oj.uz

Submission #572991

# Submission time Handle Problem Language Result Execution time Memory
572991 2022-06-05T15:24:01 Z piOOE Amusement Park (CEOI19_amusementpark) C++17
100 / 100
 1420 ms 2900 KB 
#include <bits/stdc++.h>

using namespace std;

#define sz(x) ((int)size(x))
#define all(x) begin(x), end(x)
#define trace(x) cout << #x << ": " << (x) << endl;

typedef long long ll;

mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());

int rand(int l, int r) { return (int) ((ll) rnd() % (r - l + 1)) + l; }

const int N = 18, MOD = 998244353;

int dp[1 << N], popc[1 << N];
bool ok[1 << N];

int add(int a, int b) {
    return a + b < MOD ? a + b : a + b - MOD;
}

int mul(int a, int b) {
    return a * (ll) b % MOD;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    memset(ok, 1, sizeof(ok));
    int n, m;
    cin >> n >> m;
    for (int i = 0; i < m; ++i) {
        int a, b;
        cin >> a >> b;
        --a, --b;
        ok[(1 << a) | (1 << b)] = false;
    }
    for (int mask = 1; mask < (1 << n); ++mask) {
        popc[mask] = __builtin_popcount(mask);
        for (int i = 0; i < n; ++i) {
            if ((mask & (1 << i)) && !ok[mask ^ (1 << i)]) {
                ok[mask] = false;
                break;
            }
        }
    }
    dp[0] = 1;
    for (int mask = 1; mask < (1 << n); ++mask) {
        for (int msk = mask; msk > 0; msk = (msk - 1) & mask) {
            if (!ok[msk]) {
                continue;
            }
            if (popc[msk] & 1) {
                dp[mask] = add(dp[mask], dp[mask ^ msk]);
            } else {
                dp[mask] = add(dp[mask], MOD - dp[mask ^ msk]);
            }
        }
    }
    cout << mul(dp[(1 << n) - 1], mul(m, (MOD + 1) >> 1));
    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 0 ms 596 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 0 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 0 ms 468 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 0 ms 596 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 0 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 0 ms 468 KB Output is correct
9 Correct 0 ms 468 KB Output is correct
10 Correct 0 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 0 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 0 ms 468 KB Output is correct
15 Correct 0 ms 468 KB Output is correct
16 Correct 0 ms 596 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 0 ms 468 KB Output is correct
20 Correct 0 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 596 KB Output is correct
23 Correct 0 ms 468 KB Output is correct
24 Correct 0 ms 468 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 0 ms 596 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 0 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 0 ms 468 KB Output is correct
9 Correct 0 ms 468 KB Output is correct
10 Correct 0 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 0 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 0 ms 468 KB Output is correct
15 Correct 0 ms 468 KB Output is correct
16 Correct 0 ms 596 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 0 ms 468 KB Output is correct
20 Correct 0 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 596 KB Output is correct
23 Correct 0 ms 468 KB Output is correct
24 Correct 0 ms 468 KB Output is correct
25 Correct 0 ms 468 KB Output is correct
26 Correct 0 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 0 ms 468 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 0 ms 468 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 1 ms 468 KB Output is correct
34 Correct 0 ms 468 KB Output is correct
35 Correct 0 ms 468 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 1 ms 468 KB Output is correct
38 Correct 0 ms 468 KB Output is correct
39 Correct 0 ms 468 KB Output is correct
40 Correct 1 ms 468 KB Output is correct
41 Correct 1 ms 468 KB Output is correct
42 Correct 1 ms 596 KB Output is correct
43 Correct 1 ms 596 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 0 ms 596 KB Output is correct
47 Correct 1 ms 468 KB Output is correct
48 Correct 0 ms 468 KB Output is correct
49 Correct 0 ms 468 KB Output is correct
50 Correct 1 ms 468 KB Output is correct
51 Correct 1 ms 468 KB Output is correct
52 Correct 1 ms 596 KB Output is correct
53 Correct 1 ms 596 KB Output is correct
54 Correct 1 ms 596 KB Output is correct
55 Correct 1 ms 596 KB Output is correct
56 Correct 1 ms 596 KB Output is correct
57 Correct 1 ms 596 KB Output is correct
58 Correct 1 ms 596 KB Output is correct
59 Correct 1 ms 596 KB Output is correct
60 Correct 0 ms 596 KB Output is correct
61 Correct 1 ms 596 KB Output is correct
62 Correct 0 ms 596 KB Output is correct
63 Correct 1 ms 596 KB Output is correct
64 Correct 1 ms 596 KB Output is correct

