Question

Determine the time and space complexities of a linear search.(1 point) 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(n) space complexity: O(n) time complexity: upper O left parenthesis n right parenthesis space complexity: upper O left parenthesis n 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))

Answer 1

A linear search algorithm, which involves checking each element of a list sequentially to find a target value, has the following complexities:

- **Time Complexity**: O(n) - In the worst case, you may need to check every single element in the list before finding the target or concluding that it's not present.
- **Space Complexity**: O(1) - The space used by the algorithm does not scale with the input size since it only requires a fixed amount of space for variables (for example, to store the index or the target).

Therefore, among the options given, none exactly match the correct complexities for a linear search. The complexities are properly summarized as:

- **Time Complexity**: O(n)
- **Space Complexity**: O(1)

If we strictly go by your question and the response options provided, please note to ensure you have the correct options next time to represent a linear search scenario accurately.