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Improve doctest and comment for maximum sub-array problem (#1503)

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* Doctest and comment for maximum sub-array problem

More examples and description for max_sub_array.py

* Update max_sub_array.py

* Update max_sub_array.py

* Fix doctest
This commit is contained in:
John Law 2019-10-29 00:44:57 +08:00 committed by Christian Clauss
parent 3fc276ca2c
commit 1da1ab0773
1 changed files with 18 additions and 7 deletions
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25
dynamic_programming/max_sub_array.py
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@ -2,9 +2,6 @@
author : Mayank Kumar Jha (mk9440) author : Mayank Kumar Jha (mk9440)
""" """
from typing import List from typing import List
import time
import matplotlib.pyplot as plt
from random import randint
def find_max_sub_array(A, low, high): def find_max_sub_array(A, low, high):
@ -43,15 +40,23 @@ def find_max_cross_sum(A, low, mid, high):
def max_sub_array(nums: List[int]) -> int: def max_sub_array(nums: List[int]) -> int:
""" """
Finds the contiguous subarray (can be empty array) Finds the contiguous subarray which has the largest sum and return its sum.
which has the largest sum and return its sum.
>>> max_sub_array([-2,1,-3,4,-1,2,1,-5,4]) >>> max_sub_array([-2, 1, -3, 4, -1, 2, 1, -5, 4])
6 6
An empty (sub)array has sum 0.
>>> max_sub_array([]) >>> max_sub_array([])
0 0
>>> max_sub_array([-1,-2,-3])
If all elements are negative, the largest subarray would be the empty array,
having the sum 0.
>>> max_sub_array([-1, -2, -3])
0 0
>>> max_sub_array([5, -2, -3])
5
>>> max_sub_array([31, -41, 59, 26, -53, 58, 97, -93, -23, 84])
187
""" """
best = 0 best = 0
current = 0 current = 0
@ -64,6 +69,12 @@ def max_sub_array(nums: List[int]) -> int:
if __name__ == "__main__": if __name__ == "__main__":
"""
A random simulation of this algorithm.
"""
import time
import matplotlib.pyplot as plt
from random import randint
inputs = [10, 100, 1000, 10000, 50000, 100000, 200000, 300000, 400000, 500000] inputs = [10, 100, 1000, 10000, 50000, 100000, 200000, 300000, 400000, 500000]
tim = [] tim = []
for i in inputs: for i in inputs: