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 = i;j>0;j = (j-1)&i) {
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 |
46 ms |
22372 KB |
Output is correct |
2 |
Correct |
44 ms |
24424 KB |
Output is correct |
3 |
Correct |
53 ms |
22224 KB |
Output is correct |
4 |
Correct |
51 ms |
22448 KB |
Output is correct |
5 |
Correct |
45 ms |
24268 KB |
Output is correct |
6 |
Correct |
45 ms |
22248 KB |
Output is correct |
7 |
Correct |
48 ms |
22408 KB |
Output is correct |
8 |
Correct |
46 ms |
22220 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
22372 KB |
Output is correct |
2 |
Correct |
44 ms |
24424 KB |
Output is correct |
3 |
Correct |
53 ms |
22224 KB |
Output is correct |
4 |
Correct |
51 ms |
22448 KB |
Output is correct |
5 |
Correct |
45 ms |
24268 KB |
Output is correct |
6 |
Correct |
45 ms |
22248 KB |
Output is correct |
7 |
Correct |
48 ms |
22408 KB |
Output is correct |
8 |
Correct |
46 ms |
22220 KB |
Output is correct |
9 |
Correct |
45 ms |
22728 KB |
Output is correct |
10 |
Correct |
46 ms |
22148 KB |
Output is correct |
11 |
Correct |
45 ms |
26632 KB |
Output is correct |
12 |
Correct |
45 ms |
22072 KB |
Output is correct |
13 |
Correct |
44 ms |
22692 KB |
Output is correct |
14 |
Correct |
47 ms |
22324 KB |
Output is correct |
15 |
Correct |
49 ms |
23968 KB |
Output is correct |
16 |
Correct |
45 ms |
22484 KB |
Output is correct |
17 |
Correct |
46 ms |
26492 KB |
Output is correct |
18 |
Correct |
53 ms |
22252 KB |
Output is correct |
19 |
Correct |
45 ms |
22164 KB |
Output is correct |
20 |
Correct |
47 ms |
22636 KB |
Output is correct |
21 |
Correct |
45 ms |
24048 KB |
Output is correct |
22 |
Correct |
46 ms |
22424 KB |
Output is correct |
23 |
Correct |
46 ms |
24244 KB |
Output is correct |
24 |
Correct |
46 ms |
22732 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
22372 KB |
Output is correct |
2 |
Correct |
44 ms |
24424 KB |
Output is correct |
3 |
Correct |
53 ms |
22224 KB |
Output is correct |
4 |
Correct |
51 ms |
22448 KB |
Output is correct |
5 |
Correct |
45 ms |
24268 KB |
Output is correct |
6 |
Correct |
45 ms |
22248 KB |
Output is correct |
7 |
Correct |
48 ms |
22408 KB |
Output is correct |
8 |
Correct |
46 ms |
22220 KB |
Output is correct |
9 |
Correct |
45 ms |
22728 KB |
Output is correct |
10 |
Correct |
46 ms |
22148 KB |
Output is correct |
11 |
Correct |
45 ms |
26632 KB |
Output is correct |
12 |
Correct |
45 ms |
22072 KB |
Output is correct |
13 |
Correct |
44 ms |
22692 KB |
Output is correct |
14 |
Correct |
47 ms |
22324 KB |
Output is correct |
15 |
Correct |
49 ms |
23968 KB |
Output is correct |
16 |
Correct |
45 ms |
22484 KB |
Output is correct |
17 |
Correct |
46 ms |
26492 KB |
Output is correct |
18 |
Correct |
53 ms |
22252 KB |
Output is correct |
19 |
Correct |
45 ms |
22164 KB |
Output is correct |
20 |
Correct |
47 ms |
22636 KB |
Output is correct |
21 |
Correct |
45 ms |
24048 KB |
Output is correct |
22 |
Correct |
46 ms |
22424 KB |
Output is correct |
23 |
Correct |
46 ms |
24244 KB |
Output is correct |
