Python/dynamic_programming/iterating_through_submasks.py
Christian Clauss c909da9b08
pre-commit: Upgrade psf/black for stable style 2023 (#8110)
* pre-commit: Upgrade psf/black for stable style 2023

Updating https://github.com/psf/black ... updating 22.12.0 -> 23.1.0 for their `2023 stable style`.
* https://github.com/psf/black/blob/main/CHANGES.md#2310

> This is the first [psf/black] release of 2023, and following our stability policy, it comes with a number of improvements to our stable style…

Also, add https://github.com/tox-dev/pyproject-fmt and https://github.com/abravalheri/validate-pyproject to pre-commit.

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2023-02-01 18:44:54 +05:30

62 lines
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Python

"""
Author : Syed Faizan (3rd Year Student IIIT Pune)
github : faizan2700
You are given a bitmask m and you want to efficiently iterate through all of
its submasks. The mask s is submask of m if only bits that were included in
bitmask are set
"""
from __future__ import annotations
def list_of_submasks(mask: int) -> list[int]:
"""
Args:
mask : number which shows mask ( always integer > 0, zero does not have any
submasks )
Returns:
all_submasks : the list of submasks of mask (mask s is called submask of mask
m if only bits that were included in original mask are set
Raises:
AssertionError: mask not positive integer
>>> list_of_submasks(15)
[15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
>>> list_of_submasks(13)
[13, 12, 9, 8, 5, 4, 1]
>>> list_of_submasks(-7) # doctest: +ELLIPSIS
Traceback (most recent call last):
...
AssertionError: mask needs to be positive integer, your input -7
>>> list_of_submasks(0) # doctest: +ELLIPSIS
Traceback (most recent call last):
...
AssertionError: mask needs to be positive integer, your input 0
"""
assert (
isinstance(mask, int) and mask > 0
), f"mask needs to be positive integer, your input {mask}"
"""
first submask iterated will be mask itself then operation will be performed
to get other submasks till we reach empty submask that is zero ( zero is not
included in final submasks list )
"""
all_submasks = []
submask = mask
while submask:
all_submasks.append(submask)
submask = (submask - 1) & mask
return all_submasks
if __name__ == "__main__":
import doctest
doctest.testmod()