Question
Show the output from the following sequence of priority queue ADT operations. The entries are key-element pairs, where sorting is based on the key value: insert( $5, a$ ), insert $(4, b),$ insert $(7, i),$ insert $(1, d),$ removeMin () insert $(3, j),$ insert $(6, c),$ removeMin(), removeMin(), insert $(8, g),$ remove$\operatorname{Min}(),$ insert $(2, h),$ removeMin(), removeMin().
Show the output from the following sequence of priority queue ADT operations. The entries are key-element pairs, where sorting is based on the key value: insert( $5, a$ ), insert $(4, b),$ insert $(7, i),$ insert $(1, d),$ removeMin () insert $(3, j),$ insert $(6, c),$ removeMin(), removeMin(), insert $(8, g),$ remove$\operatorname{Min}(),$ insert $(2, h),$ removeMin(), removeMin().
Answers
a) Use pseudocode to describe the algorithm that puts the first four terms of a list of real numbers of arbitrary length in increasing order using the insertion sort.
b) Show that this algorithm has time complexity $O(1)$ in terms of the number of comparisons used.
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