#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define fi first
#define se second
#define ll long long
#define ld long double
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define mpp make_pair
#define ve vector
using namespace std;
using namespace __gnu_pbds;
template<class T> using oset = tree<T,null_type,less_equal<T>,rb_tree_tag,tree_order_statistics_node_update>;
const ll inf = 1e18; const int iinf = 1e9;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
template <typename T> inline bool chmin(T& a, T b) { return (a > b ? a = b, 1 : 0); }
template <typename T> inline bool chmax(T& a, T b) { return (a < b ? a = b, 1 : 0); }
const int N = 1e5 + 10;
ve<pii> gr[N];
int sz[N], used[N], a[N];
inline void dfs1(int v, int p) {
sz[v] = 1;
for (auto &[to, w] : gr[v]) {
if (used[to] || to == p) continue;
dfs1(to, v); sz[v] += sz[to];
}
}
inline int centroid(int v, int p, int n) {
for (auto &[to, w] : gr[v]) {
if (used[to] || to == p || sz[to] <= n / 2) continue;
return centroid(to, v, n);
} return v;
}
ll ans = 0;
int PTR = 0;
pll al[N];
inline void dfs(int v, int p, ll cur_sum, ll mn_sum) {
if (mn_sum >= 0) ++ans;
al[PTR++] = {cur_sum, mn_sum};
for (auto &[to, w] : gr[v]) {
if (to == p || used[to]) continue;
ll s = cur_sum + a[v] - w;
dfs(to, v, s, min(mn_sum, s));
}
}
oset<ll> sums;
inline void dfs2(int v, int p, int pw, ll tot, ll mn_sum) {
ll mn = min(0ll, a[v] - pw + mn_sum);
if (mn >= 0) ans += 1 + sz(sums) - sums.order_of_key(-tot);
for (auto &[to, w] : gr[v]) {
if (to == p || used[to]) continue;
dfs2(to, v, w, tot + a[v] - w, mn);
}
}
inline void cd(int v, int p) {
used[v] = 1; dfs1(v, p);
PTR = 0;
for (auto &[to, w] : gr[v]) {
if (to == p || used[to]) continue;
dfs(to, v, a[v] - w, a[v] - w);
}
sums.clear();
for (int i = 0; i < PTR; ++i) {
auto &[sum, mn_sum] = al[i];
sums.insert(mn_sum);
}
int pos = 0;
for (auto &[to, w] : gr[v]) {
if (to == p || used[to]) continue;
for (int i = pos; i < pos + sz[to]; ++i) {
auto &[sum, mn_sum] = al[i];
sums.erase(sums.lower_bound(mn_sum - 1));
}
dfs2(to, v, w, a[to] - w, 0);
for (int i = pos; i < pos + sz[to]; ++i) {
auto &[sum, mn_sum] = al[i];
sums.insert(mn_sum);
}
pos += sz[to];
}
for (auto &[to, w] : gr[v]) {
if (to == p || used[to]) continue;
int c = centroid(to, v, sz[to]);
cd(c, v);
}
}
inline void solve() {
int n;
cin >> n;
for (int i = 0; i < n; ++i) cin >> a[i];
for (int i = 1; i < n; ++i) {
int v, u, w;
cin >> v >> u >> w, --v, --u;
gr[v].pb({u, w}), gr[u].pb({v, w});
}
dfs1(0, 0);
int c = centroid(0, 0, n);
cd(c, c);
cout << ans;
}
signed main() {
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
int q = 1; // cin >> q;
while (q--) solve();
cerr << fixed << setprecision(3) << "Time execution: " << (double)clock() / CLOCKS_PER_SEC << endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
13 ms |
3028 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
18 ms |
3284 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
269 ms |
9520 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
388 ms |
12100 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
581 ms |
15440 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
171 ms |
6256 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
151 ms |
8912 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
354 ms |
10600 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
455 ms |
12700 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
774 ms |
15676 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |