from __future__ import annotations

import time
from collections.abc import Sequence
from random import randint

from matplotlib import pyplot as plt





def  _lowerCamelCase					(   a_				: Sequence[float]						,			a_				: int						,			a_				: int):
			if not arr:
						return None, None, 0
			if low == high:
						return low, high, arr[low]

			lowerCamelCase						:Dict						  =     (low + high) // 2
			lowerCamelCase  ,    lowerCamelCase  ,    lowerCamelCase						:Union[str, Any]						  =     max_subarray(a_						,			a_						,			a_)
			lowerCamelCase  ,    lowerCamelCase  ,    lowerCamelCase						:Optional[int]						  =     max_subarray(a_						,			mid + 1						,			a_)
			lowerCamelCase  ,    lowerCamelCase  ,    lowerCamelCase						:List[str]						  =     max_cross_sum(a_						,			a_						,			a_						,			a_)
			if left_sum >= right_sum and left_sum >= cross_sum:
						return left_low, left_high, left_sum
			elif right_sum >= left_sum and right_sum >= cross_sum:
						return right_low, right_high, right_sum
			return cross_left, cross_right, cross_sum





def  _lowerCamelCase					(   a_				: Sequence[float]						,			a_				: int						,			a_				: int						,			a_				: int):
			lowerCamelCase  ,    lowerCamelCase						:str						  =     float('''-inf'''), -1
			lowerCamelCase  ,    lowerCamelCase						:Any						  =     float('''-inf'''), -1

			lowerCamelCase						:int | float						  =     0
			for i in range(a_						,			low - 1						,			-1):
						summ += arr[i]
						if summ > left_sum:
									lowerCamelCase						:List[str]						  =     summ
									lowerCamelCase						:int						  =     i

			lowerCamelCase						:int						  =     0
			for i in range(mid + 1						,			high + 1):
						summ += arr[i]
						if summ > right_sum:
									lowerCamelCase						:List[str]						  =     summ
									lowerCamelCase						:Dict						  =     i

			return max_left, max_right, (left_sum + right_sum)





def  _lowerCamelCase					(   a_				: int):
			lowerCamelCase						:List[Any]						  =     [randint(1						,			a_) for _ in range(a_)]
			lowerCamelCase						:int						  =     time.time()
			max_subarray(a_						,			0						,			input_size - 1)
			lowerCamelCase						:List[Any]						  =     time.time()
			return end - start





def  _lowerCamelCase					(   ):
			lowerCamelCase						:Optional[Any]						  =     [10, 1_00, 10_00, 1_00_00, 5_00_00, 10_00_00, 20_00_00, 30_00_00, 40_00_00, 50_00_00]
			lowerCamelCase						:Dict						  =     [time_max_subarray(a_) for input_size in input_sizes]
			print('''No of Inputs\t\tTime Taken''')
			for input_size, runtime in zip(a_						,			a_):
						print(a_						,			'''\t\t'''						,			a_)
			plt.plot(a_						,			a_)
			plt.xlabel('''Number of Inputs''')
			plt.ylabel('''Time taken in seconds''')
			plt.show()


if __name__ == "__main__":
			from doctest import testmod

			testmod()




from maths.prime_factors import prime_factors





def  _lowerCamelCase					(   a_				: int):
			if not isinstance(a_						,			a_):
						lowerCamelCase						:Tuple						  =     F"Input value of [number={number}] must be an integer"
						raise TypeError(a_)
			if number < 1:
						raise ValueError('''Input must be a positive integer''')
			return -1 if len(prime_factors(a_)) % 2 else 1


if __name__ == "__main__":
			import doctest

			doctest.testmod()



