Let \( f(x)=\left|\begin{array}{ccc}1 & x & x+1 \\ 2 x &amp...

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Let \( f(x)=\left|\begin{array}{ccc}1 & x & x+1 \\ 2 x & x(x-1) & (x+1) x \\ 3 x(x-1) & x(x-1)(x-2) & (x+1) x(x-1)\end{array}\right| \), then \( f(100) \) is equal to
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