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28 changes: 19 additions & 9 deletions dynamic_programming/longest_increasing_subsequence.py
Original file line number Diff line number Diff line change
Expand Up @@ -7,10 +7,21 @@
Given an ARRAY, to find the longest and increasing sub ARRAY in that given ARRAY and return it.
Example: [10, 22, 9, 33, 21, 50, 41, 60, 80] as input will return [10, 22, 33, 41, 60, 80] as output
"""


def longestSub(ARRAY): # This function is recursive

from typing import List


def longestSub(ARRAY: List[int]) -> List[int]: # This function is recursive
"""
Some examples
>>> longestSub([10, 22, 9, 33, 21, 50, 41, 60, 80])
[10, 22, 33, 41, 60, 80]
>>> longestSub([4, 8, 7, 5, 1, 12, 2, 3, 9])
[1, 2, 3, 9]
>>> longestSub([9, 8, 7, 6, 5, 7])
[8]
>>> longestSub([1, 1, 1])
[1, 1, 1]
"""
ARRAY_LENGTH = len(ARRAY)
if (
ARRAY_LENGTH <= 1
Expand All @@ -37,9 +48,8 @@ def longestSub(ARRAY): # This function is recursive
return TEMPORARY_ARRAY
else:
return LONGEST_SUB



# Some examples

print(longestSub([4, 8, 7, 5, 1, 12, 2, 3, 9]))
print(longestSub([9, 8, 7, 6, 5, 7]))
if __name__ == "__main__":
import doctest
doctest.testmod()