#include <bits/stdc++.h>
//#define int long long
#define fi first
#define se second
#define pb push_back
#define faster ios_base::sync_with_stdio(0); cin.tie(0);
using namespace std;
using ll = long long;
using ull = unsigned ll;
using ld = long double;
using pii = pair <int, int>;
using pil = pair <int, ll>;
using pli = pair <ll, int>;
using pll = pair <ll, ll>;
mt19937 Rand(chrono::steady_clock::now().time_since_epoch().count());
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
#define ordered_set tree<pii, null_type,less<pii>, rb_tree_tag,tree_order_statistics_node_update>
ll min(const ll &a, const ll &b){
return (a < b) ? a : b;
}
ll max(const ll &a, const ll &b){
return (a > b) ? a : b;
}
//const ll Mod = 1000000007;
//const ll Mod2 = 999999999989;
//only use when required
const int maxN = 1e5 + 1;
int n;
int a[maxN];
vector <pii> adj[maxN];
int par[maxN];
bool visited[maxN];
int subsz[maxN];
void cent_dfs(int u, int p){
subsz[u] = 1;
for (auto &i: adj[u]){
if (i.fi == p || visited[i.fi]) continue;
cent_dfs(i.fi, u);
subsz[u] += subsz[i.fi];
}
}
int find_cent(int u, int p, int sz){
for (auto &i: adj[u]){
if (i.fi == p || visited[i.fi]) continue;
if (subsz[i.fi] > sz / 2) return find_cent(i.fi, u, sz);
}
return u;
}
ll ans = 0;
vector <int> save1;
vector <pii> save2;
ordered_set S;
int cost[maxN];
void find_cost(int u, int p, int minn, int dis){
cost[u] = min(minn, dis);
S.insert({-cost[u], u});
for (auto &i: adj[u]){
if (i.fi == p || visited[i.fi]) continue;
find_cost(i.fi, u, cost[u], dis + a[u] - i.se);
}
}
void dfs(int u, int p, int minn, int dis){
//dis: fuel left if we run from u to root(centroid)
//minn: minimum fuel on the way to root
if (minn >= 0) save1.pb(dis);
if (u != p) save2.pb({cost[u], u});
for (auto &i: adj[u]){
if (i.fi == p || visited[i.fi]) continue;
dfs(i.fi, u, min(minn - i.se + a[i.fi], 0), dis + a[i.fi] - i.se);
if (u == p){
cerr << S.size();
for (auto j: save2) S.erase(j);
for (int j: save1) ans += S.order_of_key({j + 1, -10000000});
for (auto j: save2) S.insert(j);
save1.clear();
}
}
}
void build_cent(int u){
S.clear();
cent_dfs(u, u);
int cent = find_cent(u, u, subsz[u]);
visited[cent] = 1;
find_cost(cent, cent, 0, 0);
dfs(cent, cent, 0, 0);
for (const auto &i: adj[cent]){
if (visited[i.fi]) continue;
build_cent(i.fi);
}
}
void Init(){
cin >> n;
for (int i = 1; i <= n; ++i) cin >> a[i];
for (int i = 1; i < n; ++i){
int u, v, w;
cin >> u >> v >> w;
adj[u].pb({v, w});
adj[v].pb({u, w});
}
build_cent(1);
cout << ans;
}
#define debu
#define taskname "test"
signed main(){
if (fopen(taskname".inp", "r")){
freopen(taskname".inp", "r", stdin);
#ifdef debug
freopen(taskname".out", "w", stdout);
#endif
}
faster;
ll tt = 1;
//cin >> tt;
while (tt--){
Init();
}
if (fopen("timeout.txt", "r")){
ofstream timeout("timeout.txt");
timeout << 1000 * double(clock()) / CLOCKS_PER_SEC;
#ifndef debug
cerr << "\nTime elapsed: " << 1000 * double(clock()) / CLOCKS_PER_SEC << "ms\n";
#endif
}
}
Compilation message
transport.cpp: In function 'int main()':
transport.cpp:121:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
121 | freopen(taskname".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1081 ms |
3436 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1064 ms |
3896 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1092 ms |
14772 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1042 ms |
19120 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1072 ms |
25752 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1087 ms |
7064 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1080 ms |
10744 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1070 ms |
13992 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1068 ms |
16296 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1078 ms |
23940 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |