結果

問題 No.2536 同値性と充足可能性
ユーザー fuppy_kyopro
提出日時 2023-11-10 21:46:22
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 131 ms / 2,000 ms
コード長 6,329 bytes
コンパイル時間 12,146 ms
コンパイル使用メモリ 296,708 KB
最終ジャッジ日時 2025-02-17 20:36:21
ジャッジサーバーID
(参考情報)
judge4 / judge2
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ファイルパターン 結果
other AC * 31
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ソースコード

diff #
プレゼンテーションモードにする

//*
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
//*/
#include <bits/stdc++.h>
// #include <atcoder/all>
// #include <atcoder/lazysegtree>
using namespace std;
// using namespace atcoder;
// #define _GLIBCXX_DEBUG
#define DEBUG(x) cerr << #x << ": " << x << endl;
#define DEBUG_VEC(v) \
cerr << #v << ":"; \
for (int iiiiiiii = 0; iiiiiiii < v.size(); iiiiiiii++) \
cerr << " " << v[iiiiiiii]; \
cerr << endl;
#define DEBUG_MAT(v) \
cerr << #v << endl; \
for (int iv = 0; iv < v.size(); iv++) { \
for (int jv = 0; jv < v[iv].size(); jv++) { \
cerr << v[iv][jv] << " "; \
} \
cerr << endl; \
}
typedef long long ll;
// #define int ll
#define vi vector<int>
#define vl vector<ll>
#define vii vector<vector<int>>
#define vll vector<vector<ll>>
#define vs vector<string>
#define pii pair<int, int>
#define pis pair<int, string>
#define psi pair<string, int>
#define pll pair<ll, ll>
template <class S, class T>
pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) {
return pair<S, T>(s.first + t.first, s.second + t.second);
}
template <class S, class T>
pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); }
template <class S, class T>
ostream &operator<<(ostream &os, pair<S, T> p) {
os << "(" << p.first << ", " << p.second << ")";
return os;
}
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)
#define rrep(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rrep1(i, n) for (int i = (int)(n); i > 0; i--)
#define REP(i, a, b) for (int i = a; i < b; i++)
#define in(x, a, b) (a <= x && x < b)
#define all(c) c.begin(), c.end()
void YES(bool t = true) {
cout << (t ? "YES" : "NO") << endl;
}
void Yes(bool t = true) { cout << (t ? "Yes" : "No") << endl; }
void yes(bool t = true) { cout << (t ? "yes" : "no") << endl; }
void NO(bool t = true) { cout << (t ? "NO" : "YES") << endl; }
void No(bool t = true) { cout << (t ? "No" : "Yes") << endl; }
void no(bool t = true) { cout << (t ? "no" : "yes") << endl; }
template <class T>
bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T>
bool chmin(T &a, const T &b) {
if (a > b) {
a = b;
return 1;
}
return 0;
}
#define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end());
const ll inf = 1000000001;
const ll INF = (ll)1e18 + 1;
const long double pi = 3.1415926535897932384626433832795028841971L;
int popcount(ll t) { return __builtin_popcountll(t); }
// int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
// int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };
vi dx = {0, 0, -1, 1}, dy = {-1, 1, 0, 0};
vi dx2 = {1, 1, 0, -1, -1, -1, 0, 1}, dy2 = {0, 1, 1, 1, 0, -1, -1, -1};
struct Setup_io {
Setup_io() {
ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
cout << fixed << setprecision(25);
}
} setup_io;
// const ll MOD = 1000000007;
// const ll MOD = 998244353;
// #define mp make_pair
// #define endl '\n'
class UnionFind {
private:
vi par_; // �e
vi ran_; // �؂̐[��
vi num_; // �v�f��
vi edge_num_; // �v�f��
public:
int n;
int g; // group��
UnionFind(int _n) {
n = _n;
g = n;
par_.resize(n);
ran_.resize(n);
num_.resize(n);
edge_num_.resize(n);
for (int i = 0; i < n; i++) {
par_[i] = i;
ran_[i] = 0;
num_[i] = 1;
edge_num_[i] = 0;
}
}
// �؂̍������߂�
int find(int x) {
if (par_[x] == x) {
return x;
} else {
return par_[x] = find(par_[x]);
}
}
// x��y�̑�����W���𕹍
void unite(int x, int y) {
x = find(x);
y = find(y);
int numsum = num_[x] + num_[y];
int edge_numsum = edge_num_[x] + edge_num_[y];
if (x == y) {
edge_num_[x]++;
return;
}
if (ran_[x] < ran_[y]) {
par_[x] = y;
} else {
par_[y] = x;
if (ran_[x] == ran_[y]) {
ran_[x]++;
}
}
num_[x] = num_[y] = numsum;
edge_num_[x] = edge_num_[y] = edge_numsum + 1;
g--;
}
// x��y�������W���ɑ�����ۂ�
bool same(int x, int y) {
return find(x) == find(y);
}
int num(int x) {
return num_[find(x)];
}
int edge_num(int x) {
return edge_num_[find(x)];
}
};
signed main() {
int n, m;
cin >> n >> m;
UnionFind uf(2 * n);
rep(i, m) {
int u, v;
string s;
cin >> u >> s >> v;
u--;
v--;
if (s.size() == 4) {
uf.unite(u, v);
uf.unite(u + n, v + n);
} else {
uf.unite(u, v + n);
uf.unite(u + n, v);
}
}
rep(i, n) {
if (uf.same(i, i + n)) {
No();
return 0;
}
}
Yes();
set<int> root;
rep(i, 2 * n) {
if (i != uf.find(i)) {
continue;
}
root.insert(i);
}
map<int, int> mp;
rep(i, n) {
int r = uf.find(i);
mp[r]++;
}
set<int> good_root;
for (auto r : root) {
int v;
if (r < n) {
v = r + n;
} else {
v = r - n;
}
if (mp[v] > mp[r]) {
good_root.insert(v);
} else if (mp[v] == mp[r]) {
if (v > r) {
good_root.insert(v);
}
}
}
vi ans;
rep(i, n) {
if (good_root.count(uf.find(i))) {
ans.push_back(i);
}
}
cout << ans.size() << endl;
rep(i, ans.size()) {
cout << ans[i] + 1 << " \n"[i == ans.size() - 1];
}
}
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