searching and sorting in this casethere would be no need to sort the sequence but our implementation still performs all iterations because it has no way of knowing the sequence is already sorted the bubble sort algorithm can be improved by having it terminate early and not require it to perform all iterations when the sequence is in sorted order we can determine the sequence is in sorted order when no swaps are performed by the if statement within the inner loop at that pointthe function can return immediately without completing the remaining iterations if value is out of sorted orderthen it will either be smaller than its predecessor in the sequence or larger than its successor at which point the condition of the if statement would be true this improvementwhich is left as an exerciseintroduces best case that only requires (ntime when the initial input sequence is in sorted order selection sort second sorting algorithmwhich improves on the bubble sort and works in fashion similar to what human may use to sort list of valuesis known as the selection sort we can again use the set of playing cards to illustrate the algorithm and start by placing five cards face up on table that are to be sorted in ascending order instead of swapping the cards as was done with the bubble sortwe are going to scan through the cards and select the smallest from among those on the table and place it in our hand for our set of cardswe identify the as the smallest we pick up the and place it in our handleaving the remaining cards on the table cards on the table our hand we repeat the process and identify the as the next smallest face value cards on the table