import java.io.*;
import java.util.*;
public class amusementpark {
public static int mod = 998244353;
public static void main(String[] args) throws IOException {
BufferedReader scan = new BufferedReader(new InputStreamReader(System.in));
StringTokenizer l1 = new StringTokenizer(scan.readLine());
int num = Integer.parseInt(l1.nextToken()); int m = Integer.parseInt(l1.nextToken());
HashMap<Integer, ArrayList<Integer>> graph = new HashMap<>();
for (int i = 0;i<num;i++) graph.put(i,new ArrayList<>());
for (int i = 0;i<m;i++) {
StringTokenizer st = new StringTokenizer(scan.readLine());
int a = Integer.parseInt(st.nextToken())-1; int b = Integer.parseInt(st.nextToken())-1;
graph.get(a).add(b);
}
//Store if a set i of vertices is independent or not
boolean[] indep = new boolean[1<<num]; Arrays.fill(indep, true);
for (int i = 0;i<(1<<num);i++) {
for (int j = 0;j<num;j++) {
if ((i&(1<<j))==0) continue;
for (int k : graph.get(j)) {
if ((i&(1<<k))!=0) indep[i] = false;
}
}
}
//Use DP to count the number of DAGs in the given graph
long[] dp = new long[1<<num]; //Number of DAGs in the subgraph on the set i of vertices
dp[0] = 1;
for (int i = 1;i<(1<<num);i++) {
for (int j = 1;j<(1<<num);j++) {
if ((i|j)!=i||!indep[j]) continue; //Ensures j is a subset of i
int prev = i-j;
dp[i] = (dp[i]+(int) Math.pow(-1,Integer.bitCount(j)+1)*dp[prev])%mod;
dp[i] = (dp[i]+mod)%mod;
}
}
//System.out.println(Arrays.toString(dp));
long ans = (dp[(1<<num)-1]*m)%mod;
ans = (ans%2==0) ? ans/2 : (ans+mod)/2;
System.out.println(ans);
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
39 ms |
22536 KB |
Output is correct |
2 |
Correct |
38 ms |
24736 KB |
Output is correct |
3 |
Correct |
40 ms |
21988 KB |
Output is correct |
4 |
Correct |
44 ms |
22144 KB |
Output is correct |
5 |
Correct |
41 ms |
26580 KB |
Output is correct |
6 |
Correct |
38 ms |
22408 KB |
Output is correct |
7 |
Correct |
42 ms |
24212 KB |
Output is correct |
8 |
Correct |
47 ms |
24240 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
39 ms |
22536 KB |
Output is correct |
2 |
Correct |
38 ms |
24736 KB |
Output is correct |
3 |
Correct |
40 ms |
21988 KB |
Output is correct |
4 |
Correct |
44 ms |
22144 KB |
Output is correct |
5 |
Correct |
41 ms |
26580 KB |
Output is correct |
6 |
Correct |
38 ms |
22408 KB |
Output is correct |
7 |
Correct |
42 ms |
24212 KB |
Output is correct |
8 |
Correct |
47 ms |
24240 KB |
Output is correct |
9 |
Correct |
42 ms |
26280 KB |
Output is correct |
10 |
Correct |
40 ms |
22620 KB |
Output is correct |
11 |
Correct |
42 ms |
22448 KB |
Output is correct |
12 |
Correct |
42 ms |
22140 KB |
Output is correct |
13 |
Correct |
48 ms |
21792 KB |
Output is correct |
14 |
Correct |
41 ms |
24596 KB |
Output is correct |
15 |
Correct |
41 ms |
22916 KB |
Output is correct |
16 |
Correct |
39 ms |
22624 KB |
Output is correct |
17 |
Correct |
42 ms |
26292 KB |
Output is correct |
18 |
Correct |
44 ms |
22864 KB |
Output is correct |
19 |
Correct |
45 ms |
22800 KB |
Output is correct |
20 |
Correct |
46 ms |
22496 KB |
Output is correct |
21 |
Correct |
45 ms |
22592 KB |
Output is correct |
22 |
Correct |
46 ms |
22836 KB |
Output is correct |
23 |
Correct |
43 ms |
22184 KB |
Output is correct |
24 |
Correct |
45 ms |
22584 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
39 ms |
22536 KB |
Output is correct |
2 |
Correct |
