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]]