Read the instruction and write an 1-2 pages essay. All instructions are attached. In the “union find assignment.pdf” there’s all the instruction. In the zip file, there are 9 programs I made. In the HW1. pdf, I drew a graph to indicate the results of each program, they show how each program unions. There are three big programs called quickfind, quickunion and weightquickunionfind. Each of these three programs has three different algorithms. Engineers first require to compare the efficiency and asymptotic bounds of each algorithm. Then, they compare the results from all kinds of algorithms in quickfind, quickunion and weightquickunionfind. The measure would be focusing on time efficiency and asymptotic bounds. Please write more about comparing.

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