oj.uz

Submission #405533

# Submission time Handle Problem Language Result Execution time Memory
405533 2021-05-16T14:08:16 Z Falcon Amusement Park (CEOI19_amusementpark) C++17
63 / 100
 3000 ms 25296 KB 
#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
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1484 KB Output is correct
2 Correct 3 ms 1484 KB Output is correct
3 Correct 3 ms 1484 KB Output is correct
4 Correct 3 ms 1484 KB Output is correct
5 Correct 3 ms 1484 KB Output is correct
6 Correct 4 ms 1484 KB Output is correct
7 Correct 3 ms 1484 KB Output is correct
8 Correct 3 ms 1484 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1484 KB Output is correct
2 Correct 3 ms 1484 KB Output is correct
3 Correct 3 ms 1484 KB Output is correct
4 Correct 3 ms 1484 KB Output is correct
5 Correct 3 ms 1484 KB Output is correct
6 Correct 4 ms 1484 KB Output is correct
7 Correct 3 ms 1484 KB Output is correct
8 Correct 3 ms 1484 KB Output is correct
9 Correct 3 ms 1484 KB Output is correct
10 Correct 3 ms 1484 KB Output is correct
11 Correct 4 ms 1592 KB Output is correct
12 Correct 3 ms 1484 KB Output is correct
13 Correct 3 ms 1584 KB Output is correct
14 Correct 3 ms 1484 KB Output is correct
15 Correct 3 ms 1484 KB Output is correct
16 Correct 3 ms 1484 KB Output is correct
17 Correct 3 ms 1484 KB Output is correct
18 Correct 3 ms 1484 KB Output is correct
19 Correct 3 ms 1484 KB Output is correct
20 Correct 3 ms 1484 KB Output is correct
21 Correct 3 ms 1484 KB Output is correct
22 Correct 3 ms 1484 KB Output is correct
23 Correct 3 ms 1484 KB Output is correct
24 Correct 3 ms 1484 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1484 KB Output is correct
2 Correct 3 ms 1484 KB Output is correct
3 Correct 3 ms 1484 KB Output is correct
4 Correct 3 ms 1484 KB Output is correct
5 Correct 3 ms 1484 KB Output is correct
6 Correct 4 ms 1484 KB Output is correct
7 Correct 3 ms 1484 KB Output is correct
8 Correct 3 ms 1484 KB Output is correct
9 Correct 3 ms 1484 KB Output is correct
10 Correct 3 ms 1484 KB Output is correct
11 Correct 4 ms 1592 KB Output is correct
12 Correct 3 ms 1484 KB Output is correct
13 Correct 3 ms 1584 KB Output is correct
14 Correct 3 ms 1484 KB Output is correct
15 Correct 3 ms 1484 KB Output is correct
16 Correct 3 ms 1484 KB Output is correct
17 Correct 3 ms 1484 KB Output is correct
18 Correct 3 ms 1484 KB Output is correct
19 Correct 3 ms 1484 KB Output is correct
20 Correct 3 ms 1484 KB Output is correct
21 Correct 3 ms 1484 KB Output is correct
22 Correct 3 ms 1484 KB Output is correct
23 Correct 3 ms 1484 KB Output is correct
24 Correct 3 ms 1484 KB Output is correct
25 Correct 3 ms 1484 KB Output is correct
26 Correct 3 ms 1484 KB Output is correct
27 Correct 3 ms 1484 KB Output is correct
28 Correct 3 ms 1484 KB Output is correct
29 Correct 3 ms 1484 KB Output is correct
30 Correct 3 ms 1484 KB Output is correct
31 Correct 3 ms 1484 KB Output is correct
32 Correct 3 ms 1484 KB Output is correct
33 Correct 4 ms 1484 KB Output is correct
34 Correct 3 ms 1484 KB Output is correct