Subtask #4
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 0 ms 596 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 0 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 0 ms 468 KB Output is correct
9 Correct 0 ms 468 KB Output is correct
10 Correct 0 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 0 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 0 ms 468 KB Output is correct
15 Correct 0 ms 468 KB Output is correct
16 Correct 0 ms 596 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 0 ms 468 KB Output is correct
20 Correct 0 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 596 KB Output is correct
23 Correct 0 ms 468 KB Output is correct
24 Correct 0 ms 468 KB Output is correct
25 Correct 0 ms 468 KB Output is correct
26 Correct 0 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 0 ms 468 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 0 ms 468 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 1 ms 468 KB Output is correct
34 Correct 0 ms 468 KB Output is correct
35 Correct 0 ms 468 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 1 ms 468 KB Output is correct
38 Correct 0 ms 468 KB Output is correct
39 Correct 0 ms 468 KB Output is correct
40 Correct 1 ms 468 KB Output is correct
41 Correct 1 ms 468 KB Output is correct
42 Correct 1 ms 596 KB Output is correct
43 Correct 1 ms 596 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 0 ms 596 KB Output is correct
47 Correct 1 ms 468 KB Output is correct
48 Correct 0 ms 468 KB Output is correct
49 Correct 0 ms 468 KB Output is correct
50 Correct 1 ms 468 KB Output is correct
51 Correct 1 ms 468 KB Output is correct
52 Correct 1 ms 596 KB Output is correct
53 Correct 1 ms 596 KB Output is correct
54 Correct 1 ms 596 KB Output is correct
55 Correct 1 ms 596 KB Output is correct
56 Correct 1 ms 596 KB Output is correct
57 Correct 1 ms 596 KB Output is correct
58 Correct 1 ms 596 KB Output is correct
59 Correct 1 ms 596 KB Output is correct
60 Correct 0 ms 596 KB Output is correct
61 Correct 1 ms 596 KB Output is correct
62 Correct 0 ms 596 KB Output is correct
63 Correct 1 ms 596 KB Output is correct
64 Correct 1 ms 596 KB Output is correct
65 Correct 10 ms 712 KB Output is correct
66 Correct 9 ms 680 KB Output is correct
67 Correct 7 ms 664 KB Output is correct
68 Correct 7 ms 724 KB Output is correct
69 Correct 13 ms 712 KB Output is correct
70 Correct 10 ms 596 KB Output is correct
71 Correct 11 ms 596 KB Output is correct
72 Correct 11 ms 716 KB Output is correct
73 Correct 9 ms 716 KB Output is correct
74 Correct 8 ms 596 KB Output is correct
75 Correct 9 ms 700 KB Output is correct
76 Correct 9 ms 684 KB Output is correct
77 Correct 28 ms 828 KB Output is correct
78 Correct 25 ms 724 KB Output is correct
79 Correct 24 ms 752 KB Output is correct
80 Correct 23 ms 812 KB Output is correct
81 Correct 21 ms 724 KB Output is correct
82 Correct 20 ms 832 KB Output is correct
83 Correct 18 ms 852 KB Output is correct
84 Correct 18 ms 724 KB Output is correct
85 Correct 38 ms 724 KB Output is correct
86 Correct 30 ms 724 KB Output is correct
87 Correct 30 ms 796 KB Output is correct
88 Correct 32 ms 808 KB Output is correct
89 Correct 25 ms 824 KB Output is correct
90 Correct 26 ms 816 KB Output is correct
91 Correct 27 ms 724 KB Output is correct
92 Correct 27 ms 740 KB Output is correct

