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Unused Items

Reports the unused items in a partial permutation.
Controller: CodeCogs

Interface

C++

Unknown

 
std::vector<int> unused_itemsunknownintn
intnpart
int*part )
Given a whole positive number \inline  n, representing the size of the original permutation, a partial permutation \inline  \tau is one of size \inline  m < n that satisfies the following conditions: with

This function performs a linear search to find the unused items in the given partial permutation and returns them as a C++ vector object.

References:

SUBSET, a C++ library of combinatorial routines, http://www.csit.fsu.edu/~burkardt/cpp_src/subset/subset.html

Example 1

#include <codecogs/maths/combinatorics/permutations/unused_items.h>
#include <iostream>
int main()
{
  int alpha[5] = {1, 5, 2, 7, 9}, n = 10;
  std::vector<int> result = Maths::Combinatorics::Permutations::unused_items(n, 5, alpha);
  std::cout << "The unused values in the partial permutation Alpha are:";
  std::cout << std::endl;
  for (int i = 0; i < result.size(); i++)
    std::cout << result[i] << " ";
  std::cout << std::endl;
  return 0;
}
Output:
The unused values in the partial permutation Alpha are:
3 4 6 8 10

Returns

the unused items in the given partial permutation

Authors

Lucian Bentea (August 2005)
Source Code

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