35 Correct 3 ms 1484 KB Output is correct
36 Correct 3 ms 1484 KB Output is correct
37 Correct 3 ms 1484 KB Output is correct
38 Correct 3 ms 1484 KB Output is correct
39 Correct 3 ms 1612 KB Output is correct
40 Correct 3 ms 1612 KB Output is correct
41 Correct 3 ms 1612 KB Output is correct
42 Correct 3 ms 1612 KB Output is correct
43 Correct 3 ms 1612 KB Output is correct
44 Correct 3 ms 1612 KB Output is correct
45 Correct 3 ms 1612 KB Output is correct
46 Correct 3 ms 1612 KB Output is correct
47 Correct 4 ms 1612 KB Output is correct
48 Correct 4 ms 1612 KB Output is correct
49 Correct 3 ms 1612 KB Output is correct
50 Correct 3 ms 1612 KB Output is correct
51 Correct 3 ms 1484 KB Output is correct
52 Correct 4 ms 1612 KB Output is correct
53 Correct 4 ms 1612 KB Output is correct
54 Correct 4 ms 1612 KB Output is correct
55 Correct 3 ms 1612 KB Output is correct
56 Correct 4 ms 1612 KB Output is correct
57 Correct 3 ms 1612 KB Output is correct
58 Correct 3 ms 1612 KB Output is correct
59 Correct 3 ms 1612 KB Output is correct
60 Correct 4 ms 1612 KB Output is correct
61 Correct 3 ms 1612 KB Output is correct
62 Correct 4 ms 1612 KB Output is correct
63 Correct 3 ms 1612 KB Output is correct
64 Correct 3 ms 1612 KB Output is correct

Subtask #4
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1484 KB Output is correct
2 Correct 3 ms 1484 KB Output is correct
3 Correct 3 ms 1484 KB Output is correct
4 Correct 3 ms 1484 KB Output is correct
5 Correct 3 ms 1484 KB Output is correct
6 Correct 4 ms 1484 KB Output is correct
7 Correct 3 ms 1484 KB Output is correct
8 Correct 3 ms 1484 KB Output is correct
9 Correct 3 ms 1484 KB Output is correct
10 Correct 3 ms 1484 KB Output is correct
11 Correct 4 ms 1592 KB Output is correct
12 Correct 3 ms 1484 KB Output is correct
13 Correct 3 ms 1584 KB Output is correct
14 Correct 3 ms 1484 KB Output is correct
15 Correct 3 ms 1484 KB Output is correct
16 Correct 3 ms 1484 KB Output is correct
17 Correct 3 ms 1484 KB Output is correct
18 Correct 3 ms 1484 KB Output is correct
19 Correct 3 ms 1484 KB Output is correct
20 Correct 3 ms 1484 KB Output is correct
21 Correct 3 ms 1484 KB Output is correct
22 Correct 3 ms 1484 KB Output is correct
23 Correct 3 ms 1484 KB Output is correct
24 Correct 3 ms 1484 KB Output is correct
25 Correct 3 ms 1484 KB Output is correct
26 Correct 3 ms 1484 KB Output is correct
27 Correct 3 ms 1484 KB Output is correct
28 Correct 3 ms 1484 KB Output is correct
29 Correct 3 ms 1484 KB Output is correct
30 Correct 3 ms 1484 KB Output is correct
31 Correct 3 ms 1484 KB Output is correct
32 Correct 3 ms 1484 KB Output is correct
33 Correct 4 ms 1484 KB Output is correct
34 Correct 3 ms 1484 KB Output is correct
35 Correct 3 ms 1484 KB Output is correct
36 Correct 3 ms 1484 KB Output is correct
37 Correct 3 ms 1484 KB Output is correct
38 Correct 3 ms 1484 KB Output is correct
39 Correct 3 ms 1612 KB Output is correct
40 Correct 3 ms 1612 KB Output is correct
41 Correct 3 ms 1612 KB Output is correct
42 Correct 3 ms 1612 KB Output is correct
