답안 #868306

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
868306	2023-10-31T03:27:22 Z	ND0322	Amusement Park (CEOI19_amusementpark)	C++17	63 / 100	1991 ms	3988 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++){
        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", 1LL * 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	2392 KB	Output is correct
2	Correct	1 ms	2648 KB	Output is correct
3	Correct	0 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	0 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	2392 KB	Output is correct
2	Correct	1 ms	2648 KB	Output is correct
3	Correct	0 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	0 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	0 ms	2396 KB	Output is correct
11	Correct	0 ms	2396 KB	Output is correct
12	Correct	1 ms	2396 KB	Output is correct
13	Correct	0 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	0 ms	2396 KB	Output is correct
18	Correct	0 ms	2396 KB	Output is correct
19	Correct	1 ms	2396 KB	Output is correct
20	Correct	1 ms	2408 KB	Output is correct
21	Correct	1 ms	2648 KB	Output is correct
22	Correct	1 ms	2648 KB	Output is correct
23	Correct	0 ms	2392 KB	Output is correct
24	Correct	0 ms	2396 KB	Output is correct

Subtask #3
23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	2392 KB	Output is correct
2	Correct	1 ms	2648 KB	Output is correct
3	Correct	0 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	0 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	0 ms	2396 KB	Output is correct
11	Correct	0 ms	2396 KB	Output is correct
12	Correct	1 ms	2396 KB	Output is correct
13	Correct	0 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	0 ms	2396 KB	Output is correct
18	Correct	0 ms	2396 KB	Output is correct
19	Correct	1 ms	2396 KB	Output is correct
20	Correct	1 ms	2408 KB	Output is correct
21	Correct	1 ms	2648 KB	Output is correct
22	Correct	1 ms	2648 KB	Output is correct
23	Correct	0 ms	2392 KB	Output is correct
24	Correct	0 ms	2396 KB	Output is correct
25	Correct	0 ms	2396 KB	Output is correct
26	Correct	0 ms	2396 KB	Output is correct
27	Correct	0 ms	2396 KB	Output is correct
28	Correct	1 ms	2392 KB	Output is correct
29	Correct	0 ms	2648 KB	Output is correct
30	Correct	0 ms	2396 KB	Output is correct
31	Correct	1 ms	2396 KB	Output is correct
32	Correct	1 ms	2396 KB	Output is correct
33	Correct	0 ms	2396 KB	Output is correct
34	Correct	1 ms	2396 KB	Output is correct
35	Correct	1 ms	2396 KB	Output is correct
36	Correct	1 ms	2392 KB	Output is correct
37	Correct	1 ms	2396 KB	Output is correct
38	Correct	0 ms	2396 KB	Output is correct
39	Correct	1 ms	2396 KB	Output is correct
40	Correct	1 ms	2480 KB	Output is correct
41	Correct	1 ms	2648 KB	Output is correct
42	Correct	1 ms	2396 KB	Output is correct
43	Correct	1 ms	2396 KB	Output is correct
44	Correct	0 ms	2396 KB	Output is correct
45	Correct	0 ms	2396 KB	Output is correct
46	Correct	0 ms	2396 KB	Output is correct
47	Correct	0 ms	2396 KB	Output is correct
48	Correct	0 ms	2392 KB	Output is correct
49	Correct	0 ms	2396 KB	Output is correct
50	Correct	0 ms	2396 KB	Output is correct
51	Correct	1 ms	2392 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	2648 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	2648 KB	Output is correct
