# Max and min

Algebra Level pending

Given that $$-1 \leq x_i \leq 2$$ for $$i=1, 2,..., n$$ such that $$\displaystyle \sum_{m=1}^n x_m = 19$$ and $$\displaystyle \sum_{m=1}^n x_m ^2 = 99 ,$$ find the ratio of the maximum and minimum values of $$\displaystyle \sum_{m=1}^n x_m ^3$$.

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