

  inline constexpr Mod<M> operator-() const noexcept;
  // -1倍する。
  inline constexpr Mod<M>& SignInvert() noexcept;
  // Mが素数である場合のみサポート。-1乗する。
  inline Mod<M>& Invert();
  // Mが素数であるかexponent>=0である場合にのみサポート。exponent乗する。
  template <typename INT> inline constexpr Mod<M>& Power( INT exponent );
  // グローバルスコープでswapを定義するためのもの。
  inline constexpr void swap( Mod<M>& n ) noexcept;

  inline constexpr const INT_TYPE_FOR_MOD& Represent() const noexcept;
  // 0 <= n < Mの場合のみサポート。
  static inline constexpr Mod<M> Derepresent( const INT_TYPE_FOR_MOD& n ) noexcept;
  
  // Mが素数かつn < g_memory_lengthである場合のみサポート。
  static inline const Mod<M>& Inverse( const INT_TYPE_FOR_MOD& n ) noexcept;
  // n < g_memory_lengthである場合のみサポート。
  static inline const Mod<M>& Factorial( const INT_TYPE_FOR_MOD& n ) noexcept;
  // Mが素数かつn < g_memory_lengthである場合のみサポート。
  static inline const Mod<M>& FactorialInverse( const INT_TYPE_FOR_MOD& n ) noexcept;
  // Mが素数かつn < g_memory_lengthである場合のみサポート。
  static inline Mod<M> Combination( const INT_TYPE_FOR_MOD& n , const INT_TYPE_FOR_MOD& i ) noexcept;

  static inline const Mod<M>& zero() noexcept;
  static inline const Mod<M>& one() noexcept;

private:
  template <typename INT> inline constexpr Mod<M>& PositivePower( INT exponent ) noexcept;
  template <typename INT> inline constexpr Mod<M>& NonNegativePower( INT exponent ) noexcept;
  template <typename T> inline constexpr Mod<M>& Ref( T&& n ) noexcept;

  // 0 <= n < Mの場合のみサポート。
  static inline constexpr INT_TYPE_FOR_MOD& Normalise( INT_TYPE_FOR_MOD& n ) noexcept;

};

// Mが素数でありnが0でない場合にのみサポート。
template <INT_TYPE_FOR_MOD M> inline Mod<M> Inverse( const Mod<M>& n );
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M> Inverse_constexpr( Mod<M> n );

// Mが素数であるかexponent>=0である場合にのみサポート。
template <INT_TYPE_FOR_MOD M , typename T> inline constexpr Mod<M> Power( Mod<M> n , T exponent );

template <INT_TYPE_FOR_MOD M> inline constexpr void swap( Mod<M>& n0 , Mod<M>& n1 ) noexcept;

template <INT_TYPE_FOR_MOD M> inline string to_string( const Mod<M>& n ) noexcept;

template <INT_TYPE_FOR_MOD M , class Traits> inline basic_istream<char,Traits>& operator>>( basic_istream<char,Traits>& is , Mod<M>& n );
template <INT_TYPE_FOR_MOD M , class Traits> inline basic_ostream<char,Traits>& operator<<( basic_ostream<char,Traits>& os , const Mod<M>& n );

template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M>::Mod() noexcept : m_n() {}
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M>::Mod( const Mod<M>& n ) noexcept : m_n( n.m_n ) {}
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M>::Mod( Mod<M>&& n ) noexcept : m_n( move( n.m_n ) ) {}
template <INT_TYPE_FOR_MOD M> template <typename T> inline constexpr Mod<M>::Mod( T n ) noexcept : m_n( Residue<M>( move( n ) ) ) { static_assert( is_constructible_v<INT_TYPE_FOR_MOD,decay_t<T> > ); }

template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M>& Mod<M>::operator=( Mod<M> n ) noexcept { return Ref( m_n = move( n.m_n ) ); }

template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M>& Mod<M>::operator+=( const Mod<M>& n ) noexcept { return Ref( Normalise( m_n += n.m_n ) ); }
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M>& Mod<M>::operator-=( const Mod<M>& n ) noexcept { return Ref( m_n < n.m_n ? ( m_n += M ) -= n.m_n : m_n -= n.m_n ); }
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M>& Mod<M>::operator*=( const Mod<M>& n ) noexcept { return Ref( m_n = Residue<M>( ull( m_n ) * n.m_n ) ); }
template <> inline constexpr Mod<998244353>& Mod<998244353>::operator*=( const Mod<998244353>& n ) noexcept { ull m_n_copy = m_n; return Ref( m_n = move( ( m_n_copy *= n.m_n ) < 998244353 ? m_n_copy : Residue998244353( m_n_copy ) ) ); }

