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Consolidate find_min and find_min recursive and find_max and find_max_recursive (#8960)
* updating DIRECTORY.md
* refactor(min-max): Consolidate implementations
* updating DIRECTORY.md
* refactor(min-max): Append _iterative to func name
---------
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
This commit is contained in:
Caeden Perelli-Harris
GitHub
parent
2ab3bf2689
commit
fb1b939a89
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@ -573,9 +573,7 @@
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* [Fermat Little Theorem](maths/fermat_little_theorem.py)
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* [Fibonacci](maths/fibonacci.py)
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* [Find Max](maths/find_max.py)
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* [Find Max Recursion](maths/find_max_recursion.py)
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* [Find Min](maths/find_min.py)
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* [Find Min Recursion](maths/find_min_recursion.py)
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* [Floor](maths/floor.py)
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* [Gamma](maths/gamma.py)
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* [Gamma Recursive](maths/gamma_recursive.py)
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@ -1,23 +1,23 @@
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from __future__ import annotations
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def find_max(nums: list[int | float]) -> int | float:
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def find_max_iterative(nums: list[int | float]) -> int | float:
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"""
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>>> for nums in ([3, 2, 1], [-3, -2, -1], [3, -3, 0], [3.0, 3.1, 2.9]):
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... find_max(nums) == max(nums)
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... find_max_iterative(nums) == max(nums)
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True
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True
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True
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True
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>>> find_max([2, 4, 9, 7, 19, 94, 5])
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>>> find_max_iterative([2, 4, 9, 7, 19, 94, 5])
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94
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>>> find_max([])
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>>> find_max_iterative([])
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Traceback (most recent call last):
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...
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ValueError: find_max() arg is an empty sequence
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ValueError: find_max_iterative() arg is an empty sequence
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"""
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if len(nums) == 0:
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raise ValueError("find_max() arg is an empty sequence")
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raise ValueError("find_max_iterative() arg is an empty sequence")
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max_num = nums[0]
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for x in nums:
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if x > max_num:
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@ -25,6 +25,59 @@ def find_max(nums: list[int | float]) -> int | float:
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return max_num
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# Divide and Conquer algorithm
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def find_max_recursive(nums: list[int | float], left: int, right: int) -> int | float:
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"""
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find max value in list
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:param nums: contains elements
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:param left: index of first element
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:param right: index of last element
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:return: max in nums
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>>> for nums in ([3, 2, 1], [-3, -2, -1], [3, -3, 0], [3.0, 3.1, 2.9]):
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... find_max_recursive(nums, 0, len(nums) - 1) == max(nums)
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True
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True
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True
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True
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>>> nums = [1, 3, 5, 7, 9, 2, 4, 6, 8, 10]
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>>> find_max_recursive(nums, 0, len(nums) - 1) == max(nums)
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True
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>>> find_max_recursive([], 0, 0)
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Traceback (most recent call last):
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...
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ValueError: find_max_recursive() arg is an empty sequence
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>>> find_max_recursive(nums, 0, len(nums)) == max(nums)
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Traceback (most recent call last):
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...
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IndexError: list index out of range
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>>> find_max_recursive(nums, -len(nums), -1) == max(nums)
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True
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>>> find_max_recursive(nums, -len(nums) - 1, -1) == max(nums)
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Traceback (most recent call last):
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...
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IndexError: list index out of range
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"""
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if len(nums) == 0:
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raise ValueError("find_max_recursive() arg is an empty sequence")
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if (
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left >= len(nums)
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or left < -len(nums)
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or right >= len(nums)
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or right < -len(nums)
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):
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raise IndexError("list index out of range")
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if left == right:
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return nums[left]
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mid = (left + right) >> 1 # the middle
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left_max = find_max_recursive(nums, left, mid) # find max in range[left, mid]
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right_max = find_max_recursive(
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nums, mid + 1, right
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) # find max in range[mid + 1, right]
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return left_max if left_max >= right_max else right_max
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if __name__ == "__main__":
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import doctest
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@ -1,58 +0,0 @@
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from __future__ import annotations
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# Divide and Conquer algorithm
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def find_max(nums: list[int | float], left: int, right: int) -> int | float:
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"""
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find max value in list
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:param nums: contains elements
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:param left: index of first element
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:param right: index of last element
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:return: max in nums
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>>> for nums in ([3, 2, 1], [-3, -2, -1], [3, -3, 0], [3.0, 3.1, 2.9]):
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... find_max(nums, 0, len(nums) - 1) == max(nums)
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True
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True
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True
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True
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>>> nums = [1, 3, 5, 7, 9, 2, 4, 6, 8, 10]
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>>> find_max(nums, 0, len(nums) - 1) == max(nums)
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True
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>>> find_max([], 0, 0)
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Traceback (most recent call last):
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...
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ValueError: find_max() arg is an empty sequence
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>>> find_max(nums, 0, len(nums)) == max(nums)
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Traceback (most recent call last):
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...
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IndexError: list index out of range
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>>> find_max(nums, -len(nums), -1) == max(nums)
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True
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>>> find_max(nums, -len(nums) - 1, -1) == max(nums)
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Traceback (most recent call last):
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...
