To practice implementing recursive algorithms Directions For this practice problem, you will implement a recursive solution to the problem of permuting the letters of a word to determine all of the anagrams of the word. Sample input and output: Enter a word: cat cat icta lact atc Itac tca As an example, let us assume that we have a list/array/container of characters word that contains a list of characters to permute. Base Case (if word is size one or empty): only one permutation exists Recursive Decomposition (if word is larger than the base case): every letter of the word will be the first character of a subset of permutations of the remaining letters. Thus, for each letter in word: o remove that letter from word to make a smaller Word. o get all the permutations of the letters in the smallerWord with a recursive call o add letter to the front of each of the permutations of smaller Word Implement this recursive decomposition. Be prepared to demonstrate your implementation on words of your lab instructor's choice. WARNING: Although your solution should be general and therefore able to handle words of any length, you will have to limit your tests to fairly short words. There are n! permutations of the letters in a word of length n. If n gets very large (e.g. 5! = 120), it will be hard for you to verify your solution. Test your program with words of length 4 or less.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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To practice implementing recursive algorithms
Directions
For this practice problem, you will implement a recursive solution to the problem of permuting the letters of a
word to determine all of the anagrams of the word.
Sample input and output:
Enter a word: cat
'cat
cta
lact
atc
Itac
tca
As an example, let us assume that we have a list/array/container of characters word that contains a list of
characters to permute.
●
Base Case (if word is size one or empty): only one permutation exists
Recursive Decomposition (if word is larger than the base case): every letter of the word will be the first
character of a subset of permutations of the remaining letters. Thus, for each letter in word:
O
remove that letter from word to make a smaller Word.
O
get all the permutations of the letters in the smallerWord with a recursive call
add letter to the front of each of the permutations of smallerWord
Implement this recursive decomposition. Be prepared to demonstrate your implementation on words of your
lab instructor's choice.
WARNING: Although your solution should be general and therefore able to handle words of any length, you
will have to limit your tests to fairly short words. There are n! permutations of the letters in a word of length n.
If n gets very large (e.g. 5! = 120), it will be hard for you to verify your solution. Test your program with words
of length 4 or less.
+
A
Transcribed Image Text:To practice implementing recursive algorithms Directions For this practice problem, you will implement a recursive solution to the problem of permuting the letters of a word to determine all of the anagrams of the word. Sample input and output: Enter a word: cat 'cat cta lact atc Itac tca As an example, let us assume that we have a list/array/container of characters word that contains a list of characters to permute. ● Base Case (if word is size one or empty): only one permutation exists Recursive Decomposition (if word is larger than the base case): every letter of the word will be the first character of a subset of permutations of the remaining letters. Thus, for each letter in word: O remove that letter from word to make a smaller Word. O get all the permutations of the letters in the smallerWord with a recursive call add letter to the front of each of the permutations of smallerWord Implement this recursive decomposition. Be prepared to demonstrate your implementation on words of your lab instructor's choice. WARNING: Although your solution should be general and therefore able to handle words of any length, you will have to limit your tests to fairly short words. There are n! permutations of the letters in a word of length n. If n gets very large (e.g. 5! = 120), it will be hard for you to verify your solution. Test your program with words of length 4 or less. + A
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