#!/usr/bin/ python3.8 # %% import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines dp = [0, 1.0000000000000000, 1.0833333333333333, 1.2569444444444444, 1.5353009259259260, 1.6915991512345676, 2.0513639724794235] + [0] * 10 P = [0] * 7 for n in range(1, 6): x = dp[n + 1] - 1 for i in range(1, 7): x -= P[i] * dp[n + 1 - i] P[n] = x P[6] = 1 - sum(P) U = 10 ** 6 + 100 dp = [0] * U for n in range(1, U): x = 1 for i in range(1, 7): x += P[i] * dp[n - i] dp[n] = x Q, *N = map(int, read().split()) answers = (dp[n] for n in N) print('\n'.join(map(str, answers)))