What is the time complexity of appending an element to the end of a dynamic arra

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Question: What is the time complexity of appending an element to the end of a dynamic array?

Options:

Correct Answer: O(n)

Solution:

Appending an element to a dynamic array can take O(n) time in the worst case when resizing is needed.

What is the time complexity of appending an element to the end of a dynamic array?

What is the time complexity of appending an element to the end of a dynamic array?

Step 1: Understand what a dynamic array is. A dynamic array is a data structure that can grow in size when needed.
Step 2: Know that appending means adding an element to the end of the array.
Step 3: When the dynamic array has enough space, appending an element takes constant time, O(1).
Step 4: If the dynamic array is full, it needs to resize. This involves creating a new larger array and copying all existing elements to it.
Step 5: The resizing process takes O(n) time, where n is the number of elements in the array.
Step 6: Therefore, in the worst case, appending an element can take O(n) time when resizing is needed.

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