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SymPy | Partition.RGS_enum () in Python

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Bounded growth lines — a line where each character a i leads to the block (B i ) to which it belongs the corresponding element.

Syntax: sympy.combinatorics.partitions.Partition.RGS_enum ()

Return: total number of restricted growth strings, possible for a superset of size n.

Code # 1: Example RGS_enum ()

# Python code explaining
# SymPy.RGS_enum ()

 
# import SymPy libraries

from sympy.combinatorics.partitions import Partition

from sympy.combinatorics. partitions import RGS_enum

  
# Using the sympy.combinatorics.partitions.Partition.RGS_enum () method

p = RGS_enum ( 4 )

 

q = RGS_enum ( 9 )

 

print ( "no. of strings possible for size 4: " , p)

print ( "no. of strings possible for size 9:" , q)

Output:

no. of strings possible for size 4: 15
no. of strings possible for size 9: 203

Code # 2: Example RGS_enum ()

# Python code explaining
# SymPy.RGS_enum ()

 
# import SymPy libraries

from sympy.combinatorics.partitions import Partition

from sympy.combinatorics.partitions import RGS_enum

 
# Using the sympy.combinatorics.partitions.Partition.RGS_enum () method

p = RGS_enum ( 20 )

 

q = RGS_enum ( - 1 )

 

print ( "no. of strings possible for size 20 " , p)

print ( "no. of strings possible for size -1:" , q)

Output:

no. of strings possible for size 20 51724158235372
no. of strings possible for size -1: 0

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