#include #include #define eb emplace_back #define all(a) (a).begin(),(a).end() #define RD(T,...) T __VA_ARGS__;li(__VA_ARGS__) #define LL(...) RD(ll,__VA_ARGS__) #define VL(n,...) vl __VA_ARGS__;setsize({n},__VA_ARGS__);li(__VA_ARGS__) #define VE(a,...) au a=vec(__VA_ARGS__) #define JO(a,b) a##b #define jo(a,b) JO(a,b) #define usymbol(a) jo(a,__LINE__) #define FE(v,e,...) for(au&&__VA_OPT__([)e __VA_OPT__(,__VA_ARGS__]):v) #define FO(n) for(ll usymbol(i)=n;usymbol(i)-->0;) #define FOR(i,...) for(au[i,i##O,i##E]=rng(0,__VA_ARGS__);i=i##O;i-=i##E) #define I template #define J class #define au auto #define rr return using std::cin,std::cout,std::begin,std::end,std::rbegin; using std::swap,std::move,std::abs,std::prev,std::next; using std::tuple,std::minmax,std::get; using vo=void;using bo=bool; vo solve(); Iconstexpr bo same=std::is_same_v; using is=std::istream;using os=std::ostream; using dd=long double;using ll=long long;using ull=unsigned long long; using lll=__int128_t;using ulll=__uint128_t;using str=std::string; os&operator<<(os&o,const ulll&x){rr(x<10?o:o<0?x:-x);} using namespace atcoder;using ml=modint; au&operator<<(os&o,const modint&x){rr o<bo at2(T x,ll i){rr x>>i&1;} Ill len(const T&a){rr a.size();} struct edg{ ll t,w; edg(){} edg(ll t,ll w=1):t(t),w(w){} friend os&operator<<(os&o,const edg&e){rr o<struct cp{ A a={};B b={}; cp(){} cp(A a,B b):a(a),b(b){} cp(std::pairp):a(p.first),b(p.second){} bo operator==(const cp&c)const{rr a==c.a&&b==c.b;} bo operator<(const cp&c)const{rr a!=c.a?a(const cp&c)const{rr a!=c.a?a>c.a:b>c.b;} friend is&operator>>(is&i,cp&c){rr i>>c.a>>c.b;} friend os&operator<<(os&o,const cp&c){rr o<; Istruct tr{ A a={};B b={};C c={}; tr(){} tr(A a,B b,C c):a(a),b(b),c(c){} bo operator==(const tr&t)const{rr a==t.a&&b==t.b&&c==t.c;} au operator<(const tr&t)const{rr a!=t.a?a>(is&i,tr&t){rr i>>t.a>>t.b>>t.c;} friend os&operator<<(os&o,const tr&t){rr o<; IT&rv(T&a){reverse(all(a));rr a;} Iau pot(T&a){au r=a.top();a.pop();rr r;} Iusing ar=std::array; Ios&operator<<(os&o,const ar&a){fo(i,n)o<using map=std::map; Ios&operator<<(os&o,const map&m){fe(m,e)o<using umap=std::unordered_map; Ios&operator<<(os&o,const umap&m){fe(m,e)o<using bset=std::bitset; Ios&operator<<(os&o,const bset&b){fo(i,n)o<struct ve; Iconstexpr bo isv=0; Iconstexpr bo isv> =1; Iconstexpr bo isv> =1; Iau rawv(V){if constexpr(isv)rr rawv(V(1)[0]);else rr V();} Istruct ve:std::vector{ using std::vector::vector; using T=decltype(rawv(V())); Ive(const std::vector&v={}){static_assert(isv ==isv);fe(v,e)this->eb(e);} ve&operator+=(const ve&u){au&v=*this;fo(i,len(v))v[i]+=u[i];rr v;}ve operator+(const ve&u)const{rr