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Python | SymPy Permutation.from_inversion_vector() method
• Last Updated : 27 Aug, 2019

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])

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