#include <bits/stdc++.h>
#define ll long long
using namespace std;
const int N = 1e5 + 10;
const int inf = 1e9 + 10;
struct Line {
ll k, d;
ll eval(ll x) {
return k * x + d;
}
};
struct LiChaoNode {
Line line;
int l, r;
LiChaoNode() {
line = Line({0, numeric_limits<long long>::max() / 2});
l = 0, r = 0;
}
LiChaoNode(Line line) : line(line), l(0), r(0) {}
} t[50 * N];
int T;
int upd(int pre, Line nw, int l, int r) {
int m = (l + r) / 2;
int id = ++T;
t[id].line = t[pre].line;
bool lef = nw.eval(l) < t[id].line.eval(l);
bool mid = nw.eval(m) < t[id].line.eval(m);
if(mid) swap(t[id].line, nw);
if(l == r) return id;
if(lef != mid) {
if(!t[pre].l) t[id].l = ++T, t[T] = LiChaoNode(nw);
else t[id].l = upd(t[pre].l, nw, l, m);
t[id].r = t[pre].r;
} else {
if(!t[pre].r) t[id].r = ++T, t[T] = LiChaoNode(nw);
else t[id].r = upd(t[pre].r, nw, m + 1, r);
t[id].l = t[pre].l;
}
return id;
}
ll Query(int cur, int x, int l, int r) {
ll val = t[cur].line.eval(x);
int m = (l + r) / 2;
if(l < r) {
if(x <= m && t[cur].l) val = min(val, Query(t[cur].l, x, l, m));
if(x > m && t[cur].r) val = min(val, Query(t[cur].r, x, m + 1, r));
}
return val;
}
struct PersistentLiChaoTree {
int L, R;
vector<int> roots;
PersistentLiChaoTree() {
roots = {1};
T = 1;
L = -1e9;
R = 1e9;
}
PersistentLiChaoTree(int L, int R) : L(L), R(R) {
T = 1;
roots.push_back(1);
}
void add_line(Line line) {
int root = upd(roots.back(), line, L, R);
roots.push_back(root);
}
ll query(int i, int x) {
return Query(roots[i], x, L, R);
}
} lt;
int n;
vector<vector<array<int, 2>>> adj;
ll s[N], v[N], sum[N], dp[N];
void dfs(int cur, int par){
for(auto [i, d]: adj[cur]){
if(i == par)continue;
sum[i] = sum[cur] + d;
dfs(i, cur);
}
}
void calc(int cur, int par){
for(auto [i, d]: adj[cur]){
if(i == par)continue;
dp[i] = sum[i] * v[i] + s[i] + lt.query(lt.roots.size() - 1, v[i]);
lt.add_line({-sum[i], dp[i]});
calc(i, cur);
lt.roots.pop_back();
}
}
void solve() {
cin >> n;
adj.assign(n + 1, vector<array<int, 2>>());
for(int i = 0; i < n - 1; i++){
int u, v, d; cin >> u >> v >> d;
adj[u].push_back({v, d});
adj[v].push_back({u, d});
}
dfs(1, 0);
for(int i = 2; i <= n; i++)cin >> s[i] >> v[i];
lt.add_line({0, 0});
calc(1, 0);
for(int i = 2; i <= n; i++){
cout << dp[i];
if(i != n)cout << " ";
}
cout << "\n";
}
int main(){
ios_base::sync_with_stdio(0);
freopen("harbingers.in", "r", stdin);
freopen("harbingers.out", "w", stdout);
int t = 1;
// cin >> t;
while(t--){
solve();
}
}
컴파일 시 표준 에러 (stderr) 메시지
harbingers.cpp: In function 'int main()':
harbingers.cpp:127:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
127 | freopen("harbingers.in", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
harbingers.cpp:128:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
128 | freopen("harbingers.out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~| # | Verdict | Execution time | Memory | Grader output |
|---|
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