fix(guide): restructure curriculum guide articles (#36501)

* fix: restructure certifications guide articles
* fix: added 3 dashes line before prob expl
* fix: added 3 dashes line before hints
* fix: added 3 dashes line before solutions
This commit is contained in:
Randell Dawson
2019-07-24 00:59:27 -07:00
committed by mrugesh
parent c911e77eed
commit 1494a50123
990 changed files with 13202 additions and 8628 deletions

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@@ -1,9 +1,10 @@
---
title: Even Fibonacci Numbers
---
## Problem 2: Even Fibonacci Numbers
# Problem 2: Even Fibonacci Numbers
### Method:
---
## Problem Explanation
- A fibonacci sequence is a sequence where `fib(n) = fib(n-1) + fib(n-1)`.
- In this challenge we have to sum all the even numbers upto `nth` term in the sequence.
- Example for `fiboEvenSum(10)`:
@@ -13,34 +14,51 @@ title: Even Fibonacci Numbers
+ Sum of all even number in the above sequence is:
2 + 8 + 34 = 44
### Solution:
#### Relevant Links
- [Wikipedia](https://en.wikipedia.org/wiki/Fibonacci_number)
#### Basic Solution - Iterative:
---
## Solutions
<details><summary>Solution 1 (Click to Show/Hide)</summary>
Iterative
```js
function fiboEvenSum(n) {
let first = 1, second = 2, sum = 2, fibNum; // declaring and initializing variables
let first = 1,
second = 2,
sum = 2,
fibNum; // declaring and initializing variables
if (n <= 1) return sum; // edge case
for (let i = 3; i <= n; i++){ // looping till n
fibNum = first + second; // getting the ith fibonacci number
for (let i = 3; i <= n; i++) {
// looping till n
fibNum = first + second; // getting the ith fibonacci number
first = second;
second = fibNum;
if (fibNum%2 == 0) sum+=fibNum; // If even add to the sum variable
if (fibNum % 2 == 0) sum += fibNum; // If even add to the sum variable
}
return sum;
}
```
#### Advanced Solution - Recursive:
</details>
<details><summary>Solution 2 (Click to Show/Hide)</summary>
Recursive
```js
// We use memoization technique to save ith fibonacci number to the fib array
function fiboEvenSum(n){
const fib = [1, 1, 2];
// We use memoization technique to save ith fibonacci number to the fib array
function fiboEvenSum(n) {
const fib = [1, 1, 2];
let sumEven = fib[2];
function fibonacci(n){
if (n <= 1) return fib[n]; // base condition
else if (fib[n]) return fib[n]; // if the number exists in the array we cache it and return
function fibonacci(n) {
if (n <= 1) return fib[n];
// base condition
else if (fib[n]) return fib[n];
// if the number exists in the array we cache it and return
else {
fib[n] = fibonacci(n-1) + fibonacci(n-2); // otherwise calculcate and save it to the array
if (fib[n]%2 == 0) sumEven+=fib[n]; //if the number is even, add it to the sumEven variable
fib[n] = fibonacci(n - 1) + fibonacci(n - 2); // otherwise calculcate and save it to the array
if (fib[n] % 2 == 0) sumEven += fib[n]; //if the number is even, add it to the sumEven variable
return fib[n];
}
}
@@ -48,6 +66,6 @@ function fiboEvenSum(n){
return sumEven;
}
```
</details>
### References:
- [Wikipedia](https://en.wikipedia.org/wiki/Fibonacci_number)