def solve(N):
    if N > 100:
        return N + 5.0/3.0
    ps = [0] * (N + 6)
    hs = [0] * (N + 6)
    ps[0] = 1.0
    hs[0] = 0
    for i in range(N):
        difp = ps[i] / 6.0
        difh = (hs[i] + ps[i]) / 6.0
        for j in range(1, 7):
            ps[i + j] += difp
            hs[i + j] += difh
    fN = hs[N] / ps[N]
    gN = sum(hs[N + 1:])/sum(ps[N + 1:])
    return fN + gN * (1 - ps[N])/ps[N]

T = int(input())
for t in range(T):
    print(solve(int(input())))