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Inequality
Problem - 1803
If $0 \le a_1 \le a_2 \le a_3 \le \cdots \le a_n \le 1$, find the maximum value of $$\sum_{1 \le i < j \le n}(a_j-a_i+1)^2+4 \sum_{i=i}^n a_i^2$$
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