Permutation.index() : index() is a sympy Python library function that returns the index value of the permutation in argument.
Index of a permutation = Sum of all subscripts j such that permutation[j] is greater than permutation[j+1].
Syntax :
sympy.combinatorics.permutations.Permutation.index()Return :
index value of the permutation
Code #1 : index() Example
# Python code explaining # SymPy.Permutation.index()   # importing SymPy libraries from sympy.combinatorics.partitions import Partition from sympy.combinatorics.permutations import Permutation   # Using from sympy.combinatorics.permutations.Permutation.index() method   # creating Permutation a = Permutation([[2, 0], [3, 1]])   b = Permutation([1, 3, 5, 4, 2, 0])     print ("Permutation a - index form : ", a.index()) print ("Permutation b - index form : ", b.index()) |
Output :
Permutation a – index form : 1
Permutation b – index form : 9
Code #2 : index() Example – 2D Permutation
# Python code explaining # SymPy.Permutation.index()   # importing SymPy libraries from sympy.combinatorics.partitions import Partition from sympy.combinatorics.permutations import Permutation   # Using from sympy.combinatorics.permutations.Permutation.index() method   # creating Permutation a = Permutation([[2, 4, 0],                  [3, 1, 2],                  [1, 5, 6]])     print ("Permutation a - index form : ", a.index()) |
Output :
Permutation a – index form : 8
