Optimized Bubble Sort
Optimized Bubble Sort Optimized bubble sort improves the basic version by stopping early when the array becomes sorted. During a pass, if no swaps occur, the algorithm concludes that the sequence is already ordered and terminates. This reduces unnecessary passes, especially for nearly sorted inputs. Problem Given a sequence $A$ of length $n$, reorder it such that $$ A[0] \le A[1] \le \cdots \le A[n-1] $$ Algorithm Track whether any...