Determine the time and space complexities of a linear search.(1 point)

Question

Responses

time complexity: O(log(n))

space complexity: O(log(n))

time complexity: upper O left parenthesis log left parenthesis n right parenthesis right parenthesis space complexity: upper O left parenthesis log left parenthesis n right parenthesis right parenthesis

time complexity: O(log(n))

space complexity: O(n)

time complexity: upper O left parenthesis log left parenthesis n right parenthesis right parenthesis space complexity: upper O left parenthesis n right parenthesis

time complexity: O(n)

space complexity: O(log(n))

time complexity: upper O left parenthesis n right parenthesis space complexity: upper O left parenthesis log left parenthesis n right parenthesis right parenthesis

time complexity: O(n)

Answer 1

The correct complexities for a linear search are:

• Time Complexity: O(n) - This is because in the worst case, you may need to look at every element in the list to find the target.
• Space Complexity: O(1) - Linear search uses a constant amount of space regardless of the size of the input; it does not require additional data structures that grow with the input size.

Given the options, it seems none of them accurately represent the time complexity (O(n)) and space complexity (O(1)) of a linear search. The closest provided responses include components of O(n), but they do not correctly identify the space complexity as O(1).