結果
| 問題 | No.2083 OR Subset |
| ユーザー |
👑  p-adic
|
| 提出日時 | 2024-03-12 11:15:42 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 639 ms / 3,000 ms |
| コード長 | 36,617 bytes |
| コンパイル時間 | 6,729 ms |
| コンパイル使用メモリ | 429,004 KB |
| 実行使用メモリ | 198,912 KB |
| 最終ジャッジ日時 | 2024-09-29 22:14:38 |
| 合計ジャッジ時間 | 15,032 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge5 |
（要ログイン）
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 | 151 ms
101,212 KB |
| testcase_01 | AC | 151 ms
101,248 KB |
| testcase_02 | AC | 150 ms
101,176 KB |
| testcase_03 | AC | 429 ms
153,088 KB |
| testcase_04 | AC | 292 ms
129,744 KB |
| testcase_05 | AC | 612 ms
189,568 KB |
| testcase_06 | AC | 262 ms
126,464 KB |
| testcase_07 | AC | 163 ms
103,288 KB |
| testcase_08 | AC | 166 ms
104,832 KB |
| testcase_09 | AC | 397 ms
152,832 KB |
| testcase_10 | AC | 302 ms
134,244 KB |
| testcase_11 | AC | 230 ms
120,448 KB |
| testcase_12 | AC | 198 ms
112,904 KB |
| testcase_13 | AC | 638 ms
197,760 KB |
| testcase_14 | AC | 619 ms
195,072 KB |
| testcase_15 | AC | 618 ms
195,968 KB |
| testcase_16 | AC | 633 ms
198,016 KB |
| testcase_17 | AC | 639 ms
197,888 KB |
| testcase_18 | AC | 155 ms
101,320 KB |
| testcase_19 | AC | 634 ms
198,912 KB |
ソースコード
#ifndef INCLUDE_MODE
#define INCLUDE_MODE
// #define REACTIVE
// #define USE_GETLINE
#endif
#ifdef INCLUDE_MAIN
IN VO Solve()
{
DEXPR( int , bound_N , 5000 , 100 );
CIN_ASSERT( N , 1 , bound_N );
SecondStirlingNumberCalculator<MP,bound_N+1> ssn{};
MP overlapping[N+1][N+1] = {};
overlapping[0][1] = MP::one();
overlapping[1][1] = MP( 2 );
FOREQ( j , 2 , N ){
overlapping[j][1] = overlapping[j-1][1] * overlapping[1][1];
}
FOREQ( j , 0 , N ){
auto& overlapping_j = overlapping[j];
overlapping_j[0] = MP::one();
overlapping_j[1] -= MP::Derepresent( j );
FOREQ( i , 2 , N ){
overlapping_j[i] = overlapping_j[i-1] * overlapping_j[1];
}
}
MP answer{};
FOREQ( i , 0 , N ){
FOREQ( j , 0 , i ){
answer += ssn.CountDisjointCover( N , i , j ) * overlapping[j][N-i];
}
}
RETURN( answer );
}
REPEAT_MAIN(1);
#else // INCLUDE_MAIN
#ifdef INCLUDE_SUB
// COMPAREに使用。圧縮時は削除する。
ll Naive( int N , int M , int K )
{
ll answer = N + M + K;
return answer;
}
// COMPAREに使用。圧縮時は削除する。
ll Answer( ll N , ll M , ll K )
{
// START_WATCH;
ll answer = N + M + K;
// // TLに準じる乱択や全探索。デフォルトの猶予は100.0[ms]。
// CEXPR( double , TL , 2000.0 );
// while( CHECK_WATCH( TL ) ){
// }
return answer;
}
// 圧縮時は中身だけ削除する。
IN VO Experiment()
{
// CEXPR( int , bound , 10 );
// FOREQ( N , 0 , bound ){
// FOREQ( M , 0 , bound ){
// FOREQ( K , 0 , bound ){
// COUT( N , M , K , ":" , Naive( N , M , K ) );
// }
// }
// // cout << Naive( N ) << ",\n"[N==bound];
// }
}
// 圧縮時は中身だけ削除する。
IN VO SmallTest()
{
// CEXPR( int , bound , 10 );
// FOREQ( N , 0 , bound ){
// FOREQ( M , 0 , bound ){
// FOREQ( K , 0 , bound ){
// COMPARE( N , M , K );
// }
// }
// // COMPARE( N );
// }
}
#define INCLUDE_MAIN
#include __FILE__
#else // INCLUDE_SUB
#ifdef INCLUDE_LIBRARY
/*
C-x 3 C-x o C-x C-fによるファイル操作用
BFS (5KB)
c:/Users/user/Documents/Programming/Mathematics/Geometry/Graph/BreadthFirstSearch/compress.txt
CoordinateCompress (3KB)
c:/Users/user/Documents/Programming/Mathematics/SetTheory/DirectProduct/CoordinateCompress/compress.txt
DFSOnTree (11KB)
c:/Users/user/Documents/Programming/Mathematics/Geometry/Graph/DepthFirstSearch/Tree/a.hpp
Divisor (4KB)
c:/Users/user/Documents/Programming/Mathematics/Arithmetic/Prime/Divisor/compress.txt
IntervalAddBIT (9KB)
c:/Users/user/Documents/Programming/Mathematics/SetTheory/DirectProduct/AffineSpace/BIT/IntervalAdd/compress.txt
Polynomial (21KB)
c:/Users/user/Documents/Programming/Mathematics/Polynomial/compress.txt
UnionFind (3KB)
c:/Users/user/Documents/Programming/Mathematics/Geometry/Graph/UnionFindForest/compress.txt
*/
// VVV 常設でないライブラリは以下に挿入する。
#define RP Represent
#define DeRP Derepresent
CEXPR(int,P,998244353);
TE <uint M,TY INT> CE INT RS(INT n)NE{RE MO(n < 0?((((++n)*= -1)%= M)*= -1)+= M - 1:n < INT(M)?n:n %= M);}
