#include <bits/stdc++.h>
using namespace std;
const int mxN = 1e5 + 10;
const long long INF = 1e18;
struct Line {
long long a, b;
};
struct operation {
int pos, top;
Line overwrite;
operation(int _p, int _t, Line _o) {
pos = _p; top = _t; overwrite = _o;
}
};
long long eval(Line a, long long x) {
return a.a * x + a.b;
}
bool bad(Line a, Line b, Line c) {
return (long double) (b.b - a.b) / (a.a - b.a) >= (long double) (c.b - a.b) / (a.a - c.a);
}
vector<operation> undoLst;
Line lines[mxN];
int n, top;
vector<vector<pair<int, int>>> adj(mxN);
long long S[mxN], V[mxN], h[mxN], dp[mxN];
long long get(long long coord) {
int low = 0, high = top - 1;
while(low <= high) {
int mid = (low + high) / 2;
long long x = eval(lines[mid], coord);
long long y = eval(lines[mid + 1], coord);
if(x >= y) low = mid + 1; else high = mid - 1;
}
return eval(lines[low], coord);
}
void insert_line(Line newLine) {
int low = 1, high = top - 1, k = top;
while(low <= high) {
int mid = (low + high) / 2;
if(bad(lines[mid - 1], lines[mid], newLine)) {
k = mid; high = mid - 1;
} else {
low = mid + 1;
}
}
undoLst.push_back(operation(k, top, lines[k]));
top = k + 1;
lines[k] = newLine;
}
void undo() {
operation ope = undoLst.back(); undoLst.pop_back();
top = ope.top; lines[ope.pos] = ope.overwrite;
}
void dfs(int u, int par) {
if(u > 1) {
dp[u] = get(V[u]) + h[u] * V[u] + S[u];
}
insert_line({- h[u], dp[u]});
for(auto [v, d] : adj[u]) {
if(v == par) continue ;
h[v] = h[u] + d;
dfs(v, u);
}
undo();
}
signed main() {
#define taskname ""
if (fopen(taskname".inp", "r")) {
freopen(taskname".inp", "r", stdin);
freopen(taskname".out", "w", stdout);
}
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n;
for(int i = 1; i <= n - 1; i ++) {
int u, v, d;
cin >> u >> v >> d;
adj[u].push_back({v, d});
adj[v].push_back({u, d});
}
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] << " ";
return 0;
}
Compilation message
harbingers.cpp: In function 'void dfs(int, int)':
harbingers.cpp:73:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
73 | for(auto [v, d] : adj[u]) {
| ^
harbingers.cpp: In function 'int main()':
harbingers.cpp:86:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
86 | freopen(taskname".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
harbingers.cpp:87:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
87 | freopen(taskname".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2644 KB |
Output is correct |
2 |
Correct |
3 ms |
3228 KB |
Output is correct |
3 |
Correct |
29 ms |
10796 KB |
Output is correct |
4 |
Correct |
55 ms |
14412 KB |
Output is correct |
5 |
Correct |
50 ms |
17656 KB |
Output is correct |
6 |
Correct |
68 ms |
20896 KB |
Output is correct |
7 |
Correct |
40 ms |
12004 KB |
Output is correct |
8 |
Correct |
106 ms |
17016 KB |
Output is correct |
9 |
Correct |
77 ms |
19032 KB |
Output is correct |
10 |
Correct |
70 ms |
17756 KB |
Output is correct |