penguin8331's Library

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:heavy_check_mark: test/yosupo/two-sat.test.cpp

Depends on

Code

#define PROBLEM "https://judge.yosupo.jp/problem/two_sat"
#include "../../graph/two-sat.hpp"

#include "../../template/template.hpp"

int main() {
    string p, cnf;
    int N, M;
    cin >> p >> cnf >> N >> M;
    TwoSat ts(N);
    for (int i = 0; i < M; i++) {
        int a, b;
        cin >> a >> b;
        string zero;
        cin >> zero;
        ts.add(abs(a) - 1, a > 0, abs(b) - 1, b > 0);
    }
    auto ans = ts.solve();
    if ((int)ans.size() == N) {
        cout << "s SATISFIABLE" << endl;
        cout << "v ";
        for (int i = 0; i < N; i++) {
            cout << (ans[i] ? i + 1 : -i - 1) << " ";
        }
        cout << 0 << endl;
    } else {
        cout << "s UNSATISFIABLE" << endl;
    }
}
#line 1 "test/yosupo/two-sat.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/two_sat"
#line 2 "template/template.hpp"
#include <bits/stdc++.h>
#line 3 "template/macro.hpp"

#define overload3(_1, _2, _3, name, ...) name
#define all1(v) std::begin(v), std::end(v)
#define all2(v, a) std::begin(v), std::begin(v) + a
#define all3(v, a, b) std::begin(v) + a, std::begin(v) + b
#define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__)
#define rall1(v) std::rbegin(v), std::rend(v)
#define rall2(v, a) std::rbegin(v), std::rbegin(v) + a
#define rall3(v, a, b) std::rbegin(v) + a, std::rbegin(v) + b
#define rall(...) overload3(__VA_ARGS__, rall3, rall2, rall1)(__VA_ARGS__)
#define elif else if
#define updiv(N, X) (((N) + (X) - 1) / (X))
#define sigma(a, b) (((a) + (b)) * ((b) - (a) + 1) / 2)
#define INT(...)     \
    int __VA_ARGS__; \
    scan(__VA_ARGS__)
#define LL(...)     \
    ll __VA_ARGS__; \
    scan(__VA_ARGS__)
#define STR(...)        \
    string __VA_ARGS__; \
    scan(__VA_ARGS__)
#define CHR(...)      \
    char __VA_ARGS__; \
    scan(__VA_ARGS__)
#define DOU(...)        \
    double __VA_ARGS__; \
    scan(__VA_ARGS__)
#define LD(...)     \
    ld __VA_ARGS__; \
    scan(__VA_ARGS__)
#define pb push_back
#define eb emplace_back
#line 3 "template/alias.hpp"

using ll = long long;
using ld = long double;
using pii = std::pair<int, int>;
using pll = std::pair<ll, ll>;
constexpr int inf = 1 << 30;
constexpr ll INF = 1LL << 60;
constexpr int dx[8] = {1, 0, -1, 0, 1, -1, 1, -1};
constexpr int dy[8] = {0, 1, 0, -1, 1, 1, -1, -1};
constexpr int mod = 998244353;
constexpr int MOD = 1e9 + 7;
#line 3 "template/func.hpp"

template <typename T>
inline bool chmax(T& a, T b) { return ((a < b) ? (a = b, true) : (false)); }
template <typename T>
inline bool chmin(T& a, T b) { return ((a > b) ? (a = b, true) : (false)); }
template <typename T, typename U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &p) {
    os << p.first << " " << p.second;
    return os;
}
template <typename T, typename U>
std::istream &operator>>(std::istream &is, std::pair<T, U> &p) {
    is >> p.first >> p.second;
    return is;
}
template <typename T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &v) {
    for (auto it = std::begin(v); it != std::end(v);) {
        os << *it << ((++it) != std::end(v) ? " " : "");
    }
    return os;
}
template <typename T>
std::istream &operator>>(std::istream &is, std::vector<T> &v) {
    for (T &in : v) {
        is >> in;
    }
    return is;
}
inline void scan() {}
template <class Head, class... Tail>
inline void scan(Head &head, Tail &...tail) {
    std::cin >> head;
    scan(tail...);
}
template <class T>
inline void print(const T &t) { std::cout << t << '\n'; }
template <class Head, class... Tail>
inline void print(const Head &head, const Tail &...tail) {
    std::cout << head << ' ';
    print(tail...);
}
template <class... T>
inline void fin(const T &...a) {
    print(a...);
    exit(0);
}
#line 3 "template/util.hpp"

struct IOSetup {
    IOSetup() {
        std::cin.tie(nullptr);
        std::ios::sync_with_stdio(false);
        std::cout.tie(0);
        std::cout << std::fixed << std::setprecision(12);
        std::cerr << std::fixed << std::setprecision(12);
    }
} IOSetup;
#line 3 "template/debug.hpp"

