QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#116064 | #7. 主旋律 | DaiRuiChen007 | 100 ✓ | 1773ms | 4356kb | C++14 | 951b | 2023-06-28 08:46:03 | 2023-06-28 08:46:06 |
Judging History
answer
#include<bits/stdc++.h>
#define int long long
using namespace std;
const int MOD=1e9+7;
int dp[1<<15],f[1<<15][2];
//dp[S]: S is a SCC, f[S][0/1]: S contains even/odd SCCs
int s[256],t[256],p[256];
signed main() {
int n,m;
scanf("%lld%lld",&n,&m);
for(int i=0;i<m;++i) scanf("%lld%lld",&s[i],&t[i]),--s[i],--t[i];
for(int i=p[0]=1;i<=m;++i) p[i]=p[i-1]*2%MOD;
f[0][0]=1;
auto cnt=[&](int S,int T) {
//edge from S to T
int res=0;
for(int i=0;i<m;++i) if((S&(1<<s[i]))&&(T&(1<<t[i]))) ++res;
return res;
};
for(int S=1;S<(1<<n);++S) {
dp[S]=p[cnt(S,S)];
for(int T=S,lb=S&-S;T;T=(T-1)&S) if(T!=S&&(T&lb)) {
f[S][0]=(f[S][0]+dp[T]*f[S^T][1])%MOD;
f[S][1]=(f[S][1]+dp[T]*f[S^T][0])%MOD;
}
for(int T=S;T;T=(T-1)&S) {
//T are source SCCs
dp[S]=(dp[S]+(f[T][0]+MOD-f[T][1])*p[cnt(S,S^T)])%MOD;
}
f[S][1]=(f[S][1]+dp[S])%MOD; //S has 1 SCC
}
printf("%lld\n",dp[(1<<n)-1]);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 10
Accepted
time: 0ms
memory: 3588kb
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: 3548kb
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: 3608kb
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: 3644kb
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: 3608kb
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: 5ms
memory: 3556kb
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: 2ms
memory: 3800kb
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: 1539ms
memory: 4348kb
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: 1651ms
memory: 4356kb
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: 1773ms
memory: 4356kb
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'