two_sum is a Python function that takes in a list of integers (elements) and an integer number (num) and returns True if there exist two values in elements that add up to num, otherwise, function returns False. def two_sum(elements: List[int], num: int):     for i in range(len(elements)):         for j in range(i + 1):             if elements[i] + elements[j] == num:                 return True     return False Study above function and answer below questions:   A. What is time complexity of two_sum? B. Is it possible to improve on above algorithm performance (in terms of its asymptotic cost)? If yes, describe your algorithm, be detailed as much as possible.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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two_sum is a Python function that takes in a list of integers (elements) and an integer number (num) and returns True if there exist two values in elements that add up to num, otherwise, function returns False.

def two_sum(elements: List[int], num: int):

    for i in range(len(elements)):
        for j in range(i + 1):
            if elements[i] + elements[j] == num:
                return True

    return False

Study above function and answer below questions:

 

A. What is time complexity of two_sum?

B. Is it possible to improve on above algorithm performance (in terms of its asymptotic cost)? If yes, describe your algorithm, be detailed as much as possible.

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