답안 #521307

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
521307	2022-02-01T16:10:33 Z	Cantfindme	Amusement Park (CEOI19_amusementpark)	C++17	100 / 100	2672 ms	4648 KB

amusementpark

#include <bits/stdc++.h>
using namespace std;
#define int long long
typedef pair<int,int> pi;
#define f first
#define s second
#define FAST ios_base::sync_with_stdio(0); cin.tie(0);
#define all(x) x.begin(),x.end() 

const int maxn = 25;
const int mod = 998244353; 
const int INF = LLONG_MAX/2;

int n, m;
int mat[maxn][maxn];
int con[1 << 20], dp[1<<20];

int faste(int x, int exp) {
	int base = x, ans = 1;
	while (exp) {
		if (exp & 1) ans = (ans * base) % mod;
		base = (base * base) % mod;
		exp >>= 1;
	}
	return ans;
}

int32_t main() {
	FAST
	cin >> n >> m;
	
	for (int i =0;i<m;i++) {
		int a,b; cin >> a >> b;
		a--; b--;
		mat[a][b] = mat[b][a] = 1;
	}
	
	for (int bm = 0; bm < (1 << n); bm++) {
		for (int i = 0;i <n;i++) if (bm & (1 << i)) {
			for (int j =0;j<n;j++) if (bm & (1 << j)) {
				if (mat[i][j]) con[bm] = 1;
			}
		}
	}
	
	dp[0] = 1; //No. of ways to form a DAG with bm
	
	//O(3^N)
	for (int bm = 1; bm < (1 << n); bm++) {
		for (int submask = bm; submask; submask = (submask - 1) & bm) {
			//Fix submask to have 0 in-degree
			if (con[submask]) continue;
			
			//PIE
			if (__builtin_popcount(submask) % 2) {
				dp[bm] += dp[bm ^ submask];
				dp[bm] %= mod;
			} else {
				dp[bm] = (dp[bm] - dp[bm ^ submask] + mod) % mod;
			}
		}
	}
	
	cout << dp[(1<<n)-1] * m % mod * faste(2, mod-2) % mod;
}

Subtask #1
7.0 / 7.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	316 KB	Output is correct
3	Correct	1 ms	332 KB	Output is correct
4	Correct	0 ms	316 KB	Output is correct
5	Correct	1 ms	324 KB	Output is correct
6	Correct	0 ms	204 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	0 ms	320 KB	Output is correct

Subtask #2
12.0 / 12.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	316 KB	Output is correct
3	Correct	1 ms	332 KB	Output is correct
4	Correct	0 ms	316 KB	Output is correct
5	Correct	1 ms	324 KB	Output is correct
6	Correct	0 ms	204 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	0 ms	320 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	0 ms	332 KB	Output is correct
11	Correct	1 ms	316 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	0 ms	204 KB	Output is correct
17	Correct	1 ms	204 KB	Output is correct
18	Correct	1 ms	204 KB	Output is correct
19	Correct	1 ms	204 KB	Output is correct
20	Correct	1 ms	332 KB	Output is correct
21	Correct	1 ms	204 KB	Output is correct
22	Correct	1 ms	204 KB	Output is correct
23	Correct	1 ms	312 KB	Output is correct
24	Correct	1 ms	320 KB	Output is correct

