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Article Update : Bubble sort #1078

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37 changes: 33 additions & 4 deletions Algorithms-BubbleSort.md → Algorithms-Bubble-Sort.md
Original file line number Diff line number Diff line change
@@ -1,4 +1,4 @@
# BubbleSort
# Algorithm Bubble Sort

Bubble sort is a simple sorting algorithm. This sorting algorithm is comparison based algorithm in which each pair of adjacent elements is
compared and elements are swapped if they are not in order. This algorithm does sorting in-place i.e. it does not creates a new array while
Expand All @@ -21,7 +21,7 @@ Second Pass:
( 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 our algorithm does not know if it is completed. The algorithm needs one whole pass without any
Now, the array is already sorted, but our algorithm does not know if it is completed. The algorithm needs one whole pass without any
swap to know it is sorted.

Third Pass:
Expand All @@ -31,7 +31,36 @@ Third Pass:
( 1 2 4 5 8 ) –> ( 1 2 4 5 8 )
```

#### C++ Implementation

```c++
// Function to implement bubble sort
void bubble_sort(int array[], int n)
{
// Here n is the number of elements in array
int temp;

for(int i = 0; i < n-1; i++)
{
// Last i elements are already in place
for(int j = 0; j < n-i-1; j++)
{
if (array[j] > array[j+1])
{
// swap elements at index j and j+1
temp = array[j];
array[j] = array[j+1];
array[j+1] = temp;
}
}
}
}
```

:rocket: [Run Code](https://repl.it/CXif)

#### Python Implementation

```python
def bubble_sort(arr):
exchanges = True # A check to see if the array is already sorted so that no further steps gets executed
Expand All @@ -43,7 +72,7 @@ def bubble_sort(arr):
exchanges = True
arr[j], arr[j+1] = arr[j+1], arr[j]
i -= 1

arr = [5,3,23,1,43,2,54]
bubble_sort(arr)
print(arr) # Prints [1, 2, 3, 5, 23, 43, 54]
Expand All @@ -54,4 +83,4 @@ print(arr) # Prints [1, 2, 3, 5, 23, 43, 54]

**Worst and Average Case Time Complexity:** O(n*n). Worst case occurs when array is reverse sorted i.e. the elements are in decreasing order

**Best Case Time Complexity:** O(n). Best case occurs when array is already sorted.
**Best Case Time Complexity:** O(n). Best case occurs when array is already sorted.