komby

The Problem

Finding all the possible partitions of a list maintaining in the partition the order of the elements in the original list, and all the elements in the original list must be in some partition.

A list with 3 elements, for example [1, 2, 3], will produce 2^n-1 = 4 possible partitions:

1 - [[1, 2, 3]]
2 - [[1, 2], [3]]
3 - [[1], [2, 3]]
4 - [[1], [2], [3]]

Usage

Code:

    from komby.komby import Komby

    data = [1, 2, 3]

    print("Number of possible partitions: {}.\n".format(Komby.total_partitions(data)))

    partitions = Komby.partitions(data, True)

    print("Partitions:")
    for p in partitions:
        print("\t - {}".format(p))

Output:

Number of possible partitions: 4.

Partitions:
	 - [[1, 2, 3]]
	 - [[1, 2], [3]]
	 - [[1], [2, 3]]
	 - [[1], [2], [3]]

Install

You can install Komby easily via pip:

pip install -U komby

Tests