#define DC_OF_CM_FOR_MN(OPR)CE bool OP OPR(CO MN<M>& n)CO NE
#define DC_OF_AR_FOR_MN(OPR)IN MN<M> OP OPR(MN<M> n)CO NE;
#define DF_OF_CM_FOR_MN(OPR)TE <uint M> CE bool MN<M>::OP OPR(CO MN<M>& n)CO NE{RE m_n OPR n.m_n;}
#define DF_OF_AR_FOR_MN(OPR,LEFT,OPR2)TE <uint M> IN MN<M> MN<M>::OP OPR(MN<M> n)CO NE{RE MO(LEFT OPR2 ## = *TH);}TE <uint M,TY T> IN MN<M> OP OPR(T n0,CO MN<M>& n1)NE{RE MO(MN<M>(MO(n0))OPR ## = n1);}
TE <uint M>CL MN{PU:uint m_n;CE MN()NE;CE MN(CO MN<M>& n)NE;CE MN(MN<M>&& n)NE;TE <TY T> CE MN(T n)NE;CE MN<M>& OP=(MN<M> n)NE;CE MN<M>& OP+=(CO MN<M>& n)NE;CE MN<M>& OP-=(CO MN<M>& n)NE;CE MN<M>& OP*=(CO MN<M>& n)NE;IN MN<M>& OP/=(MN<M> n);TE <TY INT> CE MN<M>& OP<<=(INT n);TE <TY INT> CE MN<M>& OP>>=(INT n);CE MN<M>& OP++()NE;CE MN<M> OP++(int)NE;CE MN<M>& OP--()NE;CE MN<M> OP--(int)NE;DC_OF_CM_FOR_MN(==);DC_OF_CM_FOR_MN(!=);DC_OF_AR_FOR_MN(+);DC_OF_AR_FOR_MN(-);DC_OF_AR_FOR_MN(*);DC_OF_AR_FOR_MN(/);TE <TY INT> CE MN<M> OP<<(INT n)CO;TE <TY INT> CE MN<M> OP>>(INT n)CO;CE MN<M> OP-()CO NE;CE MN<M>& SignInvert()NE;CE MN<M>& Invert();TE <TY INT> CE MN<M>& PW(INT EX);CE VO swap(MN<M>& n)NE;CE uint RP()CO NE;ST CE MN<M> DeRP(CO uint& n)NE;ST IN CO MN<M>& Inverse(CO uint& n);ST IN CO MN<M>& Factorial(CO uint& n);ST IN CO MN<M>& FactorialInverse(CO uint& n);ST IN MN<M> Combination(CO uint& n,CO uint& i);ST IN CO MN<M>& zero()NE;ST IN CO MN<M>& one()NE;ST IN CO MN<M>& two()NE;ST CE uint Form(CO uint& n)NE;ST CE ull& Reduction(ull& n)NE;ST CE ull& ReducedMU(ull& n,CO uint& m)NE;ST CE uint BaseSquareTruncation(uint& n)NE;TE <TY INT> CE MN<M>& PositivePW(INT EX)NE;TE <TY INT> CE MN<M>& NonNegativePW(INT EX)NE;TE <TY T> CE MN<M>& Ref(T&& n)NE;ST CE uint& Normalise(uint& n)NE;};TE <uint M>CL COantsForMN{PU:COantsForMN()= delete;ST CE CO bool g_even =((M & 1)== 0);ST CE CO uint g_memory_bound =
#ifdef DEBUG
1e3;
#else
1e6;
#endif
ST CE CO uint g_memory_LE = M < g_memory_bound?M:g_memory_bound;ST CE uint g_M_minus_2 = M - 2;ST CE ull MNBasePW(ull&& EX)NE;ST CE CO int g_MN_digit = 32;ST CE CO ull g_MN_base = ull(1)<< g_MN_digit;ST CE CO uint g_MN_base_minus = uint(g_MN_base - 1);ST CE CO uint g_MN_digit_half =(g_MN_digit + 1)>> 1;ST CE CO uint g_MN_base_sqrt_minus =(1 << g_MN_digit_half)- 1;ST CE CO uint g_MN_M_neg_inverse = uint((g_MN_base - MNBasePW((ull(1)<<(g_MN_digit - 1))- 1))& g_MN_base_minus);ST CE CO uint g_MN_base_mod = uint(g_MN_base % M);ST CE CO uint g_MN_base_square_mod = uint(((g_MN_base % M)*(g_MN_base % M))% M);};
TE <uint M> CE ull COantsForMN<M>::MNBasePW(ull&& EX)NE{ull prod = 1;ull PW = M;WH(EX != 0){(EX & 1)== 1?(prod *= PW)&= g_MN_base_minus:prod;EX >>= 1;(PW *= PW)&= g_MN_base_minus;}RE prod;}TE <uint M> CE MN<M>::MN()NE:m_n(){ST_AS(!COantsForMN<M>::g_even);}TE <uint M> CE MN<M>::MN(CO MN<M>& n)NE:m_n(n.m_n){}TE <uint M> CE MN<M>::MN(MN<M>&& n)NE:m_n(MO(n.m_n)){}TE <uint M> TE <TY T> CE MN<M>::MN(T n)NE:m_n(Form(RS<M>(MO(n)))){ST_AS(!COantsForMN<M>::g_even && is_COructible_v<uint,decay_t<T> >);}TE <uint M> CE MN<M>& MN<M>::OP=(MN<M> n)NE{RE Ref(m_n = MO(n.m_n));}TE <uint M> CE MN<M>& MN<M>::OP+=(CO MN<M>& n)NE{RE Ref(Normalise(m_n += n.m_n));}TE <uint M> CE MN<M>& MN<M>::OP-=(CO MN<M>& n)NE{RE Ref(m_n < n.m_n?(m_n += M)-= n.m_n:m_n -= n.m_n);}TE <uint M> CE MN<M>& MN<M>::OP*=(CO MN<M>& n)NE{ull m_n_copy = m_n;RE Ref(m_n = MO(ReducedMU(m_n_copy,n.m_n)));}TE <uint M> IN MN<M>& MN<M>::OP/=(MN<M> n){RE OP*=(MN<M>(n).Invert());}TE <uint M> TE <TY INT> CE MN<M>& MN<M>::OP<<=(INT n){RE AS(n >= 0);RE *TH *= MN<M>(two()).NonNegativePW(MO(n));}TE <uint M> TE <TY INT> CE MN<M>& MN<M>::OP>>=(INT n){AS(n >=0);WH(n-- > 0){((m_n & 1)== 0?m_n:m_n += M)>>= 1;}RE *TH;}TE <uint M> CE MN<M>& MN<M>::OP++()NE{RE Ref(Normalise(m_n += COantsForMN<M>::g_MN_base_mod));}TE <uint M> CE MN<M> MN<M>::OP++(int)NE{MN<M> n{*TH};OP++();RE n;}TE <uint M> CE MN<M>& MN<M>::OP--()NE{RE Ref((m_n < COantsForMN<M>::g_MN_base_mod?m_n += M:m_n)-= COantsForMN<M>::g_MN_base_mod);}TE <uint M> CE MN<M> MN<M>::OP--(int)NE{MN<M> n{*TH};OP--();RE n;}DF_OF_CM_FOR_MN(==);DF_OF_CM_FOR_MN(!