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Sample Sort

Sample Sort orders large or partitioned data by coordinating smaller sorted pieces.

Quick Facts

Compact metadata for implementation and discovery.

Category
Sorting
Difficulty
Intermediate
Family
Sorting
Tier
Core
Status
Verified
Review
Source Checked
Sources
1
Formulas
0
Relationships
1
Code example
Ready
Visualization
Ready

Overview

Sample Sort is a sorting method that orders values by a named comparison, distribution, merge, or parallel network rule. It is useful when its stability, memory use, parallelism, or data-movement pattern fits the workload.

Core Concepts

ordering relationcomparison stepdata movementordering rulecomparisonrearrangement

Quick facts

Complexity

Runtime and memory behavior at a glance.

Best

O(n)

Average

O(n log n)

Worst

O(n log n)

Space

O(n)

When to Use

  • Use Sample Sort when its stability, memory, parallelism, or movement pattern fits the data.
  • Use it when the input shape is known enough to choose beyond a generic library sort.

When Not to Use

  • Avoid when a simpler standard library sort already gives the needed stability and performance.
  • Avoid when the method's memory or data-movement pattern conflicts with the storage medium.

What It Does

  • Reorders items by key
  • Compares, partitions, merges, or distributes records
  • Returns a sorted sequence

Use Cases

  • Preparing data for search
  • Ranking records
  • External or parallel ordering

Inputs

  • Unordered collection
  • Comparison or key function

Outputs

  • Ordered collection
  • Partitioned or partially ordered collection

Pseudocode

  1. 1.Split, compare, distribute, or merge items according to the method
  2. 2.Maintain the method's ordering invariant
  3. 3.Move records into progressively more ordered positions
  4. 4.Repeat until every item is ordered
  5. 5.Return the sorted collection

Canonical Example

Input
values = [4, 1, 3, 2]
Output
[1, 2, 3, 4]
Explanation
Sample Sort applies its ordering rule until all values are in sorted order.

Implementation Notes

  • Document whether equal keys preserve original order.
  • Benchmark on realistic input shapes, not only random arrays.

Common Pitfalls

  • Mixing stable and unstable variants can reorder equal keys unexpectedly.
  • Ignoring cache or external-memory behavior can dominate theoretical complexity.

Interactive Mechanism Walkthrough

Array Partition & Ordering Trace

Show elements moving through compare, swap, merge, or distribution steps.

38
[0]
14
[1]
52
[2]
23
[3]
61
[4]
19
[5]
44
[6]
29
[7]
Step 1 of 5: Split, compare, distribute, or merge items according to the method
sorting

Notes

Sample Sort operates in O(n log n) time and O(n) space within the Sorting family. Often compared with Merge Sort and Quick Sort.

Sources (1)

What each reference supports for this entry.

Introduction to Algorithms (CLRS)

Book

Textbook support for Sample Sort invariants, recurrences, relaxation rules, or asymptotic analysis.

Open source

Explore Next

Good next jumps from the relationship graph, ranked for useful discovery.

Conceptual neighborMerge Sort

Sample Sort and Merge Sort address nearby sorting problems but make different implementation tradeoffs.

Tags

Sorting