Tight bounds for the partial-sums problem

  title={Tight bounds for the partial-sums problem},
  author={Mihai Patrascu and Erik D. Demaine},
We close the gaps between known lower and upper bounds for the online partial-sums problem in the RAM and group models of computation. If elements are chosen from an abstract group, we prove an Ω(lg <i>n</i>) lower bound on the number of algebraic operations that must be performed, matching a well-known upper bound. In the RAM model with <i>b</i>-bit memory registers, we consider the well-studied case when the elements of the array can be changed additively by Δ-bit integers. We give a RAM… CONTINUE READING
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