#include #include using namespace std; namespace my{ using ml=atcoder::modint998244353; auto&operator>>(istream&i,ml&x){int t;i>>t;x=t;return i;} auto&operator<<(ostream&o,const ml&x){return o<<(int)x.val();} #define LL(...) ll __VA_ARGS__;lin(__VA_ARGS__) #define RDVL(T,n,...) vec__VA_ARGS__;resizes({n},__VA_ARGS__);lin(__VA_ARGS__) #define VL(n,...) RDVL(ll,n,__VA_ARGS__) #define FO(n) for(ll ij=n;ij-->0;) #define FOR(i,...) for(auto[i,i##stop,i##step]=range(0,__VA_ARGS__);i{}) #define base_operator(op,type) auto operator op(const type&v)const{auto copy=*this;return copy op##=v;} #define single_testcase void solve();}int main(){my::io();my::solve();}namespace my{ void io(){cin.tie(nullptr)->sync_with_stdio(0);cout<>(istream&i,ulll&x){ull t;i>>t;x=t;return i;} ostream&operator<<(ostream&o,const ulll&x){return(x<10?o:o<>(istream&i,lll&x){ll t;i>>t;x=t;return i;} ostream&operator<<(ostream&o,const lll&x){return o<<(x<0?"-":"")<0?x:-x);} constexpr auto range(ll s,ll b){ll a=0;if(s)swap(a,b);return array{a-s,b,1-s*2};} constexpr auto range(ll s,ll a,ll b,ll c=1){return array{a-s,b,(1-s*2)*c};} const string newline{char(10)}; const string space{char(32)}; constexpr auto pow(lll x,ll n){assert(n>=0);lll r=1;while(n)n&1?r*=x:r,x*=x,n>>=1;return r;} constexpr auto at2(auto x,auto i){return x>>i&1;} templatestruct pair{ A a;B b; pair()=default; pair(A a,B b):a(a),b(b){} pair(const std::pair&p):a(p.first),b(p.second){} auto operator<=>(const pair&)const=default; pair operator+(const pair&p)const{return{a+p.a,b+p.b};} friend istream&operator>>(istream&i,pair&p){return i>>p.a>>p.b;} friend ostream&operator<<(ostream&o,const pair&p){return o<struct queue:std::queue{ queue(const initializer_list&a={}){fe(a,e)this->emplace(e);} queue(const vector&a){fe(a,e)this->emplace(e);} ll size()const{return std::queue::size();} T pop(){T r=this->front();std::queue::pop();return r;} T sum()const{T r{};fe(*this,e)r+=e;return r;} friend ostream&operator<<(ostream&o,queue q){while(q.size())o<0,space);return o;} }; templateusing pack_back_t=tuple_element_t>; templateconcept vectorial=is_base_of_v::value_type>,remove_cvref_t>; templateconstexpr int rank(){if constexpr(vectorial)return rank()+1;else return 0;} templatestruct core_t_helper{using core_t=T;}; templatestruct core_t_helper{using core_t=typename core_t_helper::core_t;}; templateusing core_t=core_t_helper::core_t; templateistream&operator>>(istream&i,vector&v){fe(v,e)i>>e;return i;} templateostream&operator<<(ostream&o,const vector&v){ll n=v.size();fo(i,n)o<?newline:space);return o;} templatestruct vec; templatestruct hvec_helper{using type=vec::type>;}; templatestruct hvec_helper<0,T>{using type=T;}; templateusing hvec=typename hvec_helper::type; templatestruct vec:vector{ static constexpr int R=rank>(); using C=core_t; using vector::vector; vec(const vector&v){vector::operator=(v);} vec(const auto&...a)requires(sizeof...(a)>=3){resizes(a...);} void resizes(const auto&...a){*this=make(a...);} static auto make(ll n,const auto&...a){if constexpr(sizeof...(a)==1)return vec(n,array{a...}[0]);else return vec(n,make(a...));} vec&operator^=(const vec&u){this->insert(this->end(),u.begin(),u.end());return*this;} vec&operator+=(const vec&u){vec&v=*this;assert(v.size()==u.size());fo(i,v.size())v[i]+=u[i];return v;} vec&operator-=(const vec&u){vec&v=*this;assert(v.size()==u.size());fo(i,v.size())v[i]-=u[i];return v;} vec&operator+=(const C&c){fe(*this,e)e+=c;return*this;} vec&operator*=(const C&c){fe(*this,e)e*=c;return*this;} base_operator(^,vec) base_operator(+,vec) base_operator(-,vec) base_operator(+,C); base_operator(*,C); vec&operator++(){fe(*this,e)++e;return*this;} vec&operator--(){fe(*this,e)--e;return*this;} ll size()const{return vector::size();} auto scan(const auto&f)const{ pairr{}; fe(*this,e)if constexpr(!vectorial)r.b?f(r.a,e),r:r={e,1};else if(auto s=e.scan(f);s.b)r.b?f(r.a,s.a),r:r=s; return r; } auto sum()const{return scan([](auto&a,const auto&b){a+=b;}).a;} }; templaterequires(sizeof...(A)>=2)vec(const A&...a)->vec>>; vec(ll)->vec; templatevoid resizes(const array::R+1>&s,A&...a){(apply([&](const auto&...b){a.resizes(b...); },s),...);} void lin(auto&...a){(cin>>...>>a);} void pp(const auto&...a){ll n=sizeof...(a);((cout<0,space)),...);cout<struct msb_first_binary_trie{ struct node{ index_t elem_count; arraychild; node():elem_count(),child{nullptr,nullptr}{} }; using node_ptr=node*; node_ptr r; msb_first_binary_trie(const vec&a={}):r(new node){fe(a,e)emplace(e);} node_ptr root()const{return r;} ll size()const{return r?r->elem_count:0;} ll size(node_ptr p)const{return p?p->elem_count:0;} node_ptr inner_emplace(T x,node_ptr p,ll b=B-1){ if(!p)p=new node; p->elem_count++; if(b<0)return p; bool f=at2(x,b); p->child[f]=inner_emplace(x,p->child[f],b-1); return p; } void emplace(T x){inner_emplace(x,r);} }; single_testcase void solve(){ LL(N); VL(N,a); constexpr ll B=bit_sizeof(uint32_t); msb_first_binary_triembt(a); queue::node_ptr,ll>>q{{mbt.root(),0}}; vecis_branching(B+1); while(q.size()){ auto[p,d]=q.pop(); is_branching[d]|=(p->child[0]&&p->child[1]); fe(p->child,e)if(e)q.emplace(e,d+1); } pp(ml(2).pow(is_branching.sum())); }}