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natita
1 month ago
5

How many comparisons are needed to locate or to add each of these words in the search tree for the words oenology, phrenology, c

ampanology, ornithology, ichthyology, limnology, alchemy, and astrology using alphabetic order starting fresh each time?
a) palmistry
b) etymology
c) paleontology
d) glaciology
English
1 answer:
seraphim [7.4K]1 month ago
8 0

Answer:

(a) 3

(b) 3

(c) 3

(d) 3

Explanation:

(a) When comparing palmistry to oenology, it is alphabetically later than oenology, therefore we proceed to assess it against phrenology. Here, palmistry comes first alphabetically, thus we compare it to ornithology. As ornithology lacks children, no further comparisons are required, leading to a total of 3 comparisons.

(b) In comparing etymology to oenology, it appears earlier alphabetically, prompting a comparison with campanology. Palmistry, is positioned afterwards alphabetically, leading us to compare it next with ichthyology. Etymology is ahead letter-wise and since ichthyology has no right-side children, we conclude with 3 comparisons.

(c) When assessing paleontology against oenology, it follows oenology in alphabetic order, hence a comparison with phrenology is necessary. Now, palmistry ranks first alphabetically so we move to ornithology. With ornithology showing no offspring, the process concludes after 3 comparisons.

(d) While comparing glaciology to oenology, glaciology is earlier alphabetically, prompting a review with campanology. Since palmistry appears next in succession, we then analyze it alongside ichthyology. Here, Glaciology leads alphabetically so we finalize with 3 comparisons

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