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P=(x+y)(z+t)\large P=(x+y)(z+t)P=(x+y)(z+t)
Let x,y,z,tx,y,z,tx,y,z,t be positive real numbers satisfying x2+y2+z2+t2=10x^2+y^2+z^2+t^2=10x2+y2+z2+t2=10 and xyzt=4xyzt=4xyzt=4.
If the maximum value of the expression is SSS, find ⌊100S⌋ \lfloor 100 S \rfloor ⌊100S⌋.
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