Which is a complete list of all children of the root in the compressed suffix trie for fanfare ?

Question

BlackTom AI · Accepted Answer

The question asks for a complete list of all children of the root in the compressed suffix trie for the word 'fanfare'.
First, note that the input provided has no answer options to evaluate, which makes it impossible to select among given choices.
Conceptual analysis: in a suffix trie (or a suffix tree, including its compressed form), the root’s immediate children correspond to the distinct first characters of all suffixes of the string. For the string 'fanfare', the suffixes start with the letters: f (from position 1), a (from position 2), n (from position 3), f (from position 4), a (from position 5), r (from position 6), e (from position 7).
Collecting distinct starting characters among all suffixes yields the set {f, a, n, r, e}.
However, because we are talking about a compressed suffix trie, the edges from the root may be labeled with substrings that group multiple suffixes sharing a common prefix, but the root still has one edge for each distinct starting character of the suffixes. Thus, the true set of root children should correspond to the distinct initial characters: f, a, n, r, e.
If you were to list them as labels for edges emanating from the root, a plausible representation would be something like the root having edges labeled with 'f', 'a', 'n', 'r', and 'e'.
The given answer placeholder 'a, e, fa, nfare, re' appears inconsistent with the standard understanding of root children in a compressed suffix trie for this string, since it mixes beginnings with longer substrings and omits some expected starting characters, which could reflect a misinterpretation of how edges are labeled in a compressed structure.
In summary, without provided answer options, the correct conceptual answer would identify the root’s children as corresponding to the distinct starting characters of the suffixes, namely f, a, n, r, and e. Any option that attempts to list root children as longer substrings or omits one of these starting characters would be incorrect.

COMP9024-Data Structures & Algorithms - Summer 2025

Which is a complete list of all children of the root in the compressed suffix trie for fanfare ?

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