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Let x_1, x_2, \dots, x_{100} be real numbers.  If
x_1^2 + 2x_2^2 + \dots + 100x_{100}^2 = 1,
then find the maximum value of x_1/1 + x_2/2 + \dots + x_{100}/100.

 
 Mar 20, 2025

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