mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-27 23:11:09 +00:00
26 lines
789 B
Python
26 lines
789 B
Python
|
# Divide and Conquer algorithm
|
||
|
def find_min(nums, left, right):
|
||
|
"""
|
||
|
find min value in list
|
||
|
:param nums: contains elements
|
||
|
:param left: index of first element
|
||
|
:param right: index of last element
|
||
|
:return: min in nums
|
||
|
|
||
|
>>> nums = [1, 3, 5, 7, 9, 2, 4, 6, 8, 10]
|
||
|
>>> find_min(nums, 0, len(nums) - 1) == min(nums)
|
||
|
True
|
||
|
"""
|
||
|
if left == right:
|
||
|
return nums[left]
|
||
|
mid = (left + right) >> 1 # the middle
|
||
|
left_min = find_min(nums, left, mid) # find min in range[left, mid]
|
||
|
right_min = find_min(nums, mid + 1, right) # find min in range[mid + 1, right]
|
||
|
|
||
|
return left_min if left_min <= right_min else right_min
|
||
|
|
||
|
|
||
|
if __name__ == "__main__":
|
||
|
nums = [1, 3, 5, 7, 9, 2, 4, 6, 8, 10]
|
||
|
assert find_min(nums, 0, len(nums) - 1) == 1
|