template <INT_TYPE_FOR_MOD M> inline Mod<M>& Mod<M>::operator/=( const Mod<M>& n ) { return operator*=( Mod<M>( n ).Invert() ); }
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M>& Mod<M>::operator<<=( int n ) noexcept { assert( n >= 0 ); return *this *= Derepresent( 2 ).NonNegativePower( move( n ) ); }
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M>& Mod<M>::operator>>=( int n ) noexcept { assert( n >=0 ); while( n-- > 0 ){ ( ( m_n & 1 ) == 0 ? m_n : m_n += M ) >>= 1; } return *this; }

template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M>& Mod<M>::operator++() noexcept { return Ref( m_n < ConstantsForMod<M>::g_M_minus ? ++m_n : m_n = 0 ); }
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M> Mod<M>::operator++( int ) noexcept { Mod<M> n{ *this }; operator++(); return n; }
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M>& Mod<M>::operator--() noexcept { return Ref( m_n == 0 ? m_n = ConstantsForMod<M>::g_M_minus : --m_n ); }
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M> Mod<M>::operator--( int ) noexcept { Mod<M> n{ *this }; operator--(); return n; }

DEFINITION_OF_COMPARISON_FOR_MOD( == );
DEFINITION_OF_COMPARISON_FOR_MOD( != );
DEFINITION_OF_COMPARISON_FOR_MOD( > );
DEFINITION_OF_COMPARISON_FOR_MOD( >= );
DEFINITION_OF_COMPARISON_FOR_MOD( < );
DEFINITION_OF_COMPARISON_FOR_MOD( <= );

DEFINITION_OF_ARITHMETIC_FOR_MOD( + );
DEFINITION_OF_ARITHMETIC_FOR_MOD( - );
DEFINITION_OF_ARITHMETIC_FOR_MOD( * );
DEFINITION_OF_ARITHMETIC_FOR_MOD( / );
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M> Mod<M>::operator<<( int n ) const noexcept { return move( Mod<M>( *this ) <<= n ); }
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M> Mod<M>::operator>>( int n ) const noexcept { return move( Mod<M>( *this ) >>= n ); }

template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M> Mod<M>::operator-() const noexcept { return move( Mod<M>( *this ).SignInvert() ); }
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M>& Mod<M>::SignInvert() noexcept { return Ref( m_n > 0 ? m_n = M - m_n : m_n ); }

template <INT_TYPE_FOR_MOD M> inline Mod<M>& Mod<M>::Invert() { assert( m_n != 0 ); INT_TYPE_FOR_MOD m_n_neg; return m_n < ConstantsForMod<M>::g_memory_length ? Ref( m_n = Inverse( m_n ).m_n ) : ( ( m_n_neg = M - m_n ) < ConstantsForMod<M>::g_memory_length ) ? Ref( m_n = M - Inverse( m_n_neg ).m_n ) : PositivePower( INT_TYPE_FOR_MOD( ConstantsForMod<M>::g_M_minus_2 ) ); }

template <INT_TYPE_FOR_MOD M> template <typename INT> inline constexpr Mod<M>& Mod<M>::PositivePower( INT exponent ) noexcept { Mod<M> power{ *this }; exponent--; while( exponent != 0 ){ ( exponent & 1 ) == 1 ? operator*=( power ) : *this; exponent >>= 1; power *= power; } return *this; }
template <INT_TYPE_FOR_MOD M> template <typename INT> inline constexpr Mod<M>& Mod<M>::NonNegativePower( INT exponent ) noexcept { return exponent == 0 ? Ref( m_n = 1 ) : Ref( PositivePower( move( exponent ) ) ); }
template <INT_TYPE_FOR_MOD M> template <typename INT> inline constexpr Mod<M>& Mod<M>::Power( INT exponent ) { bool neg = exponent < 0; assert( !( neg && m_n == 0 ) ); return neg ? PositivePower( move( exponent *= ConstantsForMod<M>::g_M_minus_2_neg ) ) : NonNegativePower( move( exponent ) ); }

template <INT_TYPE_FOR_MOD M> inline constexpr void Mod<M>::swap( Mod<M>& n ) noexcept { std::swap( m_n , n.m_n ); }