=);DF_OF_AR_FOR_MN(+,n,+);DF_OF_AR_FOR_MN(-,n.SignInvert(),+);DF_OF_AR_FOR_MN(*,n,*);DF_OF_AR_FOR_MN(/,n.Ivert(),*);TE <uint M> TE <TY INT> CE MN<M> MN<M>::OP<<(INT n)CO{RE MO(MN<M>(*TH)<<= n);}TE <uint M> TE <TY INT> CE MN<M> MN<M>::OP>>(INT n)CO{RE MO(MN<M>(*TH)>>= n);}TE <uint M> CE MN<M> MN<M>::OP-()CO NE{RE MO(MN<M>(*TH).SignInvert());}TE <uint M> CE MN<M>& MN<M>::SignInvert()NE{RE Ref(m_n > 0?m_n = M - m_n:m_n);}TE <uint M> CE MN<M>& MN<M>::Invert(){AS(m_n != 0);RE PositivePW(uint(COantsForMN<M>::g_M_minus_2));}TE <uint M> TE <TY INT> CE MN<M>& MN<M>::PositivePW(INT EX)NE{MN<M> PW{*TH};(--EX)%= COantsForMN<M>::g_M_minus_2;WH(EX != 0){(EX & 1)== 1?*TH *= PW:*TH;EX >>= 1;PW *= PW;}RE *TH;}TE <uint M> TE <TY INT> CE MN<M>& MN<M>::NonNegativePW(INT EX)NE{RE EX == 0?Ref(m_n = COantsForMN<M>::g_MN_base_mod):PositivePW(MO(EX));}TE <uint M> TE <TY INT> CE MN<M>& MN<M>::PW(INT EX){bool neg = EX < 0;AS(!(neg && m_n == 0));RE neg?PositivePW(MO(EX *= COantsForMN<M>::g_M_minus_2_neg)):NonNegativePW(MO(EX));}TE <uint M> CE VO MN<M>::swap(MN<M>& n)NE{std::swap(m_n,n.m_n);}TE <uint M> CE uint MN<M>::RP()CO NE{ull m_n_copy = m_n;RE MO(Reduction(m_n_copy));}TE <uint M> CE MN<M> MN<M>::DeRP(CO uint& n)NE{MN<M> n_copy{};n_copy.m_n = Form(n);RE n_copy;}TE <uint M> IN CO MN<M>& MN<M>::Inverse(CO uint& n){AS(n < COantsForMN<M>::g_memory_LE);ST uint memory0[COantsForMN<M>::g_memory_LE]={0,1};ST MN<M> memory1[COantsForMN<M>::g_memory_LE]={zero(),one()};ST uint LE_curr = 2;WH(LE_curr <= n){memory1[LE_curr].m_n = Form(memory0[LE_curr]= M - memory0[M % LE_curr]* ull(M / LE_curr)% M);LE_curr++;}RE memory1[n];}TE <uint M> IN CO MN<M>& MN<M>::Factorial(CO uint& n){AS(n < COantsForMN<M>::g_memory_LE);ST MN<M> memory[COantsForMN<M>::g_memory_LE]={one(),one()};ST uint LE_curr = 2;ST MN<M> val_curr{one()};ST MN<M> val_last{one()};WH(LE_curr <= n){memory[LE_curr++]= val_curr *= ++val_last;}RE memory[n];}TE <uint M> IN CO MN<M>& MN<M>::FactorialInverse(CO uint& n){ST MN<M> memory[COantsForMN<M>::g_memory_LE]={one(),one()};ST uint LE_curr = 2;ST MN<M> val_curr{one()};ST MN<M> val_last{one()};WH(LE_curr <= n){memory[LE_curr]= val_curr *= Inverse(LE_curr);LE_curr++;}RE memory[n];}TE <uint M> IN MN<M> MN<M>::Combination(CO uint& n,CO uint& i){RE i <= n?Factorial(n)* FactorialInverse(i)* FactorialInverse(n - i):zero();}TE <uint M> IN CO MN<M>& MN<M>::zero()NE{ST CE CO MN<M> z{};RE z;}TE <uint M> IN CO MN<M>& MN<M>::one()NE{ST CE CO MN<M> o{1};RE o;}TE <uint M> IN CO MN<M>& MN<M>::two()NE{ST CE CO MN<M> t{2};RE t;}TE <uint M> CE uint MN<M>::Form(CO uint& n)NE{ull n_copy = n;RE uint(MO(Reduction(n_copy *= COantsForMN<M>::g_MN_base_square_mod)));}TE <uint M> CE ull& MN<M>::Reduction(ull& n)NE{ull n_sub = n & COantsForMN<M>::g_MN_base_minus;RE((n +=((n_sub *= COantsForMN<M>::g_MN_M_neg_inverse)&= COantsForMN<M>::g_MN_base_minus)*= M)>>= COantsForMN<M>::g_MN_digit)< M?n:n -= M;}TE <uint M> CE ull& MN<M>::ReducedMU(ull& n,CO uint& m)NE{RE Reduction(n *= m);}TE <uint M> CE uint MN<M>::BaseSquareTruncation(uint& n)NE{CO uint n_u = n >> COantsForMN<M>::g_MN_digit_half;n &= COantsForMN<M>::g_MN_base_sqrt_minus;RE n_u;}TE <uint M> TE <TY T> CE MN<M>& MN<M>::Ref(T&& n)NE{RE *TH;}TE <uint M> CE uint& MN<M>::Normalise(uint& n)NE{RE n < M?n:n -= M;}TE <uint M> CE MN<M> Inverse(CO MN<M>& n){RE MO(MN<M>(n).Invert());}TE <uint M,TY INT> CE MN<M> PW(MN<M> n,INT EX){RE MO(n.PW(MO(EX)));}TE <uint M> CE VO swap(MN<M>& n0,MN<M>& n1)NE{n0.swap(n1);}TE <uint M> IN string to_string(CO MN<M>& n)NE{RE to_string(n.RP())+ to_string(M)+ "Z";}TE <uint M,CL Traits> IN basic_istream<char,Traits>& OP>>(basic_istream<char,Traits>& is,MN<M>& n){ll m;is >> m;n = m;RE is;}TE<uint M,CL Traits> IN basic_ostream<char,Traits>& OP<<(basic_ostream<char,Traits>& os,CO MN<M>& n){RE os << n.RP();}
US MP = MN<P>;
template <typename T , int length>
class SecondStirlingNumberCalculator
{
private:
// N元集合の非交叉非空部分集合i個による被覆の個数をm_val[N][i]に格納する。
T m_val[length][length];
