Challenge: Find the Egyptian Fraction

Given a positive fraction, break it down into its Egyptian fractions.

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Problem statement

Every positive fraction can be represented as the sum of its unique unit fractions. A fraction is a unit fraction if the numerator is 1 and the denominator is a positive integer. For example, 1/3 is a unit fraction. Such a representation is called Egyptian fraction.

Input

The inputs are two variables, numerator and denominator.

Output

The output is a string in the format n1/d1 , n2/d2 ...

Sample input

  numerator: 2

  denominator: 3

Sample output

       1/2, 1/6

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