# SymPy | Permutation.parity() in Python

Permutation.parity() : parity() is a sympy Python library function that returns the parity of the permutation. It means the parity of the number of inversions in the permutation.

Syntax : sympy.combinatorics.permutations.Permutation.parity()

Return : next permutation in lexicographical parity

Code #1 : parity() Example

 `# Python code explaining ` `# SymPy.Permutation.parity() ` ` `  `# importing SymPy libraries ` `from` `sympy.combinatorics.partitions ``import` `Partition ` `from` `sympy.combinatorics.permutations ``import` `Permutation ` ` `  `# Using from sympy.combinatorics.permutations.Permutation.parity() method  ` ` `  `# creating Permutation ` `a ``=` `Permutation([[``2``, ``0``], [``3``, ``1``]]) ` ` `  `b ``=` `Permutation([``1``, ``3``, ``5``, ``4``, ``2``, ``0``]) ` ` `  ` `  `print` `(``"Permutation a - parity form : "``, a.parity()) ` `print` `(``"Permutation b - parity form : "``, b.parity()) `

Output :

Permutation a – parity form : 0
Permutation b – parity form : 1

Code #2 : parity() Example – 2D Permutation

 `# Python code explaining ` `# SymPy.Permutation.parity() ` ` `  `# importing SymPy libraries ` `from` `sympy.combinatorics.partitions ``import` `Partition ` `from` `sympy.combinatorics.permutations ``import` `Permutation ` ` `  `# Using from sympy.combinatorics.permutations.Permutation.parity() method  ` ` `  `# creating Permutation ` `a ``=` `Permutation([[``2``, ``4``, ``0``],  ` `                 ``[``3``, ``1``, ``2``], ` `                 ``[``1``, ``5``, ``6``]]) ` ` `  ` `  `print` `(``"Permutation a - parity form : "``, a.parity()) `

Output :

Permutation a – parity form : 0

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