제출 #531834

#제출 시각아이디문제언어결과실행 시간메모리
531834sidon도로 폐쇄 (APIO21_roads)C++17
66 / 100
248 ms49376 KiB
#include <bits/stdc++.h> using namespace std; template<class T> using ii = array<T, 2>; using ll = long long; using vi = vector<int>; const int Z = 1e5; const ll INF = 5e13; struct BIT { vi a; vector<ii<int>> vals; vector<ll> b; int n, sz {}; void addVal(ii<int> v) { vals.push_back(v); } void init() { sort(begin(vals), end(vals)); n = size(vals) + 1; b.resize(n); a.resize(n); } void insert(ii<int> v) { int i = 1 + lower_bound(begin(vals), end(vals), v) - begin(vals); for(++sz; i<n; i+=i&-i) { a[i] += 1; b[i] += v[0]; } } ll query(int v) { if(v > sz) return INF; int i = 0; ll s = 0; for(int j = 1<<17; j /= 2; ) if(i+j < n && a[i+j] <= v) { i += j; v -= a[i]; s += b[i]; } return s; } } s[Z]; int deg[Z], k; bool vis[Z]; vector<ii<int>> g[Z]; ii<ll> dfs(int u) { ii<ll> res {INF, INF}; vis[u] = 1; vector<ii<ll>> x; for(const auto [v, w] : g[u]) if(!vis[v]) { x.push_back(dfs(v)); x.back()[1] += w; } ll cost {}; for(auto &[i, j] : x) { cost += i; i -= j; } sort(rbegin(x), rend(x)); for(int i = 0; ; ++i) { for(int j : {0, 1}) res[j] = min(res[j], cost + s[u].query(max(0, (deg[u] - k) - i - j))); if(i == int(size(x))) break; cost -= x[i][0]; } return res; } vector<ll> minimum_closure_costs(int N, vi U, vi V, vi W) { for(int i = 0; i + 1 < N; ++i) { g[U[i]].push_back({V[i], W[i]}); g[V[i]].push_back({U[i], W[i]}); ++deg[U[i]], ++deg[V[i]]; } vector<ii<int>> a; vector<ll> res(N); for(int u = 0; u < N; ++u) { sort(begin(g[u]), end(g[u]), [&](const auto &i, const auto &j) { return deg[i[0]] > deg[j[0]]; }); a.push_back({int(size(g[u])), u}); for(const auto &[v, w] : g[u]) s[u].addVal({w, v}); s[u].init(); } sort(rbegin(a), rend(a)); for(k = 0; k < N; ++k) { while(!empty(a) && a.back()[0] < k) a.pop_back(); for(const auto &[_d, u] : a) { while(!empty(g[u]) && deg[g[u].back()[0]] < k) { s[u].insert({g[u].back()[1], g[u].back()[0]}); g[u].pop_back(); } vis[u] = 0; } for(const auto &[_d, u] : a) if(!vis[u]) res[k] += dfs(u)[0]; } return res; }
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