Prove that for positive integers $x_{1},...,x_{n}$, we have $\prod_{1\leq i<j\leq n}(j-i)|\prod_{1\leq i<j\leq n}(x_{j}-x_{i})$
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Prove that for positive integers $x_{1},...,x_{n}$, we have $\prod_{1\leq i<j\leq n}(j-i)|\prod_{1\leq i<j\leq n}(x_{j}-x_{i})$