#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse4,popcnt,abm,mmx")
#include <bits/stdc++.h>
#define all(x) (x).begin(), (x).end()
#define gc getchar_unlocked()
#define pc(x) putchar_unlocked(x)
template<typename T> void scan(T &x){x = 0;bool _=0;T c=gc;_=c==45;c=_?gc:c;while(c<48||c>57)c=gc;for(;c<48||c>57;c=gc);for(;c>47&&c<58;c=gc)x=(x<<3)+(x<<1)+(c&15);x=_?-x:x;}
template<typename T> void printn(T n){bool _=0;_=n<0;n=_?-n:n;char snum[65];int i=0;do{snum[i++]=n%10+48;n/= 10;}while(n);--i;if (_)pc(45);while(i>=0)pc(snum[i--]);}
template<typename First, typename ... Ints> void scan(First &arg, Ints&... rest){scan(arg);scan(rest...);}
template<typename T> void print(T n){printn(n);pc(10);}
template<typename First, typename ... Ints> void print(First arg, Ints... rest){printn(arg);pc(32);print(rest...);}
using namespace std;
typedef long long ll;
typedef pair<int, int> T;
typedef int L;
const int MM = 1e5+5, LOG = 17;
struct node{
T val;
L lp;
inline void apply(L v){
val = {v, v};
lp = v;
}
};
struct segtree{
#define lc (rt<<1)
#define rc (rt<<1|1)
#define nm ((nl+nr)>>1)
node tree[MM*4];
const T DEF = {INT_MAX, INT_MIN};
const L LDEF = 0;
inline T merge(T va, T vb){ return {min(va.first, vb.first), max(va.second, vb.second)};}
inline void pull(int rt){ tree[rt].val = merge(tree[lc].val, tree[rc].val);}
// node with lazy val means yet to push to children (but updated itself)
inline void push(int rt, int nl, int nr){
L &val = tree[rt].lp;
if(nl != nr and val){
tree[lc].apply(val);
tree[rc].apply(val);
}
val = LDEF;
}
void build(int l = 0, int r = MM-1, int rt = 1){
int nl = l, nr = r;
tree[rt].val = DEF;
tree[rt].lp = LDEF;
if(l == r)
return;
build(l, nm, lc);
build(nm+1, r, rc);
pull(rt);
}
void update(int l, int r, L val, int nl = 0, int nr = MM-1, int rt = 1){
if(r < nl || l > nr)
return;
if(l <= nl && r >= nr){
tree[rt].apply(val);
return;
}
push(rt, nl, nr);
update(l, r, val, nl, nm, lc);
update(l, r, val, nm+1, nr, rc);
pull(rt);
}
T query(int l, int r, int nl = 0, int nr = MM-1, int rt = 1){
if(r < nl || l > nr)
return DEF;
if(l <= nl && r >= nr)
return tree[rt].val;
push(rt, nl, nr);
return merge(query(l, r, nl, nm, lc), query(l, r, nm+1, nr, rc));
}
#undef lc
#undef rc
#undef nm
} ST;
int n, c[MM], ina[MM], inb[MM];
vector<int> adj[MM];
int par[MM], dep[MM], heavy[MM], head[MM], pos[MM], ptr;
int bit[MM], sp[LOG][MM];
map<int, int> mp;
int X = 2;
inline int bitqu(int i){
int ret = 0;
for(; i; i -= i&-i)
ret += bit[i];
return ret;
}
inline void bitup(int i, int v){
for(; i < X; i += i&-i)
bit[i] += v;
}
int dfs(int cur, int pre){
int size = 1, maxsz = 0;
for(int u : adj[cur]){
if(u == pre)
continue;
par[u] = cur, dep[u] = dep[cur]+1;
sp[0][u] = cur;
int szu = dfs(u, cur);
size += szu;
if(szu > maxsz)
maxsz = szu, heavy[cur] = u;
}
return size;
}
void decompose(int cur, int id){
head[cur] = id, pos[cur] = ++ptr;
if(~heavy[cur])
decompose(heavy[cur], id);
for(int u: adj[cur]){
if (u != par[cur] && u != heavy[cur])
decompose(u, u);
}
}
inline void init(){
memset(sp, -1, sizeof sp);
memset(heavy, -1, sizeof heavy);
ptr = 0;
adj[0].push_back(1);
// adj[1].push_back(0);
dfs(0, -1);
decompose(1, 1);
ST.build();
for(int i = 1; i < LOG; i++){
for(int j = 1; j <= n; j++){
int u = sp[i-1][j];
if(~u) sp[i][j] = sp[i-1][u];
}
}
}
vector<pair<int, int>> undo;
inline ll query(int u){
ll res = 0;
while(u > 0){
int last = u, tar = ST.query(pos[last], pos[last]).first; //not par[last]?
for(int i = __lg(dep[u]); i >= 0; i--){
if(sp[i][u] > 0 and ST.query(pos[sp[i][u]], pos[u]) == make_pair(tar, tar)){ // min/max query to check all same
//same colour, jump
u = sp[i][u];
}
}
u = sp[0][u]; //jump to diff one
int cnt = dep[last]-(u == -1 ? -1 : dep[u]);
res += (ll)cnt*bitqu(tar-1);
bitup(tar, cnt);
undo.emplace_back(tar, cnt);
}
for(auto i: undo)
bitup(i.first, -i.second);
undo.clear();
return res;
}
inline void update(int a, int b, L v){
for(; head[a] != head[b]; b = par[head[b]]){
if(dep[head[a]] > dep[head[b]])
swap(a, b);
int l = pos[head[b]], r = pos[b];
ST.update(l, r, v);
}
if(a != b){
if(dep[a] > dep[b])
swap(a, b);
ST.update(pos[a]+1, pos[b], v);
}
}
int main(){
scan(n);
for(int i = 1; i <= n; i++){
scan(c[i]);
mp[c[i]] = 0;
}
for(auto &i: mp)
i.second = X++;
for(int i = 1; i <= n; i++){
c[i] = mp[c[i]];
}
for(int i = 1; i < n; i++){
scan(ina[i], inb[i]);
adj[ina[i]].emplace_back(inb[i]);
// adj[inb[i]].emplace_back(ina[i]);
}
init();
update(pos[par[1]], pos[1], c[1]);
for(int i = 1; i < n; i++){
print(query(ina[i]));
update(0, inb[i], c[inb[i]]);
}
}
