#include <bits/stdc++.h>
    
using namespace std;
    
typedef long long ll;
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")

const int  N = 2e5 + 12, MOD = (int)1e9 + 7;

int n, m, a[N], vis[N], timer;
vector<int> g[N], gt[N];
bool is[N];
vector<vector<int>> dist;
int f(int d) {
    vector<int> D(n + 1, 0);
    timer++;
    vis[d] = timer;
    int lst = d;
    queue<int> q;
    q.push(d);
    while(!q.empty()) {
        int v = q.front();
        lst = v;
        q.pop();
        for(int to : g[v]) {
            if(vis[to] != timer) {
                D[to] = D[v] + 1;
                q.push(to);
                vis[to] = timer;
            }
        }
    }
    dist.push_back(D);
    return lst;
}
int dep[N], mxd[N], res[N], d, d1, o, cr;
int zap = 0;
bool ok[N];
void dfs(int v, int pr = -1) {
    mxd[v] = dep[v];
    for(int to:g[v]) if(to != pr) {
        gt[v].push_back(to);
        dep[to] = dep[v] + 1;
        dfs(to, v);
        if(ok[to]) ok[v] = 1;
        mxd[v] = max(mxd[v], mxd[to]);
    }
    for(int i = 0; i < (int)gt[v].size(); i++) {
        if(mxd[gt[v][i]] == mxd[v]) {
            swap(gt[v][0], gt[v][i]);
        }
    }
    if(v == d) ok[v] = 1;
}
int b = 18, it = 0, cur = 0, ver[N * 2];
int up[N * 2][19];
void go(int v) {
    if(dist[cr][v] > dist[o][v] || (dist[cr][v] == dist[o][v] && zap)) {
        int f = cur, val = -mxd[v] + dep[v] * 2;
        set<int> r;
        if(dep[ver[f]] >= val) {
            for(int i = b - 1; i >= 0; i--) {
                int nv = ver[up[f][i]];
                if(dep[nv] >= val) {
                    f = up[cur][i];
                }
            }
            f = up[f][0];
        }
        while(f) {
            int x = ver[f];
            r.insert(a[x]);
            f = up[f][0];
        }
        res[v] += (int)r.size();
    }
    if(gt[v].empty()) return;
    int sz = (int)gt[v].size();
    vector<int> p(sz), s(sz);
    p[0] = mxd[gt[v][0]];
    s[sz - 1] = mxd[gt[v][sz - 1]];
    for(int i = 1; i < sz; i++) {
        p[i] = max(p[i - 1], mxd[gt[v][i]]);
    }
    for(int i = sz - 2; i >= 0; i--) {
        s[i] = max(s[i + 1], mxd[gt[v][i]]);
    }
    vector<int> del;
    int bf = cur;
    for(int i = 0; i < sz; i++) {
        int to = gt[v][i];
        int mx = dep[v];
        if(i) mx = max(mx, p[i - 1]);
        if(i < sz - 1) mx = max(mx, s[i + 1]);
        mx -= dep[v];
        if(i == 1) {
            cur = up[cur][0];
        }
        if(i <= 1 && dep[v] - dep[ver[cur]] <= mx) {
            for(int i = b - 1; i >= 0; i--) {
                int nv = up[cur][i];
                if(dep[v] - dep[ver[nv]] <= mx) {
                    cur = nv;
                }
            }
            cur = up[cur][0];
        }
        if(i <= 1) {
            it++;
            ver[it] = v;
            up[it][0] = cur;
            for(int i = 1; i < b; i++) {
                up[it][i] = up[up[it][i - 1]][i - 1];
            }
            cur = it;
        }
        go(to);
    }
    cur = bf;
}
void solve(int root) {
    it = cur = 0;
    for(int i = 1; i <= n; i++) {
        gt[i].clear();
    }
    ver[0] = 0;
    dep[0] = -(int)1e9;
    dep[root] = 1;
    dfs(root);

    go(root);

}
void test() {
    cin >> n >> m;
    for(int i = 1; i <= n - 1; i++) {
        int a, b;
        cin >> a >> b;
        g[a].push_back(b);
        g[b].push_back(a);
    }

    for(int i = 1; i <= n; i++) {
        cin >> a[i];
    }
    d = f(1), d1 = f(d);
    f(d1);
    o = 2;cr = 1;
    solve(d);
    zap = 1;
    o = 1;cr = 2;
    solve(d1);
    for(int i = 1; i <= n; i++) {
        cout << res[i] << '\n';
    }

}
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    int t = 1; 
    // cin >> t;

    while(t--) 
        test();
}