If f(x)=|{:(1,x,x+1),(2x,x(x-1),(x+1)x),...

If `f(x)=|{:(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1)):}|` then

`-100`

`100!`

`-100!`

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