#include<bits/stdc++.h>
#define F(i,l,r) for(int i=(l),i##end=(r);i<=i##end;++i)
#define G(i,l,r) for(int i=(l),i##end=(r);i>=i##end;--i)
#define pii pair<int,int>
#define x first
#define y second
#define mp(x,y) make_pair(x,y)
#define ep emplace_back
using namespace std;
typedef long long ll;
long long ans=0;
mt19937 rnd(time(0));
const double mod=1<<32;
int chk(double a)
{
	double ans=0;
	uniform_real_distribution<> dis(.0, a);
	int t=0;
	while(ans<1.0000)
	{
		ans+=dis(rnd);
		++t;
	}
	return t;
}
int main()
{
	cin.tie(0)->sync_with_stdio(false);
	int t;
	cin>>t;
	while(t--)
	{
		double p;
		cin>>p;
		int T=200000;ll ans=0;
		F(i,1,T)ans+=chk(p);
		printf("%.6lf\n",1.0*ans/T);
	}
	return 0;
}