Submission #291570

#TimeUsernameProblemLanguageResultExecution timeMemory
291570penguinhackerPutovanje (COCI20_putovanje)C++17
110 / 110
182 ms22136 KiB
#include <bits/stdc++.h> using namespace std; #define ll long long #define ar array const int mxN=2e5; int n, c1[mxN], c2[mxN], dep[mxN], anc[mxN][18]; vector<ar<int, 3>> adj[mxN]; void dfs1(int u=0, int p=-1) { for (int i=1; i<18; ++i) anc[u][i]=anc[anc[u][i-1]][i-1]; for (auto& v : adj[u]) if (v[0]!=p) { c1[v[0]]=v[1]; c2[v[0]]=v[2]; dep[v[0]]=dep[u]+1; anc[v[0]][0]=u; dfs1(v[0], u); } } int lca(int a, int b) { if (dep[a]>dep[b]) swap(a, b); for (int i=17; ~i; --i) if (dep[b]-(1<<i)>=dep[a]) b=anc[b][i]; if (a==b) return a; for (int i=17; ~i; --i) if (anc[a][i]!=anc[b][i]) a=anc[a][i], b=anc[b][i]; return anc[a][0]; } int cnt[mxN]; void dfs2(int u=0, int p=-1) { for (auto& v : adj[u]) if (v[0]!=p) { dfs2(v[0], u); cnt[u]+=cnt[v[0]]; } } int main() { ios::sync_with_stdio(0); cin.tie(0); cin >> n; for (int i=1; i<n; ++i) { int a, b, c, d; cin >> a >> b >> c >> d, --a, --b; adj[a].push_back({b, c, d}); adj[b].push_back({a, c, d}); } dfs1(); for (int i=1; i<n; ++i) { ++cnt[i], ++cnt[i-1]; cnt[lca(i, i-1)]-=2; } dfs2(); ll ans=0; for (int i=1; i<n; ++i) ans+=min((ll)cnt[i]*c1[i], (ll)c2[i]); cout << ans << "\n"; return 0; }
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