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
ArrayList<Integer> indep = new ArrayList<>();
for (int i = 0;i<(1<<num);i++) {
boolean temp = true;
for (int j = 0;j<num;j++) {
if ((i&(1<<j))==0) continue;
for (int k : graph.get(j)) {
if ((i&(1<<k))!=0){
temp = false; break;
}
}
if (!temp) break;
}
if (temp) indep.add(i);
}
//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 : indep) {
if ((i|j)!=i) 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;
}
}
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 |
51 ms |
26556 KB |
Output is correct |
2 |
Correct |
46 ms |
22272 KB |
Output is correct |
3 |
Correct |
45 ms |
24336 KB |
Output is correct |
4 |
Correct |
40 ms |
21948 KB |
Output is correct |
5 |
Correct |
42 ms |
22112 KB |
Output is correct |
6 |
Correct |
43 ms |
24208 KB |
Output is correct |
7 |
Correct |
42 ms |
22696 KB |
Output is correct |
8 |
Correct |
42 ms |
24484 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
51 ms |
26556 KB |
Output is correct |
2 |
Correct |
46 ms |
22272 KB |
Output is correct |
3 |
Correct |
45 ms |
24336 KB |
Output is correct |
4 |
Correct |
40 ms |
21948 KB |
Output is correct |
5 |
Correct |
42 ms |
22112 KB |
Output is correct |
6 |
Correct |
43 ms |
24208 KB |
Output is correct |
7 |
Correct |
42 ms |
22696 KB |
Output is correct |
8 |
Correct |
42 ms |
24484 KB |
Output is correct |
9 |
Correct |
40 ms |
22452 KB |
Output is correct |
10 |
Correct |
38 ms |
22476 KB |
Output is correct |
11 |
Correct |
41 ms |
22072 KB |
Output is correct |
12 |
Correct |
43 ms |
22156 KB |
Output is correct |
13 |
Correct |
48 ms |
24148 KB |
Output is correct |
14 |
Correct |
46 ms |
22448 KB |
Output is correct |
15 |
Correct |
45 ms |
22536 KB |
Output is correct |
16 |
Correct |
46 ms |
22432 KB |
Output is correct |
17 |
Correct |
50 ms |
22116 KB |
Output is correct |
18 |
Correct |
45 ms |
22644 KB |
Output is correct |
19 |
Correct |
45 ms |
22356 KB |
Output is correct |
20 |
Correct |
46 ms |
21832 KB |
Output is correct |
21 |
Correct |
47 ms |
22532 KB |
Output is correct |
22 |
Correct |
45 ms |
22440 KB |
Output is correct |
23 |
Correct |
47 ms |
21868 KB |
Output is correct |
24 |
Correct |
46 ms |
22244 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
51 ms |
26556 KB |
Output is correct |
2 |
Correct |
46 ms |
22272 KB |
Output is correct |
3 |
Correct |
45 ms |
24336 KB |
Output is correct |
4 |
Correct |
40 ms |
21948 KB |
Output is correct |
5 |
Correct |
42 ms |
22112 KB |
Output is correct |
6 |
Correct |
43 ms |
24208 KB |
Output is correct |
7 |
Correct |
42 ms |
22696 KB |
Output is correct |
8 |
Correct |
42 ms |
24484 KB |
Output is correct |
9 |
Correct |
40 ms |
22452 KB |
Output is correct |
10 |
Correct |
38 ms |
22476 KB |
Output is correct |
11 |
Correct |
41 ms |
22072 KB |
Output is correct |
12 |
Correct |
43 ms |
22156 KB |
Output is correct |
13 |
Correct |
48 ms |
24148 KB |
Output is correct |
14 |
Correct |
46 ms |
22448 KB |
Output is correct |
15 |
Correct |
45 ms |
22536 KB |
Output is correct |
16 |
Correct |
46 ms |
22432 KB |
Output is correct |
17 |
Correct |
50 ms |
22116 KB |
Output is correct |
