oj.uz

Submission #521307

# Submission time Handle Problem Language Result Execution time Memory
521307 2022-02-01T16:10:33 Z Cantfindme Amusement Park (CEOI19_amusementpark) C++17
100 / 100
 2672 ms 4648 KB 
#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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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