#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;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
refs:
edi
https://codeforces.com/blog/entry/65042?#comment-491880
*/
const int MOD = 1e9 + 7;
const int N = 2e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
template<typename T>
struct lazysegtree {
/*=======================================================*/
struct data {
ll mn,cnt;
};
struct lazy {
ll a;
};
data d_neutral = {inf2,1};
lazy l_neutral = {0};
void merge(data &curr, data &left, data &right) {
if(left.mn < right.mn) curr = left;
else if(left.mn > right.mn) curr = right;
else curr = {left.mn,left.cnt+right.cnt};
}
void create(int x, int lx, int rx, T v) {
}
void modify(int x, int lx, int rx, T v) {
lz[x].a = v;
}
void propagate(int x, int lx, int rx) {
ll v = lz[x].a;
if(!v) return;
tr[x].mn += v;
if(rx-lx > 1){
lz[2*x+1].a += v;
lz[2*x+2].a += v;
}
lz[x] = l_neutral;
}
/*=======================================================*/
int siz = 1;
vector<data> tr;
vector<lazy> lz;
lazysegtree() {
}
lazysegtree(int n) {
while (siz < n) siz *= 2;
tr.assign(2 * siz, d_neutral);
lz.assign(2 * siz, l_neutral);
}
void build(vector<T> &a, int n, int x, int lx, int rx) {
if (rx - lx == 1) {
if (lx < n) {
create(x, lx, rx, a[lx]);
}
return;
}
int mid = (lx + rx) / 2;
build(a, n, 2 * x + 1, lx, mid);
build(a, n, 2 * x + 2, mid, rx);
merge(tr[x], tr[2 * x + 1], tr[2 * x + 2]);
}
void build(vector<T> &a, int n) {
build(a, n, 0, 0, siz);
}
void rupd(int l, int r, T v, int x, int lx, int rx) {
propagate(x, lx, rx);
if (lx >= r or rx <= l) return;
if (lx >= l and rx <= r) {
modify(x, lx, rx, v);
propagate(x, lx, rx);
return;
}
int mid = (lx + rx) / 2;
rupd(l, r, v, 2 * x + 1, lx, mid);
rupd(l, r, v, 2 * x + 2, mid, rx);
merge(tr[x], tr[2 * x + 1], tr[2 * x + 2]);
}
void rupd(int l, int r, T v) {
rupd(l, r + 1, v, 0, 0, siz);
}
data query(int l, int r, int x, int lx, int rx) {
propagate(x, lx, rx);
if (lx >= r or rx <= l) return d_neutral;
if (lx >= l and rx <= r) return tr[x];
int mid = (lx + rx) / 2;
data curr;
data left = query(l, r, 2 * x + 1, lx, mid);
data right = query(l, r, 2 * x + 2, mid, rx);
merge(curr, left, right);
return curr;
}
data query(int l, int r) {
return query(l, r + 1, 0, 0, siz);
}
};
vector<ll> adj[N];
vector<ll> a(N);
pll diam = {-1,-1};
void dfs1(ll u, ll p, ll d){
pll px = {d,u};
amax(diam,px);
trav(v,adj[u]){
if(v == p) conts;
dfs1(v,u,d+1);
}
}
ll dis[N][2];
ll deepest[N][2];
void dfs2(ll u, ll p, ll t){
trav(v,adj[u]){
if(v == p) conts;
dis[v][t] = dis[u][t]+1;
dfs2(v,u,t);
amax(deepest[u][t],deepest[v][t]+1);
}
}
lazysegtree<ll> st(N);
vector<ll> ans(N);
vector<ll> mx_without(N);
void dfs3(ll u, ll p, ll d, ll t){
ll mx = deepest[u][t];
st.rupd(d-mx,d-1,1);
auto [mn,mn_cnt] = st.query(0,d);
assert(mn == 0);
ans[u] += mn_cnt-1;
st.rupd(d-mx,d-1,-1);
mx = 0;
trav(v,adj[u]){
if(v == p) conts;
mx_without[v] = mx;
amax(mx,deepest[v][t]+1);
}
mx = 0;
reverse(all(adj[u]));
trav(v,adj[u]){
if(v == p) conts;
amax(mx_without[v],mx);
amax(mx,deepest[v][t]+1);
}
reverse(all(adj[u]));
trav(v,adj[u]){
if(v == p) conts;
mx = mx_without[v];
st.rupd(d-mx,d-1,1);
dfs3(v,u,d+1,t);
st.rupd(d-mx,d-1,-1);
}
}
void solve(int test_case)
{
ll n,m; cin >> n >> m;
rep1(i,n-1){
ll u,v; cin >> u >> v;
adj[u].pb(v), adj[v].pb(u);
}
rep1(i,n) cin >> a[i];
dfs1(1,-1,0);
ll s = diam.ss;
diam = {-1,-1};
dfs1(s,-1,0);
ll t = diam.ss;
dfs2(s,-1,0);
dfs2(t,-1,1);
st.rupd(0,n,-inf2);
dfs3(s,-1,0,0);
dfs3(t,-1,0,1);
rep1(i,n){
amin(ans[i],1ll);
cout << ans[i] << endl;
}
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
