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Let the Cool Function fff be defined from the positive reals by f(x,y,z,t)=(x2+2x+1)(y2+2y+1)(z2+z+1)(t2+t+1)xyztf(x,y,z,t) = \frac{(x^{2} + 2x + 1)(y^{2} + 2y + 1)(z^{2} + z + 1)(t^{2} + t + 1)}{xyzt}f(x,y,z,t)=xyzt(x2+2x+1)(y2+2y+1)(z2+z+1)(t2+t+1) Find the minimum value of fff.
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