template <INT_TYPE_FOR_MOD M> inline const Mod<M>& Mod<M>::Inverse( const INT_TYPE_FOR_MOD& n ) noexcept { static Mod<M> memory[ConstantsForMod<M>::g_memory_length] = { zero() , one() }; static INT_TYPE_FOR_MOD length_curr = 2; while( length_curr <= n ){ memory[length_curr].m_n = M - memory[M % length_curr].m_n * ull( M / length_curr ) % M; length_curr++; } return memory[n]; }
template <INT_TYPE_FOR_MOD M> inline const Mod<M>& Mod<M>::Factorial( const INT_TYPE_FOR_MOD& n ) noexcept { static Mod<M> memory[ConstantsForMod<M>::g_memory_length] = { one() , one() }; static INT_TYPE_FOR_MOD length_curr = 2; while( length_curr <= n ){ ( memory[length_curr] = memory[length_curr - 1] ) *= length_curr; length_curr++; } return memory[n]; }
template <INT_TYPE_FOR_MOD M> inline const Mod<M>& Mod<M>::FactorialInverse( const INT_TYPE_FOR_MOD& n ) noexcept { static Mod<M> memory[ConstantsForMod<M>::g_memory_length] = { one() , one() }; static INT_TYPE_FOR_MOD length_curr = 2; while( length_curr <= n ){ ( memory[length_curr] = memory[length_curr - 1] ) *= Inverse( length_curr ); length_curr++; } return memory[n]; }
template <INT_TYPE_FOR_MOD M> inline Mod<M> Mod<M>::Combination( const INT_TYPE_FOR_MOD& n , const INT_TYPE_FOR_MOD& i ) noexcept { return Factorial( n ) * FactorialInverse( i ) * FactorialInverse( n - i ); }

template <INT_TYPE_FOR_MOD M> inline constexpr const INT_TYPE_FOR_MOD& Mod<M>::Represent() const noexcept { return m_n; }
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M> Mod<M>::Derepresent( const INT_TYPE_FOR_MOD& n ) noexcept { Mod<M> n_copy{}; n_copy.m_n = n; return n_copy; }

template <INT_TYPE_FOR_MOD M> inline const Mod<M>& Mod<M>::zero() noexcept { static constexpr const Mod<M> z{}; return z; }
template <INT_TYPE_FOR_MOD M> inline const Mod<M>& Mod<M>::one() noexcept { static constexpr const Mod<M> o{ Derepresent( 1 ) }; return o; }

template <INT_TYPE_FOR_MOD M> template <typename T> inline constexpr Mod<M>& Mod<M>::Ref( T&& n ) noexcept { return *this; }
template <INT_TYPE_FOR_MOD M> inline constexpr INT_TYPE_FOR_MOD& Mod<M>::Normalise( INT_TYPE_FOR_MOD& n ) noexcept { return n < M ? n : n -= M; }

template <INT_TYPE_FOR_MOD M> inline Mod<M> Inverse( const Mod<M>& n ) { return move( Mod<M>( n ).Invert() ); }
template <INT_TYPE_FOR_MOD M> inline constexpr Mod<M> Inverse_constrexpr( Mod<M> n ) noexcept { return move( n.NonNegativePower( M - 2 ) ); }

template <INT_TYPE_FOR_MOD M , typename INT> inline constexpr Mod<M> Power( Mod<M> n , INT exponent ) { return move( n.Power( move( exponent ) ) ); }

template <INT_TYPE_FOR_MOD M> inline constexpr void swap( Mod<M>& n0 , Mod<M>& n1 ) noexcept { n0.swap( n1 ); }

template <INT_TYPE_FOR_MOD M> inline string to_string( const Mod<M>& n ) noexcept { return to_string( n.Represent() ) + " + " + to_string( M ) + "Z"; }

template <INT_TYPE_FOR_MOD M , class Traits> inline basic_istream<char,Traits>& operator>>( basic_istream<char,Traits>& is , Mod<M>& n ) { ll m; is >> m; n = m; return is; }
template <INT_TYPE_FOR_MOD M , class Traits> inline basic_ostream<char,Traits>& operator<<( basic_ostream<char,Traits>& os , const Mod<M>& n ) { return os << n.Represent(); }

