/* I can do this all day */
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef pair < int, int > pii;
typedef pair < ll, ll > pll;
typedef __int128 INT;
#define F first
#define S second
#define all(x) x.begin(),x.end()
#define Mp make_pair
#define point complex
#define endl '\n'
#define SZ(x) (int)x.size()
#define fast_io ios::sync_with_stdio(0), cin.tie(0), cout.tie(0)
#define file_io freopen("input.txt", "r+", stdin); freopen("output.txt", "w+", stdout);
#define mashtali return cout << "Hello, World!", 0;
template < typename T > using Tree = tree<T, null_type, less <T>, rb_tree_tag, tree_order_statistics_node_update>;
const int N = 2e5 + 10;
const int LOG = 20;
const ll mod = 1e9 + 7;
const ll inf = 8e18;
const double pi = acos(-1);
const ld eps = 1e-18;
ll pw(ll a, ll b, ll M, ll ret = 1) { if(a == 0) return 0; a %= M; while(b) { ret = (b & 1? ret * a % M : ret), a = a * a % M, b >>= 1; } return ret % M; }
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
int n, m, fen[N], check[N], C[N], H[N], dp[N], mark[N], S[N], Ans[2][N], node[N];
void add(int i, int x)
{
for(i += 3; i < N; i += i & -i) fen[i] += x;
}
int ask(int i, int ret = 0)
{
if(i < 1) return 1;
for(i += 3; i; i -= i & -i) ret += fen[i];
return ret;
}
void upd(int l, int r, int x)
{
l = max(1, l);
if(l > r) return;
add(l, x);
add(r + 1, -x);
}
set < int > st;
vector < int > G[N];
void pre(int v, int P = 0)
{
H[v] = H[P] + 1;
dp[v] = 1;
for(auto u : G[v])
{
if(u == P) continue;
pre(u, v);
dp[v] = max(dp[v], dp[u] + 1);
}
}
bool cmp(int i, int j)
{
return dp[i] < dp[j];
}
inline int Add(int v)
{
if(!mark[C[v]])
{
mark[C[v]] = 1;
st.insert({-H[v]});
return 1;
}
return 0;
}
inline void Del(int v)
{
if(st.count(-H[v]))
{
st.erase(-H[v]);
mark[C[v]] = 0;
}
}
void dfs(int v, int P, int tp)
{
node[H[v]] = v;
sort(all(G[v]), cmp);
int Mx1 = 0, Mx2 = 0, id1 = -1;
for(auto u : G[v])
{
if(u == P) continue;
if(dp[u] > Mx1)
{
Mx2 = Mx1;
Mx1 = dp[u];
id1 = u;
}
else if(dp[u] > Mx2)
{
Mx2 = dp[u];
}
upd(H[v] - dp[u], H[v] - 1, 1);
}
for(auto u : G[v])
{
if(u == P || u == id1) continue;
Ans[tp][u] = Ans[tp][v];
upd(H[v] - dp[u], H[v] - 1, -1);
dfs(u, v, tp);
upd(H[v] - dp[u], H[v] - 1, 1);
}
if(id1 == -1)
{
Ans[tp][v] += Add(P);
Del(P);
}
else
{
Ans[tp][id1] = Ans[tp][v];
upd(H[v] - Mx1, H[v] - 1, -1);
vector < int > vec;
///printf("here v = %d id1 = %d Mx1 = %d get = %d %d\n", v, id1, Mx1, ask(H[v] - Mx1), ask(H[v] - Mx1 + 1));
if(ask(H[v] - Mx1) == 0)
{
Ans[tp][id1] += Add(node[H[v] - Mx1]);
vec.push_back(node[H[v] - Mx1]);
}
if(ask(H[v] - Mx1 + 1) == 0 && Mx1 > 1)
{
Ans[tp][id1] += Add(node[H[v] - Mx1 + 1]);
vec.push_back(node[H[v] - Mx1 + 1]);
}
dfs(id1, v, tp);
while(SZ(vec))
{
Del(vec.back());
vec.pop_back();
}
upd(H[v] - Mx1, H[v] - 1, 1);
}
for(auto u : G[v])
{
if(u == P) continue;
upd(H[v] - dp[u], H[v] - 1, -1);
}
///printf("v = %d Ans = %d\n", v, Ans[tp][v]);
}
int fir[N], sec[N];
int main()
{
fast_io;
cin >> n >> m;
for(int i = 1; i < n; 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 >> C[i];
}
pre(1);
int L = 0, R = 0;
for(int i = 1; i <= n; i ++)
{
if(H[i] > H[L]) L = i;
}
pre(L);
for(int i = 1; i <= n; i ++)
{
fir[i] = H[i];
if(H[i] > H[R]) R = i;
}
pre(R);
for(int i = 1; i <= n; i ++)
{
sec[i] = H[i];
if(fir[i] > sec[i])
{
S[i] = 0;
}
else
{
S[i] = 1;
}
}
pre(L);
dfs(L, 0, 0);
st.clear();
memset(mark, 0, sizeof mark);
memset(check, 0, sizeof check);
pre(R);
dfs(R, 0, 1);
for(int i = 1; i <= n; i ++)
{
cout << Ans[S[i]][i] << "\n";
}
return 0;
}
/* check corner case(n = 1?), watch for negetive index or overflow */
