oj.uz

Submission #868302

# Submission time Handle Problem Language Result Execution time Memory
868302 2023-10-31T03:20:56 Z ND0322 Amusement Park (CEOI19_amusementpark) C++17
63 / 100
 1660 ms 3932 KB 
#include <bits/stdc++.h>
#include <iostream>

using namespace std;

const int MAXN = 18;
const int MOD = 998244353;


//if you find a dag that works reversing all edges creates a new dag
//ans would be edges * (#dag/2)
//the dags differ by their nodes

int n, m, popcount[1<<MAXN];

long long dp[1<<MAXN];

bool indep[1<<MAXN];

//dp = num dags using nodes in the mask
//indep is if a mask is an independant subset (no two nodes are connected)
//all submasks of independant submasks are independant as well
//for all independant subsets of mask:
//if(number of nodes in subset is odd) dp[mask] += dp[the rest of the mask]
//and because we overcount some
//if(number of nodes in subset is even) dp[mask] -= dp[the rest of the mask]



//every subset of an independant set is independant
//if it isnt then the whole thing isnt independant



int main(){
    
    scanf("%d %d", &n, &m);

    fill(indep, indep + (1<<n), 1);

    for(int i = 0; i < m; i++){
        int x,y; scanf("%d %d", &x, &y);

        indep[1<<(x-1) | 1<<(y-1)] = 0;
       
    }

    //same thing as the function
    for(int i = 0; i < n; i++){
        for(int j = (1<<n)-1; j >= 0; j--) if(j & (1<<i)) indep[j] &= indep[j ^ (1<<i)];
    }

    for(int i = 0; i < (1<<n); i++) popcount[i] = popcount[i>>1] + (i&1);
    

    dp[0] = 1;

    for(int i = 0; i < (1<<n); i++){
        //only looking for subsets no recusion needed
        for(int j = i; j >= 1; j = (j-1) & i ){
            if(indep[j]){
                if(popcount[j] & 1) dp[i] = (dp[i] + dp[i^j]) % MOD;
                else dp[i] = (dp[i] - dp[i^j]) % MOD;
            }
        }
    }

    //https://math.stackexchange.com/questions/3361647/finding-inverse-of-2-mod-m
    int minv = ((1+MOD)/2);
    

    printf("%lld\n", (long long)m * dp[(1<<n)-1] % MOD * minv % MOD);

    

  


}

Compilation message

amusementpark.cpp: In function 'int main()':
amusementpark.cpp:37:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   37 |     scanf("%d %d", &n, &m);
      |     ~~~~~^~~~~~~~~~~~~~~~~
amusementpark.cpp:42:23: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   42 |         int x,y; scanf("%d %d", &x, &y);
      |                  ~~~~~^~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 0 ms 2648 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 0 ms 2648 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 0 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 0 ms 2396 KB Output is correct
30 Correct 0 ms 2396 KB Output is correct
31 Correct 1 ms 2648 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 0 ms 2396 KB Output is correct
35 Correct 1 ms 2492 KB Output is correct
36 Correct 1 ms 2392 KB Output is correct
37 Correct 1 ms 2492 KB Output is correct
38 Correct 1 ms 2392 KB Output is correct
39 Correct 1 ms 2392 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 1 ms 2396 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2488 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 1 ms 2396 KB Output is correct
48 Correct 1 ms 2488 KB Output is correct
49 Correct 1 ms 2396 KB Output is correct
50 Correct 1 ms 2492 KB Output is correct
51 Correct 1 ms 2396 KB Output is correct
52 Correct 1 ms 2396 KB Output is correct
53 Correct 1 ms 2396 KB Output is correct
54 Correct 1 ms 2396 KB Output is correct
55 Correct 1 ms 2396 KB Output is correct
56 Correct 1 ms 2396 KB Output is correct
57 Correct 1 ms 2396 KB Output is correct
58 Correct 1 ms 2396 KB Output is correct
59 Correct 1 ms 2396 KB Output is correct
60 Correct 1 ms 2396 KB Output is correct
61 Correct 1 ms 2396 KB Output is correct
62 Correct 1 ms 2396 KB Output is correct
63 Correct 1 ms 2392 KB Output is correct
64 Correct 1 ms 2396 KB Output is correct

