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DSA · Theory

Sorting Big Integers

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Theory

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Sorting Big Integers

Don’t start Sorting Big Integers with jargon. Start with names A→Z. That is the whole point.

Sorting Big Integers on the board — n log n vs n². Then say what names A→Z looks like after.

Sorting Big Integers exists so Neha can keep names A→Z correct in the roll list.

Neha ships Sorting Big Integers in the roll list. That is the use case worth saying.

Don’t do this with Sorting Big Integers — unstable sort when equal keys matter. Interviewers spot it in ten seconds.

Place Sorting Big Integers next to nearby DSA work — n log n vs n² is the link.

Viva for Sorting Big Integers — what it is → n log n vs n² → the mistake (unstable sort when equal keys matter).

Exam tip

For Sorting Big Integers: definition + the roll list + one failure.

Example

# Sorting Big Integers
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)

Sorting Big Integers: dry-run [4, 1, 3]. Say the list after one step.

Short notes

  • DefSorting Big Integers — Neha uses it for names A→Z in the roll list.
  • RuleSorting Big Integers → n log n vs n².
  • RememberSorting Big Integers + Big-O (the roll list).
  • UseSorting Big Integers in the roll list (names A→Z).
  • TrapSorting Big Integers — unstable sort when equal keys matter.
  • ExSorting Big Integers → names A→Z.

Questions

1

In one breath: what does Sorting Big Integers do for Neha?

2

When would Neha actually reach for Sorting Big Integers?

3

How do you catch unstable sort when equal keys matter?

4

Write the smallest Sorting Big Integers step on names A→Z. What happens?

Previous← Sort a linked list of 0s, 1s and 2sNextSort the array of strings according to alphabetical order defined by another string →
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