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Solving a Two-Sum Variant

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Your question is Solving a Two-Sum Variant. Take a moment with it on the right.

Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).

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Problem

Tell me about how you would solve a two-sum variant problem from scratch, including how you handle edge cases and analyze time complexity.