// AAA ライブラリは以上に挿入する。

#define INCLUDE_MAIN
#include __FILE__

#else // INCLUDE_LIBRARY

#ifdef DEBUG
  #define _GLIBCXX_DEBUG
  #define SIGNAL signal( SIGABRT , &AlertAbort );
  #define ASSERT( A , MIN , MAX ) CERR( "ASSERTチェック： " , ( MIN ) , ( ( MIN ) <= A ? "<=" : ">" ) , A , ( A <= ( MAX ) ? "<=" : ">" ) , ( MAX ) ); assert( ( MIN ) <= A && A <= ( MAX ) )
  #define CERR( ... ) VariadicCout( cerr , __VA_ARGS__ ) << endl
  #define COUT( ... ) VariadicCout( cout << "出力： " , __VA_ARGS__ ) << endl
  #define CERR_A( A , N ) OUTPUT_ARRAY( cerr , A , N ) << endl
  #define COUT_A( A , N ) cout << "出力： "; OUTPUT_ARRAY( cout , A , N ) << endl
  #define CERR_ITR( A ) OUTPUT_ITR( cerr , A ) << endl
  #define COUT_ITR( A ) cout << "出力： "; OUTPUT_ITR( cout , A ) << endl
#else
  #pragma GCC optimize ( "O3" )
  #pragma GCC optimize ( "unroll-loops" )
  #pragma GCC target ( "sse4.2,fma,avx2,popcnt,lzcnt,bmi2" )
  #define SIGNAL 
  #define ASSERT( A , MIN , MAX ) assert( ( MIN ) <= A && A <= ( MAX ) )
  #define CERR( ... ) 
  #define COUT( ... ) VariadicCout( cout , __VA_ARGS__ ) << ENDL
  #define CERR_A( A , N ) 
  #define COUT_A( A , N ) OUTPUT_ARRAY( cout , A , N ) << ENDL
  #define CERR_ITR( A ) 
  #define COUT_ITR( A ) OUTPUT_ITR( cout , A ) << ENDL
#endif
#ifdef REACTIVE
  #define ENDL endl
#else
  #define ENDL "\n"
#endif
#ifdef USE_GETLINE
  #define SET_LL( A ) { GETLINE( A ## _str ); A = stoll( A ## _str ); }
  #define GETLINE_SEPARATE( SEPARATOR , ... ) string __VA_ARGS__; VariadicGetline( cin , SEPARATOR , __VA_ARGS__ )
  #define GETLINE( ... ) GETLINE_SEPARATE( '\n' , __VA_ARGS__ )
#else
  #define SET_LL( A ) cin >> A
  #define CIN( LL , ... ) LL __VA_ARGS__; VariadicCin( cin , __VA_ARGS__ )
  #define SET_A( A , N ) FOR( VARIABLE_FOR_SET_A , 0 , N ){ cin >> A[VARIABLE_FOR_SET_A]; }
  #define CIN_A( LL , A , N ) vector<LL> A( N ); SET_A( A , N );
#endif
#include <bits/stdc++.h>
using namespace std;
#define REPEAT_MAIN( BOUND ) int main(){ ios_base::sync_with_stdio( false ); cin.tie( nullptr ); SIGNAL; CEXPR( int , bound_test_case_num , BOUND ); int test_case_num = 1; if constexpr( bound_test_case_num > 1 ){ CERR( "テストケースの個数を入力してください。" ); SET_ASSERT( test_case_num , 1 , bound_test_case_num ); } REPEAT( test_case_num ){ if constexpr( bound_test_case_num > 1 ){ CERR( "testcase " , VARIABLE_FOR_REPEAT_test_case_num , ":" ); } Solve(); CERR( "" ); } CHECK_REDUNDANT_INPUT; }
#define START_WATCH chrono::system_clock::time_point watch = chrono::system_clock::now()
#define CURRENT_TIME static_cast<double>( chrono::duration_cast<chrono::microseconds>( chrono::system_clock::now() - watch ).count() / 1000.0 )
#define CHECK_WATCH( TL_MS ) ( CURRENT_TIME < TL_MS - 100.0 )
#define CEXPR( LL , BOUND , VALUE ) constexpr LL BOUND = VALUE
#define SET_ASSERT( A , MIN , MAX ) SET_LL( A ); ASSERT( A , MIN , MAX )
#define SET_A_ASSERT( A , N , MIN , MAX ) FOR( VARIABLE_FOR_SET_A , 0 , N ){ SET_ASSERT( A[VARIABLE_FOR_SET_A] , MIN , MAX ); }
#define CIN_ASSERT( A , MIN , MAX ) decldecay_t( MAX ) A; SET_ASSERT( A , MIN , MAX )
#define CIN_A_ASSERT( A , N , MIN , MAX ) vector<decldecay_t( MAX )> A( N ); SET_A_ASSERT( A , N , MIN , MAX )
#define FOR( VAR , INITIAL , FINAL_PLUS_ONE ) for( decldecay_t( FINAL_PLUS_ONE ) VAR = INITIAL ; VAR < FINAL_PLUS_ONE ; VAR ++ )
#define FOREQ( VAR , INITIAL , FINAL ) for( decldecay_t( FINAL ) VAR = INITIAL ; VAR <= FINAL ; VAR ++ )
#define FOREQINV( VAR , INITIAL , FINAL ) for( decldecay_t( INITIAL ) VAR = INITIAL ; VAR + 1 > FINAL ; VAR -- )
#define AUTO_ITR( ARRAY ) auto itr_ ## ARRAY = ARRAY .begin() , end_ ## ARRAY = ARRAY .end()
#define FOR_ITR( ARRAY ) for( AUTO_ITR( ARRAY ) , itr = itr_ ## ARRAY ; itr_ ## ARRAY != end_ ## ARRAY ; itr_ ## ARRAY ++ , itr++ )
#define REPEAT( HOW_MANY_TIMES ) FOR( VARIABLE_FOR_REPEAT_ ## HOW_MANY_TIMES , 0 , HOW_MANY_TIMES )
#define SET_PRECISION( DECIMAL_DIGITS ) cout << fixed << setprecision( DECIMAL_DIGITS )
#define OUTPUT_ARRAY( OS , A , N ) FOR( VARIABLE_FOR_OUTPUT_ARRAY , 0 , N ){ OS << A[VARIABLE_FOR_OUTPUT_ARRAY] << (VARIABLE_FOR_OUTPUT_ARRAY==N-1?"":" "); } OS
#define OUTPUT_ITR( OS , A ) { auto ITERATOR_FOR_OUTPUT_ITR = A.begin() , END_FOR_OUTPUT_ITR = A.end(); bool VARIABLE_FOR_OUTPUT_ITR = ITERATOR_FOR_COUT_ITR != END_FOR_COUT_ITR; while( VARIABLE_FOR_OUTPUT_ITR ){ OS << *ITERATOR_FOR_COUT_ITR; ( VARIABLE_FOR_OUTPUT_ITR = ++ITERATOR_FOR_COUT_ITR != END_FOR_COUT_ITR ) ? OS : OS << " "; } } OS
#define RETURN( ... ) COUT( __VA_ARGS__ ); return