38 ms |
24736 KB |
Output is correct |
3 |
Correct |
40 ms |
21988 KB |
Output is correct |
4 |
Correct |
44 ms |
22144 KB |
Output is correct |
5 |
Correct |
41 ms |
26580 KB |
Output is correct |
6 |
Correct |
38 ms |
22408 KB |
Output is correct |
7 |
Correct |
42 ms |
24212 KB |
Output is correct |
8 |
Correct |
47 ms |
24240 KB |
Output is correct |
9 |
Correct |
42 ms |
26280 KB |
Output is correct |
10 |
Correct |
40 ms |
22620 KB |
Output is correct |
11 |
Correct |
42 ms |
22448 KB |
Output is correct |
12 |
Correct |
42 ms |
22140 KB |
Output is correct |
13 |
Correct |
48 ms |
21792 KB |
Output is correct |
14 |
Correct |
41 ms |
24596 KB |
Output is correct |
15 |
Correct |
41 ms |
22916 KB |
Output is correct |
16 |
Correct |
39 ms |
22624 KB |
Output is correct |
17 |
Correct |
42 ms |
26292 KB |
Output is correct |
18 |
Correct |
44 ms |
22864 KB |
Output is correct |
19 |
Correct |
45 ms |
22800 KB |
Output is correct |
20 |
Correct |
46 ms |
22496 KB |
Output is correct |
21 |
Correct |
45 ms |
22592 KB |
Output is correct |
22 |
Correct |
46 ms |
22836 KB |
Output is correct |
23 |
Correct |
43 ms |
22184 KB |
Output is correct |
24 |
Correct |
45 ms |
22584 KB |
Output is correct |
25 |
Correct |
49 ms |
22744 KB |
Output is correct |
26 |
Correct |
50 ms |
22752 KB |
Output is correct |
27 |
Correct |
48 ms |
23920 KB |
Output is correct |
28 |
Correct |
46 ms |
22740 KB |
Output is correct |
29 |
Correct |
47 ms |
22744 KB |
Output is correct |
30 |
Correct |
47 ms |
23336 KB |
Output is correct |
31 |
Correct |
48 ms |
22808 KB |
Output is correct |
32 |
Correct |
53 ms |
22916 KB |
Output is correct |
33 |
Correct |
48 ms |
22596 KB |
Output is correct |
34 |
Correct |
48 ms |
25016 KB |
Output is correct |
35 |
Correct |
47 ms |
22736 KB |
Output is correct |
36 |
Correct |
51 ms |
22440 KB |
Output is correct |
37 |
Correct |
50 ms |
22768 KB |
Output is correct |
38 |
Correct |
48 ms |
22648 KB |
Output is correct |
39 |
Correct |
52 ms |
22648 KB |
Output is correct |
40 |
Correct |
53 ms |
22432 KB |
Output is correct |
41 |
Correct |
55 ms |
22824 KB |
Output is correct |
42 |
Correct |
50 ms |
22656 KB |
Output is correct |
43 |
Correct |
57 ms |
22784 KB |
Output is correct |
44 |
Correct |
57 ms |
25104 KB |
Output is correct |
45 |
Correct |
56 ms |
24608 KB |
Output is correct |
46 |
Correct |
58 ms |
22948 KB |
Output is correct |
47 |
Correct |
52 ms |
22740 KB |
Output is correct |
48 |
Correct |
51 ms |
22776 KB |
Output is correct |
49 |
Correct |
53 ms |
22680 KB |
Output is correct |
50 |
Correct |
53 ms |
22776 KB |
Output is correct |
51 |
Correct |
53 ms |
22904 KB |
Output is correct |
52 |
Correct |
55 ms |
23084 KB |
Output is correct |
53 |
Correct |
61 ms |
22640 KB |
Output is correct |
54 |
Correct |
60 ms |
22724 KB |
Output is correct |
55 |
Correct |
57 ms |
23028 KB |
Output is correct |
56 |
Correct |
72 ms |
23096 KB |
Output is correct |
57 |
Correct |
63 ms |
23156 KB |
Output is correct |
58 |
Correct |
66 ms |
25476 KB |
Output is correct |
59 |
Correct |
67 ms |
29700 KB |
Output is correct |
60 |
Correct |
64 ms |
23528 KB |
Output is correct |
61 |
Correct |
58 ms |
23028 KB |
Output is correct |
62 |
Correct |
59 ms |
22352 KB |
Output is correct |
63 |
Correct |
61 ms |
22548 KB |
Output is correct |
64 |
Correct |
63 ms |