18 |
Correct |
45 ms |
22644 KB |
Output is correct |
19 |
Correct |
45 ms |
22356 KB |
Output is correct |
20 |
Correct |
46 ms |
21832 KB |
Output is correct |
21 |
Correct |
47 ms |
22532 KB |
Output is correct |
22 |
Correct |
45 ms |
22440 KB |
Output is correct |
23 |
Correct |
47 ms |
21868 KB |
Output is correct |
24 |
Correct |
46 ms |
22244 KB |
Output is correct |
25 |
Correct |
51 ms |
22712 KB |
Output is correct |
26 |
Correct |
48 ms |
26172 KB |
Output is correct |
27 |
Correct |
48 ms |
26468 KB |
Output is correct |
28 |
Correct |
48 ms |
26232 KB |
Output is correct |
29 |
Correct |
46 ms |
22744 KB |
Output is correct |
30 |
Correct |
46 ms |
22580 KB |
Output is correct |
31 |
Correct |
46 ms |
22928 KB |
Output is correct |
32 |
Correct |
57 ms |
22632 KB |
Output is correct |
33 |
Correct |
54 ms |
22580 KB |
Output is correct |
34 |
Correct |
51 ms |
24420 KB |
Output is correct |
35 |
Correct |
55 ms |
22504 KB |
Output is correct |
36 |
Correct |
49 ms |
22400 KB |
Output is correct |
37 |
Correct |
49 ms |
24712 KB |
Output is correct |
38 |
Correct |
47 ms |
26332 KB |
Output is correct |
39 |
Correct |
59 ms |
23352 KB |
Output is correct |
40 |
Correct |
58 ms |
23152 KB |
Output is correct |
41 |
Correct |
58 ms |
23016 KB |
Output is correct |
42 |
Correct |
60 ms |
22996 KB |
Output is correct |
43 |
Correct |
55 ms |
22740 KB |
Output is correct |
44 |
Correct |
57 ms |
22424 KB |
Output is correct |
45 |
Correct |
57 ms |
22692 KB |
Output is correct |
46 |
Correct |
55 ms |
22528 KB |
Output is correct |
47 |
Correct |
49 ms |
22868 KB |
Output is correct |
48 |
Correct |
59 ms |
25036 KB |
Output is correct |
49 |
Correct |
57 ms |
21256 KB |
Output is correct |
50 |
Correct |
60 ms |
23032 KB |
Output is correct |
51 |
Correct |
62 ms |
22960 KB |
Output is correct |
52 |
Correct |
63 ms |
23080 KB |
Output is correct |
53 |
Correct |
59 ms |
23312 KB |
Output is correct |
54 |
Correct |
64 ms |
24668 KB |
Output is correct |
55 |
Correct |
59 ms |
27252 KB |
Output is correct |
56 |
Correct |
64 ms |
23336 KB |
Output is correct |
57 |
Correct |
59 ms |
23276 KB |
Output is correct |
58 |
Correct |
60 ms |
23768 KB |
Output is correct |
59 |
Correct |
65 ms |
22356 KB |
Output is correct |
60 |
Correct |
63 ms |
24200 KB |
Output is correct |
61 |
Correct |
65 ms |
23156 KB |
Output is correct |
62 |
Correct |
61 ms |
24984 KB |
Output is correct |
63 |
Correct |
60 ms |
23020 KB |
Output is correct |
64 |
Correct |
60 ms |
23108 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
51 ms |
26556 KB |
Output is correct |
2 |
Correct |
46 ms |
22272 KB |
Output is correct |
3 |
Correct |
45 ms |
24336 KB |
Output is correct |
4 |
Correct |
40 ms |
21948 KB |
Output is correct |
5 |
Correct |
42 ms |
22112 KB |
Output is correct |
6 |
Correct |
43 ms |
24208 KB |
Output is correct |
7 |
Correct |
42 ms |
22696 KB |
Output is correct |
8 |
Correct |
42 ms |
24484 KB |
Output is correct |
9 |
Correct |
40 ms |
22452 KB |
Output is correct |
10 |
Correct |
38 ms |
22476 KB |
Output is correct |
11 |
Correct |
41 ms |
22072 KB |
Output is correct |
12 |
Correct |
43 ms |