public:
// （コンパイル時に）計算量O(length^2)で構築する。
constexpr inline SecondStirlingNumberCalculator();
constexpr inline const T ( &operator[]( const int& i ) const )[length];
// 以下N<lengthの場合のみサポート。（i<lengthでなくてもよい）
// N元集合の非交叉非空部分集合i個による被覆の個数を返す。（O(1)）
constexpr inline T CountDisjointCover( const int& N , const int& i ) const;
// N元集合の非交叉非空部分集合i個の個数を返す。（O(1)）
constexpr inline T CountDisjointSubset( const int& N , const int& i ) const;
// 以下Tが正整数Mに対するMod<M>と表せる場合のみサポート。
// N元集合の長さiの非交叉非空部分集合列による被覆の個数を返す。（O(log min{N,i})）
// （i彩色の個数はこれらを足し合わせればよい）
inline T CountDisjointCoverSequence( const int& N , const int& i ) const;
// N元集合の長さiの非交叉非空部分集合列の個数を返す。（O(log min{N,i})）
inline T CountDisjointSubsetSequence( const int& N , const int& i ) const;
// 以下Mがlength以上の素数である場合のみサポート。
// N元集合の要素数nの部分集合の非交叉非空部分集合i個による被覆の個数を返す。（O(log N)）
inline T CountDisjointCover( const int& N , const int& n , const int& i ) const;
// N元集合の要素数nの部分集合の長さiの非交叉非空部分集合列による被覆の個数を返す。（O(log N)）
inline T CountDisjointCoverSequence( const int& N , const int& n , const int& i ) const;
};
template <typename T , int length> constexpr inline SecondStirlingNumberCalculator<T,length>::SecondStirlingNumberCalculator() : m_val()
{
m_val[0][0] = 1;
for( int i = 1 ; i < length ; i++ ){
auto& m_val_i = m_val[i];
const auto& m_val_i_minus = m_val[i - 1];
for( int j = 1 ; j < i ; j++ ){
( ( m_val_i[j] = m_val_i_minus[j] ) *= j ) += m_val_i_minus[j - 1];
}
m_val_i[i] = 1;
}
}
template <typename T , int length> constexpr inline const T ( &SecondStirlingNumberCalculator<T,length>::operator[]( const int& i ) const )[length] { assert( i < length ); return m_val[i]; }
template <typename T , int length> constexpr inline T SecondStirlingNumberCalculator<T,length>::CountDisjointCover( const int& N , const int& i ) const { assert( N < length ); return i <= N ? m_val[N][i] : T(); }
template <typename T , int length> constexpr inline T SecondStirlingNumberCalculator<T,length>::CountDisjointSubset( const int& N , const int& i ) const { assert( N < length ); return i < N ? m_val[N][i] + m_val[N][i+1] : i == N ? m_val[N][i] : T(); }
template <typename T , int length> inline T SecondStirlingNumberCalculator<T,length>::CountDisjointCoverSequence( const int& N , const int& i ) const { return CountDisjointCover( N , i ) * T::Factorial( i ); }
template <typename T , int length> inline T SecondStirlingNumberCalculator<T,length>::CountDisjointSubsetSequence( const int& N , const int& i ) const { return CountDisjointSubset( N , i ) * T::Factorial( i ); }
template <typename T , int length> inline T SecondStirlingNumberCalculator<T,length>::CountDisjointCover( const int& N , const int& n , const int& i ) const { return CountDisjointCover( n , i ) * T::Combination( N , n ); }
template <typename T , int length> inline T SecondStirlingNumberCalculator<T,length>::CountDisjointCoverSequence( const int& N , const int& n , const int& i ) const { return CountDisjointCoverSequence( n , i ) * T::Combination( N , n ); }
// AAA 常設でないライブラリは以上に挿入する。
#define INCLUDE_SUB
#include __FILE__
#else // INCLUDE_LIBRARY
#ifdef DEBUG
#define _GLIBCXX_DEBUG
#define REPEAT_MAIN( BOUND ) START_MAIN; signal( SIGABRT , &AlertAbort ); AutoCheck( exec_mode , use_getline ); if( exec_mode == sample_debug_mode || exec_mode == submission_debug_mode || exec_mode == library_search_mode ){ RE 0; } else if( exec_mode == experiment_mode ){ Experiment(); RE 0; } else if( exec_mode == small_test_mode ){ SmallTest(); RE 0; }; CEXPR( int , bound_test_case_num , BOUND ); int test_case_num = 1; if( exec_mode == solve_mode ){ if CE( 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 ); } } else if( exec_mode == random_test_mode ){ CERR( "ランダムテストを行う回数を指定してください。" ); SET_LL( test_case_num ); } FINISH_MAIN
#define DEXPR( LL , BOUND , VALUE1 , VALUE2 ) CEXPR( LL , BOUND , VALUE2 )
#define ASSERT( A , MIN , MAX ) CERR( "ASSERTチェック： " , ( MIN ) , ( ( MIN ) <= A ? "<=" : ">" ) , A , ( A <= ( MAX ) ? "<=" : ">" ) , ( MAX ) ); AS( ( MIN ) <= A && A <= ( MAX ) )