23024 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
39 ms |
22536 KB |
Output is correct |
2 |
Correct |
38 ms |
24736 KB |
Output is correct |
3 |
Correct |
40 ms |
21988 KB |
Output is correct |
4 |
Correct |
44 ms |
22144 KB |
Output is correct |
5 |
Correct |
41 ms |
26580 KB |
Output is correct |
6 |
Correct |
38 ms |
22408 KB |
Output is correct |
7 |
Correct |
42 ms |
24212 KB |
Output is correct |
8 |
Correct |
47 ms |
24240 KB |
Output is correct |
9 |
Correct |
42 ms |
26280 KB |
Output is correct |
10 |
Correct |
40 ms |
22620 KB |
Output is correct |
11 |
Correct |
42 ms |
22448 KB |
Output is correct |
12 |
Correct |
42 ms |
22140 KB |
Output is correct |
13 |
Correct |
48 ms |
21792 KB |
Output is correct |
14 |
Correct |
41 ms |
24596 KB |
Output is correct |
15 |
Correct |
41 ms |
22916 KB |
Output is correct |
16 |
Correct |
39 ms |
22624 KB |
Output is correct |
17 |
Correct |
42 ms |
26292 KB |
Output is correct |
18 |
Correct |
44 ms |
22864 KB |
Output is correct |
19 |
Correct |
45 ms |
22800 KB |
Output is correct |
20 |
Correct |
46 ms |
22496 KB |
Output is correct |
21 |
Correct |
45 ms |
22592 KB |
Output is correct |
22 |
Correct |
46 ms |
22836 KB |
Output is correct |
23 |
Correct |
43 ms |
22184 KB |
Output is correct |
24 |
Correct |
45 ms |
22584 KB |
Output is correct |
25 |
Correct |
49 ms |
22744 KB |
Output is correct |
26 |
Correct |
50 ms |
22752 KB |
Output is correct |
27 |
Correct |
48 ms |
23920 KB |
Output is correct |
28 |
Correct |
46 ms |
22740 KB |
Output is correct |
29 |
Correct |
47 ms |
22744 KB |
Output is correct |
30 |
Correct |
47 ms |
23336 KB |
Output is correct |
31 |
Correct |
48 ms |
22808 KB |
Output is correct |
32 |
Correct |
53 ms |
22916 KB |
Output is correct |
33 |
Correct |
48 ms |
22596 KB |
Output is correct |
34 |
Correct |
48 ms |
25016 KB |
Output is correct |
35 |
Correct |
47 ms |
22736 KB |
Output is correct |
36 |
Correct |
51 ms |
22440 KB |
Output is correct |
37 |
Correct |
50 ms |
22768 KB |
Output is correct |
38 |
Correct |
48 ms |
22648 KB |
Output is correct |
39 |
Correct |
52 ms |
22648 KB |
Output is correct |
40 |
Correct |
53 ms |
22432 KB |
Output is correct |
41 |
Correct |
55 ms |
22824 KB |
Output is correct |
42 |
Correct |
50 ms |
22656 KB |
Output is correct |
43 |
Correct |
57 ms |
22784 KB |
Output is correct |
44 |
Correct |
57 ms |
25104 KB |
Output is correct |
45 |
Correct |
56 ms |
24608 KB |
Output is correct |
46 |
Correct |
58 ms |
22948 KB |
Output is correct |
47 |
Correct |
52 ms |
22740 KB |
Output is correct |
48 |
Correct |
51 ms |
22776 KB |
Output is correct |
49 |
Correct |
53 ms |
22680 KB |
Output is correct |
50 |
Correct |
53 ms |
22776 KB |
Output is correct |
51 |
Correct |
53 ms |
22904 KB |
Output is correct |
52 |
Correct |
55 ms |
23084 KB |
Output is correct |
53 |
Correct |
61 ms |
22640 KB |
Output is correct |
54 |
Correct |
60 ms |
22724 KB |
Output is correct |
55 |
Correct |
57 ms |
23028 KB |
Output is correct |
56 |
Correct |
72 ms |
23096 KB |
Output is correct |
57 |
Correct |
63 ms |
23156 KB |
Output is correct |
58 |
Correct |
66 ms |
25476 KB |
Output is correct |
59 |
Correct |
67 ms |
29700 KB |
Output is correct |
60 |
Correct |
64 ms |
23528 KB |
Output is correct |
61 |
Correct |
58 ms |
23028 KB |
Output is correct |
62 |
Correct |
59 ms |
22352 KB |
Output is correct |
63 |
Correct |
61 ms |
22548 KB |
Output is correct |
64 |
Correct |
63 ms |
23024 KB |
Output is correct |
65 |
Correct |
220 ms |
24076 KB |
Output is correct |
66 |
Correct |
229 ms |
24556 KB |
Output is correct |
67 |
Correct |
232 ms |
26612 KB |
Output is correct |
68 |
Correct |
206 ms |
24928 KB |
Output is correct |
69 |
Correct |
280 ms |
23980 KB |
Output is correct |
70 |
Correct |
287 ms |
26024 KB |
Output is correct |
71 |
Correct |
271 ms |
23924 KB |
Output is correct |
72 |
Correct |
277 ms |
23848 KB |
Output is correct |
73 |
Correct |
246 ms |
22372 KB |
Output is correct |
74 |
Correct |
238 ms |
20076 KB |
Output is correct |
75 |
Correct |
252 ms |
20404 KB |
Output is correct |
76 |
Correct |
235 ms |
16068 KB |
Output is correct |
77 |
Correct |
643 ms |
19300 KB |
Output is correct |
78 |
Correct |
597 ms |
17304 KB |
Output is correct |
79 |
Correct |
601 ms |
24600 KB |
Output is correct |
80 |
Correct |
630 ms |
23288 KB |
Output is correct |
81 |
Correct |
600 ms |
24424 KB |
Output is correct |
82 |
Correct |
600 ms |
24760 KB |
Output is correct |
83 |
Correct |
577 ms |
24544 KB |
Output is correct |
84 |
Correct |
591 ms |
25108 KB |
Output is correct |
85 |
Correct |
831 ms |
23832 KB |
Output is correct |
86 |
Correct |
752 ms |
19472 KB |
Output is correct |
87 |
Correct |
746 ms |
23860 KB |
Output is correct |
88 |
Correct |
714 ms |
24216 KB |
Output is correct |
89 |
Correct |
711 ms |
20604 KB |
Output is correct |
90 |
Correct |
677 ms |
17668 KB |
Output is correct |
91 |
Correct |
643 ms |
20032 KB |
Output is correct |
92 |
Correct |
668 ms |
22072 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
39 ms |
22536 KB |
Output is correct |
2 |
Correct |
38 ms |
24736 KB |
Output is correct |
3 |
Correct |
40 ms |
21988 KB |
Output is correct |
4 |
Correct |
44 ms |
22144 KB |
Output is correct |
5 |
Correct |
41 ms |
26580 KB |
Output is correct |
6 |
Correct |
38 ms |
22408 KB |
Output is correct |
7 |
Correct |
42 ms |
24212 KB |
Output is correct |
8 |
Correct |
47 ms |
24240 KB |
Output is correct |
9 |
Correct |
42 ms |
26280 KB |
Output is correct |
10 |
Correct |
40 ms |
22620 KB |
Output is correct |
11 |
Correct |
42 ms |
22448 KB |
Output is correct |
12 |
Correct |
42 ms |
22140 KB |
Output is correct |
13 |
Correct |
48 ms |
21792 KB |
Output is correct |
14 |
Correct |
41 ms |
24596 KB |
Output is correct |
15 |
Correct |
41 ms |
22916 KB |
Output is correct |
16 |
Correct |
39 ms |
22624 KB |
Output is correct |
17 |
Correct |
42 ms |
26292 KB |
Output is correct |
18 |
Correct |
44 ms |
22864 KB |
Output is correct |
19 |
Correct |
45 ms |
22800 KB |
Output is correct |
20 |
Correct |
46 ms |
22496 KB |
Output is correct |
21 |
Correct |
45 ms |
22592 KB |
Output is correct |
22 |
Correct |
46 ms |
22836 KB |
Output is correct |
23 |
Correct |
43 ms |
22184 KB |
Output is correct |
24 |
Correct |
45 ms |
22584 KB |
Output is correct |
25 |
Correct |
49 ms |
22744 KB |
Output is correct |
26 |
Correct |
50 ms |
22752 KB |
Output is correct |
27 |
Correct |
48 ms |
23920 KB |
Output is correct |
28 |
Correct |
46 ms |
22740 KB |
Output is correct |
29 |
Correct |
47 ms |
22744 KB |
Output is correct |
30 |
Correct |
47 ms |
23336 KB |
Output is correct |
31 |
Correct |
48 ms |
22808 KB |
Output is correct |
32 |
Correct |
53 ms |
22916 KB |
Output is correct |
33 |
Correct |
48 ms |
22596 KB |
Output is correct |
34 |
Correct |
48 ms |
25016 KB |
Output is correct |
35 |
Correct |
47 ms |
22736 KB |
Output is correct |
36 |
Correct |
51 ms |
22440 KB |
Output is correct |
37 |
Correct |
50 ms |
22768 KB |
Output is correct |
38 |
Correct |
48 ms |
22648 KB |
Output is correct |
39 |
Correct |
52 ms |
22648 KB |
Output is correct |
40 |
Correct |
53 ms |
22432 KB |
Output is correct |
41 |
Correct |
55 ms |
22824 KB |
Output is correct |
42 |
Correct |
50 ms |
22656 KB |
Output is correct |
43 |
Correct |
57 ms |
22784 KB |
Output is correct |
44 |
Correct |
57 ms |
25104 KB |
Output is correct |
45 |
Correct |
56 ms |
24608 KB |
Output is correct |
46 |
Correct |
58 ms |
22948 KB |
Output is correct |
47 |
Correct |
52 ms |
22740 KB |
Output is correct |
48 |
Correct |
51 ms |
22776 KB |
Output is correct |
49 |
Correct |
53 ms |
22680 KB |
Output is correct |
50 |
Correct |
53 ms |
22776 KB |
Output is correct |
51 |
Correct |
53 ms |
22904 KB |
Output is correct |
52 |
Correct |
55 ms |
23084 KB |
Output is correct |
53 |
Correct |
61 ms |
22640 KB |
Output is correct |
54 |
Correct |
60 ms |
22724 KB |
Output is correct |
55 |
Correct |
57 ms |
23028 KB |
Output is correct |
56 |
Correct |
72 ms |
23096 KB |
Output is correct |
57 |
Correct |
63 ms |
23156 KB |
Output is correct |
58 |
Correct |
66 ms |
25476 KB |
Output is correct |
59 |
Correct |
67 ms |
29700 KB |
Output is correct |
60 |
Correct |
64 ms |
23528 KB |
Output is correct |
61 |
Correct |
58 ms |
23028 KB |
Output is correct |
62 |
Correct |
59 ms |
22352 KB |
Output is correct |
63 |
Correct |
61 ms |
22548 KB |
Output is correct |
64 |
Correct |
63 ms |
23024 KB |
Output is correct |
65 |
Correct |
220 ms |
24076 KB |
Output is correct |
66 |
Correct |
229 ms |
24556 KB |
Output is correct |
67 |
Correct |
232 ms |
26612 KB |
Output is correct |
68 |
Correct |
206 ms |
24928 KB |
Output is correct |
69 |
Correct |
280 ms |
23980 KB |
Output is correct |
70 |
Correct |
287 ms |
26024 KB |
Output is correct |
71 |
Correct |
271 ms |
23924 KB |
Output is correct |
72 |
Correct |
277 ms |
23848 KB |
Output is correct |
73 |
Correct |
246 ms |
22372 KB |
Output is correct |
74 |
Correct |
238 ms |
20076 KB |
Output is correct |
75 |
Correct |
252 ms |
20404 KB |
Output is correct |
76 |
Correct |
235 ms |
16068 KB |
Output is correct |
77 |
Correct |
643 ms |
19300 KB |
Output is correct |
78 |
Correct |
597 ms |
17304 KB |
Output is correct |
79 |
Correct |
601 ms |
24600 KB |
Output is correct |
80 |
Correct |
630 ms |
23288 KB |
Output is correct |
81 |
Correct |
600 ms |
24424 KB |
Output is correct |
82 |
Correct |
600 ms |
24760 KB |
Output is correct |
83 |
Correct |
577 ms |
24544 KB |
Output is correct |
84 |
Correct |
591 ms |
25108 KB |
Output is correct |
85 |
Correct |
831 ms |
23832 KB |
Output is correct |
86 |
Correct |
752 ms |
19472 KB |
Output is correct |
87 |
Correct |
746 ms |
23860 KB |
Output is correct |
88 |
Correct |
714 ms |
24216 KB |
Output is correct |
89 |
Correct |
711 ms |
20604 KB |
Output is correct |
90 |
Correct |
677 ms |
17668 KB |
Output is correct |
91 |
Correct |
643 ms |
20032 KB |
Output is correct |
92 |
Correct |
668 ms |
22072 KB |
Output is correct |
93 |
Execution timed out |
3017 ms |
24604 KB |
Time limit exceeded |
94 |
Halted |
0 ms |
0 KB |
- |