답안 #1011150

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1011150	2024-06-30T00:53:56 Z	Oz121	Amusement Park (CEOI19_amusementpark)	Java 11	100 / 100	2538 ms	31664 KB

amusementpark

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;
                }
            }
        }

        int[] bc = new int[1<<num];
        for (int i = 0;i<(1<<num);i++) bc[i] = Integer.bitCount(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 = 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]+((bc[j]%2==0) ? -1 : 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);
    }
}

Subtask #1
7.0 / 7.0

#	결과	실행 시간	메모리	Grader output
1	Correct	46 ms	22272 KB	Output is correct
2	Correct	44 ms	26376 KB	Output is correct
3	Correct	49 ms	22744 KB	Output is correct
4	Correct	45 ms	22364 KB	Output is correct
5	Correct	45 ms	22488 KB	Output is correct
6	Correct	44 ms	22356 KB	Output is correct
7	Correct	46 ms	24492 KB	Output is correct
8	Correct	44 ms	22256 KB	Output is correct

Subtask #2
12.0 / 12.0

#	결과	실행 시간	메모리	Grader output
1	Correct	46 ms	22272 KB	Output is correct
2	Correct	44 ms	26376 KB	Output is correct
3	Correct	49 ms	22744 KB	Output is correct
4	Correct	45 ms	22364 KB	Output is correct
5	Correct	45 ms	22488 KB	Output is correct
6	Correct	44 ms	22356 KB	Output is correct
7	Correct	46 ms	24492 KB	Output is correct
8	Correct	44 ms	22256 KB	Output is correct
9	Correct	45 ms	22148 KB	Output is correct
10	Correct	45 ms	22128 KB	Output is correct
11	Correct	50 ms	25956 KB	Output is correct
12	Correct	47 ms	22412 KB	Output is correct
13	Correct	45 ms	22196 KB	Output is correct
14	Correct	45 ms	24672 KB	Output is correct
15	Correct	46 ms	26820 KB	Output is correct
16	Correct	46 ms	22612 KB	Output is correct
17	Correct	45 ms	26552 KB	Output is correct
18	Correct	46 ms	22768 KB	Output is correct
19	Correct	45 ms	22572 KB	Output is correct
20	Correct	48 ms	22308 KB	Output is correct
21	Correct	46 ms	24228 KB	Output is correct
22	Correct	45 ms	22580 KB	Output is correct
23	Correct	45 ms	22416 KB	Output is correct
24	Correct	45 ms	21932 KB	Output is correct

