What is the time complexity of inserting an element at a specific position in an array using shifting?

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What is the time complexity of inserting an element at a specific position in an array using shifting?

The time complexity of inserting an element at a specific position in an array using shifting is O(n), where n is the number of elements in the array.

When inserting an element at a specific position in an array using shifting, we need to shift all the elements after the insertion point to make space for the new element. This shifting operation requires iterating through the array and moving each element one position to the right.

In the worst case scenario, where the element needs to be inserted at the beginning of the array, we would need to shift all the elements in the array. This would require iterating through all n elements of the array and moving each element one position to the right. Therefore, the time complexity of this operation is O(n).

It is important to note that if the element is being inserted at the end of the array, the time complexity would be O(1) as no shifting is required. Similarly, if the element is being inserted at a specific position in the middle of the array, the time complexity would still be O(n) as we would need to shift the elements after the insertion point.