Submission #651982

#TimeUsernameProblemLanguageResultExecution timeMemory
651982thiago4532Logičari (COCI21_logicari)C++17
110 / 110
400 ms51476 KiB
#include <bits/stdc++.h> #define int ll #define ff first #define ss second #define mp make_pair #define fast_io do { ios::sync_with_stdio(false), cin.tie(0); } while(0) #ifdef TDEBUG #define debug(...) dout(#__VA_ARGS__, __VA_ARGS__) #define cdeb cout #define dfast_io do {} while(0) #else #define debug(...) do {} while(0) struct dostream {} cdeb; #define dfast_io fast_io template<typename T> dostream& operator<<(dostream& out, T&& t) { return out; } #endif template<typename T> void dout(std::string const& name, T arg) { std::cerr << name << " = " << arg << std::endl; } template<typename T1, typename... T2> void dout(std::string const& names, T1 arg, T2... args) { std::cerr << names.substr(0, names.find(',')) << " = " << arg << " | "; dout(names.substr(names.find(',') + 2), args...); } using namespace std; typedef long long ll; typedef pair<int, int> pii; template<typename A, typename B> ostream& operator<<(ostream& out, pair<A, B> const& p) { out << "(" << p.ff << ", " << p.ss << ")"; return out; } template<typename T> ostream& operator<<(ostream& out, vector<T> const& v) { for (auto const& e : v) out << e << " "; return out; } template<typename T> ostream& operator<<(ostream& out, pair<T*,int> p) { for (;p.ss--;p.ff++) out << *p.ff << " "; return out; } const int maxn = 1e5 + 10; const int inf = 0x3f3f3f3f; const int mod = 1e9 + 7; vector<int> grafo[maxn], grafo2[maxn], ciclo; int n, pai[maxn], ch[maxn]; bool mark[maxn], mark2[maxn], in_cycle[maxn]; int dp2[maxn][2][2], dp[maxn][2][2][2][2]; int find_cycle(int u, int p = 0) { mark[u] = true; mark2[u] = true; for (auto v : grafo2[u]) { if (v == p) continue; if (mark2[v]) { in_cycle[u] = true; ciclo.push_back(u); return v; } else if (!mark[v]) { int x = find_cycle(v, u); if (x) { if (x == -1) return -1; in_cycle[u] = true; ciclo.push_back(u); return (x == u ? -1 : x); } } } return 0; } void dfs(int u) { for (auto v : grafo[u]) { if (v == pai[u]) continue; pai[v] = u; ch[u]++; dfs(v); } } int solve(int u, bool c, bool pc, bool c1, bool cn) { int& ans = dp[u][c][pc][c1][cn]; if (ans != -1) return ans; if (u == ciclo.back()) { if (c != cn || (pc && c1)) return inf; pc |= c1; } if (ch[u] == 0) return pc ? c : inf; if (dp[u][c][pc][c1][cn] != -1) return dp[u][c][pc][c1][cn]; int sum = 0; vector<pii> s; s.reserve(ch[u]); for (auto v : grafo[u]) { if (v == pai[u]) continue; s.push_back({v, solve(v, 0, c, c1, cn)}); sum += s.back().ss; } ans = inf; if (pc) { ans = sum; } else { for (auto [v, d] : s) { ans = min(ans, sum - d + solve(v, 1, c, c1, cn)); } } ans += c; ans = min(ans, inf); return ans; } int32_t main() { memset(dp, -1, sizeof dp); memset(dp2, -1, sizeof dp2); dfast_io; cin >> n; for (int i = 1; i <= n; i++) { int a, b; cin >> a >> b; grafo2[a].push_back(b); grafo2[b].push_back(a); } find_cycle(1); for (int u = 1; u <= n; u++) { for (auto v : grafo2[u]) { if (u == ciclo.front() && v == ciclo.back()) continue; if (v == ciclo.front() && u == ciclo.back()) continue; grafo[u].push_back(v); } } int u = ciclo.front(); dfs(u); int ans = min(solve(u, 1, 0, 1, 0), solve(u, 0, 0, 0, 0)); ans = min({ans, solve(u, 1, 1, 1, 1), solve(u, 0, 1, 0, 1)}); cout << (ans >= inf ? -1 : ans) << '\n'; // cin >> n; // for (int i = 1; i < n; i++) { // int a, b; // cin >> a >> b; // grafo[a].push_back(b); // grafo[b].push_back(a); // } // dfs(1); // cout << solve_tree(1, 0, 0) << '\n'; // cout << solve_tree(1, 1, 0) << '\n'; return 0; }
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