What is the time complexity of inserting an element at the end of a dynamic arra

Practice Questions

Q1
What is the time complexity of inserting an element at the end of a dynamic array?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n^2)

Questions & Step-by-Step Solutions

What is the time complexity of inserting an element at 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 inserting an element at the end of a dynamic array is usually quick. This is called O(1) time complexity, meaning it takes constant time.
  • Step 3: Realize that sometimes, the dynamic array needs to make more space to fit the new element. This is called resizing.
  • Step 4: When resizing happens, the array has to copy all existing elements to a new, larger array. This takes longer, specifically O(n) time complexity, where n is the number of elements in the array.
  • Step 5: Understand that on average, most insertions will be O(1) because resizing doesn't happen every time you insert an element.
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