Python | SymPy Permutation.from_inversion_vector() method

Permutation.from_inversion_vector() : from_inversion_vector() is a sympy Python library function that returns the permutation from the inversion vector.
Inversion Vector – The number of elements > ith element to the left of ith element in a permutation gives the ith element of the inversion vector.

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

Return :
permutation from the inversion vector

Code #1 : from_inversion_vector() Example

# Python code explaining
# SymPy.from_inversion_vector()

# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation

# Using from
# sympy.combinatorics.permutations.Permutation.from_inversion_vector() method

# creating vectors
a = [1, 0, 0, 0]

b = [6, 5, 4, 3, 0, 0 ]

# inversion forms
print ("vector a - from_inversion_vector form : ",
       Permutation.from_inversion_vector(a))
print ("vector b - from_inversion_vector form : ",
       Permutation.from_inversion_vector(b))

Output :

vector a – from_inversion_vector form : Permutation([1, 0], size=5)
vector b – from_inversion_vector form : Permutation([6, 5, 4, 3, 0, 1, 2])

Code #2 : from_inversion_vector() Example

# Python code explaining
# SymPy.from_inversion_vector()

# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation

# Using from
# sympy.combinatorics.permutations.Permutation.from_inversion_vector() method

# creating vector
a = [2, 3, 1, 0]

# inverted vector of a
print ("vector a - from_inversion_vector form : ",
       Permutation.from_inversion_vector(a))

Output :

vector a – from_inversion_vector form : Permutation([2, 4, 1, 0, 3])