Update adaptive_merge_sort.py

Author: anant-jain01

sorts/adaptive_merge_sort.py

@@ -1,61 +1,3 @@
-def adaptive_merge_sort(sequence: list) -> list:
-    """
-    Sorts a list using the Adaptive Merge Sort algorithm.
-
-    >>> adaptive_merge_sort([4, 3, 1, 2])
-    Initial sequence: [4, 3, 1, 2]
-    Sorting: array[0:2] and array[2:4]
-    Sorting: array[0:1] and array[1:2]
-    Merging: array[0:1] and array[1:2]
-    After merge: [3, 4]
-    Sorting: array[2:3] and array[3:4]
-    Skipping merge as array[2] <= array[3]
-    Merging: array[0:2] and array[2:4]
-    After merge: [1, 2, 3, 4]
-    Sorted sequence: [1, 2, 3, 4]
-    [1, 2, 3, 4]
-    """
-    if len(sequence) < 2:
-        return sequence
-
-    aux = sequence[:]
-    print(f"Initial sequence: {sequence}")
-    adaptive_merge_sort_helper(sequence, aux, 0, len(sequence) - 1)
-    print(f"Sorted sequence: {sequence}")
-    return sequence
-
-
-def adaptive_merge_sort_helper(array: list, aux: list, low: int, high: int) -> None:
-    """
-    Helper function for Adaptive Merge Sort algorithm.
-
-    >>> adaptive_merge_sort_helper([4, 3, 1, 2], [4, 3, 1, 2], 0, 3)
-    Sorting: array[0:2] and array[2:4]
-    Sorting: array[0:1] and array[1:2]
-    Merging: array[0:1] and array[1:2]
-    After merge: [3, 4]
-    Sorting: array[2:3] and array[3:4]
-    Skipping merge as array[2] <= array[3]
-    Merging: array[0:2] and array[2:4]
-    After merge: [1, 2, 3, 4]
-    """
-    if high <= low:
-        return
-
-    mid = (low + high) // 2
-    print(f"Sorting: array[{low}:{mid + 1}] and array[{mid + 1}:{high + 1}]")
-
-    adaptive_merge_sort_helper(aux, array, low, mid)
-    adaptive_merge_sort_helper(aux, array, mid + 1, high)
-
-    if array[mid] <= array[mid + 1]:
-        print(f"Skipping merge as array[{mid}] <= array[{mid + 1}]")
-        array[low : high + 1] = aux[low : high + 1]
-        return
-
-    merge(array, aux, low, mid, high)
-
-
 def merge(array: list, aux: list, low: int, mid: int, high: int) -> None:
     """
     Merges two sorted subarrays of the main array.
@@ -68,19 +10,20 @@ def merge(array: list, aux: list, low: int, mid: int, high: int) -> None:
 
     i, j = low, mid + 1
     for k in range(low, high + 1):
-        if i > mid or (j <= high and array[j] < array[i]):
+        if i > mid:
             aux[k] = array[j]
             j += 1
-        else:
+        elif j > high:
             aux[k] = array[i]
             i += 1
+        elif array[i] <= array[j]:
+            aux[k] = array[i]
+            i += 1
+        else:
+            aux[k] = array[j]
+            j += 1
 
     for k in range(low, high + 1):
         array[k] = aux[k]
 
     print(f"After merge: {array[low:high + 1]}")
-
-
-# Example usage
-if __name__ == "__main__":
-    print(adaptive_merge_sort([4, 3, 1, 2]))