SymPy | Partition.RGS_rank() in Python

SymPy | Partition.RGS_unrank() in Python

Last Updated : 26 Aug, 2019

Partition.RGS_unrank(rank, n) : RGS_unrank() is a sympy Python library function that gives the unranked restricted growth strings (string where a[i] is the block in which element i occurs) for a superset of size n. Restricted growth strings - string in which each character, a_i results in the Block (B_i) in which the corresponding element belongs.

Syntax : sympy.combinatorics.partitions.Partition.RGS_unrank() Return : nranked restricted growth for a superset of size n.

Code #1 : RGS_unrank() Example

Python3 1=1

# Python code explaining
# SymPy.RGS_unrank()

# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.partitions import RGS_unrank

# Using from sympy.combinatorics.partitions.Partition.RGS_unrank() method 
rank = 10
n = 5
p = RGS_unrank(rank, n)

print ("unranked restricted growth string for super size 10 : \n", p)

Output :

unranked restricted growth string for super size 10 : [0, 0, 1, 1, 2]

Code #2 : RGS_unrank() Example

Python3 1=1

# Python code explaining
# SymPy.RGS_unrank()

# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.partitions import RGS_unrank

# Using from sympy.combinatorics.partitions.Partition.RGS_unrank() method 
p = RGS_unrank(100, 10)

print ("unranked restricted growth string for super size 10 : \n", p)

Output :

unranked restricted growth string for super size 10 : [0, 0, 0, 0, 0, 1, 1, 1, 0, 1]

SymPy | Partition.RGS_rank() in Python

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