Find the only non-repeating element in an array of pairs

Updated Apr 28, 2026

Short answer

XOR all elements together; pairs cancel out, leaving the unique one.

Deep explanation

This explores bitwise arithmetic and identity properties. XOR all elements together; pairs cancel out, leaving the unique one. These patterns are common in technical coding interviews.

Real-world example

Efficient memory allocation alignment checks.

Common mistakes

  • Not handling the case where n = 0 for power-of-two checks.

Follow-up questions

  • What is the time complexity?

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