// 型のエイリアス
#define decldecay_t( VAR ) decay_t<decltype( VAR )>
template <typename F , typename...Args> using ret_t = decltype( declval<F>()( declval<Args>()... ) );
template <typename T> using inner_t = typename T::type;
using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using lld = __float128;
template <typename INT> using T2 = pair<INT,INT>;
template <typename INT> using T3 = tuple<INT,INT,INT>;
template <typename INT> using T4 = tuple<INT,INT,INT,INT>;
using path = pair<int,ll>;

// 入出力用
template <class Traits> inline basic_istream<char,Traits>& VariadicCin( basic_istream<char,Traits>& is ) { return is; }
template <class Traits , typename Arg , typename... ARGS> inline basic_istream<char,Traits>& VariadicCin( basic_istream<char,Traits>& is , Arg& arg , ARGS&... args ) { return VariadicCin( is >> arg , args... ); }
template <class Traits> inline basic_istream<char,Traits>& VariadicGetline( basic_istream<char,Traits>& is , const char& separator ) { return is; }
template <class Traits , typename Arg , typename... ARGS> inline basic_istream<char,Traits>& VariadicGetline( basic_istream<char,Traits>& is , const char& separator , Arg& arg , ARGS&... args ) { return VariadicGetline( getline( is , arg , separator ) , separator , args... ); }
template <class Traits , typename Arg> inline basic_ostream<char,Traits>& operator<<( basic_ostream<char,Traits>& os , const vector<Arg>& arg ) { auto begin = arg.begin() , end = arg.end(); auto itr = begin; while( itr != end ){ ( itr == begin ? os : os << " " ) << *itr; itr++; } return os; }
template <class Traits , typename Arg1 , typename Arg2> inline basic_ostream<char,Traits>& operator<<( basic_ostream<char,Traits>& os , const pair<Arg1,Arg2>& arg ) { return os << arg.first << " " << arg.second; }
template <class Traits , typename Arg> inline basic_ostream<char,Traits>& VariadicCout( basic_ostream<char,Traits>& os , const Arg& arg ) { return os << arg; }
template <class Traits , typename Arg1 , typename Arg2 , typename... ARGS> inline basic_ostream<char,Traits>& VariadicCout( basic_ostream<char,Traits>& os , const Arg1& arg1 , const Arg2& arg2 , const ARGS&... args ) { return VariadicCout( os << arg1 << " " , arg2 , args... ); }

