[Hacker Rank]: Project Euler #2: Even Fibonacci numbers. Documentation added.

Author: Gonzalo Diaz

algorithm-exercises-csharp/src/hackerrank/projecteuler/Euler002.cs

@@ -1,3 +1,5 @@
+// @link Problem definition [[docs/hackerrank/projecteuler/euler002.md]]
+
 namespace algorithm_exercises_csharp.hackerrank.prohecteuler;
 
 using System.Diagnostics.CodeAnalysis;

docs/hackerrank/projecteuler/euler002.md

@@ -0,0 +1,47 @@
+# [Even Fibonacci numbers](https://www.hackerrank.com/contests/projecteuler/challenges/euler002)
+
+- Difficulty: #easy
+- Category: #ProjectEuler+
+
+Each new term in the Fibonacci sequence is generated by adding the previous two terms.
+By starting with $ 1 $ and $ 2 $, the first $ 10 $ terms will be:
+
+$$ 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 $$
+
+By considering the terms in the Fibonacci sequence whose values do not exceed
+$ N $, find the sum of the even-valued terms.
+
+## Input Format
+
+First line contains $ T $ that denotes the number of test cases. This is
+followed by $ T $ lines, each containing an integer, $ N $.
+
+## Constraints
+
+- $ 1 \leq T \leq 10^5 $
+- $ 10 \leq N \leq 4 × 10^{16} $
+
+## Output Format
+
+Print the required answer for each test case.
+
+## Sample Input 0
+
+```text
+2
+10
+100
+```
+
+## Sample Output 0
+
+```text
+10
+44
+```
+
+## Explanation 0
+
+- For $ N = 10 $, we have $ \{2, 8\} $, sum is $ 10 $.
+
+- For $ N = 100 $, we have $ \{2, 8, 34 \} $, sum is $ 44 $.