Submission #1093571

#TimeUsernameProblemLanguageResultExecution timeMemory
1093571vjudge1Putovanje (COCI20_putovanje)C++17
110 / 110
119 ms33224 KiB
#include <iostream> #include <vector> #include <array> #include <map> using namespace std; using ll = long long; using pii = array<int, 2>; const int maxn = 200'001; const int LOG = 19; int n; vector<int> tree[maxn]; int used[maxn], seen[maxn], depth[maxn], ancestor[LOG][maxn]; pii cost[maxn]; map<pii, int> ident; void dfs(int u, int p, int d){ ancestor[0][u] = p; depth[u] = d; for(int & v : tree[u]) if(v != p) dfs(v, u, d + 1); } void calculateFrequencyOfEdge(int u, int p){ for(int & v : tree[u]) if(v != p){ calculateFrequencyOfEdge(v, u); seen[u] += seen[v]; } if(u != p) used[ident[{min(u, p), max(u, p)}]] += seen[u]; } int main(){ cin.tie(nullptr)->sync_with_stdio(false); cin >> n; for(int i = 0; i < (n - 1); i++){ int a, b, c1, c2; cin >> a >> b >> c1 >> c2; tree[a].emplace_back(b); tree[b].emplace_back(a); cost[i] = {c1, c2}; ident[{min(a, b), max(a, b)}] = i; } dfs(1, 1, 0); for(int i = 1; i < LOG; i++) for(int u = 1; u <= n; u++) ancestor[i][u] = ancestor[i - 1][ancestor[i - 1][u]]; for(int a = 1; a <= (n - 1); a++){ int b = (a + 1); int _a = a, _b = b; if(depth[_b] > depth[_a]) swap(_a, _b); int dif = depth[_a] - depth[_b]; for(int i = LOG - 1; i >= 0; i--) if((1 << i) & dif) _a = ancestor[i][_a]; if(_b == _a){ if(depth[b] > depth[a]){ ++seen[b]; --seen[a]; } else { ++seen[a]; --seen[b]; } } else { for(int i = LOG - 1; i >= 0; i--) if(ancestor[i][_a] != ancestor[i][_b]) _a = ancestor[i][_a], _b = ancestor[i][_b]; _a = ancestor[0][_a]; ++seen[a]; ++seen[b]; seen[_a] -= 2; } } calculateFrequencyOfEdge(1, 1); ll answer = 0; for(int i = 0; i < (n - 1); i++){ answer += min((ll) cost[i][1], (ll) used[i]*cost[i][0]); } cout << answer << '\n'; }
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