Subtask #3
23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	46 ms	22272 KB	Output is correct
2	Correct	44 ms	26376 KB	Output is correct
3	Correct	49 ms	22744 KB	Output is correct
4	Correct	45 ms	22364 KB	Output is correct
5	Correct	45 ms	22488 KB	Output is correct
6	Correct	44 ms	22356 KB	Output is correct
7	Correct	46 ms	24492 KB	Output is correct
8	Correct	44 ms	22256 KB	Output is correct
9	Correct	45 ms	22148 KB	Output is correct
10	Correct	45 ms	22128 KB	Output is correct
11	Correct	50 ms	25956 KB	Output is correct
12	Correct	47 ms	22412 KB	Output is correct
13	Correct	45 ms	22196 KB	Output is correct
14	Correct	45 ms	24672 KB	Output is correct
15	Correct	46 ms	26820 KB	Output is correct
16	Correct	46 ms	22612 KB	Output is correct
17	Correct	45 ms	26552 KB	Output is correct
18	Correct	46 ms	22768 KB	Output is correct
19	Correct	45 ms	22572 KB	Output is correct
20	Correct	48 ms	22308 KB	Output is correct
21	Correct	46 ms	24228 KB	Output is correct
22	Correct	45 ms	22580 KB	Output is correct
23	Correct	45 ms	22416 KB	Output is correct
24	Correct	45 ms	21932 KB	Output is correct
25	Correct	52 ms	22340 KB	Output is correct
26	Correct	50 ms	22604 KB	Output is correct
27	Correct	49 ms	21920 KB	Output is correct
28	Correct	58 ms	22276 KB	Output is correct
29	Correct	48 ms	22416 KB	Output is correct
30	Correct	42 ms	22392 KB	Output is correct
31	Correct	46 ms	24772 KB	Output is correct
32	Correct	45 ms	22176 KB	Output is correct
33	Correct	50 ms	24680 KB	Output is correct
34	Correct	51 ms	24552 KB	Output is correct
35	Correct	49 ms	24344 KB	Output is correct
36	Correct	48 ms	22344 KB	Output is correct
37	Correct	49 ms	24116 KB	Output is correct
38	Correct	47 ms	22524 KB	Output is correct
39	Correct	51 ms	22652 KB	Output is correct
40	Correct	54 ms	24584 KB	Output is correct
41	Correct	57 ms	22380 KB	Output is correct
42	Correct	54 ms	22452 KB	Output is correct
43	Correct	55 ms	22616 KB	Output is correct
44	Correct	61 ms	22740 KB	Output is correct
45	Correct	61 ms	22740 KB	Output is correct
46	Correct	59 ms	24824 KB	Output is correct
47	Correct	59 ms	22632 KB	Output is correct
48	Correct	59 ms	22688 KB	Output is correct
49	Correct	55 ms	26592 KB	Output is correct
50	Correct	57 ms	22908 KB	Output is correct
51	Correct	57 ms	22380 KB	Output is correct
52	Correct	60 ms	26596 KB	Output is correct
53	Correct	59 ms	24468 KB	Output is correct
54	Correct	59 ms	22744 KB	Output is correct
55	Correct	63 ms	22424 KB	Output is correct
56	Correct	70 ms	23204 KB	Output is correct
57	Correct	69 ms	27336 KB	Output is correct
58	Correct	70 ms	23052 KB	Output is correct
59	Correct	76 ms	27432 KB	Output is correct
60	Correct	79 ms	23188 KB	Output is correct
61	Correct	63 ms	22396 KB	Output is correct
62	Correct	59 ms	22568 KB	Output is correct
63	Correct	61 ms	22676 KB	Output is correct
64	Correct	64 ms	24660 KB	Output is correct