Subtask #3
23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	316 KB	Output is correct
3	Correct	1 ms	332 KB	Output is correct
4	Correct	0 ms	316 KB	Output is correct
5	Correct	1 ms	324 KB	Output is correct
6	Correct	0 ms	204 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	0 ms	320 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	0 ms	332 KB	Output is correct
11	Correct	1 ms	316 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	0 ms	204 KB	Output is correct
17	Correct	1 ms	204 KB	Output is correct
18	Correct	1 ms	204 KB	Output is correct
19	Correct	1 ms	204 KB	Output is correct
20	Correct	1 ms	332 KB	Output is correct
21	Correct	1 ms	204 KB	Output is correct
22	Correct	1 ms	204 KB	Output is correct
23	Correct	1 ms	312 KB	Output is correct
24	Correct	1 ms	320 KB	Output is correct
25	Correct	0 ms	204 KB	Output is correct
26	Correct	1 ms	316 KB	Output is correct
27	Correct	1 ms	320 KB	Output is correct
28	Correct	1 ms	204 KB	Output is correct
29	Correct	0 ms	320 KB	Output is correct
30	Correct	1 ms	332 KB	Output is correct
31	Correct	0 ms	332 KB	Output is correct
32	Correct	1 ms	316 KB	Output is correct
33	Correct	1 ms	204 KB	Output is correct
34	Correct	1 ms	204 KB	Output is correct
35	Correct	1 ms	332 KB	Output is correct
36	Correct	1 ms	320 KB	Output is correct
37	Correct	1 ms	316 KB	Output is correct
38	Correct	1 ms	332 KB	Output is correct
39	Correct	1 ms	332 KB	Output is correct
40	Correct	1 ms	332 KB	Output is correct
41	Correct	1 ms	320 KB	Output is correct
42	Correct	1 ms	316 KB	Output is correct
43	Correct	1 ms	332 KB	Output is correct
44	Correct	1 ms	332 KB	Output is correct
45	Correct	1 ms	332 KB	Output is correct
46	Correct	1 ms	332 KB	Output is correct
47	Correct	1 ms	332 KB	Output is correct
48	Correct	1 ms	332 KB	Output is correct
49	Correct	1 ms	332 KB	Output is correct
50	Correct	1 ms	204 KB	Output is correct
51	Correct	1 ms	332 KB	Output is correct
52	Correct	1 ms	332 KB	Output is correct
53	Correct	2 ms	332 KB	Output is correct
54	Correct	1 ms	332 KB	Output is correct
55	Correct	1 ms	332 KB	Output is correct
56	Correct	1 ms	332 KB	Output is correct
57	Correct	2 ms	332 KB	Output is correct
58	Correct	1 ms	332 KB	Output is correct
59	Correct	1 ms	332 KB	Output is correct
60	Correct	1 ms	332 KB	Output is correct
61	Correct	1 ms	312 KB	Output is correct
62	Correct	1 ms	332 KB	Output is correct
63	Correct	1 ms	332 KB	Output is correct
64	Correct	1 ms	332 KB	Output is correct

