SymPy | Permutation.parity() in Python

SymPy | Permutation.parity() in Python

Last Updated : 27 Aug, 2019

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

Python3 1=1

# 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

Python3 1=1

# 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

SymPy | Permutation.parity() in Python

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