Fixes - TheAlgorithms#8098 all soring algorithm

Author: anasadh

Diff for: Sorting/bubble_sort.py

@@ -0,0 +1,12 @@
+def bubblesort(arr):
+    n = len(arr)
+    for i in range(n):
+        for j in range(0, n - i - 1):
+            # Compare adjacent elements and swap if they are in the wrong order.
+            if arr[j] > arr[j + 1]:
+                arr[j], arr[j + 1] = arr[j + 1], arr[j]
+
+# Example usage:
+arr = [3, 6, 8, 10, 1, 2, 1]
+bubblesort(arr)
+print(arr)  # Output: [1, 1, 2, 3, 6, 8, 10]

Diff for: Sorting/heap_sort.py

@@ -0,0 +1,14 @@
+def heapsort(arr):
+    import heapq
+    # Convert the list into a min-heap.
+    heapq.heapify(arr)
+    sorted_arr = []
+    while arr:
+        # Pop elements from the heap to build the sorted array.
+        sorted_arr.append(heapq.heappop(arr))
+    return sorted_arr
+
+# Example usage:
+arr = [3, 6, 8, 10, 1, 2, 1]
+sorted_arr = heapsort(arr)
+print(sorted_arr)  # Output: [1, 1, 2, 3, 6, 8, 10]

Diff for: Sorting/insertion_sort.py

@@ -0,0 +1,14 @@
+def insertionsort(arr):
+    for i in range(1, len(arr)):
+        key = arr[i]
+        j = i - 1
+        # Move elements of arr[0..i-1] that are greater than key to one position ahead of their current position.
+        while j >= 0 and key < arr[j]:
+            arr[j + 1] = arr[j]
+            j -= 1
+        arr[j + 1] = key
+
+# Example usage:
+arr = [3, 6, 8, 10, 1, 2, 1]
+insertionsort(arr)
+print(arr)  # Output: [1, 1, 2, 3, 6, 8, 10]

Diff for: Sorting/merge_sort.py

@@ -0,0 +1,34 @@
+def mergesort(arr):
+    # Base case: If the list has 1 or 0 elements, it's already sorted.
+    if len(arr) <= 1:
+        return arr
+
+    def merge(left, right):
+        result = []
+        i = j = 0
+
+        # Merge the left and right sublists in sorted order.
+        while i < len(left) and j < len(right):
+            if left[i] < right[j]:
+                result.append(left[i])
+                i += 1
+            else:
+                result.append(right[j])
+                j += 1
+
+        # Append any remaining elements from left and right sublists.
+        result.extend(left[i:])
+        result.extend(right[j:])
+        return result
+
+    middle = len(arr) // 2
+    left = arr[:middle]
+    right = arr[middle:]
+
+    # Recursively merge and sort the left and right partitions.
+    return merge(mergesort(left), mergesort(right))
+
+# Example usage:
+arr = [3, 6, 8, 10, 1, 2, 1]
+sorted_arr = mergesort(arr)
+print(sorted_arr)  # Output: [1, 1, 2, 3, 6, 8, 10]

Diff for: Sorting/quick_sort.py

@@ -0,0 +1,20 @@
+def quicksort(arr):
+    # Base case: If the list has 1 or 0 elements, it's already sorted.
+    if len(arr) <= 1:
+        return arr
+
+    # Choose a pivot element (typically the middle element).
+    pivot = arr[len(arr) // 2]
+    
+    # Partition the list into three parts: elements less than, equal to, and greater than the pivot.
+    left = [x for x in arr if x < pivot]
+    middle = [x for x in arr if x == pivot]
+    right = [x for x in arr if x > pivot]
+
+    # Recursively sort the left and right partitions and concatenate the results.
+    return quicksort(left) + middle + quicksort(right)
+
+# Example usage:
+arr = [3, 6, 8, 10, 1, 2, 1]
+sorted_arr = quicksort(arr)
+print(sorted_arr)  # Output: [1, 1, 2, 3, 6, 8, 10]

Diff for: Sorting/selection_sort.py

@@ -0,0 +1,14 @@
+def selectionsort(arr):
+    for i in range(len(arr)):
+        min_index = i
+        for j in range(i + 1, len(arr)):
+            # Find the minimum element in the remaining unsorted portion of the array.
+            if arr[j] < arr[min_index]:
+                min_index = j
+        # Swap the found minimum element with the first element.
+        arr[i], arr[min_index] = arr[min_index], arr[i]
+
+# Example usage:
+arr = [3, 6, 8, 10, 1, 2, 1]
+selectionsort(arr)
+print(arr)  # Output: [1, 1, 2, 3, 6, 8, 10]