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Sorting Algorithms · Non-Comparison Sorting

Counting Sort

Counting sort uses counts of known-range integer values to sort without comparing every pair of items.

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Student Focus

This introduces non-comparison sorting and the importance of input constraints.

Guided Lesson Notes

How Code Scholars teaches Counting Sort

This guide helps students understand the idea, implement it carefully, explain the runtime, and recognize when the pattern belongs in a larger problem.

In a session, students usually start with a small trace, then write or review code, then test edge cases. The final step is a short explanation: what the structure or algorithm stores, why it is correct, and what changes when the input grows.

Key Ideas

  • Value range constraints
  • Count array
  • Stable reconstruction

Practice Prompts

  • Sort test scores using counts.
  • Explain when counting sort is not memory-efficient.

Tutoring Connection

Turn the topic into usable problem-solving skill

Students can use this page before a lesson, after a difficult homework assignment, or while preparing for AP Computer Science A extensions, Advanced Topics in CS, USACO growth, or a college data structures course.

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