What is the difference between a deep copy and a shallow copy of a nested set with nested mutable elements in Python using recursion?
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In Python, when working with nested sets that contain mutable elements (such as other sets), you have the option to create deep copies or shallow copies. The difference between the two lies in how they handle the references to the nested mutable elements. Let's explore the concepts of deep copy and shallow copy using recursion: 1. Shallow Copy: - A shallow copy creates a new set object but references the same nested mutable elements as the original set. - If you modify one of the nested mutable elements in the shallow copy, the change will be reflected in the original set as well. - Shallow copy is performed using thecopy module or the set's copy methodcopy(). Here's an example that demonstrates shallow copy using recursion:

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   import copy
   
   original_set = {1, 2, {3, 4}, {5, 6}}
   
   shallow_copy = copy.copy(original_set)
   # Or: shallow_copy = original_set.copy()
   
   # Modifying a nested element in the shallow copy
   shallow_copy[2].add(10)
   
   print(original_set)  # Output: {1, 2, {3, 4, 10}, {5, 6}}
   print(shallow_copy)   # Output: {1, 2, {3, 4, 10}, {5, 6}}
   

In the example, modifying the set{3, 4, 10} in the shallow copy also affects the original set. This behavior occurs because both the original set and the shallow copy reference the same nested mutable elements. 2. Deep Copy: - A deep copy creates a completely independent copy of the original set and its nested mutable elements. - If you modify a nested mutable element in the deep copy, the original set remains unchanged. - Deep copy is performed using thecopy module. Here's an example that demonstrates deep copy using recursion:

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   import copy
   
   original_set = {1, 2, {3, 4}, {5, 6}}
   
   deep_copy = copy.deepcopy(original_set)
   
   # Modifying a nested element in the deep copy
   deep_copy[2].add(10)
   
   print(original_set)  # Output: {1, 2, {3, 4}, {5, 6}}
   print(deep_copy)# Output: {1, 2, {3, 4, 10}, {5, 6}}
   

In this example, modifying the set{3, 4, 10} in the deep copy does not affect the original set. The deep copy creates a new set object with its own independent copies of the nested mutable elements. When working with nested sets that contain mutable elements, it's important to consider whether you need a shallow copy or a deep copy based on your specific requirements. Shallow copy provides a more lightweight approach as it shares references, while deep copy ensures complete independence but may be less efficient for large and complex data structures.

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