oj.uz

Submission #787050

# Submission time Handle Problem Language Result Execution time Memory
787050 2023-07-18T17:18:57 Z nonono Amusement Park (CEOI19_amusementpark) C++14
100 / 100
 1624 ms 2880 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;

const int mod = 998244353;

int n, m;
bool f[1 << 18];
int dp[1 << 18];

int binpow(int a, int b) {
    if(!b) return 1;
    
    if(b % 2 == 0) {
        int x = binpow(a, b / 2);
        return (x * x) % mod;
    }
    
    return (binpow(a, b - 1) * a) % mod;
}

signed main() {
    ios_base::sync_with_stdio(false); 
    cin.tie(nullptr);
    
    cin >> n >> m;
    
    for(int mask = 0; mask < (1 << n); mask ++) f[mask] = false; 
    
    for(int i = 1; i <= m; i ++) {
        int u, v;
        cin >> u >> v;
        u -- ; v -- ;
        f[(1 << u) + (1 << v)] = true;
    } 
    
    for(int mask = 1; mask < (1 << n); mask ++) {
        for(int i = 0; i < n; i ++) {
            if((mask & (1 << i)) && f[mask ^ (1 << i)]) {
                f[mask] = true;
            }
        }
    }
    
    dp[0] = 1;
    for(int mask = 1; mask < (1 << n); mask ++) {
        for(int i = mask; i > 0; i = (i - 1) & mask) {
            if(f[i]) continue ;
            
            if(__builtin_popcount(i) % 2) dp[mask] += dp[mask ^ i];
            else 
                dp[mask] += mod - dp[mask ^ i];
            
            dp[mask] %= mod;    
        }
    }
    
    cout << dp[(1 << n) - 1] * m % mod * binpow(2, mod - 2) % mod << "\n"; 
    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 328 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 328 KB Output is correct
16 Correct 1 ms 324 KB Output is correct
17 Correct 0 ms 332 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 328 KB Output is correct
16 Correct 1 ms 324 KB Output is correct
17 Correct 0 ms 332 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 0 ms 324 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 328 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 328 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 328 KB Output is correct
43 Correct 1 ms 324 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 324 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 1 ms 340 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 324 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 1 ms 324 KB Output is correct
64 Correct 1 ms 340 KB Output is correct

Subtask #4
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 328 KB Output is correct
16 Correct 1 ms 324 KB Output is correct
17 Correct 0 ms 332 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 0 ms 324 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 328 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 328 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 328 KB Output is correct
43 Correct 1 ms 324 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 324 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 1 ms 340 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 324 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 1 ms 324 KB Output is correct
64 Correct 1 ms 340 KB Output is correct
65 Correct 9 ms 472 KB Output is correct
66 Correct 8 ms 468 KB Output is correct
67 Correct 7 ms 468 KB Output is correct
68 Correct 7 ms 440 KB Output is correct
69 Correct 15 ms 388 KB Output is correct
70 Correct 11 ms 460 KB Output is correct
71 Correct 12 ms 468 KB Output is correct
72 Correct 12 ms 480 KB Output is correct
73 Correct 9 ms 456 KB Output is correct
74 Correct 9 ms 460 KB Output is correct
75 Correct 9 ms 456 KB Output is correct
76 Correct 10 ms 480 KB Output is correct
77 Correct 27 ms 540 KB Output is correct
78 Correct 24 ms 552 KB Output is correct
79 Correct 23 ms 584 KB Output is correct
80 Correct 21 ms 604 KB Output is correct
81 Correct 19 ms 580 KB Output is correct
82 Correct 17 ms 580 KB Output is correct
83 Correct 17 ms 616 KB Output is correct
84 Correct 16 ms 620 KB Output is correct
85 Correct 44 ms 596 KB Output is correct
86 Correct 32 ms 560 KB Output is correct
87 Correct 32 ms 592 KB Output is correct
88 Correct 32 ms 572 KB Output is correct
89 Correct 25 ms 596 KB Output is correct
90 Correct 25 ms 600 KB Output is correct
91 Correct 26 ms 536 KB Output is correct
92 Correct 25 ms 588 KB Output is correct

