import numpy as np from scipy.linalg import null_space K = int(input()) M = np.zeros((K, K + 1), dtype=int) M[:, -1] = 6 for i in range(K): M[i, i + 1:min(i + 7, K)] = 1 M[i, i] = -6 M[i, 0] += max(i + 6 - K, 0) Ker = null_space(M).flatten() print(Ker[0] / Ker[-1])