Quick Sort vs Merge Sort
Quick Sort vs Merge Sort compared: speed, memory, stability, and worst case. Learn which O(n log n) algorithm to choose and why Quick Sort is often faster.
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'Quick Sort vs Merge Sort' is one of the most searched and most-debated topics in computer science — and for good reason. Both are elegant O(n log n) divide-and-conquer algorithms, yet they make opposite trade-offs. This guide compares them across every dimension that matters so you can pick the right one.
Head-to-head comparison #
| Property | Quick Sort | Merge Sort |
|---|---|---|
| Average time | O(n log n) | O(n log n) |
| Worst time | O(n²) | O(n log n) |
| Space | O(log n) | O(n) |
| Stable | No | Yes |
| In-place | Yes | No |
| Cache locality | Excellent | Poorer |
Why Quick Sort is usually faster #
Despite identical average complexity, Quick Sort typically runs 2-3x faster on in-memory arrays. It sorts in place with sequential memory access, so data stays in CPU cache, and its inner loop is tighter. Merge Sort's O(n) buffer causes cache misses and allocation overhead. Read the deep dive in why Quick Sort is faster.
Where Merge Sort wins #
Merge Sort wins when you need stability, a guaranteed O(n log n) worst case, or are sorting linked lists (which it handles with O(1) extra space). It is also the basis of external sorting for data too big for RAM, because it streams data sequentially. That reliability is why Java uses it for objects.
Which should you choose? #
For general in-memory array sorting, Quick Sort (or its hybrid Introsort) is the practical winner. When stability or worst-case guarantees matter, choose Merge Sort (or its hybrid Tim Sort). Most standard libraries actually use these hybrids. Watch both run side by side in the visualizer.
Why Quick Sort usually wins in practice #
Both algorithms are O(n log n) on average, so complexity alone cannot explain why Quick Sort is the one most standard libraries reach for on primitive arrays. Three practical factors do.
Cache locality. This is the big one. Quick Sort's partition step walks inwards from both ends of a contiguous block of memory, touching addresses that are near each other. Modern CPUs load memory in cache lines and aggressively prefetch sequential access, so almost every read Quick Sort makes is already in cache. Merge Sort, by contrast, streams between two source regions and a separate destination buffer, which means more cache misses and more memory traffic for the same number of comparisons.
No allocation. Quick Sort rearranges the array it was given. Merge Sort needs an O(n) buffer, and allocating it costs time, touches fresh pages, and doubles the memory footprint of the sort. For a large array that allocation alone can be a measurable fraction of the total runtime.
Smaller constant factors. The inner loop of partitioning is about as cheap as a loop gets: compare, maybe swap, move a pointer. Merging carries more bookkeeping per element — bounds checks on two runs, plus the copy back. Big-O deliberately discards these constants, but on real hardware they are what you actually wait for.
The caveat that matters. None of this makes Quick Sort the better default for every case. It is unstable and its worst case is O(n²), so if you are sorting objects by one field after another, or you cannot tolerate an unpredictable tail latency, Merge Sort's guarantees are worth more than Quick Sort's speed. That is precisely why Java uses dual-pivot Quick Sort for primitives and a Merge Sort derivative for objects — the same library making opposite choices for good reasons.
Frequently asked questions
Is Quick Sort or Merge Sort faster? +
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If both are O(n log n), why is Quick Sort faster? +
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See it in motion
Watch this algorithm and nine others run step by step, with live pseudocode and comparison counters.
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