24 |
Correct |
46 ms |
22732 KB |
Output is correct |
25 |
Correct |
48 ms |
22388 KB |
Output is correct |
26 |
Correct |
47 ms |
22400 KB |
Output is correct |
27 |
Correct |
54 ms |
22504 KB |
Output is correct |
28 |
Correct |
46 ms |
22392 KB |
Output is correct |
29 |
Correct |
50 ms |
22148 KB |
Output is correct |
30 |
Correct |
47 ms |
22616 KB |
Output is correct |
31 |
Correct |
48 ms |
22428 KB |
Output is correct |
32 |
Correct |
47 ms |
22488 KB |
Output is correct |
33 |
Correct |
48 ms |
24528 KB |
Output is correct |
34 |
Correct |
47 ms |
21880 KB |
Output is correct |
35 |
Correct |
48 ms |
22644 KB |
Output is correct |
36 |
Correct |
49 ms |
22264 KB |
Output is correct |
37 |
Correct |
55 ms |
22136 KB |
Output is correct |
38 |
Correct |
50 ms |
22636 KB |
Output is correct |
39 |
Correct |
55 ms |
22804 KB |
Output is correct |
40 |
Correct |
55 ms |
22132 KB |
Output is correct |
41 |
Correct |
57 ms |
22376 KB |
Output is correct |
42 |
Correct |
59 ms |
25036 KB |
Output is correct |
43 |
Correct |
68 ms |
22160 KB |
Output is correct |
44 |
Correct |
58 ms |
22008 KB |
Output is correct |
45 |
Correct |
55 ms |
22816 KB |
Output is correct |
46 |
Correct |
57 ms |
24800 KB |
Output is correct |
47 |
Correct |
63 ms |
22632 KB |
Output is correct |
48 |
Correct |
62 ms |
22616 KB |
Output is correct |
49 |
Correct |
58 ms |
22692 KB |
Output is correct |
50 |
Correct |
55 ms |
22672 KB |
Output is correct |
51 |
Correct |
57 ms |
24680 KB |
Output is correct |
52 |
Correct |
60 ms |
26948 KB |
Output is correct |
53 |
Correct |
65 ms |
26380 KB |
Output is correct |
54 |
Correct |
60 ms |
24304 KB |
Output is correct |
55 |
Correct |
64 ms |
22796 KB |
Output is correct |
56 |
Correct |
81 ms |
23552 KB |
Output is correct |
57 |
Correct |
77 ms |
23240 KB |
Output is correct |
58 |
Correct |
71 ms |
25920 KB |
Output is correct |
59 |
Correct |
68 ms |
23492 KB |
Output is correct |
60 |
Correct |
67 ms |
25656 KB |
Output is correct |
61 |
Correct |
62 ms |
24956 KB |
Output is correct |
62 |
Correct |
63 ms |
24228 KB |
Output is correct |
63 |
Correct |
62 ms |
26588 KB |
Output is correct |
64 |
Correct |
65 ms |
22256 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
22372 KB |
Output is correct |
2 |
Correct |
44 ms |
24424 KB |
Output is correct |
3 |
Correct |
53 ms |
22224 KB |
Output is correct |
4 |
Correct |
51 ms |
22448 KB |
Output is correct |
5 |
Correct |
45 ms |
24268 KB |
Output is correct |
6 |
Correct |
45 ms |
22248 KB |
Output is correct |
7 |
Correct |
48 ms |
22408 KB |
Output is correct |
8 |
Correct |
46 ms |
22220 KB |
Output is correct |
9 |
Correct |
45 ms |
22728 KB |
Output is correct |
10 |
Correct |
46 ms |
22148 KB |
Output is correct |
11 |
Correct |
45 ms |
26632 KB |
Output is correct |
12 |
Correct |
45 ms |
22072 KB |
Output is correct |
13 |
Correct |
44 ms |
22692 KB |
Output is correct |
14 |
Correct |
47 ms |
22324 KB |
Output is correct |
15 |
Correct |
49 ms |
23968 KB |
Output is correct |
16 |
Correct |
45 ms |
22484 KB |
Output is correct |