#define SET_ASSERT( A , MIN , MAX ) if( exec_mode == solve_mode ){ SET_LL( A ); ASSERT( A , MIN , MAX ); } else if( exec_mode == random_test_mode ){ CERR( #A , " = " , ( A = GetRand( MIN , MAX ) ) ); } else { AS( false ); }
#define SOLVE_ONLY ST_AS( __FUNCTION__[0] == 'S' )
#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 REPEAT_MAIN( BOUND ) START_MAIN; CEXPR( int , bound_test_case_num , BOUND ); int test_case_num = 1; if CE( bound_test_case_num > 1 ){ SET_ASSERT( test_case_num , 1 , bound_test_case_num ); } FINISH_MAIN
#define DEXPR( LL , BOUND , VALUE1 , VALUE2 ) CEXPR( LL , BOUND , VALUE1 )
#define ASSERT( A , MIN , MAX ) AS( ( MIN ) <= A && A <= ( MAX ) )
#define SET_ASSERT( A , MIN , MAX ) SET_LL( A ); ASSERT( A , MIN , MAX )
#define SOLVE_ONLY
#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 , ... ) SOLVE_ONLY; string __VA_ARGS__; VariadicGetline( cin , SEPARATOR , __VA_ARGS__ )
#define GETLINE( ... ) SOLVE_ONLY; GETLINE_SEPARATE( '\n' , __VA_ARGS__ )
#else
#define SET_LL( A ) cin >> A
#define CIN( LL , ... ) SOLVE_ONLY; LL __VA_ARGS__; VariadicCin( cin , __VA_ARGS__ )
#define SET_A( A , N ) SOLVE_ONLY; FOR( VARIABLE_FOR_SET_A , 0 , N ){ cin >> A[VARIABLE_FOR_SET_A]; }
#define CIN_A( LL , A , N ) VE<LL> A( N ); SET_A( A , N );
#endif
#include <bits/stdc++.h>
using namespace std;
#define ATT __attribute__( ( target( "sse4.2,fma,avx2,popcnt,lzcnt,bmi2" ) ) )
#define START_MAIN int main(){ ios_base::sync_with_stdio( false ); cin.tie( nullptr )
#define FINISH_MAIN REPEAT( test_case_num ){ if CE( bound_test_case_num > 1 ){ CERR( "testcase " , VARIABLE_FOR_REPEAT_test_case_num , ":" ); } Solve(); CERR( "" ); } }
#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 ) CE LL BOUND = VALUE
#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 .BE() , end_ ## ARRAY = ARRAY .EN()
#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.BE() , EN_FOR_OUTPUT_ITR = A.EN(); bool VARIABLE_FOR_OUTPUT_ITR = ITERATOR_FOR_COUT_ITR != END_FOR_COUT_ITR; WH( 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( ... ) SOLVE_ONLY; COUT( __VA_ARGS__ ); RE
#define COMPARE( ... ) auto naive = Naive( __VA_ARGS__ ); auto answer = Answer( __VA_ARGS__ ); bool match = naive == answer; COUT( "(" , #__VA_ARGS__ , ") == (" , __VA_ARGS__ , ") : Naive == " , naive , match ? "==" : "!=" , answer , "== Answer" ); if( !match ){ RE; }
// 圧縮用
#define TE template
#define TY typename
#define US using
#define ST static
#define AS assert
#define IN inline
#define CL class
#define PU public
#define OP operator
#define CE constexpr
#define CO const
#define NE noexcept
#define RE return
#define WH while
#define VO void
#define VE vector
#define LI list
#define BE begin
#define EN end
#define SZ size
#define LE length
#define PW Power
#define MO move
#define TH this
#define CRI CO int&
#define CRUI CO uint&
#define CRL CO ll&
#define VI virtual
#define ST_AS static_assert
#define reMO_CO remove_const
#define is_COructible_v is_constructible_v
#define rBE rbegin
#define reSZ resize
// 型のエイリアス
#define decldecay_t( VAR ) decay_t<decltype( VAR )>
TE <TY F , TY...Args> US ret_t = decltype( declval<F>()( declval<Args>()... ) );
TE <TY T> US inner_t = TY T::type;
US uint = unsigned int;
US ll = long long;
US ull = unsigned long long;
US ld = long double;
US lld = __float128;
TE <TY INT> US T2 = pair<INT,INT>;
TE <TY INT> US T3 = tuple<INT,INT,INT>;
TE <TY INT> US T4 = tuple<INT,INT,INT,INT>;
US path = pair<int,ll>;
// 入出力用
TE <CL Traits> IN basic_istream<char,Traits>& VariadicCin( basic_istream<char,Traits>& is ) { RE is; }
TE <CL Traits , TY Arg , TY... ARGS> IN basic_istream<char,Traits>& VariadicCin( basic_istream<char,Traits>& is , Arg& arg , ARGS&... args ) { RE VariadicCin( is >> arg , args... ); }
TE <CL Traits> IN basic_istream<char,Traits>& VariadicGetline( basic_istream<char,Traits>& is , CO char& separator ) { RE is; }