22156 KB |
Output is correct |
13 |
Correct |
48 ms |
24148 KB |
Output is correct |
14 |
Correct |
46 ms |
22448 KB |
Output is correct |
15 |
Correct |
45 ms |
22536 KB |
Output is correct |
16 |
Correct |
46 ms |
22432 KB |
Output is correct |
17 |
Correct |
50 ms |
22116 KB |
Output is correct |
18 |
Correct |
45 ms |
22644 KB |
Output is correct |
19 |
Correct |
45 ms |
22356 KB |
Output is correct |
20 |
Correct |
46 ms |
21832 KB |
Output is correct |
21 |
Correct |
47 ms |
22532 KB |
Output is correct |
22 |
Correct |
45 ms |
22440 KB |
Output is correct |
23 |
Correct |
47 ms |
21868 KB |
Output is correct |
24 |
Correct |
46 ms |
22244 KB |
Output is correct |
25 |
Correct |
51 ms |
22712 KB |
Output is correct |
26 |
Correct |
48 ms |
26172 KB |
Output is correct |
27 |
Correct |
48 ms |
26468 KB |
Output is correct |
28 |
Correct |
48 ms |
26232 KB |
Output is correct |
29 |
Correct |
46 ms |
22744 KB |
Output is correct |
30 |
Correct |
46 ms |
22580 KB |
Output is correct |
31 |
Correct |
46 ms |
22928 KB |
Output is correct |
32 |
Correct |
57 ms |
22632 KB |
Output is correct |
33 |
Correct |
54 ms |
22580 KB |
Output is correct |
34 |
Correct |
51 ms |
24420 KB |
Output is correct |
35 |
Correct |
55 ms |
22504 KB |
Output is correct |
36 |
Correct |
49 ms |
22400 KB |
Output is correct |
37 |
Correct |
49 ms |
24712 KB |
Output is correct |
38 |
Correct |
47 ms |
26332 KB |
Output is correct |
39 |
Correct |
59 ms |
23352 KB |
Output is correct |
40 |
Correct |
58 ms |
23152 KB |
Output is correct |
41 |
Correct |
58 ms |
23016 KB |
Output is correct |
42 |
Correct |
60 ms |
22996 KB |
Output is correct |
43 |
Correct |
55 ms |
22740 KB |
Output is correct |
44 |
Correct |
57 ms |
22424 KB |
Output is correct |
45 |
Correct |
57 ms |
22692 KB |
Output is correct |
46 |
Correct |
55 ms |
22528 KB |
Output is correct |
47 |
Correct |
49 ms |
22868 KB |
Output is correct |
48 |
Correct |
59 ms |
25036 KB |
Output is correct |
49 |
Correct |
57 ms |
21256 KB |
Output is correct |
50 |
Correct |
60 ms |
23032 KB |
Output is correct |
51 |
Correct |
62 ms |
22960 KB |
Output is correct |
52 |
Correct |
63 ms |
23080 KB |
Output is correct |
53 |
Correct |
59 ms |
23312 KB |
Output is correct |
54 |
Correct |
64 ms |
24668 KB |
Output is correct |
55 |
Correct |
59 ms |
27252 KB |
Output is correct |
56 |
Correct |
64 ms |
23336 KB |
Output is correct |
57 |
Correct |
59 ms |
23276 KB |
Output is correct |
58 |
Correct |
60 ms |
23768 KB |
Output is correct |
59 |
Correct |
65 ms |
22356 KB |
Output is correct |
60 |
Correct |
63 ms |
24200 KB |
Output is correct |
61 |
Correct |
65 ms |
23156 KB |
Output is correct |
62 |
Correct |
61 ms |
24984 KB |
Output is correct |
63 |
Correct |
60 ms |
23020 KB |
Output is correct |
64 |
Correct |
60 ms |
23108 KB |
Output is correct |
65 |
Correct |
101 ms |
26128 KB |
Output is correct |
66 |
Correct |
103 ms |
28092 KB |
Output is correct |
67 |
Correct |
93 ms |
24116 KB |
Output is correct |
68 |
Correct |
94 ms |
26016 KB |
Output is correct |
69 |
Correct |
544 ms |
23736 KB |
Output is correct |
70 |
Correct |
327 ms |
24084 KB |
Output is correct |
