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NOI.AC

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#203980#3572. 排列数数smallstone1001712ms66796kbC++111.2kb2024-03-31 11:00:432024-03-31 12:02:18

answer

#include<bits/stdc++.h>
using namespace std;
using ll = long long;
//using LL = __int128
const int maxn = (1 << 23) + 5;
#define mod 1000000007ll
ll n, m, p[30], p1[30];
ll f[maxn];
vector<int> g[30];
bool vis[30][30];
void add(int u, int v){
	if(vis[v][u]){
		cout << 0;
		exit(0);
	}
	if(!vis[u][v])
		g[u].push_back(v), vis[u][v] = true;
}
bool check(){
	for(int i = 1 ; i <= n ; i++){
		for(auto v : g[i])
			if(p[i] >= p[v])
				return false;
	}
	return true;
}
int main(){
	//cout << sizeof(f);
	cin >> n >> m;
	for(int i = 1 ; i <= m ; i++){
		int u, v;
		cin >> u >> v;
		add(u, v);
		p1[u] |= (1 << v);
	}
	if(n <= 10){
		for(int i = 1 ; i <= n ; i++)
			p[i] = i;
		ll ans = 0;
		do{
			ans += check();
		}while(next_permutation(p + 1, p + 1 + n));
		cout << ans;
		exit(0);
	}
	f[0] = 1;
	for(int s = 0 ; s < (1 << (n + 1)) ; s += 2){
		//if(s == 2)
			//cout << (!(s >> (1 - 1)) & 1);
		for(int i = 1 ; i <= n ; i++)
			if(((p1[i] & s) == p1[i]) && (!((s >> i) & 1))){
				f[s | (1 << i)] = (f[s | (1 << i)] + f[s]) % mod;
				//cout << i << ":" << f[s] << " " << s << " " << f[s | (1 << (i - 1))] << " " << (s | (1 << (i - 1))) << "\n";
			}
	}
	cout << f[(1 << (n + 1)) - 2] << "\n";
	return 0;
}

Details

小提示:点击横条可展开更详细的信息

Test #1:

score: 10
Accepted
time: 32ms
memory: 1260kb

input:

10 20
2 6
1 7
1 8
4 7
8 7
4 7
7 5
3 5
3 1
6 7
2 10
10 5
9 8
8 6
8 7
6 10
7 5
3 10
4 10
8 7

output:

210

result:

ok single line: '210'

Test #2:

score: 10
Accepted
time: 50ms
memory: 1264kb

input:

10 50
8 7
9 7
9 6
9 10
7 5
6 2
3 1
8 5
2 5
9 10
6 2
4 7
8 5
7 2
10 7
9 8
9 7
3 2
6 2
1 4
8 4
7 2
9 5...

output:

9

result:

ok single line: '9'

Test #3:

score: 10
Accepted
time: 6ms
memory: 1256kb

input:

9 3
6 7
6 5
9 1

output:

60480

result:

ok single line: '60480'

Test #4:

score: 10
Accepted
time: 47ms
memory: 1260kb

input:

10 400
7 6
4 2
6 3
6 3
4 2
1 8
10 4
1 10
10 6
4 2
10 9
10 8
10 4
5 4
1 2
9 3
5 4
4 6
10 3
10 2
8 4
9...

output:

1

result:

ok single line: '1'

Test #5:

score: 10
Accepted
time: 44ms
memory: 1264kb

input:

10 10
2 9
5 10
4 10
9 8
3 6
1 2
5 3
3 2
3 8
3 6

output:

4470

result:

ok single line: '4470'

Test #6:

score: 10
Accepted
time: 528ms
memory: 66776kb

input:

22 3
6 11
1 12
17 8

output:

700330084

result:

ok single line: '700330084'

Test #7:

score: 10
Accepted
time: 122ms
memory: 66792kb

input:

22 372
11 2
11 4
15 9
21 19
21 12
19 6
9 8
21 20
4 10
5 11
5 4
6 10
20 6
22 5
3 20
1 9
3 19
11 6
16 ...

output:

108

result:

ok single line: '108'

Test #8:

score: 10
Accepted
time: 322ms
memory: 66792kb

input:

22 40
13 17
8 2
15 1
8 18
19 13
16 20
16 15
5 6
21 14
21 13
11 3
5 8
10 9
11 1
8 17
12 21
11 4
1 21
...

output:

291292779

result:

ok single line: '291292779'

Test #9:

score: 10
Accepted
time: 206ms
memory: 61804kb

input:

22 100
1 22
13 15
1 9
14 16
12 21
6 2
4 15
2 15
10 15
20 6
6 5
8 3
2 15
16 15
9 21
11 2
8 15
13 16
1...

output:

13220416

result:

ok single line: '13220416'

Test #10:

score: 10
Accepted
time: 355ms
memory: 66796kb

input:

22 30
4 16
1 16
18 1
3 2
5 10
21 16
4 16
11 8
8 7
20 21
19 7
6 21
19 7
1 19
5 19
21 11
10 11
10 8
19...

output:

231868313

result:

ok single line: '231868313'

Extra Test:

score: 0
Extra Test Passed