#!/usr/bin/python
N = int(1e6)
clue = [1.0833333333333333, 1.2569444444444444, 1.5353009259259260, 1.6915991512345676, 2.0513639724794235]
p = [0] * 6
E = [0] * (N+20)

def calc_exp(ha_times):
    for i in xrange(1, ha_times+1):
        E[i] = 1
        for j in xrange(6):
            dif = i-j-1
            if dif < 0:
                continue
            E[i] += E[dif] * p[j]

for i in xrange(5):
    lo, hi = 0., 1.
    for _ in xrange(100):
        p[i] = (lo + hi) / 2.
        calc_exp(i+2)
        if E[i+2] > clue[i]:
            hi = p[i]
        else:
            lo = p[i]

p[5] = 1 - sum(p[:5])

calc_exp(N+10)

t = int(raw_input())
for _ in xrange(t):
    n = int(raw_input())
    print E[n]