#ifndef INCLUDE_MODE #define INCLUDE_MODE // #define REACTIVE // #define USE_GETLINE #endif #ifdef INCLUDE_MAIN IN VO Solve() { CIN( int , N ); uint M = N - 1; vector> e( N ); FOR( j , 0 , M ){ CIN( int , uj , vj ); uj--; vj--; e[uj].push_back( vj ); e[vj].push_back( uj ); } using T = vector>; vector A( N ); FOR( i , 0 , N ){ CIN( ll , Ai ); T& A_i = A[i] = T( 30 , { 0 , 0 } ); FOR( d , 0 , 30 ){ A_i[d][ ( Ai >> d ) & 1 ] = 1; } } CEXPR( ll , P , 998244353 ); auto f = [&]( const list& a = {} , const int& i = 0 ) { T& temp = A[i]; FOR_ITR( a ){ if( temp.empty() ){ temp = *itr; } else if( ! itr->empty() ){ T answer = T( 30 , { 0 , 0 } ); FOR( d , 0 , 30 ){ FOR( is , 0 , 2 ){ ( answer[d][is] += temp[d][is] * ( *itr )[d][1] ) %= P; ( answer[d][is ^ 0] += temp[d][is] * ( *itr )[d][0] ) %= P; ( answer[d][is ^ 1] += temp[d][is] * ( *itr )[d][1] ) %= P; } } temp = move( answer ); } } return temp; }; Graph tree{ N , Get( e ) }; DepthFirstSearchOnTree dfst{ tree , 0 }; T val = dfst.RootingDP( f ); ll answer = 0; ll power = 1; FOR( d , 0 , 30 ){ ( answer += val[d][1] * power ) %= P; ( power <<= 1 ) < P ? power : power -= P; } 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: c:/Users/user/Documents/Programming/Mathematics/Geometry/Graph/BreadthFirstSearch/compress.txt CoordinateCompress: c:/Users/user/Documents/Programming/Mathematics/SetTheory/DirectProduct/CoordinateCompress/compress.txt DFSOnTree c:/Users/user/Documents/Programming/Mathematics/Geometry/Graph/DepthFirstSearch/Tree/a.hpp Divisor: c:/Users/user/Documents/Programming/Mathematics/Arithmetic/Prime/Divisor/compress.txt IntervalAddBIT c:/Users/user/Documents/Programming/Mathematics/SetTheory/DirectProduct/AffineSpace/BIT/IntervalAdd/compress.txt Polynomial c:/Users/user/Documents/Programming/Mathematics/Polynomial/compress.txt UnionFind 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。 TE CL VirtualBreadthFirstSearch{PU:GRAPH& m_G;T m_not_found;bool m_initialised;LI m_next;VE m_found;VE m_prev;IN VirtualBreadthFirstSearch(GRAPH& G,CO T& not_found);TE IN VirtualBreadthFirstSearch(GRAPH& G,CO T& not_found,Arg&& init);IN VO Initialise();IN VO Initialise(CO T& init);IN VO Initialise(LI inits);IN VO Shift(CO T& init);IN VO Shift(LI inits);IN CRI SZ()CO NE;IN VE::reference found(CO T& t);IN CO T& prev(CO T& t);IN T Next();VE GetDistance();VO SetConnectedComponent(VE& cc_num,int& count);VI VO Push(LI& next,CO T& t)= 0;}; TE IN VirtualBreadthFirstSearch::VirtualBreadthFirstSearch(GRAPH& G,CO T& not_found):m_G(G),m_not_found(not_found),m_initialised(false),m_next(),m_found(),m_prev(){}TE TE IN VirtualBreadthFirstSearch::VirtualBreadthFirstSearch(GRAPH& G,CO T& not_found,Arg&& init):VirtualBreadthFirstSearch(G,not_found){Initialise(forward(init));}TE IN VO VirtualBreadthFirstSearch::Initialise(){m_initialised = true;CRI V = SZ();m_next.clear();m_found = VE(V);m_prev = VE(V,m_not_found);}TE IN VO VirtualBreadthFirstSearch::Initialise(CO T& init){auto&& i = m_G.Enumeration_inv(init);AS(0 <= i && i < SZ());Initialise();m_next.push_back(init);m_found[i]= true;}TE IN VO VirtualBreadthFirstSearch::Initialise(LI inits){Initialise();m_next = MO(inits);CRI V = SZ();for(auto IT = m_next.BE(),EN = m_next.EN();IT != EN;IT++){auto&& i = m_G.Enumeration_inv(*IT);AS(0 <= i && i < V);m_found[i]= true;}}TE IN VO VirtualBreadthFirstSearch::Shift(CO T& init){if(m_initialised){CRI V = SZ();auto&& i = m_G.Enumeration_inv(init);AS(0 <= i && i < V);m_next.clear();if(! m_found[i]){m_next.push_back(init);m_found[i]= true;}}else{Initialise(init);}}TE IN VO VirtualBreadthFirstSearch::Shift(LI inits){if(m_initialised){m_next.clear();CRI V = SZ();for(auto IT = m_next.BE(),EN = m_next.EN();IT != EN;IT++){auto&& i = m_G.Enumeration_inv(*IT);AS(0 <= i && i < V);if(! m_found[i]){m_next.push_back(*IT);m_found[i]= true;}}}else{Initialise(MO(inits));}}TE IN CRI VirtualBreadthFirstSearch::SZ()CO NE{RE m_G.SZ();}TE IN VE::reference VirtualBreadthFirstSearch::found(CO T& t){auto&& i = m_G.Enumeration_inv(t);AS(0 <= i && i < SZ());if(!m_initialised){Initialise();}RE m_found[i];}TE IN CO T& VirtualBreadthFirstSearch::prev(CO T& t){auto&& i = m_G.Enumeration_inv(t);AS(0 <= i && i < SZ());if(!m_initialised){Initialise();}RE m_prev[i];}TE IN T VirtualBreadthFirstSearch::Next(){if(m_next.empty()){RE m_not_found;}CO T t_curr = m_next.front();m_next.pop_front();auto&& edge = m_G.Edge(t_curr);for(auto& t:edge){auto&& i = m_G.Enumeration_inv(t);auto&& found_i = m_found[i];if(! found_i){Push(m_next,t);m_prev[i]= t_curr;found_i = true;}}RE t_curr;}TE VE VirtualBreadthFirstSearch::GetDistance(){ST_AS(is_same_v && is_same_v>);VE depth{};depth = VE(SZ(),-1);for(auto IT = m_next.BE(),EN = m_next.EN();IT != EN;IT++){depth[*IT]= 0;}int i;WH((i = Next())!= m_not_found){int& depth_i = depth[i];depth_i == -1?depth_i = depth[prev(i)]+ 1:depth_i;}RE depth;}TE VO VirtualBreadthFirstSearch::SetConnectedComponent(VE& cc_num,int& count){ST_AS(is_same_v && is_same_v>);CRI V = SZ();cc_num = VE(V,-1);count = 0;for(int i = 0;i < V;i++){if(cc_num[i]== -1){Shift(i);int j = Next();if(j != m_not_found){WH(j != m_not_found){AS(cc_num[j]== -1);cc_num[j]= count;j = Next();}count++;}}}RE;} TE CL DepthFirstSearch:PU VirtualBreadthFirstSearch{PU:TE IN DepthFirstSearch(GRAPH& G,CO T& not_found,Args&&... args);IN VO Push(LI& next,CO T& t);}; TE TE IN DepthFirstSearch::DepthFirstSearch(GRAPH& G,CO T& not_found,Args&&... args):VirtualBreadthFirstSearch(G,not_found,forward(args)...){}TE IN VO DepthFirstSearch::Push(LI& next,CO T& t){next.push_front(t);} TE CL DepthFirstSearchOnTree:PU DepthFirstSearch{PU:VE m_node_num;VE> m_children;VE m_children_num;bool m_set_children;VE m_depth;bool m_set_depth;VE m_height;bool m_set_height;VE m_subtree_SZ;bool m_set_subtree_SZ;int m_digit;VE> m_doubling;bool m_set_doubling;IN DepthFirstSearchOnTree(TREE& T,CRI root = 0,CRI digit = 0);IN VO Initialise()= delete;IN VO Initialise(CRI init)= delete;IN VO Shift(CRI init)= delete;IN CRI Root()CO;IN CRI Parent(CRI i);IN CO VE& Children(CRI