oj.uz

Submission #405559

# Submission time Handle Problem Language Result Execution time Memory
405559 2021-05-16T14:29:06 Z Falcon Amusement Park (CEOI19_amusementpark) C++17
63 / 100
 3000 ms 25404 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;

            if(is_independent[sources]) {
                j = lg[sources];
                partial_cost[sources] =
                    partial_cost[sources - (1 << j)] + single_cost[j][mask];
                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;
    }

    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 4 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 3 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 4 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 3 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 3 ms 1484 KB Output is correct
12 Correct 4 ms 1484 KB Output is correct
13 Correct 4 ms 1484 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 4 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 4 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 3 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 3 ms 1484 KB Output is correct
12 Correct 4 ms 1484 KB Output is correct
13 Correct 4 ms 1484 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 4 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 4 ms 1516 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 1504 KB Output is correct
32 Correct 3 ms 1484 KB Output is correct
33 Correct 3 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 1484 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 4 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 3 ms 1612 KB Output is correct
48 Correct 3 ms 1612 KB Output is correct
49 Correct 3 ms 1484 KB Output is correct
50 Correct 3 ms 1612 KB Output is correct
51 Correct 4 ms 1484 KB Output is correct
52 Correct 3 ms 1612 KB Output is correct
53 Correct 3 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 3 ms 1588 KB Output is correct
57 Correct 3 ms 1584 KB Output is correct
58 Correct 3 ms 1612 KB Output is correct
59 Correct 5 ms 1612 KB Output is correct
60 Correct 4 ms 1612 KB Output is correct
61 Correct 5 ms 1588 KB Output is correct
62 Correct 3 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 4 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 3 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 3 ms 1484 KB Output is correct
12 Correct 4 ms 1484 KB Output is correct
13 Correct 4 ms 1484 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 4 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 4 ms 1516 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 1504 KB Output is correct
32 Correct 3 ms 1484 KB Output is correct
33 Correct 3 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 1484 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 4 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 3 ms 1612 KB Output is correct
48 Correct 3 ms 1612 KB Output is correct
49 Correct 3 ms 1484 KB Output is correct
50 Correct 3 ms 1612 KB Output is correct
51 Correct 4 ms 1484 KB Output is correct
52 Correct 3 ms 1612 KB Output is correct
53 Correct 3 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 3 ms 1588 KB Output is correct
57 Correct 3 ms 1584 KB Output is correct
58 Correct 3 ms 1612 KB Output is correct
59 Correct 5 ms 1612 KB Output is correct
60 Correct 4 ms 1612 KB Output is correct
61 Correct 5 ms 1588 KB Output is correct
62 Correct 3 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 24 ms 2744 KB Output is correct
66 Correct 22 ms 2824 KB Output is correct
67 Correct 20 ms 2764 KB Output is correct
68 Correct 20 ms 2804 KB Output is correct
69 Correct 40 ms 2804 KB Output is correct
70 Correct 32 ms 2828 KB Output is correct
71 Correct 30 ms 2764 KB Output is correct
72 Correct 29 ms 2816 KB Output is correct
73 Correct 29 ms 2764 KB Output is correct
74 Correct 27 ms 2824 KB Output is correct
75 Correct 26 ms 2832 KB Output is correct
76 Correct 25 ms 2736 KB Output is correct
77 Correct 63 ms 4168 KB Output is correct
78 Correct 57 ms 4148 KB Output is correct
79 Correct 55 ms 4224 KB Output is correct
80 Correct 51 ms 4144 KB Output is correct
81 Correct 50 ms 4288 KB Output is correct
82 Correct 47 ms 4232 KB Output is correct
83 Correct 48 ms 4228 KB Output is correct
84 Correct 46 ms 4216 KB Output is correct
85 Correct 119 ms 4216 KB Output is correct
86 Correct 89 ms 4212 KB Output is correct
87 Correct 82 ms 4152 KB Output is correct
88 Correct 91 ms 4168 KB Output is correct
89 Correct 77 ms 4152 KB Output is correct
90 Correct 72 ms 4228 KB Output is correct
91 Correct 66 ms 4288 KB Output is correct
92 Correct 66 ms 4216 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 4 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 3 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 3 ms 1484 KB Output is correct
12 Correct 4 ms 1484 KB Output is correct
13 Correct 4 ms 1484 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 4 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 4 ms 1516 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 1504 KB Output is correct
32 Correct 3 ms 1484 KB Output is correct
33 Correct 3 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 1484 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 4 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 3 ms 1612 KB Output is correct
48 Correct 3 ms 1612 KB Output is correct
49 Correct 3 ms 1484 KB Output is correct
50 Correct 3 ms 1612 KB Output is correct
51 Correct 4 ms 1484 KB Output is correct
52 Correct 3 ms 1612 KB Output is correct
53 Correct 3 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 3 ms 1588 KB Output is correct
57 Correct 3 ms 1584 KB Output is correct
58 Correct 3 ms 1612 KB Output is correct
59 Correct 5 ms 1612 KB Output is correct
60 Correct 4 ms 1612 KB Output is correct
61 Correct 5 ms 1588 KB Output is correct
62 Correct 3 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 24 ms 2744 KB Output is correct
66 Correct 22 ms 2824 KB Output is correct
67 Correct 20 ms 2764 KB Output is correct
68 Correct 20 ms 2804 KB Output is correct
69 Correct 40 ms 2804 KB Output is correct
70 Correct 32 ms 2828 KB Output is correct
71 Correct 30 ms 2764 KB Output is correct
72 Correct 29 ms 2816 KB Output is correct
73 Correct 29 ms 2764 KB Output is correct
74 Correct 27 ms 2824 KB Output is correct
75 Correct 26 ms 2832 KB Output is correct
76 Correct 25 ms 2736 KB Output is correct
77 Correct 63 ms 4168 KB Output is correct
78 Correct 57 ms 4148 KB Output is correct
79 Correct 55 ms 4224 KB Output is correct
80 Correct 51 ms 4144 KB Output is correct
81 Correct 50 ms 4288 KB Output is correct
82 Correct 47 ms 4232 KB Output is correct
83 Correct 48 ms 4228 KB Output is correct
84 Correct 46 ms 4216 KB Output is correct
85 Correct 119 ms 4216 KB Output is correct
86 Correct 89 ms 4212 KB Output is correct
87 Correct 82 ms 4152 KB Output is correct
88 Correct 91 ms 4168 KB Output is correct
89 Correct 77 ms 4152 KB Output is correct
90 Correct 72 ms 4228 KB Output is correct
91 Correct 66 ms 4288 KB Output is correct
92 Correct 66 ms 4216 KB Output is correct
93 Correct 2450 ms 25292 KB Output is correct
94 Correct 2417 ms 25288 KB Output is correct
95 Correct 2499 ms 25300 KB Output is correct
96 Correct 2117 ms 25300 KB Output is correct
97 Correct 1840 ms 25292 KB Output is correct
98 Correct 2049 ms 25404 KB Output is correct
99 Correct 178 ms 7052 KB Output is correct
100 Correct 153 ms 7044 KB Output is correct
101 Correct 148 ms 6972 KB Output is correct
102 Correct 135 ms 7048 KB Output is correct
103 Correct 1180 ms 12996 KB Output is correct
104 Correct 752 ms 12960 KB Output is correct
105 Correct 602 ms 12972 KB Output is correct
106 Correct 436 ms 12960 KB Output is correct
107 Execution timed out 3077 ms 25396 KB Time limit exceeded
108 Halted 0 ms 0 KB -