제출 #1168799

#제출 시각아이디문제언어결과실행 시간메모리
1168799steveonalexVillage (BOI20_village)C++20
100 / 100
54 ms22068 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef unsigned long long ull; #define MASK(i) (1ULL << (i)) #define GETBIT(mask, i) (((mask) >> (i)) & 1) #define ALL(v) (v).begin(), (v).end() #define block_of_code if(true) ll max(ll a, ll b){return (a > b) ? a : b;} ll min(ll a, ll b){return (a < b) ? a : b;} ll gcd(ll a, ll b){return __gcd(a, b);} ll lcm(ll a, ll b){return a / gcd(a, b) * b;} ll LASTBIT(ll mask){return (mask) & (-mask);} int pop_cnt(ull mask){return __builtin_popcountll(mask);} int ctz(ull mask){return __builtin_ctzll(mask);} int logOf(ull mask){return 63 - __builtin_clzll(mask);} mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count()); ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);} double rngesus_d(double l, double r){ double cur = rngesus(0, MASK(60) - 1); cur /= MASK(60) - 1; return l + cur * (r - l); } template <class T1, class T2> bool maximize(T1 &a, T2 b){ if (a < b) {a = b; return true;} return false; } template <class T1, class T2> bool minimize(T1 &a, T2 b){ if (a > b) {a = b; return true;} return false; } template <class T> void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){ for(auto item: container) out << item << separator; out << finish; } template <class T> void remove_dup(vector<T> &a){ sort(ALL(a)); a.resize(unique(ALL(a)) - a.begin()); } const int N = 1e5 + 69, INF = 1e9 + 69; int n; vector<int> graph[N]; int sz[N]; ll ans1 = 0, ans2 = 0; pair<int, int> dp[N]; vector<int> st; vector<vector<int>> lemeat; void dfs(int u, int p){ sz[u] = 1; dp[u] = {1, 0}; st.push_back(u); for(int v: graph[u]) if (v != p){ dfs(v, u); sz[u] += sz[v]; ans2 += min(sz[v], n - sz[v]); if (dp[v].first >= 2){ dp[u].second += dp[v].second; lemeat.emplace_back(); while(st.back() != v){ lemeat.back().push_back(st.back()); st.pop_back(); } st.pop_back(); lemeat.back().push_back(v); } else{ dp[u].first += dp[v].first; dp[u].second += dp[v].second + 1; } } } namespace Sub1{ vector<int> solve(){ vector<int> ans(n+1); for(vector<int> a: lemeat){ for(int i = 0; i < (int) a.size(); ++i){ int j = (i + 1) % a.size(); ans[a[j]] = a[i]; } } return ans; } } namespace Sub2{ int find_centroid(int u){ for(int v: graph[u]){ if (sz[v] * 2 <= sz[u]) continue; sz[u] -= sz[v]; sz[v] += sz[u]; return find_centroid(v); } return u; } void get_ver_set(int u, int p, vector<int> &ver){ ver.push_back(u); for(int v: graph[u]) if (v != p){ get_ver_set(v, u, ver); } } vector<int> solve(){ vector<int> order; int root = find_centroid(1); vector<vector<int>> sigma; sigma.push_back({root}); for(int i: graph[root]){ vector<int> ver; get_ver_set(i, root, ver); sigma.push_back(ver); } priority_queue<pair<int,int>> pq; for(int i = 0; i < (int) sigma.size(); ++i) pq.push(make_pair(sigma[i].size(), i)); while(pq.size()){ pair<int, int> u = pq.top(); pq.pop(); order.push_back(sigma[u.second].back()); // ans.push_back(u.second); sigma[u.second].pop_back(); if (pq.empty()) break; pair<int, int> v = pq.top(); pq.pop(); order.push_back(sigma[v.second].back()); // ans.push_back(v.second); sigma[v.second].pop_back(); u.first--; v.first--; if (u.first > 0) pq.push(u); if (v.first > 0) pq.push(v); } vector<int> ans(n+1); for(int i = 0; i < (int) order.size(); ++i){ int j = (i+1) % order.size(); ans[order[j]] = order[i]; } return ans; } } void solve(){ cin >> n; for(int i = 1; i < n; ++i){ int u, v; cin >> u >> v; graph[u].push_back(v); graph[v].push_back(u); } dfs(1, 0); ans1 = dp[1].second + (dp[1].first == 1); if (dp[1].first == 1){ lemeat.back().push_back(1); } else{ lemeat.push_back(st); } ans1 *= 2; ans2 *= 2; cout << ans1 << " " << ans2 << "\n"; vector<int> min_ass = Sub1::solve(); vector<int> max_ass = Sub2::solve(); for(int i = 1; i <= n; ++i) cout << min_ass[i] << " "; cout << "\n"; for(int i = 1; i <= n; ++i) cout << max_ass[i] << " "; cout << "\n"; } int main(void){ ios::sync_with_stdio(0);cin.tie(0); cout.tie(0); clock_t start = clock(); solve(); cerr << "Time elapsed: " << clock() - start << " ms\n"; return 0; }
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