Submission #936863

#TimeUsernameProblemLanguageResultExecution timeMemory
936863idiotcomputerHarbingers (CEOI09_harbingers)C++11
0 / 100
130 ms65536 KiB
#include <bits/stdc++.h> using namespace std; #define ll long long int #define pii pair<int,int> #define pb push_back #define sz size #define f first #define s second const int mxN = 1e5; int start[mxN]; int speed[mxN]; vector<pii> adj[mxN]; ll dp[mxN]; ll dist[mxN]; ll comp(int a, int b){ if (dist[b] < dist[a]) swap(a,b); return (ll) ceil((double) (dp[b] - dp[a]) / (double) (dist[b] - dist[a])); } deque<int> all; void dfs(int node, int p){ dp[node] = 0; int r = all.sz()-1; int l = -1; int curr; while (r - l > 1){ curr = (r+l)/2; // cout << comp(all[curr],all[curr+1]) << "-" << all[curr] << " " << all[curr+1] << '\n'; if (comp(all[curr],all[curr+1]) <= (ll) speed[node]){ l = curr; } else { r = curr; } } /* cout << node << " " << r << ": "; for (int i =0; i < all.sz(); i++){ cout << all[i] << " "; } cout << "\n";*/ if (l != r){ dp[node] = dp[r] + (dist[node] - dist[r]) * (ll) speed[node] + (ll) start[node]; } stack<int> rem; while (all.sz() > 1 && comp(all[all.sz()-1],all[all.sz()-2]) >= comp(all[all.sz()-1],node)){ // cout << comp(all[all.sz()-1],all[all.sz()-2]) << " " << comp(all[all.sz()-1],node) << "\n"; rem.push(all[all.sz()-1]); all.pop_back(); } all.push_back(node); for (pii next : adj[node]){ if (next.f != p){ dist[next.f] = dist[node] + next.s; dfs(next.f,node); } } all.pop_back(); while (rem.sz()>0){ all.push_back(rem.top()); rem.pop(); } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); int n; cin >> n; int a,b,d; for (int i =0; i < n-1; i++){ cin >> a >> b >> d; a -= 1; b -= 1; adj[a].pb({b,d}); adj[b].pb({a,d}); } start[0] = 0; speed[0] = 0; for (int i =1; i < n; i++) cin >> start[i] >> speed[i]; dist[0] = 0; dfs(0,-1); for (int i =1; i < n; i++){ cout << dp[i] << " "; } cout << '\n'; return 0; }
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