Submission #610213

#TimeUsernameProblemLanguageResultExecution timeMemory
610213RandomLBHarbingers (CEOI09_harbingers)C++17
0 / 100
114 ms28492 KiB
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #pragma GCC optimize("O3,unroll-loops") #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt") using namespace std; using namespace __gnu_pbds; typedef long long ll; typedef long double ld; typedef pair<int, int> pi; typedef pair<ll, ll> pll; template<class T> using indexed_set = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>; #define fbo find_by_order //(k-indexed val with 0-indexing) #define ook order_of_key //(num of vals in set that are strictly less) #define ms(x, a) memset(x, a, sizeof(x)) #define siz(x) (int)x.size() #define len(x) (int)x.length() #define pb push_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define F first #define S second #define fin(x) cout << x; return #define deb(...) logger(#__VA_ARGS__, __VA_ARGS__) template<typename ...Args> void logger(string vals, Args&&... values){ cout << vals << " = "; string delim = ""; (...,(cout << delim << values, delim = ", ")); cout << endl; } const int INF = 0x3f3f3f3f; const ll LLINF = 0x3f3f3f3f3f3f3f3f; const int MOD = 1e9+7; //=========================================== const int MAX = 1e5+5; vector<pi> adj[MAX]; ll cost[MAX], speed[MAX], dep[MAX], dp[MAX]; deque<int> q; inline ld sect(int x, int y){ return (ld)(dp[y]-dep[x])/(-dep[x]+dep[y]); } void dfs(int v, int p){ if (v > 1){ int l = -1, r = siz(q)-1; while (l+1 < r){ int m = l+(r-l)/2; if (sect(q[m], q[m+1]) >= speed[v]) r = m; else l = m; } int u = q[r]; dp[v] = cost[v]+speed[v]*(dep[v]-dep[u])+dp[u]; //deb(v, u, dp[v]); while (siz(q) > 1 && sect(q.back(), q[siz(q)-2]) >= sect(q.back(), v)) q.pop_back(); } q.push_back(v); for (auto[u, w]: adj[v]){ if (u == p) continue; dep[u] = dep[v]+w; dfs(u, v); } if (q.back() == v) q.pop_back(); } int main(){ cin.tie(0)->sync_with_stdio(0); //freopen("test.txt", "r", stdin); int n; cin >> n; for (int i = 1; i < n; i++){ int a, b, w; cin >> a >> b >> w; adj[a].pb({b, w}); adj[b].pb({a, w}); } for (int i = 2; i <= n; i++) cin >> cost[i] >> speed[i]; dfs(1, -1); for (int i = 2; i <= n; i++) cout << dp[i] << (i==n?"\n":" "); }
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