Selection sort

Selection sort is another sorting technique in which we find the minimum element in every iteration and place it in the array beginning from the first index. Thus, a selection sort also gets divided into a sorted and unsorted subarray.

Working of Selection Sort algorithm:

Lets consider the following array as an example: arr[] = {64, 25, 12, 22, 11}

First pass:

For the first position in the sorted array, the whole array is traversed from index 0 to 4 sequentially. The first position where 64 is stored presently, after traversing whole array it is clear that 11 is the lowest value.

64      25      12      22      11  

Thus, replace 64 with 11. After one iteration 11, which happens to be the least value in the array, tends to appear in the first position of the sorted list.

 11      25      12      22      64   

Second Pass:

For the second position, where 25 is present, again traverse the rest of the array in a sequential manner.

   11      25      12      22      64   

After traversing, we found that 12 is the second lowest value in the array and it should appear at the second place in the array, thus swap these values.

 11      12      25      22      64   

Third Pass:

Now, for third place, where 25 is present again traverse the rest of the array and find the third least value present in the array.

 11      12      25      22      64   

While traversing, 22 came out to be the third least value and it should appear at the third place in the array, thus swap 22 with element present at third position.

 11      12      22      25      64   

Fourth pass:

Similarly, for fourth position traverse the rest of the array and find the fourth least element in the array 
As 25 is the 4th lowest value hence, it will place at the fourth position.

   11      12      22      25      64   

Fifth Pass:

At last the largest value present in the array automatically get placed at the last position in the array
The resulted array is the sorted array.

11      12      22      25      64   

Introduction to Sorting Techniques – Data Structure and Algorithm Tutorials

Sorting refers to rearrangement of a given array or list of elements according to a comparison operator on the elements. The comparison operator is used to decide the new order of elements in the respective data structure.

When we have a large amount of data, it can be difficult to deal with it, especially when it is arranged randomly. When this happens, sorting that data becomes crucial. It is necessary to sort data in order to make searching easier.

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1. Selection sort

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Comparison of Complexity Analysis Between Sorting Algorithms:

NameBest Case  Average Case  Worst Case MemoryStable   Method UsedQuick Sort[Tex]n log n[/Tex][Tex]n log n[/Tex][Tex]n^{2}[/Tex][Tex]log n[/Tex]NoPartitioningMerge Sort[Tex]n log n[/Tex][Tex]n log n[/Tex][Tex]n log n[/Tex]nYesMergingHeap Sort[Tex]n log n[/Tex][Tex]n log n[/Tex][Tex]n log n[/Tex]1NoSelectionInsertion Sortn[Tex]n^{2}[/Tex][Tex]n^{2}[/Tex]1YesInsertionTim Sortn[Tex]n log n[/Tex][Tex]n log n[/Tex]nYesInsertion & MergingSelection Sort[Tex]n^{2}[/Tex][Tex]n^{2}[/Tex][Tex]n^{2}[/Tex]1NoSelectionShell Sort[Tex]n log n[/Tex][Tex]n^{4/3}[/Tex][Tex]n^{3/2}[/Tex]1NoInsertionBubble Sortn[Tex]n^{2}[/Tex][Tex]n^{2}[/Tex]1YesExchangingTree Sort[Tex]n log n[/Tex][Tex]n log n[/Tex][Tex]n log n[/Tex]nYesInsertionCycle Sort[Tex]n^{2}[/Tex][Tex]n^{2}[/Tex][Tex]n^{2}[/Tex]1NoSelectionStrand Sortn[Tex]n^{2}[/Tex][Tex]n^{2}[/Tex]nYesSelectionCocktail Shaker Sortn[Tex]n^{2}[/Tex][Tex]n^{2}[/Tex]1YesExchangingComb Sort[Tex]n log n[/Tex][Tex]n^{2}[/Tex][Tex]n^{2}[/Tex]1NoExchangingGnome Sortn[Tex]n^{2}[/Tex][Tex]n^{2}[/Tex]1YesExchangingOdd–even Sortn[Tex]n^{2}[/Tex][Tex]n^{2}[/Tex]1YesExchanging...

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