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SymPy | Partition.next_lex () in Python

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Partition.next_lex (): next_lex () — nice Python library function that returns the next integer section n in lexographic order. This ordering wraps around [n] if section is [1, ..., 1].

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

Return: next integer partition, n in lexographical order

Code # 1: next_lex () example

# Python code explaining
# SymPy.next_lex ()

 
# import SymPy libraries

from sympy.combinatorics.partitions import Partition

from sympy.combinatorics.partitions import IntegerPartition

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

p = IntegerPartition ([ 312 , 121 , 14 , 5 ])

 

print ( ’p:’ , p)

print ( ’Next Integrer:’ , p.next_lex ())

Output:

p: [312, 121, 14, 5]

Next Integrer: [312, 121, 15, 1, 1, 1, 1]

Code # 2: next example _lex ()

# Python code explaining
# SymPy.next_lex ()

 
# import SymPy libraries

from sympy.combinatorics.partitions import Partition

from sympy.combinatorics.partitions import IntegerPartition

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

p = IntegerPartition ([ 1 , 312 , 121 , 14

  34 , 56 , 32 ])

 

print ( ’ p : ’ , p)

print ( ’Next Integrer:’ , p.next_lex ())

Output:

p: [312, 121, 56, 34, 32, 14, 1]

Next Integrer: [312, 121, 56, 34, 32, 15]

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