Python | SymPy Permutation.index() method
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
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import 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())
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Output :
Permutation a – index form : 1
Permutation b – index form : 9
Code #2 : index() Example – 2D Permutation
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation
a = Permutation([[ 2 , 4 , 0 ],
[ 3 , 1 , 2 ],
[ 1 , 5 , 6 ]])
print ( "Permutation a - index form : " , a.index())
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Output :
Permutation a – index form : 8
Last Updated :
27 Aug, 2019
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