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An addition-subtraction chain is a sequence of integers that starts with a specific number and generates subsequent numbers through a series of addition and subtraction operations. The goal is often related to computing a specific integer efficiently, particularly in the context of algorithms, number theory, or computational mathematics. ### Definition An **addition-subtraction chain** involves: - Starting from an initial number, typically \( a_0 = 1 \).

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  1. Addition chains
  2. Sequences and series
  3. Mathematical analysis
  4. Fields of mathematics
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