p = [0.0 for i in range(7)]
prob = [0.0 for i in range(1000001)]
ans = [0.0,1.0000000000000000,1.0833333333333333,1.2569444444444444,1.5353009259259260,1.6915991512345676,2.0513639724794235]

def calc(N):
    global prob
    for i in xrange(1,N):
        prob[i]=1.0
        for j in xrange(1,7):
            prob[i]+=prob[max(0,(i-j))]*p[j]

for i in range(1,6):
    left = 0.0
    right = 1.0
    for t in range(500):
        mid = (left+right)/2
        p[i]=mid
        p[6]=1
        for j in range(i+1):
            p[6]-=p[j]
        calc(i+2)
        if prob[i+1]>ans[i+1]:
            right=mid
        else:
            left=mid

#for i in range(1,7):
#    print p[i],
#print
calc(1000001)
        
T=int(raw_input())
for i in xrange(T):
    N=int(raw_input())
    print prob[N]