71 |
Correct |
328 ms |
24340 KB |
Output is correct |
72 |
Correct |
319 ms |
24352 KB |
Output is correct |
73 |
Correct |
214 ms |
24128 KB |
Output is correct |
74 |
Correct |
215 ms |
23764 KB |
Output is correct |
75 |
Correct |
213 ms |
24384 KB |
Output is correct |
76 |
Correct |
218 ms |
24584 KB |
Output is correct |
77 |
Correct |
209 ms |
24696 KB |
Output is correct |
78 |
Correct |
184 ms |
24656 KB |
Output is correct |
79 |
Correct |
133 ms |
28356 KB |
Output is correct |
80 |
Correct |
127 ms |
24784 KB |
Output is correct |
81 |
Correct |
120 ms |
26500 KB |
Output is correct |
82 |
Correct |
118 ms |
24428 KB |
Output is correct |
83 |
Correct |
96 ms |
26564 KB |
Output is correct |
84 |
Correct |
100 ms |
24600 KB |
Output is correct |
85 |
Correct |
1704 ms |
25096 KB |
Output is correct |
86 |
Correct |
923 ms |
24776 KB |
Output is correct |
87 |
Correct |
1006 ms |
24672 KB |
Output is correct |
88 |
Correct |
936 ms |
25052 KB |
Output is correct |
89 |
Correct |
548 ms |
24732 KB |
Output is correct |
90 |
Correct |
530 ms |
24984 KB |
Output is correct |
91 |
Correct |
564 ms |
24572 KB |
Output is correct |
92 |
Correct |
577 ms |
25128 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
51 ms |
26556 KB |
Output is correct |
2 |
Correct |
46 ms |
22272 KB |
Output is correct |
3 |
Correct |
45 ms |
24336 KB |
Output is correct |
4 |
Correct |
40 ms |
21948 KB |
Output is correct |
5 |
Correct |
42 ms |
22112 KB |
Output is correct |
6 |
Correct |
43 ms |
24208 KB |
Output is correct |
7 |
Correct |
42 ms |
22696 KB |
Output is correct |
8 |
Correct |
42 ms |
24484 KB |
Output is correct |
9 |
Correct |
40 ms |
22452 KB |
Output is correct |
10 |
Correct |
38 ms |
22476 KB |
Output is correct |
11 |
Correct |
41 ms |
22072 KB |
Output is correct |
12 |
Correct |
43 ms |
22156 KB |
Output is correct |
13 |
Correct |
48 ms |
24148 KB |
Output is correct |
14 |
Correct |
46 ms |
22448 KB |
Output is correct |
15 |
Correct |
45 ms |
22536 KB |
Output is correct |
16 |
Correct |
46 ms |
22432 KB |
Output is correct |
17 |
Correct |
50 ms |
22116 KB |
Output is correct |
18 |
Correct |
45 ms |
22644 KB |
Output is correct |
19 |
Correct |
45 ms |
22356 KB |
Output is correct |
20 |
Correct |
46 ms |
21832 KB |
Output is correct |
21 |
Correct |
47 ms |
22532 KB |
Output is correct |
22 |
Correct |
45 ms |
22440 KB |
Output is correct |
23 |
Correct |
47 ms |
21868 KB |
Output is correct |
24 |
Correct |
46 ms |
22244 KB |
Output is correct |
25 |
Correct |
51 ms |
22712 KB |
Output is correct |
26 |
Correct |
48 ms |
26172 KB |
Output is correct |
27 |
Correct |
48 ms |
26468 KB |
Output is correct |
28 |
Correct |
48 ms |
26232 KB |
Output is correct |
29 |
Correct |
46 ms |
22744 KB |
Output is correct |
30 |
Correct |
46 ms |
22580 KB |
Output is correct |
31 |
Correct |
46 ms |
22928 KB |
Output is correct |
32 |
Correct |
57 ms |
22632 KB |
Output is correct |
33 |
Correct |
54 ms |
22580 KB |
Output is correct |
34 |
Correct |
51 ms |
24420 KB |
Output is correct |
35 |
Correct |
55 ms |
22504 KB |
Output is correct |
36 |
Correct |
49 ms |
22400 KB |
Output is correct |
