import sys
input = sys.stdin.readline

def solve(x):
    OK=0
    NG=1<<60

    while NG>OK+10**(-6):
        mid=(OK+NG)/2

        DP=[0]*x

        for i in range(x-1,-1,-1):
            score=6
            
            for j in range(1,7):
                if i+j==x:
                    score+=0
                elif i+j>x:
                    score+=mid
                else:
                    score+=DP[i+j]

            if i!=0:
                DP[i]=score/6
            else:
                if score/6>mid:
                    OK=mid
                else:
                    NG=mid

    return OK

t=int(input())
for tests in range(t):
    N=int(input())

    if N<=150:
        print(solve(N))
    else:
        print(N+5/3)