# A unit fraction contains 1 in the numerator. The decimal representation of the unit fractions with denominators 2 to 10 are given: # # 1/2 = 0.5 # 1/3 = 0.(3) # 1/4 = 0.25 # 1/5 = 0.2 # 1/6 = 0.1(6) # 1/7 = 0.(142857) # 1/8 = 0.125 # 1/9 = 0.(1) # 1/10 = 0.1 # Where 0.1(6) means 0.166666..., and has a 1-digit recurring cycle. It can be seen that 1/7 has a 6-digit recurring cycle. # # Find the value of d < 1000 for which 1/d contains the longest recurring cycle in its decimal fraction part. def longest_permutation(input): return input i = str(1.0/7.0) print(i) if "142857" in i: print(True)