Submission #705609

# Submission time Handle Problem Language Result Execution time Memory
705609 2023-03-04T19:18:12 Z finn__ Amusement Park (CEOI19_amusementpark) C++17
100 / 100
1417 ms 2600 KB
#include <bits/stdc++.h>
using namespace std;

#define N 18
#define MOD 998244353

int64_t g[N], f[1 << N];
bitset<1 << N> is_independent;

int main()
{
    int64_t n, m;
    cin >> n >> m;

    for (size_t i = 0; i < m; i++)
    {
        size_t u, v;
        cin >> u >> v;
        g[u - 1] ^= (1 << (v - 1));
        g[v - 1] ^= (1 << (u - 1));
    }

    for (size_t i = 0; i < 1 << n; i++)
    {
        is_independent[i] = 1;
        for (size_t j = 0; j < n; j++)
            if (i & (1 << j))
                is_independent[i] = is_independent[i] && !(g[j] & i);
    }

    f[0] = 1;
    for (size_t i = 0; i < 1 << n; i++)
    {
        for (size_t j = i; j; j = (j - 1) & i)
            if (is_independent[j])
                f[i] += f[i ^ j] * ((__builtin_popcount(j) & 1) ? 1 : -1);
        f[i] = (f[i] % MOD + MOD) % MOD;
    }

