yaworsw/euler-manager

---
:id: 251
:name: Cardano Triplets
:url: https://projecteuler.net/problem=251
:content: |+
  A triplet of positive integers (<var>a</var>,<var>b</var>,<var>c</var>) is called a Cardano Triplet if it satisfies the condition:

   ![]({{ images_dir }}/p251_cardano.gif)

  For example, (2,1,5) is a Cardano Triplet.

  There exist 149 Cardano Triplets for which <var>a</var>+<var>b</var>+<var>c</var> ≤ 1000.

  Find how many Cardano Triplets exist such that <var>a</var>+<var>b</var>+<var>c</var> ≤ 110,000,000.