QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#591547 | #7. 主旋律 | yanshanjiahong | 100 ✓ | 498ms | 7120kb | C++14 | 1.6kb | 2024-09-26 16:22:28 | 2024-09-26 16:22:28 |
Judging History
answer
#include<bits/stdc++.h>
#define rep(i,j,k) for(int i=j;i<=k;i++)
#define repp(i,j,k) for(int i=j;i>=k;i--)
#define ls(x) (x<<1)
#define rs(x) ((x<<1)|1)
#define mp make_pair
#define sec second
#define fir first
#define pii pair<int,int>
#define lowbit(i) i&-i
#define int long long
#define double long double
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
const int N=17,M=230,S=(1<<15)+5,inf=(ll)1e18+7,mo=1e9+7;
const double eps=1e-8;
void read(int &p){
int x=0,w=1;
char ch=0;
while(!isdigit(ch)){
if(ch=='-')w=-1;
ch=getchar();
}
while(isdigit(ch)){
x=(x<<1)+(x<<3)+ch-'0';
ch=getchar();
}
p=x*w;
}
int n,m;
pii e[M];
int dp[S],f[S],g[S],ans[S],pw[M];
bitset<M>ind[S],otd[S];
int getval(int x,int y){
return pw[(otd[x]&ind[y]).count()];
}
signed main(){
read(n),read(m);
pw[0]=1;
rep(i,1,m){
int x,y;
read(x),read(y);
e[i]=mp(x,y);
pw[i]=pw[i-1]*2%mo;
}
int tot=(1<<n)-1;
rep(st,0,tot){
rep(i,1,m){
if((st>>(e[i].fir-1))&1)otd[st][i]=1;
if((st>>(e[i].sec-1))&1)ind[st][i]=1;
}
}
g[0]=1;
rep(st,1,tot){
for(int nw=st;nw;nw=(nw-1)&st){
int targ=lowbit(st);
if(nw&targ==targ){
f[st]+=ans[nw]*g[st^nw]%mo;
g[st]+=ans[nw]*f[st^nw]%mo;
f[st]%=mo,g[st]%=mo;
}
}
for(int nw=st;;nw=(nw-1)&st){
if(nw==st)continue;
dp[st]+=(f[st^nw]-g[st^nw]+mo)%mo*getval(st^nw,nw)%mo*getval(nw,nw)%mo,dp[st]%=mo;
if(!nw)break;
}
ans[st]=(getval(st,st)-dp[st]+mo)%mo;
f[st]+=ans[st],f[st]%=mo;
//printf("%lld:%lld %lld %lld %lld\n",st,f[st],g[st],dp[st],ans[st]);
}
printf("%lld\n",ans[tot]);
return 0;
}
Details
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Pretests
Final Tests
Test #1:
score: 10
Accepted
time: 1ms
memory: 5872kb
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: 5820kb
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: 1ms
memory: 3872kb
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: 1ms
memory: 6116kb
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: 1ms
memory: 3804kb
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: 3ms
memory: 5952kb
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: 0ms
memory: 4136kb
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: 479ms
memory: 6832kb
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: 498ms
memory: 7120kb
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: 498ms
memory: 6848kb
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'