#866602 (C++17) No.2293 無向辺 2-SAT

提出ソース

結果

問題	No.2293 無向辺 2-SAT
ユーザー	siganai
提出日時	2023-05-05 22:45:38
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	105 ms / 4,000 ms
コード長	8,246 bytes
コンパイル時間	2,711 ms
コンパイル使用メモリ	209,988 KB
実行使用メモリ	11,392 KB
最終ジャッジ日時	2024-11-23 10:16:26
合計ジャッジ時間	13,831 ms
ジャッジサーバーID （参考情報）	judge2 / judge3

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	2 ms 5,248 KB
testcase_01	AC	3 ms 6,816 KB
testcase_02	AC	2 ms 6,820 KB
testcase_03	AC	103 ms 11,392 KB
testcase_04	AC	98 ms 6,820 KB
testcase_05	AC	92 ms 6,820 KB
testcase_06	AC	91 ms 6,816 KB
testcase_07	AC	44 ms 6,820 KB
testcase_08	AC	91 ms 6,816 KB
testcase_09	AC	80 ms 6,820 KB
testcase_10	AC	81 ms 6,816 KB
testcase_11	AC	100 ms 6,820 KB
testcase_12	AC	94 ms 6,816 KB
testcase_13	AC	78 ms 6,816 KB
testcase_14	AC	72 ms 6,820 KB
testcase_15	AC	68 ms 6,816 KB
testcase_16	AC	98 ms 6,816 KB
testcase_17	AC	101 ms 6,820 KB
testcase_18	AC	95 ms 6,816 KB
testcase_19	AC	48 ms 6,816 KB
testcase_20	AC	102 ms 6,816 KB
testcase_21	AC	98 ms 6,820 KB
testcase_22	AC	102 ms 6,816 KB
testcase_23	AC	102 ms 6,820 KB
testcase_24	AC	103 ms 6,816 KB
testcase_25	AC	102 ms 6,820 KB
testcase_26	AC	103 ms 6,820 KB
testcase_27	AC	103 ms 6,820 KB
testcase_28	AC	103 ms 6,820 KB
testcase_29	AC	105 ms 6,816 KB
testcase_30	AC	104 ms 6,820 KB
testcase_31	AC	104 ms 6,816 KB
testcase_32	AC	93 ms 6,816 KB
testcase_33	AC	88 ms 6,816 KB
testcase_34	AC	87 ms 6,816 KB
testcase_35	AC	87 ms 6,820 KB
testcase_36	AC	88 ms 6,820 KB
testcase_37	AC	90 ms 6,820 KB
testcase_38	AC	91 ms 6,816 KB
testcase_39	AC	89 ms 6,820 KB
testcase_40	AC	87 ms 6,816 KB
testcase_41	AC	73 ms 6,816 KB
testcase_42	AC	80 ms 6,820 KB
testcase_43	AC	85 ms 6,816 KB
testcase_44	AC	91 ms 6,816 KB
testcase_45	AC	94 ms 6,816 KB
testcase_46	AC	96 ms 6,816 KB
testcase_47	AC	98 ms 6,816 KB
testcase_48	AC	100 ms 5,248 KB
testcase_49	AC	102 ms 5,248 KB
testcase_50	AC	104 ms 6,820 KB
testcase_51	AC	102 ms 5,248 KB
testcase_52	AC	102 ms 5,248 KB
testcase_53	AC	103 ms 5,248 KB
testcase_54	AC	103 ms 5,248 KB
testcase_55	AC	103 ms 5,248 KB

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ソースコード

raw source code

#line 1 "main.cpp"
//#pragma GCC target("avx")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>

