#pragma region template #pragma GCC optimize("Ofast") #include using namespace std; using ll=long long; using ld=long double; using vi=vector; using vll=vector; using pi=pair; using pll=pair; #define overload2(a,b,c,...) c #define overload3(a,b,c,d,...) d #define overload4(a,b,c,d,e,...) e #define overload5(a,b,c,d,e,f,...) f #define TYPE1(T) template #define TYPE2(T,U) template #define TYPE(...) overload2(__VA_ARGS__,TYPE2,TYPE1)(__VA_ARGS__) #define TYPES1(T) template #define TYPES2(H,T) template #define TYPES(...) overload2(__VA_ARGS__,TYPES2,TYPES1)(__VA_ARGS__) #define REP4(i,s,n,d) for(int i=(s);i<(n);i+=(d)) #define REP3(i,s,n) REP4(i,s,n,1) #define REP2(i,n) REP3(i,0,n) #define REP1(n) REP2(tomato,n) #define REP(...) overload4(__VA_ARGS__,REP4,REP3,REP2,REP1)(__VA_ARGS__) #define RREP4(i,n,s,d) for(int i=(n)-1;i>=(s);i-=(d)) #define RREP3(i,n,s) RREP4(i,n,s,1) #define RREP2(i,n) RREP3(i,n,0) #define RREP1(n) RREP2(tomato,n) #define RREP(...) overload4(__VA_ARGS__,RREP4,RREP3,RREP2,RREP1)(__VA_ARGS__) #define FOR4(a,b,c,d,v) for(auto [a,b,c,d]:v) #define FOR3(a,b,c,v) for(auto [a,b,c]:v) #define FOR2(a,b,v) for(auto [a,b]:v) #define FOR1(a,v) for(auto a:v) #define FOR(...) overload5(__VA_ARGS__,FOR4,FOR3,FOR2,FOR1)(__VA_ARGS__) #define AFOR4(a,b,c,d,v) for(auto&[a,b,c,d]:v) #define AFOR3(a,b,c,v) for(auto&[a,b,c]:v) #define AFOR2(a,b,v) for(auto&[a,b]:v) #define AFOR1(a,v) for(auto&a:v) #define AFOR(...) overload5(__VA_ARGS__,AFOR4,AFOR3,AFOR2,AFOR1)(__VA_ARGS__) #define CFOR4(a,b,c,d,v) for(const auto&[a,b,c,d]:v) #define CFOR3(a,b,c,v) for(const auto&[a,b,c]:v) #define CFOR2(a,b,v) for(const auto&[a,b]:v) #define CFOR1(a,v) for(const auto&a:v) #define CFOR(...) overload5(__VA_ARGS__,CFOR4,CFOR3,CFOR2,CFOR1)(__VA_ARGS__) #define PFOR(v) for(bool f=true; (f ? exchange(f,false) : next_permutation(ALL(v)));) #define ALL(v) v.begin(),v.end() #define RALL(v) v.rbegin(),v.rend() #define SORT(v) sort(ALL(v)) #define RSORT(v) sort(RALL(v)) #define REVERSE(v) reverse(ALL(v)) #define UNIQUE(v) SORT(v),v.erase(unique(ALL(v)),v.end()) #define SZ(v) int(v.size()) TYPES(T) void input(T&... a){ (cin>>...>>a); } #define DECLARE(T,...) T __VA_ARGS__;input(__VA_ARGS__); #define INT(...) DECLARE(int,__VA_ARGS__) #define STR(...) DECLARE(string,__VA_ARGS__) #define LL(...) DECLARE(long long,__VA_ARGS__) #define CHR(...) DECLARE(char,__VA_ARGS__) #define DBL(...) DECLARE(double,__VA_ARGS__) #define VI(n,v) vi v(n);cin>>v; #define VLL(n,v) vll v(n);cin>>v; #define VS(n,s) vector s(n);cin>>s; TYPE(T) istream&operator>>(istream&is,vector&v){ for(auto&a:v)cin>>a; return is; } TYPE(T) ostream&operator<<(ostream&os,const vector&v){ if(&os==&cerr)os<<"["; REP(i,v.size()){ os<>(istream&is,pair&p){ cin>>p.first>>p.second; return is; } #ifdef __DEBUG #include #else #define debug(...) void(0) #endif void print(){ cout << '\n'; } TYPES(T,Ts) void print(const T& a,const Ts&... b){ cout<; TYPE(T) using pqg=priority_queue,greater>; TYPE(T) T pick(queue& que){assert(que.size()); T a=que.front();que.pop();return a;} TYPE(T) T pick(pq& que){assert(que.size()); T a=que.top();que.pop();return a;} TYPE(T) T pick(pqg& que){assert(que.size()); T a=que.top();que.pop();return a;} TYPE(T) T pick(stack& sta){assert(sta.size()); T a=sta.top();sta.pop();return a;} TYPE(T) void clear(T&v){ v=decltype(v)(); } string YES(bool f=true){return (f?"YES":"NO");} string Yes(bool f=true){return (f?"Yes":"No");} string yes(bool f=true){return (f?"yes":"no");} constexpr int INF=1e9+7; constexpr ll LINF=ll(1e18)+7; constexpr ld EPS=1e-10; vi iota(int n){vi a(n);iota(ALL(a),0);return a;} TYPE(T) vector> query_sort(const vector&v){ vector> res(v.size()); REP(i,v.size())res[i]={v[i],i}; SORT(res); return res; } TYPE(T) void add(vector&v,T a=1){ AFOR(p,v)p+=a; } TYPE(T) T rev(T a){ REVERSE(a);return a; } TYPE(T) void fin(T a){cout<b&&(a=b,true));} TYPES(T,Ns) auto make_vector(T x,int n,Ns ...ns){ if constexpr(sizeof...