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DSA · Theory

Cycle Sort

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Theory

143/810

Cycle Sort

Cycle Sort is simple if you keep it on paper. Priya uses it for names A→Z in the roll list.

Do Cycle Sort once by hand. n log n vs n². Change one input. Say the new result out loud.

Without Cycle Sort, the roll list gets messy and names A→Z is hard to trust.

Priya ships Cycle Sort in the roll list. That is the use case worth saying.

If names A→Z breaks under Cycle Sort, check unstable sort when equal keys matter first.

Cycle Sort is not a lonely heading. Priya ties it to names A→Z.

One breath for Cycle Sort, then names A→Z, then unstable sort when equal keys matter. Sit down.

Exam tip

Board: names A→Z. Dry-run Cycle Sort. Name the trap: unstable sort when equal keys matter.

Example

# Cycle Sort
data = [4, 1, 3]
print("start", data)
if data[0] > data[1]:
    data[0], data[1] = data[1], data[0]
print("after one step", data)

Cycle Sort: dry-run [4, 1, 3]. Say the list after one step.

Short notes

  • DefCycle Sort — Priya uses it for names A→Z in the roll list.
  • RuleCycle Sort → n log n vs n².
  • RememberCycle Sort + Big-O (the roll list).
  • UseCycle Sort in the roll list (names A→Z).
  • TrapCycle Sort — unstable sort when equal keys matter.
  • ExCycle Sort → names A→Z.

Questions

1

Priya asks: why does Cycle Sort exist? Use names A→Z.

2

When would Priya actually reach for Cycle Sort?

3

How do you catch unstable sort when equal keys matter?

4

Write the smallest Cycle Sort step on names A→Z. What happens?

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