# -*- coding: utf-8 -*-

# based http://garnacha.techblog.jp/archives/39531672.html

SHULESHOLD = 1000

N = SHULESHOLD
A = [0] * (N + 1)
B = [0] * (N + 1)

inv = 1.0 / 6

for i in range(N - 1, -1, -1):
    for j in range(1, 7):
        if i + j > N:
            A[i] += inv
            B[i] += inv
        else:
            A[i] += (A[i + j] + 1) * inv
            B[i] += B[i + j] * inv

T = int(raw_input())
for _ in range(T):

    N = int(raw_input())
    if N < SHULESHOLD:
        ans = A[SHULESHOLD - N] / (1 - B[SHULESHOLD - N])
        # 98回くらいで誤差が範囲内になった。
        print
    else:
        ans = (N + 5 / 3.0)

    print "%.15f" % ans