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IndexError: list index out of range
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"""
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if len(nums) == 0:
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raise ValueError("find_max() arg is an empty sequence")
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if (
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left >= len(nums)
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or left < -len(nums)
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or right >= len(nums)
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or right < -len(nums)
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):
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raise IndexError("list index out of range")
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if left == right:
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return nums[left]
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mid = (left + right) >> 1 # the middle
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left_max = find_max(nums, left, mid) # find max in range[left, mid]
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right_max = find_max(nums, mid + 1, right) # find max in range[mid + 1, right]
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return left_max if left_max >= right_max else right_max
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if __name__ == "__main__":
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import doctest
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doctest.testmod(verbose=True)
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@ -1,33 +1,86 @@
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from __future__ import annotations
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def find_min(nums: list[int | float]) -> int | float:
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def find_min_iterative(nums: list[int | float]) -> int | float:
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"""
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Find Minimum Number in a List
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:param nums: contains elements
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:return: min number in list
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>>> for nums in ([3, 2, 1], [-3, -2, -1], [3, -3, 0], [3.0, 3.1, 2.9]):
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... find_min(nums) == min(nums)
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... find_min_iterative(nums) == min(nums)
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True
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True
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True
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True
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>>> find_min([0, 1, 2, 3, 4, 5, -3, 24, -56])
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>>> find_min_iterative([0, 1, 2, 3, 4, 5, -3, 24, -56])
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-56
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>>> find_min([])
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>>> find_min_iterative([])
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Traceback (most recent call last):
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...
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ValueError: find_min() arg is an empty sequence
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ValueError: find_min_iterative() arg is an empty sequence
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"""
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if len(nums) == 0:
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raise ValueError("find_min() arg is an empty sequence")
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raise ValueError("find_min_iterative() arg is an empty sequence")
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min_num = nums[0]
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for num in nums:
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min_num = min(min_num, num)
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return min_num
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# Divide and Conquer algorithm
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def find_min_recursive(nums: list[int | float], left: int, right: int) -> int | float:
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"""
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find min value in list
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:param nums: contains elements
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:param left: index of first element
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:param right: index of last element
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:return: min in nums
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>>> for nums in ([3, 2, 1], [-3, -2, -1], [3, -3, 0], [3.0, 3.1, 2.9]):
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... find_min_recursive(nums, 0, len(nums) - 1) == min(nums)
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True
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True
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True
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True
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>>> nums = [1, 3, 5, 7, 9, 2, 4, 6, 8, 10]
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>>> find_min_recursive(nums, 0, len(nums) - 1) == min(nums)
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True
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>>> find_min_recursive([], 0, 0)
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Traceback (most recent call last):
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...
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ValueError: find_min_recursive() arg is an empty sequence
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>>> find_min_recursive(nums, 0, len(nums)) == min(nums)
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Traceback (most recent call last):
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...
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IndexError: list index out of range
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>>> find_min_recursive(nums, -len(nums), -1) == min(nums)
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True
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>>> find_min_recursive(nums, -len(nums) - 1, -1) == min(nums)
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Traceback (most recent call last):
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...
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IndexError: list index out of range
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"""
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if len(nums) == 0:
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raise ValueError("find_min_recursive() arg is an empty sequence")
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if (
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left >= len(nums)
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or left < -len(nums)
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or right >= len(nums)
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or right < -len(nums)
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):
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raise IndexError("list index out of range")
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if left == right:
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return nums[left]
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mid = (left + right) >> 1 # the middle
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left_min = find_min_recursive(nums, left, mid) # find min in range[left, mid]
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right_min = find_min_recursive(
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nums, mid + 1, right
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) # find min in range[mid + 1, right]
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return left_min if left_min <= right_min else right_min
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if __name__ == "__main__":
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import doctest
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@ -1,58 +0,0 @@
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from __future__ import annotations
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# Divide and Conquer algorithm
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def find_min(nums: list[int | float], left: int, right: int) -> int | float:
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"""
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find min value in list
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:param nums: contains elements
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:param left: index of first element
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:param right: index of last element
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:return: min in nums
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>>> for nums in ([3, 2, 1], [-3, -2, -1], [3, -3, 0], [3.0, 3.1, 2.9]):
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... find_min(nums, 0, len(nums) - 1) == min(nums)
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True
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True
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True
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True
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>>> nums = [1, 3, 5, 7, 9, 2, 4, 6, 8, 10]
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>>> find_min(nums, 0, len(nums) - 1) == min(nums)
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True
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>>> find_min([], 0, 0)
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Traceback (most recent call last):
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...
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ValueError: find_min() arg is an empty sequence
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>>> find_min(nums, 0, len(nums)) == min(nums)
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Traceback (most recent call last):
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...
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IndexError: list index out of range
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>>> find_min(nums, -len(nums), -1) == min(nums)
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True
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>>> find_min(nums, -len(nums) - 1, -1) == min(nums)
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Traceback (most recent call last):
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...
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IndexError: list index out of range
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"""
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if len(nums) == 0:
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raise ValueError("find_min() arg is an empty sequence")
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if (
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left >= len(nums)
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or left < -len(nums)
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or right >= len(nums)
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or right < -len(nums)
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):
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raise IndexError("list index out of range")
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if left == right:
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return nums[left]
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mid = (left + right) >> 1 # the middle
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left_min = find_min(nums, left, mid) # find min in range[left, mid]
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right_min = find_min(nums, mid + 1, right) # find min in range[mid + 1, right]
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return left_min if left_min <= right_min else right_min
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if __name__ == "__main__":
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import doctest
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doctest.testmod(verbose=True)
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