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Given that a1,a2,…,an,b1,b2,…,bna_1,a_2,\ldots,a_n,b_1,b_2,\ldots,b_na1,a2,…,an,b1,b2,…,bn are non-negative real numbers that sum to 10, find the minimum possible value of (∑i=1nai2+bi2)2.\left( \sum_{i=1}^{n} \sqrt{a_i^2+b_i^2}\right)^2.(i=1∑nai2+bi2)2.
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