Submission #405533

#	Time	Username	Problem	Language	Result	Execution time	Memory
405533		Falcon	Amusement Park (CEOI19_amusementpark)	C++17	63 / 100	3055 ms	25296 KiB

amusementpark

#include <vector>
#include <array>
#include <iostream>

#ifdef DEBUG
#include "debug.hpp"
#endif

using namespace std;

#define all(c)              (c).begin(), (c).end()
#define rall(c)             (c).rbegin(), (c).rend()
#define traverse(c, it)     for(auto it = (c).begin(); it != (c).end(); ++it)
#define rep(i, N)           for(int i = 0; i < (N); ++i)
#define rrep(i, N)          for(int i = (N) - 1; i >= 0; --i)
#define rep1(i, N)          for(int i = 1; i <= (N); ++i)
#define rep2(i, s, e)       for(int i = (s); i <= (e); ++i)

#ifdef DEBUG
#define debug(x...)         { \
                            ++dbg::depth; \
                            string dbg_vals = dbg::to_string(x); \
                            --dbg::depth; \
                            dbg::fprint(__func__, __LINE__, #x, dbg_vals); \
                            }

#define light_debug(x)      { \
                            dbg::light = true; \
                            dbg::dout << __func__ << ":" << __LINE__; \
                            dbg::dout << "  " << #x << " = " << x << endl; \
                            dbg::light = false; \
                            }

#else
#define debug(x...)         42
#define light_debug(x)      42
#endif


using ll = long long;

template<typename T>
inline T& ckmin(T& a, T b) { return a = a > b ? b : a; }

template<typename T>
inline T& ckmax(T& a, T b) { return a = a < b ? b : a; }


constexpr int mod{998244353};

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    array<bool, 1 << 18> parity;
    rep(i, 1 << 18) parity[i] = __builtin_popcount(i) % 2 == 0;

    array<int, 1 << 18> lg;
    rep(i, 1 << 18) lg[i] = __lg(i);

    int n, m; cin >> n >> m;
    vector<vector<bool>> adj(n, vector<bool>(n));
    rep(i, m) {
        int u, v; cin >> u >> v; --u, --v;
        adj[u][v] = true;
    }

    vector<bool> is_independent(1 << n);
    rep(mask, 1 << n) {
        is_independent[mask] = true;        
        rep(i, n) if(mask & (1 << i))
            rep(j, n)
                if(adj[i][j] && (mask & (1 << j)))
                    is_independent[mask] = false;
    }
    
    vector<vector<int>> single_cost(n, vector<int>(1 << n));
    rep(i, n)
        rep1(mask, (1 << n) - 1) {
             single_cost[i][mask] = single_cost[i][mask - (1 << lg[mask])]
                 + adj[lg[mask]][i];  
        }
            

    vector<long long> dp_s(1 << n), dp_c(1 << n); dp_c[0] = 1;
    vector<int> partial_cost(1 << n);

    int j, sources;
    long long t_s, t_c;
    rep1(mask, (1 << n) - 1) {
        for(sources = mask & (mask - 1); ; sources = (sources - 1) & mask) {
            sources = mask - sources;
            j = lg[sources];
            partial_cost[sources] =
                partial_cost[sources - (1 << j)] + single_cost[j][mask];

            if(is_independent[sources]) {
                t_s = dp_s[mask ^ sources] + 
                    dp_c[mask ^ sources] * partial_cost[sources] % mod;
                dp_s[mask] += parity[sources] ? -t_s : t_s;

                t_c = dp_c[mask ^ sources];
                dp_c[mask] += parity[sources] ? -t_c : t_c;
            }

            sources = mask - sources;
            if(sources == 0) break;
        }

        ((dp_c[mask] %= mod) += mod) %= mod;
        ((dp_s[mask] %= mod) += mod) %= mod;
        for(sources = mask; sources > 0; sources = (sources - 1) & mask)
            partial_cost[sources] = 0;

    }

    cout << dp_s.back() << '\n';
    
    
    #ifdef DEBUG
    dbg::dout << "\nExecution time: "
              << clock() * 1000 / CLOCKS_PER_SEC 
              << "ms" << endl;
    #endif
    return 0;
}

• Subtask 1: 7 / 7
• Subtask 2: 12 / 12
• Subtask 3: 23 / 23
• Subtask 4: 21 / 21
• Subtask 5: 0 / 37