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DSA · Theory

Number of Great Partitions

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Theory

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Number of Great Partitions

Ananya only reaches for Number of Great Partitions when Number of Great Partitions on Ananya's board has to stay correct in a first job task.

For Number of Great Partitions, a dry-run table is in play. Don’t blame it until you have traced Number of Great Partitions on Ananya's board.

Without Number of Great Partitions, a first job task gets messy and Number of Great Partitions on Ananya's board is hard to trust.

Number of Great Partitions shows up in a first job task. Name Number of Great Partitions on Ananya's board, not “a real-world scenario”.

Number of Great Partitions trap: skipping the failure case for Number of Great Partitions. Ananya loses marks for that every viva.

Number of Great Partitions is not a lonely heading. Ananya ties it to Number of Great Partitions on Ananya's board.

One breath for Number of Great Partitions, then Number of Great Partitions on Ananya's board, then skipping the failure case for Number of Great Partitions. Sit down.

Exam tip

For Number of Great Partitions: definition + a first job task + one failure.

Example

# Number of Great Partitions
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)

Number of Great Partitions: dry-run [4, 1, 3]. Say the list after one step.

Short notes

  • DefNumber of Great Partitions — Ananya uses it for Number of Great Partitions on Ananya's board in a first job task.
  • RuleNumber of Great Partitions → one Number of Great Partitions step Ananya can write from memory.
  • RememberNumber of Great Partitions + a dry-run table (a first job task).
  • UseNumber of Great Partitions in a first job task (Number of Great Partitions on Ananya's board).
  • TrapNumber of Great Partitions — skipping the failure case for Number of Great Partitions.
  • ExNumber of Great Partitions → Number of Great Partitions on Ananya's board.

Questions

1

What is Number of Great Partitions? Teach it with Number of Great Partitions on Ananya's board.

2

When would Ananya actually reach for Number of Great Partitions?

3

How do you catch skipping the failure case for Number of Great Partitions?

4

Change one input on Number of Great Partitions on Ananya's board. Predict the new result.

Previous← Memory efficient doubly linked listNextNumber of Ways to Reach a Position after Exactly K Steps →
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