#include <bits/stdc++.h>
#define ll long long
using namespace std;
const ll N = 1e5+10, oo = 4e18;
vector<pair<int, int>> edges[N];
int p[N], s[N], v[N], sum[N];
ll dp[N], n;
void mini(ll &x, ll y) {
if(x > y) {
x = y;
}
}
struct line {
ll k, b;
line(ll _k, ll _b) : k(_k), b(_b) {}
line() : line(0, 4e18) {}
ll f(ll x) {
return k*x + b;
}
};
struct node {
node *L, *R;
line l;
node() : L(NULL), R(NULL), l() {}
} *root;
pair<line*, line> ops[500005];
int timer = 0;
void add_line(ll l, ll r, line ln, node *&t) {
if(t == NULL) t = new node();
ll m = l + r >> 1;
bool lft = t->l.f(l) < ln.f(l);
bool mid = t->l.f(m) < ln.f(m);
if(lft == mid && !lft) {
line save = t->l;
pair<line*, line> p = {&(t->l), save};
swap(ln, t->l);
if(timer <= 5e5)ops[++timer] = p;
}
if(lft != mid && !mid) {
line save = t->l;
pair<line*, line> p = {&(t->l), save};
swap(ln, t->l);
if(timer <= 5e5)ops[++timer] = p;
}
if(l == r) {
return;
}
if(lft == mid) {
add_line(m+1, r, ln, t->R);
} else {
add_line(l, m, ln, t->L);
}
}
ll get_min(ll l, ll r, ll x, node *&t) {
if(t == NULL || l > x || r < x) return oo;
if(l == r) return t->l.f(x);
ll m = l + r >> 1;
ll children = min(get_min(l, m, x, t->L), get_min(m+1, r, x, t->R));
ll all = min(children, t->l.f(x));
return all;
}
void rollback(int T) {
while(timer > T) {
pair<line*, line> p = ops[timer--];
(*p.first) = p.second;
}
}
void dfs(int x, int p) {
int T = timer;
if(x == 1) {
dp[x] = 0;
} else {
dp[x] = get_min(1, 1e9, v[x], root) + (ll)sum[x] * v[x] + (ll)s[x];
}
add_line(1, 1e9, line(-sum[x], dp[x]), root);
for(pair<int, int> to : edges[x]) {
if(to.first != p) {
sum[to.first] = sum[x] + to.second;
dfs(to.first, x);
}
}
rollback(T);
}
int main() {
ios::sync_with_stdio(0); cin.tie(0);
cin >> n;
for(int i = 0; i < n-1; ++i) {
int u, v, w; cin >> u >> v >> w;
edges[u].push_back({v, w});
edges[v].push_back({u, w});
}
for(int i = 2; i <= n; ++i) {
cin >> s[i] >> v[i];
}
dfs(1, 0);
for(int i = 2; i <= n; ++i) {
cout << dp[i] << ' ';
}
}
Compilation message
harbingers.cpp: In function 'void add_line(long long int, long long int, line, node*&)':
harbingers.cpp:30:11: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
30 | ll m = l + r >> 1;
| ~~^~~
harbingers.cpp: In function 'long long int get_min(long long int, long long int, long long int, node*&)':
harbingers.cpp:57:11: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
57 | ll m = l + r >> 1;
| ~~^~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
8 ms |
14436 KB |
Output is correct |
| 2 |
Correct |
11 ms |
14760 KB |
Output is correct |
| 3 |
Correct |
83 ms |
22776 KB |
Output is correct |
| 4 |
Correct |
97 ms |
24240 KB |
Output is correct |
| 5 |
Correct |
119 ms |
25540 KB |
Output is correct |
| 6 |
Correct |
151 ms |
28108 KB |
Output is correct |
| 7 |
Incorrect |
107 ms |
20888 KB |
Output isn't correct |
| 8 |
Incorrect |
170 ms |
28796 KB |
Output isn't correct |
| 9 |
Runtime error |
167 ms |
33664 KB |
Memory limit exceeded |
| 10 |
Incorrect |
160 ms |
30772 KB |
Output isn't correct |
