array math 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
Focus on in-place array manipulation rather than creating a new matrix.
Solve rhythm
State the active state and invariant first, explain how each update preserves them, then pressure-test with counterexamples.
Most common miss
Trying to rotate using an extra matrix, which violates in-place constraint.
Recognition signals
- Focus on in-place array manipulation rather than creating a new matrix.
- Check if candidate uses both transpose and row reversal, showing understanding of index math.
- Can the candidate handle the carry and array resizing efficiently?
Solve flow
- 1. Define the active state/window.
- 2. Update state while preserving invariants.
- 3. Validate with edge-heavy examples.
Common misses
- Trying to rotate using an extra matrix, which violates in-place constraint.
- Forgetting to handle carry-over when incrementing digits.
- Attempting to divide every number by all smaller numbers instead of using a sieve.
Recommended Ladder
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