    cout << (((m * f[(1 << n) - 1]) % MOD) * 499122177) % MOD << '\n';
}

Compilation message

amusementpark.cpp: In function 'int main()':
amusementpark.cpp:15:26: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int64_t' {aka 'long int'} [-Wsign-compare]
   15 |     for (size_t i = 0; i < m; i++)
      |                        ~~^~~
amusementpark.cpp:23:26: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   23 |     for (size_t i = 0; i < 1 << n; i++)
      |                        ~~^~~~~~~~
amusementpark.cpp:26:30: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int64_t' {aka 'long int'} [-Wsign-compare]
   26 |         for (size_t j = 0; j < n; j++)
      |                            ~~^~~
amusementpark.cpp:32:26: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   32 |     for (size_t i = 0; i < 1 << n; i++)
      |                        ~~^~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 0 ms 212 KB Output is correct
41 Correct 0 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 0 ms 212 KB Output is correct
51 Correct 0 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 1 ms 212 KB Output is correct
61 Correct 1 ms 212 KB Output is correct
62 Correct 1 ms 212 KB Output is correct
63 Correct 1 ms 312 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 0 ms 212 KB Output is correct
41 Correct 0 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 0 ms 212 KB Output is correct
51 Correct 0 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 1 ms 212 KB Output is correct
61 Correct 1 ms 212 KB Output is correct
62 Correct 1 ms 212 KB Output is correct
63 Correct 1 ms 312 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 16 ms 400 KB Output is correct
66 Correct 14 ms 384 KB Output is correct
67 Correct 15 ms 432 KB Output is correct
68 Correct 12 ms 340 KB Output is correct
69 Correct 16 ms 440 KB Output is correct
70 Correct 14 ms 420 KB Output is correct
71 Correct 13 ms 340 KB Output is correct
72 Correct 13 ms 348 KB Output is correct
73 Correct 12 ms 344 KB Output is correct
74 Correct 11 ms 340 KB Output is correct
75 Correct 12 ms 320 KB Output is correct
76 Correct 11 ms 340 KB Output is correct
77 Correct 44 ms 480 KB Output is correct
78 Correct 37 ms 548 KB Output is correct
79 Correct 36 ms 548 KB Output is correct
80 Correct 34 ms 468 KB Output is correct
81 Correct 37 ms 540 KB Output is correct
82 Correct 28 ms 512 KB Output is correct
83 Correct 28 ms 500 KB Output is correct
84 Correct 30 ms 520 KB Output is correct
85 Correct 44 ms 460 KB Output is correct
86 Correct 44 ms 528 KB Output is correct
87 Correct 38 ms 452 KB Output is correct
88 Correct 36 ms 528 KB Output is correct
89 Correct 33 ms 556 KB Output is correct
90 Correct 45 ms 468 KB Output is correct
91 Correct 32 ms 560 KB Output is correct
92 Correct 32 ms 540 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 0 ms 212 KB Output is correct
41 Correct 0 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 0 ms 212 KB Output is correct
51 Correct 0 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 1 ms 212 KB Output is correct
61 Correct 1 ms 212 KB Output is correct
62 Correct 1 ms 212 KB Output is correct
63 Correct 1 ms 312 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 16 ms 400 KB Output is correct
66 Correct 14 ms 384 KB Output is correct
67 Correct 15 ms 432 KB Output is correct
68 Correct 12 ms 340 KB Output is correct
69 Correct 16 ms 440 KB Output is correct
70 Correct 14 ms 420 KB Output is correct
71 Correct 13 ms 340 KB Output is correct
72 Correct 13 ms 348 KB Output is correct
73 Correct 12 ms 344 KB Output is correct
74 Correct 11 ms 340 KB Output is correct
75 Correct 12 ms 320 KB Output is correct
76 Correct 11 ms 340 KB Output is correct
77 Correct 44 ms 480 KB Output is correct
78 Correct 37 ms 548 KB Output is correct
79 Correct 36 ms 548 KB Output is correct
80 Correct 34 ms 468 KB Output is correct
81 Correct 37 ms 540 KB Output is correct
82 Correct 28 ms 512 KB Output is correct
83 Correct 28 ms 500 KB Output is correct
84 Correct 30 ms 520 KB Output is correct
85 Correct 44 ms 460 KB Output is correct
86 Correct 44 ms 528 KB Output is correct
87 Correct 38 ms 452 KB Output is correct
88 Correct 36 ms 528 KB Output is correct
89 Correct 33 ms 556 KB Output is correct
90 Correct 45 ms 468 KB Output is correct
91 Correct 32 ms 560 KB Output is correct
92 Correct 32 ms 540 KB Output is correct
93 Correct 942 ms 2356 KB Output is correct
94 Correct 989 ms 2488 KB Output is correct
95 Correct 982 ms 2328 KB Output is correct
96 Correct 813 ms 2356 KB Output is correct
97 Correct 857 ms 2332 KB Output is correct
98 Correct 973 ms 2280 KB Output is correct
99 Correct 110 ms 788 KB Output is correct
100 Correct 96 ms 788 KB Output is correct
101 Correct 92 ms 812 KB Output is correct
102 Correct 86 ms 800 KB Output is correct
103 Correct 474 ms 1420 KB Output is correct
104 Correct 354 ms 1296 KB Output is correct
105 Correct 326 ms 1304 KB Output is correct
106 Correct 273 ms 1312 KB Output is correct
107 Correct 1417 ms 2588 KB Output is correct
108 Correct 964 ms 2356 KB Output is correct
109 Correct 796 ms 2252 KB Output is correct
110 Correct 713 ms 2280 KB Output is correct
111 Correct 89 ms 700 KB Output is correct
112 Correct 77 ms 752 KB Output is correct
113 Correct 75 ms 772 KB Output is correct
114 Correct 121 ms 796 KB Output is correct
115 Correct 108 ms 840 KB Output is correct
116 Correct 106 ms 844 KB Output is correct
117 Correct 102 ms 812 KB Output is correct
118 Correct 93 ms 820 KB Output is correct
119 Correct 90 ms 728 KB Output is correct
120 Correct 94 ms 984 KB Output is correct
121 Correct 90 ms 868 KB Output is correct
122 Correct 259 ms 1328 KB Output is correct
123 Correct 276 ms 1264 KB Output is correct
124 Correct 228 ms 1420 KB Output is correct
125 Correct 217 ms 1324 KB Output is correct
126 Correct 214 ms 1412 KB Output is correct
127 Correct 213 ms 1404 KB Output is correct
128 Correct 194 ms 1324 KB Output is correct
129 Correct 192 ms 1332 KB Output is correct
130 Correct 202 ms 1264 KB Output is correct
131 Correct 367 ms 1336 KB Output is correct
132 Correct 338 ms 1436 KB Output is correct
133 Correct 328 ms 1288 KB Output is correct
134 Correct 306 ms 1264 KB Output is correct
135 Correct 268 ms 1220 KB Output is correct
136 Correct 269 ms 1432 KB Output is correct
137 Correct 305 ms 1228 KB Output is correct
138 Correct 256 ms 1400 KB Output is correct
139 Correct 254 ms 1328 KB Output is correct
140 Correct 273 ms 1336 KB Output is correct
141 Correct 232 ms 1312 KB Output is correct
142 Correct 679 ms 2376 KB Output is correct
143 Correct 618 ms 2376 KB Output is correct
144 Correct 600 ms 2252 KB Output is correct
145 Correct 657 ms 2320 KB Output is correct
146 Correct 581 ms 2476 KB Output is correct
147 Correct 556 ms 2328 KB Output is correct
148 Correct 653 ms 2368 KB Output is correct
149 Correct 686 ms 2252 KB Output is correct
150 Correct 645 ms 2468 KB Output is correct
151 Correct 779 ms 2520 KB Output is correct
152 Correct 722 ms 2396 KB Output is correct
153 Correct 854 ms 2456 KB Output is correct
154 Correct 831 ms 2376 KB Output is correct
155 Correct 851 ms 2320 KB Output is correct
156 Correct 760 ms 2396 KB Output is correct
157 Correct 812 ms 2600 KB Output is correct
158 Correct 864 ms 2324 KB Output is correct
159 Correct 736 ms 2296 KB Output is correct
160 Correct 724 ms 2356 KB Output is correct
161 Correct 713 ms 2292 KB Output is correct
162 Correct 698 ms 2508 KB Output is correct
163 Correct 679 ms 2352 KB Output is correct
164 Correct 680 ms 2372 KB Output is correct
165 Correct 640 ms 2388 KB Output is correct
166 Correct 736 ms 2252 KB Output is correct
167 Correct 669 ms 2364 KB Output is correct