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Let A(1), A(2), A(3), ........ be square...

Let `A_(1), A_(2), A_(3),` ........ be squares such that for each `n ge 1`, the length of the side of `A_(n)` equals the length of diagonal of `A_(n+1)`. If the length of `A_(1)` is 12 cm, then the smallest value of n for which area of `A_(n)` is less than one, is ______.

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