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Merge Sort

Merge Sort is an O(n log n) comparison-based sorting rule. Most implementations make a stable sort, meaning that the implementation preserves the input order of equal elements in the sorted output.

It starts by comparing every two elements (i.e., 1 with 2, then 3 with 4 and so on...) and swapping them if the first should arise after the second. It then merges each of the resulting lists of two into lists of four, then merges those lists of four, and so on, until at last two lists are merged into the final sorted list. Of the algorithms follow here, this is the first that scales well to very large lists, because its worst-case running time is O(n log n).

This follows the cypher and conquer movement in opposition to quick sort which is many consanguineous to conquer and divide. Merge sort divides the array and does the affect of recombining capture, the subparts afterwards whereas quick sort does the work of partitioning first and then divides into 2 smaller quick sorts.

Divide Method : Divide the n-element sequence to be sorted into two subsequences of n/2 elements each.

Conquer Method : Sort the two subsequences recursively using merge sort.

Combine Method : Merge the two sorted subsequences to produce one sorted sequence.

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