Republish Pythagorean Triplet because of missing instructions. (#414)

* Republish Pythagorean Triplet because of missing instructions.

* Changed slug and uuid to the previous ones.

* Renamed exercise's directory.

* Changed modules' names and edited config of the exercise.

* Added new contributor.

Author: SimaDovakin

config.json

@@ -753,7 +753,7 @@
       },
       {
         "slug": "pythagorean-triplets",
-        "name": "pythagorean-triplets",
+        "name": "Pythagorean Triplet",
         "uuid": "630a11f5-e640-4e4d-af01-30f3bbcf495c",
         "practices": [],
         "prerequisites": [],

exercises/practice/pythagorean-triplets/.docs/instructions.md

@@ -0,0 +1,23 @@
+# Description
+
+A Pythagorean triplet is a set of three natural numbers, {a, b, c}, for which,
+
+```text
+a² + b² = c²
+```
+
+and such that,
+
+```text
+a < b < c
+```
+
+For example,
+
+```text
+3² + 4² = 5².
+```
+
+Given an input integer N, find all Pythagorean triplets for which `a + b + c = N`.
+
+For example, with N = 1000, there is exactly one Pythagorean triplet for which `a + b + c = 1000`: `{200, 375, 425}`.

exercises/practice/pythagorean-triplets/.docs/introduction.md

@@ -0,0 +1,19 @@
+# Introduction
+
+You are an accomplished problem-solver, known for your ability to tackle the most challenging mathematical puzzles.
+One evening, you receive an urgent letter from an inventor called the Triangle Tinkerer, who is working on a groundbreaking new project.
+The letter reads:
+
+> Dear Mathematician,
+>
+> I need your help.
+> I am designing a device that relies on the unique properties of Pythagorean triplets — sets of three integers that satisfy the equation a² + b² = c².
+> This device will revolutionize navigation, but for it to work, I must program it with every possible triplet where the sum of a, b, and c equals a specific number, N.
+> Calculating these triplets by hand would take me years, but I hear you are more than up to the task.
+>
+> Time is of the essence.
+> The future of my invention — and perhaps even the future of mathematical innovation — rests on your ability to solve this problem.
+
+Motivated by the importance of the task, you set out to find all Pythagorean triplets that satisfy the condition.
+Your work could have far-reaching implications, unlocking new possibilities in science and engineering.
+Can you rise to the challenge and make history?

exercises/practice/pythagorean-triplets/.meta/config.json

@@ -1,5 +1,8 @@
 {
   "authors": ["blakelewis"],
+  "contributors": [
+    "SimaDovakin"
+  ],
   "files": {
     "solution": [
       "pythagorean-triplets.rkt"
@@ -11,5 +14,7 @@
       ".meta/example.rkt"
     ]
   },
-  "blurb": "Find Pythagorean triplets with a given sum"
+  "blurb": "Given an integer N, find all Pythagorean triplets for which a + b + c = N.",
+  "source": "A variation of Problem 9 from Project Euler",
+  "source_url": "https://projecteuler.net/problem=9"
 }

exercises/practice/pythagorean-triplets/.meta/tests.toml

@@ -0,0 +1,31 @@
+# This is an auto-generated file.
+#
+# Regenerating this file via `configlet sync` will:
+# - Recreate every `description` key/value pair
+# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications
+# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion)
+# - Preserve any other key/value pair
+#
+# As user-added comments (using the # character) will be removed when this file
+# is regenerated, comments can be added via a `comment` key.
+
+[a19de65d-35b8-4480-b1af-371d9541e706]
+description = "triplets whose sum is 12"
+
+[48b21332-0a3d-43b2-9a52-90b2a6e5c9f5]
+description = "triplets whose sum is 108"
+
+[dffc1266-418e-4daa-81af-54c3e95c3bb5]
+description = "triplets whose sum is 1000"
+
+[5f86a2d4-6383-4cce-93a5-e4489e79b186]
+description = "no matching triplets for 1001"
+
+[bf17ba80-1596-409a-bb13-343bdb3b2904]
+description = "returns all matching triplets"
+
+[9d8fb5d5-6c6f-42df-9f95-d3165963ac57]
+description = "several matching triplets"
+
+[f5be5734-8aa0-4bd1-99a2-02adcc4402b4]
+description = "triplets for large number"