#ifdef LOCAL
#include <debug.hpp>
#define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) (static_cast<void>(0))
#endif
using namespace std;
using ll = long long;
using ld = long double;
using pll = pair<ll, ll>;
using pii = pair<int, int>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vpii = vector<pii>;
using vpll = vector<pll>;
using vs = vector<string>;
template<class T> using pq = priority_queue<T, vector<T>, greater<T>>;
#define overload4(_1, _2, _3, _4, name, ...) name
#define overload3(a,b,c,name,...) name
#define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER)
#define rep2(i, n) for (ll i = 0; i < (n); ++i)
#define rep3(i, a, b) for (ll i = (a); i < (b); ++i)
#define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep1(n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--)
#define rrep4(i,a,b,c) for(ll i = (a) + ((b)-(a)-1) / (c) * (c);i >= (a);i -= c)
#define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__)
#define all1(i) begin(i) , end(i)
#define all2(i,a) begin(i) , begin(i) + a
#define all3(i,a,b) begin(i) + a , begin(i) + b
#define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__)
#define sum(...) accumulate(all(__VA_ARGS__),0LL)
template<class T> bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; }
template<class T> bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; }
template<class T> auto min(const T& a){ return *min_element(all(a)); }
template<class T> auto max(const T& a){ return *max_element(all(a)); }
template<class... Ts> void in(Ts&... t);
#define INT(...) int __VA_ARGS__; in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__; in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__; in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__; in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__; in(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__; in(__VA_ARGS__)
#define VEC(type, name, size) vector<type> name(size); in(name)
#define VV(type, name, h, w) vector<vector<type>> name(h, vector<type>(w)); in(name)
ll intpow(ll a, ll b){ ll ans = 1; while(b){if(b & 1) ans *= a; a *= a; b /= 2;} return ans;}
ll modpow(ll a, ll b, ll p){ ll ans = 1; a %= p;if(a < 0) a += p;while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; }
ll GCD(ll a,ll b) { if(a == 0 || b == 0) return 0; if(a % b == 0) return b; else return GCD(b,a%b);}
ll LCM(ll a,ll b) { if(a == 0) return b; if(b == 0) return a;return a / GCD(a,b) * b;}
namespace IO{
#define VOID(a) decltype(void(a))
struct setting{ setting(){cin.tie(nullptr); ios::sync_with_stdio(false);fixed(cout); cout.precision(30);}} setting;
template<int I> struct P : P<I-1>{};
template<> struct P<0>{};
template<class T> void i(T& t){ i(t, P<3>{}); }
void i(vector<bool>::reference t, P<3>){ int a; i(a); t = a; }
template<class T> auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; }
template<class T> auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); }
template<class T, size_t... idx> void ituple(T& t, index_sequence<idx...>){
    in(get<idx>(t)...);}
template<class T> auto i(T& t, P<0>) -> VOID(tuple_size<T>{}){
    ituple(t, make_index_sequence<tuple_size<T>::value>{});}
#undef VOID
}
#define unpack(a) (void)initializer_list<int>{(a, 0)...}
template<class... Ts> void in(Ts&... t){ unpack(IO :: i(t)); }
#undef unpack
static const double PI = 3.1415926535897932;
template <class F> struct REC {
    F f;
    REC(F &&f_) : f(forward<F>(f_)) {}
    template <class... Args> auto operator()(Args &&...args) const { return f(*this, forward<Args>(args)...); }};
//constexpr int mod = 1000000007;
constexpr int mod = 998244353;
#line 2 "library/modint/Modint.hpp"
template <int mod>
struct Modint{
    int x;
    Modint():x(0) {}
    Modint(long long y): x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
    Modint &operator += (const Modint &p) {
        if((x += p.x) >= mod) x -= mod;
        return *this;}
    Modint &operator -= (const Modint &p) {
        if ((x += mod - p.x) >= mod) x -= mod;
        return *this;}
    Modint &operator *= (const Modint &p) {
        x = (int)(1LL * x * p.x % mod);
        return *this;}
    Modint &operator /= (const Modint &p) {
        *this *= p.inverse();
        return *this;}
    Modint operator -() const{return Modint(-x);}
    Modint operator +(const Modint &p) const {return Modint(*this) += p;}
    Modint operator -(const Modint &p) const {return Modint(*this) -= p;}
    Modint operator *(const Modint &p) const {return Modint(*this) *= p;}
    Modint operator /(const Modint &p) const {return Modint(*this) /= p;}
    Modint &operator ++() {if(x == mod - 1) x = 0; else x++; return *this;}
    Modint &operator --() {if(x == 0) x = mod - 1; else x--; return *this;} 
    bool operator == (const Modint &p) const {return x == p.x;}
    bool operator != (const Modint &p) const {return x != p.x;}
    Modint inverse() const {
        int a = x, b = mod, u = 1, v = 0, t;
        while (b > 0) {
            t = a / b;
            swap(a -= t * b, b);
            swap(u -= t * v, v);
        }
        return Modint(u);}
    Modint pow(long long n) const {
        Modint ret(1), mul(x);
        while (n > 0) {
            if (n & 1) ret *= mul;
            mul *= mul;
            n >>= 1;
        }
        return ret;}
    friend ostream &operator<<(ostream &os, const Modint &p) { return os << p.x; }
    friend istream &operator>>(istream &is, Modint &a) {
        long long t;
        is >> t;
        a = Modint<mod>(t);
        return (is);
    }
    static constexpr int get_mod() {return mod;}
};
#line 87 "main.cpp"
using mint = Modint<mod>;
using vm = vector<mint>;
using vvm = vector<vm>;
using vvvm = vector<vvm>;
struct RollbackUnionFind {
  vector<int> data;
  stack<pair<int, int> > history;
  int inner_snap;

