#include <iostream>
#include <bits/stdc++.h>
#include <map>
#define int long long
#define endl '\n'
//typedef pair<int,int> pii;
using namespace std;
const int N=3e5+10,M=3e6+10,inf=2e9;
int n,m;
int dis[200][200],c[200][200];
int a[N];
int flyod()
{
int res=inf;
for(int k=1;k<=n;k++)
{
for(int i=1;i<k;i++)
{
for(int j=i+1;j<k;j++)
{
res=min(res,dis[i][j]+c[i][k]+c[k][j]);
}
}
for(int i=1;i<=n;i++)
{
for(int j=1;j<=n;j++)
{
dis[i][j]=min(dis[i][j],dis[i][k]+dis[k][j]);
}
}
}
return res;
}
void solve()
{
cin>>n;
for(int i=1;i<=n;i++) cin>>a[i];
sort(a+1,a+1+n);
reverse(a+1,a+1+n);
while(n>0&&a[n]==0) n--;
if(n>=127) {cout<<3<<endl;return;}//鸽巢原理,1e18 63位,
for(int i=1;i<=n;i++)
{
for(int j=1;j<=n;j++)
{
if(i==j) continue;
if((a[i]&a[j]))
{
dis[i][j]=c[i][j]=1;
}
else
{
dis[i][j]=c[i][j]=inf;
}
}
}
//floyd求最小环
int ans=flyod();
if(ans==inf) {cout<<-1<<endl;}
else cout<<ans<<endl;
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int t=1;
//cin>>t;
while(t--) solve();
return 0;
}
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