Subtask #4
21.0 / 21.0

#	결과	실행 시간	메모리	Grader output
1	Correct	46 ms	22272 KB	Output is correct
2	Correct	44 ms	26376 KB	Output is correct
3	Correct	49 ms	22744 KB	Output is correct
4	Correct	45 ms	22364 KB	Output is correct
5	Correct	45 ms	22488 KB	Output is correct
6	Correct	44 ms	22356 KB	Output is correct
7	Correct	46 ms	24492 KB	Output is correct
8	Correct	44 ms	22256 KB	Output is correct
9	Correct	45 ms	22148 KB	Output is correct
10	Correct	45 ms	22128 KB	Output is correct
11	Correct	50 ms	25956 KB	Output is correct
12	Correct	47 ms	22412 KB	Output is correct
13	Correct	45 ms	22196 KB	Output is correct
14	Correct	45 ms	24672 KB	Output is correct
15	Correct	46 ms	26820 KB	Output is correct
16	Correct	46 ms	22612 KB	Output is correct
17	Correct	45 ms	26552 KB	Output is correct
18	Correct	46 ms	22768 KB	Output is correct
19	Correct	45 ms	22572 KB	Output is correct
20	Correct	48 ms	22308 KB	Output is correct
21	Correct	46 ms	24228 KB	Output is correct
22	Correct	45 ms	22580 KB	Output is correct
23	Correct	45 ms	22416 KB	Output is correct
24	Correct	45 ms	21932 KB	Output is correct
25	Correct	52 ms	22340 KB	Output is correct
26	Correct	50 ms	22604 KB	Output is correct
27	Correct	49 ms	21920 KB	Output is correct
28	Correct	58 ms	22276 KB	Output is correct
29	Correct	48 ms	22416 KB	Output is correct
30	Correct	42 ms	22392 KB	Output is correct
31	Correct	46 ms	24772 KB	Output is correct
32	Correct	45 ms	22176 KB	Output is correct
33	Correct	50 ms	24680 KB	Output is correct
34	Correct	51 ms	24552 KB	Output is correct
35	Correct	49 ms	24344 KB	Output is correct
36	Correct	48 ms	22344 KB	Output is correct
37	Correct	49 ms	24116 KB	Output is correct
38	Correct	47 ms	22524 KB	Output is correct
39	Correct	51 ms	22652 KB	Output is correct
40	Correct	54 ms	24584 KB	Output is correct
41	Correct	57 ms	22380 KB	Output is correct
42	Correct	54 ms	22452 KB	Output is correct
43	Correct	55 ms	22616 KB	Output is correct
44	Correct	61 ms	22740 KB	Output is correct
45	Correct	61 ms	22740 KB	Output is correct
46	Correct	59 ms	24824 KB	Output is correct
47	Correct	59 ms	22632 KB	Output is correct
48	Correct	59 ms	22688 KB	Output is correct
49	Correct	55 ms	26592 KB	Output is correct
50	Correct	57 ms	22908 KB	Output is correct
51	Correct	57 ms	22380 KB	Output is correct
52	Correct	60 ms	26596 KB	Output is correct
53	Correct	59 ms	24468 KB	Output is correct
54	Correct	59 ms	22744 KB	Output is correct
55	Correct	63 ms	22424 KB	Output is correct
56	Correct	70 ms	23204 KB	Output is correct
57	Correct	69 ms	27336 KB	Output is correct
58	Correct	70 ms	23052 KB	Output is correct
59	Correct	76 ms	27432 KB	Output is correct
60	Correct	79 ms	23188 KB	Output is correct
61	Correct	63 ms	22396 KB	Output is correct
62	Correct	59 ms	22568 KB	Output is correct
63	Correct	61 ms	22676 KB	Output is correct
64	Correct	64 ms	24660 KB	Output is correct
65	Correct	96 ms	28060 KB	Output is correct
66	Correct	95 ms	25012 KB	Output is correct
67	Correct	95 ms	26880 KB	Output is correct
68	Correct	94 ms	28284 KB	Output is correct
69	Correct	105 ms	24088 KB	Output is correct
70	Correct	99 ms	25916 KB	Output is correct
71	Correct	98 ms	25908 KB	Output is correct
72	Correct	121 ms	23676 KB	Output is correct
73	Correct	96 ms	25152 KB	Output is correct
74	Correct	99 ms	23584 KB	Output is correct
75	Correct	86 ms	24212 KB	Output is correct
76	Correct	102 ms	23744 KB	Output is correct
77	Correct	98 ms	23984 KB	Output is correct
78	Correct	100 ms	23660 KB	Output is correct
79	Correct	110 ms	24572 KB	Output is correct
80	Correct	102 ms	23748 KB	Output is correct
81	Correct	114 ms	24600 KB	Output is correct
82	Correct	116 ms	24308 KB	Output is correct
83	Correct	106 ms	26416 KB	Output is correct
84	Correct	114 ms	24584 KB	Output is correct
85	Correct	130 ms	23892 KB	Output is correct
86	Correct	130 ms	23436 KB	Output is correct
87	Correct	116 ms	23816 KB	Output is correct
88	Correct	130 ms	24360 KB	Output is correct
89	Correct	117 ms	25128 KB	Output is correct
90	Correct	105 ms	24036 KB	Output is correct
91	Correct	112 ms	24124 KB	Output is correct
92	Correct	125 ms	24064 KB	Output is correct