  RollbackUnionFind(int sz) : inner_snap(0) { data.assign(sz, -1); }

  bool unite(int x, int y) {
    x = find(x), y = find(y);
    history.emplace(x, data[x]);
    history.emplace(y, data[y]);
    if (x == y) return false;
    if (data[x] > data[y]) swap(x, y);
    data[x] += data[y];
    data[y] = x;
    return true;
  }

  int find(int k) {
    if (data[k] < 0) return k;
    return find(data[k]);
  }

  int same(int x, int y) { return find(x) == find(y); }

  int size(int k) { return (-data[find(k)]); }

  void undo() {
    data[history.top().first] = history.top().second;
    history.pop();
    data[history.top().first] = history.top().second;
    history.pop();
  }

  void snapshot() { inner_snap = int(history.size() >> 1); }

  int get_state() { return int(history.size() >> 1); }

  void rollback(int state = -1) {
    if (state == -1) state = inner_snap;
    state <<= 1;
    assert(state <= (int)history.size());
    while (state < (int)history.size()) undo();
  }
};

/**
 * @brief RollbackつきUnion Find
 * @docs docs/data-structure/rollback-union-find.md
 */
int main() {
    INT(n,q);
    RollbackUnionFind uf(2*n);
    uf.snapshot();
    int free = n;
    int flg = 1;
    rep(i,q) {
        INT(cmd);
        if(cmd == 2) {
            INT(u,v);
            if(u != v) {
                u--,v--;
                if(uf.unite(u,v+n)) free--;
                uf.unite(v,u+n);
                if(uf.same(u,u+n) || uf.same(v,v+n)) flg = 0;
            }
            else flg = 0;
        }
        else if(cmd == 1) {
            INT(u,v);
            u--,v--;
            if(u != v) {
                if(uf.unite(u,v)) free--;
                uf.unite(u+n,v+n);
                if(uf.same(u,u+n) || uf.same(v,v+n)) flg = 0;
            }
        }
        else {
            uf.rollback();
            uf.snapshot();
            free = n;
            flg = 1;
        }
        if(flg) cout << mint(2).pow(free) << '\n';
        else cout << 0 << '\n';
    }
}

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結果

テストケース

ソースコード