SymPy | Permutation.runs() in Python
Permutation.runs() : runs() is a sympy Python library function that returns the runs of the permutation.
Runs = An ascending sequence in a permutation
Syntax : sympy.combinatorics.permutations.Permutation.runs()
Return : runs of the permutation.
Code #1 : runs() Example
# Python code explaining # SymPy.Permutation.runs() # importing SymPy libraries from sympy.combinatorics.partitions import Partition from sympy.combinatorics.permutations import Permutation # Using from sympy.combinatorics.permutations.Permutation.runs() method # creating Permutation a = Permutation([[ 2 , 0 ], [ 3 , 1 ]]) b = Permutation([ 1 , 3 , 5 , 4 , 2 , 0 ]) print ( "Permutation a - runs form : " , a.runs()) print ( "Permutation b - runs form : " , b.runs()) |
Output :
Permutation a – runs form : [[2, 3], [0, 1]]
Permutation b – runs form : [[1, 3, 5], [4], [2], [0]]
Code #2 : runs() Example
# Python code explaining # SymPy.Permutation.runs() # importing SymPy libraries from sympy.combinatorics.partitions import Partition from sympy.combinatorics.permutations import Permutation # Using from # sympy.combinatorics.permutations.Permutation.runs() method # creating Permutation a = Permutation([[ 2 , 4 , 0 ], [ 3 , 1 , 2 ], [ 1 , 5 , 6 ]]) print ( "Permutation a - runs form : " , a.runs()) |
Output :
Permutation a – runs form : [[3], [2, 4, 5], [0, 6], [1]]