How to determine the time complexity of searching for an element in a singly linked list or an array using lists as an example?

The time complexity of searching for an element depends on the data structure:

• Singly linked list: searching for an element requires sequential traversal from the beginning of the list to the desired element, as there is no direct access by index. In the worst case, you need to traverse the entire list — complexity O(n).

• Array (list in Python): access to an element by index occurs in constant time O(1), as elements are stored contiguously in memory. But if you need to find an element by value (without knowing the index), you have to iterate through the elements — O(n).

Example in Python:

# Search by value in a list
lst = [1, 2, 3, 4, 5]
value = 3
for i in lst:
    if i == value:
        print("Found")
        break

Here, the complexity is O(n), as in the worst case, all elements need to be checked.

In a singly linked list, searching by value is similar — iterating through elements from start to end.