#include using namespace std; typedef long long ll; typedef long double ld; #define inf 1000000007 #define MP make_pair #define MT make_tuple #define PB push_back #define fi first #define se second #define rep(i,n) for(int i = 0; i < (int)(n); ++i) #define rrep(i,n) for(int i = (int)n-1; i >= 0; --i) #define srep(i,a,b) for(int i = (int)a; i < (int)(b); ++i) #define all(x) (x).begin(),(x).end() #define SUM(v) accumulate(all(v), 0LL) #define MIN(v) *min_element(all(v)) #define MAX(v) *max_element(all(v)) #define lb(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define ub(c, x) distance((c).begin(), upper_bound(all(c), (x))) #define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end()) #define SZ(c) (int)(c).size() template ostream& operator << (ostream& os, vector& vec) { os << "{"; for (int i = 0; i<(int)vec.size(); i++) { os << vec[i] << (i + 1 == (int)vec.size() ? "" : ", "); } os << "}"; return os; } // pair出力 template ostream& operator << (ostream& os, pair pair_var) { os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } // map出力 template ostream& operator << (ostream& os, map& map_var) { os << "{"; for(auto itr = map_var.begin(); itr != map_var.end(); itr++){ os << "(" << itr->first << ", " << itr->second << ")"; itr++; if(itr != map_var.end()) os << ", "; itr--; } os << "}"; return os; } // set 出力 template ostream& operator << (ostream& os, set& set_var) { os << "{"; for(auto itr = set_var.begin(); itr != set_var.end(); itr++){ os << (*itr); ++itr; if(itr != set_var.end()) os << ", "; itr--; } os << "}"; return os; } #define overload2(_1, _2, name, ...) name #define vec(type, name, ...) vector name(__VA_ARGS__) #define VEC(type, name, size) \ vector name(size); \ IN(name) #define vv(type, name, h, ...) vector> name(h, vector(__VA_ARGS__)) #define VV(type, name, h, w) \ vector> name(h, vector(w)); \ IN(name) #define vvv(type, name, h, w, ...) vector>> name(h, vector>(w, vector(__VA_ARGS__))) #define vvvv(type, name, a, b, c, ...) \ vector>>> name(a, vector>>(b, vector>(c, vector(__VA_ARGS__)))) #define INT(...) \ int __VA_ARGS__; \ IN(__VA_ARGS__) #define LL(...) \ ll __VA_ARGS__; \ IN(__VA_ARGS__) #define STR(...) \ string __VA_ARGS__; \ IN(__VA_ARGS__) #define CHR(...) \ char __VA_ARGS__; \ IN(__VA_ARGS__) #define DBL(...) \ double __VA_ARGS__; \ IN(__VA_ARGS__) int scan() { return getchar(); } void scan(int &a) { cin >> a; } void scan(long long &a) { cin >> a; } void scan(char &a) { cin >> a; } void scan(double &a) { cin >> a; } void scan(string &a) { cin >> a; } template void scan(pair &p) { scan(p.first), scan(p.second); } template void scan(vector &); template void scan(vector &a) { for(auto &i : a) scan(i); } template void scan(T &a) { cin >> a; } void IN() {} template void IN(Head &head, Tail &...tail) { scan(head); IN(tail...); } const string YESNO[2] = {"NO", "YES"}; const string YesNo[2] = {"No", "Yes"}; const string yesno[2] = {"no", "yes"}; void YES(bool t = 1) { cout << YESNO[t] << endl; } void NO(bool t = 1) { YES(!t); } void Yes(bool t = 1) { cout << YesNo[t] << endl; } void No(bool t = 1) { Yes(!t); } void yes(bool t = 1) { cout << yesno[t] << endl; } void no(bool t = 1) { yes(!t); } #ifdef LOCAL void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << " " << H; debug_out(T...); } #define dbg(...) \ cerr << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl #else #define dbg(...) (void(0)) #define dump(x) (void(0)) #endif template std::enable_if_t::value> fill(A& array, const T& val) { array = val; } template std::enable_if_t::value> fill(A& array, const T& val) { for (auto& a : array) { fill(a, val); } } template T ceil(T x, T y) {assert(y >= 1);return (x > 0 ? (x + y - 1) / y : x / y);} template T floor(T x, T y) {assert(y >= 1);return (x > 0 ? x / y : (x + y - 1) / y);} vector iota(int n) {vector a(n);iota(all(a), 0);return a;} template T POW(T x, int n) {T res = 1;for(; n; n >>= 1, x *= x){if(n & 1) res *= x;}return res;} ll pow2(int i) { return 1LL << i; } int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); } int topbit(ll t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); } int lowbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); } int lowbit(ll a) { return a == 0 ? 64 : __builtin_ctzll(a); } // int allbit(int n) { return (1 << n) - 1; } ll allbit(ll n) { return (1LL << n) - 1; } int popcount(signed t) { return __builtin_popcount(t); } int popcount(ll t) { return __builtin_popcountll(t); } bool ispow2(int i) { return i && (i & -i) == i; } template void fold_in(vector &v) {} template void fold_in(vector &v, Head &&a, Tail &&...tail) { for(auto e : a) v.emplace_back(e); fold_in(v, tail...); } template void renumber(vector &v) {} template void renumber(vector &v, Head &&a, Tail &&...tail) { for(auto &&e : a) e = lb(v, e); renumber(v, tail...); } template void zip(vector &head, Args &&...args) { vector v; fold_in(v, head, args...); sort(all(v)), v.erase(unique(all(v)), v.end()); renumber(v, head, args...); } template inline bool chmax(T &a, T b){ if(a inline bool chmin(T &a, T b){ if(a>b){ a = b; return true; } return false; } template struct Rerooting { const G &g; const F1 f1; const F2 f2; vector memo, dp; T I; Rerooting(const G &_g, const F1 _f1, const F2 _f2, const T &I_) : g(_g), f1(_f1), f2(_f2), memo(g.size(), I_), dp(g.size(), I_), I(I_) { dfs(0, -1); efs(0, -1, I); } const T &operator[](int i) const { return dp[i]; } void dfs(int cur, int par) { for (auto &dst : g[cur]) { if (dst == par) continue; dfs(dst, cur); memo[cur] = f1(memo[cur], f2(memo[dst], dst, cur)); } } void efs(int cur, int par, const T &pval) { // get cumulative sum vector buf; for (auto dst : g[cur]) { if (dst == par) continue; buf.push_back(f2(memo[dst], dst, cur)); } vector head(buf.size() + 1), tail(buf.size() + 1); head[0] = tail[buf.size()] = I; for (int i = 0; i < (int)buf.size(); i++) head[i + 1] = f1(head[i], buf[i]); for (int i = (int)buf.size() - 1; i >= 0; i--) tail[i] = f1(tail[i + 1], buf[i]); // update dp[cur] = par == -1 ? head.back() : f1(pval, head.back()); // propagate int idx = 0; for (auto &dst : g[cur]) { if (dst == par) continue; efs(dst, cur, f2(f1(pval, f1(head[idx], tail[idx + 1])), cur, dst)); idx++; } } }; bool pp[200010]; int main(){ INT(n,m); vector > g(n); rep(i,n-1){ INT(a,b); a--;b--; g[a].push_back(b); g[b].push_back(a); } VEC(int,d,m); rep(i,m)d[i]--; rep(i,m)pp[d[i]] = 1; int s = 0; vector dist(n,-1); vector pppp(n,-1); auto dfs = [&](auto&& f,int id,int pre,int vv,int dd)->bool{ bool ff = 0; if(pp[id])ff = 1; for(auto x:g[id]){ if(x==pre)continue; bool p; if(pp[id]){ p = f(f,x,id,id,1); }else{ p = f(f,x,id,vv,dd+1); } if(p){ ff = 1; } } if(ff){ pp[id] = 1; for(auto x:g[id]){ if(x==pre)continue; f(f,x,id,id,1); } }else{ pppp[id] = vv; dist[id] = dd; } return ff; }; dfs(dfs,d[0],-1,d[0],0); rep(i,n)if(pp[i])s++; s--; s *= 2; using T = int; // identify element of f1, and answer of leaf T I = -inf; // merge value of child node auto f1 = [&](T x, T y) -> T { return max(x,y); }; // return value from child node to parent node auto f2 = [&](T x, int chd, int par) -> T { if(pp[chd]){ chmax(x,0); } if(pp[par]){ chmax(x,-1); } return x+1; }; Rerooting dp(g, f1, f2, I); rep(i,n){ if(pppp[i]==-1){ cout << s - dp.dp[i] << "\n"; }else{ cout << s - dp.dp[pppp[i]] + dist[i] << "\n"; } } return 0; }