Subtask #4
21.0 / 21.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	316 KB	Output is correct
3	Correct	1 ms	332 KB	Output is correct
4	Correct	0 ms	316 KB	Output is correct
5	Correct	1 ms	324 KB	Output is correct
6	Correct	0 ms	204 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	0 ms	320 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	0 ms	332 KB	Output is correct
11	Correct	1 ms	316 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	0 ms	204 KB	Output is correct
17	Correct	1 ms	204 KB	Output is correct
18	Correct	1 ms	204 KB	Output is correct
19	Correct	1 ms	204 KB	Output is correct
20	Correct	1 ms	332 KB	Output is correct
21	Correct	1 ms	204 KB	Output is correct
22	Correct	1 ms	204 KB	Output is correct
23	Correct	1 ms	312 KB	Output is correct
24	Correct	1 ms	320 KB	Output is correct
25	Correct	0 ms	204 KB	Output is correct
26	Correct	1 ms	316 KB	Output is correct
27	Correct	1 ms	320 KB	Output is correct
28	Correct	1 ms	204 KB	Output is correct
29	Correct	0 ms	320 KB	Output is correct
30	Correct	1 ms	332 KB	Output is correct
31	Correct	0 ms	332 KB	Output is correct
32	Correct	1 ms	316 KB	Output is correct
33	Correct	1 ms	204 KB	Output is correct
34	Correct	1 ms	204 KB	Output is correct
35	Correct	1 ms	332 KB	Output is correct
36	Correct	1 ms	320 KB	Output is correct
37	Correct	1 ms	316 KB	Output is correct
38	Correct	1 ms	332 KB	Output is correct
39	Correct	1 ms	332 KB	Output is correct
40	Correct	1 ms	332 KB	Output is correct
41	Correct	1 ms	320 KB	Output is correct
42	Correct	1 ms	316 KB	Output is correct
43	Correct	1 ms	332 KB	Output is correct
44	Correct	1 ms	332 KB	Output is correct
45	Correct	1 ms	332 KB	Output is correct
46	Correct	1 ms	332 KB	Output is correct
47	Correct	1 ms	332 KB	Output is correct
48	Correct	1 ms	332 KB	Output is correct
49	Correct	1 ms	332 KB	Output is correct
50	Correct	1 ms	204 KB	Output is correct
51	Correct	1 ms	332 KB	Output is correct
52	Correct	1 ms	332 KB	Output is correct
53	Correct	2 ms	332 KB	Output is correct
54	Correct	1 ms	332 KB	Output is correct
55	Correct	1 ms	332 KB	Output is correct
56	Correct	1 ms	332 KB	Output is correct
57	Correct	2 ms	332 KB	Output is correct
58	Correct	1 ms	332 KB	Output is correct
59	Correct	1 ms	332 KB	Output is correct
60	Correct	1 ms	332 KB	Output is correct
61	Correct	1 ms	312 KB	Output is correct
62	Correct	1 ms	332 KB	Output is correct
63	Correct	1 ms	332 KB	Output is correct
64	Correct	1 ms	332 KB	Output is correct
65	Correct	17 ms	588 KB	Output is correct
66	Correct	17 ms	508 KB	Output is correct
67	Correct	16 ms	588 KB	Output is correct
68	Correct	16 ms	520 KB	Output is correct
69	Correct	29 ms	540 KB	Output is correct
70	Correct	28 ms	516 KB	Output is correct
71	Correct	30 ms	476 KB	Output is correct
72	Correct	21 ms	524 KB	Output is correct
73	Correct	19 ms	516 KB	Output is correct
74	Correct	19 ms	568 KB	Output is correct
75	Correct	18 ms	588 KB	Output is correct
76	Correct	19 ms	444 KB	Output is correct
77	Correct	48 ms	708 KB	Output is correct
78	Correct	46 ms	756 KB	Output is correct
79	Correct	50 ms	804 KB	Output is correct
80	Correct	43 ms	804 KB	Output is correct
81	Correct	41 ms	836 KB	Output is correct
82	Correct	39 ms	836 KB	Output is correct
83	Correct	38 ms	708 KB	Output is correct
84	Correct	39 ms	840 KB	Output is correct
85	Correct	79 ms	740 KB	Output is correct
86	Correct	60 ms	836 KB	Output is correct
87	Correct	62 ms	764 KB	Output is correct
88	Correct	63 ms	708 KB	Output is correct
89	Correct	52 ms	712 KB	Output is correct
90	Correct	49 ms	828 KB	Output is correct
91	Correct	50 ms	820 KB	Output is correct
92	Correct	51 ms	680 KB	Output is correct

