






import random

def     __lowercase(	UpperCAmelCase__   ,   UpperCAmelCase__ ):


      """simple docstring"""



      lowerCamelCase			,							lowerCamelCase			,							lowerCamelCase								=		[], [], []
      for element in data:
            if element < pivot:
                  less.append(UpperCAmelCase__ )
            elif element > pivot:
                  greater.append(UpperCAmelCase__ )
            else:
                  equal.append(UpperCAmelCase__ )
      return less, equal, greater






def     __lowercase(	UpperCAmelCase__   ,   UpperCAmelCase__ ):


      """simple docstring"""



      if index >= len(UpperCAmelCase__ ) or index < 0:
            return None

      lowerCamelCase								=		items[random.randint(0   ,   len(UpperCAmelCase__ ) - 1 )]
      lowerCamelCase								=		0
      lowerCamelCase			,							lowerCamelCase			,							lowerCamelCase								=		_partition(UpperCAmelCase__   ,   UpperCAmelCase__ )
      lowerCamelCase								=		len(UpperCAmelCase__ )
      lowerCamelCase								=		len(UpperCAmelCase__ )

      # index is the pivot
      if m <= index < m + count:
            return pivot
      # must be in smaller
      elif m > index:
            return quick_select(UpperCAmelCase__   ,   UpperCAmelCase__ )
      # must be in larger
      else:
            return quick_select(UpperCAmelCase__   ,   index - (m + count) )




from __future__ import annotations

from collections import deque
from collections.abc import Iterator
from dataclasses import dataclass





@dataclass
class    lowerCamelCase__  :
     """simple docstring"""



     _A       =			42
     _A       =			42





class    lowerCamelCase__  :
     """simple docstring"""



     def __init__(self				,			__a    ):






           '''simple docstring'''



           lowerCamelCase								=		[[] for _ in range(__a    )]
           lowerCamelCase								=		size







     def __getitem__(self				,			__a    ):






           '''simple docstring'''



           return iter(self._graph[vertex]    )







     @property
     def 						_a      (self    ):






           '''simple docstring'''



           return self._size







     def 						_a      (self				,			__a				,			__a				,			__a    ):






           '''simple docstring'''



           if weight not in (0, 1):
                 raise ValueError("Edge weight must be either 0 or 1."    )

           if to_vertex < 0 or to_vertex >= self.size:
                 raise ValueError("Vertex indexes must be in [0; size)."    )

           self._graph[from_vertex].append(Edge(__a				,			__a    )    )







     def 						_a      (self				,			__a				,			__a    ):






           '''simple docstring'''



           lowerCamelCase								=		deque([start_vertex]    )
           lowerCamelCase								=		[None] * self.size
           lowerCamelCase								=		0

           while queue:
                 lowerCamelCase								=		queue.popleft()
                 lowerCamelCase								=		distances[current_vertex]
                 if current_distance is None:
                       continue

                 for edge in self[current_vertex]:
                       lowerCamelCase								=		current_distance + edge.weight
                       lowerCamelCase								=		distances[edge.destination_vertex]
                       if (
                           isinstance(__a				,			__a    )
                           and new_distance >= dest_vertex_distance
                       ):
                             continue
                       lowerCamelCase								=		new_distance
                       if edge.weight == 0:
                             queue.appendleft(edge.destination_vertex    )
                       else:
                             queue.append(edge.destination_vertex    )

           if distances[finish_vertex] is None:
                 raise ValueError("No path from start_vertex to finish_vertex."    )

           return distances[finish_vertex]


if __name__ == "__main__":
     import doctest

     doctest.testmod()