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# Permutation3

Progressively generates all the permutations of the given size.
Controller: CodeCogs   C++

## Class Permutation3

This class progressively generates all the permutations of the given size, while also giving the possibility to return the rank and parity of the current permutation.

## Example:

```#include <codecogs/maths/combinatorics/permutations/permutation3.h>
#include <iostream>
int main()
{
Maths::Combinatorics::Permutations::Permutation3 P(7);
std::cout << "The first 6 permutations of 7 elements:";
std::cout << std::endl;
for (int i = 0; i < 6; i++)
{
std::vector<int> alpha = P.getNext();
for (int j = 0; j < alpha.size(); j++)
std::cout << alpha[j] << " ";
if (P.isEven())
std::cout << "\tis even";
else
std::cout << "\tis odd";
std::cout << "\t rank = " << P.getRank();
std::cout << std::endl;
}
return 0;
}```

## Output:

```The first 6 permutations of 7 elements:
1 2 3 4 5 6 7   is even  rank = 1
1 2 3 4 5 7 6   is odd   rank = 2
1 2 3 4 7 5 6   is even  rank = 3
1 2 3 7 4 5 6   is odd   rank = 4
1 2 7 3 4 5 6   is even  rank = 5
1 7 2 3 4 5 6   is odd   rank = 6```

## References:

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

### Authors

Lucian Bentea (August 2005)
##### Source Code

Source code is available when you agree to a GP Licence or buy a Commercial Licence.

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