Three algorithms A, B, and C, are under consideration for the Insert operation of a particular data
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Three algorithms A, B, and C, are under consideration for the Insert operation of a particular data set. Through an analysis of these algorithms, their speed functions have been determined to be: Algorithm A: 23n + 36n 2 ; Algorithm B: 6 + nlog 2 (n) + n; Algorithm C: log 2 n + 36n 2 .
(a) Calculate the value of these three functions when n , the number of nodes in the data structure, is equal to 1,000,000.
(b) Using Big-O analysis, calculate the value of each function.
(c) Determine the percent difference between the values calculated in parts (a) and (b) for each algorithm.
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