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AA, CP and EU jointly contributed to the conception, design, analysis of the algorithms, and jointly contributed to the writing and editing of the manuscript.
CMR improved the study design, implemented relevant parts of the algorithm, and contributed to data analysis.
YF and DG jointly contributed to the conception, design, analysis and interpretation of the algorithm, and jointly contributed to the writing and editing of the manuscript.
CH devised and implemented the GLAD algorithm, and contributed to the final preparation of the manuscript.
All authors jointly contributed to the design and analysis of the algorithms.
SJ contributed to the establishment of the algorithms and the manuscript.
On the other hand, my technical colleagues appreciated an alternate presentation, which included a deeper analysis of the algorithms at play.
'The New Average-Case Linear Time Algorithm' section describes our new algorithm and the computational time analysis of the algorithm.
ASR designed and performed the analysis of the algorithm.
AB designed the study and wrote the manuscript, ZD performed statistical data analysis, contributed to the conception and design of the algorithm and the writing of the manuscript, YN and TN contributed to functional analysis of the data, JM, DC and CW contributed to the conception and design of the study and helped writing the manuscript.
MSR verified the correctness of the algorithm and analysis.
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