17 |
Correct |
46 ms |
26492 KB |
Output is correct |
18 |
Correct |
53 ms |
22252 KB |
Output is correct |
19 |
Correct |
45 ms |
22164 KB |
Output is correct |
20 |
Correct |
47 ms |
22636 KB |
Output is correct |
21 |
Correct |
45 ms |
24048 KB |
Output is correct |
22 |
Correct |
46 ms |
22424 KB |
Output is correct |
23 |
Correct |
46 ms |
24244 KB |
Output is correct |
24 |
Correct |
46 ms |
22732 KB |
Output is correct |
25 |
Correct |
48 ms |
22388 KB |
Output is correct |
26 |
Correct |
47 ms |
22400 KB |
Output is correct |
27 |
Correct |
54 ms |
22504 KB |
Output is correct |
28 |
Correct |
46 ms |
22392 KB |
Output is correct |
29 |
Correct |
50 ms |
22148 KB |
Output is correct |
30 |
Correct |
47 ms |
22616 KB |
Output is correct |
31 |
Correct |
48 ms |
22428 KB |
Output is correct |
32 |
Correct |
47 ms |
22488 KB |
Output is correct |
33 |
Correct |
48 ms |
24528 KB |
Output is correct |
34 |
Correct |
47 ms |
21880 KB |
Output is correct |
35 |
Correct |
48 ms |
22644 KB |
Output is correct |
36 |
Correct |
49 ms |
22264 KB |
Output is correct |
37 |
Correct |
55 ms |
22136 KB |
Output is correct |
38 |
Correct |
50 ms |
22636 KB |
Output is correct |
39 |
Correct |
55 ms |
22804 KB |
Output is correct |
40 |
Correct |
55 ms |
22132 KB |
Output is correct |
41 |
Correct |
57 ms |
22376 KB |
Output is correct |
42 |
Correct |
59 ms |
25036 KB |
Output is correct |
43 |
Correct |
68 ms |
22160 KB |
Output is correct |
44 |
Correct |
58 ms |
22008 KB |
Output is correct |
45 |
Correct |
55 ms |
22816 KB |
Output is correct |
46 |
Correct |
57 ms |
24800 KB |
Output is correct |
47 |
Correct |
63 ms |
22632 KB |
Output is correct |
48 |
Correct |
62 ms |
22616 KB |
Output is correct |
49 |
Correct |
58 ms |
22692 KB |
Output is correct |
50 |
Correct |
55 ms |
22672 KB |
Output is correct |
51 |
Correct |
57 ms |
24680 KB |
Output is correct |
52 |
Correct |
60 ms |
26948 KB |
Output is correct |
53 |
Correct |
65 ms |
26380 KB |
Output is correct |
54 |
Correct |
60 ms |
24304 KB |
Output is correct |
55 |
Correct |
64 ms |
22796 KB |
Output is correct |
56 |
Correct |
81 ms |
23552 KB |
Output is correct |
57 |
Correct |
77 ms |
23240 KB |
Output is correct |
58 |
Correct |
71 ms |
25920 KB |
Output is correct |
59 |
Correct |
68 ms |
23492 KB |
Output is correct |
60 |
Correct |
67 ms |
25656 KB |
Output is correct |
61 |
Correct |
62 ms |
24956 KB |
Output is correct |
62 |
Correct |
63 ms |
24228 KB |
Output is correct |
63 |
Correct |
62 ms |
26588 KB |
Output is correct |
64 |
Correct |
65 ms |
22256 KB |
Output is correct |
65 |
Correct |
103 ms |
23860 KB |
Output is correct |
66 |
Correct |
97 ms |
26880 KB |
Output is correct |
67 |
Correct |
93 ms |
24404 KB |
Output is correct |
68 |
Correct |
96 ms |
26188 KB |
Output is correct |
69 |
Correct |
156 ms |
23732 KB |
Output is correct |
70 |
Correct |
142 ms |
23816 KB |
Output is correct |
71 |
Correct |
147 ms |
23744 KB |
Output is correct |
72 |
Correct |
144 ms |
27604 KB |
Output is correct |
73 |
Correct |
117 ms |
24768 KB |
