Python/dynamic_programming/max_non_adjacent_sum.py
Christian Clauss cd3e8f95a0
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2020-07-06 08:48:18 +05:30

35 lines
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Python

# Video Explanation: https://www.youtube.com/watch?v=6w60Zi1NtL8&feature=emb_logo
from typing import List
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()