Problem 1909. Two fractions, one sum

Given a positive number x, write a MATLAB script that will tell you how many ways that the reciprocal of that number can be written as a sum of two reciprocals of integers. For example, 1/10 can be written as:

  • 1/11 + 1/110
  • 1/12 + 1/60
  • 1/14 + 1/35
  • 1/15 + 1/30
  • 1/20 + 1/20

The order of the fractions does not matter, so 1/11+1/110 is the same as 1/110+1/11. Therefore, two_fractions(10)=5. You do not need to output the fraction pairs themselves, only the total number of sums. Good luck!

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26.09% Correct | 73.91% Incorrect
Last Solution submitted on Dec 02, 2021

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