Output is correct |
74 |
Correct |
125 ms |
25284 KB |
Output is correct |
75 |
Correct |
117 ms |
23772 KB |
Output is correct |
76 |
Correct |
131 ms |
24496 KB |
Output is correct |
77 |
Correct |
155 ms |
23716 KB |
Output is correct |
78 |
Correct |
129 ms |
30120 KB |
Output is correct |
79 |
Correct |
137 ms |
24284 KB |
Output is correct |
80 |
Correct |
124 ms |
23504 KB |
Output is correct |
81 |
Correct |
124 ms |
26440 KB |
Output is correct |
82 |
Correct |
120 ms |
24612 KB |
Output is correct |
83 |
Correct |
128 ms |
24568 KB |
Output is correct |
84 |
Correct |
114 ms |
24412 KB |
Output is correct |
85 |
Correct |
364 ms |
28396 KB |
Output is correct |
86 |
Correct |
287 ms |
23888 KB |
Output is correct |
87 |
Correct |
287 ms |
23948 KB |
Output is correct |
88 |
Correct |
283 ms |
23772 KB |
Output is correct |
89 |
Correct |
232 ms |
24804 KB |
Output is correct |
90 |
Correct |
226 ms |
23472 KB |
Output is correct |
91 |
Correct |
221 ms |
23892 KB |
Output is correct |
92 |
Correct |
228 ms |
25588 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
22372 KB |
Output is correct |
2 |
Correct |
44 ms |
24424 KB |
Output is correct |
3 |
Correct |
53 ms |
22224 KB |
Output is correct |
4 |
Correct |
51 ms |
22448 KB |
Output is correct |
5 |
Correct |
45 ms |
24268 KB |
Output is correct |
6 |
Correct |
45 ms |
22248 KB |
Output is correct |
7 |
Correct |
48 ms |
22408 KB |
Output is correct |
8 |
Correct |
46 ms |
22220 KB |
Output is correct |
9 |
Correct |
45 ms |
22728 KB |
Output is correct |
10 |
Correct |
46 ms |
22148 KB |
Output is correct |
11 |
Correct |
45 ms |
26632 KB |
Output is correct |
12 |
Correct |
45 ms |
22072 KB |
Output is correct |
13 |
Correct |
44 ms |
22692 KB |
Output is correct |
14 |
Correct |
47 ms |
22324 KB |
Output is correct |
15 |
Correct |
49 ms |
23968 KB |
Output is correct |
16 |
Correct |
45 ms |
22484 KB |
Output is correct |
17 |
Correct |
46 ms |
26492 KB |
Output is correct |
18 |
Correct |
53 ms |
22252 KB |
Output is correct |
19 |
Correct |
45 ms |
22164 KB |
Output is correct |
20 |
Correct |
47 ms |
22636 KB |
Output is correct |
21 |
Correct |
45 ms |
24048 KB |
Output is correct |
22 |
Correct |
46 ms |
22424 KB |
Output is correct |
23 |
Correct |
46 ms |
24244 KB |
Output is correct |
24 |
Correct |
46 ms |
22732 KB |
Output is correct |
25 |
Correct |
48 ms |
22388 KB |
Output is correct |
26 |
Correct |
47 ms |
22400 KB |
Output is correct |
27 |
Correct |
54 ms |
22504 KB |
Output is correct |
28 |
Correct |
46 ms |
22392 KB |
Output is correct |
29 |
Correct |
50 ms |
22148 KB |
Output is correct |
30 |
Correct |
47 ms |
22616 KB |
Output is correct |
31 |
Correct |
48 ms |
22428 KB |
Output is correct |
32 |
Correct |
47 ms |
22488 KB |
Output is correct |
33 |
Correct |
48 ms |
24528 KB |
Output is correct |
34 |
Correct |
47 ms |
21880 KB |
Output is correct |
35 |
Correct |
48 ms |
22644 KB |
Output is correct |
36 |
Correct |
49 ms |
22264 KB |
Output is correct |
37 |
Correct |
55 ms |
22136 KB |
Output is correct |
38 |
Correct |
50 ms |
