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Let a, b, c , d he real numbers such th...

Let `a, b, c , d` he real numbers such that `a + b+c+d = 10`, then the minimum value of `a^2 cot 9^@-b^2 cot 27^@+c^2 cot 63^@+d^2 cot 81^@` is `sqrtn ,(n in N)` find n.

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