#include using namespace atcoder; #include #define all(a) (a.begin()),(a.end()) #define rall(a) (a.rbegin()),(a.rend()) using namespace std; using ll=long long; using ld=long double; using pll=pair; templatebool chmax(T &a, const T &b) {if(abool chmin(T &a, const T &b) {if(b> (istream& is, modint1000000007& x) { unsigned int t; is >> t; x=t; return is; } istream& operator >> (istream& is, modint998244353& x) { unsigned int t; is >> t; x=t; return is; } istream& operator >> (istream& is, modint& x) { unsigned int t; is >> t; x=t; return is; } ostream& operator << (ostream& os, const modint1000000007& x) { os << x.val(); return os; } ostream& operator << (ostream& os, const modint998244353& x) { os << x.val(); return os; } ostream& operator << (ostream& os, const modint& x) { os << x.val(); return os; } templateistream& operator >> (istream& is, pair& p) { is >> p.first >> p.second; return is; } templateostream& operator << (ostream& os, const pair& p) { os << p.first << " " << p.second; return os;} templateistream& operator >> (istream& is, vector& v) { for(T& x:v) is >> x; return is; } templateostream& operator << (ostream& os, const vector& v) {for(int i=0;i<(int)v.size();i++) {os << v[i] << (i+1 == v.size() ? "":" ");} return os;} template void pt() { std::cout << "\n"; } template void pt_rest() { std::cout << "\n"; } template void pt_rest(const T& first, const A&... rest) { std::cout << " " << first; pt_rest(rest...); } template void pt(const T& first, const A&... rest) { std::cout << first; pt_rest(rest...); } template void resize(vector& vec, const H head){ vec.resize(head); } template void resize(vector& vec, const H& head, const T ... tail){ vec.resize(head); for(auto& v: vec) resize(v, tail...); } template void fill(V& x, const T& val){ x = val; } template void fill(vector& vec, const T& val){ for(auto& v: vec) fill(v, val); } template void vin(istream& is, const int idx, vector& head){ is >> head[idx]; } template void vin(istream& is, const int idx, vector& head, T& ... tail){ vin(is >> head[idx], idx, tail...); } template void vin(istream& is, vector& head, T& ... tail){ for(int i=0; i<(int)head.size(); i++) vin(is, i, head, tail...); } template void vin(vector& head, T& ... tail){ vin(cin, head, tail...); } mapdivisor(ll n){mapres;for(ll i=1;i*i<=n;i++)if(n%i==0){res[i]++;res[n/i]++;}return res;} mapfactrization(ll n){mapres;for(ll i=2;i*i<=n;i++)while(n%i==0){res[i]++;n/=i;}if(n>1)res[n]++;return res;} static const ll inf=1e18+7; static const ld pi=acos(-1); static const ld eps=1e-10; using v1=vector; using v2=vector; using v3=vector; using v4=vector; using S=ll; S op(S a,S b){return a+b;} S e(){return 0;} struct Rerooting{ v1 A; struct DP{ ll dp; ll nv; DP(ll dp,ll nv):dp(dp),nv(nv){} }; struct Edge{ ll to; ll cost; }; const DP identity=DP(0,0); DP merge(DP dp_cum,DP d){ return DP({dp_cum.dp+d.dp,dp_cum.nv+d.nv}); }; DP addroot(DP d,ll u,ll p=-1){ return DP({d.dp+A[u]-(p!=-1 and u>p),d.nv+1}); }; DP merge_edge(DP d,Edge e){ return d; }; using Graph=vector>; vector>dp; vectorans; Graph g; Rerooting(ll n){ g.resize(n); dp.resize(n); ans.assign(n,identity); A.resize(n); } void addedge(ll a,ll b,ll c=1){ g[a].push_back({b,c}); } void build(){ dfs(0); bfs(0,identity); } DP dfs(ll u,ll p=-1){ DP dp_cum=identity; ll deg=g[u].size(); dp[u]=vector(deg,identity); for(ll i=0;idpl(deg+1,identity),dpr(deg+1,identity); for(ll i=0;i=0;i--)dpr[i]=merge(dpr[i+1],dp[u][i]); ans[u]=addroot(dpl[deg],u); for(ll i=0;i>N; Rerooting r(N); for(ll i=0;i>a>>b;a--;b--; r.addedge(a,b); r.addedge(b,a); } for(ll u=0;uv); r.build(); for(ll i=0;i