This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <stdio.h>
#include <algorithm>
#include <string.h>
#define MOD 1000000007
using namespace std;
int adj[41][41];
int net[41];
int n,mx=1;
void f(int key)
{
int i,j;
bool flag = true;
for(i=1;i<=n;i++) {
if(net[i]==0)flag=false;
}
if(flag)return;
mx = max(key,mx);
for(i=1;i<=n;i++) {
for(j=i+1;j<=n;j++) {
if(adj[i][j] == 0) {
adj[i][j] = 1;
net[i] = 1;
net[j] = 1;
f(key+1);
}
}
}
}
unsigned long long rev(unsigned long long n)
{
unsigned long long int a[35],m=1000000007,sum=1;
int z,dt[15]={1,3,10,12,15,16,18,20,21,24,25,26,28,29,30};
a[0]=1;a[1]=n;
for(z=2;z!=35;z++)a[z]=(a[z-1]*a[z-1])%m;
for(z=0;z!=15;z++)sum=(sum*a[dt[z]])%m;
return sum;
}
int main()
{
int i,j;
unsigned long long cnt=0,sum=0;
scanf("%d",&n);
if(n==1) {
printf("0");
return 0;
}
for(i=1;i<=n;i++) {
for(j=i+1;j<=n;j++) {
adj[i][j] = 1;
net[i] = 1;
net[j] = 1;
f(2);
++cnt;
sum += mx;
mx=1;
memset(net,0,sizeof(net));
}
}
int g=__gcd(sum,cnt);
sum/=g;
cnt/=g;
printf("%llu",(sum*rev(cnt))%MOD);
return 0;
}
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