Merge sort

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Average performance

Θ ( n log ⁡ n ) {\displaystyle \Theta (n\log n)}

Best-case performance

Ω ( n log ⁡ n ) {\displaystyle \Omega (n\log n)} typical, Ω ( n ) {\displaystyle \Omega (n)} natural variant

Class

Sorting algorithm

Data structure

Array

Worst-case performance

O ( n log ⁡ n ) {\displaystyle O(n\log n)}

Worst-case space complexity

O ( n ) {\displaystyle O(n)} total with O ( n ) {\displaystyle O(n)} auxiliary, O ( 1 ) {\displaystyle O(1)} auxiliary with linked lists