ve(*this)+=u;} ve&operator-=(const ve&u){au&v=*this;fo(i,len(v))v[i]-=u[i];rr v;}ve operator-(const ve&u)const{rr ve(*this)-=u;} ve&operator^=(const ve&u){fe(u,e)this->eb(e);rr*this;}ve operator^(const ve&u)const{rr ve(*this)^=u;} ve&operator+=(const T&x){au&v=*this;fe(v,e)e+=x;rr v;}ve operator+(const T&x)const{rr ve(*this)+=x;} ve&operator-=(const T&x){au&v=*this;fe(v,e)e-=x;rr v;}ve operator-(const T&x)const{rr ve(*this)-=x;} ve&operator*=(const T&x){au&v=*this;fe(v,e)e*=x;rr v;}ve operator*(const T&x)const{rr ve(*this)*=x;} ve&operator++(){rr*this+=1;} ve&operator--(){rr*this-=1;} ve operator-()const{rr ve(*this)*=-1;} Iau&operator+=(const bset&a){fo(i,n)(*this)[i]+=a[i];rr*this;} Iau&operator-=(const bset&a){fo(i,n)(*this)[i]-=a[i];rr*this;} au lower_bound(const V&x)const{rr std::lower_bound(all(*this),x);} au upper_bound(const V&x)const{rr std::upper_bound(all(*this),x);} friend is&operator>>(is&i,ve&v){fe(v,e)i>>e;rr i;} friend os&operator<<(os&o,const ve&v){fe(v,e)o<?nl:sp);rr o;} }; Iau vec(const ll(&s)[n],T x={}){if constexpr(n==i+1)rr ve(s[i],x);else{au X=vec(s,x);rr ve(s[i],X);}} Ivo setsize(const ll(&l)[n],A&...a){((a=vec(l,rawv(a))),...);} Iusing vve=ve>;using vl=ve;using vvl=vve; using gl=ve>;using ge=ve>; struct io{io(){cin.tie(0)->sync_with_stdio(0); cout<os&operator<<(os&o,const tuple&t){apply([&](const au&...a){ll i=0;(((o<vo pp(const A&...a){ll i=0;((cout<vo li(A&...a){(cin>>...>>a);} Iau ygi(G&g,ll m=-1,bo f=1){if(m==-1)m=len(g)-1;std::conditional_t,ve,ve>r(m);li(r); fe(r,e)if constexpr(same)g[e.a-=f].eb(e.b-=f);else g[e.a-=f].eb(e.b-=f,e.c);rr r;} Iau mgi(G&g,ll m=-1,bo f=1){if(m==-1)m=len(g)-1;au r=ygi(g,m,f); fe(r,e)if constexpr(same)g[e.b].eb(e.a);else g[e.b].eb(e.a,e.c);rr r;} Istruct rec:F{rec(F&&f):F(std::forward(f)){}Idecltype(au)operator()(A&&...a)const{rr F::operator()(*this,std::forward(a)...);}}; std::array,3>bfs_order(const vve&tr,ll s){ ll n=len(tr); veord,par(n),dep(n); std::deque>q{{s,-1,0}}; while(len(q)){ auto[u,p,d]=q.front();q.pop_front(); ord.eb(u),par[u]=p,dep[u]=d; fe(tr[u],v)if(v!=p)q.eb(v,u,d+1); } return{ord,par,dep}; } vverooted_tree(const vve&tr,ll s){ ll n=len(tr); vepar=get<1>(bfs_order(tr,s)); vverooted_tr(n); fo(i,n)if(par[i]!=-1)rooted_tr[par[i]].eb(i); return rooted_tr; } int main(){ll T=1;fo(T)solve();} vo solve(){ LL(N); gl tr(N);mgi(tr); VL(N,a); tr=rooted_tree(tr,0); au[o,p,d]=bfs_order(tr,0); rv(o); ml ans=0; fo(k,30){ VE(dp,{N,2},ml()); fe(o,u){ dp[u][at2(a[u],k)]=1; fe(tr[u],v){ venx(2); //削除する fo(j,2)nx[j]+=dp[u][j]*dp[v][1]; //削除しない fo(j,2){ fo(p,2){ nx[j^p]+=dp[u][j]*dp[v][p]; } } swap(dp[u],nx); } } ans+=ml(2).pow(k)*dp[0][1]; } pp(ans); }