// 入力制約チェック #ifdef INCLUDE_MAIN inline void Solve() { CEXPR( int , bound_N , 100 ); CIN_ASSERT( N , 2 , bound_N ); CIN_ASSERT( M , 1 , N * ( N - 1 ) / 2 ); UnionFindForest<> uff( N * 2 ); REPEAT( N ){ uff.push_RightMost( 0 ); } REPEAT( N ){ uff.push_RightMost( 0 ); } bool found[N*N]{}; FOR( j , 0 , M ){ CIN_ASSERT( uj , 1 , N ); CIN_ASSERT( vj , 1 , N ); uj--; vj--; assert( uj != vj ); assert( !found[uj*N+vj] && !found[uj+vj*N] ); found[uj*N+vj] = found[uj+vj*N] = true; uff.Graft( uj , vj + N ); uff.Graft( uj + N , vj ); } bool valid = true; FOR( i , 0 , N ){ if( uff.GetRootOfNode( i ) == uff.GetRootOfNode( i + N ) ){ valid = false; } } RETURN( valid ? "Yes" : "No" ); } REPEAT_MAIN(1); #else // INCLUDE_MAIN #ifdef INCLUDE_SUB // VVV テンプレート引数用の関数は以下に挿入する。 // AAA テンプレート引数用の関数は以上に挿入する。 #define INCLUDE_MAIN #include __FILE__ #else // INCLUDE_SUB #ifdef INCLUDE_LIBRARY // 圧縮用 #define TE template #define TY typename #define US using #define ST static #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 MO move #define TH this #define CRI CO int& #define CRUI CO uint& #define CRL CO ll& // https://github.com/p-adic/cpp // VVV ライブラリは以下に挿入する。 // 1つ目のコンストラクタは領域を確保するだけなのでpush_RightMostで要素を追加する必要があることに注意。 TE CL EntryOfVLTree{PU:T m_t;EntryOfVLTree* m_left_branch;EntryOfVLTree* m_right_branch;EntryOfVLTree* m_leftmost_node;EntryOfVLTree* m_rightmost_node;IN EntryOfVLTree();TE IN EntryOfVLTree(CO Arg&);TE IN EntryOfVLTree(CO Arg&,EntryOfVLTree* CO&,EntryOfVLTree* CO&);IN EntryOfVLTree(CO EntryOfVLTree&);EntryOfVLTree& OP=(CO EntryOfVLTree&);}; TE IN EntryOfVLTree::EntryOfVLTree(): m_t(),m_left_branch(TH),m_right_branch(TH),m_leftmost_node(TH),m_rightmost_node(TH){}TE TE IN EntryOfVLTree::EntryOfVLTree(CO Arg& t): EntryOfVLTree(t,TH,TH){}TE TE IN EntryOfVLTree::EntryOfVLTree(CO Arg& t,EntryOfVLTree* CO& left_branch,EntryOfVLTree* CO& right_branch): m_t(t),m_left_branch(left_branch),m_right_branch(right_branch),m_leftmost_node(TH),m_rightmost_node(TH){}TE IN EntryOfVLTree::EntryOfVLTree(CO EntryOfVLTree& e): m_t(e.m_t),m_left_branch(e.m_left_branch == &e?TH:e.m_left_branch),m_right_branch(e.m_right_branch == &e?TH:e.m_right_branch),m_leftmost_node(TH),m_rightmost_node(TH){if(e.m_leftmost_node != &e){m_leftmost_node = e.m_leftmost_node;m_rightmost_node = e.m_rightmost_node;}}TE EntryOfVLTree& EntryOfVLTree::OP=(CO EntryOfVLTree& e){m_t = e.m_t;m_left_branch =(e.m_left_branch == &e?TH:e.m_left_branch);m_right_branch =(e.m_right_branch == &e?TH:e.m_right_branch);if(e.m_leftmost_node == &e){m_leftmost_node = m_rightmost_node = TH;}else{m_leftmost_node = e.m_leftmost_node;m_rightmost_node = e.m_rightmost_node;}RE *TH;} TE CL IteratorOfVLTree{PU:EntryOfVLTree* m_p;IN IteratorOfVLTree()NE;IN IteratorOfVLTree(EntryOfVLTree* CO&)NE;IN IteratorOfVLTree(CO IteratorOfVLTree&)NE;IN T& OP*()CO;IN T* OP->()CO;IN IteratorOfVLTree& OP=(CO IteratorOfVLTree&)NE;IteratorOfVLTree& OP++(int)NE;IteratorOfVLTree& OP--(int)NE;IteratorOfVLTree& OP[](CO int&);IteratorOfVLTree& Shift()NE;TE IteratorOfVLTree& Shift(CO int&,CO Args&...);IN bool IsLeaf()CO NE;IN bool IsLeftMost()CO NE;IN bool IsRightMost()CO NE;IN bool IsValid()CO NE;}; TE CL COIteratorOfVLTree{PU:CO EntryOfVLTree* m_p;IN COIteratorOfVLTree()NE;IN COIteratorOfVLTree(CO EntryOfVLTree* CO&)NE;IN COIteratorOfVLTree(CO COIteratorOfVLTree&)NE;IN COIteratorOfVLTree(CO IteratorOfVLTree&)NE;IN CO T& OP*()CO;IN CO T* OP->()CO;IN COIteratorOfVLTree& OP=(CO COIteratorOfVLTree&)NE;IN COIteratorOfVLTree& OP=(CO IteratorOfVLTree&)NE;COIteratorOfVLTree& OP++(int)NE;COIteratorOfVLTree& OP--(int)NE;COIteratorOfVLTree& OP[](CO int&);COIteratorOfVLTree& Shift()NE;TE COIteratorOfVLTree& Shift(CO int&,CO Args&...);IN bool IsLeaf()CO NE;IN bool IsLeftMost()CO NE;IN bool IsRightMost()CO NE;IN bool IsValid()CO NE;ST IN bool Equal(CO IteratorOfVLTree&,CO IteratorOfVLTree&)NE;ST IN bool Equal(CO COIteratorOfVLTree&,CO IteratorOfVLTree&)NE;ST IN bool Equal(CO IteratorOfVLTree&,CO COIteratorOfVLTree&)NE;ST IN bool Equal(CO COIteratorOfVLTree&,CO COIteratorOfVLTree&)NE;}; TE IN IteratorOfVLTree::IteratorOfVLTree()NE:m_p(nullptr){}TE IN IteratorOfVLTree::IteratorOfVLTree(EntryOfVLTree* CO& p)NE:m_p(p){}TE IN IteratorOfVLTree::IteratorOfVLTree(CO IteratorOfVLTree& IT)NE:m_p(IT.m_p){}TE IN T& IteratorOfVLTree::OP*()CO{RE m_p->m_t;}TE IN T* IteratorOfVLTree::OP->()CO{RE &(*(*TH));}TE IN IteratorOfVLTree& IteratorOfVLTree::OP=(CO IteratorOfVLTree& IT)NE{m_p = IT.m_p;RE *TH;}TE IteratorOfVLTree& IteratorOfVLTree::OP++(int)NE{if(m_p == nullptr){RE *TH;}if(m_p == m_p->m_right_branch){m_p = nullptr;}else{m_p = m_p->m_right_branch;}RE *TH;}TE IteratorOfVLTree& IteratorOfVLTree::OP--(int)NE{if(m_p == nullptr){RE *TH;}if(m_p == m_p->m_left_branch){m_p = nullptr;}else{m_p = m_p->m_left_branch;}RE *TH;}TE IteratorOfVLTree& IteratorOfVLTree::OP[](CO int& n){if(n > 0){m_p = m_p->m_leftmost_node;for(int i = 1;i < n;i++){m_p = m_p->m_right_branch;}}else{if(n < 0){m_p = m_p->m_rightmost_node;for(int i = -1;n < i;i--){m_p = m_p->m_left_branch;}}}RE *TH;}TE IteratorOfVLTree& IteratorOfVLTree::Shift()NE{RE *TH;}TE TE IteratorOfVLTree& IteratorOfVLTree::Shift(CO int& n,CO Args&... args){OP[](n);RE Shift(args...);}TE IN bool IteratorOfVLTree::IsLeaf()CO NE{RE(m_p == nullptr)? false :(m_p == m_p->m_leftmost_node);}TE IN bool IteratorOfVLTree::IsLeftMost()CO NE{RE(m_p == nullptr)? false :(m_p == m_p->m_left_branch);}TE IN bool IteratorOfVLTree::IsRightMost()CO NE{RE(m_p == nullptr)? false :(m_p == m_p->m_right_branch);}TE IN bool IteratorOfVLTree::IsValid()CO NE{RE m_p != nullptr;}TE IN COIteratorOfVLTree::COIteratorOfVLTree()NE:m_p(nullptr){}TE IN COIteratorOfVLTree::COIteratorOfVLTree(CO EntryOfVLTree* CO& p)NE:m_p(p){}TE IN COIteratorOfVLTree::COIteratorOfVLTree(CO COIteratorOfVLTree& IT)NE:m_p(IT.m_p){}TE IN COIteratorOfVLTree::COIteratorOfVLTree(CO IteratorOfVLTree& IT)NE:m_p(IT.m_p){}TE IN CO T& COIteratorOfVLTree::OP*()CO{RE m_p->m_t;};TE IN CO T* COIteratorOfVLTree::OP->()CO{RE &(*(*TH));}TE IN COIteratorOfVLTree& COIteratorOfVLTree::OP=(CO COIteratorOfVLTree& IT)NE{m_p = IT.m_p;RE *TH;}TE IN COIteratorOfVLTree& COIteratorOfVLTree::OP=(CO IteratorOfVLTree& IT)NE{m_p = IT.m_p;RE *TH;}TE COIteratorOfVLTree& COIteratorOfVLTree::OP++(int)NE{if(m_p == nullptr){RE *TH;}if(m_p == m_p->m_right_branch){m_p = nullptr;}else{m_p = m_p->m_right_branch;}RE *TH;}TE COIteratorOfVLTree& COIteratorOfVLTree::OP--(int)NE{if(m_p == nullptr){RE *TH;}if(m_p == m_p->m_left_branch){m_p = nullptr;}else{m_p = m_p->m_left_branch;}RE *TH;}TE COIteratorOfVLTree& COIteratorOfVLTree::OP[](CO int& n){if(n > 0){m_p = m_p->m_leftmost_node;for(int i = 1;i < n;i++){m_p = m_p->m_right_branch;}}if(n < 0){m_p = m_p->m_rightmost_node;for(int i = -1;n < i;i--){m_p = m_p->m_left_branch;}}RE *TH;}TE COIteratorOfVLTree& COIteratorOfVLTree::Shift()NE{RE *TH;}TE TE COIteratorOfVLTree& COIteratorOfVLTree::Shift(CO int& n,CO Args&... args){OP[](n);RE Shift(args...);}TE IN bool COIteratorOfVLTree::IsLeaf()CO NE{RE(m_p == nullptr)? false :(m_p == m_p->m_leftmost_mode);}TE IN bool COIteratorOfVLTree::IsLeftMost()CO NE{RE(m_p == nullptr)? false :(m_p == m_p->m_left_branch);}TE IN bool COIteratorOfVLTree::IsRightMost()CO NE{RE(m_p == nullptr)? false :(m_p == m_p->m_right_branch);}TE IN bool COIteratorOfVLTree::IsValid()CO NE{RE m_p != nullptr;}TE IN bool COIteratorOfVLTree::Equal(CO IteratorOfVLTree& IT0,CO IteratorOfVLTree& IT1)NE{RE IT0.m_p == IT1.m_p;}TE IN bool COIteratorOfVLTree::Equal(CO COIteratorOfVLTree& IT0,CO IteratorOfVLTree& IT1)NE{RE IT0.m_p == IT1.m_p;}TE IN bool COIteratorOfVLTree::Equal(CO IteratorOfVLTree& IT0,CO COIteratorOfVLTree& IT1)NE{RE IT0.m_p == IT1.m_p;}TE IN bool COIteratorOfVLTree::Equal(CO COIteratorOfVLTree& IT0,CO COIteratorOfVLTree& IT1)NE{RE IT0.m_p == IT1.m_p;}TE IN bool OP==(CO IteratorOfVLTree& IT0,CO IteratorOfVLTree& IT1)NE{RE COIteratorOfVLTree::Equal(IT0,IT1);}TE IN bool OP!=(CO IteratorOfVLTree& IT0,CO IteratorOfVLTree& IT1)NE{RE !(IT0 == IT1);}TE IN bool OP==(CO COIteratorOfVLTree& IT0,CO IteratorOfVLTree& IT1)NE{RE COIteratorOfVLTree::Equal(IT0,IT1);}TE IN bool OP!=(CO COIteratorOfVLTree& IT0,CO IteratorOfVLTree& IT1)NE{RE !(IT0 == IT1);}TE IN bool OP==(CO IteratorOfVLTree& IT0,CO COIteratorOfVLTree& IT1)NE{RE COIteratorOfVLTree::Equal(IT0,IT1);}TE IN bool OP!=(CO IteratorOfVLTree& IT0,CO COIteratorOfVLTree& IT1)NE{RE !(IT0 == IT1);}TE IN bool OP==(CO COIteratorOfVLTree& IT0,CO COIteratorOfVLTree& IT1)NE{RE COIteratorOfVLTree::Equal(IT0,IT1);}TE IN bool OP!=(CO COIteratorOfVLTree& IT0,CO COIteratorOfVLTree& IT1)NE{RE !