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{"id": "A2", "kind": "answer", "problem": "Find the value of 2^10.", "golden_answer": "1024"}
{"id": "P1", "kind": "proof", "problem": "Let n be a positive integer. Prove that 1^2+2^2+\\dots+n^2 = n(n+1)(2n+1)/6.", "reference_solution": "Standard induction or combinatorial proof.", "guidelines": "Base case; inductive step; algebra correct; final closed form correct."}