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Submission #865123

# Submission time Handle Problem Language Result Execution time Memory
865123 2023-10-24T05:44:34 Z Requiem Amusement Park (CEOI19_amusementpark) C++17
100 / 100
 2033 ms 5968 KB 
#include <cstring>
#include <iostream>
using namespace std;
const int N = 18;
const int M = 998244353;
int a[N];
bool indepset[1 << N];
int popcount[1 << N];
int arg[1 << N];
int nodeid[1 << N];
long long f[1 << N];
int main() {
	int n, m;
	cin >> n >> m;
	for (int i = 1; i <= m; i++) {
		int u, v;
		cin >> u >> v;
		u--;
		v--;
		a[u] |= 1 << v;
		a[v] |= 1 << u;
	}
	for (int i = 0; i < n; i++) { nodeid[1 << i] = i; }
	for (int i = 0; i < (1 << n); i++) {
		popcount[i] = popcount[i >> 1] + (i & 1);
		arg[i] = (popcount[i] % 2) * 2 - 1;
	}
	indepset[0] = 1;
	for (int i = 1; i < (1 << n); i++) {
		if (indepset[i & (i - 1)] &&
		    (a[nodeid[i & (-i)]] & (i & (i - 1))) == 0) {
			indepset[i] = true;
		}
	}
	f[0] = 1;
	for (int i = 1; i < (1 << n); i++) {
		for (int j = i; j; j = (j - 1) & i) {
			if (indepset[j]) { f[i] = (f[i] + arg[j] * f[i ^ j]) % M; }
		}
	}
	f[(1 << n) - 1] = (f[(1 << n) - 1] + M) % M;
	cout << f[(1 << n) - 1] * m % M * ((M + 1) / 2) % M;
	return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 0 ms 2392 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 0 ms 2392 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2648 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 0 ms 2392 KB Output is correct
18 Correct 0 ms 2392 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 0 ms 2396 KB Output is correct
22 Correct 0 ms 2396 KB Output is correct
23 Correct 0 ms 2396 KB Output is correct
24 Correct 0 ms 2396 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 0 ms 2392 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2648 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 0 ms 2392 KB Output is correct
18 Correct 0 ms 2392 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 0 ms 2396 KB Output is correct
22 Correct 0 ms 2396 KB Output is correct
23 Correct 0 ms 2396 KB Output is correct
24 Correct 0 ms 2396 KB Output is correct
25 Correct 0 ms 2396 KB Output is correct
26 Correct 0 ms 2396 KB Output is correct
27 Correct 0 ms 2396 KB Output is correct
28 Correct 0 ms 2396 KB Output is correct
29 Correct 0 ms 2396 KB Output is correct
30 Correct 0 ms 2416 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 0 ms 2396 KB Output is correct
34 Correct 0 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 0 ms 2396 KB Output is correct
37 Correct 0 ms 2396 KB Output is correct
38 Correct 0 ms 2396 KB Output is correct
39 Correct 0 ms 2396 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 0 ms 2396 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 0 ms 2396 KB Output is correct
46 Correct 0 ms 2396 KB Output is correct
47 Correct 0 ms 2396 KB Output is correct
48 Correct 1 ms 2392 KB Output is correct
49 Correct 1 ms 2392 KB Output is correct
50 Correct 1 ms 2392 KB Output is correct
51 Correct 1 ms 2404 KB Output is correct
52 Correct 1 ms 2404 KB Output is correct
53 Correct 1 ms 2404 KB Output is correct
54 Correct 1 ms 2404 KB Output is correct
55 Correct 1 ms 2404 KB Output is correct
56 Correct 1 ms 2408 KB Output is correct
57 Correct 1 ms 2400 KB Output is correct
58 Correct 1 ms 2408 KB Output is correct
59 Correct 1 ms 2408 KB Output is correct
60 Correct 1 ms 2404 KB Output is correct
61 Correct 1 ms 2400 KB Output is correct
62 Correct 1 ms 2404 KB Output is correct
63 Correct 1 ms 2408 KB Output is correct
64 Correct 1 ms 2400 KB Output is correct

Subtask #4
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 0 ms 2392 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2648 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 0 ms 2392 KB Output is correct
18 Correct 0 ms 2392 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 0 ms 2396 KB Output is correct
22 Correct 0 ms 2396 KB Output is correct
23 Correct 0 ms 2396 KB Output is correct
24 Correct 0 ms 2396 KB Output is correct
25 Correct 0 ms 2396 KB Output is correct
26 Correct 0 ms 2396 KB Output is correct
27 Correct 0 ms 2396 KB Output is correct
28 Correct 0 ms 2396 KB Output is correct
29 Correct 0 ms 2396 KB Output is correct
30 Correct 0 ms 2416 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 0 ms 2396 KB Output is correct
