bit manipulation plus brainteaser 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
Look for bit-level patterns in num1 that align with powers of 2 subtractions.
Solve rhythm
State the active state and invariant first, explain how each update preserves them, then pressure-test with counterexamples.
Most common miss
Failing to handle negative intermediate values when subtracting 2^i + num2.
Recognition signals
- Look for bit-level patterns in num1 that align with powers of 2 subtractions.
- Consider sequences where operations alternate between positive and negative deltas due to num2.
Solve flow
- 1. Define the active state/window.
- 2. Update state while preserving invariants.
- 3. Validate with edge-heavy examples.
Common misses
- Failing to handle negative intermediate values when subtracting 2^i + num2.
Recommended Ladder
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