What is the time complexity of inserting an element at the beginning of an array using swapping?

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What is the time complexity of inserting an element at the beginning of an array using swapping?

The time complexity of inserting an element at the beginning of an array using swapping is O(n), where n is the number of elements in the array.

When inserting an element at the beginning of an array, we need to shift all the existing elements to the right to make space for the new element. This shifting operation requires iterating through each element of the array and moving it one position to the right. Therefore, the time complexity is directly proportional to the number of elements in the array.

In the worst-case scenario, where the array is already full and we need to shift all elements, the time complexity will be O(n). However, if the array has empty or available space at the beginning, the time complexity can be reduced to O(1) as we can directly insert the element without shifting any elements.

It's important to note that the time complexity may vary depending on the specific implementation and programming language used. Additionally, if the array is implemented as a dynamic array or an ArrayList, the time complexity of inserting an element at the beginning may differ due to the underlying resizing and copying mechanisms.