#ifdef LOCAL
#include <dump.hpp>
#else
#define debug(...)
#endif
#line 8 "template/template.hpp"
using namespace std;
#line 3 "graph/scc.hpp"

struct SCC {
    using Edge = int;
    using SGraph = vector<vector<Edge>>;

    SGraph G, rG;

    vector<vector<int>> scc;
    vector<int> cmp;
    SGraph dag;

    explicit SCC(int N) : G(N), rG(N) {}

    void addedge(int u, int v) {
        G[u].push_back(v);
        rG[v].push_back(u);
    }

    vector<bool> seen;
    vector<int> vs, rvs;
    void dfs(int v) {
        seen[v] = true;
        for (auto e : G[v])
            if (!seen[e]) dfs(e);
        vs.push_back(v);
    }
    void rdfs(int v, int k) {
        seen[v] = true;
        cmp[v] = k;
        for (auto e : rG[v])
            if (!seen[e]) rdfs(e, k);
        rvs.push_back(v);
    }

    set<pair<int, int>> newEdges;
    void reconstruct() {
        int N = (int)G.size();
        int dV = (int)scc.size();
        dag.assign(dV, vector<Edge>());
        newEdges.clear();
        for (int i = 0; i < N; ++i) {
            int u = cmp[i];
            for (auto e : G[i]) {
                int v = cmp[e];
                if (u == v) continue;
                if (!newEdges.count({u, v})) {
                    dag[u].push_back(v);
                    newEdges.insert({u, v});
                }
            }
        }
    }

    void solve() {
        int N = (int)G.size();
        seen.assign(N, false);
        vs.clear();
        for (int v = 0; v < N; ++v)
            if (!seen[v]) dfs(v);

        int k = 0;
        scc.clear();
        cmp.assign(N, -1);
        seen.assign(N, false);
        for (int i = N - 1; i >= 0; --i) {
            if (!seen[vs[i]]) {
                rvs.clear();
                rdfs(vs[i], k++);
                scc.push_back(rvs);
            }
        }

        reconstruct();
    }
};
#line 4 "graph/two-sat.hpp"

struct TwoSat {
    int N;
    SCC scc;
    TwoSat(int n) : N(n), scc(2 * N) {}

    void add(int i, bool f, int j, bool g) {
        scc.addedge(i + (f ? N : 0), j + (g ? 0 : N));
        scc.addedge(j + (g ? N : 0), i + (f ? 0 : N));
    }
    void add_eq(int i, int j) {
        add(i, true, j, false);
        add(i, false, j, true);
    }
    void add_neq(int i, int j) {
        add(i, true, j, true);
        add(i, false, j, false);
    }
    void add_true(int i) {
        scc.addedge(i + N, i);
    }
    void add_false(int i) {
        scc.addedge(i, i + N);
    }
    vector<bool> solve() {
        scc.solve();
        vector<bool> ans(N);
        for (int i = 0; i < N; i++) {
            if (scc.cmp[i] == scc.cmp[i + N]) {
                return vector<bool>();
            }
            if (scc.cmp[i] > scc.cmp[i + N]) {
                ans[i] = true;
            } else {
                ans[i] = false;
            }
        }
        return ans;
    }
};
#line 3 "test/yosupo/two-sat.test.cpp"

#line 5 "test/yosupo/two-sat.test.cpp"

int main() {
    string p, cnf;
    int N, M;
    cin >> p >> cnf >> N >> M;
    TwoSat ts(N);
    for (int i = 0; i < M; i++) {
        int a, b;
        cin >> a >> b;
        string zero;
        cin >> zero;
        ts.add(abs(a) - 1, a > 0, abs(b) - 1, b > 0);
    }
    auto ans = ts.solve();
    if ((int)ans.size() == N) {
        cout << "s SATISFIABLE" << endl;
        cout << "v ";
        for (int i = 0; i < N; i++) {
            cout << (ans[i] ? i + 1 : -i - 1) << " ";
        }
        cout << 0 << endl;
    } else {
        cout << "s UNSATISFIABLE" << endl;
    }
}
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