(IT0 == IT1);} TE CL WrappedType{PU:Arg m_t;TE IN WrappedType(CO ARGS&... args);IN VO Set(CO Arg& t);IN CO Arg& Get()CO NE;}; TE CL WrappedTypes{}; TE TE IN WrappedType::WrappedType(CO ARGS&... args): m_t(args...){}TE IN VO WrappedType::Set(CO Arg& t){m_t = t;}TE IN CO Arg& WrappedType::Get()CO NE{RE m_t;} TE CL VLTree; TE CL VLSubTree{PU:EntryOfVLTree m_e;EntryOfVLTree* m_p_root;uint m_SZ;IN VLSubTree();TE IN VLSubTree(CO Arg1&,CO Arg2&...);TE IN VLSubTree(CO WrappedType& t);IN VLSubTree(CO VLSubTree&);IN VLSubTree(EntryOfVLTree&);IN VLSubTree(CO IteratorOfVLTree&);IN VLSubTree(CO int&,CO EntryOfVLTree&);IN VLSubTree(CO int&,CO COIteratorOfVLTree&);VO LeafToTree(CO VLSubTree&);VO Graft(VLSubTree&);virtual ~VLSubTree()= default;VLSubTree& OP=(CO VLSubTree&);IN CRUI SZ()CO NE;IN VO CutBranches();IN bool IsLeaf()CO NE;IN VLSubTree LeftMostSubTree();IN VLSubTree RightMostSubTree();IN VLTree LeftMostSubTreeCopy()CO;IN VLTree RightMostSubTreeCopy()CO;IN VO push_RightMost()CO NE;TE VO push_RightMost(CO Arg1&,CO Arg2&...);TE VO push_RightMost(CO VLTree&,CO Args&...);TE VO push_LeftMost(CO Arg&);VO pop_RightMost();VO pop_LeftMost();VO pop_Root();US iterator = IteratorOfVLTree;US CO_iterator = COIteratorOfVLTree;IN iterator LeftMostNode()NE;IN CO_iterator LeftMostNode()CO NE;IN iterator RightMostNode()NE;IN CO_iterator RightMostNode()CO NE;iterator LeftMostLeaf()NE;CO_iterator LeftMostLeaf()CO NE;iterator RightMostLeaf()NE;CO_iterator RightMostLeaf()CO NE;IN iterator Root()NE;IN CO_iterator Root()CO NE;TE IN iterator GetIterator(CO Args&...);TE IN CO_iterator GetIterator(CO Args&...)CO;TE VO insert(CO iterator&,CO Arg&);iterator erase(iterator&);IN CO T& GetRoot()CO NE;IN T& RefRoot()NE;IN VO SetRoot(CO T&);TE IN CO T& GetNode(CO Args&...)CO;VLSubTree OP[](CRUI);VLSubTree OP[](iterator&);VLTree OP[](CO CO_iterator&)CO;VLTree GetBranchCopy(CRUI)CO;VLTree GetBranchCopy(CO iterator&)CO;VLTree GetBranchCopy(CO CO_iterator&)CO;VO Concatenate(CO VLTree&);VO Concatenate(CO iterator&,CO VLTree&);bool CheckContain(CO iterator&)CO NE;bool CheckContain(CO CO_iterator&)CO NE;string Display()CO;}; TE IN VLSubTree::VLSubTree(): m_e(),m_p_root(&m_e),m_SZ(0){}TE TE IN VLSubTree::VLSubTree(CO Arg1& t0,CO Arg2&... t1): VLSubTree(){push_RightMost(t0,t1...);}TE TE IN VLSubTree::VLSubTree(CO WrappedType& t): m_e(t.Get()),m_p_root(&m_e),m_SZ(0){}TE IN VLSubTree::VLSubTree(CO VLSubTree& a): m_e(a.m_e.m_t),m_p_root(&m_e),m_SZ(0){LeafToTree(a);}TE VLSubTree::VLSubTree(EntryOfVLTree& e):m_e(e),m_p_root(&e),m_SZ(0){EntryOfVLTree* p = m_p_root->m_leftmost_node;if(p != m_p_root){m_SZ++;EntryOfVLTree* CO p_rightmost = m_p_root->m_rightmost_node;WH(p != p_rightmost){p = p->m_right_branch;m_SZ++;}}}TE IN VLSubTree::VLSubTree(CO IteratorOfVLTree& IT): VLSubTree(*(IT.m_p)){}TE VLSubTree::VLSubTree(CO int& dummy,CO EntryOfVLTree& e):m_e(e.m_t),m_p_root(&m_e),m_SZ(0){CO EntryOfVLTree* p = e.m_leftmost_node;CO EntryOfVLTree* CO p_rightmost = e.m_rightmost_node;bool b =(p != &e);WH(b){push_RightMost(VLTree(dummy,*p));b =(p != p_rightmost);p = p->m_right_branch;}}TE IN VLSubTree::VLSubTree(CO int& dummy,CO COIteratorOfVLTree& IT): VLSubTree(dummy,*(IT.m_p)){}TE VLSubTree& VLSubTree::OP=(CO VLSubTree& a){if(TH != &a){CutBranches();LeafToTree(a);}RE *TH;}TE VO VLSubTree::LeafToTree(CO VLSubTree& a){m_p_root->m_t = a.m_p_root->m_t;EntryOfVLTree* p = a.m_p_root->m_leftmost_node;CRUI N = a.m_SZ;for(uint n = 0;n < N;n++){push_RightMost(VLTree(0,*p));p = p->m_right_branch;}RE;}TE IN CRUI VLSubTree::SZ()CO NE{RE m_SZ;}TE IN VO VLSubTree::CutBranches(){WH(m_SZ > 0)pop_RightMost();}TE IN bool VLSubTree::IsLeaf()CO NE{RE m_SZ == 0;}TE IN VLSubTree VLSubTree::LeftMostSubTree(){RE VLSubTree(*(m_p_root->m_leftmost_node));}TE IN VLSubTree VLSubTree::RightMostSubTree(){RE VLSubTree(*(m_p_root->m_rightmost_node));}TE IN VLTree VLSubTree::LeftMostSubTreeCopy()CO{RE VLTree(0,*(m_p_root->m_leftmost_node));}TE IN VLTree VLSubTree::RightMostSubTreeCopy()CO{RE VLTree(0,*(m_p_root->m_rightmost_node));}TE IN VO VLSubTree::push_RightMost()CO NE{}TE TE VO VLSubTree::push_RightMost(CO Arg1& t0,CO Arg2&... t1){auto p = new EntryOfVLTree(t0);EntryOfVLTree*& p_rightmost = m_p_root->m_rightmost_node;if(p_rightmost == m_p_root){m_p_root->m_leftmost_node = p;}else{p->m_left_branch = p_rightmost;p_rightmost->m_right_branch = p;}p_rightmost = p;m_SZ++;push_RightMost(t1...);RE;}TE TE VO VLSubTree::push_RightMost(CO VLTree& t0,CO Args&... t1){push_RightMost(t0.m_p_root->m_t);Concatenate(t0);push_RightMost(t1...);RE;}TE TE VO VLSubTree::push_LeftMost(CO Arg& t){auto p = new EntryOfVLTree(t);EntryOfVLTree*& p_leftmost = m_p_root->m_leftmost_node;if(p_leftmost == m_p_root){m_p_root->m_rightmost_node = p;}else{p->m_right_branch = p_leftmost;p_leftmost->m_left_branch = p;}p_leftmost = p;m_SZ++;RE;}TE VO VLSubTree::pop_RightMost(){assert(m_SZ > 0);EntryOfVLTree* p_rightmost = m_p_root->m_rightmost_node;VLSubTree t{*p_rightmost};t.CutBranches();if(m_SZ == 1){m_p_root->m_leftmost_node = m_p_root;m_p_root->m_rightmost_node = m_p_root;}else{EntryOfVLTree* CO& p_rightmost_prev = p_rightmost->m_left_branch;m_p_root->m_rightmost_node = p_rightmost_prev;p_rightmost_prev->m_right_branch = p_rightmost_prev;}delete p_rightmost;m_SZ--;RE;}TE VO VLSubTree::pop_LeftMost(){assert(m_SZ > 0);EntryOfVLTree* p_leftmost = m_p_root->m_leftmost_node;VLSubTree t{*p_leftmost};t.CutBranches();if(m_SZ == 1){m_p_root->m_leftmost_node = m_p_root;m_p_root->m_rightmost_node = m_p_root;}else{EntryOfVLTree* CO& p_leftmost_next = p_leftmost->m_right_branch;m_p_root->m_leftmost_node = p_leftmost_next;p_leftmost_next->m_left_branch = p_leftmost_next;}delete p_leftmost;m_SZ--;RE;}TE VO VLSubTree::pop_Root(){assert(m_SZ == 1);EntryOfVLTree* p_unique_node = m_p_root->m_leftmost_node;m_p_root->m_t = p_unique_node->m_t;m_p_root->m_leftmost_node = p_unique_node->m_leftmost_node;m_p_root->m_rightmost_node = p_unique_node->m_rightmost_node;delete p_unique_node;EntryOfVLTree* p_node = m_p_root->m_leftmost_node;m_SZ = 0;if(p_node != m_p_root){m_SZ++;WH(p_node != p_node->m_right_branch){p_node = p_node->m_right_branch;m_SZ++;}}RE;}TE IN TY VLSubTree::iterator VLSubTree::LeftMostNode()NE{RE IteratorOfVLTree(m_p_root->m_leftmost_node);}TE IN TY VLSubTree::CO_iterator VLSubTree::LeftMostNode()CO NE{RE COIteratorOfVLTree(m_p_root->m_leftmost_node);}TE IN TY VLSubTree::iterator VLSubTree::RightMostNode()NE{RE IteratorOfVLTree(m_p_root->m_rightmost_node);}TE IN TY VLSubTree::CO_iterator VLSubTree::RightMostNode()CO NE{RE COIteratorOfVLTree(m_p_root->m_rightmost_node);}TE TY VLSubTree::iterator VLSubTree::LeftMostLeaf()NE{EntryOfVLTree* p = m_p_root->m_leftmost_node;WH(p != p->m_leftmost_node){p = p->m_leftmost_node;}RE IteratorOfVLTree(p);}TE TY VLSubTree::CO_iterator VLSubTree::LeftMostLeaf()CO NE{CO EntryOfVLTree* p = m_p_root->m_leftmost_node;WH(p != p->m_leftmost_node){p = p->m_leftmost_node;}RE COIteratorOfVLTree(p);}TE TY VLSubTree::iterator VLSubTree::RightMostLeaf()NE{EntryOfVLTree* p = m_p_root->m_rightmost_node;WH(p != p->m_rightmost_node){p = p->m_rightmost_node;}RE IteratorOfVLTree(p);}TE TY VLSubTree::CO_iterator VLSubTree::RightMostLeaf()CO NE{CO EntryOfVLTree* p = m_p_root->m_rightmost_node;WH(p != p->m_rightmost_node){p = p->m_rightmost_node;}RE COIteratorOfVLTree(p);}TE IN TY VLSubTree::iterator VLSubTree::Root()NE{RE IteratorOfVLTree(m_p_root);}TE IN TY VLSubTree::CO_iterator VLSubTree::Root()CO NE{RE COIteratorOfVLTree(m_p_root);}TE TE IN TY VLSubTree::iterator VLSubTree::GetIterator(CO Args&... args){RE Root().Shift(args...);}TE TE IN TY VLSubTree::CO_iterator VLSubTree::GetIterator(CO Args&... args)CO{RE Root().Shift(args...);}TE TE VO VLSubTree::insert(CO TY VLSubTree::iterator& IT,CO Arg& t){assert(CheckContain(IT));EntryOfVLTree* CO& p0 = IT.m_p;EntryOfVLTree* CO& p1 = p0->m_right_branch;auto p = new EntryOfVLTree(t,p0,p1);p1->m_left_branch = p;p0->m_right_branch = p;m_SZ++;RE;}TE TY VLSubTree::iterator VLSubTree::erase(TY VLSubTree::iterator& IT){assert(CheckContain(IT));EntryOfVLTree* CO p = IT.m_p;EntryOfVLTree* CO p0 = p->m_left_branch;EntryOfVLTree* CO p1 = p->m_right_branch;if(! IT.IsLeaf()){VLSubTree t_sub{*p};t_sub.CutBranches();}if(p0 != p){if(p != p1){IT++;p0->m_right_branch = p1;p1->m_left_branch = p0;}else{IT--;p0->m_right_branch = p0;m_p_root->m_rightmost_node = p0;}}else{if(p != p1){IT++;p1->m_left_branch = p1;m_p_root->m_leftmost_node = p1;}else{IT = Root();m_p_root->m_leftmost_node = m_p_root;m_p_root->m_rightmost_node = m_p_root;}}delete p;m_SZ--;RE IT;}TE IN CO T& VLSubTree::GetRoot()CO NE{RE m_p_root->m_t;}TE IN T& VLSubTree::RefRoot()NE{RE m_p_root->m_t;}TE IN VO VLSubTree::SetRoot(CO T& t){m_p_root->m_t = t;}TE TE IN CO T& VLSubTree::GetNode(CO Args&... args)CO{RE *(GetIterator(args...));}TE VLSubTree VLSubTree::OP[](CRUI i){assert(i < m_SZ);if(i <= m_SZ / 2){EntryOfVLTree* p = m_p_root->m_leftmost_node;for(uint n = 0;n < i;n++){p = p->m_right_branch;}RE VLSubTree(*p);}EntryOfVLTree* p = m_p_root->m_rightmost_node;for(uint n = m_SZ - 1;n > i;n--){p = p->m_left_branch;}RE VLSubTree(*p);}TE VLSubTree VLSubTree::OP[](TY VLSubTree::iterator& IT){assert(CheckContain(IT));RE VLSubTree(*(IT.m_p));}TE VLTree VLSubTree::OP[](CO TY VLSubTree::CO_iterator& IT)CO{assert(CheckContain(IT));RE VLTree(0,IT.m_p);}TE VLTree VLSubTree::GetBranchCopy(CRUI i)CO{assert(i < m_SZ);if(i <= m_SZ / 2){CO EntryOfVLTree* p = m_p_root->m_leftmost_node;for(uint n = 0;n < i;n++){p = p->m_right_branch;}RE VLTree(0,*p);}CO EntryOfVLTree* p = m_p_root->m_rightmost_node;for(uint n = m_SZ - 1;n > i;n--){p = p->m_left_branch;}RE VLTree(0,*p);}TE VLTree VLSubTree::GetBranchCopy(CO TY VLSubTree::iterator& IT)CO{assert(CheckContain(IT));RE