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 14, Problem 8PP
Program Plan Intro

Finding all permutations for a set

Program Plan:

  • Include required file.
  • Define the structure for node.
    • Declare elements in “vector” type.
    • Declare variable for next value in “NodeValue” type.
  • Declare function for display permutations.
  • Declare function for compute permutations with recursively.
  • Declare function for display vector elements of set.
  • Define main function.
    • Call the function “displayPermutations” with one parameter.
  • Define function “displayPermutations”.
    • Create a pointer for node.
    • Declare the set in “vector” type.
    • Fill the set with first “n” whole elements.
    • Call the function “displayVectorElements” to print the vectors.
    • Then compute the permutation for given set by calling the function “recursivePermutations”.
    • Performs “while” loop. This loop executes until the pointer is equal to “NULL”.
      • Display the values in set by calling the function “displayVectorElements”.
      • Then delete and move to the next value.
  • Define function “recursivePermutations”.
    • This function is used to returns a list holding all of the permutations of the given list of elements.
    • In this function, first assign the pointer list to “NULL”.
    • Then performs base case if the size of the vector element is “1”. Otherwise performs recursive case.
    • Compute the permutations for smaller set of elements by recursively call the function “recursivePermutations”.
  • Define function “displayVectorElements”.
    • This function is used to display the elements of set.

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