/**
 *    author:  otera
 *    created: 22.10.2021 22:23:55 
**/
#include<bits/stdc++.h>
using namespace std;

using ll = long long;
using ld = long double;
using ull = unsigned long long;
using uint = unsigned;
#define repa(i, n) for(int i = 0; i < n; ++ i)
#define repb(i, a, b) for(int i = a; i < b; ++ i)
#define repc(i, a, b, c) for(int i = a; i < b; i += c)
#define overload4(a, b, c, d, e, ...) e
#define rep(...) overload4(__VA_ARGS__, repc, repb, repa)(__VA_ARGS__)
#define rep1a(i, n) for(int i = 0; i <= n; ++ i)
#define rep1b(i, a, b) for(int i = a; i <= b; ++ i)
#define rep1c(i, a, b, c) for(int i = a; i <= b; i += c)
#define rep1(...) overload4(__VA_ARGS__, rep1c, rep1b, rep1a)(__VA_ARGS__)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define per1(i,n) for(int i=n;i>=1;i--)
typedef pair<int, int> P;
typedef pair<ll, ll> LP;
#define pb push_back
#define eb emplace_back
#define fr first
#define sc second
#define all(c) c.begin(),c.end()
#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 Sort(a) sort(all(a))
#define Rev(a) reverse(all(a))
#define Uniq(a) sort(all(a));a.erase(unique(all(a)),end(a))
#define si(c) (int)(c).size()
inline ll popcnt(ull a){ return __builtin_popcountll(a); }
#define tpow(n) (1LL<<(n))
#define unless(A) if(!(A))
ll intpow(ll a, ll b){ ll ans = 1; while(b){ if(b & 1) ans *= a; a *= a; b /= 2; } return ans; }
ll intpow(ll a, ll b, ll m) {ll ans = 1; while(b){ if(b & 1) (ans *= a) %= m; (a *= a) %= m; b /= 2; } return ans; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
#define INT(...) int __VA_ARGS__;in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;in(__VA_ARGS__)
#define ULL(...) ull __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__)
#define LD(...) ld __VA_ARGS__;in(__VA_ARGS__)
#define vec(type,name,...) vector<type>name(__VA_ARGS__)
#define VEC(type,name,size) vector<type>name(size);in(name)
#define vv(type,name,h,...) vector<vector<type>>name(h,vector<type>(__VA_ARGS__))
#define VV(type,name,h,w) vector<vector<type>>name(h,vector<type>(w));in(name)
#define vvv(type,name,h,w,...) vector<vector<vector<type>>>name(h,vector<vector<type>>(w,vector<type>(__VA_ARGS__)))
template <class T> using vc = vector<T>;
template <class T> using vvc = vector<vc<T>>;
template <class T> using vvvc = vector<vvc<T>>;
template <class T> using vvvvc = vector<vvvc<T>>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqg = priority_queue<T, vector<T>, greater<T>>;
template<class T> void scan(T& a){ cin >> a; }
template<class T> void scan(vector<T>& a){ for(auto&& i : a) scan(i); }
void in(){}
template <class Head, class... Tail> void in(Head& head, Tail&... tail){ scan(head); in(tail...); }
void print(){ cout << ' '; }
template<class T> void print(const T& a){ cout << a; }
template<class T> void print(const vector<T>& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ cout << ' '; print(*i); } }
int out(){ cout << '\n'; return 0; }
template<class T> int out(const T& t){ print(t); cout << '\n'; return 0; }
template<class Head, class... Tail> int out(const Head& head, const Tail&... tail){ print(head); cout << ' '; out(tail...); return 0; }
#define CHOOSE(a) CHOOSE2 a
#define CHOOSE2(a0,a1,a2,a3,a4,x,...) x
#define debug_1(x1) cout<<#x1<<": "<<x1<<endl
#define debug_2(x1,x2) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<endl
#define debug_3(x1,x2,x3) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<endl
#define debug_4(x1,x2,x3,x4) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<", "#x4<<": "<<x4<<endl
#define debug_5(x1,x2,x3,x4,x5) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<", "#x4<<": "<<x4<<", "#x5<<": "<<x5<<endl
#ifdef DEBUG
#define debug(...) CHOOSE((__VA_ARGS__,debug_5,debug_4,debug_3,debug_2,debug_1,~))(__VA_ARGS__)
#define dump(...) { print(#__VA_ARGS__); print(":"); out(__VA_ARGS__); }
#else
#define debug(...)
#define dump(...)
#endif

template< typename U, typename T>
struct Rerooting {

    struct Edge {
        int to;
        U date;
        T dp;
    };

    using F1 = function< T(T, T) >;
    using F2 = function< T(T, U) >;

    vector<vector<Edge>> g;
    vector<T> dp, subdp;
    const T ident;
    const F1 f1;
    const F2 f2;

