#include <iostream>
#include <queue>
#include <stack>
#include <algorithm>
#include <string.h>
#include <functional>
#define task ""
#define size() size() * 1ll
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define pii pair<int, int>
#define pll pair<long long, long long>
#define fi first
#define se second
#define MASK(x) (1LL << (x))
#define BIT(x,i) (((x) >> (i)) & 1)
#define numbit(x) __builtin_popcountll(x)
using namespace std;
typedef vector<int> vi;
typedef vector<pii> vii;
typedef vector<pll> vll;
typedef long long ll;
template<class t>
bool mini(t &x,t y) {
if (y < x) {
x = y;
return 1;
}
return 0;
}
template<class t>
bool maxi(t &x,t y) {
if (x < y) {
x = y;
return 1;
}
return 0;
}
const int N = 1e5 + 1;
int n, ed, ed1;
int b[N], c[N];
ll dp[N], d[N];
pll q[N], bck[N];
vii a[N];
void dfs(int u, int p) {
for (auto v: a[u]) if (v.se ^ p) {
d[v.se] = d[u] + v.fi;
dfs(v.se, u);
}
}
long double intersect(pll a, pll b) {
return (long double) (b.se - a.se) / (a.fi - b.fi);
}
// dp[v] = - d[u] * b[v] + dp[u] + d[v] * b[v] + c[v];
void dfs1(int u, int p) {
int lo = 0, hi = ed - 2;
while (lo <= hi) {
int mid = lo + hi >> 1;
if (intersect(q[mid], q[mid + 1]) <= b[u]) lo = mid + 1; else hi = mid - 1;
}
hi++;
dp[u] = q[hi].fi * b[u] + q[hi].se + d[u] * b[u] + c[u];
pll tmp = pll(-d[u], dp[u]);
ed1 = 0;
while (ed > 1 && intersect(tmp, q[ed - 1]) <= intersect(q[ed - 1], q[ed - 2])) {
bck[ed1++] = q[ed - 1];
ed--;
}
q[ed++] = tmp;
for (auto v: a[u]) if (v.se ^ p) {
dfs1(v.se, u);
}
ed--;
for (int i = ed1 - 1; i >= 0; i--) {
q[ed++] = bck[i];
}
}
void solve(int test = -1) {
cin >> n;
for (int i = 1; i < n; i++) {
int x, y, z;
cin >> x >> y >> z;
a[x].pb(pii(z, y));
a[y].pb(pii(z, x));
}
for (int i = 2; i <= n; i++) {
cin >> c[i] >> b[i];
}
dfs(1, 0);
q[ed++] = pll(0, 0);
for (auto v: a[1]) {
dfs1(v.se, 1);
}
for (int i = 2; i <= n; i++) cout << dp[i] << ' ';
}
int32_t main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
// freopen(task".inp", "r", stdin);
// freopen(task".out", "w", stdout);
int T = 1;
// cin >> T;
for (int i = 1; i <= T; i++) {
solve(i);
}
return 0;
}
/*
*/
Compilation message
harbingers.cpp: In function 'void dfs1(int, int)':
harbingers.cpp:64:22: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
64 | int mid = lo + hi >> 1;
| ~~~^~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
2644 KB |
Output isn't correct |
2 |
Correct |
3 ms |
3028 KB |
Output is correct |
3 |
Correct |
33 ms |
8660 KB |
Output is correct |
4 |
Correct |
48 ms |
11732 KB |
Output is correct |
5 |
Correct |
64 ms |
14020 KB |
Output is correct |
6 |
Correct |
91 ms |
16716 KB |
Output is correct |
7 |
Incorrect |
59 ms |
10200 KB |
Output isn't correct |
8 |
Incorrect |
128 ms |
14004 KB |
Output isn't correct |
9 |
Incorrect |
104 ms |
15952 KB |
Output isn't correct |
10 |
Incorrect |
195 ms |
15468 KB |
Output isn't correct |