Submission #1279877

#TimeUsernameProblemLanguageResultExecution timeMemory
1279877MisterReaperAmusement Park (CEOI19_amusementpark)C++20
100 / 100
1233 ms3524 KiB
// File amusementpark.cpp created on 16.10.2025 at 08:43:05
#include <bits/stdc++.h>

using i64 = long long;

#ifdef DEBUG 
    #include "/home/ahmetalp/Desktop/Workplace/debug.h"
#else
    #define debug(...) void(23)
#endif

template<typename T>
T power(T a, i64 b) {
    T res {1};
    while (b) {
        if (b & 1) {
            res *= a;
        }
        a *= a;
        b >>= 1;
    }
    return res;
}

constexpr int md = 998244353;
struct MInt {
    int val;
    MInt() : val(0) {}
    template<typename T>
    MInt(T x) {
        if (-md <= x && x < md) {
            val = x;
        } else {
            val = x % md;
        }
        if (val < 0) {
            val += md;
        }
    }
    int operator()() { return val; }
    MInt& operator+= (MInt rhs) {
        if ((val += rhs.val) >= md) {
            val -= md;
        }
        return *this;
    }
    MInt& operator-= (MInt rhs) {
        if ((val -= rhs.val) < 0) {
            val += md;
        }
        return *this;
    }
    MInt& operator*= (MInt rhs) {
        val = int(1LL * val * rhs.val % md);
        return *this;
    }
    MInt inv() {
        return power(*this, md - 2);
    }
    MInt& operator/= (MInt rhs) {
        return *this *= rhs.inv();
    }
    bool operator== (MInt rhs) {
        return val == rhs.val;
    }
    bool operator!= (MInt rhs) {
        return val != rhs.val;
    }
};
MInt operator+ (MInt lhs, MInt rhs) {
    return lhs += rhs;
}
MInt operator- (MInt lhs, MInt rhs) {
    return lhs -= rhs;
}
MInt operator* (MInt lhs, MInt rhs) {
    return lhs *= rhs;
}
MInt operator/ (MInt lhs, MInt rhs) {
    return lhs /= rhs;
}
std::ostream& operator<< (std::ostream& os, MInt x) {
    return os << x.val;
}

using Z = MInt;

constexpr int max_N = 18;

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);

    int N, M;
    std::cin >> N >> M;

    std::vector<int> adj(N);
    for (int i = 0; i < M; ++i) {
        int U, V;
        std::cin >> U >> V;
        --U, --V;
        adj[U] |= 1 << V;
        adj[V] |= 1 << U;
    }

    std::vector<int> good(1 << N, true);
    for (int m = 0; m < (1 << N); ++m) {
        for (int i = 0; i < N; ++i) {
            for (int j = i + 1; j < N; ++j) {
                if (m >> i & 1 && m >> j & 1 && adj[i] >> j & 1) {
                    good[m] = false;
                }
            }
        }
    }

    debug(good);

    std::vector<int> pcnt(1 << N);
    pcnt[0] = -1;
    for (int i = 1; i < (1 << N); ++i) {
        pcnt[i] = pcnt[i - (i & -i)] * -1;
    }

    std::vector<Z> f(1 << N);
    f[0] = 1;
    for (int m = 1; m < (1 << N); ++m) {
        for (int x = m; x; x = (x - 1) & m) {
            if (good[x]) {
                f[m] += pcnt[x] * f[m ^ x];
            }
        }
    }

    Z ans = f[(1 << N) - 1];

    std::cout << ans * M / 2 << '\n';

    return 0;
}
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...