TE <CL Traits , TY Arg , TY... ARGS> IN basic_istream<char,Traits>& VariadicGetline( basic_istream<char,Traits>& is , CO char& separator , Arg& arg , ARGS&... args ) { RE VariadicGetline( getline( is , arg , separator ) , separator , args... ); }
TE <CL Traits , TY Arg> IN basic_ostream<char,Traits>& operator<<( basic_ostream<char,Traits>& os , CO VE<Arg>& arg ) { auto BE = arg.BE() , EN = arg.EN(); auto itr = BE; WH( itr != EN ){ ( itr == BE ? os : os << " " ) << *itr; itr++; } RE os; }
TE <CL Traits , TY Arg1 , TY Arg2> IN basic_ostream<char,Traits>& operator<<( basic_ostream<char,Traits>& os , CO pair<Arg1,Arg2>& arg ) { RE os << arg.first << " " << arg.second; }
TE <CL Traits , TY Arg> IN basic_ostream<char,Traits>& VariadicCout( basic_ostream<char,Traits>& os , CO Arg& arg ) { RE os << arg; }
TE <CL Traits , TY Arg1 , TY Arg2 , TY... ARGS> IN basic_ostream<char,Traits>& VariadicCout( basic_ostream<char,Traits>& os , CO Arg1& arg1 , CO Arg2& arg2 , CO ARGS&... args ) { RE VariadicCout( os << arg1 << " " , arg2 , args... ); }
// 算術用
TE <TY T> CE T PositiveBaseResidue( CO T& a , CO T& p ){ RE a >= 0 ? a % p : p - 1 - ( ( - ( a + 1 ) ) % p ); }
TE <TY T> CE T Residue( CO T& a , CO T& p ){ RE PositiveBaseResidue( a , p < 0 ? -p : p ); }
TE <TY T> CE T PositiveBaseQuotient( CO T& a , CO T& p ){ RE ( a - PositiveBaseResidue( a , p ) ) / p; }
TE <TY T> CE T Quotient( CO T& a , CO T& p ){ RE p < 0 ? PositiveBaseQuotient( -a , -p ) : PositiveBaseQuotient( a , p ); }
#define POWER( ANSWER , ARGUMENT , EXPONENT ) \
ST_AS( ! is_same<decldecay_t( ARGUMENT ),int>::value && ! is_same<decldecay_t( ARGUMENT ),uint>::value ); \
decldecay_t( ARGUMENT ) ANSWER{ 1 }; \
{ \
decldecay_t( ARGUMENT ) ARGUMENT_FOR_SQUARE_FOR_POWER = ( ARGUMENT ); \
decldecay_t( EXPONENT ) EXPONENT_FOR_SQUARE_FOR_POWER = ( EXPONENT ); \
WH( 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; \
} \
} \
#define POWER_MOD( ANSWER , ARGUMENT , EXPONENT , MODULO ) \
ll ANSWER{ 1 }; \
{ \
ll ARGUMENT_FOR_SQUARE_FOR_POWER = ( ( ARGUMENT ) % ( MODULO ) ) % ( MODULO ); \
ARGUMENT_FOR_SQUARE_FOR_POWER < 0 ? ARGUMENT_FOR_SQUARE_FOR_POWER += ( MODULO ) : ARGUMENT_FOR_SQUARE_FOR_POWER; \
decldecay_t( EXPONENT ) EXPONENT_FOR_SQUARE_FOR_POWER = ( EXPONENT ); \
WH( EXPONENT_FOR_SQUARE_FOR_POWER != 0 ){ \
if( EXPONENT_FOR_SQUARE_FOR_POWER % 2 == 1 ){ \
ANSWER = ( ANSWER * ARGUMENT_FOR_SQUARE_FOR_POWER ) % ( MODULO ); \
} \
ARGUMENT_FOR_SQUARE_FOR_POWER = ( ARGUMENT_FOR_SQUARE_FOR_POWER * ARGUMENT_FOR_SQUARE_FOR_POWER ) % ( MODULO ); \
EXPONENT_FOR_SQUARE_FOR_POWER /= 2; \
} \
} \
#define FACTORIAL_MOD( ANSWER , ANSWER_INV , INVERSE , MAX_INDEX , CE_LENGTH , MODULO ) \
ll ANSWER[CE_LENGTH]; \
ll ANSWER_INV[CE_LENGTH]; \
ll INVERSE[CE_LENGTH]; \
{ \
ll VARIABLE_FOR_PRODUCT_FOR_FACTORIAL = 1; \
ANSWER[0] = VARIABLE_FOR_PRODUCT_FOR_FACTORIAL; \
FOREQ( i , 1 , MAX_INDEX ){ \
ANSWER[i] = ( VARIABLE_FOR_PRODUCT_FOR_FACTORIAL *= i ) %= ( MODULO ); \
} \
ANSWER_INV[0] = ANSWER_INV[1] = INVERSE[1] = VARIABLE_FOR_PRODUCT_FOR_FACTORIAL = 1; \
FOREQ( i , 2 , MAX_INDEX ){ \
ANSWER_INV[i] = ( VARIABLE_FOR_PRODUCT_FOR_FACTORIAL *= INVERSE[i] = ( MODULO ) - ( ( ( ( MODULO ) / i ) * INVERSE[ ( MODULO ) % i ] ) % ( MODULO ) ) ) %= ( MODULO ); \
} \
} \
// 二分探索用
// EXPRESSIONがANSWERの広義単調関数の時、EXPRESSION >= CO_TARGETの整数解を格納。
#define BS( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , DESIRED_INEQUALITY , CO_TARGET , INEQUALITY_FOR_CHECK , UPDATE_U , UPDATE_L , UPDATE_ANSWER ) \
ST_AS( ! is_same<decldecay_t( CO_TARGET ),uint>::value && ! is_same<decldecay_t( CO_TARGET ),ull>::value ); \
ll ANSWER = MINIMUM; \
{ \
ll L_BS = MINIMUM; \
ll U_BS = MAXIMUM; \
ANSWER = UPDATE_ANSWER; \
ll EXPRESSION_BS; \
CO ll CO_TARGET_BS = ( CO_TARGET ); \
ll DIFFERENCE_BS; \
WH( L_BS < U_BS ){ \
DIFFERENCE_BS = ( EXPRESSION_BS = ( EXPRESSION ) ) - CO_TARGET_BS; \
CERR( "二分探索中：" , "L_BS =" , L_BS , "<=" , #ANSWER , "=" , ANSWER , "<=" , U_BS , "= U_BS :" , #EXPRESSION , "=" , EXPRESSION_BS , DIFFERENCE_BS > 0 ? ">" : DIFFERENCE_BS < 0 ? "<" : "=" , CO_TARGET_BS , "=" , #CO_TARGET ); \