Subtask #5
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 0 ms 596 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 0 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 0 ms 468 KB Output is correct
9 Correct 0 ms 468 KB Output is correct
10 Correct 0 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 0 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 0 ms 468 KB Output is correct
15 Correct 0 ms 468 KB Output is correct
16 Correct 0 ms 596 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 0 ms 468 KB Output is correct
20 Correct 0 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 596 KB Output is correct
23 Correct 0 ms 468 KB Output is correct
24 Correct 0 ms 468 KB Output is correct
25 Correct 0 ms 468 KB Output is correct
26 Correct 0 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 0 ms 468 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 0 ms 468 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 1 ms 468 KB Output is correct
34 Correct 0 ms 468 KB Output is correct
35 Correct 0 ms 468 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 1 ms 468 KB Output is correct
38 Correct 0 ms 468 KB Output is correct
39 Correct 0 ms 468 KB Output is correct
40 Correct 1 ms 468 KB Output is correct
41 Correct 1 ms 468 KB Output is correct
42 Correct 1 ms 596 KB Output is correct
43 Correct 1 ms 596 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 0 ms 596 KB Output is correct
47 Correct 1 ms 468 KB Output is correct
48 Correct 0 ms 468 KB Output is correct
49 Correct 0 ms 468 KB Output is correct
50 Correct 1 ms 468 KB Output is correct
51 Correct 1 ms 468 KB Output is correct
52 Correct 1 ms 596 KB Output is correct
53 Correct 1 ms 596 KB Output is correct
54 Correct 1 ms 596 KB Output is correct
55 Correct 1 ms 596 KB Output is correct
56 Correct 1 ms 596 KB Output is correct
57 Correct 1 ms 596 KB Output is correct
58 Correct 1 ms 596 KB Output is correct
59 Correct 1 ms 596 KB Output is correct
60 Correct 0 ms 596 KB Output is correct
61 Correct 1 ms 596 KB Output is correct
62 Correct 0 ms 596 KB Output is correct
63 Correct 1 ms 596 KB Output is correct
64 Correct 1 ms 596 KB Output is correct
65 Correct 10 ms 712 KB Output is correct
66 Correct 9 ms 680 KB Output is correct
67 Correct 7 ms 664 KB Output is correct
68 Correct 7 ms 724 KB Output is correct
69 Correct 13 ms 712 KB Output is correct
70 Correct 10 ms 596 KB Output is correct
71 Correct 11 ms 596 KB Output is correct
72 Correct 11 ms 716 KB Output is correct
73 Correct 9 ms 716 KB Output is correct
74 Correct 8 ms 596 KB Output is correct
75 Correct 9 ms 700 KB Output is correct
76 Correct 9 ms 684 KB Output is correct
77 Correct 28 ms 828 KB Output is correct
78 Correct 25 ms 724 KB Output is correct
79 Correct 24 ms 752 KB Output is correct
80 Correct 23 ms 812 KB Output is correct
81 Correct 21 ms 724 KB Output is correct
82 Correct 20 ms 832 KB Output is correct
83 Correct 18 ms 852 KB Output is correct
84 Correct 18 ms 724 KB Output is correct
85 Correct 38 ms 724 KB Output is correct
86 Correct 30 ms 724 KB Output is correct
87 Correct 30 ms 796 KB Output is correct
88 Correct 32 ms 808 KB Output is correct
89 Correct 25 ms 824 KB Output is correct
90 Correct 26 ms 816 KB Output is correct
91 Correct 27 ms 724 KB Output is correct
92 Correct 27 ms 740 KB Output is correct
