What is the time complexity of inserting an element at a specific index in an ar

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Question: What is the time complexity of inserting an element at a specific index in an array?

Options:

Correct Answer: O(n)

Solution:

Inserting an element at a specific index in an array requires shifting elements, which takes O(n) time in the worst case.

What is the time complexity of inserting an element at a specific index in an array?

What is the time complexity of inserting an element at a specific index in an array?

Step 1: Understand that an array is a collection of elements stored in a specific order.
Step 2: Know that each element in an array has an index, which is its position (like 0 for the first element, 1 for the second, etc.).
Step 3: When you want to insert a new element at a specific index, you need to make space for it.
Step 4: To make space, you have to move all the elements that are currently at that index and to the right of it one position to the right.
Step 5: If you are inserting at the beginning or in the middle of the array, you may have to shift many elements.
Step 6: In the worst case, if you insert at the beginning of a large array, you will have to shift all the elements, which is 'n' elements.
Step 7: Therefore, the time it takes to insert an element at a specific index in an array is O(n) in the worst case.

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