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