Subtask #5
37.0 / 37.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	316 KB	Output is correct
3	Correct	1 ms	332 KB	Output is correct
4	Correct	0 ms	316 KB	Output is correct
5	Correct	1 ms	324 KB	Output is correct
6	Correct	0 ms	204 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	0 ms	320 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	0 ms	332 KB	Output is correct
11	Correct	1 ms	316 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	0 ms	204 KB	Output is correct
17	Correct	1 ms	204 KB	Output is correct
18	Correct	1 ms	204 KB	Output is correct
19	Correct	1 ms	204 KB	Output is correct
20	Correct	1 ms	332 KB	Output is correct
21	Correct	1 ms	204 KB	Output is correct
22	Correct	1 ms	204 KB	Output is correct
23	Correct	1 ms	312 KB	Output is correct
24	Correct	1 ms	320 KB	Output is correct
25	Correct	0 ms	204 KB	Output is correct
26	Correct	1 ms	316 KB	Output is correct
27	Correct	1 ms	320 KB	Output is correct
28	Correct	1 ms	204 KB	Output is correct
29	Correct	0 ms	320 KB	Output is correct
30	Correct	1 ms	332 KB	Output is correct
31	Correct	0 ms	332 KB	Output is correct
32	Correct	1 ms	316 KB	Output is correct
33	Correct	1 ms	204 KB	Output is correct
34	Correct	1 ms	204 KB	Output is correct
35	Correct	1 ms	332 KB	Output is correct
36	Correct	1 ms	320 KB	Output is correct
37	Correct	1 ms	316 KB	Output is correct
38	Correct	1 ms	332 KB	Output is correct
39	Correct	1 ms	332 KB	Output is correct
40	Correct	1 ms	332 KB	Output is correct
41	Correct	1 ms	320 KB	Output is correct
42	Correct	1 ms	316 KB	Output is correct
43	Correct	1 ms	332 KB	Output is correct
44	Correct	1 ms	332 KB	Output is correct
45	Correct	1 ms	332 KB	Output is correct
46	Correct	1 ms	332 KB	Output is correct
47	Correct	1 ms	332 KB	Output is correct
48	Correct	1 ms	332 KB	Output is correct
49	Correct	1 ms	332 KB	Output is correct
50	Correct	1 ms	204 KB	Output is correct
51	Correct	1 ms	332 KB	Output is correct
52	Correct	1 ms	332 KB	Output is correct
53	Correct	2 ms	332 KB	Output is correct
54	Correct	1 ms	332 KB	Output is correct
55	Correct	1 ms	332 KB	Output is correct
56	Correct	1 ms	332 KB	Output is correct
57	Correct	2 ms	332 KB	Output is correct
58	Correct	1 ms	332 KB	Output is correct
59	Correct	1 ms	332 KB	Output is correct
60	Correct	1 ms	332 KB	Output is correct
61	Correct	1 ms	312 KB	Output is correct
62	Correct	1 ms	332 KB	Output is correct
63	Correct	1 ms	332 KB	Output is correct
64	Correct	1 ms	332 KB	Output is correct
65	Correct	17 ms	588 KB	Output is correct
66	Correct	17 ms	508 KB	Output is correct
67	Correct	16 ms	588 KB	Output is correct
68	Correct	16 ms	520 KB	Output is correct
69	Correct	29 ms	540 KB	Output is correct
70	Correct	28 ms	516 KB	Output is correct
71	Correct	30 ms	476 KB	Output is correct
72	Correct	21 ms	524 KB	Output is correct
73	Correct	19 ms	516 KB	Output is correct
74	Correct	19 ms	568 KB	Output is correct
75	Correct	18 ms	588 KB	Output is correct
76	Correct	19 ms	444 KB	Output is correct
77	Correct	48 ms	708 KB	Output is correct
78	Correct	46 ms	756 KB	Output is correct
79	Correct	50 ms	804 KB	Output is correct
80	Correct	43 ms	804 KB	Output is correct
81	Correct	41 ms	836 KB	Output is correct
82	Correct	39 ms	836 KB	Output is correct
83	Correct	38 ms	708 KB	Output is correct
84	Correct	39 ms	840 KB	Output is correct
85	Correct	79 ms	740 KB	Output is correct
86	Correct	60 ms	836 KB	Output is correct
87	Correct	62 ms	764 KB	Output is correct
88	Correct	63 ms	708 KB	Output is correct
89	Correct	52 ms	712 KB	Output is correct
90	Correct	49 ms	828 KB	Output is correct