Subtask #5
37.0 / 37.0

#	결과	실행 시간	메모리	Grader output
1	Correct	46 ms	22272 KB	Output is correct
2	Correct	44 ms	26376 KB	Output is correct
3	Correct	49 ms	22744 KB	Output is correct
4	Correct	45 ms	22364 KB	Output is correct
5	Correct	45 ms	22488 KB	Output is correct
6	Correct	44 ms	22356 KB	Output is correct
7	Correct	46 ms	24492 KB	Output is correct
8	Correct	44 ms	22256 KB	Output is correct
9	Correct	45 ms	22148 KB	Output is correct
10	Correct	45 ms	22128 KB	Output is correct
11	Correct	50 ms	25956 KB	Output is correct
12	Correct	47 ms	22412 KB	Output is correct
13	Correct	45 ms	22196 KB	Output is correct
14	Correct	45 ms	24672 KB	Output is correct
15	Correct	46 ms	26820 KB	Output is correct
16	Correct	46 ms	22612 KB	Output is correct
17	Correct	45 ms	26552 KB	Output is correct
18	Correct	46 ms	22768 KB	Output is correct
19	Correct	45 ms	22572 KB	Output is correct
20	Correct	48 ms	22308 KB	Output is correct
21	Correct	46 ms	24228 KB	Output is correct
22	Correct	45 ms	22580 KB	Output is correct
23	Correct	45 ms	22416 KB	Output is correct
24	Correct	45 ms	21932 KB	Output is correct
25	Correct	52 ms	22340 KB	Output is correct
26	Correct	50 ms	22604 KB	Output is correct
27	Correct	49 ms	21920 KB	Output is correct
28	Correct	58 ms	22276 KB	Output is correct
29	Correct	48 ms	22416 KB	Output is correct
30	Correct	42 ms	22392 KB	Output is correct
31	Correct	46 ms	24772 KB	Output is correct
32	Correct	45 ms	22176 KB	Output is correct
33	Correct	50 ms	24680 KB	Output is correct
34	Correct	51 ms	24552 KB	Output is correct
35	Correct	49 ms	24344 KB	Output is correct
36	Correct	48 ms	22344 KB	Output is correct
37	Correct	49 ms	24116 KB	Output is correct
38	Correct	47 ms	22524 KB	Output is correct
39	Correct	51 ms	22652 KB	Output is correct
40	Correct	54 ms	24584 KB	Output is correct
41	Correct	57 ms	22380 KB	Output is correct
42	Correct	54 ms	22452 KB	Output is correct
43	Correct	55 ms	22616 KB	Output is correct
44	Correct	61 ms	22740 KB	Output is correct
45	Correct	61 ms	22740 KB	Output is correct
46	Correct	59 ms	24824 KB	Output is correct
47	Correct	59 ms	22632 KB	Output is correct
48	Correct	59 ms	22688 KB	Output is correct
49	Correct	55 ms	26592 KB	Output is correct
50	Correct	57 ms	22908 KB	Output is correct
51	Correct	57 ms	22380 KB	Output is correct
52	Correct	60 ms	26596 KB	Output is correct
53	Correct	59 ms	24468 KB	Output is correct
54	Correct	59 ms	22744 KB	Output is correct
55	Correct	63 ms	22424 KB	Output is correct
56	Correct	70 ms	23204 KB	Output is correct
57	Correct	69 ms	27336 KB	Output is correct
58	Correct	70 ms	23052 KB	Output is correct
59	Correct	76 ms	27432 KB	Output is correct
60	Correct	79 ms	23188 KB	Output is correct
61	Correct	63 ms	22396 KB	Output is correct
62	Correct	59 ms	22568 KB	Output is correct
63	Correct	61 ms	22676 KB	Output is correct
64	Correct	64 ms	24660 KB	Output is correct
65	Correct	96 ms	28060 KB	Output is correct
66	Correct	95 ms	25012 KB	Output is correct
67	Correct	95 ms	26880 KB	Output is correct
68	Correct	94 ms	28284 KB	Output is correct
69	Correct	105 ms	24088 KB	Output is correct
70	Correct	99 ms	25916 KB	Output is correct
71	Correct	98 ms	25908 KB	Output is correct
72	Correct	121 ms	23676 KB	Output is correct
73	Correct	96 ms	25152 KB	Output is correct
74	Correct	99 ms	23584 KB	Output is correct
75	Correct	86 ms	24212 KB	Output is correct
76	Correct	102 ms	23744 KB	Output is correct
77	Correct	98 ms	23984 KB	Output is correct
78	Correct	100 ms	23660 KB	Output is correct
79	Correct	110 ms	24572 KB	Output is correct
80	Correct	102 ms	23748 KB	Output is correct
81	Correct	114 ms	24600 KB	Output is correct
82	Correct	116 ms	24308 KB	Output is correct
83	Correct	106 ms	26416 KB	Output is correct
84	Correct	114 ms	24584 KB	Output is correct
85	Correct	130 ms	23892 KB	Output is correct
86	Correct	130 ms	23436 KB	Output is correct
