Parity & Invariants

Instead of tracking every detail of a process, track a coarse property that remains fixed or changes predictably.

What you'll learn

  • Track odd/even state without computing every exact intermediate value.
  • Explain why an operation preserves or toggles parity for all allowed inputs.
  • Use an invariant to prove an end state possible or impossible.
  • Choose a property that is actually preserved or changes predictably.

Before you start

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