yaworsw/euler-manager

---
:id: 152
:name: Writing 1/2 as a sum of inverse squares
:url: https://projecteuler.net/problem=152
:content: |+
  There are several ways to write the number 1/2 as a sum of inverse squares using _distinct_ integers.

  For instance, the numbers {2,3,4,5,7,12,15,20,28,35} can be used:

  ![]({{ images_dir }}/p152_sum.gif)

  In fact, only using integers between 2 and 45 inclusive, there are exactly three ways to do it, the remaining two being: {2,3,4,6,7,9,10,20,28,35,36,45} and {2,3,4,6,7,9,12,15,28,30,35,36,45}.

  How many ways are there to write the number 1/2 as a sum of inverse squares using distinct integers between 2 and 80 inclusive?