if( DIFFERENCE_BS INEQUALITY_FOR_CHECK 0 ){ \
U_BS = UPDATE_U; \
} else { \
L_BS = UPDATE_L; \
} \
ANSWER = UPDATE_ANSWER; \
} \
if( L_BS > U_BS ){ \
CERR( "二分探索失敗：" , "L_BS =" , L_BS , ">" , U_BS , "= U_BS :" , #ANSWER , ":=" , #MAXIMUM , "+ 1 =" , MAXIMUM + 1 ); \
CERR( "二分探索マクロにミスがある可能性があります。変更前の版に戻してください。" ); \
ANSWER = MAXIMUM + 1; \
} else { \
CERR( "二分探索終了：" , "L_BS =" , L_BS , "<=" , #ANSWER , "=" , ANSWER , "<=" , U_BS , "= U_BS" ); \
CERR( "二分探索が成功したかを確認するために" , #EXPRESSION , "を計算します。" ); \
CERR( "成功判定が不要な場合はこの計算を削除しても構いません。" ); \
EXPRESSION_BS = ( EXPRESSION ); \
CERR( "二分探索結果：" , #EXPRESSION , "=" , EXPRESSION_BS , ( EXPRESSION_BS > CO_TARGET_BS ? ">" : EXPRESSION_BS < CO_TARGET_BS ? "<" : "=" ) , CO_TARGET_BS ); \
if( EXPRESSION_BS DESIRED_INEQUALITY CO_TARGET_BS ){ \
CERR( "二分探索成功：" , #ANSWER , ":=" , ANSWER ); \
} else { \
CERR( "二分探索失敗：" , #ANSWER , ":=" , #MAXIMUM , "+ 1 =" , MAXIMUM + 1 ); \
CERR( "単調でないか、単調増加性と単調減少性を逆にしてしまったか、探索範囲内に解が存在しません。" ); \
ANSWER = MAXIMUM + 1; \
} \
} \
} \
// 単調増加の時にEXPRESSION >= CO_TARGETの最小解を格納。
#define BS1( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , CO_TARGET ) BS( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , >= , CO_TARGET , >= , ANSWER , ANSWER + 1 , ( L_BS + U_BS ) / 2 )
// 単調増加の時にEXPRESSION <= CO_TARGETの最大解を格納。
#define BS2( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , CO_TARGET ) BS( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , <= , CO_TARGET , > , ANSWER - 1 , ANSWER , ( L_BS + 1 + U_BS ) / 2 )
// 単調減少の時にEXPRESSION >= CO_TARGETの最大解を格納。
#define BS3( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , CO_TARGET ) BS( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , >= , CO_TARGET , < , ANSWER - 1 , ANSWER , ( L_BS + 1 + U_BS ) / 2 )
// 単調減少の時にEXPRESSION <= CO_TARGETの最小解を格納。
#define BS4( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , CO_TARGET ) BS( ANSWER , MINIMUM , MAXIMUM , EXPRESSION , <= , CO_TARGET , <= , ANSWER , ANSWER + 1 , ( L_BS + U_BS ) / 2 )
// t以下の値が存在すればその最大値のiterator、存在しなければend()を返す。
TE <TY T> IN TY set<T>::iterator MaximumLeq( set<T>& S , CO T& t ) { CO auto EN = S.EN(); if( S.empty() ){ RE EN; } auto itr = S.upper_bound( t ); RE itr == EN ? S.find( *( S.rBE() ) ) : itr == S.BE() ? EN : --itr; }
// t未満の値が存在すればその最大値のiterator、存在しなければend()を返す。
TE <TY T> IN TY set<T>::iterator MaximumLt( set<T>& S , CO T& t ) { CO auto EN = S.EN(); if( S.empty() ){ RE EN; } auto itr = S.lower_bound( t ); RE itr == EN ? S.find( *( S.rBE() ) ) : itr == S.BE() ? EN : --itr; }
// t以上の値が存在すればその最小値のiterator、存在しなければend()を返す。
TE <TY T> IN TY set<T>::iterator MinimumGeq( set<T>& S , CO T& t ) { RE S.lower_bound( t ); }
// tより大きい値が存在すればその最小値のiterator、存在しなければend()を返す。
TE <TY T> IN TY set<T>::iterator MinimumGt( set<T>& S , CO T& t ) { RE S.upper_bound( t ); }
// 尺取り法用
// VAR_TPAがINITからUPDATEを繰り返しCONTINUE_CONDITIONを満たす限り、ON_CONDITIONを判定して
// trueならON、falseならOFFとなる。直近のONの区間を[VAR_TPA_L,VAR_TPA_R)で管理する。
#define TPA( VAR_TPA , INIT , UPDATE , CONTINUE_CONDITION , ON_CONDITION , ONON , ONOFF , OFFON , OFFOFF , FINISH ) \
{ \
auto VAR_TPA = INIT; \
auto VAR_TPA ## _L = VAR_TPA; \
auto VAR_TPA ## _R = VAR_TPA; \
bool on_TPA = false; \
int state_TPA = 3; \
WH( CONTINUE_CONDITION ){ \
bool on_TPA_next = ON_CONDITION; \
state_TPA = ( ( on_TPA ? 1 : 0 ) << 1 ) | ( on_TPA_next ? 1 : 0 ); \
CERR( "尺取り中： [L,R) = [" , VAR_TPA ## _L , "," , VAR_TPA ## _R , ") ," , #VAR_TPA , "=" , VAR_TPA , "," , ( ( state_TPA >> 1 ) & 1 ) == 1 ? "on" : "off" , " ->" , ( state_TPA & 1 ) == 1 ? "on" : "off" ); \
if( state_TPA == 0 ){ \
OFFOFF; VAR_TPA ## _L = VAR_TPA ## _R = VAR_TPA; UPDATE; \
} else if( state_TPA == 1 ){ \
OFFON; VAR_TPA ## _L = VAR_TPA; UPDATE; VAR_TPA ## _R = VAR_TPA; \
} else if( state_TPA == 2 ){ \
ONOFF; VAR_TPA ## _L = VAR_TPA ## _R = VAR_TPA; UPDATE; \
} else { \
ONON; UPDATE; VAR_TPA ## _R = VAR_TPA; \
} \
on_TPA = on_TPA_next; \
} \
CERR( "尺取り終了： [L,R) = [" , VAR_TPA ## _L , "," , VAR_TPA ## _R , ") ," , #VAR_TPA , "=" , VAR_TPA ); \
FINISH; \
} \