87	Correct	116 ms	23816 KB	Output is correct
88	Correct	130 ms	24360 KB	Output is correct
89	Correct	117 ms	25128 KB	Output is correct
90	Correct	105 ms	24036 KB	Output is correct
91	Correct	112 ms	24124 KB	Output is correct
92	Correct	125 ms	24064 KB	Output is correct
93	Correct	1315 ms	27132 KB	Output is correct
94	Correct	1333 ms	27668 KB	Output is correct
95	Correct	1324 ms	26932 KB	Output is correct
96	Correct	1046 ms	28420 KB	Output is correct
97	Correct	960 ms	27240 KB	Output is correct
98	Correct	1060 ms	31664 KB	Output is correct
99	Correct	168 ms	23664 KB	Output is correct
100	Correct	161 ms	23868 KB	Output is correct
101	Correct	150 ms	23832 KB	Output is correct
102	Correct	153 ms	25972 KB	Output is correct
103	Correct	892 ms	25968 KB	Output is correct
104	Correct	527 ms	24948 KB	Output is correct
105	Correct	410 ms	26396 KB	Output is correct
106	Correct	319 ms	25280 KB	Output is correct
107	Correct	2538 ms	26500 KB	Output is correct
108	Correct	1004 ms	27452 KB	Output is correct
109	Correct	743 ms	27320 KB	Output is correct
110	Correct	673 ms	27516 KB	Output is correct
111	Correct	144 ms	24816 KB	Output is correct
112	Correct	146 ms	24884 KB	Output is correct
113	Correct	147 ms	27208 KB	Output is correct
114	Correct	259 ms	23772 KB	Output is correct
115	Correct	213 ms	23524 KB	Output is correct
116	Correct	225 ms	24032 KB	Output is correct
117	Correct	244 ms	24140 KB	Output is correct
118	Correct	191 ms	24752 KB	Output is correct
119	Correct	193 ms	23352 KB	Output is correct
120	Correct	200 ms	23872 KB	Output is correct
121	Correct	208 ms	23804 KB	Output is correct
122	Correct	281 ms	28748 KB	Output is correct
123	Correct	274 ms	24228 KB	Output is correct
124	Correct	296 ms	24568 KB	Output is correct
125	Correct	270 ms	27000 KB	Output is correct
126	Correct	283 ms	24660 KB	Output is correct
127	Correct	288 ms	24724 KB	Output is correct
128	Correct	270 ms	24668 KB	Output is correct
129	Correct	262 ms	24408 KB	Output is correct
130	Correct	259 ms	24764 KB	Output is correct
131	Correct	677 ms	24544 KB	Output is correct
132	Correct	517 ms	26704 KB	Output is correct
133	Correct	531 ms	24896 KB	Output is correct
134	Correct	550 ms	24800 KB	Output is correct
135	Correct	408 ms	24560 KB	Output is correct
136	Correct	444 ms	24528 KB	Output is correct
137	Correct	428 ms	26764 KB	Output is correct
138	Correct	445 ms	24548 KB	Output is correct
139	Correct	365 ms	26972 KB	Output is correct
140	Correct	363 ms	24344 KB	Output is correct
141	Correct	374 ms	27080 KB	Output is correct
142	Correct	635 ms	25508 KB	Output is correct
143	Correct	695 ms	27416 KB	Output is correct
144	Correct	645 ms	27048 KB	Output is correct
145	Correct	621 ms	27152 KB	Output is correct
146	Correct	558 ms	27392 KB	Output is correct
147	Correct	506 ms	29648 KB	Output is correct
148	Correct	659 ms	27144 KB	Output is correct
149	Correct	588 ms	27528 KB	Output is correct
150	Correct	626 ms	27532 KB	Output is correct
151	Correct	757 ms	29360 KB	Output is correct
152	Correct	737 ms	27528 KB	Output is correct
153	Correct	1056 ms	27164 KB	Output is correct
154	Correct	1072 ms	27268 KB	Output is correct
155	Correct	1171 ms	27112 KB	Output is correct
156	Correct	1171 ms	27608 KB	Output is correct
157	Correct	1020 ms	28996 KB	Output is correct
158	Correct	1089 ms	27956 KB	Output is correct
159	Correct	948 ms	27240 KB	Output is correct
160	Correct	869 ms	27312 KB	Output is correct
161	Correct	934 ms	27352 KB	Output is correct
162	Correct	781 ms	27684 KB	Output is correct
163	Correct	769 ms	27444 KB	Output is correct
164	Correct	767 ms	27228 KB	Output is correct
165	Correct	784 ms	27120 KB	Output is correct
166	Correct	781 ms	27184 KB	Output is correct
167	Correct	783 ms	27668 KB	Output is correct

답안 #1011150

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 37.0 / 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
37.0 / 37.0