91	Correct	50 ms	820 KB	Output is correct
92	Correct	51 ms	680 KB	Output is correct
93	Correct	1594 ms	4600 KB	Output is correct
94	Correct	1631 ms	4356 KB	Output is correct
95	Correct	1582 ms	4444 KB	Output is correct
96	Correct	1272 ms	4316 KB	Output is correct
97	Correct	1135 ms	4408 KB	Output is correct
98	Correct	1212 ms	4448 KB	Output is correct
99	Correct	136 ms	1296 KB	Output is correct
100	Correct	130 ms	1320 KB	Output is correct
101	Correct	117 ms	1348 KB	Output is correct
102	Correct	114 ms	1284 KB	Output is correct
103	Correct	922 ms	1348 KB	Output is correct
104	Correct	561 ms	2472 KB	Output is correct
105	Correct	422 ms	2296 KB	Output is correct
106	Correct	360 ms	2332 KB	Output is correct
107	Correct	2672 ms	2360 KB	Output is correct
108	Correct	1252 ms	4476 KB	Output is correct
109	Correct	922 ms	4368 KB	Output is correct
110	Correct	861 ms	4464 KB	Output is correct
111	Correct	103 ms	1316 KB	Output is correct
112	Correct	100 ms	1260 KB	Output is correct
113	Correct	112 ms	1276 KB	Output is correct
114	Correct	234 ms	1412 KB	Output is correct
115	Correct	167 ms	1344 KB	Output is correct
116	Correct	193 ms	1348 KB	Output is correct
117	Correct	176 ms	1092 KB	Output is correct
118	Correct	139 ms	1284 KB	Output is correct
119	Correct	136 ms	1336 KB	Output is correct
120	Correct	162 ms	1308 KB	Output is correct
121	Correct	140 ms	1208 KB	Output is correct
122	Correct	302 ms	2360 KB	Output is correct
123	Correct	324 ms	2340 KB	Output is correct
124	Correct	263 ms	2292 KB	Output is correct
125	Correct	264 ms	2264 KB	Output is correct
126	Correct	273 ms	2292 KB	Output is correct
127	Correct	241 ms	2284 KB	Output is correct
128	Correct	225 ms	2484 KB	Output is correct
129	Correct	226 ms	2372 KB	Output is correct
130	Correct	201 ms	2368 KB	Output is correct
131	Correct	706 ms	2436 KB	Output is correct
132	Correct	508 ms	2244 KB	Output is correct
133	Correct	503 ms	2300 KB	Output is correct
134	Correct	533 ms	2200 KB	Output is correct
135	Correct	427 ms	2252 KB	Output is correct
136	Correct	416 ms	2368 KB	Output is correct
137	Correct	418 ms	2404 KB	Output is correct
138	Correct	409 ms	2236 KB	Output is correct
139	Correct	368 ms	2292 KB	Output is correct
140	Correct	340 ms	2288 KB	Output is correct
141	Correct	322 ms	2244 KB	Output is correct
142	Correct	728 ms	4384 KB	Output is correct
143	Correct	689 ms	4332 KB	Output is correct
144	Correct	666 ms	4460 KB	Output is correct
145	Correct	641 ms	4512 KB	Output is correct
146	Correct	595 ms	4388 KB	Output is correct
147	Correct	587 ms	4392 KB	Output is correct
148	Correct	764 ms	4424 KB	Output is correct
149	Correct	726 ms	4348 KB	Output is correct
150	Correct	710 ms	4592 KB	Output is correct
151	Correct	863 ms	4344 KB	Output is correct
152	Correct	876 ms	4492 KB	Output is correct
153	Correct	1246 ms	4648 KB	Output is correct
154	Correct	1230 ms	4476 KB	Output is correct
155	Correct	1222 ms	4456 KB	Output is correct
156	Correct	1154 ms	4132 KB	Output is correct
157	Correct	1330 ms	4384 KB	Output is correct
158	Correct	1211 ms	4396 KB	Output is correct
159	Correct	1063 ms	4496 KB	Output is correct
160	Correct	1006 ms	4412 KB	Output is correct
161	Correct	960 ms	4296 KB	Output is correct
162	Correct	903 ms	4468 KB	Output is correct
163	Correct	879 ms	4340 KB	Output is correct
164	Correct	836 ms	4408 KB	Output is correct
165	Correct	795 ms	4492 KB	Output is correct
166	Correct	835 ms	4500 KB	Output is correct
167	Correct	834 ms	4336 KB	Output is correct

답안 #521307

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