Addition-subtraction chain

An addition-subtraction chain, a generalization of addition chains to include subtraction, is a sequence a0, a1, a2, a3, ... that satisfies a 0 = 1 , {\displaystyle a_{0}=1,\,} for k > 0 , a k = a i ± a j for some 0 ≤ i , j < k .

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