This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
typedef long long llint;
const int MAXN = 100005;
llint n, root, cc, sol;
int val[MAXN];
llint par[MAXN], siz[MAXN], dp1[MAXN], dp2[MAXN], curr[MAXN], moze[MAXN];
bool cen[MAXN];
vector < pair <int, int> > v[MAXN];
vector <int> q, t;
void dfs (int x, int rod) {
par[x] = rod;
siz[x] = 1;
for (auto it : v[x]) {
int sus = it.first;
if (sus == rod || cen[sus]) continue;
dfs(sus, x);
siz[x] += siz[sus];
}
}
int nadi_centroid (int x) {
int mx = 0, ind = 0;
if (par[x] != 0) {
mx = siz[root] - siz[x];
ind = par[x];
}
for (auto it : v[x]) {
int sus = it.first;
if (sus == par[x] || cen[sus]) continue;
if (siz[sus] > mx) {
mx = siz[sus];
ind = sus;
}
}
if (mx * 2 > siz[root]) return nadi_centroid(ind);
return x;
}
void calc_dp (int x, int rod) {
if (rod == 0) {
dp1[x] = 0;
dp2[x] = 0;
curr[x] = val[x];
}
if (rod != 0 && dp1[x] == 0) sol++;
q.push_back(dp1[x]);
for (auto it : v[x]) {
int sus = it.first;
int dist = it.second;
if (sus == rod || cen[sus]) continue;
dp1[sus] = max(dp1[x], -(curr[x] - dist));
curr[sus] = curr[x] - dist + val[sus];
dp2[sus] = max(0LL, dp2[x]-(val[sus] - dist));
calc_dp(sus, x);
}
}
void napravi (int x, int rod) {
t.push_back(dp1[x]);
for (auto it : v[x]) {
int sus = it.first;
if (sus == rod || cen[sus]) continue;
napravi(sus, x);
}
}
void upit (int x, int rod) {
if (dp2[x] == 0) {
sol += upper_bound(q.begin(), q.end(), curr[x] - val[cc]) - q.begin() - 1;
sol -= upper_bound(t.begin(), t.end(), curr[x] - val[cc]) - t.begin() - 1;
}
for (auto it : v[x]) {
int sus = it.first;
if (sus == rod || cen[sus]) continue;
upit(sus, x);
}
}
void decompose (int x) {
root = x;
dfs(root, 0);
cc = nadi_centroid(root);
cen[cc] = 1;
q.clear();
calc_dp(cc, 0);
sort(q.begin(), q.end());
for (auto it : v[cc]) {
int sus = it.first;
if (cen[sus]) continue;
t.clear();
napravi(sus, cc);
sort(t.begin(), t.end());
upit(sus, cc);
}
int cvor = cc;
for (auto it : v[cvor]) {
int sus = it.first;
if (cen[sus]) continue;
decompose(sus);
}
}
int main () {
ios_base::sync_with_stdio(false);
cin.tie(0);
cin >> n;
for (int i=1; i<=n; i++) {
cin >> val[i];
}
for (int i=0; i<n-1; i++) {
int a, b, c;
cin >> a >> b >> c;
v[a].push_back(make_pair(b, c));
v[b].push_back(make_pair(a, c));
}
decompose(1);
cout << sol;
return 0;
}
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