Problem Solving with C++ (10th Edition)
Problem Solving with C++ (10th Edition)
10th Edition
ISBN: 9780134448282
Author: Walter Savitch, Kenrick Mock
Publisher: PEARSON
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Chapter 18, Problem 7PP
Program Plan Intro

Permutations using “set” class

Program Plan:

  • Include required header file.
  • Include required “std” namespace.
  • Function declaration for display permutations, compute permutations, and display the content of list in set.
  • Define main function.
    • Call the function “displayPermutations” function.
  • Define “displayPermutations” function.
    • Declare variable “set1” in “set” template class.
    • Declare variable “p” in “set” template class with “list” class of “int” type.
    • Fill the set with the first “n” whole numbers.
    • Display given statement.
    • Initializes a variable “iter” to “0”.
    • Display permutation set using for loop.
    • Compute the possible set for given set by calling the function “computePermutations”.
    • Display the set elements by calling the function “displayLists”.
  • Define “computePermutations” function.
    • Declare variable “result” in “set<list<int> >”.
    • If the number size is equal to “1”, then push the iterator begin value to given list and then insert the list into set “result”.
    • Otherwise, recursively call the function “computePermutations”
  • Define “displayLists” function.
    • Display the content of list using “for” loop.

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9. Let L₁=L(ab*aa), L₂=L(a*bba*). Find a regular expression for (L₁ UL2)*L2. 10. Show that the language is not regular. L= {a":n≥1} 11. Show a derivation tree for the string aabbbb with the grammar S→ABλ, A→aB, B→Sb. Give a verbal description of the language generated by this grammar.
14. Show that the language L= {wna (w) < Nь (w) < Nc (w)} is not context free.
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