Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present an average case analysis of a variant of dual-pivot quicksort.  show that the used algorithmic partitioning strategy is optimal, i.e., it minimizes the expected number of key comparisons. For the analysis,  calculate the expected number of comparisons exactly as ll as asymptotically, in particular,  provide exact expressions for the linear, logarithmic, and constant terms. #R##N#An essential step is the analysis of zeros of lattice paths in a certain probability model. Along the way a combinatorial identity is proven.
['Martin Aumüller', 'Martin Dietzfelbinger', 'Clemens Heuberger', 'Daniel Krenn', 'Helmut Prodinger']
I am writing a research paper on a idea Dual-Pivot Quicksort: Optimality, Analysis and Zeros of Associated Lattice Paths
[{"from": "human", "value": "I am writing a research paper on a idea Dual-Pivot Quicksort: Optimality, Analysis and Zeros of Associated Lattice Paths"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present an average case analysis of a variant of dual-pivot quicksort.  show that the used algorithmic partitioning strategy is optimal, i.e., it minimizes the expected number of key comparisons. For the analysis,  calculate the expected number of comparisons exactly as ll as asymptotically, in particular,  provide exact expressions for the linear, logarithmic, and constant terms. #R##N#An essential step is the analysis of zeros of lattice paths in a certain probability model. Along the way a combinatorial identity is proven."}]