Subtask #4
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 0 ms 2648 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 0 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 0 ms 2396 KB Output is correct
30 Correct 0 ms 2396 KB Output is correct
31 Correct 1 ms 2648 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 0 ms 2396 KB Output is correct
35 Correct 1 ms 2492 KB Output is correct
36 Correct 1 ms 2392 KB Output is correct
37 Correct 1 ms 2492 KB Output is correct
38 Correct 1 ms 2392 KB Output is correct
39 Correct 1 ms 2392 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 1 ms 2396 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2488 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 1 ms 2396 KB Output is correct
48 Correct 1 ms 2488 KB Output is correct
49 Correct 1 ms 2396 KB Output is correct
50 Correct 1 ms 2492 KB Output is correct
51 Correct 1 ms 2396 KB Output is correct
52 Correct 1 ms 2396 KB Output is correct
53 Correct 1 ms 2396 KB Output is correct
54 Correct 1 ms 2396 KB Output is correct
55 Correct 1 ms 2396 KB Output is correct
56 Correct 1 ms 2396 KB Output is correct
57 Correct 1 ms 2396 KB Output is correct
58 Correct 1 ms 2396 KB Output is correct
59 Correct 1 ms 2396 KB Output is correct
60 Correct 1 ms 2396 KB Output is correct
61 Correct 1 ms 2396 KB Output is correct
62 Correct 1 ms 2396 KB Output is correct
63 Correct 1 ms 2392 KB Output is correct
64 Correct 1 ms 2396 KB Output is correct
65 Correct 7 ms 2396 KB Output is correct
66 Correct 7 ms 2396 KB Output is correct
67 Correct 6 ms 2492 KB Output is correct
68 Correct 6 ms 2396 KB Output is correct
69 Correct 12 ms 2396 KB Output is correct
70 Correct 9 ms 2396 KB Output is correct
71 Correct 9 ms 2396 KB Output is correct
72 Correct 10 ms 2576 KB Output is correct
73 Correct 7 ms 2396 KB Output is correct
74 Correct 7 ms 2648 KB Output is correct
75 Correct 7 ms 2396 KB Output is correct
76 Correct 8 ms 2396 KB Output is correct
77 Correct 21 ms 2492 KB Output is correct
78 Correct 20 ms 2652 KB Output is correct
79 Correct 19 ms 2652 KB Output is correct
80 Correct 17 ms 2652 KB Output is correct
81 Correct 16 ms 2656 KB Output is correct
82 Correct 15 ms 2652 KB Output is correct
83 Correct 15 ms 2660 KB Output is correct
84 Correct 14 ms 2388 KB Output is correct
85 Correct 34 ms 2652 KB Output is correct
86 Correct 29 ms 2652 KB Output is correct
87 Correct 26 ms 2652 KB Output is correct
88 Correct 28 ms 2652 KB Output is correct
89 Correct 23 ms 2648 KB Output is correct
90 Correct 20 ms 2652 KB Output is correct
91 Correct 21 ms 2652 KB Output is correct
92 Correct 22 ms 2668 KB Output is correct

