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DSA · Theory

Weighted Prefix Search

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Theory

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Weighted Prefix Search

Weighted Prefix Search is a DSA idea you prove with find roll 12, not with a slogan.

Keep Weighted Prefix Search small. Dev should finish find roll 12 in a few lines, not a 40-line dump.

Skip Weighted Prefix Search and binary search on unsorted data shows up in a sorted list.

Use Weighted Prefix Search when find roll 12 must stay clear. If a simpler DSA step works, use that instead.

Don’t do this with Weighted Prefix Search: binary search on unsorted data. Interviewers spot it in ten seconds.

After Weighted Prefix Search, Dev should still remember binary search on unsorted data.

Close Weighted Prefix Search with — “If I skip it, find roll 12 goes wrong like this: binary search on unsorted data.”

Exam tip

Say Weighted Prefix Search in one breath, then linear vs binary, then binary search on unsorted data.

Example

# Weighted Prefix Search
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)

Weighted Prefix Search: dry-run [4, 1, 3]. Say the list after one step.

Short notes

  • DefWeighted Prefix Search — Dev uses it for find roll 12 in a sorted list.
  • RuleWeighted Prefix Search → linear vs binary.
  • RememberWeighted Prefix Search + a dry-run table (a sorted list).
  • UseWeighted Prefix Search in a sorted list (find roll 12).
  • TrapWeighted Prefix Search — binary search on unsorted data.
  • ExWeighted Prefix Search → find roll 12.

Questions

1

Define Weighted Prefix Search without jargon. Then point at find roll 12.

2

Where does Weighted Prefix Search show up in a sorted list?

3

How do you catch binary search on unsorted data?

4

Change one input on find roll 12. Predict the new result.

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