43 Correct 3 ms 1612 KB Output is correct
44 Correct 3 ms 1612 KB Output is correct
45 Correct 3 ms 1612 KB Output is correct
46 Correct 3 ms 1612 KB Output is correct
47 Correct 4 ms 1612 KB Output is correct
48 Correct 4 ms 1612 KB Output is correct
49 Correct 3 ms 1612 KB Output is correct
50 Correct 3 ms 1612 KB Output is correct
51 Correct 3 ms 1484 KB Output is correct
52 Correct 4 ms 1612 KB Output is correct
53 Correct 4 ms 1612 KB Output is correct
54 Correct 4 ms 1612 KB Output is correct
55 Correct 3 ms 1612 KB Output is correct
56 Correct 4 ms 1612 KB Output is correct
57 Correct 3 ms 1612 KB Output is correct
58 Correct 3 ms 1612 KB Output is correct
59 Correct 3 ms 1612 KB Output is correct
60 Correct 4 ms 1612 KB Output is correct
61 Correct 3 ms 1612 KB Output is correct
62 Correct 4 ms 1612 KB Output is correct
63 Correct 3 ms 1612 KB Output is correct
64 Correct 3 ms 1612 KB Output is correct
65 Correct 39 ms 2764 KB Output is correct
66 Correct 37 ms 2764 KB Output is correct
67 Correct 35 ms 2744 KB Output is correct
68 Correct 34 ms 2812 KB Output is correct
69 Correct 47 ms 2764 KB Output is correct
70 Correct 42 ms 2744 KB Output is correct
71 Correct 41 ms 2812 KB Output is correct
72 Correct 42 ms 2764 KB Output is correct
73 Correct 39 ms 2764 KB Output is correct
74 Correct 41 ms 2816 KB Output is correct
75 Correct 38 ms 2764 KB Output is correct
76 Correct 38 ms 2808 KB Output is correct
77 Correct 99 ms 4228 KB Output is correct
78 Correct 95 ms 4220 KB Output is correct
79 Correct 113 ms 4168 KB Output is correct
80 Correct 111 ms 4212 KB Output is correct
81 Correct 91 ms 4168 KB Output is correct
82 Correct 93 ms 4220 KB Output is correct
83 Correct 95 ms 4168 KB Output is correct
84 Correct 100 ms 4216 KB Output is correct
85 Correct 138 ms 4148 KB Output is correct
86 Correct 119 ms 4212 KB Output is correct
87 Correct 115 ms 4168 KB Output is correct
88 Correct 117 ms 4168 KB Output is correct
89 Correct 108 ms 4220 KB Output is correct
90 Correct 107 ms 4216 KB Output is correct
91 Correct 108 ms 4332 KB Output is correct
92 Correct 107 ms 4168 KB Output is correct

Subtask #5
0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1484 KB Output is correct
2 Correct 3 ms 1484 KB Output is correct
3 Correct 3 ms 1484 KB Output is correct
4 Correct 3 ms 1484 KB Output is correct
5 Correct 3 ms 1484 KB Output is correct
6 Correct 4 ms 1484 KB Output is correct
7 Correct 3 ms 1484 KB Output is correct
8 Correct 3 ms 1484 KB Output is correct
9 Correct 3 ms 1484 KB Output is correct
10 Correct 3 ms 1484 KB Output is correct
11 Correct 4 ms 1592 KB Output is correct
12 Correct 3 ms 1484 KB Output is correct
13 Correct 3 ms 1584 KB Output is correct
14 Correct 3 ms 1484 KB Output is correct
15 Correct 3 ms 1484 KB Output is correct
16 Correct 3 ms 1484 KB Output is correct
17 Correct 3 ms 1484 KB Output is correct
18 Correct 3 ms 1484 KB Output is correct
19 Correct 3 ms 1484 KB Output is correct
20 Correct 3 ms 1484 KB Output is correct
21 Correct 3 ms 1484 KB Output is correct
22 Correct 3 ms 1484 KB Output is correct
