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=(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1-1/2)/(1-1/2)
=(1-1/2^2)(1+1/2^2)(1+1/2^4)(1+1/2^8)/(1/2)
=(1-1/2^4)(1+1/2^4)(1+1/2^8)/(1/2)
=2*(1-1/2^8)(1+1/2^8)
=2*(1-1/2^16)
=2-1/2^15
=(1-1/2^2)(1+1/2^2)(1+1/2^4)(1+1/2^8)/(1/2)
=(1-1/2^4)(1+1/2^4)(1+1/2^8)/(1/2)
=2*(1-1/2^8)(1+1/2^8)
=2*(1-1/2^16)
=2-1/2^15
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