Python/dynamic_programming/max_non_adjacent_sum.py
Christian Clauss 9200a2e543
from __future__ import annotations (#2464)
* from __future__ import annotations

* fixup! from __future__ import annotations

* fixup! from __future__ import annotations

* fixup! Format Python code with psf/black push

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
2020-09-23 13:30:13 +02:00

35 lines
886 B
Python

# Video Explanation: https://www.youtube.com/watch?v=6w60Zi1NtL8&feature=emb_logo
from __future__ import annotations
def maximum_non_adjacent_sum(nums: list[int]) -> int:
"""
Find the maximum non-adjacent sum of the integers in the nums input list
>>> print(maximum_non_adjacent_sum([1, 2, 3]))
4
>>> maximum_non_adjacent_sum([1, 5, 3, 7, 2, 2, 6])
18
>>> maximum_non_adjacent_sum([-1, -5, -3, -7, -2, -2, -6])
0
>>> maximum_non_adjacent_sum([499, 500, -3, -7, -2, -2, -6])
500
"""
if not nums:
return 0
max_including = nums[0]
max_excluding = 0
for num in nums[1:]:
max_including, max_excluding = (
max_excluding + num,
max(max_including, max_excluding),
)
return max(max_excluding, max_including)
if __name__ == "__main__":
import doctest
doctest.testmod()