


def 						_UpperCAmelCase				(			SCREAMING_SNAKE_CASE__			:					list[int]			,     SCREAMING_SNAKE_CASE__			:					list[int]				):

     # Check if the input is valid
     if not len(SCREAMING_SNAKE_CASE__				) == len(SCREAMING_SNAKE_CASE__				) == 3:
          raise ValueError('Please enter a valid equation.'				)
     if equationa[0] == equationa[1] == equationa[0] == equationa[1] == 0:
          raise ValueError('Both a & b of two equations can\'t be zero.'				)

     # Extract the coefficients
     __UpperCamelCase							,      __UpperCamelCase							,      __UpperCamelCase    							=equationa
     __UpperCamelCase							,      __UpperCamelCase							,      __UpperCamelCase    							=equationa

     # Calculate the determinants of the matrices
     __UpperCamelCase    							=aa * ba - aa * ba
     __UpperCamelCase    							=ca * ba - ca * ba
     __UpperCamelCase    							=aa * ca - aa * ca

     # Check if the system of linear equations has a solution (using Cramer's rule)
     if determinant == 0:
          if determinant_x == determinant_y == 0:
               raise ValueError('Infinite solutions. (Consistent system)'				)
          else:
               raise ValueError('No solution. (Inconsistent system)'				)
     else:
          if determinant_x == determinant_y == 0:
               # Trivial solution (Inconsistent system)
               return (0.0, 0.0)
          else:
               __UpperCamelCase    							=determinant_x / determinant
               __UpperCamelCase    							=determinant_y / determinant
               # Non-Trivial Solution (Consistent system)
               return (x, y)











"""simple docstring"""






def      _snake_case			(				lowercase__							,    lowercase__		):
				# "extended trapezoidal rule"
				# int(f) = dx/2 * (f1 + 2f2 + ... + fn)
				_lowerCamelCase     :			List[Any]    =    (boundary[1] - boundary[0]) / steps
				_lowerCamelCase     :			Tuple    =    boundary[0]
				_lowerCamelCase     :			Dict    =    boundary[1]
				_lowerCamelCase     :			List[Any]    =    make_points(lowercase__							,    lowercase__							,    lowercase__		)
				_lowerCamelCase     :			List[Any]    =    0.0
				y += (h / 2.0) * f(lowercase__		)
				for i in x_i:
								# print(i)
								y += h * f(lowercase__		)
				y += (h / 2.0) * f(lowercase__		)
				return y







def      _snake_case			(				lowercase__							,    lowercase__							,    lowercase__		):
				_lowerCamelCase     :			str    =    a + h
				while x < (b - h):
								yield x
								_lowerCamelCase     :			int    =    x + h







def      _snake_case			(				lowercase__		):  # enter your function here
				_lowerCamelCase     :			Optional[Any]    =    (x - 0) * (x - 0)
				return y







def      _snake_case			(				):
				_lowerCamelCase     :			int    =    0.0  # Lower bound of integration
				_lowerCamelCase     :			Optional[int]    =    1.0  # Upper bound of integration
				_lowerCamelCase     :			List[str]    =    1_0.0  # define number of steps or resolution
				_lowerCamelCase     :			List[Any]    =    [a, b]  # define boundary of integration
				_lowerCamelCase     :			Optional[Any]    =    method_a(lowercase__							,    lowercase__		)
				print(f'''y = {y}'''		)


if __name__ == "__main__":
			main()