34 Correct 0 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 0 ms 2396 KB Output is correct
37 Correct 0 ms 2396 KB Output is correct
38 Correct 0 ms 2396 KB Output is correct
39 Correct 0 ms 2396 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 0 ms 2396 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 0 ms 2396 KB Output is correct
46 Correct 0 ms 2396 KB Output is correct
47 Correct 0 ms 2396 KB Output is correct
48 Correct 1 ms 2392 KB Output is correct
49 Correct 1 ms 2392 KB Output is correct
50 Correct 1 ms 2392 KB Output is correct
51 Correct 1 ms 2404 KB Output is correct
52 Correct 1 ms 2404 KB Output is correct
53 Correct 1 ms 2404 KB Output is correct
54 Correct 1 ms 2404 KB Output is correct
55 Correct 1 ms 2404 KB Output is correct
56 Correct 1 ms 2408 KB Output is correct
57 Correct 1 ms 2400 KB Output is correct
58 Correct 1 ms 2408 KB Output is correct
59 Correct 1 ms 2408 KB Output is correct
60 Correct 1 ms 2404 KB Output is correct
61 Correct 1 ms 2400 KB Output is correct
62 Correct 1 ms 2404 KB Output is correct
63 Correct 1 ms 2408 KB Output is correct
64 Correct 1 ms 2400 KB Output is correct
65 Correct 8 ms 2664 KB Output is correct
66 Correct 8 ms 2660 KB Output is correct
67 Correct 8 ms 2664 KB Output is correct
68 Correct 8 ms 2660 KB Output is correct
69 Correct 12 ms 2660 KB Output is correct
70 Correct 9 ms 2656 KB Output is correct
71 Correct 9 ms 2780 KB Output is correct
72 Correct 11 ms 3096 KB Output is correct
73 Correct 7 ms 2652 KB Output is correct
74 Correct 8 ms 2652 KB Output is correct
75 Correct 8 ms 2652 KB Output is correct
76 Correct 9 ms 2652 KB Output is correct
77 Correct 29 ms 2908 KB Output is correct
78 Correct 24 ms 2908 KB Output is correct
79 Correct 23 ms 2884 KB Output is correct
80 Correct 22 ms 2908 KB Output is correct
81 Correct 20 ms 2908 KB Output is correct
82 Correct 19 ms 2908 KB Output is correct
83 Correct 19 ms 2948 KB Output is correct
84 Correct 18 ms 2908 KB Output is correct
85 Correct 34 ms 2908 KB Output is correct
86 Correct 26 ms 2908 KB Output is correct
87 Correct 27 ms 2908 KB Output is correct
88 Correct 30 ms 2908 KB Output is correct
89 Correct 21 ms 2908 KB Output is correct
90 Correct 22 ms 2944 KB Output is correct
91 Correct 23 ms 2960 KB Output is correct
92 Correct 25 ms 2752 KB Output is correct

Subtask #5
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 0 ms 2392 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2648 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 0 ms 2392 KB Output is correct
18 Correct 0 ms 2392 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 0 ms 2396 KB Output is correct
22 Correct 0 ms 2396 KB Output is correct
23 Correct 0 ms 2396 KB Output is correct
24 Correct 0 ms 2396 KB Output is correct
25 Correct 0 ms 2396 KB Output is correct
26 Correct 0 ms 2396 KB Output is correct
27 Correct 0 ms 2396 KB Output is correct
28 Correct 0 ms 2396 KB Output is correct
29 Correct 0 ms 2396 KB Output is correct
30 Correct 0 ms 2416 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 0 ms 2396 KB Output is correct
34 Correct 0 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 0 ms 2396 KB Output is correct
37 Correct 0 ms 2396 KB Output is correct
38 Correct 0 ms 2396 KB Output is correct
39 Correct 0 ms 2396 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 0 ms 2396 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 0 ms 2396 KB Output is correct
46 Correct 0 ms 2396 KB Output is correct
47 Correct 0 ms 2396 KB Output is correct
48 Correct 1 ms 2392 KB Output is correct
49 Correct 1 ms 2392 KB Output is correct
50 Correct 1 ms 2392 KB Output is correct
51 Correct 1 ms 2404 KB Output is correct
52 Correct 1 ms 2404 KB Output is correct
53 Correct 1 ms 2404 KB Output is correct
54 Correct 1 ms 2404 KB Output is correct
55 Correct 1 ms 2404 KB Output is correct
56 Correct 1 ms 2408 KB Output is correct
57 Correct 1 ms 2400 KB Output is correct
58 Correct 1 ms 2408 KB Output is correct
59 Correct 1 ms 2408 KB Output is correct
60 Correct 1 ms 2404 KB Output is correct
61 Correct 1 ms 2400 KB Output is correct
62 Correct 1 ms 2404 KB Output is correct
63 Correct 1 ms 2408 KB Output is correct
64 Correct 1 ms 2400 KB Output is correct
65 Correct 8 ms 2664 KB Output is correct
66 Correct 8 ms 2660 KB Output is correct
67 Correct 8 ms 2664 KB Output is correct
68 Correct 8 ms 2660 KB Output is correct
