結果
問題 | No.2536 同値性と充足可能性 |
ユーザー |
|
提出日時 | 2023-11-10 22:00:09 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 48 ms / 2,000 ms |
コード長 | 6,690 bytes |
コンパイル時間 | 2,261 ms |
コンパイル使用メモリ | 211,452 KB |
最終ジャッジ日時 | 2025-02-17 20:45:56 |
ジャッジサーバーID (参考情報) |
judge5 / judge5 |
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ファイルパターン | 結果 |
---|---|
other | AC * 31 |
ソースコード
#include <bits/stdc++.h>using namespace std;#define overload4(_1, _2, _3, _4, name, ...) name#define rep1(n) for(int i = 0; i < (int)(n); ++i)#define rep2(i, n) for(int i = 0; i < (int)(n); ++i)#define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i)#define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c))#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i)#define ALL(a) (a).begin(), (a).end()#define Sort(a) (sort((a).begin(), (a).end()))#define RSort(a) (sort((a).rbegin(), (a).rend()))#define UNIQUE(a) (a.erase(unique((a).begin(), (a).end()), (a).end()))typedef long long int ll;typedef unsigned long long ul;typedef long double ld;typedef vector<int> vi;typedef vector<long long> vll;typedef vector<char> vc;typedef vector<string> vst;typedef vector<double> vd;typedef vector<long double> vld;typedef pair<long long, long long> P;template<class T> long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); }template<class T> auto min(const T& a){ return *min_element(a.begin(), a.end()); }template<class T> auto max(const T& a){ return *max_element(a.begin(), a.end()); }const long long MINF = 0x7fffffffffff;const long long INF = 0x1fffffffffffffff;const long long MOD = 998244353;const long double EPS = 1e-9;const long double PI = acos(-1);template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }template<typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p){ is >> p.first >> p.second; return is; }template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){ os << "(" << p.first << ", " << p.second << ")"; returnos; }template<typename T> istream &operator>>(istream &is, vector<T> &v){ for(T &in : v) is >> in; return is; }template<typename T> ostream &operator<<(ostream &os, const vector<T> &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; }template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " ";} return os; }template <typename T> ostream &operator<<(ostream &os, const set<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr<< (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os <<*itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }template <typename T> ostream &operator<<(ostream &os, queue<T> q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; }template <typename T> ostream &operator<<(ostream &os, deque<T> q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; }template <typename T> ostream &operator<<(ostream &os, stack<T> st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; }template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq){ while(pq.size()){ os<< pq.top() << " "; pq.pop(); } return os; }template<class T, class U> inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; }template<class T> inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; }template<class... T> void in(T&... a){ (cin >> ... >> a); }void out(){ cout << '\n'; }template<class T, class... Ts> void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; }template<class T, class U> void inGraph(vector<vector<T>>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b;cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } }template <typename T>struct WeightedUnionFind{vector<int> par, rank, siz;vector<T> diff_weight;WeightedUnionFind(const int &N, const T &e = 0) : par(N), rank(N), siz(N), diff_weight(N){for(int i = 0; i < N; ++i){par[i] = i;rank[i] = 0;siz[i] = 1;diff_weight[i] = e;}}int root(const int &x){if(par[x] == x){return x;}int rx = root(par[x]);diff_weight[x] += diff_weight[par[x]];return par[x] = rx;}T weight(const int &x){root(x);return diff_weight[x];}T diff(const int &x, const int &y){return weight(y) - weight(x);}void unite(const int &x, const int &y, T w){w += weight(x);w -= weight(y);int rx = root(x);int ry = root(y);if(rx == ry) return;if(rank[rx] < rank[ry]){swap(rx, ry);w = -w;}par[ry] = rx;siz[rx] += siz[ry];diff_weight[ry] = w;if(rank[rx] == rank[ry]) ++rank[rx];}bool same(const int &x, const int &y){int rx = root(x);int ry = root(y);return rx == ry;}int size(const int &x){return siz[root(x)];}};ll n, m;void input(){in(n, m);}void solve(){WeightedUnionFind<ll> uf(n);rep(i, m){ll u, v;string e;in(u, e, v); u--, v--;if(e == "<==>"){if(uf.same(u, v) && abs(uf.diff(u, v)) % 2 == 1){out("No");return;}uf.unite(u, v, 0);}else{if(uf.same(u, v) && abs(uf.diff(u, v)) % 2 == 0){out("No");return;}uf.unite(u, v, 1);}}vector<vll> w0(n), w1(n);rep(i, n){ll r = uf.root(i);ll w = abs(uf.weight(i)) % 2;w += 2, w %= 2;if(w == 1){w1[r].push_back(i);}else{w0[r].push_back(i);}}vll ans;rep(i, n){if(uf.root(i) == i){if(w0[i].size() >= w1[i].size()){for(auto x : w0[i]){ans.push_back(x + 1);}}else{for(auto x : w1[i]){ans.push_back(x + 1);}}}}Sort(ans);out("Yes");out((int) ans.size());out(ans);}int main(){ios::sync_with_stdio(false);cin.tie(nullptr);cout << fixed << setprecision(20);input();solve();}