
"""simple docstring"""






from .stack import Stack
def    UpperCamelCase						(					UpperCAmelCase     )						->bool:

   """simple docstring"""



   a_						   =     Stack()
   a_						   =     {"(": ")", "[": "]", "{": "}"}
   for bracket in parentheses:
      if bracket in bracket_pairs:
         stack.push(UpperCAmelCase     )
      elif bracket in (")", "]", "}"):
         if stack.is_empty() or bracket_pairs[stack.pop()] != bracket:
            return False
   return stack.is_empty()


if __name__ == "__main__":
      from doctest import testmod

      testmod()

      UpperCamelCase_						   =   ["""((()))""", """((())""", """(()))"""]
      print('Balanced parentheses demonstration:\n')
      for example in examples:
            UpperCamelCase_						   =   """""" if balanced_parentheses(example) else """not """
            print(F"""{example} is {not_str}balanced""")






from collections import deque
def  __UpperCamelCase    (						snake_case      )    ->		List[str]:


   '''simple docstring'''







   return input(snake_case      ).strip().split(''' '''      )
def  __UpperCamelCase    (						snake_case							,			snake_case      )    ->		dict[int, list[int]]:


   '''simple docstring'''







   __A    =  {}
   for i in range(snake_case      ):
      __A    =  []

   for e in range(snake_case      ):
      __A   ,		__A    =  (int(snake_case      ) for i in _input(F"Edge {e + 1}: <node1> <node2> "      ))
      graph[x].append(snake_case      )
   return graph
def  __UpperCamelCase    (						snake_case							,			snake_case      )    ->		dict[int, list[int]]:


   '''simple docstring'''







   __A    =  {}
   for i in range(snake_case      ):
      __A    =  []

   for e in range(snake_case      ):
      __A   ,		__A    =  (int(snake_case      ) for i in _input(F"Edge {e + 1}: <node1> <node2> "      ))
      graph[x].append(snake_case      )
      graph[y].append(snake_case      )
   return graph
def  __UpperCamelCase    (						snake_case							,			snake_case      )    ->		dict[int, list[tuple[int, int]]]:


   '''simple docstring'''







   __A    =  {}
   for i in range(snake_case      ):
      __A    =  []

   for e in range(snake_case      ):
      __A   ,		__A   ,		__A    =  (int(snake_case      ) for i in _input(F"Edge {e + 1}: <node1> <node2> <weight> "      ))
      graph[x].append((y, w)      )
      graph[y].append((x, w)      )
   return graph


if __name__ == "__main__":
    _UpperCamelCase       ,    _UpperCamelCase       :				List[Any]           =			(int(i) for i in _input("""Number of nodes and edges: """))

    _UpperCamelCase       :				int           =			int(
        _input(
            """Press 1 or 2 or 3 \n"""
            """1. Unweighted directed \n"""
            """2. Unweighted undirected \n"""
            """3. Weighted undirected \n"""
        )[0]
    )

    _UpperCamelCase       :				Optional[Any]           =			{
        1: initialize_unweighted_directed_graph,
        2: initialize_unweighted_undirected_graph,
        3: initialize_weighted_undirected_graph,
    }[graph_choice](n, m)
def  __UpperCamelCase    (						snake_case							,			snake_case      )    ->		int:


   '''simple docstring'''







   __A   ,		__A    =  {s}, [s]
   print(snake_case      )
   while _s:
      __A    =  0
      for i in g[_s[-1]]:
         if i not in vis:
            _s.append(snake_case      )
            vis.add(snake_case      )
            __A    =  1
            print(snake_case      )
            break
      if not flag:
         _s.pop()
def  __UpperCamelCase    (						snake_case							,			snake_case      )    ->		Dict:


   '''simple docstring'''







   __A   ,		__A    =  {s}, deque([s]      )
   print(snake_case      )
   while q:
      __A    =  q.popleft()
      for v in g[u]:
         if v not in vis:
            vis.add(snake_case      )
            q.append(snake_case      )
            print(snake_case      )
def  __UpperCamelCase    (						snake_case							,			snake_case      )    ->		List[Any]:


   '''simple docstring'''







   __A   ,		__A   ,		__A    =  {s: 0}, set(), {s: 0}
   while True:
      if len(snake_case      ) == len(snake_case      ) - 1:
         break
      __A    =  1_0_0_0_0_0
      for i in dist:
         if i not in known and dist[i] < mini:
            __A    =  dist[i]
            __A    =  i
      known.add(snake_case      )
      for v in g[u]:
         if v[0] not in known and dist[u] + v[1] < dist.get(v[0]							,			1_0_0_0_0_0      ):
            __A    =  dist[u] + v[1]
            __A    =  u
   for i in dist:
      if i != s:
         print(dist[i]      )
def  __UpperCamelCase    (						snake_case							,			snake_case=None							,			snake_case=None      )    ->		Any:


   '''simple docstring'''







   if q is None:
      __A    =  [1]
   if ind is None:
      __A    =  [0] * (len(snake_case      ) + 1)  # SInce oth Index is ignored
      for u in g:
         for v in g[u]:
            ind[v] += 1
      __A    =  deque()
      for i in g:
         if ind[i] == 0:
            q.append(snake_case      )
   if len(snake_case      ) == 0:
      return
   __A    =  q.popleft()
   print(snake_case      )
   for w in g[v]:
      ind[w] -= 1
      if ind[w] == 0:
         q.append(snake_case      )
   topo(snake_case							,			snake_case							,			snake_case      )
def  __UpperCamelCase    (						)    ->		Any:


   '''simple docstring'''







   __A    =  input().strip()
   __A    =  []
   for _ in range(snake_case      ):
      a.append(map(snake_case							,			input().strip().split()      )      )
   return a, n
def  __UpperCamelCase    (						snake_case      )    ->		List[Any]:


   '''simple docstring'''







   ((__A)   ,		(__A))    =  a_and_n
   __A    =  list(snake_case      )
   __A    =  [[0] * n for i in range(snake_case      )]
   for k in range(snake_case      ):
      for i in range(snake_case      ):
         for j in range(snake_case      ):
            if dist[i][j] > dist[i][k] + dist[k][j]:
               __A    =  dist[i][k] + dist[k][j]
               __A    =  k
   print(snake_case      )
def  __UpperCamelCase    (						snake_case							,			snake_case      )    ->		Dict:


   '''simple docstring'''







   __A   ,		__A   ,		__A    =  {s: 0}, set(), {s: 0}
   while True:
      if len(snake_case      ) == len(snake_case      ) - 1:
         break
      __A    =  1_0_0_0_0_0
      for i in dist:
         if i not in known and dist[i] < mini:
            __A    =  dist[i]
            __A    =  i
      known.add(snake_case      )
      for v in g[u]:
         if v[0] not in known and v[1] < dist.get(v[0]							,			1_0_0_0_0_0      ):
            __A    =  v[1]
            __A    =  u
   return dist
def  __UpperCamelCase    (						)    ->		List[str]:


   '''simple docstring'''







   __A   ,		__A    =  map(snake_case							,			input().split(''' '''      )      )
   __A    =  []
   for _ in range(snake_case      ):
      edges.append(map(snake_case							,			input().split(''' '''      )      )      )
   return edges, n
def  __UpperCamelCase    (						snake_case      )    ->		int:


   '''simple docstring'''







   ((__A)   ,		(__A))    =  e_and_n
   e.sort(reverse=snake_case							,			key=lambda snake_case      : x[2]      )
   __A    =  [{i} for i in range(1							,			n + 1      )]
   while True:
      if len(snake_case      ) == 1:
         break
      print(snake_case      )
      __A    =  e.pop()
      for i in range(len(snake_case      )      ):
         if x[0] in s[i]:
            break
      for j in range(len(snake_case      )      ):
         if x[1] in s[j]:
            if i == j:
               break
            s[j].update(s[i]      )
            s.pop(snake_case      )
            break
def  __UpperCamelCase    (						snake_case      )    ->		Tuple:


   '''simple docstring'''







   __A    =  []
   for node in graph:
      if not graph[node]:
         isolated.append(snake_case      )
   return isolated