i);IN CRI Depth(CRI i);IN CRI Height(CRI i);IN CRI SubtreeSZ(CRI i);IN CRI NodeNumber(CRI i,CO bool& reversed = false)CO;IN CRI ChildrenNumber(CRI i);int Ancestor(int i,int n);IN int LCA(int i,int j);int LCA(int i,int j,int& i_prev,int& j_prev);TE ret_t RootingDP(F& f);TE VO RerootingDP(COMM_MONOID M,F& f,G& g,VE& d);VO SetChildren();VO SetDepth();VO SetHeight();VO SetSubtreeSZ();VO SetDoubling();}; TE IN DepthFirstSearchOnTree::DepthFirstSearchOnTree(TREE& T,CRI root,CRI digit):DepthFirstSearch(T,-1,root),m_node_num(TH->SZ()),m_children(),m_set_children(),m_depth(),m_set_depth(),m_height(),m_set_height(),m_subtree_SZ(),m_set_subtree_SZ(),m_digit(digit),m_doubling(m_digit),m_set_doubling(){ST_AS(is_same_v().edge())>>);CRI V = TH->SZ();for(int n = 0;n < V;n++){AS((m_node_num[n]= TH->Next())!= -1);}AS(TH->Next()== -1);}TE IN CRI DepthFirstSearchOnTree::Root()CO{RE TH->init();}TE IN CRI DepthFirstSearchOnTree::Parent(CRI i){RE TH->prev(i);}TE IN CO VE& DepthFirstSearchOnTree::Children(CRI i){if(! m_set_children){SetChildren();}RE m_children[i];}TE IN CRI DepthFirstSearchOnTree::Depth(CRI i){if(! m_set_depth){SetDepth();}RE m_depth[i];}TE IN CRI DepthFirstSearchOnTree::Height(CRI i){if(! m_set_height){SetHeight();}RE m_height[i];}TE IN CRI DepthFirstSearchOnTree::SubtreeSZ(CRI i){if(! m_set_subtree_SZ){SetSubtreeSZ();}RE m_subtree_SZ[i];}TE IN CRI DepthFirstSearchOnTree::NodeNumber(CRI i,CO bool& reversed)CO{CRI V = TH->SZ();AS(i < V);RE m_node_num[reversed?V - 1 - i:i];}TE IN CRI DepthFirstSearchOnTree::ChildrenNumber(CRI i){if(! m_set_children){SetChildren();}RE m_children_num[i];}TE int DepthFirstSearchOnTree::Ancestor(int i,int n){if(! m_set_doubling){SetDoubling();}AS((n >> m_digit)== 0);int d = 0;WH(n != 0){if((n & 1)== 1){AS((i = m_doubling[d][i])!= -1);}d++;n >>= 1;}RE i;}TE IN int DepthFirstSearchOnTree::LCA(int i,int j){int i_prev;int j_prev;RE LCA(i,j,i_prev,j_prev);}TE int DepthFirstSearchOnTree::LCA(int i,int j,int& i_prev,int& j_prev){i_prev = j_prev = -1;CO int diff = Depth(i)- Depth(j);AS(diff > 0?(i = Parent(i_prev = Ancestor(i,diff - 1)))!= -1:diff < 0?(j = Parent(j_prev = Ancestor(j,1 - diff)))!= -1:true);if(i != j){if(!m_set_doubling){SetDoubling();}int d = m_digit;WH(--d >= 0){CO VE& doubling_d = m_doubling[d];CRI doubling_d_i = doubling_d[i];CRI doubling_d_j = doubling_d[j];if(doubling_d_i != doubling_d_j){AS((i = doubling_d_i)!= -1 &&(j = doubling_d_j)!= -1);}}AS((i = Parent(i_prev = i))==(j = Parent(j_prev = j)));}RE i;}TE VO DepthFirstSearchOnTree::SetChildren(){AS(!m_set_children);m_set_children = true;CRI V = TH->SZ();m_children.reSZ(V);m_children_num.reSZ(V);for(int i = 0;i < V;i++){CRI j = Parent(i);if(j == -1){m_children_num[i]= -1;}else{VE& m_children_j = m_children[j];m_children_num[i]= m_children_j.SZ();m_children_j.push_back(i);}}RE;}TE VO DepthFirstSearchOnTree::SetDepth(){AS(!m_set_depth);m_set_depth = true;CRI V = TH->SZ();m_depth.reSZ(V);for(int n = 1;n < V;n++){CRI i = m_node_num[n];CRI j = Parent(i);AS(j != -1);m_depth[i]+= m_depth[j]+ 1;}RE;}TE VO DepthFirstSearchOnTree::SetHeight(){AS(!m_set_height);m_set_height = true;CRI V = TH->SZ();m_height.reSZ(V);for(int n = V - 1;n > 0;n--){CRI i = m_node_num[n];CRI j = Parent(i);AS(j != -1);int& height_j = m_height[j];height_j = max(height_j,m_height[i]+ 1);}RE;}TE VO DepthFirstSearchOnTree::SetSubtreeSZ(){AS(!m_set_subtree_SZ);m_set_subtree_SZ = true;CRI V = TH->SZ();m_subtree_SZ.reSZ(V);for(int n = V - 1;n > 0;n++){CRI i = m_node_num[n];CRI j = Parent(i);AS(j != -1);m_subtree_SZ[j]+= m_subtree_SZ[i]+ 1;}RE;}TE VO DepthFirstSearchOnTree::SetDoubling(){AS(!m_set_doubling);m_set_doubling = true;CRI V = TH->SZ();{VE& doubling_0 = m_doubling[0];doubling_0.reserve(V);CRI r = Root();for(int i = 0;i < V;i++){doubling_0.push_back(Parent(i));}}for(int d = 1;d < m_digit;d++){VE& doubling_d = m_doubling[d];VE& doubling_d_minus = m_doubling[d-1];doubling_d.reserve(V);for(int i = 0;i < V;i++){CRI doubling_d_minus_i = doubling_d_minus[i];doubling_d.push_back(doubling_d_minus_i == -1?-1:doubling_d_minus[doubling_d_minus_i]);}}RE;}TE TE ret_t DepthFirstSearchOnTree::RootingDP(F& f){US U = ret_t;ST_AS(is_invocable_r_v,int>);if(! m_set_children){SetChildren();}CRI V = TH->SZ();VE> children_value(V);U temp;for(int n = 0;n < V;n++){CRI i = NodeNumber(n,true);CRI j = Parent(i);temp = f(children_value[i],i);if(j != -1){children_value[j].push_back(temp);}}RE temp;}TE TE VO DepthFirstSearchOnTree::RerootingDP(COMM_MONOID M,F& f,G& g,VE& d){ST_AS(is_same_v> && is_invocable_r_v && is_invocable_r_v);if(! m_set_children){SetChildren();}CRI V = TH->SZ();CO U& e = M.Unit();d.reSZ(V);VE> children_value(V);VE> l_sum(V);VE> r_sum(V);for(int i = 0;i < V;i++){children_value[i].reSZ(m_children[i].SZ());}for(int n = 0;n < V;n++){CRI i = NodeNumber(n,true);CO VE& children_value_i = children_value[i];CO int SZ_i = children_value_i.SZ();U temp = e;VE& l_sum_i = l_sum[i];l_sum_i.reserve(SZ_i + 1);l_sum_i.push_back(temp);for(int m = 0;m < SZ_i;m++){l_sum_i.push_back(temp = M.Product(temp,g(children_value_i[m],true,i,m_children[i][m])));}CRI j = Parent(i);if(j != -1){children_value[j][m_children_num[i]]= f(temp,i);}temp = e;VE& r_sum_i = r_sum[i];r_sum_i.reSZ(SZ_i);for(int m = 1;m <= SZ_i;m++){r_sum_i[SZ_i - m]= temp;temp = M.Product(g(children_value_i[SZ_i - m],true,i,m_children[i][SZ_i - m]),temp);}}for(int n = 1;n < V;n++){CRI i = NodeNumber(n);CRI j = Parent(i);CRI k = ChildrenNumber(i);VE& l_sum_i = l_sum[i];VE& r_sum_i = r_sum[i];CO int SZ_i = r_sum_i.SZ();CO U rest_i = g(f(M.Product(l_sum[j][k],r_sum[j][k]),j),false,i,j);for(int m = 0;m <= SZ_i;m++){U& l_sum_im = l_sum_i[m];l_sum_im = M.Product(rest_i,l_sum_im);}}for(int i = 0;i < V;i++){d[i]= f(l_sum[i].back(),i);}RE;} // 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; }; DEXPR( int , bound_test_case_num , BOUND , min( BOUND , 100 ) ); int test_case_num = 1; if( exec_mode == solve_mode ){ if CE( bound_test_case_num > 1 ){ 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 , VALUE , DEBUG_VALUE ) CEXPR( LL , BOUND , DEBUG_VALUE ) #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 , VALUE , DEBUG_VALUE ) CEXPR( LL , BOUND , VALUE ) #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_CIN_A , 0 , N ){ cin >> A[VARIABLE_FOR_CIN_A]; } #define CIN_A( LL , A , N ) VE A( N ); SET_A( A , N ); #endif #include 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( chrono::duration_cast( 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 CIN_ASSERT( A , MIN , MAX ) decldecay_t( MAX ) A; SET_ASSERT( A , 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 TE US ret_t = decltype( declval()( declval()... ) ); TE 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 US T2 = pair; TE US T3 = tuple; TE US T4 = tuple; US path = pair; // 入出力用 TE IN basic_istream& VariadicCin( basic_istream& is ) { RE is; } TE IN basic_istream& VariadicCin( basic_istream& is , Arg& arg , ARGS&... args ) { RE VariadicCin( is >> arg , args... ); } TE IN basic_istream& VariadicGetline( basic_istream& is , CO char& separator ) { RE is; } TE IN basic_istream& VariadicGetline( basic_istream& is , CO char& separator , Arg& arg , ARGS&... args ) { RE VariadicGetline( getline( is , arg , separator ) , separator , args... ); } TE IN basic_ostream& operator<<( basic_ostream& os , CO VE& arg ) { auto BE = arg.BE() , EN = arg.EN(); auto itr = BE; WH( itr != EN ){ ( itr == BE ? os : os << " " ) << *itr; itr++; } RE os; } TE IN basic_ostream& VariadicCout( basic_ostream& os , CO Arg& arg ) { RE os << arg; } TE IN basic_ostream& VariadicCout( basic_ostream& os , CO Arg1& arg1 , CO Arg2& arg2 , CO ARGS&... args ) { RE VariadicCout( os << arg1 << " " , arg2 , args... ); } // 算術用 TE CE T PositiveBaseResidue( CO T& a , CO T& p ){ RE a >= 0 ? a % p : p - 1 - ( ( - ( a + 1 ) ) % p ); } TE CE T Residue( CO T& a , CO T& p ){ RE PositiveBaseResidue( a , p < 0 ? -p : p ); } TE CE T PositiveBaseQuotient( CO T& a , CO T& p ){ RE ( a - PositiveBaseResidue( a , p ) ) / p; } TE 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::value && ! is_same::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::value && ! is_same::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 , "-" , #CO_TARGET , "=" , EXPRESSION_BS , "-" , CO_TARGET_BS , "=" , DIFFERENCE_BS ); \ 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 IN TY set::iterator MaximumLeq( set& 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 IN TY set::iterator MaximumLt( set& 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 IN TY set::iterator MinimumGeq( set& 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 IN TY set::iterator MinimumGt( set& S , CO T& t ) { RE S.upper_bound( t ); } // データ構造用 TE TY V> IN V OP+( CO V& a0 , CO V& a1 ) { if( a0.empty() ){ RE a1; } if( a1.empty() ){ RE a0; } AS( a0.SZ() == a1.SZ() ); V answer{}; for( auto itr0 = a0.BE() , itr1 = a1.BE() , EN0 = a0.EN(); itr0 != EN0 ; itr0++ , itr1++ ){ answer.push_back( *itr0 + *itr1 ); } RE answer; } TE IN pair OP+( CO pair& t0 , CO pair& t1 ) { RE { t0.first + t1.first , t0.second + t1.second }; } TE IN tuple OP+( CO tuple& t0 , CO tuple& t1 ) { RE { get<0>( t0 ) + get<0>( t1 ) , get<1>( t0 ) + get<1>( t1 ) , get<2>( t0 ) + get<2>( t1 ) }; } TE IN tuple OP+( CO tuple& t0 , CO tuple& 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 IN T Add( CO T& t0 , CO T& t1 ) { RE t0 + t1; } TE IN T XorAdd( CO T& t0 , CO T& t1 ){ RE t0 ^ t1; } TE IN T Multiply( CO T& t0 , CO T& t1 ) { RE t0 * t1; } TE IN CO T& Zero() { ST CO T z{}; RE z; } TE IN CO T& One() { ST CO T o = 1; RE o; }\ TE IN T AddInv( CO T& t ) { RE -t; } TE IN T Id( CO T& v ) { RE v; } TE IN T Min( CO T& a , CO T& b ){ RE a < b ? a : b; } TE IN T Max( CO T& a , CO T& b ){ RE a < b ? b : a; } TE TY V> IN auto Get( CO V& a ) { return [&]( CRI i = 0 ){ RE a[i]; }; } // グリッド問題用 int H , W , H_minus , W_minus , HW; VE> non_wall; IN T2 EnumHW( CRI v ) { RE { v / W , v % W }; } IN int EnumHW_inv( CRI h , CRI w ) { RE h * W + w; } 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 ik?0:jh?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 , LI ( &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+10){e[EnumHW_inv(i,j-1)].push_back(v);}if(j+1 ( &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+10){e[EnumHW_inv(i,j-1)].push_back({v,1});}if(j+1>& non_wall , CO char& walkable = '.' , CO char& unwalkable = '#' ){non_wall.push_back(VE(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。 // Map // c:/Users/user/Documents/Programming/Mathematics/Function/Map/compress.txt CL is_ordered{PU:is_ordered()= delete;TE ST CE auto Check(CO T& t)-> decltype(t < t,true_type());ST CE false_type Check(...);TE ST CE CO bool value = is_same_v< decltype(Check(declval())),true_type >;}; TE US Map = conditional_t>,unordered_map,conditional_t,map,VO>>; // Algebra // c:/Users/user/Documents/Programming/Mathematics/Algebra/compress.txt #define DC_OF_CPOINT(POINT)IN CO U& POINT()CO NE #define DC_OF_POINT(POINT)IN U& POINT() NE #define DF_OF_CPOINT(POINT)TE IN CO U& VirtualPointedSet::POINT()CO NE{RE Point();} #define DF_OF_POINT(POINT)TE IN U& VirtualPointedSet::POINT()NE{RE Point();} TE CL VirtualPointedSet{PU:virtual CO U& Point()CO NE = 0;virtual U& Point() NE = 0;DC_OF_CPOINT(Unit);DC_OF_CPOINT(Zero);DC_OF_CPOINT(One);DC_OF_CPOINT(Infty);DC_OF_CPOINT(size);DC_OF_POINT(init);DC_OF_POINT(root);};TE CL PointedSet:virtual PU VirtualPointedSet{PU:U m_b_U;IN PointedSet(CO U& b_u = U());IN CO U& Point()CO NE;IN U& Point() NE;};TE CL VirtualNSet{PU:virtual U Transfer(CO U& u)= 0;IN U Inverse(CO U& u);};TE CL AbstractNSet:virtual PU VirtualNSet{PU:F_U& m_f_U;IN AbstractNSet(F_U& f_U);IN U Transfer(CO U& u);};TE CL VirtualMagma{PU:virtual U Product(CO U& u0,CO U& u1)= 0;IN U Sum(CO U& u0,CO U& u1);};TE CL AbstractMagma:virtual PU VirtualMagma{PU:M_U& m_m_U;IN AbstractMagma(M_U& m_U);IN U Product(CO U& u0,CO U& u1);}; TE IN PointedSet::PointedSet(CO U& b_U):m_b_U(b_U){}TE IN CO U& PointedSet::Point()CO NE{RE m_b_U;}TE IN U& PointedSet::Point()NE{RE