Consider the array:

"one" "ring" "to" "bring" "them" "all" "and" "in" "the" "darkness" "bind" "them"

If these items are sorted into descending order by the LSD Radix Sort algoirthm, which of the following is the resulting sequence?

Sequence A:

"to" "them" "them" "the" "ring" "one" "in" "darkness" "bring" "bind" "and" "all"

Sequence B:

"all" "and" "bind" "bring" "darkness" "in" "one" "ring" "the" "them" "them" "to"

Sequence C:

"in" "to" "all" "and" "one" "bind" "ring" "the" "them" "them" "bring" "darkness"

Sequence D:

"darkness" "bring" "them" "them" "ring" "bind" "the" "one" "and" "all" "to" "in"

Question

Consider the array:

"one"	"ring"	"to"	"bring"	"them"	"all"	"and"	"in"	"the"	"darkness"	"bind"	"them"

If these items are sorted into descending order by the LSD Radix Sort algoirthm, which of the following is the resulting sequence?

Sequence A:

"to"	"them"	"them"	"the"	"ring"	"one"	"in"	"darkness"	"bring"	"bind"	"and"	"all"

Sequence B:

"all"	"and"	"bind"	"bring"	"darkness"	"in"	"one"	"ring"	"the"	"them"	"them"	"to"

Sequence C:

"in"	"to"	"all"	"and"	"one"	"bind"	"ring"	"the"	"them"	"them"	"bring"	"darkness"

Sequence D:

"darkness"	"bring"	"them"	"them"	"ring"	"bind"	"the"	"one"	"and"	"all"	"to"	"in"

BlackTom AI · Accepted Answer

We start by restating the problem: sorting the given items, which are strings, in descending order using the LSD radix sort algorithm, and we must evaluate which of the provided sequences matches the result.

Option A describes the sequence: "to", "them", "them", "the", "ring", "one", "in", "darkness", "bring", "bind", "and", "all". To judge it, consider how LSD radix sort works: it sorts primarily by the least significant position (the last character), then proceeds leftward, maintaining stability. Under a descending order, the last characters determine the initial grouping inside each pass, with higher characters (like 't' > 's' > 'm' > ... depending on ASCII) placed earlier after the first pass, while the rest of the word characters come into play in subsequent passes. Comparing Option A to this expected behavior, we look at the ending characters of each word: e, m, m, e, g, e, n, s, g, d, d, l. The arrangement in A does not show a consistent descending grouping by last character first, and the stability across passes is not evidently preserved to yield A as the final result.

Option B lists: "all", "and", "bind", "bring", "darkness", "in", "one", "ring", "the", "them", "them", "to". If we trace by last characters, we would expect the items with higher final characters first, followed by smaller ones, and across passes, the order would reflect stability and positional significance. Here, we can spot that some words ending with higher-valued characters are not consistently leading; the sequence does not clearly reflect descending grouping by the LSD passes, making B unlikely as the correct LSD-descending result.

Option C presents: "in", "to", "all", "and", "one", "bind", "ring", "the", "them", "them", "bring", "darkness". This ordering places some words with relatively low last characters earlier (e.g., 'n' from "in" and 'o' from "to"), which contradicts the expected descending sweep from LSD passes. The last-character emphasis would not align with a descending sort that should progressively favor words with larger final characters first, so C is not consistent with LSD-descending behavior.

Option D provides: "darkness", "bring", "them", "them", "ring", "bind", "the", "one", "and", "all", "to", "in". Notably, this sequence starts with the word ending in 's' (darkness), which is a high last character in ASCII terms, and then places words ending with 'g', 'm', 'm', 'd', 'd', 'e', 'e', 'l', 'o', 'n' in a pattern that fits the notion of descending ordering when considering successive LSD passes and stability. The progression from a last character 's' to subsequent last-character groups ('g', 'm', 'd', 'e', 'l', 'o', 'n') aligns with descending categories across passes, and the internal ordering within ties (like the two "them" entries) preserves stability, which is a hallmark of LSD radix sort.

In summary, evaluating each option against the core mechanics of LSD radix sort in descending order—starting with the highest possible last-character group, then refining within ties across passes—the sequence that best matches these principles is the one starting with darkness and progressing through bring, them, them, ring, bind, the, one, and, all, to, in. The other options fail to maintain the expected descending last-character grouping or the stable ordering across passes, and thus do not represent the correct LSD-descending result.

XLMC0202501 Topic 24 Quiz

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