VLTree(0,*(IT.m_p));}TE VLTree VLSubTree::GetBranchCopy(CO TY VLSubTree::CO_iterator& IT)CO{assert(CheckContain(IT));RE VLTree(0,*(IT.m_p));}TE VO VLSubTree::Concatenate(CO VLTree& t){EntryOfVLTree* CO p_rightmost = m_p_root->m_rightmost_node;assert(p_rightmost->m_rightmost_node == p_rightmost);if(m_p_root == p_rightmost){LeafToTree(t);}else{VLSubTree(*p_rightmost).LeafToTree(t);}RE;}TE VO VLSubTree::Concatenate(CO TY VLSubTree::iterator& IT,CO VLTree& t){assert(IT.IsLeaf());EntryOfVLTree* CO p = IT.m_p;if(m_p_root == p){LeafToTree(t);}else{VLSubTree(*p).LeafToTree(t);}RE;}TE VO VLSubTree::Graft(VLSubTree& t){EntryOfVLTree*& p_rightmost = m_p_root->m_rightmost_node;if(m_p_root == p_rightmost){p_rightmost = m_p_root->m_leftmost_node = t.m_p_root;}else{t.m_p_root->m_left_branch = p_rightmost;p_rightmost = p_rightmost->m_right_branch = t.m_p_root;}RE;}TE bool VLSubTree::CheckContain(CO iterator& IT)CO NE{auto p0 = IT.m_p;auto p1 = m_p_root->m_leftmost_node;for(uint i = 0;i < m_SZ;i++){if(p0 == p1){RE true;}p1 = p1->m_right_branch;}RE false;}TE bool VLSubTree::CheckContain(CO CO_iterator& IT)CO NE{auto p0 = IT.m_p;auto p1 = m_p_root->m_leftmost_node;for(uint i = 0;i < m_SZ;i++){if(p0 == p1){RE true;}p1 = p1->m_right_branch;}RE false;}TE string VLSubTree::Display()CO{string s = to_string(m_p_root->m_t);s += "(";CO EntryOfVLTree* p = m_p_root->m_leftmost_node;for(uint i = 0;i < m_SZ;i++){if(i > 0){s += ",";}s += VLTree(0,*p).Display();p = p->m_right_branch;}s += ")";RE s;}TE bool OP==(CO VLTree& t1,CO VLTree& t2){if(t1.GetRoot()!= t2.GetRoot()){RE false;}if(t1.IsLeaf()){RE t2.IsLeaf();}if(t2.IsLeaf()){RE false;}auto IT1 = t1.LeftMostNode();auto IT2 = t2.LeftMostNode();WH(IT1.IsValid()&& IT2.IsValid()){if(t1.GetBranchCopy(*IT1)!= t2.GetBranchCopy(*IT2)){RE false;}IT1++;IT2++;}RE !(IT1.IsValid()|| IT2.IsValid());}TE IN bool OP!=(CO VLTree& t1,CO VLTree& t2){RE !(t1 == t2);} TE CL EntryOfLinkedVE{PU:T m_t;uint m_prev_entry;uint m_next_entry;IN EntryOfLinkedVE();IN EntryOfLinkedVE(CRUI prev_entry,CRUI next_entry);IN EntryOfLinkedVE(EntryOfLinkedVE&& e);}; TE IN EntryOfLinkedVE::EntryOfLinkedVE(): m_t(),m_prev_entry(0),m_next_entry(0){}TE IN EntryOfLinkedVE::EntryOfLinkedVE(CRUI prev_entry,CRUI next_entry): m_t(),m_prev_entry(prev_entry),m_next_entry(next_entry){}TE IN EntryOfLinkedVE::EntryOfLinkedVE(EntryOfLinkedVE&& e): m_t(MO(e.m_t)),m_prev_entry(MO(e.m_prev_entry)),m_next_entry(MO(e.m_next_entry)){} TE CL LinkedVE; TE CL IteratorOfLinkedVE{PU:LinkedVE* m_p;uint m_i;IN IteratorOfLinkedVE(LinkedVE* CO& p,CRUI i)NE;IN IteratorOfLinkedVE(CO IteratorOfLinkedVE& IT)NE;IN T& OP*()CO;IN T* OP->()CO;IteratorOfLinkedVE& OP=(CO IteratorOfLinkedVE& IT)NE;IN VO OP++(int);IN VO OP--(int);IN CO LinkedVE& GetLinkedVE()CO NE;IN LinkedVE& RefLinkedVE()NE;IN CRUI GetIndex()CO NE;IN CRUI RefIndex()NE;}; TE CL COIteratorOfLinkedVE{PU:CO LinkedVE* m_p;uint m_i;IN COIteratorOfLinkedVE(CO LinkedVE* CO& p,CRUI i)NE;IN COIteratorOfLinkedVE(CO COIteratorOfLinkedVE& IT)NE;IN COIteratorOfLinkedVE(CO IteratorOfLinkedVE& IT)NE;IN CO T& OP*()CO;IN CO T* OP->()CO;COIteratorOfLinkedVE& OP=(CO COIteratorOfLinkedVE& IT)NE;COIteratorOfLinkedVE& OP=(CO IteratorOfLinkedVE& IT)NE;IN VO OP++(int);IN VO OP--(int);IN CO LinkedVE& GetLinkedVE()CO NE;IN CRUI GetIndex()CO NE;IN CRUI RefIndex()NE;ST IN bool Equal(CO IteratorOfLinkedVE&,CO IteratorOfLinkedVE&)NE;ST IN bool Equal(CO COIteratorOfLinkedVE&,CO IteratorOfLinkedVE&)NE;ST IN bool Equal(CO IteratorOfLinkedVE&,CO COIteratorOfLinkedVE&)NE;ST IN bool Equal(CO COIteratorOfLinkedVE&,CO COIteratorOfLinkedVE&)NE;}; TE IN IteratorOfLinkedVE::IteratorOfLinkedVE(LinkedVE* CO& p,CRUI i)NE:m_p(p),m_i(i){}TE IN IteratorOfLinkedVE::IteratorOfLinkedVE(CO IteratorOfLinkedVE& IT)NE:m_p(IT.m_p),m_i(IT.m_i){}TE IN T& IteratorOfLinkedVE::OP*()CO{RE(*m_p)[m_i];}TE IN T* IteratorOfLinkedVE::OP->()CO{RE &((*m_p)[m_i]);}TE IN IteratorOfLinkedVE& IteratorOfLinkedVE::OP=(CO IteratorOfLinkedVE& IT)NE{m_p = IT.m_p;m_i = IT.m_i;RE *TH;}TE IN VO IteratorOfLinkedVE::OP++(int){m_i = m_p->m_entry[m_i].m_next_entry;}TE IN VO IteratorOfLinkedVE::OP--(int){m_i = m_p->m_entry[m_i].m_prev_entry;}TE IN CO LinkedVE& IteratorOfLinkedVE::GetLinkedVE()CO NE{RE *m_p;}TE IN LinkedVE& IteratorOfLinkedVE::RefLinkedVE()NE{RE *m_p;}TE IN CRUI IteratorOfLinkedVE::GetIndex()CO NE{RE m_i;}TE IN CRUI IteratorOfLinkedVE::RefIndex()NE{RE m_i;}TE IN COIteratorOfLinkedVE::COIteratorOfLinkedVE(CO LinkedVE* CO& p,CRUI i)NE:m_p(p),m_i(i){}TE IN COIteratorOfLinkedVE::COIteratorOfLinkedVE(CO