37 |
Correct |
49 ms |
24712 KB |
Output is correct |
38 |
Correct |
47 ms |
26332 KB |
Output is correct |
39 |
Correct |
59 ms |
23352 KB |
Output is correct |
40 |
Correct |
58 ms |
23152 KB |
Output is correct |
41 |
Correct |
58 ms |
23016 KB |
Output is correct |
42 |
Correct |
60 ms |
22996 KB |
Output is correct |
43 |
Correct |
55 ms |
22740 KB |
Output is correct |
44 |
Correct |
57 ms |
22424 KB |
Output is correct |
45 |
Correct |
57 ms |
22692 KB |
Output is correct |
46 |
Correct |
55 ms |
22528 KB |
Output is correct |
47 |
Correct |
49 ms |
22868 KB |
Output is correct |
48 |
Correct |
59 ms |
25036 KB |
Output is correct |
49 |
Correct |
57 ms |
21256 KB |
Output is correct |
50 |
Correct |
60 ms |
23032 KB |
Output is correct |
51 |
Correct |
62 ms |
22960 KB |
Output is correct |
52 |
Correct |
63 ms |
23080 KB |
Output is correct |
53 |
Correct |
59 ms |
23312 KB |
Output is correct |
54 |
Correct |
64 ms |
24668 KB |
Output is correct |
55 |
Correct |
59 ms |
27252 KB |
Output is correct |
56 |
Correct |
64 ms |
23336 KB |
Output is correct |
57 |
Correct |
59 ms |
23276 KB |
Output is correct |
58 |
Correct |
60 ms |
23768 KB |
Output is correct |
59 |
Correct |
65 ms |
22356 KB |
Output is correct |
60 |
Correct |
63 ms |
24200 KB |
Output is correct |
61 |
Correct |
65 ms |
23156 KB |
Output is correct |
62 |
Correct |
61 ms |
24984 KB |
Output is correct |
63 |
Correct |
60 ms |
23020 KB |
Output is correct |
64 |
Correct |
60 ms |
23108 KB |
Output is correct |
65 |
Correct |
101 ms |
26128 KB |
Output is correct |
66 |
Correct |
103 ms |
28092 KB |
Output is correct |
67 |
Correct |
93 ms |
24116 KB |
Output is correct |
68 |
Correct |
94 ms |
26016 KB |
Output is correct |
69 |
Correct |
544 ms |
23736 KB |
Output is correct |
70 |
Correct |
327 ms |
24084 KB |
Output is correct |
71 |
Correct |
328 ms |
24340 KB |
Output is correct |
72 |
Correct |
319 ms |
24352 KB |
Output is correct |
73 |
Correct |
214 ms |
24128 KB |
Output is correct |
74 |
Correct |
215 ms |
23764 KB |
Output is correct |
75 |
Correct |
213 ms |
24384 KB |
Output is correct |
76 |
Correct |
218 ms |
24584 KB |
Output is correct |
77 |
Correct |
209 ms |
24696 KB |
Output is correct |
78 |
Correct |
184 ms |
24656 KB |
Output is correct |
79 |
Correct |
133 ms |
28356 KB |
Output is correct |
80 |
Correct |
127 ms |
24784 KB |
Output is correct |
81 |
Correct |
120 ms |
26500 KB |
Output is correct |
82 |
Correct |
118 ms |
24428 KB |
Output is correct |
83 |
Correct |
96 ms |
26564 KB |
Output is correct |
84 |
Correct |
100 ms |
24600 KB |
Output is correct |
85 |
Correct |
1704 ms |
25096 KB |
Output is correct |
86 |
Correct |
923 ms |
24776 KB |
Output is correct |
87 |
Correct |
1006 ms |
24672 KB |
Output is correct |
88 |
Correct |
936 ms |
25052 KB |
Output is correct |
89 |
Correct |
548 ms |
24732 KB |
Output is correct |
90 |
Correct |
530 ms |
24984 KB |
Output is correct |
91 |
Correct |
564 ms |
24572 KB |
Output is correct |
92 |
Correct |
577 ms |
25128 KB |
Output is correct |
93 |
Execution timed out |
3068 ms |
31760 KB |
Time limit exceeded |
94 |
Halted |
0 ms |
0 KB |
- |