Permutation.inversion_vector() : inversion_vector() is a sympy Python library function that returns the inversion_vector value of the permutation in argument.
The inversion vector includes those elements whose value indicates the no. of elements in the permutation that are < it and lie on its right hand side.
Syntax :
sympy.combinatorics.permutations.Permutation.inversion_vector()Return :
inversion_vector value of the permutation
Code #1 : inversion_vector() Example
# Python code explaining # SymPy.Permutation.inversion_vector()   # importing SymPy libraries from sympy.combinatorics.partitions import Partition from sympy.combinatorics.permutations import Permutation   # Using from sympy.combinatorics.permutations.Permutation.inversion_vector() method   # creating Permutation a = Permutation([[2, 0], [3, 1]])   b = Permutation([1, 3, 5, 4, 2, 0])     print ("Permutation a - inversion_vector form : ", a.inversion_vector()) print ("Permutation b - inversion_vector form : ", b.inversion_vector()) |
Output :
Permutation a – inversion_vector form : [2, 2, 0]
Permutation b – inversion_vector form : [1, 2, 3, 2, 1]
Code #2 : inversion_vector() Example – 2D Permutation
# Python code explaining # SymPy.Permutation.inversion_vector()   # importing SymPy libraries from sympy.combinatorics.partitions import Partition from sympy.combinatorics.permutations import Permutation   # Using from sympy.combinatorics.permutations.Permutation.inversion_vector() method   # creating Permutation a = Permutation([[2, 4, 0],                  [3, 1, 2],                  [1, 5, 6]])     print ("Permutation a - inversion_vector form : ", a.inversion_vector()) |
Output :
Permutation a – inversion_vector form : [3, 2, 2, 2, 0, 1]
