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Is it always true that the bottom-up and top-down algorithms yield the same heap for the same input? a. Construct a heap for the list

Is it always true that the bottom-up and top-down algorithms yield the same heap for the same input?

a. Construct a heap for the list 1, 8, 6, 5, 3, 7, 4 by the bottom-up algorithm.

b. Construct a heap for the list 1, 8, 6, 5, 3, 7, 4 by successive key insertions (top- down algorithm).

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