



A_		:  Optional[Any]										=  float('''inf''')



class 		_lowercase		:

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


    """simple docstring"""






    a							=		[0] * n
    a							=		[0] * n
    a							=		[0] * n
    a							=		[[] for _ in range(__lowerCAmelCase				)]

   def 		A				(   self      :							Optional[int]				, __lowerCAmelCase      :							Tuple				, __lowerCAmelCase      :							List[str]				, __lowerCAmelCase      :							Optional[Any]				, __lowerCAmelCase      :							Tuple=0				)							->					str:


    """simple docstring"""






    self.adj[a].append([b, len(self.adj[b]				), c, 0]				)
    self.adj[b].append([a, len(self.adj[a]				) - 1, rcap, 0]				)

   def 		A				(   self      :							List[str]				, __lowerCAmelCase      :							Union[str, Any]				, __lowerCAmelCase      :							str				, __lowerCAmelCase      :							Optional[int]				)							->					Tuple:


    """simple docstring"""






    if vertex == sink or not flow:
     return flow

    for i in range(self.ptr[vertex]				, len(self.adj[vertex]				)				):
     a							=		self.adj[vertex][i]
     if self.lvl[e[0]] == self.lvl[vertex] + 1:
      a							=		self.depth_first_search(e[0]				, __lowerCAmelCase				, min(__lowerCAmelCase				, e[2] - e[3]				)				)
      if p:
       self.adj[vertex][i][3] += p
       self.adj[e[0]][e[1]][3] -= p
       return p
     a							=		self.ptr[vertex] + 1
    return 0




   def 		A				(   self      :							Optional[int]				, __lowerCAmelCase      :							str				, __lowerCAmelCase      :							List[str]				)							->					str:


    """simple docstring"""






    a		,	a							=		0, source
    for l in range(31				):  # noqa: E741  l = 30 maybe faster for random data
     while True:
      a		,	a							=		[0] * len(self.q				), [0] * len(self.q				)
      a		,	a		,	a							=		0, 1, 1
      while qi < qe and not self.lvl[sink]:
       a							=		self.q[qi]
       qi += 1
       for e in self.adj[v]:
        if not self.lvl[e[0]] and (e[2] - e[3]) >> (30 - l):
         a							=		e[0]
         qe += 1
         a							=		self.lvl[v] + 1

      a							=		self.depth_first_search(__lowerCAmelCase				, __lowerCAmelCase				, __lowerCAmelCase				)
      while p:
       flow += p
       a							=		self.depth_first_search(__lowerCAmelCase				, __lowerCAmelCase				, __lowerCAmelCase				)

      if not self.lvl[sink]:
       break

    return flow
A_		:  Tuple										=  Dinic(10)
A_		:  Dict										=  0
A_		:  Optional[Any]										=  9
for vertex in range(1, 5):
     graph.add_edge(source, vertex, 1)
for vertex in range(5, 9):
     graph.add_edge(vertex, sink, 1)
for vertex in range(1, 5):
     graph.add_edge(vertex, vertex + 4, 1)

# Now we can know that is the maximum flow(source -> sink)
print(graph.max_flow(source, sink))


from .number_theory.prime_numbers import next_prime



class     snake_case_			:






   def __init__( self							:	Tuple      ,		lowercase_							:	int      ,		lowercase_							:	int | None = None      ,		lowercase_							:	float | None = None      ,		)   ->		None:
       lowercase__					:  Optional[Any]          =							size_table
       lowercase__					:  Tuple          =							[None] * self.size_table
       lowercase__					:  List[str]          =							0.75 if lim_charge is None else lim_charge
       lowercase__					:  Optional[Any]          =							1 if charge_factor is None else charge_factor
       lowercase__					:  list          =							[]
       lowercase__					:  dict          =							{}






   def  __UpperCamelCase	( self							:	List[Any]    )   ->		Optional[Any]:
       return self._keys






   def  __UpperCamelCase	( self							:	Any    )   ->		List[Any]:
       return sum(1 for slot in self.values if slot is not None    ) / (
           self.size_table * self.charge_factor
       )






   def  __UpperCamelCase	( self							:	int      ,		lowercase_							:	Union[str, Any]    )   ->		Dict:
       return key % self.size_table






   def  __UpperCamelCase	( self							:	Union[str, Any]      ,		lowercase_							:	Any    )   ->		List[str]:
       print(F'''step {step_ord}'''    )
       print(list(range(len(self.values    )    )    )    )
       print(self.values    )






   def  __UpperCamelCase	( self							:	Tuple      ,		lowercase_							:	List[Any]    )   ->		Union[str, Any]:
       lowercase__					:  Any          =							1
       lowercase__					:  Dict          =							values
       for value in values:
           self.insert_data(lowercase_    )
           self._step_by_step(lowercase_    )
           i += 1






   def  __UpperCamelCase	( self							:	Tuple      ,		lowercase_							:	Dict      ,		lowercase_							:	Optional[Any]    )   ->		Any:
       lowercase__					:  str          =							data
       lowercase__					:  List[str]          =							data






   def  __UpperCamelCase	( self							:	int      ,		lowercase_							:	Any      ,		lowercase_							:	int=None    )   ->		int:
       lowercase__					:  Dict          =							self.hash_function(key + 1    )

       while self.values[new_key] is not None and self.values[new_key] != key:
           if self.values.count(lowercase_    ) > 0:
               lowercase__					:  List[Any]          =							self.hash_function(new_key + 1    )
           else:
               lowercase__					:  List[str]          =							None
               break

       return new_key






   def  __UpperCamelCase	( self							:	Union[str, Any]    )   ->		Optional[int]:
       lowercase__					:  Tuple          =							[value for value in self.values if value is not None]
       lowercase__					:  Any          =							next_prime(self.size_table      ,		factor=2    )
       self._keys.clear()
       lowercase__					:  Tuple          =							[None] * self.size_table  # hell's pointers D: don't DRY ;/
       for value in survivor_values:
           self.insert_data(lowercase_    )







   def  __UpperCamelCase	( self							:	Dict      ,		lowercase_							:	Optional[int]    )   ->		int:
       lowercase__					:  List[str]          =							self.hash_function(lowercase_    )

       if self.values[key] is None:
           self._set_value(lowercase_      ,		lowercase_    )

       elif self.values[key] == data:
           pass

       else:
           lowercase__					:  List[Any]          =							self._collision_resolution(lowercase_      ,		lowercase_    )
           if collision_resolution is not None:
               self._set_value(lowercase_      ,		lowercase_    )
           else:
               self.rehashing()
               self.insert_data(lowercase_    )



