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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#831034#7. 主旋律AllenJYL100 ✓154ms11140kbC++143.0kb2024-12-25 09:30:312024-12-25 09:30:39

Judging History

你现在查看的是最新测评结果

  • [2024-12-25 09:30:39]
  • 评测
  • 测评结果:100
  • 用时:154ms
  • 内存:11140kb
  • [2024-12-25 09:30:31]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

#define int long long
#define ls (p<<1)
#define rs (p<<1|1)
#define mid ((l+r)>>1)
#define all(_array) (_array).begin(),(_array).end()
#define msp(_array) memset(_array,0x3f,sizeof _array)
#define ms0(_array) memset(_array,0,sizeof _array)
#define msn(_array) memset(_array,-1,sizeof _array)
#define mc(_tar,_array) memcpy(_tar,_array,sizeof _tar)
#define Yes cout<<"Yes"<<endl
#define No cout<<"No"<<endl
#define YES cout<<"YES"<<endl
#define NO cout<<"NO"<<endl
#define TAK cout<<"TAK"<<endl
#define NIE cout<<"NIE"<<endl
#define OK cerr<<"OK"<<endl
#define pii pair<int,int>
#define endl '\n'

bool bg_memory;
mt19937 rnd(time(0));
int Case=1;
const int mod=1e9+7;
const int inf=2147483647;
const int bs=233;
const double eps=1e-6;
const int N=16,M=1e5+7;

template<class _t1,class _t2>inline void cmax(_t1 &a,_t2 b){a=a<b?b:a;}
template<class _t1,class _t2>inline void cmin(_t1 &a,_t2 b){a=a>b?b:a;}
inline int qp(int a,int b,int p=mod){int res=1;while(b){if(b&1)res=1ll*res*a%p;a=1ll*a*a%p;b>>=1;}return res;}
inline int sqrt(int x,int r){int l=0,ans=0;while(l<=r){if(1ll*mid*mid<=x) ans=mid,l=mid+1;else r=mid-1;}return ans;}

int n,m;
int u,v;
int in[N][N];
int lg[1<<N];
int pw[N*N];
int deg[1<<N][N];
int self[1<<N];
int f[1<<N],g[1<<N];

void Main(){
    
    cin>>n>>m;
    pw[0]=1;
    for(int i=1;i<=m;i++) pw[i]=pw[i-1]*2%mod;
    for(int i=1;i<(1<<n);i++) lg[i]=lg[i>>1]+1;
    for(int i=1;i<=m;i++){
        cin>>u>>v;
        in[u][v]++;
    }
    for(int i=1;i<(1<<n);i++){
        for(int j=1;j<=n;j++){
            deg[i][j]=deg[i^(i&-i)][j]+in[lg[i&-i]][j];
            if(i&(1<<j-1)) self[i]+=deg[i][j];
        }
        self[i]=pw[self[i]];
    }
    g[0]=mod-1;
    for(int i=1;i<(1<<n);i++){
        g[i]=self[i];
        for(int j=(i-1)&i;j;j=(j-1)&i){
            int ump=0,x=j;
            while(x){
                ump+=deg[i^j][lg[x&-x]];
                x^=x&-x;
            }
            (g[i]+=mod-g[j]*self[i^j]%mod*pw[ump])%=mod;
        }
        (g[i]+=mod)%=mod;
        f[i]=g[i];
        int lb=i&-i,x=i^lb;
        if(!x) continue;
        for(int j=(x-1)&x;j;j=(j-1)&x){
            (f[i]+=f[j^lb]*g[x^j])%=mod;
        }
        (f[i]+=f[lb]*g[x])%=mod;
    }
    cout<<f[(1<<n)-1]<<endl;
    
    return;
}
string RdFile="";
bool en_memory;

signed main(){
    auto bg_clock=chrono::high_resolution_clock::now();
#ifdef ONLINE_JUDGE
    // freopen((RdFile+".in").c_str(),"r",stdin);
    // freopen((RdFile+".out").c_str(),"w",stdout);
#endif
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    // cin>>Case;
    while(Case--) Main();
    auto en_clock=chrono::high_resolution_clock::now();
    auto duration_clock=chrono::duration_cast<chrono::microseconds>(en_clock-bg_clock);
    double duration_count=duration_clock.count()*0.001;
    double memory_used=(&en_memory-&bg_memory)/1024.0/1024;
    // cerr<<"Time:"<<duration_count<<"ms"<<endl;
    // cerr<<"Memory: "<<memory_used<<"MB"<<endl;
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Pretests


Final Tests

Test #1:

score: 10
Accepted
time: 0ms
memory: 3732kb

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: 1ms
memory: 5720kb

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: 3752kb

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: 3828kb

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: 3700kb

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: 1ms
memory: 3888kb

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: 3892kb

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: 154ms
memory: 10892kb

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: 141ms
memory: 11140kb

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: 138ms
memory: 11084kb

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'