Subtask #5
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 328 KB Output is correct
16 Correct 1 ms 324 KB Output is correct
17 Correct 0 ms 332 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 0 ms 324 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 328 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 328 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 328 KB Output is correct
43 Correct 1 ms 324 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 324 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 1 ms 340 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 324 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 1 ms 324 KB Output is correct
64 Correct 1 ms 340 KB Output is correct
65 Correct 9 ms 472 KB Output is correct
66 Correct 8 ms 468 KB Output is correct
67 Correct 7 ms 468 KB Output is correct
68 Correct 7 ms 440 KB Output is correct
69 Correct 15 ms 388 KB Output is correct
70 Correct 11 ms 460 KB Output is correct
71 Correct 12 ms 468 KB Output is correct
72 Correct 12 ms 480 KB Output is correct
73 Correct 9 ms 456 KB Output is correct
74 Correct 9 ms 460 KB Output is correct
75 Correct 9 ms 456 KB Output is correct
76 Correct 10 ms 480 KB Output is correct
77 Correct 27 ms 540 KB Output is correct
78 Correct 24 ms 552 KB Output is correct
79 Correct 23 ms 584 KB Output is correct
80 Correct 21 ms 604 KB Output is correct
81 Correct 19 ms 580 KB Output is correct
82 Correct 17 ms 580 KB Output is correct
83 Correct 17 ms 616 KB Output is correct
84 Correct 16 ms 620 KB Output is correct
85 Correct 44 ms 596 KB Output is correct
86 Correct 32 ms 560 KB Output is correct
87 Correct 32 ms 592 KB Output is correct
88 Correct 32 ms 572 KB Output is correct
89 Correct 25 ms 596 KB Output is correct
90 Correct 25 ms 600 KB Output is correct
91 Correct 26 ms 536 KB Output is correct
92 Correct 25 ms 588 KB Output is correct
93 Correct 869 ms 2608 KB Output is correct
94 Correct 837 ms 2584 KB Output is correct
95 Correct 848 ms 2624 KB Output is correct
96 Correct 675 ms 2576 KB Output is correct
97 Correct 603 ms 2616 KB Output is correct
98 Correct 685 ms 2656 KB Output is correct
99 Correct 86 ms 888 KB Output is correct
100 Correct 68 ms 892 KB Output is correct
101 Correct 62 ms 860 KB Output is correct
102 Correct 55 ms 888 KB Output is correct
103 Correct 494 ms 1460 KB Output is correct
104 Correct 319 ms 1496 KB Output is correct
105 Correct 242 ms 1412 KB Output is correct
106 Correct 196 ms 1428 KB Output is correct
107 Correct 1624 ms 2604 KB Output is correct
108 Correct 679 ms 2596 KB Output is correct
109 Correct 534 ms 2628 KB Output is correct
110 Correct 449 ms 2496 KB Output is correct
111 Correct 50 ms 868 KB Output is correct
112 Correct 47 ms 876 KB Output is correct
113 Correct 45 ms 852 KB Output is correct
114 Correct 130 ms 864 KB Output is correct
115 Correct 92 ms 836 KB Output is correct
116 Correct 95 ms 888 KB Output is correct
117 Correct 93 ms 864 KB Output is correct
118 Correct 76 ms 868 KB Output is correct
119 Correct 72 ms 876 KB Output is correct
120 Correct 73 ms 844 KB Output is correct
121 Correct 78 ms 776 KB Output is correct
122 Correct 168 ms 1440 KB Output is correct
123 Correct 143 ms 1452 KB Output is correct
124 Correct 129 ms 1472 KB Output is correct
125 Correct 126 ms 1404 KB Output is correct
126 Correct 121 ms 1396 KB Output is correct
127 Correct 108 ms 1456 KB Output is correct
128 Correct 102 ms 1448 KB Output is correct
129 Correct 98 ms 1416 KB Output is correct
130 Correct 96 ms 1472 KB Output is correct
131 Correct 376 ms 1544 KB Output is correct
132 Correct 278 ms 1392 KB Output is correct
133 Correct 286 ms 1448 KB Output is correct
134 Correct 276 ms 1576 KB Output is correct
135 Correct 219 ms 1352 KB Output is correct
136 Correct 211 ms 1404 KB Output is correct
137 Correct 223 ms 1452 KB Output is correct
138 Correct 220 ms 1408 KB Output is correct
139 Correct 177 ms 1440 KB Output is correct
140 Correct 206 ms 1356 KB Output is correct
141 Correct 174 ms 1356 KB Output is correct
142 Correct 376 ms 2520 KB Output is correct
143 Correct 345 ms 2508 KB Output is correct
144 Correct 320 ms 2508 KB Output is correct
145 Correct 303 ms 2636 KB Output is correct
146 Correct 285 ms 2676 KB Output is correct
147 Correct 272 ms 2580 KB Output is correct
148 Correct 383 ms 2520 KB Output is correct
149 Correct 368 ms 2600 KB Output is correct
150 Correct 371 ms 2536 KB Output is correct
151 Correct 483 ms 2664 KB Output is correct
152 Correct 443 ms 2572 KB Output is correct
153 Correct 691 ms 2488 KB Output is correct
154 Correct 677 ms 2628 KB Output is correct
155 Correct 651 ms 2636 KB Output is correct
156 Correct 727 ms 2508 KB Output is correct
157 Correct 635 ms 2524 KB Output is correct
158 Correct 669 ms 2648 KB Output is correct
159 Correct 538 ms 2880 KB Output is correct
160 Correct 578 ms 2508 KB Output is correct
161 Correct 507 ms 2688 KB Output is correct
162 Correct 467 ms 2760 KB Output is correct
163 Correct 446 ms 2540 KB Output is correct
164 Correct 430 ms 2608 KB Output is correct
165 Correct 424 ms 2596 KB Output is correct
166 Correct 431 ms 2568 KB Output is correct
167 Correct 437 ms 2508 KB Output is correct