



"""simple docstring"""


class       A_			:



						"""simple docstring"""






						def __init__(					self :List[Any]   ,  lowercase_ :Optional[Any]					)				->			Any:
												UpperCAmelCase             = val
												UpperCAmelCase             = None
												UpperCAmelCase             = None






						def 	UpperCAmelCase__     (					self :Tuple   ,  lowercase_ :List[Any]					)				->			int:
												if self.val:
																		if val < self.val:
																								if self.left is None:
																														UpperCAmelCase             = Node(__UpperCAmelCase					)
																								else:
																														self.left.insert(__UpperCAmelCase					)
																		elif val > self.val:
																								if self.right is None:
																														UpperCAmelCase             = Node(__UpperCAmelCase					)
																								else:
																														self.right.insert(__UpperCAmelCase					)
												else:
																		UpperCAmelCase             = val


def  _lowerCAmelCase      (   lowercase_		,	lowercase_						):







						if root:
												inorder(root.left		,	A_						)
												res.append(root.val						)
												inorder(root.right		,	A_						)

def  _lowerCAmelCase      (   lowercase_						):







						if len(A_						) == 0:
												return arr
						UpperCAmelCase             = Node(arr[0]						)
						for i in range(1		,	len(A_						)						):
												root.insert(arr[i]						)
						# Traverse BST in order.
						UpperCAmelCase             = []
						inorder(A_		,	A_						)
						return res


if __name__ == "__main__":
				print(tree_sort([10, 1, 3, 2, 9, 14, 13]))









"""simple docstring"""







from __future__ import annotations

from numpy import array, cos, cross, floataa, radians, sin
from numpy.typing import NDArray


def      lowercase			(				A_  ,   A_  ,   A_ = False       )->      list[float]:
  '''simple docstring'''







  if radian_mode:
    return [magnitude * cos(A_       ), magnitude * sin(A_       )]
  return [magnitude * cos(radians(A_       )       ), magnitude * sin(radians(A_       )       )]


def      lowercase			(				A_  ,   A_  ,   A_ = 10**-1       )->      bool:
  '''simple docstring'''







  a						:		NDArray[floataa]      							=			cross(A_  ,   A_       )
  a						:		float      							=			sum(A_       )
  return abs(A_       ) < eps


if __name__ == "__main__":
 # Test to check if it works
 __lowercase    					=      array(
     [
         polar_force(7_18.4, 180 - 30),
         polar_force(8_79.54, 45),
         polar_force(100, -90),
     ]
 )

 __lowercase    					=      array([[0, 0], [0, 0], [0, 0]])

 assert in_static_equilibrium(forces, location)

 # Problem 1 in image_data/2D_problems.jpg
 __lowercase    					=      array(
     [
         polar_force(30 * 9.81, 15),
         polar_force(215, 180 - 45),
         polar_force(264, 90 - 30),
     ]
 )

 __lowercase    					=      array([[0, 0], [0, 0], [0, 0]])

 assert in_static_equilibrium(forces, location)

 # Problem in image_data/2D_problems_1.jpg
 __lowercase    					=      array([[0, -2000], [0, -1200], [0, 15600], [0, -12400]])

 __lowercase    					=      array([[0, 0], [6, 0], [10, 0], [12, 0]])

 assert in_static_equilibrium(forces, location)

 import doctest

 doctest.testmod()