COIteratorOfLinkedVE& IT)NE:m_p(IT.m_p),m_i(IT.m_i){}TE IN COIteratorOfLinkedVE::COIteratorOfLinkedVE(CO IteratorOfLinkedVE& IT)NE:m_p(IT.m_p),m_i(IT.m_i){}TE IN CO T& COIteratorOfLinkedVE::OP*()CO{RE(*m_p)[m_i];}TE IN CO T* COIteratorOfLinkedVE::OP->()CO{RE &((*m_p)[m_i]);}TE COIteratorOfLinkedVE& COIteratorOfLinkedVE::OP=(CO COIteratorOfLinkedVE& IT)NE{m_p = IT.m_p;m_i = IT.m_i;RE *TH;}TE COIteratorOfLinkedVE& COIteratorOfLinkedVE::OP=(CO IteratorOfLinkedVE& IT)NE{m_p = IT.m_p;m_i = IT.m_i;RE *TH;}TE IN VO COIteratorOfLinkedVE::OP++(int){m_i = m_p->m_entry[m_i].m_next_entry;}TE IN VO COIteratorOfLinkedVE::OP--(int){m_i = m_p->m_entry[m_i].m_prev_entry;}TE IN CO LinkedVE& COIteratorOfLinkedVE::GetLinkedVE()CO NE{RE *m_p;}TE IN CRUI COIteratorOfLinkedVE::GetIndex()CO NE{RE m_i;}TE IN CRUI COIteratorOfLinkedVE::RefIndex()NE{RE m_i;}TE IN bool COIteratorOfLinkedVE::Equal(CO IteratorOfLinkedVE& IT0,CO IteratorOfLinkedVE& IT1)NE{RE IT0.m_p == IT1.m_p && IT0.m_i == IT1.m_i;}TE IN bool COIteratorOfLinkedVE::Equal(CO COIteratorOfLinkedVE& IT0,CO IteratorOfLinkedVE& IT1)NE{RE IT0.m_p == IT1.m_p && IT0.m_i == IT1.m_i;}TE IN bool COIteratorOfLinkedVE::Equal(CO IteratorOfLinkedVE& IT0,CO COIteratorOfLinkedVE& IT1)NE{RE IT0.m_p == IT1.m_p && IT0.m_i == IT1.m_i;}TE IN bool COIteratorOfLinkedVE::Equal(CO COIteratorOfLinkedVE& IT0,CO COIteratorOfLinkedVE& IT1)NE{RE IT0.m_p == IT1.m_p && IT0.m_i == IT1.m_i;}TE IN bool OP==(CO IteratorOfLinkedVE& IT0,CO IteratorOfLinkedVE& IT1)NE{RE COIteratorOfLinkedVE::Equal(IT0,IT1);}TE IN bool OP!=(CO IteratorOfLinkedVE& IT0,CO IteratorOfLinkedVE& IT1)NE{RE !(IT0 == IT1);}TE IN bool OP==(CO COIteratorOfLinkedVE& IT0,CO IteratorOfLinkedVE& IT1)NE{RE COIteratorOfLinkedVE::Equal(IT0,IT1);}TE IN bool OP!=(CO COIteratorOfLinkedVE& IT0,CO IteratorOfLinkedVE& IT1)NE{RE !(IT0 == IT1);}TE IN bool OP==(CO IteratorOfLinkedVE& IT0,CO COIteratorOfLinkedVE& IT1)NE{RE COIteratorOfLinkedVE::Equal(IT0,IT1);}TE IN bool OP!=(CO IteratorOfLinkedVE& IT0,CO COIteratorOfLinkedVE& IT1)NE{RE !(IT0 == IT1);}TE IN bool OP==(CO COIteratorOfLinkedVE& IT0,CO COIteratorOfLinkedVE& IT1)NE{RE COIteratorOfLinkedVE::Equal(IT0,IT1);}TE IN bool OP!=(CO COIteratorOfLinkedVE& IT0,CO COIteratorOfLinkedVE& IT1)NE{RE !(IT0 == IT1);} TE CL LinkedVE{PU:VE > m_entry;uint m_front_linked_entry;uint m_back_linked_entry;uint m_SZ_of_VE;uint m_SZ_of_link;IN LinkedVE();IN LinkedVE(CRUI max_SZ);IN CO T& OP[](CRUI i)CO;IN T& OP[](CRUI i);uint GetLinkedEntry(CRUI i)CO;IN CRUI GetFrontLinkedEntryIndex()CO NE;IN CRUI GetBackLinkedEntryIndex()CO NE;IN CRUI GetSZOfVE()CO NE;IN CRUI GetSZOfLink()CO NE;IN bool EmptyVE()CO NE;IN bool EmptyLink()CO NE;IN VO push_back();TE VO push_back(CO U& u);TE IN VO push_back(CO U& u,CO ARGS&... args);IN VO SetPreviousLink(CRUI i,CRUI j);IN VO SetNexttLink(CRUI i,CRUI j);IN CRUI GetPreviousLinkIndex(CRUI i)CO;IN CRUI GetNexttLinkIndex(CRUI i)CO;CRUI DeLink(CRUI i);VO ReLink(CRUI i);US iterator = IteratorOfLinkedVE;US CO_iterator = COIteratorOfLinkedVE;IN iterator GetIterator(CRUI i)NE;IN CO_iterator GetIterator(CRUI i)CO NE;IN iterator BE()NE;IN CO_iterator BE()CO NE;IN iterator EN()NE;IN CO_iterator EN()CO NE;iterator erase(iterator& IT);IN EntryOfLinkedVE& push_back_Body_0();IN VO push_back_Body_1(EntryOfLinkedVE& e);}; TE IN LinkedVE::LinkedVE(): m_entry(1),m_front_linked_entry(0),m_back_linked_entry(0),m_SZ_of_VE(0),m_SZ_of_link(0){}TE IN LinkedVE::LinkedVE(CRUI max_SZ): m_entry(),m_front_linked_entry(0),m_back_linked_entry(0),m_SZ_of_VE(0),m_SZ_of_link(0){m_entry.reserve(max_SZ + 1);m_entry.push_back(EntryOfLinkedVE());}TE IN CO T& LinkedVE::OP[](CRUI i)CO{RE m_entry[i].m_t;}TE IN T& LinkedVE::OP[](CRUI i){RE m_entry[i].m_t;}TE uint LinkedVE::GetLinkedEntry(CRUI i)CO{uint linked_entry = m_front_linked_entry;for(uint j = 0;j < i;j++){linked_entry = m_entry[linked_entry].m_next_entry;}RE linked_entry;}TE IN CRUI LinkedVE::GetFrontLinkedEntryIndex()CO NE{RE m_front_linked_entry;}TE IN CRUI LinkedVE::GetBackLinkedEntryIndex()CO NE{RE m_back_linked_entry;}TE IN CRUI LinkedVE::GetSZOfVE()CO NE{RE m_SZ_of_VE;}TE IN CRUI LinkedVE::GetSZOfLink()CO NE{RE m_SZ_of_link;}TE IN bool LinkedVE::EmptyVE()CO NE{RE m_SZ_of_VE == 0;}TE IN bool LinkedVE::EmptyLink()CO NE{RE m_SZ_of_link == 0;}TE IN VO LinkedVE::push_back(){}TE TE VO LinkedVE::push_back(CO U& u){EntryOfLinkedVE& e = push_back_Body_0();e.m_t = u;push_back_Body_1(e);RE;}TE TE IN VO LinkedVE::push_back(CO U& u,CO ARGS&... args){push_back(u);push_back(args...);}TE IN EntryOfLinkedVE& LinkedVE::push_back_Body_0(){m_entry.push_back(EntryOfLinkedVE(m_SZ_of_VE,m_front_linked_entry));RE