답안 #868302

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
868302	2023-10-31T03:20:56 Z	ND0322	Amusement Park (CEOI19_amusementpark)	C++17	63 / 100	1660 ms	3932 KB

amusementpark

#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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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	-

답안 #868302

Compilation message

Subtask #1 7.0 / 7.0

Subtask #2 12.0 / 12.0

Subtask #3 23.0 / 23.0

Subtask #4 21.0 / 21.0

Subtask #5 0 / 37.0

Subtask #1
7.0 / 7.0

Subtask #2
12.0 / 12.0

Subtask #3
23.0 / 23.0

Subtask #4
21.0 / 21.0

Subtask #5
0 / 37.0