m_b_U;}DF_OF_CPOINT(Unit);DF_OF_CPOINT(Zero);DF_OF_CPOINT(One);DF_OF_CPOINT(Infty);DF_OF_CPOINT(size);DF_OF_POINT(init);DF_OF_POINT(root);TE IN AbstractNSet::AbstractNSet(F_U& f_U):m_f_U(f_U){ST_AS(is_invocable_r_v);}TE IN U AbstractNSet::Transfer(CO U& u){RE m_f_U(u);}TE IN U VirtualNSet::Inverse(CO U& u){RE Transfer(u);}TE IN AbstractMagma::AbstractMagma(M_U& m_U):m_m_U(m_U){ST_AS(is_invocable_r_v);}TE IN U AbstractMagma::Product(CO U& u0,CO U& u1){RE m_m_U(u0,u1);}TE IN U VirtualMagma::Sum(CO U& u0,CO U& u1){RE Product(u0,u1);} TE CL VirtualMonoid:virtual PU VirtualMagma,virtual PU VirtualPointedSet{};TE CL AdditiveMonoid:virtual PU VirtualMonoid,PU PointedSet{PU:IN U Product(CO U& u0,CO U& u1);};TE CL MultiplicativeMonoid:virtual PU VirtualMonoid,PU PointedSet{PU:IN MultiplicativeMonoid(CO U& e_U);IN U Product(CO U& u0,CO U& u1);};TE CL AbstractMonoid:virtual PU VirtualMonoid,PU AbstractMagma,PU PointedSet{PU:IN AbstractMonoid(M_U& m_U,CO U& e_U);IN U Product(CO U& u0,CO U& u1);}; TE IN MultiplicativeMonoid::MultiplicativeMonoid(CO U& e_U):PointedSet(e_U){}TE IN AbstractMonoid::AbstractMonoid(M_U& m_U,CO U& e_U):AbstractMagma(m_U),PointedSet(e_U){}TE IN U AdditiveMonoid::Product(CO U& u0,CO U& u1){RE u0 + u1;}TE IN U MultiplicativeMonoid::Product(CO U& u0,CO U& u1){RE u0 * u1;}TE IN U AbstractMonoid::Product(CO U& u0,CO U& u1){RE m_m_U(u0,u1);} TE CL VirtualGroup:virtual PU VirtualMonoid,virtual PU VirtualPointedSet,virtual PU VirtualNSet{};TE CL AdditiveGroup:virtual PU VirtualGroup,PU AdditiveMonoid{PU:IN U Transfer(CO U& u);};TE CL AbstractGroup:virtual PU VirtualGroup,PU AbstractMonoid,PU AbstractNSet{PU:IN AbstractGroup(M_U& m_U,CO U& e_U,I_U& i_U);IN U Transfer(CO U& u);};TE IN AbstractGroup::AbstractGroup(M_U& m_U,CO U& e_U,I_U& i_U):AbstractMonoid(m_U,e_U),AbstractNSet(i_U){}TE IN U AbstractGroup::Transfer(CO U& u){RE m_i_U(u);}TE IN U AdditiveGroup::Transfer(CO U& u){RE -u;} TE CL VirtualRing{PU:GROUP m_R0;MONOID m_R1;IN VirtualRing(GROUP R0,MONOID R1);IN U Sum(CO U& u0,CO U& u1);IN CO U& Zero()CO NE;IN U Inverse(CO U& u);IN U Product(CO U& u0,CO U& u1);IN CO U& One()CO NE;IN GROUP& AdditiveGroup()NE;IN MONOID& MultiplicativeMonoid()NE;};TE CL Ring:virtual PU VirtualRing,MultiplicativeMonoid>{PU:IN Ring(CO U& one_U);};TE CL AbstractRing:virtual PU VirtualRing,AbstractMonoid>{PU:IN AbstractRing(A_U& a_U,CO U& z_U,I_U& i_U,M_U& m_U,CO U& e_U);}; TE IN VirtualRing::VirtualRing(GROUP R0,MONOID R1):m_R0(MO(R0)),m_R1(MO(R1)){}TE IN Ring::Ring(CO U& one_U):VirtualRing,MultiplicativeMonoid>(AdditiveGroup(),MultiplicativeMonoid(one_U)){}TE IN AbstractRing::AbstractRing(A_U& a_U,CO U& z_U,I_U& i_U,M_U& m_U,CO U& e_U):VirtualRing,AbstractMonoid>(AbstractGroup(a_U,z_U,i_U),AbstractMonoid(m_U,e_U)){}TE IN U VirtualRing::Sum(CO U& u0,CO U& u1){RE m_R0.Sum(u0,u1);}TE IN CO U& VirtualRing::Zero()CO NE{RE m_R0.Zero();}TE IN U VirtualRing::Inverse(CO U& u){RE m_R0.Inverse(u);}TE IN U VirtualRing::Product(CO U& u0,CO U& u1){RE m_R1.Product(u0,u1);}TE IN CO