#include <stdio.h>
#include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf 2000000001

int64_t mod_log(int64_t a, int64_t b, int64_t p) {
  int64_t g = 1;

  for(int64_t i = p; i; i /= 2) (g *= a) %= p;
  g = __gcd(g, p);

  int64_t t = 1, c = 0;
  for(; t % g; c++) {
    if(t == b){
		if(c!=0)return c;
	}
    (t *= a) %= p;
  }
  if(b % g) return -1;

  t /= g;
  b /= g;

  int64_t n = p / g, h = 0, gs = 1;

  for(; h * h < n; h++) (gs *= a) %= n;

  unordered_map< int64_t, int64_t > bs;
  for(int64_t s = 0, e = b; s < h; bs[e] = ++s) {
    (e *= a) %= n;
  }

  for(int64_t s = 0, e = t; s < n;) {
    (e *= gs) %= n;
    s += h;
    if(bs.count(e)){
		if(c+s-bs[e]!=0)return c + s - bs[e];
	}
  }
  return -1;
}
	
	
int main(){	

	int t;
	cin>>t;
	
	rep(_,t){
		long long n;
		cin>>n;
		
			int ans = mod_log(2,1,2*n-1);
			if(ans==-1)ans = 2*n-1;
			cout<<ans<<endl;
		
	}
	
    return 0;
}