The algorithm divides the input list into two parts: the sublist of items already sorted, which is built up from left to right at the front (left) of the list, and the sublist of items remaining to be sorted that occupy the rest of the list. Selection Sort - selection sort is a sorting algorithm, specifically an in-place comparison sort. Mergesort is a divide and conquer algorithm that was invented by John von Neumann in 1945.Ĭonceptually, a merge sort works as follows:ġ)Divide the unsorted list into n sublists, each containing 1 element (a list of 1 element is considered sorted).Ģ)Repeatedly merge sublists to produce new sorted sublists until there is only 1 sublist remaining. Most implementations produce a stable sort, which means that the implementation preserves the input order of equal elements in the sorted output. Merge Sort - Merge sort (also commonly spelled mergesort) is an efficient, general-purpose, comparison-based sorting algorithm. Although the algorithm is simple, it is too slow and impractical for most problems even when compared to insertion sort. The algorithm, which is a comparison sort, is named for the way smaller elements "bubble" to the top of the list. The pass through the list is repeated until no swaps are needed, which indicates that the list is sorted. This little trick makes Bubble Sort an adaptive sorting algorithm.Bubble Sort - Bubble sort, sometimes referred to as sinking sort, is a simple sorting algorithm that repeatedly steps through the list to be sorted, compares each pair of adjacent items and swaps them if they are in the wrong order. If no elements were swapped, that means the array has already been sorted - so we can just stop the iterations early. The trick is to keep a flag that tracks whether we swapped any element in the last iteration. Note: There is a little trick we can do to require less than N iterations if the array is mostly sorted. For an array of N elements, we'll need a maximum of N iterations to get all the elements in the correct position. The above steps results in smaller elements bubbling to the beginning of the array.Īt the end of the first iteration, the smallest element is in the right position, at the end of the second iteration the second smallest element will be in the right position etc. Repeat steps 1 and 2 from the beginning of the array till the entire array is sorted.If the adjacent elements are in the wrong order, swap them.Iterate through the unsorted array comparing each pair adjacent elements.
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