



"""simple docstring"""
import unittest

from .lib import (
    Matrix,
    Vector,
    axpy,
    square_zero_matrix,
    unit_basis_vector,
    zero_vector,
)




class 			snake_case_						(						unittest.TestCase				):






							def snake_case_  (   self      ):
									a_     :      Union[str, Any] 						=     Vector([1, 2, 3]      )
									self.assertEqual(x.component(0      )			,     1      )
									self.assertEqual(x.component(2      )			,     3      )
									a_     :      Tuple 						=     Vector()






							def snake_case_  (   self      ):
									a_     :      int 						=     Vector([0, 0, 0, 0, 0, 1]      )
									self.assertEqual(str(a_      )			,     "(0,0,0,0,0,1)"      )






							def snake_case_  (   self      ):
									a_     :      int 						=     Vector([1, 2, 3, 4]      )
									self.assertEqual(len(a_      )			,     4      )






							def snake_case_  (   self      ):
									a_     :      Optional[Any] 						=     Vector([1, 2]      )
									a_     :      int 						=     Vector([1, 2, 3, 4, 5]      )
									a_     :      List[str] 						=     Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]      )
									a_     :      Tuple 						=     Vector([1, -1, 1, -1, 2, -3, 4, -5]      )
									self.assertAlmostEqual(x.euclidean_length()			,     2.236			,     3      )
									self.assertAlmostEqual(y.euclidean_length()			,     7.416			,     3      )
									self.assertEqual(z.euclidean_length()			,     0      )
									self.assertAlmostEqual(w.euclidean_length()			,     7.616			,     3      )






							def snake_case_  (   self      ):
									a_     :      Any 						=     Vector([1, 2, 3]      )
									a_     :      Any 						=     Vector([1, 1, 1]      )
									self.assertEqual((x + y).component(0      )			,     2      )
									self.assertEqual((x + y).component(1      )			,     3      )
									self.assertEqual((x + y).component(2      )			,     4      )






							def snake_case_  (   self      ):
									a_     :      Optional[Any] 						=     Vector([1, 2, 3]      )
									a_     :      str 						=     Vector([1, 1, 1]      )
									self.assertEqual((x - y).component(0      )			,     0      )
									self.assertEqual((x - y).component(1      )			,     1      )
									self.assertEqual((x - y).component(2      )			,     2      )






							def snake_case_  (   self      ):
									a_     :      List[Any] 						=     Vector([1, 2, 3]      )
									a_     :      int 						=     Vector([2, -1, 4]      )  # for test of dot product
									a_     :      str 						=     Vector([1, -2, -1]      )
									self.assertEqual(str(x * 3.0      )			,     "(3.0,6.0,9.0)"      )
									self.assertEqual((a * b)			,     0      )






							def snake_case_  (   self      ):
									self.assertEqual(str(zero_vector(1_0      )      ).count("0"      )			,     1_0      )






							def snake_case_  (   self      ):
									self.assertEqual(str(unit_basis_vector(3			,     1      )      )			,     "(0,1,0)"      )






							def snake_case_  (   self      ):
									a_     :      Any 						=     Vector([1, 2, 3]      )
									a_     :      Union[str, Any] 						=     Vector([1, 0, 1]      )
									self.assertEqual(str(axpy(2			,     a_			,     a_      )      )			,     "(3,4,7)"      )






							def snake_case_  (   self      ):
									a_     :      str 						=     Vector([1, 0, 0, 0, 0, 0]      )
									a_     :      Union[str, Any] 						=     x.copy()
									self.assertEqual(str(a_      )			,     str(a_      )      )






							def snake_case_  (   self      ):
									a_     :      Optional[int] 						=     Vector([1, 0, 0]      )
									x.change_component(0			,     0      )
									x.change_component(1			,     1      )
									self.assertEqual(str(a_      )			,     "(0,1,0)"      )






							def snake_case_  (   self      ):
									a_     :      Union[str, Any] 						=     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]			,     3			,     3      )
									self.assertEqual("|1,2,3|\n|2,4,5|\n|6,7,8|\n"			,     str(a_      )      )






							def snake_case_  (   self      ):
									a_     :      Any 						=     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]			,     3			,     3      )
									a_     :      Any 						=     [[-3, -1_4, -1_0], [-5, -1_0, -5], [-2, -1, 0]]
									for x in range(a.height()      ):
											for y in range(a.width()      ):
													self.assertEqual(minors[x][y]			,     a.minor(a_			,     a_      )      )






							def snake_case_  (   self      ):
									a_     :      Optional[int] 						=     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]			,     3			,     3      )
									a_     :      str 						=     [[-3, 1_4, -1_0], [5, -1_0, 5], [-2, 1, 0]]
									for x in range(a.height()      ):
											for y in range(a.width()      ):
													self.assertEqual(cofactors[x][y]			,     a.cofactor(a_			,     a_      )      )






							def snake_case_  (   self      ):
									a_     :      Union[str, Any] 						=     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]			,     3			,     3      )
									self.assertEqual(-5			,     a.determinant()      )






							def snake_case_  (   self      ):
									a_     :      List[str] 						=     Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]			,     3			,     3      )
									a_     :      Optional[int] 						=     Vector([1, 2, 3]      )
									self.assertEqual("(14,32,50)"			,     str(a * x      )      )
									self.assertEqual("|2,4,6|\n|8,10,12|\n|14,16,18|\n"			,     str(a * 2      )      )






							def snake_case_  (   self      ):
									a_     :      str 						=     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]			,     3			,     3      )
									a.change_component(0			,     2			,     5      )
									self.assertEqual("|1,2,5|\n|2,4,5|\n|6,7,8|\n"			,     str(a_      )      )






							def snake_case_  (   self      ):
									a_     :      Any 						=     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]			,     3			,     3      )
									self.assertEqual(7			,     a.component(2			,     1      )			,     0.01      )






							def snake_case_  (   self      ):
									a_     :      List[str] 						=     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]			,     3			,     3      )
									a_     :      Union[str, Any] 						=     Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 1_0]]			,     3			,     3      )
									self.assertEqual("|2,4,10|\n|4,8,10|\n|12,14,18|\n"			,     str(a + b      )      )






							def snake_case_  (   self      ):
									a_     :      str 						=     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]			,     3			,     3      )
									a_     :      Tuple 						=     Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 1_0]]			,     3			,     3      )
									self.assertEqual("|0,0,-4|\n|0,0,0|\n|0,0,-2|\n"			,     str(a - b      )      )






							def snake_case_  (   self      ):
									self.assertEqual(
									    "|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n"			,     str(square_zero_matrix(5      )      )			,     )


if __name__ == "__main__":
	unittest.main()




"""simple docstring"""
SCREAMING_SNAKE_CASE_				= 0  # The first color of the flag.
SCREAMING_SNAKE_CASE_				= 1  # The second color of the flag.
SCREAMING_SNAKE_CASE_				= 2  # The third color of the flag.
SCREAMING_SNAKE_CASE_				= (red, white, blue)



def        lowerCAmelCase_						(							SCREAMING_SNAKE_CASE__	)			->      list:
		if not sequence:
				return []
		if len(SCREAMING_SNAKE_CASE__	) == 1:
				return list(SCREAMING_SNAKE_CASE__	)
		a_     :      Dict 						=     0
		a_     :      List[Any] 						=     len(SCREAMING_SNAKE_CASE__	) - 1
		a_     :      str 						=     0
		while mid <= high:
				if sequence[mid] == colors[0]:
						a_						,				a_     :      int 						=     sequence[mid], sequence[low]
						low += 1
						mid += 1
				elif sequence[mid] == colors[1]:
						mid += 1
				elif sequence[mid] == colors[2]:
						a_						,				a_     :      List[Any] 						=     sequence[high], sequence[mid]
						high -= 1
				else:
						a_     :      Dict 						=     F"""The elements inside the sequence must contains only {colors} values"""
						raise ValueError(SCREAMING_SNAKE_CASE__	)
		return sequence


if __name__ == "__main__":
					import doctest

					doctest.testmod()

					SCREAMING_SNAKE_CASE_				= input("""Enter numbers separated by commas:\n""").strip()
					SCREAMING_SNAKE_CASE_				= [int(item.strip()) for item in user_input.split(""",""")]
					print(F"""{dutch_national_flag_sort(unsorted)}""")