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@@ -1,89 +1,36 @@
def send_to_goulag(input_list:list)-> list : import copy
"""Sorts a list of numbers using the unique "Goulag Sort" method.
This algorithm processes a list of numbers through a distinctive iterative and
recursive procedure, inspired by the "Stalin Sort" concept. Here's how it operates:
1. **Iterative Filtering:** It iterates through the main list. If an element
is found to be greater than its subsequent element, the subsequent element
is moved to a temporary holding list (`temp`). The main list then continues
with the remaining elements.
2. **Recursive Processing of Held Items:** If the `temp` list contains more than
one item, the `send_to_goulag` algorithm recursively processes `temp`. This
filtering and holding process continues until the sub-list contains a single
item or becomes empty.
3. **Partial Re-insertion:** After the recursive calls (or if `temp` was empty/single-item),
the algorithm attempts to re-insert the elements from `temp` back into the main list.
This re-insertion is performed by finding a suitable position where the held item
is less than the current element in the main list, maintaining a partial order.
4. **Final Appending:** Any remaining elements in `temp` that were not re-inserted
into the middle of the list are then appended to the end of the main list.
For a more detailed step-by-step explanation of the algorithm's flow, please refer to:
:ref:`goulag_sort_detailed_explanation`.
Args:
input_list (list): The list of numbers to be processed and sorted.
This list will be modified **in-place**.
Returns:
list: The list after being processed by the Goulag Sort algorithm. The result
is an ordered list.
Examples:
>>> from goulag_sort import send_to_goulag
>>> my_list = [5, 2, 8, 1, 9, 4]
>>> send_to_goulag(my_list)
[1, 2, 4, 5, 8, 9]
>>> empty_list = []
>>> send_to_goulag(empty_list)
[]
"""
idx = 0 def send_to_goulag(main_list:list)->list:
temp = [] if not main_list:
is_sorted = True return main_list
while True: itens_to_be_reinserted = []
if not input_list: main_list_copy = copy.deepcopy(main_list)
return [] i = 0
while i < len(main_list) - 1:
if main_list[i] > main_list[i+1]:
itens_to_be_reinserted.append(main_list[i+1])
main_list.pop(i+1)
if len(input_list)<=1:
return input_list
while idx < len(input_list) - 1:
if input_list[idx] > input_list[idx + 1]:
temp.append(input_list[idx + 1])
# pop(idx+1) é uma operação O(N) no pior caso
input_list.pop(idx + 1)
else: else:
idx += 1 i += 1
# Chamada recursiva (pode adicionar complexidade se for muito frequente) if not itens_to_be_reinserted and main_list == main_list_copy:
if len(temp) > 1: return main_list
temp = send_to_goulag(temp)
idx = 0
# Loop para reinserir elementos de 'temp' na lista principal
merge_two_sorted_lists_in_place(input_list,temp)
if temp:
input_list.extend(temp) # extend é O(k) onde k é o tamanho de temp
temp.clear()
for i in range(len(input_list) - 1): if len(itens_to_be_reinserted)>1:
if input_list[i] > input_list[i + 1]: itens_to_be_reinserted = send_to_goulag(itens_to_be_reinserted)
is_sorted = False
break i = 0
if is_sorted:
return input_list merge_two_sorted_lists_in_place(main_list,itens_to_be_reinserted)
main_list = send_to_goulag(main_list)
return main_list
def merge_two_sorted_lists_in_place(list1: list, list2: list) -> list: def merge_two_sorted_lists_in_place(list1: list, list2: list) -> list:
@@ -117,3 +64,6 @@ def merge_two_sorted_lists_in_place(list1: list, list2: list) -> list:
list2.clear() # Esvazia list2 list2.clear() # Esvazia list2
return list1 return list1