Assuming an efficient algorithm is designed to solve each problem below, give th

Question

Assuming an efficient algorithm is designed to solve each problem below, give the best- case (Ohm(b(n))) and worst-case (O(w(n))) time complexity of the algorithm, where b(n) and w(n) are the simplest and most-restrictive positive functions. Determining whether an array of n numbers contains at least one negative number. Calculating the range, the difference between the largest and smallest elements, in a sorted array of n numbers. Reversing a string of length n by swapping its characters. Determining whether an n-character string is a palindrome. Finding the correct combination for a lock that has a three-digit code

Explanation / Answer

1.) In best case, negative number will be at index 0 i.e. BIg-omega(1). In worst case, there will be no negative number in the array. Therefore, we need to traverse the complete array which means O(n).

2.) In sorted array of elements, range can be given as difference between largest and smallest element, which can be found at index 0 and index(array.length). In this case, best case and worst case time complexity are big-omega(1) and O(1).

3.) In this case, both best and worst case will have same time complexity i.e., big-omega(n) and O(n), respectively.

4.) In this case, both best and worst case will have same time complexity i.e., big-omega(n) and O(n), respectively.

5.) In best case it will take 1 step but in worst case, it wil take 10^3 = 1000 steps.

Hope it helps, do give your response.

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