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Let A = ((1,2,3),(0,0,0),(3,2,1)) and A^(n)=((a_(n),b_(n),c_(n)),(0,0,0),(c_(n),b_(n),a_(n))) AA n in N, If a= lim_(nrarroo)(1)/(2^(n-2))(a_(n)+b_(n)+c_(n)) then |a+3i|= ________

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