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An optimal,R(n2) lower,bound,is shown,for the time-space,product,of any,R-way branching,pro- gram,that,determines,those,values,which,occur exactly once in a list of n integers in the range [l, R] where,R 1 n. This Q(n2) tradeoff also applies,to the sorting problem,and thus improves,the previous time-space,tradeoffs,for sorting. Because,the R- way,branching,program,is a such a powerful,model these time-space product,tradeoffs also apply,to all models,of sequential,computation,that have,a fair measure,of space such as off-line multi-tape Turing machines,and,off-line log-cost RAMS.

A general Sequential Time-Space Tradeoff for Finding Unique Elements