from __future__ import annotations


def check_polygon(nums: list[float]) -> bool:
 """
 Takes list of possible side lengths and determines whether a
 two-dimensional polygon with such side lengths can exist.

 Returns a boolean value for the < comparison
 of the largest side length with sum of the rest.
 Wiki: https://en.wikipedia.org/wiki/Triangle_inequality

 >>> check_polygon([6, 10, 5])
 True
 >>> check_polygon([3, 7, 13, 2])
 False
 >>> check_polygon([1, 4.3, 5.2, 12.2])
 False
 >>> nums = [3, 7, 13, 2]
 >>> _ = check_polygon(nums) # Run function, do not show answer in output
 >>> nums # Check numbers are not reordered
 [3, 7, 13, 2]
 >>> check_polygon([])
 Traceback (most recent call last):
 ...
 ValueError: Monogons and Digons are not polygons in the Euclidean space
 >>> check_polygon([-2, 5, 6])
 Traceback (most recent call last):
 ...
 ValueError: All values must be greater than 0
 """
 if len(nums) < 2:
 raise ValueError("Monogons and Digons are not polygons in the Euclidean space")
 if any(i <= 0 for i in nums):
 raise ValueError("All values must be greater than 0")
 copy_nums = nums.copy()
 copy_nums.sort()
 return copy_nums[-1] < sum(copy_nums[:-1])


if __name__ == "__main__":
 import doctest

 doctest.testmod()