U& VirtualRing::One()CO NE{RE m_R1.One();}TE IN GROUP& VirtualRing::AdditiveGroup()NE{RE m_R0;}TE IN MONOID& VirtualRing::MultiplicativeMonoid()NE{RE m_R1;} // Graph // c:/Users/user/Documents/Programming/Mathematics/Geometry/Graph/compress.txt #define SFINAE_FOR_GRAPH TY T,TY E,enable_if_t,void*> PTR TE CL VirtualGraph:PU PointedSet{PU:E m_edge;IN VirtualGraph(CRI SZ,E edge);virtual R1 Enumeration(CRI i)= 0;virtual R2 Enumeration_inv(CO T& t)= 0;IN VO Reset();IN E& edge()NE;IN ret_t Edge(CO T& t);US type = T;};TE CL Graph:virtual PU VirtualGraph{PU:IN Graph(CRI SZ,E edge);IN CRI Enumeration(CRI i);IN CRI Enumeration_inv(CRI t);TE IN Graph GetGraph(F edge)CO;};TE CL EnumerationGraph:virtual PU VirtualGraph,ret_t,E>{PU:Enum_T& m_enum_T;Enum_T_inv& m_enum_T_inv;IN EnumerationGraph(CRI SZ,Enum_T& enum_T,Enum_T_inv& enum_T_inv,E edge);IN ret_t Enumeration(CRI i);IN ret_t Enumeration_inv(CO T& t);TE IN EnumerationGraph GetGraph(F edge)CO;};TE EnumerationGraph(CRI SZ,Enum_T& enum_T,Enum_T_inv& enum_T_inv,E edge)-> EnumerationGraph()(0)),Enum_T,Enum_T_inv,E>;TE CL MemorisationGraph:virtual PU VirtualGraph{PU:int m_LE;VE m_memory;Map m_memory_inv;IN MemorisationGraph(CRI SZ,E edge);IN T Enumeration(CRI i);IN CRI Enumeration_inv(CO T& t);IN VO Reset();TE IN MemorisationGraph GetGraph(F edge)CO;};TE MemorisationGraph(CRI SZ,E edge)-> MemorisationGraph()().back()),E>;TE MemorisationGraph(CRI SZ,E edge)-> MemorisationGraph(declval()().back())),E>; TE IN VirtualGraph::VirtualGraph(CRI SZ,E edge):PointedSet(SZ),m_edge(MO(edge)){ST_AS(is_COructible_v && is_COructible_v && is_invocable_v);}TE IN Graph::Graph(CRI SZ,E edge):VirtualGraph(SZ,MO(edge)){}TE IN EnumerationGraph::EnumerationGraph(CRI SZ,Enum_T& enum_T,Enum_T_inv& enum_T_inv,E edge):VirtualGraph,ret_t,E>(SZ,MO(edge)),m_enum_T(enum_T),m_enum_T_inv(enum_T_inv){}TE IN MemorisationGraph::MemorisationGraph(CRI SZ,E edge):VirtualGraph(SZ,MO(edge)),m_LE(),m_memory(),m_memory_inv(){}TE IN E& VirtualGraph::edge()NE{RE m_edge;}TE IN ret_t VirtualGraph::Edge(CO T& t){RE m_edge(t);}TE IN CRI Graph::Enumeration(CRI i){RE i;}TE IN ret_t EnumerationGraph::Enumeration(CRI i){RE m_enum_T(i);}TE IN T MemorisationGraph::Enumeration(CRI i){AS(0 <= i && i < m_LE);RE m_memory[i];}TE IN CRI Graph::Enumeration_inv(CRI i){RE i;}TE IN ret_t EnumerationGraph::Enumeration_inv(CO T& t){RE m_enum_T_inv(t);}TE IN CRI MemorisationGraph::Enumeration_inv(CO T& t){if(m_memory_inv.count(t)== 0){AS(m_LE < TH->SZ());m_memory.push_back(t);RE m_memory_inv[t]= m_LE++;}RE m_memory_inv[t];}TE VO VirtualGraph::Reset(){}TE IN VO MemorisationGraph::Reset(){m_LE = 0;m_memory.clear();m_memory_inv.clear();}TE TE IN Graph Graph::GetGraph(F edge)CO{RE Graph(TH->SZ(),MO(edge));}TE TE IN EnumerationGraph EnumerationGraph::GetGraph(F edge)CO{RE EnumerationGraph(TH->SZ(),m_enum_T,m_enum_T_inv,MO(edge));}TE TE IN MemorisationGraph MemorisationGraph::GetGraph(F edge)CO{RE MemorisationGraph(TH->SZ(),MO(edge));} // 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