math plus sorting Pattern
Pattern hubs are for building transferable solving frames. Learn the recognition signals first, then drill state definition, update rules, and edge explanation until the pattern feels stable.
Pattern brief
Recognize first
Can the candidate handle edge cases like leading zeros and negative numbers effectively?
Solve rhythm
State the active state and invariant first, explain how each update preserves them, then pressure-test with counterexamples.
Most common miss
Forgetting to handle leading zeros for positive numbers.
Recognition signals
- Can the candidate handle edge cases like leading zeros and negative numbers effectively?
- Does the candidate demonstrate an understanding of sorting algorithms?
- Check if candidate handles repeated digits correctly.
Solve flow
- 1. Define the active state/window.
- 2. Update state while preserving invariants.
- 3. Validate with edge-heavy examples.
Common misses
- Forgetting to handle leading zeros for positive numbers.
- Forgetting that digits can repeat and pair with themselves.
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