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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#518181#7. 主旋律sz051100 ✓78ms6892kbC++141.4kb2024-08-13 17:18:242024-08-13 17:18:25

Judging History

你现在查看的是最新测评结果

  • [2024-08-13 17:18:25]
  • 评测
  • 测评结果:100
  • 用时:78ms
  • 内存:6892kb
  • [2024-08-13 17:18:24]
  • 提交

answer

#include <cstdio>
#include <cstring>
#include <algorithm>
#include <vector>
#define int long long 
using namespace std;

const int md=1e9+7;
void read(int &x){
	x=0;
	int f=1;
	char c=getchar();
	while(!('0'<=c && c<='9')){
		if(c=='-'){
			f=-1;
		}
		c=getchar();
	}
	while('0'<=c && c<='9'){
		x=(x<<3)+(x<<1)+(c^48);
		c=getchar();
	}
	x*=f;
}
int qmod(int k){
	return k>=md?k-md:k;
}
bool e[15][15];
int n,m,dp[1<<15],f[1<<15],cnt[15][1<<15],tmp[1<<15],pw[100010];
signed main(){
	pw[0]=1;
	for(int i=1;i<=100000;i++){
		pw[i]=pw[i-1]*2%md;
	}
	read(n);
	read(m);
	int u,v;
	for(int i=1;i<=m;i++){
		read(u);
		read(v);
		e[u-1][v-1]=1;
	}
	for(int i=0;i<n;i++){
		for(int j=1;j<(1<<n);j++){
			int lst=__lg(j&-j);
			cnt[i][j]=cnt[i][j^(1<<lst)]+e[i][lst];
		}
	}
	for(int i=0;i<(1<<n);i++){
		for(int _=i&(i-1);;_=i&(_-1)){
			int j=i^_;
			int lst=__lg(j&-j);
			tmp[j]=tmp[j^(j&-j)]+cnt[lst][i];
			if((i&-i)&j){
				f[i]=qmod(f[i]-f[j^i]*dp[j]%md+md);
			}
			if(!_){
				break;
			}
		}
		int tot=0;
		for(int j=0;j<n;j++){
			if(i&(1<<j)){
				tot+=cnt[j][i];
			}
		}
		dp[i]=pw[tot];
		for(int _=i&(i-1);;_=i&(_-1)){
			int j=i^_;
			dp[i]=qmod(dp[i]+md-f[j]*pw[tot-tmp[j]]%md);
			//tmp[j]=0;
			if(!_){
				break;
			}
		}
		f[i]=qmod(f[i]+dp[i]);
	}
	printf("%lld",dp[(1<<n)-1]);
	return 0;
} 

Details

Tip: Click on the bar to expand more detailed information

Pretests


Final Tests

Test #1:

score: 10
Accepted
time: 0ms
memory: 2332kb

input:

5 15
4 3
4 2
2 5
2 1
1 2
5 1
3 2
4 1
1 4
5 4
3 4
5 3
2 3
1 5
3 1

output:

9390

result:

ok single line: '9390'

Test #2:

score: 10
Accepted
time: 0ms
memory: 2224kb

input:

5 18
4 3
4 2
2 5
2 1
1 2
5 1
3 2
4 1
1 4
5 4
3 4
5 3
2 3
1 5
3 1
1 3
5 2
2 4

output:

100460

result:

ok single line: '100460'

Test #3:

score: 10
Accepted
time: 0ms
memory: 2232kb

input:

8 35
5 1
8 7
7 8
7 6
6 1
2 5
6 5
8 2
7 2
7 5
3 1
6 3
2 3
5 2
8 5
8 3
6 8
2 1
1 6
2 6
7 3
2 4
3 5
3 2
3 7
7 1
8 4
3 4
3 6
6 4
2 7
4 6
6 7
7 4
8 1

output:

299463717

result:

ok single line: '299463717'

Test #4:

score: 10
Accepted
time: 0ms
memory: 2316kb

input:

8 40
5 1
8 7
7 8
7 6
6 1
2 5
6 5
8 2
7 2
7 5
3 1
6 3
2 3
5 2
8 5
8 3
6 8
2 1
1 6
2 6
7 3
2 4
3 5
3 2
3 7
7 1
8 4
3 4
3 6
6 4
2 7
4 6
6 7
7 4
8 1
1 2
4 8
5 8
4 3
5 7

output:

21156439

result:

ok single line: '21156439'

Test #5:

score: 10
Accepted
time: 0ms
memory: 2232kb

input:

8 45
5 1
8 7
7 8
7 6
6 1
2 5
6 5
8 2
7 2
7 5
3 1
6 3
2 3
5 2
8 5
8 3
6 8
2 1
1 6
2 6
7 3
2 4
3 5
3 2
3 7
7 1
8 4
3 4
3 6
6 4
2 7
4 6
6 7
7 4
8 1
1 2
4 8
5 8
4 3
5 7
2 8
1 5
3 8
1 3
4 1

output:

426670664

result:

ok single line: '426670664'

Test #6:

score: 10
Accepted
time: 0ms
memory: 2344kb

input:

10 65
5 10
1 8
7 8
6 2
5 7
9 2
4 7
3 7
1 6
3 10
7 9
8 4
7 1
5 2
1 7
4 2
8 3
8 1
3 9
8 2
2 10
4 3
9 10
5 3
3 8
3 4
6 10
4 8
4 5
5 8
9 5
9 6
10 2
10 5
6 1
2 1
9 4
7 10
5 6
10 7
10 8
5 9
9 7
9 8
4 10
8 9
7 2
2 7
10 1
7 3
6 8
7 6
9 1
6 5
2 4
6 3
2 9
8 10
10 9
8 5
4 1
6 9
2 3
1 3
1 9

output:

931896041

result:

ok single line: '931896041'

Test #7:

score: 10
Accepted
time: 1ms
memory: 2348kb

input:

10 70
5 10
1 8
7 8
6 2
5 7
9 2
4 7
3 7
1 6
3 10
7 9
8 4
7 1
5 2
1 7
4 2
8 3
8 1
3 9
8 2
2 10
4 3
9 10
5 3
3 8
3 4
6 10
4 8
4 5
5 8
9 5
9 6
10 2
10 5
6 1
2 1
9 4
7 10
5 6
10 7
10 8
5 9
9 7
9 8
4 10
8 9
7 2
2 7
10 1
7 3
6 8
7 6
9 1
6 5
2 4
6 3
2 9
8 10
10 9
8 5
4 1
6 9
2 3
1 3
1 9
5 4
1 5
5 1
10 4
10 6

output:

303656759

result:

ok single line: '303656759'

Test #8:

score: 10
Accepted
time: 75ms
memory: 6884kb

input:

15 130
7 10
9 12
4 6
1 10
14 9
4 8
8 9
4 3
15 9
3 9
1 8
2 15
8 4
13 7
3 5
14 13
6 2
14 6
8 3
4 2
8 13
9 2
6 13
12 11
6 4
11 8
15 5
3 8
10 8
15 7
15 6
12 15
8 12
13 9
12 9
8 15
11 6
6 7
10 4
2 8
11 12
7 9
7 12
14 1
5 8
10 9
3 7
7 13
11 9
11 10
1 5
1 3
2 1
2 7
10 1
10 15
7 14
5 6
6 1
15 10
5 15
15 8
5...

output:

717458968

result:

ok single line: '717458968'

Test #9:

score: 10
Accepted
time: 78ms
memory: 6892kb

input:

15 140
7 10
9 12
4 6
1 10
14 9
4 8
8 9
4 3
15 9
3 9
1 8
2 15
8 4
13 7
3 5
14 13
6 2
14 6
8 3
4 2
8 13
9 2
6 13
12 11
6 4
11 8
15 5
3 8
10 8
15 7
15 6
12 15
8 12
13 9
12 9
8 15
11 6
6 7
10 4
2 8
11 12
7 9
7 12
14 1
5 8
10 9
3 7
7 13
11 9
11 10
1 5
1 3
2 1
2 7
10 1
10 15
7 14
5 6
6 1
15 10
5 15
15 8
5...

output:

459157220

result:

ok single line: '459157220'

Test #10:

score: 10
Accepted
time: 75ms
memory: 6888kb

input:

15 150
7 10
9 12
4 6
1 10
14 9
4 8
8 9
4 3
15 9
3 9
1 8
2 15
8 4
13 7
3 5
14 13
6 2
14 6
8 3
4 2
8 13
9 2
6 13
12 11
6 4
11 8
15 5
3 8
10 8
15 7
15 6
12 15
8 12
13 9
12 9
8 15
11 6
6 7
10 4
2 8
11 12
7 9
7 12
14 1
5 8
10 9
3 7
7 13
11 9
11 10
1 5
1 3
2 1
2 7
10 1
10 15
7 14
5 6
6 1
15 10
5 15
15 8
5...

output:

663282473

result:

ok single line: '663282473'