Python | sympy IntegerPartition() method

Python | sympy IntegerPartition() method

IntegerPartition() in the sympy library provides a way to generate integer partitions for a given number. An integer partition of a number n is a way of writing n as a sum of positive integers where the order of addends does not matter. For example, the integer partitions of 4 are:

  1. 4
  2. 3 + 1
  3. 2 + 2
  4. 2 + 1 + 1
  5. 1 + 1 + 1 + 1

Here's how you can use IntegerPartition() from the sympy library to get integer partitions:

from sympy.functions.combinatorial.numbers import IntegerPartition n = 4 partitions = IntegerPartition(n) # Getting partitions as a list partition_list = list(partitions) print(partition_list) 

The above code will output:

[(4,), (3, 1), (2, 2), (2, 1, 1), (1, 1, 1, 1)] 

Each tuple represents a partition of the number 4.

Note that there might be other ways to generate integer partitions in Python, especially for larger numbers where performance could be a concern, but IntegerPartition() is a straightforward method provided by the sympy library.


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