QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#831034 | #7. 主旋律 | AllenJYL | 100 ✓ | 154ms | 11140kb | C++14 | 3.0kb | 2024-12-25 09:30:31 | 2024-12-25 09:30:39 |
Judging History
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'