// データ構造用
TE <TY T , TE <TY...> TY V> IN V<T> OP+( CO V<T>& a0 , CO V<T>& a1 ) { if( a0.empty() ){ RE a1; } if( a1.empty() ){ RE a0; } AS( a0.SZ() == a1.SZ() ); V<T> answer{}; for( auto itr0 = a0.BE() , itr1 = a1.BE() , EN0 = a0.EN(); itr0 != EN0 ; itr0++ , itr1++ ){ answer.push_back( *itr0 + *itr1 ); } RE answer; }
TE <TY T , TY U> IN pair<T,U> OP+( CO pair<T,U>& t0 , CO pair<T,U>& t1 ) { RE { t0.first + t1.first , t0.second + t1.second }; }
TE <TY T , TY U , TY V> IN tuple<T,U,V> OP+( CO tuple<T,U,V>& t0 , CO tuple<T,U,V>& t1 ) { RE { get<0>( t0 ) + get<0>( t1 ) , get<1>( t0 ) + get<1>( t1 ) , get<2>( t0 ) + get<2>( t1 ) }; }
TE <TY T , TY U , TY V , TY W> IN tuple<T,U,V,W> OP+( CO tuple<T,U,V,W>& t0 , CO tuple<T,U,V,W>& t1 ) { RE { get<0>( t0 ) + get<0>( t1 ) , get<1>( t0 ) + get<1>( t1 ) , get<2>( t0 ) + get<2>( t1 ) , get<3>( t0 ) + get<3>( t1 ) }; }
TE <TY T> IN T Add( CO T& t0 , CO T& t1 ) { RE t0 + t1; }
TE <TY T> IN T XorAdd( CO T& t0 , CO T& t1 ){ RE t0 ^ t1; }
TE <TY T> IN T Multiply( CO T& t0 , CO T& t1 ) { RE t0 * t1; }
TE <TY T> IN CO T& Zero() { ST CO T z{}; RE z; }
TE <TY T> IN CO T& One() { ST CO T o = 1; RE o; }\
TE <TY T> IN T AddInv( CO T& t ) { RE -t; }
TE <TY T> IN T Id( CO T& v ) { RE v; }
TE <TY T> IN T Min( CO T& a , CO T& b ){ RE a < b ? a : b; }
TE <TY T> IN T Max( CO T& a , CO T& b ){ RE a < b ? b : a; }
TE <TY T , TE <TY...> TY V> IN auto Get( CO V<T>& a ) { return [&]( CRI i = 0 ){ RE a[i]; }; }
// グリッド問題用
int H , W , H_minus , W_minus , HW;
VE<VE<bool>> non_wall;
IN T2<int> EnumHW( CRI v ) { RE { v / W , v % W }; }
IN int EnumHW_inv( CO T2<int>& ij ) { auto& [i,j] = ij; RE i * W + j; }
CO string direction[4] = {"U","R","D","L"};
// (i,j)->(k,h)の方向番号を取得
IN int DirectionNumberOnGrid( CRI i , CRI j , CRI k , CRI h ){RE i<k?2:i>k?0:j<h?1:j>h?3:(AS(false),-1);}
// v->wの方向番号を取得
IN int DirectionNumberOnGrid( CRI v , CRI w ){auto [i,j]=EnumHW(v);auto [k,h]=EnumHW(w);RE DirectionNumberOnGrid(i,j,k,h);}
// 方向番号の反転U<->D、R<->L
IN int ReverseDirectionNumberOnGrid( CRI n ){AS(0<=n&&n<4);RE(n+2)%4;}
IN VO SetEdgeOnGrid( CO string& Si , CRI i , VE<LI<int>>& e , CO char& walkable = '.' ){FOR(j,0,W){if(Si[j]==walkable){int v = EnumHW_inv({i,j});if(i>0){e[EnumHW_inv({i-1,j})].push_back(v);}if(i+1<H){e[EnumHW_inv({i+1,j})].push_back(v);}if(j>0){e[EnumHW_inv({i,j-1})].push_back(v);}if(j+1<W){e[EnumHW_inv({i,j+1})].push_back(v);}}}}
IN VO SetEdgeOnGrid( CO string& Si , CRI i , VE<LI<path>>& e , CO char& walkable = '.' ){FOR(j,0,W){if(Si[j]==walkable){CO int v=EnumHW_inv({i,j});if(i>0){e[EnumHW_inv({i-1,j})].push_back({v,1});}if(i+1<H){e[EnumHW_inv({i+1,j})].push_back({v,1});}if(j>0){e[EnumHW_inv({i,j-1})].push_back({v,1});}if(j+1<W){e[EnumHW_inv({i,j+1})].push_back({v,1});}}}}
IN VO SetWallOnGrid( CO string& Si , CRI i , VE<VE<bool>>& non_wall , CO char& walkable = '.' , CO char& unwalkable = '#' ){non_wall.push_back(VE<bool>(W));auto& non_wall_i=non_wall[i];FOR(j,0,W){non_wall_i[j]=Si[j]==walkable?true:(assert(Si[j]==unwalkable),false);}}
// デバッグ用
#ifdef DEBUG
IN VO 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。" ); }
VO AutoCheck( int& exec_mode , CO bool& use_getline );
IN VO Solve();
IN VO Experiment();
IN VO SmallTest();
IN VO RandomTest();
ll GetRand( CRL Rand_min , CRL Rand_max );
IN VO BreakPoint( CRI LINE ) {}
int exec_mode;
CEXPR( int , solve_mode , 0 );
CEXPR( int , sample_debug_mode , 1 );
CEXPR( int , submission_debug_mode , 2 );
CEXPR( int , library_search_mode , 3 );
CEXPR( int , experiment_mode , 4 );
CEXPR( int , small_test_mode , 5 );
CEXPR( int , random_test_mode , 6 );
#ifdef USE_GETLINE
CEXPR( bool , use_getline , true );
#else
CEXPR( bool , use_getline , false );
#endif
#else
ll GetRand( CRL Rand_min , CRL Rand_max ) { ll answer = time( NULL ); RE answer * rand() % ( Rand_max + 1 - Rand_min ) + Rand_min; }
#endif
// VVV 常設ライブラリは以下に挿入する。
// AAA 常設ライブラリは以上に挿入する。
#define INCLUDE_LIBRARY
#include __FILE__
#endif // INCLUDE_LIBRARY
#endif // INCLUDE_SUB
#endif // INCLUDE_MAIN