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Omni-MATH / Find all permutations a₁,a₂,…,a₉ of 1,2,…,9 such that a₁+a₂+a₃+a₄=a₄+a₅+a₆+a₇=a₇+a₈+a₉+a₁ and a₁²+a₂²+a₃²+a₄²=a₄²+a₅²+a₆²+a₇²=a₇²+a₈²+a₉²+a₁² · Discussion

Discussing Find all permutations a₁,a₂,…,a₉ of 1,2,…,9 such that a₁+a₂+a₃+a₄=a₄+a₅+a₆+a₇=a₇+a₈+a₉+a₁ and a₁²+a₂²+a₃²+a₄²=a₄²+a₅²+a₆²+a₇²=a₇²+a₈²+a₉²+a₁² · Omni-MATH

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