Establish the time and space complexity class of the following algorithm Func(A[1..n],B[1..n]) s<-0; for 1<=y<=n do x<-y; while A[x]>B[y] and x=n do s<-s+x; x<-x+1; return s.
Understand the Problem
The question is asking to analyze the given algorithm to determine its time and space complexity classes. This involves examining the nested loops and conditions to understand how many operations are performed as a function of the input size.
Answer
Time complexity: O(n^2), Space complexity: O(1).
The time complexity of the algorithm is O(n^2) and the space complexity is O(1).
Answer for screen readers
The time complexity of the algorithm is O(n^2) and the space complexity is O(1).
More Information
The algorithm involves a nested loop structure. The outer loop runs n times, and the inner while loop can iterate up to n times for each iteration of the outer loop, leading to an O(n^2) time complexity. The algorithm uses a constant amount of additional space, resulting in an O(1) space complexity.
Tips
A common mistake is misinterpreting the condition in the while loop, leading to incorrect time complexity estimation. Ensure that the conditions for loop exits are clear.
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