Suppose we built a hash table for strings where the hash value (number) associated to each string is just the numeric value of its first character. (Lowercase 'a' is 97, 'b’ is 98, 'c' is 99, and so on, through 'p' at 112, 's' at 115, 'z' at 122, and on to a few special characters; numbers and capital letters are earlier in the sequence.) If we used the simplest implementation shown in class, separate chaining, where each bucket points to a possibly-empty list of values, adding the words "apple", “bag", “aardvark", and “badger" to an otherwise empty table with five buckets would give us something like this: 3 4 apple aardvark bag badger a. If we then added "snake" and "pear" to the hash table (in that order), where would they go? b. If we then increased the table size to have ten buckets, where would each of the six strings end up? c. Comment on the efficacy of just using the first letter of a string to compute its hash value.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Suppose we built a hash table for strings where the hash value (number)
associated to each string is just the numeric value of its first character.
(Lowercase 'a' is 97, 'b' is 98, 'c' is 99, and so on, through 'p' at 112, 's' at
115, z' at 122, and on to a few special characters; numbers and capital letters
are earlier in the sequence.) If we used the simplest implementation shown
in class, separate chaining, where each bucket points to a possibly-empty
list of values, adding the words "apple", "bag", “aardvark", and "badger"
to an otherwise empty table with five buckets would give us something like
се.
this:
3
аpple
aardvark
bag
badger
a. If we then added "snake" and "pear" to the hash table (in that order),
where would they go?
b. If we then increased the table size to have ten buckets, where would
each of the six strings end up?
c. Comment on the efficacy of just using the first letter of a string to
compute its hash value.
Transcribed Image Text:Suppose we built a hash table for strings where the hash value (number) associated to each string is just the numeric value of its first character. (Lowercase 'a' is 97, 'b' is 98, 'c' is 99, and so on, through 'p' at 112, 's' at 115, z' at 122, and on to a few special characters; numbers and capital letters are earlier in the sequence.) If we used the simplest implementation shown in class, separate chaining, where each bucket points to a possibly-empty list of values, adding the words "apple", "bag", “aardvark", and "badger" to an otherwise empty table with five buckets would give us something like се. this: 3 аpple aardvark bag badger a. If we then added "snake" and "pear" to the hash table (in that order), where would they go? b. If we then increased the table size to have ten buckets, where would each of the six strings end up? c. Comment on the efficacy of just using the first letter of a string to compute its hash value.
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