





from __future__ import annotations

from collections import defaultdict
from dataclasses import dataclass



@dataclass
class 				_UpperCamelCase       :
       _UpperCamelCase					:       List[Any]       = 4_2
       _UpperCamelCase					:       int       = None
       _UpperCamelCase					:       List[Any]       = None




def 			lowerCAmelCase_			(				)  ->		List[str]:
       return TreeNode(3       ,		TreeNode(9	)       ,		TreeNode(20       ,		TreeNode(15	)       ,		TreeNode(7	)	)	)




def 			lowerCAmelCase_			(				UpperCamelCase_	)  ->		Any:



       def depth_first_search(
           UpperCamelCase_       ,		UpperCamelCase_       ,		UpperCamelCase_	) -> None:
              if not root:
                     return

              if depth == len(UpperCamelCase_	):
                     right_view.append(root.val	)

              depth_first_search(root.right       ,		depth + 1       ,		UpperCamelCase_	)
              depth_first_search(root.left       ,		depth + 1       ,		UpperCamelCase_	)

       UpperCamelCase_ 							=	[]
       if not root:
              return right_view

       depth_first_search(UpperCamelCase_       ,		0       ,		UpperCamelCase_	)
       return right_view




def 			lowerCAmelCase_			(				UpperCamelCase_	)  ->		int:



       def depth_first_search(
           UpperCamelCase_       ,		UpperCamelCase_       ,		UpperCamelCase_	) -> None:
              if not root:
                     return

              if depth == len(UpperCamelCase_	):
                     left_view.append(root.val	)

              depth_first_search(root.left       ,		depth + 1       ,		UpperCamelCase_	)
              depth_first_search(root.right       ,		depth + 1       ,		UpperCamelCase_	)

       UpperCamelCase_ 							=	[]
       if not root:
              return left_view

       depth_first_search(UpperCamelCase_       ,		0       ,		UpperCamelCase_	)
       return left_view




def 			lowerCAmelCase_			(				UpperCamelCase_	)  ->		Tuple:



       def breadth_first_search(UpperCamelCase_       ,		UpperCamelCase_	) -> None:
              UpperCamelCase_ 							=	[(root, 0)]
              UpperCamelCase_ 							=	defaultdict(UpperCamelCase_	)

              while queue:
                     UpperCamelCase_ 							=	queue.pop(0	)
                     UpperCamelCase_							,			UpperCamelCase_ 							=	first

                     lookup[hd].append(node.val	)

                     if node.left:
                            queue.append((node.left, hd - 1)	)
                     if node.right:
                            queue.append((node.right, hd + 1)	)

              for pair in sorted(lookup.items()       ,		key=lambda UpperCamelCase_	: each[0]	):
                     top_view.append(pair[1][0]	)

       UpperCamelCase_ 							=	[]
       if not root:
              return top_view

       breadth_first_search(UpperCamelCase_       ,		UpperCamelCase_	)
       return top_view




def 			lowerCAmelCase_			(				UpperCamelCase_	)  ->		Any:
       from collections import defaultdict

       def breadth_first_search(UpperCamelCase_       ,		UpperCamelCase_	) -> None:
              UpperCamelCase_ 							=	[(root, 0)]
              UpperCamelCase_ 							=	defaultdict(UpperCamelCase_	)

              while queue:
                     UpperCamelCase_ 							=	queue.pop(0	)
                     UpperCamelCase_							,			UpperCamelCase_ 							=	first
                     lookup[hd].append(node.val	)

                     if node.left:
                            queue.append((node.left, hd - 1)	)
                     if node.right:
                            queue.append((node.right, hd + 1)	)

              for pair in sorted(lookup.items()       ,		key=lambda UpperCamelCase_	: each[0]	):
                     bottom_view.append(pair[1][-1]	)

       UpperCamelCase_ 							=	[]
       if not root:
              return bottom_view

       breadth_first_search(UpperCamelCase_       ,		UpperCamelCase_	)
       return bottom_view


if __name__ == "__main__":
     import doctest

     doctest.testmod()


"""simple docstring"""


import qiskit
from qiskit.providers import Backend







def        __a (		A     ,					A   ):






     '''simple docstring'''



     lowercase__			,    lowercase__								=				bin(A   )[2:], bin(A   )[2:]  # Remove leading '0b'

     # Ensure that both strings are of the same length
     if len(A   ) > len(A   ):
          lowercase__								=				y.zfill(len(A   )   )
     else:
          lowercase__								=				x.zfill(len(A   )   )

     # We need (3 * number of bits in the larger number)+1 qBits
     # The second parameter is the number of classical registers, to measure the result
     lowercase__								=				qiskit.QuantumCircuit((len(A   ) * 3) + 1     ,					len(A   ) + 1   )

     # We are essentially "not-ing" the bits that are 1
     # Reversed because it's easier to perform ops on more significant bits
     for i in range(len(A   )   ):
          if x[::-1][i] == "1":
               circuit.x(A   )
     for j in range(len(A   )   ):
          if y[::-1][j] == "1":
               circuit.x(len(A   ) + j   )

     return circuit, x, y







def        __a (		A     ,					A     ,					A     ,					A     ,					A     ,					):






     '''simple docstring'''



     circuit.ccx(A     ,					A     ,					A   )
     circuit.cx(A     ,					A   )
     circuit.ccx(A     ,					A     ,					A   )
     circuit.cx(A     ,					A   )
     circuit.cx(A     ,					A   )







def        __a (		A     ,					A     ,					A = qiskit.Aer.get_backend("aer_simulator"   )     ,					):






     '''simple docstring'''



     if vala < 0 or vala < 0:
          raise ValueError("Both Integers must be positive!"   )

     # Store the Integers
     lowercase__			,    lowercase__			,    lowercase__								=				store_two_classics(A     ,					A   )
     for i in range(len(A   )   ):
          full_adder(A     ,					A     ,					len(A   ) + i     ,					len(A   ) + len(A   ) + i     ,					len(A   ) + len(A   ) + i + 1   )
          circuit.barrier()  # Optional, just for aesthetics

     # Measure the resultant qBits
     for i in range(len(A   ) + 1   ):
          circuit.measure([(len(A   ) * 2) + i]     ,					[i]   )

     lowercase__								=				qiskit.execute(A     ,					A     ,					shots=1   ).result()

     # The result is in binary. Convert it back to int
     return int(list(res.get_counts()   )[0]     ,					2   )


if __name__ == "__main__":
 import doctest

 doctest.testmod()




