#include <bits/stdc++.h>
    
using namespace std;
    
typedef long long ll;

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

int n, m, a[N];
bool vis[N], timer;
vector<int> g[N];
vector<vector<int>> dist;
bool zap;
int f(int d) {
    vector<int> D(n + 1, 0);
    timer = 1;
    for(int i = 1; i <= n; i++) {
        vis[i] = 0;
    }
    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, gl[N];
void dfs(int v, int pr = -1) {
    mxd[v] = dep[v];
    for(int to:g[v]) if(to != pr) {
        dep[to] = dep[v] + 1;
        dfs(to, v);
        mxd[v] = max(mxd[v], mxd[to]);
    }
    for(int i = 0; i < (int)g[v].size(); i++) {
        if(g[v][i] == pr) {
            swap(g[v][(int)g[v].size() - 1], g[v][i]);
            break;
        }
    }
    for(int i = 0; i < (int)g[v].size() - 1; i++) {
        if(mxd[g[v][i]] == mxd[v]) {
            swap(g[v][0], g[v][i]);
        }
    }
}
int b = 17, it = 0, cur = 0, ver[N];
int up[N][18];
int rt;
vector<int> e[N];
set<pair<int, int>> cl[N];
void bld(int v) {
    int sz = (int)g[v].size() - (rt != v), mx1 = dep[v];
    if(!sz) return;
    for(int i = 1; i < sz; i++) {
        mx1 = max(mx1, mxd[g[v][i]]);
    }
    int bf = cur;
    for(int i = 0; i < sz; i++) {
        int to = g[v][i];
        int mx = dep[v];
        if(i) mx = mxd[g[v][0]];
        if(i < sz - 1) mx = max(mx, mx1);
        mx -= dep[v];
        if(i == 1 && ver[cur] == v) {
            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++;
            e[cur].push_back(it);
            ver[it] = v;
            gl[it] = gl[cur] + 1;
            up[it][0] = cur;
            for(int i = 1; i < b; i++) {
                up[it][i] = up[up[it][i - 1]][i - 1];
            }
            cur = it;
        }
        bld(to);
    }
    cur = bf;
}
int tin[N], tout[N], tt;
void dfs1(int v) {
    tin[v] = ++tt;
    for(int to : e[v]) {
        dfs1(to);
    }
    tout[v] = ++tt;
}
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[f][i];
                }
            }
            f = up[f][0];
        }
        res[v] += gl[f];
    }
    int sz = (int)g[v].size() - (rt != v), mx1 = dep[v];
    if(!sz) return;
    for(int i = 1; i < sz; i++) {
        mx1 = max(mx1, mxd[g[v][i]]);
    }
    int bf = cur;
    for(int i = 0; i < sz; i++) {
        int to = g[v][i];
        int mx = dep[v];
        if(i) mx = mxd[g[v][0]];
        if(i < sz - 1) mx = max(mx, mx1);
        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;
            auto check = [&]() {
                auto ite = cl[a[v]].upper_bound(make_pair(tin[it], (int)1e9));
                if(ite != cl[a[v]].begin()) {
                    ite--;
                    if((*ite).first <= tin[it] && (*ite).second >= tout[it]) {
                        return 0;
                    }
                }
                return 1;
                int f = cur;
                while(f) {
                    if(a[ver[f]] == a[v]) return 0;
                    f = up[f][0];
                }
                return 1;
            };
            gl[it] = gl[cur];
            if(check()) {
                gl[it]++;
                cl[a[v]].insert({tin[it], tout[it]});
            }
            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;
    ver[0] = 0;
    dep[0] = -(int)1e9;
    rt = root;
    dep[root] = 1;
    dfs(root);

    bld(root);

    tt = it = cur = 0;
    dfs1(0);

    go(root);

    for(int i = 0; i <= it; i++) {
        e[i].clear();
    }
    for(int i = 1; i <= m; i++) {
        cl[i].clear();
    }
}
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();
}