




from __future__ import annotations

from typing import Generic, TypeVar

_lowerCamelCase			 =						TypeVar('T')



class 			a     (   _A			):

     '''simple docstring'''





     pass



class 			a     (   _A			):

     '''simple docstring'''





     pass



class 			a     (   Generic[T]			):

     '''simple docstring'''





     def __init__(	self   :			Union[str, Any]					,    __snake_case   :			int = 10				):
         UpperCAmelCase_							 =     []
         UpperCAmelCase_							 =     limit
     def __bool__(	self   :			Tuple				):
         return bool(self.stack				)
     def __str__(	self   :			Tuple				):
         return str(self.stack				)
     def   lowerCamelCase_   (	self   :			Optional[int]					,    __snake_case   :			T				):
         if len(self.stack				) >= self.limit:
             raise StackOverflowError
         self.stack.append(__snake_case				)
     def   lowerCamelCase_   (	self   :			Tuple				):
         if not self.stack:
             raise StackUnderflowError
         return self.stack.pop()
     def   lowerCamelCase_   (	self   :			Optional[int]				):
         if not self.stack:
             raise StackUnderflowError
         return self.stack[-1]
     def   lowerCamelCase_   (	self   :			Optional[int]				):
         return not bool(self.stack				)
     def   lowerCamelCase_   (	self   :			Optional[Any]				):
         return self.size() == self.limit
     def   lowerCamelCase_   (	self   :			int				):
         return len(self.stack				)




     def __contains__(	self   :			Optional[int]					,    __snake_case   :			T				):
         return item in self.stack




def 					SCREAMING_SNAKE_CASE	(       )  ->							None:
    UpperCAmelCase_							 =     Stack(10      )
    assert bool(__UpperCamelCase      ) is False
    assert stack.is_empty() is True
    assert stack.is_full() is False
    assert str(__UpperCamelCase      ) == "[]"

    try:
        UpperCAmelCase_							 =     stack.pop()
        raise AssertionError  # This should not happen
    except StackUnderflowError:
        assert True  # This should happen

    try:
        UpperCAmelCase_							 =     stack.peek()
        raise AssertionError  # This should not happen
    except StackUnderflowError:
        assert True  # This should happen

    for i in range(10      ):
        assert stack.size() == i
        stack.push(__UpperCamelCase      )

    assert bool(__UpperCamelCase      )
    assert not stack.is_empty()
    assert stack.is_full()
    assert str(__UpperCamelCase      ) == str(list(range(10      )      )      )
    assert stack.pop() == 9
    assert stack.peek() == 8

    stack.push(100      )
    assert str(__UpperCamelCase      ) == str([0, 1, 2, 3, 4, 5, 6, 7, 8, 100]      )

    try:
        stack.push(200      )
        raise AssertionError  # This should not happen
    except StackOverflowError:
        assert True  # This should happen

    assert not stack.is_empty()
    assert stack.size() == 10

    assert 5 in stack
    assert 55 not in stack


if __name__ == "__main__":
 test_stack()








from __future__ import annotations

import random

# Adjacency list representation of this graph:
# https://en.wikipedia.org/wiki/File:Single_run_of_Karger%E2%80%99s_Mincut_algorithm.svg
_UpperCamelCase			       =			{
    '''1''': ['''2''', '''3''', '''4''', '''5'''],
    '''2''': ['''1''', '''3''', '''4''', '''5'''],
    '''3''': ['''1''', '''2''', '''4''', '''5''', '''10'''],
    '''4''': ['''1''', '''2''', '''3''', '''5''', '''6'''],
    '''5''': ['''1''', '''2''', '''3''', '''4''', '''7'''],
    '''6''': ['''7''', '''8''', '''9''', '''10''', '''4'''],
    '''7''': ['''6''', '''8''', '''9''', '''10''', '''5'''],
    '''8''': ['''6''', '''7''', '''9''', '''10'''],
    '''9''': ['''6''', '''7''', '''8''', '''10'''],
    '''10''': ['''6''', '''7''', '''8''', '''9''', '''3'''],
}
def 						UpperCamelCase_(			snake_case__:  dict[str, list[str]]   )       -> set[tuple[str, str]]:
 UpperCAmelCase__							=				{node: {node} for node in graph}

 UpperCAmelCase__							=				{node: graph[node][:] for node in graph}

 while len(snake_case__   ) > 2:
  # Choose a random edge.
  UpperCAmelCase__							=				random.choice(list(graph_copy.keys()   )   )
  UpperCAmelCase__							=				random.choice(graph_copy[u]   )

  # Contract edge (u, v) to new node uv
  UpperCAmelCase__							=				u + v
  UpperCAmelCase__							=				list(set(graph_copy[u] + graph_copy[v]   )   )
  uv_neighbors.remove(snake_case__   )
  uv_neighbors.remove(snake_case__   )
  UpperCAmelCase__							=				uv_neighbors
  for neighbor in uv_neighbors:
   graph_copy[neighbor].append(snake_case__   )

  UpperCAmelCase__							=				set(contracted_nodes[u].union(contracted_nodes[v]   )   )

  # Remove nodes u and v.
  del graph_copy[u]
  del graph_copy[v]
  for neighbor in uv_neighbors:
   if u in graph_copy[neighbor]:
    graph_copy[neighbor].remove(snake_case__   )
   if v in graph_copy[neighbor]:
    graph_copy[neighbor].remove(snake_case__   )

    # Find cutset.
 UpperCAmelCase__							=				[contracted_nodes[node] for node in graph_copy]
 return {
     (node, neighbor)
     for node in groups[0]
     for neighbor in graph[node]
     if neighbor in groups[1]
 }


if __name__ == "__main__":
 print(partition_graph(TEST_GRAPH))