93 Correct 838 ms 2612 KB Output is correct
94 Correct 807 ms 2788 KB Output is correct
95 Correct 830 ms 2608 KB Output is correct
96 Correct 680 ms 2536 KB Output is correct
97 Correct 599 ms 2708 KB Output is correct
98 Correct 647 ms 2648 KB Output is correct
99 Correct 87 ms 1188 KB Output is correct
100 Correct 74 ms 1088 KB Output is correct
101 Correct 70 ms 1080 KB Output is correct
102 Correct 65 ms 1160 KB Output is correct
103 Correct 470 ms 1676 KB Output is correct
104 Correct 283 ms 1592 KB Output is correct
105 Correct 241 ms 1596 KB Output is correct
106 Correct 209 ms 1520 KB Output is correct
107 Correct 1420 ms 2580 KB Output is correct
108 Correct 677 ms 2708 KB Output is correct
109 Correct 587 ms 2512 KB Output is correct
110 Correct 553 ms 2672 KB Output is correct
111 Correct 59 ms 1024 KB Output is correct
112 Correct 54 ms 1080 KB Output is correct
113 Correct 55 ms 1072 KB Output is correct
114 Correct 120 ms 1252 KB Output is correct
115 Correct 96 ms 972 KB Output is correct
116 Correct 90 ms 1160 KB Output is correct
117 Correct 94 ms 1088 KB Output is correct
118 Correct 75 ms 1084 KB Output is correct
119 Correct 76 ms 1168 KB Output is correct
120 Correct 73 ms 1032 KB Output is correct
121 Correct 76 ms 1044 KB Output is correct
122 Correct 194 ms 1484 KB Output is correct
123 Correct 172 ms 1576 KB Output is correct
124 Correct 178 ms 1596 KB Output is correct
125 Correct 156 ms 1564 KB Output is correct
126 Correct 151 ms 1572 KB Output is correct
127 Correct 140 ms 1508 KB Output is correct
128 Correct 135 ms 1560 KB Output is correct
129 Correct 130 ms 1560 KB Output is correct
130 Correct 125 ms 1532 KB Output is correct
131 Correct 340 ms 1584 KB Output is correct
132 Correct 283 ms 1520 KB Output is correct
133 Correct 263 ms 1516 KB Output is correct
134 Correct 282 ms 1720 KB Output is correct
135 Correct 225 ms 1592 KB Output is correct
136 Correct 214 ms 1568 KB Output is correct
137 Correct 229 ms 1572 KB Output is correct
138 Correct 227 ms 1540 KB Output is correct
139 Correct 195 ms 1516 KB Output is correct
140 Correct 196 ms 1604 KB Output is correct
141 Correct 191 ms 1484 KB Output is correct
142 Correct 473 ms 2532 KB Output is correct
143 Correct 453 ms 2660 KB Output is correct
144 Correct 424 ms 2900 KB Output is correct
145 Correct 397 ms 2492 KB Output is correct
146 Correct 388 ms 2528 KB Output is correct
147 Correct 375 ms 2608 KB Output is correct
148 Correct 481 ms 2548 KB Output is correct
149 Correct 467 ms 2652 KB Output is correct
150 Correct 476 ms 2496 KB Output is correct
151 Correct 513 ms 2708 KB Output is correct
152 Correct 509 ms 2668 KB Output is correct
153 Correct 678 ms 2540 KB Output is correct
154 Correct 684 ms 2688 KB Output is correct
155 Correct 644 ms 2688 KB Output is correct
156 Correct 674 ms 2636 KB Output is correct
157 Correct 665 ms 2692 KB Output is correct
158 Correct 654 ms 2704 KB Output is correct
159 Correct 596 ms 2716 KB Output is correct
160 Correct 564 ms 2604 KB Output is correct
161 Correct 591 ms 2672 KB Output is correct
162 Correct 539 ms 2596 KB Output is correct
163 Correct 509 ms 2540 KB Output is correct
164 Correct 512 ms 2504 KB Output is correct
165 Correct 495 ms 2604 KB Output is correct
166 Correct 498 ms 2536 KB Output is correct
167 Correct 511 ms 2552 KB Output is correct