Subtask #5
0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 0 ms 2648 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 0 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 0 ms 2396 KB Output is correct
30 Correct 0 ms 2396 KB Output is correct
31 Correct 1 ms 2648 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 0 ms 2396 KB Output is correct
35 Correct 1 ms 2492 KB Output is correct
36 Correct 1 ms 2392 KB Output is correct
37 Correct 1 ms 2492 KB Output is correct
38 Correct 1 ms 2392 KB Output is correct
39 Correct 1 ms 2392 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 1 ms 2396 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2488 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 1 ms 2396 KB Output is correct
48 Correct 1 ms 2488 KB Output is correct
49 Correct 1 ms 2396 KB Output is correct
50 Correct 1 ms 2492 KB Output is correct
51 Correct 1 ms 2396 KB Output is correct
52 Correct 1 ms 2396 KB Output is correct
53 Correct 1 ms 2396 KB Output is correct
54 Correct 1 ms 2396 KB Output is correct
55 Correct 1 ms 2396 KB Output is correct
56 Correct 1 ms 2396 KB Output is correct
57 Correct 1 ms 2396 KB Output is correct
58 Correct 1 ms 2396 KB Output is correct
59 Correct 1 ms 2396 KB Output is correct
60 Correct 1 ms 2396 KB Output is correct
61 Correct 1 ms 2396 KB Output is correct
62 Correct 1 ms 2396 KB Output is correct
63 Correct 1 ms 2392 KB Output is correct
64 Correct 1 ms 2396 KB Output is correct
65 Correct 7 ms 2396 KB Output is correct
66 Correct 7 ms 2396 KB Output is correct
67 Correct 6 ms 2492 KB Output is correct
68 Correct 6 ms 2396 KB Output is correct
69 Correct 12 ms 2396 KB Output is correct
70 Correct 9 ms 2396 KB Output is correct
71 Correct 9 ms 2396 KB Output is correct
72 Correct 10 ms 2576 KB Output is correct
73 Correct 7 ms 2396 KB Output is correct
74 Correct 7 ms 2648 KB Output is correct
75 Correct 7 ms 2396 KB Output is correct
76 Correct 8 ms 2396 KB Output is correct
77 Correct 21 ms 2492 KB Output is correct
78 Correct 20 ms 2652 KB Output is correct
79 Correct 19 ms 2652 KB Output is correct
80 Correct 17 ms 2652 KB Output is correct
81 Correct 16 ms 2656 KB Output is correct
82 Correct 15 ms 2652 KB Output is correct
83 Correct 15 ms 2660 KB Output is correct
84 Correct 14 ms 2388 KB Output is correct
85 Correct 34 ms 2652 KB Output is correct
86 Correct 29 ms 2652 KB Output is correct
87 Correct 26 ms 2652 KB Output is correct
88 Correct 28 ms 2652 KB Output is correct
89 Correct 23 ms 2648 KB Output is correct
90 Correct 20 ms 2652 KB Output is correct
91 Correct 21 ms 2652 KB Output is correct
92 Correct 22 ms 2668 KB Output is correct
93 Correct 859 ms 3676 KB Output is correct
94 Correct 939 ms 3692 KB Output is correct
95 Correct 954 ms 3676 KB Output is correct
96 Correct 676 ms 3744 KB Output is correct
97 Correct 578 ms 3676 KB Output is correct
98 Correct 676 ms 3676 KB Output is correct
99 Correct 69 ms 2648 KB Output is correct
100 Correct 57 ms 2648 KB Output is correct
101 Correct 58 ms 2648 KB Output is correct
102 Correct 48 ms 2648 KB Output is correct
103 Correct 619 ms 3152 KB Output is correct
104 Correct 253 ms 2908 KB Output is correct
105 Correct 239 ms 3128 KB Output is correct
106 Correct 169 ms 2908 KB Output is correct
107 Correct 1660 ms 3932 KB Output is correct
108 Correct 636 ms 3680 KB Output is correct
109 Correct 476 ms 3676 KB Output is correct
110 Correct 411 ms 3676 KB Output is correct
111 Correct 49 ms 2652 KB Output is correct
112 Correct 42 ms 2656 KB Output is correct
113 Correct 40 ms 3000 KB Output is correct
114 Correct 149 ms 2792 KB Output is correct
115 Correct 75 ms 2652 KB Output is correct
116 Correct 98 ms 2652 KB Output is correct
117 Correct 83 ms 2792 KB Output is correct
118 Correct 74 ms 2648 KB Output is correct
119 Correct 61 ms 2652 KB Output is correct
120 Correct 71 ms 2648 KB Output is correct
121 Correct 67 ms 2652 KB Output is correct
122 Correct 150 ms 2904 KB Output is correct
123 Correct 128 ms 2908 KB Output is correct
124 Correct 123 ms 3112 KB Output is correct
125 Correct 118 ms 2908 KB Output is correct
126 Correct 110 ms 2908 KB Output is correct
127 Correct 104 ms 2904 KB Output is correct
128 Correct 104 ms 3116 KB Output is correct
129 Correct 95 ms 2904 KB Output is correct
130 Correct 91 ms 3120 KB Output is correct
131 Correct 388 ms 2904 KB Output is correct
132 Correct 278 ms 2904 KB Output is correct
133 Correct 241 ms 3112 KB Output is correct
134 Correct 248 ms 3116 KB Output is correct
135 Correct 229 ms 3116 KB Output is correct
136 Correct 185 ms 3120 KB Output is correct
137 Correct 215 ms 3152 KB Output is correct
138 Correct 249 ms 3116 KB Output is correct
139 Correct 176 ms 2904 KB Output is correct
140 Incorrect 159 ms 3116 KB Output isn't correct
141 Halted 0 ms 0 KB -