    Rerooting(int n, const F1 &f1, const F2 &f2, const T &ident) : g(n), f1(f1), f2(f2), dp(n, ident), subdp(n, ident), ident(ident) {}

    void add_edge(int s, int t, const U &d) {
        g[s].emplace_back((Edge) {t, d, ident});
        g[t].emplace_back((Edge) {s, d, ident});
    }

    void add_edge_bi(int s, int t, const U &d, const U &e) {
        g[s].emplace_back((Edge) {t, d, ident});
        g[t].emplace_back((Edge) {s, e, ident});
    }

    void rec(int v, int par) {
        for(auto &e: g[v]) {
            if(e.to == par) continue;
            rec(e.to, v);
            subdp[v] = f1(subdp[v], f2(subdp[e.to], e.date));
        }
    }

    void rerec(int v, int par, const T &pval) {
        int sz = (int)g[v].size();
        vector<T> left(sz + 1, ident), right(sz + 1, ident);
        for(int i = 0; i < sz; ++ i) {
            auto &e = g[v][i];
            e.dp = f2(par == e.to ? pval : subdp[e.to], e.date);
            left[i + 1] = f1(left[i], e.dp);
        }
        dp[v] = left[sz];
        for(int i = 0; i < sz; ++ i) {
            auto &e = g[v][sz - 1 - i];
            if(e.to != par) {
                rerec(e.to, v, f1(left[sz - 1 - i], right[i]));
            }
            right[i + 1] =  f1(right[i], e.dp);
        }
    }

    vector<T> build(int r) {
        rec(r, -1);
        rerec(r, -1, ident);
        return dp;
    }
};

void solve() {
    INT(n, k);
    vvc<int> g(n);
    vc<int> deg(n);
    vc<P> es(n - 1);
    rep(i, n - 1) {
        INT(u, v); -- u, -- v;
        es[i] = {u, v};
        g[u].eb(v);
        g[v].eb(u);
        ++ deg[u], ++ deg[v];
    }
    VEC(int, d, k);
    vc<int> check(n, 0);
    rep(i, k) {
        -- d[i];
        check[d[i]] = 1;
    }
    vc<P> di(n);
    queue<tuple<int, int, int>> que;
    vc<int> used(n, 0);
    rep(i, n) {
        if(check[i]) {
            que.push({i, i, 0});
        }
    }
    while(que.size()) {
        auto [v, from, dist] = que.front(); que.pop();
        di[v] = {dist, from};
        used[v] = 1;
        for(int nv: g[v]) {
            if(used[nv]) continue;
            que.push({nv, from, dist + 1});
        }
    }
    queue<int> nque;
    rep(i, n) {
        if(deg[i] == 1 and !check[i]) {
            // leaf
            nque.push(i);
        }
    }
    vc<int> noneed(n, 0);
    while(nque.size()) {
        int v = nque.front(); nque.pop();
        noneed[v] = 1;
        for(int nv: g[v]) {
            -- deg[nv];
            if(noneed[nv]) continue;
            if(deg[nv] == 1 and !check[nv]) {
                nque.push(nv);
            }
        }
    }
    int r = d[0];
    function<P(P, P)> f1 = [&](P a, P b) -> P {
        return P(a.first + b.first,
               a.first + b.first - max(a.first - a.second, b.first - b.second));
    };
    function<P(P, int)> f2 = [&](P a, int c) -> P {
        // if(c == 0) {
        //     // leaf
        //     // return P(a.fr + 2, a.sc + 1);
        // }
        return P(a.fr + 2, a.sc + 1);
    };
    vc<int> vs;
    rep(i, n) {
        if(!noneed[i]) {
            vs.eb(i);
        }
    }
    Uniq(vs);
    int N = si(vs);
    debug(N);
    Rerooting<int, P> rt(N, f1, f2, P{0, 0});
    vc<int> deg2(N, 0);
    rep(i, n - 1) {
        if(noneed[es[i].fr] or noneed[es[i].sc]) continue;
        int u = lb(vs, es[i].fr), v = lb(vs, es[i].sc);
        ++ deg2[u], ++ deg2[v];
    }
    rep(i, n - 1) {
        if(noneed[es[i].fr] or noneed[es[i].sc]) continue;
        int u = lb(vs, es[i].fr), v = lb(vs, es[i].sc);
        debug(u, v, deg2[v], deg2[u]);
        rt.add_edge_bi(u, v, deg2[u] - 1, deg2[v] - 1);
    }
    vc<P> dp = rt.build(lb(vs, r));
    vc<int> ans(n);
    rep(i, n) {
        if(!noneed[i]) {
            ans[i] = dp[lb(vs, i)].sc;
        }
    }
    rep(i, n) {
        if(noneed[i]) {
            int dist = di[i].fr, from = di[i].sc;
            ans[i] = ans[from] + dist;
        }
    }
    rep(i, n) {
        out(ans[i]);
    }
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    // cout << fixed << setprecision(20);
    // INT(t); rep(i, t)solve();
    solve();
    return 0;
}