(ns)==0)return vector(n,x); else return vector(n,make_vector(x,ns...)); } bool in(const ll S,const int a){return (S>>a)&1;} int popcount(const ll S){return __builtin_popcountll(S);} int digit(char c){ return (c>='0' and c<='9' ? c-'0' : -1);} ll sqrtll(ll a){ for(ll b=sqrt(a);b*b<=a;b++)if(b*b==a)return b; for(ll b=sqrt(a);b>=0 and b*b>=a;b--)if(b*b==a)return b; return -1; } #pragma endregion template template struct Multiset:map{ using map::at; using map::size; using map::begin; using map::rbegin; using map::erase; using map::lower_bound; using map::upper_bound; int count(const T&a)const{ return (map::count(a)?at(a):0); } void insert(const T&a){ (*this)[a]++; } void erase1(const T&a){ if(map::count(a) and !--at(a))erase(a); } void erase_k(const T&a,int k){ if(map::count(a))return; at(a)-=k; if(at(a)<=0)erase(a); } T mn()const{ assert(size()); return begin()->first; } T mx()const{ assert(size()); return rbegin()->first; } T pick_mn(){ // ピクミン T res=mn(); erase1(res); return res; } T pick_mx(){ T res=mx(); erase1(res); return res; } T lt(const T&a)const{ assert(mn()first; } T leq(const T&a)const{ assert(mn()<=a); if(mx()<=a)return mx(); return (--upper_bound(a))->first; } T gt(const T&a)const{ assert(mx()>a); return upper_bound(a)->first; } T geq(const T&a)const{ assert(mx()>=a); return lower_bound(a)->first; } Multiset()=default; Multiset(const vector&v){ for(const auto&p:v)insert(p); } void scan(int n){ while(n--){ T a;cin>>a; insert(a); } } void banpei(){ insert(numeric_limits::max()/2); insert(numeric_limits::min()/2); } }; struct Edge{ int from,to; Edge()=default; Edge(int from,int to):from(from),to(to){} operator int()const{ return to; } }; struct Graph{ int n; using edge_type=Edge; vector edges; protected: vector in_deg; bool prepared; class OutgoingEdges{ Graph* g; int l,r; public: OutgoingEdges(Graph* g,int l,int r):g(g),l(l),r(r){} edge_type* begin(){ return &(g->edges[l]); } edge_type* end(){ return &(g->edges[r]); } edge_type& operator[](int i){ return g->edges[l+i]; } int size()const{ return r-l; } }; class ConstOutgoingEdges{ const Graph* g; int l,r; public: ConstOutgoingEdges(const Graph* g,int l,int r):g(g),l(l),r(r){} const edge_type* begin()const{ return &(g->edges[l]); } const edge_type* end()const{ return &(g->edges[r]); } const edge_type& operator[](int i)const{ return g->edges[l+i]; } int size()const{ return r-l; } }; public: OutgoingEdges operator[](int v){ assert(prepared); return { this,in_deg[v],in_deg[v+1] }; } const ConstOutgoingEdges operator[](int v)const{ assert(prepared); return { this,in_deg[v],in_deg[v+1] }; } bool is_prepared()const{ return prepared; } Graph():n(0),in_deg(1,0),prepared(false){} Graph(int n):n(n),in_deg(n+1,0),prepared(false){} Graph(int n,int m,bool directed=false,int indexed=1): n(n),in_deg(n+1,0),prepared(false){ scan(m,directed,indexed); } void resize(int n){n=n;} void add_arc(int from,int to){ assert(!prepared); assert(0<=from and from>u>>v;u-=indexed;v-=indexed; if(directed)add_arc(u,v); else add_edge(u,v); } build(); } void build(){ assert(!prepared);prepared=true; for(int v=0;v new_edges(in_deg.back()); auto counter=in_deg; for(auto&&e:edges)new_edges[ counter[e.from]++ ]=e; edges=new_edges; } void graph_debug()const{ #ifndef __LOCAL return; #endif assert(prepared); for(int from=0;from de(n); REP(v,n)de[v]=g[v].size()>400; vector> se(n); REP(v,n)for(int to:g[v])if(!de[to]) se[v].insert(p[to]); Graph D(n); REP(v,n)for(int to:g[v])if(de[to]) D.add_arc(v,to); D.build(); INT(q); REP(q){ INT(x,y);x--;y--; if(p[x]==p[y]){ cout<<"No"<<'\n'; continue; } bool ok=false; if(se[x].count(p[y]))ok=true; for(int to:D[x])if(p[to]==p[y])ok=true; if(!ok){ cout<<"No"<<'\n'; continue; } cout<<"Yes"<<'\n'; if(!de[x])for(int to:g[x])se[to].erase1(p[x]); p[x]=p[y]; if(!de[x])for(int to:g[x])se[to].insert(p[x]); } }