// デバッグ用
#ifdef DEBUG
  inline void AlertAbort( int n ) { CERR( "abort関数が呼ばれました。assertマクロのメッセージが出力されていない場合はオーバーフローの有無を確認をしてください。" ); }
  void AutoCheck( bool& auto_checked );
#endif

// 入力フォーマットチェック用
// 1行中の変数の個数をSEPARATOR区切りで確認
#define GETLINE_COUNT( S , VARIABLE_NUMBER , SEPARATOR ) GETLINE( S ); int VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S = 0; int VARIABLE_FOR_SIZE_FOR_GETLINE_FOR_ ## S  = S.size(); { int size = S.size(); int count = 0; for( int i = 0 ; i < size ; i++ ){ if( S.substr( i , 1 ) == SEPARATOR ){ count++; } } assert( count + 1 == VARIABLE_NUMBER ); }
// 余計な入力の有無を確認
#ifdef DEBUG
  #define CHECK_REDUNDANT_INPUT 
#else
  #ifdef USE_GETLINE
    #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 )
  #else
    #define CHECK_REDUNDANT_INPUT string VARIABLE_FOR_CHECK_REDUNDANT_INPUT = ""; cin >> VARIABLE_FOR_CHECK_REDUNDANT_INPUT; assert( VARIABLE_FOR_CHECK_REDUNDANT_INPUT == "" ); assert( ! cin )
  #endif
#endif
// |N| <= BOUNDを満たすNをSから構築
#define STOI( S , N , BOUND ) decldecay_t( BOUND ) N = 0; { bool VARIABLE_FOR_POSITIVITY_FOR_GETLINE = true; assert( VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S < VARIABLE_FOR_SIZE_FOR_GETLINE_FOR_ ## S ); if( S.substr( VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S , 1 ) == "-" ){ VARIABLE_FOR_POSITIVITY_FOR_GETLINE = false; VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S ++; assert( VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S < VARIABLE_FOR_SIZE_FOR_GETLINE_FOR_ ## S ); } assert( S.substr( VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S , 1 ) != " " ); string VARIABLE_FOR_LETTER_FOR_GETLINE{}; int VARIABLE_FOR_DIGIT_FOR_GETLINE{}; while( VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S < VARIABLE_FOR_SIZE_FOR_GETLINE_FOR_ ## S ? ( VARIABLE_FOR_LETTER_FOR_GETLINE = S.substr( VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S , 1 ) ) != " " : false ){ VARIABLE_FOR_DIGIT_FOR_GETLINE = stoi( VARIABLE_FOR_LETTER_FOR_GETLINE ); assert( N < BOUND / 10 ? true : N == BOUND / 10 && VARIABLE_FOR_DIGIT_FOR_GETLINE <= BOUND % 10 ); N = N * 10 + VARIABLE_FOR_DIGIT_FOR_GETLINE; VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S ++; } if( ! VARIABLE_FOR_POSITIVITY_FOR_GETLINE ){ N *= -1; } if( VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S < VARIABLE_FOR_SIZE_FOR_GETLINE_FOR_ ## S ){ VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S ++; } }
// SをSEPARATORで区切りTを構築
#define SEPARATE( S , T , SEPARATOR ) string T{}; { assert( VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S < VARIABLE_FOR_SIZE_FOR_GETLINE_FOR_ ## S ); int VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S_prev = VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S; assert( S.substr( VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S , 1 ) != SEPARATOR ); string VARIABLE_FOR_LETTER_FOR_GETLINE{}; while( VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S < VARIABLE_FOR_SIZE_FOR_GETLINE_FOR_ ## S ? ( VARIABLE_FOR_LETTER_FOR_GETLINE = S.substr( VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S , 1 ) ) != SEPARATOR : false ){ VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S ++; } T = S.substr( VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S_prev , VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S - VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S_prev ); if( VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S < VARIABLE_FOR_SIZE_FOR_GETLINE_FOR_ ## S ){ VARIABLE_FOR_INDEX_FOR_GETLINE_FOR_ ## S ++; } }

#define INCLUDE_LIBRARY
#include __FILE__

#endif // INCLUDE_LIBRARY

#endif // INCLUDE_MAIN
yukicoder

結果

ソースコード
