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What is algorithm stability?

Shulou Source: shulou.com Published: 2022-06-03 02:57:28 10月03日 Update

What is algorithm stability? In view of this problem, this article introduces the corresponding analysis and answers in detail, hoping to help more partners who want to solve this problem to find a more simple and feasible way.

Algorithm stability means that in a group of records to be sorted, if there are any two equal records R and S, and R is before S in the records to be sorted, if R is still before S after sorting, that is, their positions do not change before and after sorting, then the sorting algorithm is said to be stable.

Algorithm stability: in a group of records to be sorted, if there are any two equal records R and S, and R is before S in the records to be sorted, if R is still before S after sorting, that is, their positions do not change before and after sorting, then the sorting algorithm is said to be stable.

Stability of common sorting algorithms

Heap sorting, quick sorting, Hill sorting and direct selection sorting are unstable sorting algorithms, while cardinality sorting, bubbling sorting, direct insertion sorting, half insertion sorting and merge sorting are stable sorting algorithms.

First of all, we should all know the stability of the sorting algorithm. Generally speaking, it can ensure that the first two equal numbers are in the same order before and after the sequence and after the sorting. In simple formalization, if Ai = Aj, the Ai is originally before the position, and the sorted Ai is still before the Aj position.

Second, talk about the benefits of stability. If the sorting algorithm is stable, sort from one key, and then sort from another key, and the result of the first key sort can be used for the second key sort. The cardinality sort is like this, first sort by the low order, and then by the high order, the elements with the same low order will not change when the order is the same as the high order.

The answer to the question about what is the stability of the algorithm is shared here. I hope the above content can be of some help to you. If you still have a lot of doubts to be solved, you can follow the industry information channel to learn more about it.

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