23 Correct 3 ms 1484 KB Output is correct
24 Correct 3 ms 1484 KB Output is correct
25 Correct 3 ms 1484 KB Output is correct
26 Correct 3 ms 1484 KB Output is correct
27 Correct 3 ms 1484 KB Output is correct
28 Correct 3 ms 1484 KB Output is correct
29 Correct 3 ms 1484 KB Output is correct
30 Correct 3 ms 1484 KB Output is correct
31 Correct 3 ms 1484 KB Output is correct
32 Correct 3 ms 1484 KB Output is correct
33 Correct 4 ms 1484 KB Output is correct
34 Correct 3 ms 1484 KB Output is correct
35 Correct 3 ms 1484 KB Output is correct
36 Correct 3 ms 1484 KB Output is correct
37 Correct 3 ms 1484 KB Output is correct
38 Correct 3 ms 1484 KB Output is correct
39 Correct 3 ms 1612 KB Output is correct
40 Correct 3 ms 1612 KB Output is correct
41 Correct 3 ms 1612 KB Output is correct
42 Correct 3 ms 1612 KB Output is correct
43 Correct 3 ms 1612 KB Output is correct
44 Correct 3 ms 1612 KB Output is correct
45 Correct 3 ms 1612 KB Output is correct
46 Correct 3 ms 1612 KB Output is correct
47 Correct 4 ms 1612 KB Output is correct
48 Correct 4 ms 1612 KB Output is correct
49 Correct 3 ms 1612 KB Output is correct
50 Correct 3 ms 1612 KB Output is correct
51 Correct 3 ms 1484 KB Output is correct
52 Correct 4 ms 1612 KB Output is correct
53 Correct 4 ms 1612 KB Output is correct
54 Correct 4 ms 1612 KB Output is correct
55 Correct 3 ms 1612 KB Output is correct
56 Correct 4 ms 1612 KB Output is correct
57 Correct 3 ms 1612 KB Output is correct
58 Correct 3 ms 1612 KB Output is correct
59 Correct 3 ms 1612 KB Output is correct
60 Correct 4 ms 1612 KB Output is correct
61 Correct 3 ms 1612 KB Output is correct
62 Correct 4 ms 1612 KB Output is correct
63 Correct 3 ms 1612 KB Output is correct
64 Correct 3 ms 1612 KB Output is correct
65 Correct 39 ms 2764 KB Output is correct
66 Correct 37 ms 2764 KB Output is correct
67 Correct 35 ms 2744 KB Output is correct
68 Correct 34 ms 2812 KB Output is correct
69 Correct 47 ms 2764 KB Output is correct
70 Correct 42 ms 2744 KB Output is correct
71 Correct 41 ms 2812 KB Output is correct
72 Correct 42 ms 2764 KB Output is correct
73 Correct 39 ms 2764 KB Output is correct
74 Correct 41 ms 2816 KB Output is correct
75 Correct 38 ms 2764 KB Output is correct
76 Correct 38 ms 2808 KB Output is correct
77 Correct 99 ms 4228 KB Output is correct
78 Correct 95 ms 4220 KB Output is correct
79 Correct 113 ms 4168 KB Output is correct
80 Correct 111 ms 4212 KB Output is correct
81 Correct 91 ms 4168 KB Output is correct
82 Correct 93 ms 4220 KB Output is correct
83 Correct 95 ms 4168 KB Output is correct
84 Correct 100 ms 4216 KB Output is correct
85 Correct 138 ms 4148 KB Output is correct
86 Correct 119 ms 4212 KB Output is correct
87 Correct 115 ms 4168 KB Output is correct
88 Correct 117 ms 4168 KB Output is correct
89 Correct 108 ms 4220 KB Output is correct
90 Correct 107 ms 4216 KB Output is correct
91 Correct 108 ms 4332 KB Output is correct
92 Correct 107 ms 4168 KB Output is correct
93 Execution timed out 3055 ms 25296 KB Time limit exceeded
94 Halted 0 ms 0 KB -