{"id":"xor-decode-deterministic","text":"Given `encoded` and `first`, the XOR decode produces exactly one valid original array — the decoding is unique because XOR is its own inverse (`a ^ b ^ b = a`).","truth_value":"IN","source":"entries/2026/06/06/decode-xored-array-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"xor-decode-deterministic","truth_value":"IN","reason":"premise"}]}}