#include<iostream>
#include<cstring>
#include<algorithm>
#include<set>
#include<map>
#include<vector>
using namespace std;
typedef long long ll;
typedef pair<vector<int>,int> state;
map<state,ll> mp;
int n;
const ll MOD = 1e9+7;
ll mm(ll x,ll y){
x%=MOD;
if(y==0) return 1;
if(y==1) return x;
if(y%2) return mm(x,y-1)*x%MOD;
ll h = mm(x,y/2);
return h*h%MOD;
}
ll l_div(ll a,ll b){
return (a*mm(b,MOD-2))%MOD;
}
ll go(const state& st){
int trash = st.second;
const vector<int>& v = st.first;
if(v.size() == 1) return 0;
if(mp.count(st)){
return mp[st];
}
int depth = 0;
for(int x:v){
depth += x*(x-1)/2;
}
depth -= trash;
int left = n*(n-1)/2 - depth;
mp[st] = 0;
for(int i=0;i<v.size();i++){
for(int j=i+1;j<v.size();j++){
// combine v[i],v[j]
vector<int> vv;
for(int k=0;k<v.size();k++){
if(k!=i && k!=j) vv.push_back(v[k]);
}
vv.push_back(v[i]+v[j]);
sort(vv.begin(), vv.end());
state ns = make_pair(vv, trash + v[i]*v[j]-1);
mp[st] += ((go(ns)+1)%MOD * l_div(v[i]*v[j], left))%MOD;
mp[st] %= MOD;
}
}
if(trash)
mp[st] += ((go(make_pair(v, trash-1))+1)%MOD) * l_div(trash, left)%MOD;
mp[st] %= MOD;
return mp[st];
}
int main(){
cin>>n;
vector<int> v(n,1);
cout<<go(make_pair(v,0));
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
1728 KB |
Output is correct |
2 |
Correct |
0 ms |
1728 KB |
Output is correct |
3 |
Correct |
0 ms |
1728 KB |
Output is correct |
4 |
Correct |
0 ms |
1728 KB |
Output is correct |
5 |
Correct |
0 ms |
1728 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
1728 KB |
Output is correct |
2 |
Correct |
0 ms |
1728 KB |
Output is correct |
3 |
Correct |
0 ms |
1728 KB |
Output is correct |
4 |
Correct |
2 ms |
1728 KB |
Output is correct |
5 |
Correct |
0 ms |
1728 KB |
Output is correct |
6 |
Correct |
7 ms |
1728 KB |
Output is correct |
7 |
Correct |
13 ms |
1728 KB |
Output is correct |
8 |
Correct |
24 ms |
1860 KB |
Output is correct |
9 |
Correct |
43 ms |
1860 KB |
Output is correct |
10 |
Correct |
74 ms |
1992 KB |
Output is correct |
11 |
Correct |
121 ms |
2124 KB |
Output is correct |
12 |
Correct |
208 ms |
2388 KB |
Output is correct |
13 |
Correct |
340 ms |
2652 KB |
Output is correct |
14 |
Correct |
543 ms |
3180 KB |
Output is correct |
15 |
Correct |
852 ms |
3708 KB |
Output is correct |
16 |
Correct |
1328 ms |
4500 KB |
Output is correct |
17 |
Correct |
2038 ms |
5688 KB |
Output is correct |
18 |
Correct |
3081 ms |
7140 KB |
Output is correct |
19 |
Execution timed out |
4000 ms |
9120 KB |
Program timed out |
20 |
Halted |
0 ms |
0 KB |
- |