oj.uz

Submission #781144

# Submission time Handle Problem Language Result Execution time Memory
781144 2023-07-12T19:24:57 Z definitelynotmee Amusement Park (CEOI19_amusementpark) C++17
63 / 100
 3000 ms 18920 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;

struct gc{
    ll mask, id, sign;
};

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};
    
    matrix<gc> gray(n);
    gray[0] = {{0,0,0},{1,0,1}};
    for(int i = 1; i < n; i++){
        gray[i] = gray[i-1];
        gray[i].push_back({gray[i].back().mask|(1<<i),i,1});
        for(int j = gray[i-1].size()-1; j > 0; j--){
            gc cur = gray[i-1][j];
            cur.sign*=-1;
            cur.mask=gray[i].back().mask+(1<<cur.id)*cur.sign;
            gray[i].push_back(cur);

        }
    }

    // for(auto i : gray.back())
    //     cout << bitset<4>(i.mask) << ' ' << i.id << ' ' << i.sign << '\n';

    for(auto & i : gray){
        i.erase(i.begin());
    }


    for(int mask = 1; mask < (1<<n); mask++){
        vector<int> cur;
        for(int j = 0 ; j < n; j++){
            if(mask&(1<<j))
                cur.push_back(j);
        }
        int p = 0, cursum = 0, sub = 0;
        for(gc i : gray[__builtin_popcount(mask)-1]){
            const int id = cur[i.id];
            
            sub+=(1<<id)*i.sign;
            cursum+=__builtin_popcount(adj[id]&mask)*i.sign;
            p^=1;
            // cerr << bitset<4>(mask) << "->" << bitset<4>(sub) << '\n';

            const int comp = mask^sub;
            dp[mask]+=parity[p]*dp[comp]*incomp[sub];
            sum[mask]+=parity[p]*(cursum*dp[comp]%MOD+sum[comp])*incomp[sub];
            dp[mask]%=MOD;
            sum[mask]%=MOD;
        }
    }

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

}

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 1 ms 316 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 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 1 ms 316 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 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 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 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 1 ms 316 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 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 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 324 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 320 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 316 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 276 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 320 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 340 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 2 ms 320 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 2 ms 316 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 408 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 2 ms 340 KB Output is correct
61 Correct 1 ms 320 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 1 ms 316 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 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 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 324 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 320 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 316 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 276 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 320 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 340 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 2 ms 320 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 2 ms 316 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 408 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 2 ms 340 KB Output is correct
61 Correct 1 ms 320 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 55 ms 1676 KB Output is correct
66 Correct 54 ms 1680 KB Output is correct
67 Correct 54 ms 1680 KB Output is correct
68 Correct 54 ms 1680 KB Output is correct
69 Correct 56 ms 1684 KB Output is correct
70 Correct 55 ms 1656 KB Output is correct
71 Correct 54 ms 1680 KB Output is correct
72 Correct 54 ms 1680 KB Output is correct
73 Correct 55 ms 1664 KB Output is correct
74 Correct 54 ms 1680 KB Output is correct
75 Correct 55 ms 1680 KB Output is correct
76 Correct 59 ms 1676 KB Output is correct
77 Correct 169 ms 2832 KB Output is correct
78 Correct 159 ms 2836 KB Output is correct
79 Correct 159 ms 2832 KB Output is correct
80 Correct 166 ms 2832 KB Output is correct
81 Correct 158 ms 2840 KB Output is correct
82 Correct 160 ms 2820 KB Output is correct
83 Correct 163 ms 2840 KB Output is correct
84 Correct 161 ms 2836 KB Output is correct
85 Correct 159 ms 2780 KB Output is correct
86 Correct 159 ms 2832 KB Output is correct
87 Correct 159 ms 2844 KB Output is correct
88 Correct 158 ms 2876 KB Output is correct
89 Correct 160 ms 2840 KB Output is correct
90 Correct 161 ms 2836 KB Output is correct
91 Correct 160 ms 2832 KB Output is correct
92 Correct 160 ms 2840 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 1 ms 316 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 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 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 324 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 320 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 316 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 276 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 320 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 340 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 2 ms 320 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 2 ms 316 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 408 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 2 ms 340 KB Output is correct
61 Correct 1 ms 320 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 55 ms 1676 KB Output is correct
66 Correct 54 ms 1680 KB Output is correct
67 Correct 54 ms 1680 KB Output is correct
68 Correct 54 ms 1680 KB Output is correct
69 Correct 56 ms 1684 KB Output is correct
70 Correct 55 ms 1656 KB Output is correct
71 Correct 54 ms 1680 KB Output is correct
72 Correct 54 ms 1680 KB Output is correct
73 Correct 55 ms 1664 KB Output is correct
74 Correct 54 ms 1680 KB Output is correct
75 Correct 55 ms 1680 KB Output is correct
76 Correct 59 ms 1676 KB Output is correct
77 Correct 169 ms 2832 KB Output is correct
78 Correct 159 ms 2836 KB Output is correct
79 Correct 159 ms 2832 KB Output is correct
80 Correct 166 ms 2832 KB Output is correct
81 Correct 158 ms 2840 KB Output is correct
82 Correct 160 ms 2820 KB Output is correct
83 Correct 163 ms 2840 KB Output is correct
84 Correct 161 ms 2836 KB Output is correct
85 Correct 159 ms 2780 KB Output is correct
86 Correct 159 ms 2832 KB Output is correct
87 Correct 159 ms 2844 KB Output is correct
88 Correct 158 ms 2876 KB Output is correct
89 Correct 160 ms 2840 KB Output is correct
90 Correct 161 ms 2836 KB Output is correct
91 Correct 160 ms 2832 KB Output is correct
92 Correct 160 ms 2840 KB Output is correct
93 Execution timed out 3045 ms 18920 KB Time limit exceeded
94 Halted 0 ms 0 KB -