22636 KB |
Output is correct |
39 |
Correct |
55 ms |
22804 KB |
Output is correct |
40 |
Correct |
55 ms |
22132 KB |
Output is correct |
41 |
Correct |
57 ms |
22376 KB |
Output is correct |
42 |
Correct |
59 ms |
25036 KB |
Output is correct |
43 |
Correct |
68 ms |
22160 KB |
Output is correct |
44 |
Correct |
58 ms |
22008 KB |
Output is correct |
45 |
Correct |
55 ms |
22816 KB |
Output is correct |
46 |
Correct |
57 ms |
24800 KB |
Output is correct |
47 |
Correct |
63 ms |
22632 KB |
Output is correct |
48 |
Correct |
62 ms |
22616 KB |
Output is correct |
49 |
Correct |
58 ms |
22692 KB |
Output is correct |
50 |
Correct |
55 ms |
22672 KB |
Output is correct |
51 |
Correct |
57 ms |
24680 KB |
Output is correct |
52 |
Correct |
60 ms |
26948 KB |
Output is correct |
53 |
Correct |
65 ms |
26380 KB |
Output is correct |
54 |
Correct |
60 ms |
24304 KB |
Output is correct |
55 |
Correct |
64 ms |
22796 KB |
Output is correct |
56 |
Correct |
81 ms |
23552 KB |
Output is correct |
57 |
Correct |
77 ms |
23240 KB |
Output is correct |
58 |
Correct |
71 ms |
25920 KB |
Output is correct |
59 |
Correct |
68 ms |
23492 KB |
Output is correct |
60 |
Correct |
67 ms |
25656 KB |
Output is correct |
61 |
Correct |
62 ms |
24956 KB |
Output is correct |
62 |
Correct |
63 ms |
24228 KB |
Output is correct |
63 |
Correct |
62 ms |
26588 KB |
Output is correct |
64 |
Correct |
65 ms |
22256 KB |
Output is correct |
65 |
Correct |
103 ms |
23860 KB |
Output is correct |
66 |
Correct |
97 ms |
26880 KB |
Output is correct |
67 |
Correct |
93 ms |
24404 KB |
Output is correct |
68 |
Correct |
96 ms |
26188 KB |
Output is correct |
69 |
Correct |
156 ms |
23732 KB |
Output is correct |
70 |
Correct |
142 ms |
23816 KB |
Output is correct |
71 |
Correct |
147 ms |
23744 KB |
Output is correct |
72 |
Correct |
144 ms |
27604 KB |
Output is correct |
73 |
Correct |
117 ms |
24768 KB |
Output is correct |
74 |
Correct |
125 ms |
25284 KB |
Output is correct |
75 |
Correct |
117 ms |
23772 KB |
Output is correct |
76 |
Correct |
131 ms |
24496 KB |
Output is correct |
77 |
Correct |
155 ms |
23716 KB |
Output is correct |
78 |
Correct |
129 ms |
30120 KB |
Output is correct |
79 |
Correct |
137 ms |
24284 KB |
Output is correct |
80 |
Correct |
124 ms |
23504 KB |
Output is correct |
81 |
Correct |
124 ms |
26440 KB |
Output is correct |
82 |
Correct |
120 ms |
24612 KB |
Output is correct |
83 |
Correct |
128 ms |
24568 KB |
Output is correct |
84 |
Correct |
114 ms |
24412 KB |
Output is correct |
85 |
Correct |
364 ms |
28396 KB |
Output is correct |
86 |
Correct |
287 ms |
23888 KB |
Output is correct |
87 |
Correct |
287 ms |
23948 KB |
Output is correct |
88 |
Correct |
283 ms |
23772 KB |
Output is correct |
89 |
Correct |
232 ms |
24804 KB |
Output is correct |
90 |
Correct |
226 ms |
23472 KB |
Output is correct |
91 |
Correct |
221 ms |
23892 KB |
Output is correct |
92 |
Correct |
228 ms |
25588 KB |
Output is correct |
93 |
Execution timed out |
3077 ms |
23916 KB |
Time limit exceeded |
94 |
Halted |
0 ms |
0 KB |
- |