m_entry[m_SZ_of_VE];}TE IN VO LinkedVE::push_back_Body_1(EntryOfLinkedVE& e){e.m_next_entry = m_SZ_of_VE + 1;m_entry[m_front_linked_entry].m_prev_entry = m_SZ_of_VE + 1;m_back_linked_entry = m_SZ_of_VE;m_SZ_of_VE++;m_SZ_of_link++;}TE IN VO LinkedVE::SetPreviousLink(CRUI i,CRUI j){m_entry[i].m_prev_entry = j;}TE IN VO LinkedVE::SetNexttLink(CRUI i,CRUI j){m_entry[i].m_next_entry = j;}TE IN CRUI LinkedVE::GetPreviousLinkIndex(CRUI i)CO{RE m_entry[i].m_prev_entry;}TE IN CRUI LinkedVE::GetNexttLinkIndex(CRUI i)CO{RE m_entry[i].m_next_entry;}TE CRUI LinkedVE::DeLink(CRUI i){CO EntryOfLinkedVE& e = m_entry[i];m_entry[e.m_prev_entry].m_next_entry = e.m_next_entry;m_entry[e.m_next_entry].m_prev_entry = e.m_prev_entry;if(m_front_linked_entry == i){m_front_linked_entry = e.m_next_entry;}if(m_back_linked_entry == i){m_back_linked_entry = e.m_prev_entry;}m_SZ_of_link--;RE e.m_next_entry;}TE VO LinkedVE::ReLink(CRUI i){EntryOfLinkedVE& current_entry = m_entry[i];if(m_SZ_of_link == 0){EntryOfLinkedVE& EN_entry = m_entry[m_SZ_of_VE];EN_entry.m_prev_entry = EN_entry.m_next_entry = i;current_entry.m_prev_entry = current_entry.m_next_entry = m_SZ_of_VE;m_front_linked_entry = m_back_linked_entry = i;}else{uint prev;if(m_front_linked_entry > i){m_front_linked_entry = i;prev = m_SZ_of_VE;}else{prev = m_front_linked_entry;}if(m_back_linked_entry < i){m_back_linked_entry = i;}prev = m_entry[prev].m_next_entry;WH(prev < i){prev = m_entry[prev].m_next_entry;}CO uint next = prev;EntryOfLinkedVE& next_entry = m_entry[next];prev = next_entry.m_prev_entry;EntryOfLinkedVE& prev_entry = m_entry[prev];prev_entry.m_next_entry = i;current_entry.m_prev_entry = prev;current_entry.m_next_entry = next;next_entry.m_prev_entry = i;}m_SZ_of_link++;RE;}TE IN TY LinkedVE::iterator LinkedVE::GetIterator(CRUI i)NE{RE TY LinkedVE::iterator(TH,i);}TE IN TY LinkedVE::CO_iterator LinkedVE::GetIterator(CRUI i)CO NE{RE TY LinkedVE::CO_iterator(TH,i);}TE IN TY LinkedVE::iterator LinkedVE::BE()NE{RE TY LinkedVE::iterator(TH,m_front_linked_entry);}TE IN TY LinkedVE::CO_iterator LinkedVE::BE()CO NE{RE TY LinkedVE::CO_iterator(TH,m_front_linked_entry);}TE IN TY LinkedVE::iterator LinkedVE::EN()NE{RE TY LinkedVE::iterator(TH,m_SZ_of_VE);}TE IN TY LinkedVE::CO_iterator LinkedVE::EN()CO NE{RE TY LinkedVE::CO_iterator(TH,m_SZ_of_VE);}TE TY LinkedVE::iterator LinkedVE::erase(TY LinkedVE::iterator& IT){RE TY LinkedVE::iterator(TH,DeLink(IT.m_i));} TE CL EntryOfUnionFindForest{PU:VLSubTree m_node;uint m_pred_node;uint m_root;uint m_depth;IN EntryOfUnionFindForest();IN EntryOfUnionFindForest(CO T& t,CRUI num);IN EntryOfUnionFindForest(EntryOfUnionFindForest&& e);};TE IN EntryOfUnionFindForest::EntryOfUnionFindForest(): m_node(),m_pred_node(0),m_root(0),m_depth(0){}TE IN EntryOfUnionFindForest::EntryOfUnionFindForest(CO T& t,CRUI num): m_node(),m_pred_node(num),m_root(num),m_depth(0){m_node.SetRoot(t);}TE IN EntryOfUnionFindForest::EntryOfUnionFindForest(EntryOfUnionFindForest&& e): m_node(),m_pred_node(MO(e.m_pred_node)),m_root(MO(e.m_root)),m_depth(MO(e.m_depth)){m_node.SetRoot(MO(e.m_node.m_p_root->m_t));} TE CL UnionFindForest:PU LinkedVE >{PU:IN UnionFindForest(CRUI max_SZ);IN UnionFindForest(CRUI max_SZ,CRUI SZ);IN CO VLSubTree& GetSubTree(CRUI num)CO;IN CRUI GetPredecessorNode(CRUI num)CO;CRUI GetRootOfNode(CRUI num);uint GetRoot(CRUI num)CO;TE TY V> VO SetRoot(V&a)CO;IN CO T& OP[](CRUI num)CO;IN T& OP[](CRUI num);IN CRUI GetSZOfNode()CO NE;IN CRUI GetSZOfRoot()CO NE;IN VO push_RightMost();VO push_RightMost(CO T& t);TE IN VO push_RightMost(CO T& t,CO ARGS&... args);IN VO push_back()= delete;TE VO push_back(CO U& u)= delete;TE IN VO push_back(CO U& u,CO ARGS&... args)= delete;IN VO SetPreviousLink(CRUI i,CRUI j)= delete;IN VO SetNexttLink(CRUI i,CRUI j)= delete;IN CRUI GetPreviousLinkIndex(CRUI i)CO = delete;IN CRUI GetNexttLinkIndex(CRUI i)CO = delete;CRUI DeLink(CRUI i)= delete;VO ReLink(CRUI i)= delete;VO Graft(CRUI num0,CRUI num1);}; TE IN UnionFindForest::UnionFindForest(CRUI max_SZ): LinkedVE >(max_SZ){}TE IN UnionFindForest::UnionFindForest(CRUI max_SZ,CRUI SZ): UnionFindForest(max_SZ){T t{};for(int i=0;i IN CO VLSubTree& UnionFindForest::GetSubTree(CRUI num)CO{RE LinkedVE >::OP[](num).m_node;}TE IN CRUI UnionFindForest::GetPredecessorNode(CRUI num)CO{RE LinkedVE >::OP[](num).m_pred_node;}TE CRUI UnionFindForest::GetRootOfNode(CRUI num){uint& root = LinkedVE >::OP[](num).m_root;if(root != LinkedVE >::OP[](root).m_root){root = GetRootOfNode(root);}RE root;}TE uint UnionFindForest::GetRoot(CRUI