dp=[0]*100007
sample_v=[1.0000000000000000,
          1.0833333333333333,
          1.2569444444444444,
          1.5353009259259260,
          1.6915991512345676,
          2.0513639724794235,
          5.7894594000345325,
          13.789629635263326,
          27.122962962962941,
          267.12296296296188, ]
sample_k=[1, 2, 3, 4, 5, 6, 20, 50, 100, 1000]
for i in range(10):
    dp[sample_k[i]]=sample_v[i]

dp[0] = 0
for i in range(7, (10*6)+1):
    for j in range(1,7,1):
        dp[i] += dp[i-j]*dp[j]

T=int(input())
for _ in range(T):
    n = int(input())
    print(dp[n])