69 Correct 12 ms 2660 KB Output is correct
70 Correct 9 ms 2656 KB Output is correct
71 Correct 9 ms 2780 KB Output is correct
72 Correct 11 ms 3096 KB Output is correct
73 Correct 7 ms 2652 KB Output is correct
74 Correct 8 ms 2652 KB Output is correct
75 Correct 8 ms 2652 KB Output is correct
76 Correct 9 ms 2652 KB Output is correct
77 Correct 29 ms 2908 KB Output is correct
78 Correct 24 ms 2908 KB Output is correct
79 Correct 23 ms 2884 KB Output is correct
80 Correct 22 ms 2908 KB Output is correct
81 Correct 20 ms 2908 KB Output is correct
82 Correct 19 ms 2908 KB Output is correct
83 Correct 19 ms 2948 KB Output is correct
84 Correct 18 ms 2908 KB Output is correct
85 Correct 34 ms 2908 KB Output is correct
86 Correct 26 ms 2908 KB Output is correct
87 Correct 27 ms 2908 KB Output is correct
88 Correct 30 ms 2908 KB Output is correct
89 Correct 21 ms 2908 KB Output is correct
90 Correct 22 ms 2944 KB Output is correct
91 Correct 23 ms 2960 KB Output is correct
92 Correct 25 ms 2752 KB Output is correct
93 Correct 743 ms 5724 KB Output is correct
94 Correct 782 ms 5804 KB Output is correct
95 Correct 953 ms 5796 KB Output is correct
96 Correct 579 ms 5800 KB Output is correct
97 Correct 712 ms 5804 KB Output is correct
98 Correct 828 ms 5724 KB Output is correct
99 Correct 82 ms 3256 KB Output is correct
100 Correct 67 ms 3220 KB Output is correct
101 Correct 65 ms 3160 KB Output is correct
102 Correct 61 ms 3164 KB Output is correct
103 Correct 653 ms 5416 KB Output is correct
104 Correct 310 ms 4956 KB Output is correct
105 Correct 238 ms 5204 KB Output is correct
106 Correct 191 ms 4952 KB Output is correct
107 Correct 2033 ms 5804 KB Output is correct
108 Correct 750 ms 5772 KB Output is correct
109 Correct 586 ms 5464 KB Output is correct
110 Correct 499 ms 5664 KB Output is correct
111 Correct 65 ms 3416 KB Output is correct
112 Correct 54 ms 3196 KB Output is correct
113 Correct 52 ms 3204 KB Output is correct
114 Correct 129 ms 3244 KB Output is correct
115 Correct 91 ms 3164 KB Output is correct
116 Correct 81 ms 3164 KB Output is correct
117 Correct 89 ms 3196 KB Output is correct
118 Correct 68 ms 3160 KB Output is correct
119 Correct 63 ms 3212 KB Output is correct
120 Correct 72 ms 3408 KB Output is correct
121 Correct 74 ms 3200 KB Output is correct
122 Correct 182 ms 5116 KB Output is correct
123 Correct 166 ms 5096 KB Output is correct
124 Correct 166 ms 5336 KB Output is correct
125 Correct 151 ms 5080 KB Output is correct
126 Correct 145 ms 5076 KB Output is correct
127 Correct 138 ms 4956 KB Output is correct
128 Correct 133 ms 5068 KB Output is correct
129 Correct 131 ms 5152 KB Output is correct
130 Correct 128 ms 4952 KB Output is correct
131 Correct 408 ms 5164 KB Output is correct
132 Correct 309 ms 4952 KB Output is correct
133 Correct 260 ms 5100 KB Output is correct
134 Correct 299 ms 5036 KB Output is correct
135 Correct 211 ms 4956 KB Output is correct
136 Correct 189 ms 5100 KB Output is correct
137 Correct 208 ms 4956 KB Output is correct
138 Correct 242 ms 5064 KB Output is correct
139 Correct 184 ms 4952 KB Output is correct
140 Correct 203 ms 5164 KB Output is correct
141 Correct 202 ms 5060 KB Output is correct
142 Correct 455 ms 5468 KB Output is correct
143 Correct 444 ms 5712 KB Output is correct
144 Correct 414 ms 5468 KB Output is correct
145 Correct 407 ms 5716 KB Output is correct
146 Correct 386 ms 5464 KB Output is correct
147 Correct 379 ms 5572 KB Output is correct
148 Correct 460 ms 5468 KB Output is correct
149 Correct 462 ms 5604 KB Output is correct
150 Correct 447 ms 5468 KB Output is correct
151 Correct 566 ms 5468 KB Output is correct
152 Correct 526 ms 5612 KB Output is correct
153 Correct 660 ms 5800 KB Output is correct
154 Correct 773 ms 5800 KB Output is correct
155 Correct 714 ms 5680 KB Output is correct
156 Correct 816 ms 5592 KB Output is correct
157 Correct 748 ms 5672 KB Output is correct
158 Correct 615 ms 5716 KB Output is correct
159 Correct 575 ms 5800 KB Output is correct
160 Correct 614 ms 5464 KB Output is correct
161 Correct 650 ms 5572 KB Output is correct
162 Correct 544 ms 5968 KB Output is correct
163 Correct 521 ms 5672 KB Output is correct
164 Correct 502 ms 5624 KB Output is correct
165 Correct 559 ms 5716 KB Output is correct
166 Correct 490 ms 5468 KB Output is correct
167 Correct 495 ms 5464 KB Output is correct