62	Correct	1 ms	2396 KB	Output is correct
63	Correct	1 ms	2404 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	2392 KB	Output is correct
2	Correct	1 ms	2648 KB	Output is correct
3	Correct	0 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	0 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	0 ms	2396 KB	Output is correct
11	Correct	0 ms	2396 KB	Output is correct
12	Correct	1 ms	2396 KB	Output is correct
13	Correct	0 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	0 ms	2396 KB	Output is correct
18	Correct	0 ms	2396 KB	Output is correct
19	Correct	1 ms	2396 KB	Output is correct
20	Correct	1 ms	2408 KB	Output is correct
21	Correct	1 ms	2648 KB	Output is correct
22	Correct	1 ms	2648 KB	Output is correct
23	Correct	0 ms	2392 KB	Output is correct
24	Correct	0 ms	2396 KB	Output is correct
25	Correct	0 ms	2396 KB	Output is correct
26	Correct	0 ms	2396 KB	Output is correct
27	Correct	0 ms	2396 KB	Output is correct
28	Correct	1 ms	2392 KB	Output is correct
29	Correct	0 ms	2648 KB	Output is correct
30	Correct	0 ms	2396 KB	Output is correct
31	Correct	1 ms	2396 KB	Output is correct
32	Correct	1 ms	2396 KB	Output is correct
33	Correct	0 ms	2396 KB	Output is correct
34	Correct	1 ms	2396 KB	Output is correct
35	Correct	1 ms	2396 KB	Output is correct
36	Correct	1 ms	2392 KB	Output is correct
37	Correct	1 ms	2396 KB	Output is correct
38	Correct	0 ms	2396 KB	Output is correct
39	Correct	1 ms	2396 KB	Output is correct
40	Correct	1 ms	2480 KB	Output is correct
41	Correct	1 ms	2648 KB	Output is correct
42	Correct	1 ms	2396 KB	Output is correct
43	Correct	1 ms	2396 KB	Output is correct
44	Correct	0 ms	2396 KB	Output is correct
45	Correct	0 ms	2396 KB	Output is correct
46	Correct	0 ms	2396 KB	Output is correct
47	Correct	0 ms	2396 KB	Output is correct
48	Correct	0 ms	2392 KB	Output is correct
49	Correct	0 ms	2396 KB	Output is correct
50	Correct	0 ms	2396 KB	Output is correct
51	Correct	1 ms	2392 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	2648 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	2648 KB	Output is correct
62	Correct	1 ms	2396 KB	Output is correct
63	Correct	1 ms	2404 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	2564 KB	Output is correct
67	Correct	7 ms	2396 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	2576 KB	Output is correct
71	Correct	9 ms	2392 KB	Output is correct
72	Correct	10 ms	2396 KB	Output is correct
73	Correct	7 ms	2396 KB	Output is correct
74	Correct	8 ms	2576 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	2656 KB	Output is correct
78	Correct	20 ms	2656 KB	Output is correct
79	Correct	20 ms	2652 KB	Output is correct
80	Correct	18 ms	2652 KB	Output is correct
81	Correct	17 ms	2652 KB	Output is correct
82	Correct	15 ms	2652 KB	Output is correct
83	Correct	14 ms	2652 KB	Output is correct
84	Correct	14 ms	2652 KB	Output is correct
85	Correct	44 ms	2652 KB	Output is correct
86	Correct	25 ms	2648 KB	Output is correct
87	Correct	26 ms	2392 KB	Output is correct
88	Correct	28 ms	2656 KB	Output is correct
89	Correct	20 ms	2396 KB	Output is correct
90	Correct	20 ms	2652 KB	Output is correct
91	Correct	21 ms	2648 KB	Output is correct
92	Correct	22 ms	2652 KB	Output is correct

Subtask #5
0 / 37.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	2392 KB	Output is correct
2	Correct	1 ms	2648 KB	Output is correct
3	Correct	0 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	0 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	0 ms	2396 KB	Output is correct
11	Correct	0 ms	2396 KB	Output is correct
12	Correct	1 ms	2396 KB	Output is correct
13	Correct	0 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	0 ms	2396 KB	Output is correct
18	Correct	0 ms	2396 KB	Output is correct
19	Correct	1 ms	2396 KB	Output is correct
20	Correct	1 ms	2408 KB	Output is correct
21	Correct	1 ms	2648 KB	Output is correct
22	Correct	1 ms	2648 KB	Output is correct
23	Correct	0 ms	2392 KB	Output is correct
24	Correct	0 ms	2396 KB	Output is correct
25	Correct	0 ms	2396 KB	Output is correct
26	Correct	0 ms	2396 KB	Output is correct
27	Correct	0 ms	2396 KB	Output is correct
28	Correct	1 ms	2392 KB	Output is correct
29	Correct	0 ms	2648 KB	Output is correct
30	Correct	0 ms	2396 KB	Output is correct
31	Correct	1 ms	2396 KB	Output is correct
32	Correct	1 ms	2396 KB	Output is correct
33	Correct	0 ms	2396 KB	Output is correct
34	Correct	1 ms	2396 KB	Output is correct
35	Correct	1 ms	2396 KB	Output is correct
36	Correct	1 ms	2392 KB	Output is correct
37	Correct	1 ms	2396 KB	Output is correct
38	Correct	0 ms	2396 KB	Output is correct
39	Correct	1 ms	2396 KB	Output is correct
40	Correct	1 ms	2480 KB	Output is correct
41	Correct	1 ms	2648 KB	Output is correct
42	Correct	1 ms	2396 KB	Output is correct
43	Correct	1 ms	2396 KB	Output is correct
44	Correct	0 ms	2396 KB	Output is correct
45	Correct	0 ms	2396 KB	Output is correct
46	Correct	0 ms	2396 KB	Output is correct
47	Correct	0 ms	2396 KB	Output is correct
48	Correct	0 ms	2392 KB	Output is correct
49	Correct	0 ms	2396 KB	Output is correct
50	Correct	0 ms	2396 KB	Output is correct
51	Correct	1 ms	2392 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	2648 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	2648 KB	Output is correct
62	Correct	1 ms	2396 KB	Output is correct
63	Correct	1 ms	2404 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	2564 KB	Output is correct
67	Correct	7 ms	2396 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	2576 KB	Output is correct
71	Correct	9 ms	2392 KB	Output is correct
72	Correct	10 ms	2396 KB	Output is correct
73	Correct	7 ms	2396 KB	Output is correct
74	Correct	8 ms	2576 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	2656 KB	Output is correct
78	Correct	20 ms	2656 KB	Output is correct
79	Correct	20 ms	2652 KB	Output is correct
80	Correct	18 ms	2652 KB	Output is correct
81	Correct	17 ms	2652 KB	Output is correct
82	Correct	15 ms	2652 KB	Output is correct
83	Correct	14 ms	2652 KB	Output is correct
84	Correct	14 ms	2652 KB	Output is correct
85	Correct	44 ms	2652 KB	Output is correct
86	Correct	25 ms	2648 KB	Output is correct
87	Correct	26 ms	2392 KB	Output is correct
88	Correct	28 ms	2656 KB	Output is correct
89	Correct	20 ms	2396 KB	Output is correct
90	Correct	20 ms	2652 KB	Output is correct
91	Correct	21 ms	2648 KB	Output is correct
92	Correct	22 ms	2652 KB	Output is correct
93	Correct	923 ms	3920 KB	Output is correct
94	Correct	928 ms	3676 KB	Output is correct
95	Correct	950 ms	3920 KB	Output is correct
96	Correct	668 ms	3672 KB	Output is correct
97	Correct	575 ms	3676 KB	Output is correct
98	Correct	675 ms	3988 KB	Output is correct
99	Correct	68 ms	2792 KB	Output is correct
100	Correct	56 ms	2792 KB	Output is correct
101	Correct	53 ms	2652 KB	Output is correct
102	Correct	48 ms	2652 KB	Output is correct
103	Correct	562 ms	3108 KB	Output is correct
104	Correct	293 ms	3108 KB	Output is correct
105	Correct	233 ms	2904 KB	Output is correct
106	Correct	174 ms	3112 KB	Output is correct
107	Correct	1991 ms	3672 KB	Output is correct
108	Correct	674 ms	3672 KB	Output is correct
109	Correct	504 ms	3708 KB	Output is correct
110	Correct	423 ms	3688 KB	Output is correct
111	Correct	45 ms	2796 KB	Output is correct
112	Correct	42 ms	2816 KB	Output is correct
113	Correct	40 ms	2652 KB	Output is correct
114	Correct	100 ms	2792 KB	Output is correct
115	Correct	78 ms	2652 KB	Output is correct
116	Correct	76 ms	2648 KB	Output is correct
117	Correct	85 ms	2652 KB	Output is correct
118	Correct	60 ms	2648 KB	Output is correct
119	Correct	77 ms	2648 KB	Output is correct
120	Correct	61 ms	2652 KB	Output is correct
121	Correct	65 ms	2648 KB	Output is correct
122	Correct	155 ms	3112 KB	Output is correct
123	Correct	128 ms	2908 KB	Output is correct
124	Correct	122 ms	2904 KB	Output is correct
125	Correct	116 ms	2908 KB	Output is correct
126	Correct	110 ms	3112 KB	Output is correct
127	Correct	112 ms	3116 KB	Output is correct
128	Correct	99 ms	3116 KB	Output is correct
129	Correct	94 ms	3108 KB	Output is correct
130	Correct	91 ms	2904 KB	Output is correct
131	Correct	430 ms	2904 KB	Output is correct
132	Correct	274 ms	3108 KB	Output is correct
133	Correct	229 ms	2904 KB	Output is correct
134	Correct	306 ms	3152 KB	Output is correct
135	Correct	212 ms	3116 KB	Output is correct
136	Correct	200 ms	2904 KB	Output is correct
137	Correct	181 ms	2904 KB	Output is correct
138	Correct	209 ms	3112 KB	Output is correct
139	Correct	175 ms	3108 KB	Output is correct
140	Incorrect	185 ms	2908 KB	Output isn't correct
141	Halted	0 ms	0 KB	-

답안 #868306

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