#include <bits/stdc++.h>
using namespace std;
#define f first
#define s second
const long long inf = 1e9;
const int N = 1e5 + 69;
const int M = 10 * N;
struct Line {
long long k;
long long n;
Line(long long _k = 0, long long _n = inf) {
k = _k;
n = _n;
}
long long val(long long x) {
return k * x + n;
}
} st[M];
int lc[M], rc[M], root[N], node;
vector<pair<int, int>> g[N];
int s[N], w[N], n;
long long dp[N], dep[N];
void AddLine(int v, int p, int l, int r, Line ln) {
long long mid = (l + r) / 2;
st[v] = st[p];
if (st[v].val(mid) > ln.val(mid))
swap(st[v], ln);
if (l == r)
return;
if (ln.val(l) < st[v].val(l)) {
lc[v] = ++node;
rc[v] = rc[p];
AddLine(lc[v], lc[p], l, mid, ln);
}
else {
rc[v] = ++node;
lc[v] = lc[p];
AddLine(rc[v], rc[p], mid + 1, r, ln);
}
}
long long Query(int v, int l, int r, int x) {
if (l == r)
return st[v].val(x);
else {
int mid = (l + r) / 2;
if (x <= mid)
return min(st[v].val(x), Query(lc[v], l, mid, x));
else
return min(st[v].val(x), Query(rc[v], mid + 1, r, x));
}
}
void dfs(int v, int p) {
dp[v] = min(dep[v] * w[v] + s[v], Query(root[p], 1, inf, w[v]) + dep[v] * w[v] + s[v]);
root[v] = ++node;
Line ln = {-dep[v], dp[v]};
AddLine(root[v], root[p], 1, inf, ln);
for (auto u : g[v]) {
if (u.f == p)
continue;
dep[u.f] = dep[v] + u.s;
dfs(u.f, v);
}
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int tt = 1;
//cin >> tt;
while (tt--) {
cin >> n;
for (int i = 1;i <= n - 1;i++) {
int a, b, c;
cin >> a >> b >> c;
g[a].push_back({b, c});
g[b].push_back({a, c});
}
for (int i = 2;i <= n;i++)
cin >> s[i] >> w[i];
dfs(1, 0);
for (int i = 2;i <= n;i++)
cout << dp[i] << " ";
}
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
22620 KB |
Output is correct |
| 2 |
Correct |
6 ms |
23132 KB |
Output is correct |
| 3 |
Runtime error |
62 ms |
65132 KB |
Execution killed with signal 11 |
| 4 |
Runtime error |
194 ms |
65540 KB |
Execution killed with signal 9 |
| 5 |
Runtime error |
219 ms |
65536 KB |
Execution killed with signal 9 |
| 6 |
Runtime error |
193 ms |
65536 KB |
Execution killed with signal 9 |
| 7 |
Runtime error |
68 ms |
64848 KB |
Execution killed with signal 11 |
| 8 |
Runtime error |
216 ms |
65540 KB |
Execution killed with signal 9 |
| 9 |
Runtime error |
195 ms |
65536 KB |
Execution killed with signal 9 |
| 10 |
Runtime error |
184 ms |
65536 KB |
Execution killed with signal 9 |
