def fill_fn(ps, fn, maxN): fn[1] = 1 fn[2] = 1 + ps[1] fn[3] = 1 + ps[2] + ps[1] * fn[2] fn[4] = 1 + ps[3] + ps[2] * fn[2] + ps[1] * fn[3] fn[5] = 1 + ps[4] + ps[3] * fn[2] + ps[2] * fn[3] + ps[1] * fn[4] fn[6] = 1 + ps[5] + ps[4] * fn[2] + ps[3] * fn[3] + ps[2] * fn[4] + ps[1] * fn[5] for i in range(7, maxN): fn[i] = 1 + sum(ps[j] * fn[i - j] for j in range(1, 7)) T = int(input()) Ns = [int(input()) for t in range(T)] maxN = max(Ns) ps = [0, 1/12, 1/6, 1/4, 1/12, 1/4, 1/6] fn = [0] * (maxN + 7) fill_fn(ps, fn, maxN + 7) for n in Ns: print(fn[n])