#include <bits/stdc++.h>
using namespace std;
int Q, k;
int solve(int a, int b)
{
    if (a==1) return b-1;
    if (b==1) return a-1;
    if (a>=b)
    {
        int mod=a%b, div=a/b;
        if (mod==0) return -1e9;
        return div+solve(mod, b);
    }
    else
    {
        int mod=b%a, div=b/a;
        if (mod==0) return -1e9;
        return div+solve(a, mod);
    }
}
int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin>>Q;
    while (Q--)
    {
        cin>>k;
        k+=2;
        int cnt=0;
        pair<int, int> ans={1e9, 0}; 
        for (int a=1; a<k-a; a++)
        {
            //cout<<"debug "<<a<<' '<<k-a<<' '<<solve(a, k-a)<<'\n';
            int tmp=solve(a, k-a);
            if (tmp>=0) cnt++, ans=min(ans, {tmp, a});
        }
        cout<<2*cnt<<'\n'<<-1<<'\n';
    }
}
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