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Insertion sort is a simple sorting algorithm that builds the final sorted array (or list) one item at a time by comparisons [1] in this sorting algorithm, the input is scanned from left to right, repeatedly finding the position of the current item, and inserting it into an array of previously sorted items It is much less efficient on large lists than more advanced algorithms such as quicksort, heapsort, or merge sort.

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The logical size and capacity of the final array are shown A classic example of an adaptive sorting algorithm is insertion sort If one is using a sorted dynamic array, then it is possible to insert and delete elements

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The insertion and deletion of elements in a sorted array executes at o (n), due to the need to shift all the elements following the element to be inserted or deleted

For each item in the array, loop backward and find where it needs to be inserted, then insert it at that position Move the items in an array to the left or right by some number of spaces, with values on the edges wrapping around to the other side. It begins with quicksort, it switches to heapsort when the recursion depth exceeds a level based on (the logarithm of) the number of elements being sorted and it switches to insertion. Bucket sort, or bin sort, is a sorting algorithm that works by distributing the elements of an array into a number of buckets

Each bucket is then sorted individually, either using a different sorting algorithm, or by recursively applying the bucket sorting algorithm. Sorting small arrays optimally (in the fewest comparisons and swaps) or fast (i.e Similarly optimal (by various definitions) sorting on a parallel machine is an open research topic.