
'''simple docstring'''




import math





class 					A							:





     def __init__(				self		,     SCREAMING_SNAKE_CASE=0      )					->							Union[str, Any]:  # a graph with Node 0,1,...,N-1






         """simple docstring"""






         A			:  Any   =		n
         A			:  Tuple   =		[
             [math.inf for j in range(0		,     SCREAMING_SNAKE_CASE      )] for i in range(0		,     SCREAMING_SNAKE_CASE      )
         ]  # adjacency matrix for weight
         A			:  Union[str, Any]   =		[
             [math.inf for j in range(0		,     SCREAMING_SNAKE_CASE      )] for i in range(0		,     SCREAMING_SNAKE_CASE      )
         ]  # dp[i][j] stores minimum distance from i to j





     def 							__lowerCAmelCase				(				self		,     SCREAMING_SNAKE_CASE		,     SCREAMING_SNAKE_CASE		,     SCREAMING_SNAKE_CASE      )					->							Dict:






         """simple docstring"""






         A			:  List[Any]   =		w





     def 							__lowerCAmelCase				(				self      )					->							Dict:






         """simple docstring"""






         for k in range(0		,     self.n      ):
             for i in range(0		,     self.n      ):
                 for j in range(0		,     self.n      ):
                     A			:  Tuple   =		min(self.dp[i][j]		,     self.dp[i][k] + self.dp[k][j]      )





     def 							__lowerCAmelCase				(				self		,     SCREAMING_SNAKE_CASE		,     SCREAMING_SNAKE_CASE      )					->							Optional[Any]:






         """simple docstring"""






         return self.dp[u][v]


if __name__ == "__main__":
      lowercase     :							Optional[Any]       						=     Graph(5)
      graph.add_edge(0, 2, 9)
      graph.add_edge(0, 4, 10)
      graph.add_edge(1, 3, 5)
      graph.add_edge(2, 3, 7)
      graph.add_edge(3, 0, 10)
      graph.add_edge(3, 1, 2)
      graph.add_edge(3, 2, 1)
      graph.add_edge(3, 4, 6)
      graph.add_edge(4, 1, 3)
      graph.add_edge(4, 2, 4)
      graph.add_edge(4, 3, 9)
      graph.floyd_warshall()
      graph.show_min(1, 4)
      graph.show_min(0, 3)






'''simple docstring'''




import random







def 						lowerCAmelCase_							(  snake_case__						,							snake_case__		):




    '''simple docstring'''



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







def 						lowerCAmelCase_							(  snake_case__						,							snake_case__		):




    '''simple docstring'''



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

    A			:  List[Any]   =		items[random.randint(0						,							len(snake_case__		) - 1		)]
    A			:  Optional[int]   =		0
    A,    A,    A			:  Dict   =		_partition(snake_case__						,							snake_case__		)
    A			:  int   =		len(snake_case__		)
    A			:  List[Any]   =		len(snake_case__		)

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