num)CO{auto IT = LinkedVE >::BE();for(uint i = 0;i < num;i++){IT++;}RE IT.GetIndex();}TE TE TY V>VO UnionFindForest::SetRoot(V&a)CO{a.clear();for(auto IT = LinkedVE >::BE(),EN = LinkedVE >::EN();IT != EN;IT++){a.push_back(IT.GetIndex());}RE;}TE IN CO T& UnionFindForest::OP[](CRUI num)CO{RE LinkedVE >::OP[](num).m_node.GetRoot();}TE IN T& UnionFindForest::OP[](CRUI num){RE LinkedVE >::OP[](num).m_node.RefRoot();}TE IN CRUI UnionFindForest::GetSZOfNode()CO NE{RE LinkedVE >::GetSZOfVE();}TE IN CRUI UnionFindForest::GetSZOfRoot()CO NE{RE LinkedVE >::GetSZOfLink();}TE IN VO UnionFindForest::push_RightMost(){}TE VO UnionFindForest::push_RightMost(CO T& t){EntryOfLinkedVE >& e = LinkedVE >::push_back_Body_0();e.m_t.m_node.SetRoot(t);e.m_t.m_pred_node = e.m_t.m_root = LinkedVE >::m_SZ_of_VE;LinkedVE >::push_back_Body_1(e);RE;}TE TE IN VO UnionFindForest::push_RightMost(CO T& t,CO ARGS&... args){push_RightMost(t);push_RightMost(args...);}TE VO UnionFindForest::Graft(CRUI num0,CRUI num1){CRUI e0_root_index = GetRootOfNode(num0);CRUI e1_root_index = GetRootOfNode(num1);if(e0_root_index == e1_root_index){RE;}EntryOfUnionFindForest& e0_root = LinkedVE >::OP[](e0_root_index);EntryOfUnionFindForest& e1_root = LinkedVE >::OP[](e1_root_index);CO uint i0 =(e0_root.m_depth < e1_root.m_depth?0:1);CO uint i1 = 1 - i0;EntryOfUnionFindForest* CO p_e_root[2] ={&e0_root,&e1_root};EntryOfUnionFindForest& root_0 = *(p_e_root[i0]);EntryOfUnionFindForest& root_1 = *(p_e_root[i1]);if(root_0.m_depth == root_1.m_depth){root_1.m_depth++;}root_1.m_node.Graft(root_0.m_node);LinkedVE >::DeLink(root_0.m_root);root_0.m_root = root_0.m_pred_node = root_1.m_root;RE;} // AAA ライブラリは以上に挿入する。 #define INCLUDE_SUB #include __FILE__ #else // INCLUDE_LIBRARY // #define REACTIVE // #define USE_GETLINE #ifdef DEBUG #define _GLIBCXX_DEBUG #define SIGNAL signal( SIGABRT , &AlertAbort ); #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 ) ); 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 DEXPR( LL , BOUND , VALUE , DEBUG_VALUE ) CEXPR( LL , BOUND , VALUE ) #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_CIN_A , 0 , N ){ cin >> A[VARIABLE_FOR_CIN_A]; } #define CIN_A( LL , A , N ) vector A( N ); SET_A( A , N ); #endif #include using namespace std; using uint = unsigned int; using ll = long long; using ull = unsigned long long; using ld = long double; using lld = __float128; template using T2 = pair; template using T3 = tuple; template using T4 = tuple; #define REPEAT_MAIN( BOUND ) int main(){ ios_base::sync_with_stdio( false ); cin.tie( nullptr ); SIGNAL; DEXPR( int , bound_test_case_num , BOUND , min( BOUND , 100 ) ); int test_case_num = 1; if constexpr( bound_test_case_num > 1 ){ 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( chrono::duration_cast( chrono::system_clock::now() - watch ).count() / 1000.0 ) #define CHECK_WATCH( TL_MS ) ( CURRENT_TIME < TL_MS - 100.0 ) #define TYPE_OF( VAR ) decay_t #define CEXPR( LL , BOUND , VALUE ) constexpr LL BOUND = VALUE #define SET_ASSERT( A , MIN , MAX ) SET_LL( A ); ASSERT( A , MIN , MAX ) #define CIN_ASSERT( A , MIN , MAX ) TYPE_OF( MAX ) A; SET_ASSERT( A , MIN , MAX ) #define FOR( VAR , INITIAL , FINAL_PLUS_ONE ) for( TYPE_OF( FINAL_PLUS_ONE ) VAR = INITIAL ; VAR < FINAL_PLUS_ONE ; VAR ++ ) #define FOREQ( VAR , INITIAL , FINAL ) for( TYPE_OF( FINAL ) VAR = INITIAL ; VAR <= FINAL ; VAR ++ ) #define FOREQINV( VAR , INITIAL , FINAL ) for( TYPE_OF( 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 // 入出力用 template inline basic_istream& VariadicCin( basic_istream& is ) { return is; } template inline basic_istream& VariadicCin( basic_istream& is , Arg& arg , ARGS&... args ) { return VariadicCin( is >> arg , args... ); } template inline basic_istream& VariadicGetline( basic_istream& is , const char& separator ) { return is; } template inline basic_istream& VariadicGetline( basic_istream& is , const char& separator , Arg& arg , ARGS&... args ) { return VariadicGetline( getline( is , arg , separator ) , separator , args... ); } template inline basic_ostream& operator<<( basic_ostream& os , const vector& arg ) { auto begin = arg.begin() , end = arg.end(); auto itr = begin; while( itr != end ){ ( itr == begin ? os : os << " " ) << *itr; itr++; } return os; } template inline basic_ostream& VariadicCout( basic_ostream& os , const Arg& arg ) { return os << arg; } template inline basic_ostream& VariadicCout( basic_ostream& 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 ) TYPE_OF( 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_SUB #endif // INCLUDE_MAIN