SymPy | Partition.RGS_unrank() in Python

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

# 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

# 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]

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