#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define F first
#define S second
#define pb push_back
#define pii pair<int, int>
const int N = 1e5 + 5;
const int mod = 1e9 + 7;
int n, a[N];
int sz[N], par[N], head[N], pos[N], timedfs = 0;
pii edges[N];
vector<int> g[N];
vector<pii> vec[N];
vector<int> compress;
int vis[N];
int bit[N];
void reset(int id) {
for (int i = id; i <= n; i += (i & -i)) bit[i] = 0;
}
void update(int id, int val) {
for (int i = id; i <= n; i += (i & -i)) bit[i] += val;
}
int get(int id) {
int ret = 0;
for (int i = id; i > 0; i -= (i & -i)) ret += bit[i];
return ret;
}
void dfs(int u, int p) {
sz[u] = 1;
for (int v : g[u]) {
if (v == p) continue;
par[v] = u;
dfs(v, u);
sz[u] += sz[v];
}
}
void hld(int u, int cur_head, int p) {
pos[u] = ++timedfs;
head[u] = cur_head;
int big = 0;
for (int v : g[u]) {
if (v == p) continue;
if (sz[big] < sz[v]) big = v;
}
if (big) hld(big, cur_head, u);
for (int v : g[u]) {
if (v == p || v == big) continue;
hld(v, v, u);
}
}
void upd(int u, int x) {
while(u != 0) {
while(!vec[head[u]].empty() && pos[vec[head[u]].back().F] <= pos[u]) vec[head[u]].pop_back();
vec[head[u]].pb({u, x});
u = par[head[u]];
}
}
ll query(int u) {
ll ret = 0;
vector<int> tmp;
while(u != 0) {
vector<pii>& cur = vec[head[u]];
if (!cur.empty()) {
int j = (int)cur.size() - 1;
for (int i = 0; i < (int)cur.size() - 1; i++) {
if (pos[cur[i + 1].F] <= pos[u]) {
j = i;
break;
}
}
for (int i = j; i < cur.size(); i++) {
int cur_pos = min(pos[cur[i].F], pos[u]);
int cnt = (i != (int)cur.size() - 1 ? cur_pos - pos[cur[i + 1].F] : cur_pos - pos[head[u]] + 1);
ret += 1ll * cnt * get(cur[i].S - 1);
update(cur[j].S, cnt);
if (!vis[cur[j].S]) {
vis[cur[j].S] = 1;
tmp.pb(cur[j].S);
}
}
}
u = par[head[u]];
}
for (auto x : tmp) {
vis[x] = 0;
reset(x);
}
return ret;
}
signed main() {
ios_base::sync_with_stdio(0);
cin >> n;
for (int i = 1; i <= n; i++) {
cin >> a[i];
compress.pb(a[i]);
}
sort(compress.begin(), compress.end());
compress.erase(unique(compress.begin(), compress.end()), compress.end());
for (int i = 1; i <= n; i++) {
a[i] = lower_bound(compress.begin(), compress.end(), a[i]) - compress.begin() + 1;
}
for (int i = 1; i < n; i++) {
int u, v; cin >> u >> v;
edges[i] = {u, v};
g[u].pb(v);
g[v].pb(u);
}
dfs(1, 0);
hld(1, 1, 0);
for (int i = 1; i < n; i++) {
cout << query(edges[i].F) << '\n';
upd(edges[i].S, a[edges[i].S]);
}
}
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |