Describe how the number of comparisons used in the worst case changes when the size of the list to be sorted doubles from n to 2n, where n is a positive integer when these sorting algorithms are used.
a) bubble sort
b) insertion sort
c) selection sort (described in the preamble to Exercise 41 in Section 3.1)
d) binary insertion sort (described in the preamble to Exercise 47 in Section 3.1)
An n × n matrix is called upper triangular if aij = 0 whenever i > j.
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