2023 CMO Problems/Problem 2
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such that for any positive integer 
and any real numbers 
, the following inequality holds:
![\[\sum_{i=1}^n \sum_{j=1}^n(n-|j-i|) x_i x_j \geq C \sum_{i=1}^n x_i^2\]](http://latex.artofproblemsolving.com/9/b/0/9b064612e98d033faee6fa01a15cd663eb4c1140.png)
