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Let a1,a2,.........an be real numbers ...

Let `a_1,a_2,.........a_n` be real numbers such that `sqrt(a_1)+sqrt(a_2-1)+sqrt(a_3-2)++sqrt(a_n-(n-1))=1/2(a_1+a_2+.......+a_n)-(n(n-3)/4` then find the value of `sum_(i=1)^100 a_i`

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