计算(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16)
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(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16)
=(1-1/2)(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16)/(1-1/2)
=(1-1/4)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16)/(1-1/2)
=...
=(1-1/2^32)/(1-1/2)
=(2^32-1)/2^31
=2-1/2^31
=(1-1/2)(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16)/(1-1/2)
=(1-1/4)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16)/(1-1/2)
=...
=(1-1/2^32)/(1-1/2)
=(2^32-1)/2^31
=2-1/2^31
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