data/problems/9.yml
---
:id: 9
:name: Special Pythagorean triplet
:url: https://projecteuler.net/problem=9
:content: "A Pythagorean triplet is a set of three natural numbers, <var>a</var> \\<
<var>b</var> \\< <var>c</var>, for which,\n\n <var>a</var><sup>2</sup> + <var>b</var><sup>2</sup>
= <var>c</var><sup>2</sup>\n\nFor example, 3<sup>2</sup> + 4<sup>2</sup> = 9 + 16
= 25 = 5<sup>2</sup>.\n\nThere exists exactly one Pythagorean triplet for which
<var>a</var> + <var>b</var> + <var>c</var> = 1000. \nFind the product <var>abc</var>.\n\n"