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Submission #781128

# Submission time Handle Problem Language Result Execution time Memory
781128 2023-07-12T18:29:05 Z definitelynotmee Amusement Park (CEOI19_amusementpark) C++17
63 / 100
 3000 ms 6484 KB 
#include<bits/stdc++.h>
#define ff first
#define ss second
#define all(x) x.begin(), x.end()
using namespace std;
using ll = long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
template<typename T>
using matrix = vector<vector<T>>;
const ll MOD = 998244353;


int main(){
    cin.tie(0)->sync_with_stdio(0);

    int n, m;
    cin >> n >> m;

    vector<int> adj(n);

    for(int i = 0; i < m; i++){
        int a, b;
        cin >> a >> b;
        a--, b--;
        adj[a]+=1<<b;
    }

    vector<ll> incomp(1<<n);

    for(int i = 0; i < (1<<n); i++){
        int ok = 0;
        for(int j = 0; j < n; j++){
            if((1<<j)&i){
                ok|=adj[j];
            }
        }
        
        incomp[i] = !bool(ok&i);
        // cerr << bitset<4>(ok) << ' ' << bitset<4>(i) << "->" << incomp[i] << '\n';
    }

    vector<ll> sum(1<<n), dp(1<<n);

    dp[0] = 1;

    array<ll,2> parity = {MOD-1,1};
    vector<int> cur;

    auto calc =[&](int i, int taken, int cursum, int sub, int mask, auto calc){
        if(i == cur.size()){
            if(!taken)
                return;
            const int comp = mask^sub;
            dp[mask]+=parity[taken&1]*dp[comp];
            sum[mask]+=parity[taken&1]*(cursum*dp[comp]%MOD+sum[comp]);
            dp[mask]%=MOD;
            sum[mask]%=MOD;
            // cerr << i << ' ' << taken << ' ' << cursum << ' ' << bitset<4>(sub) << ' ' << bitset<4>(mask) << '\n';
            // cerr << "=> " << parity[taken&1]*dp[comp] << ' ' << parity[taken&1]*(cursum*dp[comp]%MOD+sum[comp]) << '\n';
            return;
        }
        const int id = cur[i];
        if(incomp[sub|(1<<id)]){
            calc(i+1,taken+1,cursum+__builtin_popcount(adj[id]&mask),sub|(1<<id),mask,calc);
        }
        calc(i+1,taken,cursum,sub,mask,calc);
    };

    for(int mask = 1; mask < (1<<n); mask++){
        cur.clear();
        for(int j = 0 ; j < n; j++){
            if(mask&(1<<j))
                cur.push_back(j);
        }
        calc(0,0,0,0,mask,calc);
        // cerr << "dp[" << bitset<4>(mask) << "] = " << dp[mask] << '\n';
        // cerr << "sum[" << bitset<4>(mask) << "] = " << sum[mask] << '\n';
    }

    cout << sum[(1<<n)-1] << '\n';

}

Compilation message

amusementpark.cpp: In instantiation of 'main()::<lambda(int, int, int, int, int, auto:23)> [with auto:23 = main()::<lambda(int, int, int, int, int, auto:23)>]':
amusementpark.cpp:76:31:   required from here
amusementpark.cpp:51:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   51 |         if(i == cur.size()){
      |            ~~^~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 320 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 320 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 324 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 316 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 316 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 320 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 324 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 316 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 316 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 320 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 324 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 316 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 316 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 324 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 1 ms 324 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 1 ms 340 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 1 ms 316 KB Output is correct
57 Correct 1 ms 344 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 1 ms 340 KB Output is correct
64 Correct 1 ms 340 KB Output is correct

Subtask #4
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 320 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 324 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 316 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 316 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 320 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 324 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 316 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 316 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 324 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 1 ms 324 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 1 ms 340 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 1 ms 316 KB Output is correct
57 Correct 1 ms 344 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 1 ms 340 KB Output is correct
64 Correct 1 ms 340 KB Output is correct
65 Correct 13 ms 724 KB Output is correct
66 Correct 11 ms 596 KB Output is correct
67 Correct 9 ms 700 KB Output is correct
68 Correct 8 ms 724 KB Output is correct
69 Correct 52 ms 724 KB Output is correct
70 Correct 31 ms 708 KB Output is correct
71 Correct 33 ms 724 KB Output is correct
72 Correct 34 ms 724 KB Output is correct
73 Correct 23 ms 724 KB Output is correct
74 Correct 23 ms 596 KB Output is correct
75 Correct 24 ms 596 KB Output is correct
76 Correct 25 ms 724 KB Output is correct
77 Correct 41 ms 1096 KB Output is correct
78 Correct 33 ms 1108 KB Output is correct
79 Correct 28 ms 1108 KB Output is correct
80 Correct 24 ms 980 KB Output is correct
81 Correct 21 ms 1088 KB Output is correct
82 Correct 19 ms 1108 KB Output is correct
83 Correct 18 ms 1112 KB Output is correct
84 Correct 16 ms 1108 KB Output is correct
85 Correct 141 ms 1108 KB Output is correct
86 Correct 96 ms 980 KB Output is correct
87 Correct 97 ms 980 KB Output is correct
88 Correct 103 ms 1084 KB Output is correct
89 Correct 70 ms 1096 KB Output is correct
90 Correct 72 ms 1108 KB Output is correct
91 Correct 70 ms 1088 KB Output is correct
92 Correct 71 ms 1108 KB Output is correct

Subtask #5
0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 320 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 324 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 316 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 316 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 320 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 324 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 316 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 316 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 324 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 1 ms 324 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 1 ms 340 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 1 ms 316 KB Output is correct
57 Correct 1 ms 344 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 1 ms 340 KB Output is correct
64 Correct 1 ms 340 KB Output is correct
65 Correct 13 ms 724 KB Output is correct
66 Correct 11 ms 596 KB Output is correct
67 Correct 9 ms 700 KB Output is correct
68 Correct 8 ms 724 KB Output is correct
69 Correct 52 ms 724 KB Output is correct
70 Correct 31 ms 708 KB Output is correct
71 Correct 33 ms 724 KB Output is correct
72 Correct 34 ms 724 KB Output is correct
73 Correct 23 ms 724 KB Output is correct
74 Correct 23 ms 596 KB Output is correct
75 Correct 24 ms 596 KB Output is correct
76 Correct 25 ms 724 KB Output is correct
77 Correct 41 ms 1096 KB Output is correct
78 Correct 33 ms 1108 KB Output is correct
79 Correct 28 ms 1108 KB Output is correct
80 Correct 24 ms 980 KB Output is correct
81 Correct 21 ms 1088 KB Output is correct
82 Correct 19 ms 1108 KB Output is correct
83 Correct 18 ms 1112 KB Output is correct
84 Correct 16 ms 1108 KB Output is correct
85 Correct 141 ms 1108 KB Output is correct
86 Correct 96 ms 980 KB Output is correct
87 Correct 97 ms 980 KB Output is correct
88 Correct 103 ms 1084 KB Output is correct
89 Correct 70 ms 1096 KB Output is correct
90 Correct 72 ms 1108 KB Output is correct
91 Correct 70 ms 1088 KB Output is correct
92 Correct 71 ms 1108 KB Output is correct
93 Execution timed out 3069 ms 6484 KB Time limit exceeded
94 Halted 0 ms 0 KB -