What is time complexity of basic Array operations?

The time complexity of basic array operations can vary depending on the specific operation being performed. Here is a detailed breakdown of the time complexities for common array operations:

Accessing an Element

• Time Complexity: $$O(1)$$
• Explanation: Accessing an element by its index in an array is a constant-time operation because the memory address of any element can be directly calculated using its index[1][3][6][7].

Searching for an Element

• Time Complexity: $$O(N)$$
• Explanation: In an unsorted array, searching for a specific element requires iterating through each element in the worst case, leading to linear time complexity[2][3][5].

Inserting an Element

• At the Beginning or Middle:
  • Time Complexity: $$O(N)$$
  • Explanation: Inserting an element at the beginning or middle of the array requires shifting the existing elements to make space, resulting in linear time complexity[3][4][7].
• At the End:
  • Time Complexity: $$O(1)$$ (amortized)
  • Explanation: If there is space available, appending an element at the end of the array takes constant time. However, if the array needs to be resized, the operation can take linear time, but this happens infrequently, so the amortized time complexity is constant[3][4].

Deleting an Element

• From the Beginning or Middle:
  • Time Complexity: $$O(N)$$
  • Explanation: Deleting an element from the beginning or middle of the array requires shifting the remaining elements to fill the gap, resulting in linear time complexity[3][4][7].
• From the End:
  • Time Complexity: $$O(1)$$
  • Explanation: Deleting the last element of an array can be done in constant time as no shifting of elements is required[3...