B'Little Petya likes numbers a lot. He found that number 123 in base 16 consists of two digits: the first is 7 and the second is 11. So the sum of digits of 123 in base 16 is equal to 18. Now he wonders what is an average value of sum of digits of the number A written in all bases from 2 to A xe2 x80 x89- xe2 x80 x891. Note that all computations should be done in base 10. You should find the result as an irreducible fraction, written in base 10. Input contains one integer number A (3 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89A xe2 x80 x89 xe2 x89 xa4 xe2 x80 x891000). Output should contain required average value in format xc2 xabX/Y xc2 xbb, where X is the numerator and Y is the denominator. In the first sample number 5 written in all bases from 2 to 4 looks so: 101, 12, 11. Sums of digits are 2, 3 and 2, respectively.'...