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docs: add bubble sort (#346)
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60 changes: 60 additions & 0 deletions docs/en/Sorting/Bubble-Sort.md
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# Bubble Sort

Bubble Sort also known as Sinking Sort is the simplest sorting algorithm. It swaps the numbers if they are not in correct order. The Worst Case Time Complexity is O(n^2)

## Steps

1. Compares the first element with the next element.
2. If the first element is larger than the next element then the elements are swapped.
3. Step 2 is performed until the selected number is put to its correct position then the next element is compared.
4. Multiple passes are made until the sorting is completed.

## Example

Given array is
**5 1 4 2 8**

Sorted array is
**1 2 4 5 8**

Steps
**First Pass**

- ( **5 1** 4 2 8 ) → ( **1 5** 4 2 8 ), Here, algorithm compares the first two elements, and swaps since 5 > 1.
- ( 1 **5 4** 2 8 ) → ( 1 **4 5** 2 8 ), Swap since 5 > 4
- ( 1 4 **5 2** 8 ) → ( 1 4 **2 5** 8 ), Swap since 5 > 2
- ( 1 4 2 **5 8** ) → ( 1 4 2 **5 8** ), Now, since these elements are already in order (8 > 5), algorithm does not swap them.

**Second Pass**

- ( **1 4** 2 5 8 ) → ( **1 4** 2 5 8 )
- ( 1 **4 2** 5 8 ) → ( 1 **2 4** 5 8 ), Swap since 4 > 2
- ( 1 2 **4 5** 8 ) → ( 1 2 **4 5** 8 )
- ( 1 2 4 **5 8** ) → ( 1 2 4 **5 8** )

Now, the array is already sorted, but the algorithm does not know if it is completed. The algorithm needs one additional whole pass without any swap to know it is sorted.

**Third Pass**

- ( **1 2** 4 5 8 ) → ( **1 2** 4 5 8 )
- ( 1 **2 4** 5 8 ) → ( 1 **2 4** 5 8 )
- ( 1 2 **4 5** 8 ) → ( 1 2 **4 5** 8 )
- ( 1 2 4 **5 8** ) → ( 1 2 4 **5 8** )

## Implementation

- [C](../../../algorithms/C/sorting/bubble-sort.c)
- [C++](../../../algorithms/CPlusPlus/Sorting/bubble-sort.cpp)
- [CSharp](../../../algorithms/CSharp/src/Sorts/bubble-sort.cs)
- [Go](../../../algorithms/Go/sorting/bubble-sort.go)
- [Java](../../../algorithms/Java/sorting/bubble-sort.java)
- [JavaScript](../../../algorithms/JavaScript/src/sorting/bubble-sort.js)
- [Python](../../../algorithms/Python/sorting/bubble_sort.py)

## Video URL

[Youtube Video about Bubble Sort](https://www.youtube.com/watch?v=Jdtq5uKz-w4&ab_channel=mycodeschool)

## Others

[Wikipedia](https://en.wikipedia.org/wiki/Bubble_sort)
17 changes: 13 additions & 4 deletions docs/en/Sorting/Merge-Sort.md
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# Merge Sort

Merge Sort is a Divide and Conquer algorithm. It divides the input array into two halves, calls itself for the two halves, and then merges the two sorted halves.

## Steps

1. Find the middle point to divide the array into two halves.
2. Call mergeSort for first half.
3. Call mergeSort for second half.
4. Merge the two halves sorted in step 2 and 3.

## Example
Given array is
**12 11 13 5 6 7**

Sorted array is
Given array is
**12 11 13 5 6 7**

Sorted array is
**5 6 7 11 12 13**

## Implementation

- [Java](../../../algorithms/Java/sorting/merge-sort.java)
- [C](../../../algorithms/C/sorting/merge-sort.c)
- [C++](../../../algorithms/CPlusPlus/Sorting/merge-sort.cpp)
- [JavaScript](../../../algorithms/JavaScript/src/sorting/merge-sort.js)
- [Python](../../../algorithms/Python/sorting/merge_sort.py)

## Video URL
[Youtube Video about Merge Sort](https://www.youtube.com/watch?v=jlHkDBEumP0)

[Youtube Video about Merge Sort](https://www.youtube.com/watch?v=jlHkDBEumP0)

## Others

[Wikipedia](https://en.wikipedia.org/wiki/Merge_sort)

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