
'''simple docstring'''



import math
def       lowerCAmelCase_		( SCREAMING_SNAKE_CASE_  )   ->   str:




   """simple docstring"""
   if number == 0:
      _SCREAMING_SNAKE_CASE          = """Zero"""
      return words
   else:
      _SCREAMING_SNAKE_CASE          = math.logaa(SCREAMING_SNAKE_CASE_  )
      _SCREAMING_SNAKE_CASE          = digits + 1
      _SCREAMING_SNAKE_CASE          = {}
      _SCREAMING_SNAKE_CASE          = """"""
      _SCREAMING_SNAKE_CASE          = """One"""
      _SCREAMING_SNAKE_CASE          = """Two"""
      _SCREAMING_SNAKE_CASE          = """Three"""
      _SCREAMING_SNAKE_CASE          = """Four"""
      _SCREAMING_SNAKE_CASE          = """Five"""
      _SCREAMING_SNAKE_CASE          = """Six"""
      _SCREAMING_SNAKE_CASE          = """Seven"""
      _SCREAMING_SNAKE_CASE          = """Eight"""
      _SCREAMING_SNAKE_CASE          = """Nine"""

      _SCREAMING_SNAKE_CASE          = {}
      _SCREAMING_SNAKE_CASE          = """"""
      _SCREAMING_SNAKE_CASE          = """Twenty"""
      _SCREAMING_SNAKE_CASE          = """Thirty"""
      _SCREAMING_SNAKE_CASE          = """Forty"""
      _SCREAMING_SNAKE_CASE          = """Fifty"""
      _SCREAMING_SNAKE_CASE          = """Sixty"""
      _SCREAMING_SNAKE_CASE          = """Seventy"""
      _SCREAMING_SNAKE_CASE          = """Eighty"""
      _SCREAMING_SNAKE_CASE          = """Ninety"""

      _SCREAMING_SNAKE_CASE          = {}
      _SCREAMING_SNAKE_CASE          = """Ten"""
      _SCREAMING_SNAKE_CASE          = """Eleven"""
      _SCREAMING_SNAKE_CASE          = """Twelve"""
      _SCREAMING_SNAKE_CASE          = """Thirteen"""
      _SCREAMING_SNAKE_CASE          = """Fourteen"""
      _SCREAMING_SNAKE_CASE          = """Fifteen"""
      _SCREAMING_SNAKE_CASE          = """Sixteen"""
      _SCREAMING_SNAKE_CASE          = """Seventeen"""
      _SCREAMING_SNAKE_CASE          = """Eighteen"""
      _SCREAMING_SNAKE_CASE          = """Nineteen"""

      _SCREAMING_SNAKE_CASE          = {}
      _SCREAMING_SNAKE_CASE          = """Hundred,"""
      _SCREAMING_SNAKE_CASE          = """Thousand,"""
      _SCREAMING_SNAKE_CASE          = """Lakh,"""
      _SCREAMING_SNAKE_CASE          = """Crore,"""

      _SCREAMING_SNAKE_CASE          = number
      _SCREAMING_SNAKE_CASE          = """"""
      _SCREAMING_SNAKE_CASE          = 0
      _SCREAMING_SNAKE_CASE          = int(SCREAMING_SNAKE_CASE_  )
      while counter < digits:
         _SCREAMING_SNAKE_CASE          = temp_num % 10
         if counter % 2 == 0:
            _SCREAMING_SNAKE_CASE          = """"""
            if counter in placevalue and current != 0:
               _SCREAMING_SNAKE_CASE          = placevalue[counter]
            if counter == 2:
               _SCREAMING_SNAKE_CASE          = singles[current] + addition + words
            elif counter == 0:
               if ((temp_num % 1_00) // 10) == 1:
                  _SCREAMING_SNAKE_CASE          = teens[current] + addition + words
                  _SCREAMING_SNAKE_CASE          = temp_num // 10
                  counter += 1
               else:
                  _SCREAMING_SNAKE_CASE          = singles[current] + addition + words

            else:
               _SCREAMING_SNAKE_CASE          = doubles[current] + addition + words

         else:
            if counter == 1:
               if current == 1:
                  _SCREAMING_SNAKE_CASE          = teens[number % 10] + words
               else:
                  _SCREAMING_SNAKE_CASE          = """"""
                  if counter in placevalue:
                     _SCREAMING_SNAKE_CASE          = placevalue[counter]
                  _SCREAMING_SNAKE_CASE          = doubles[current] + addition + words
            else:
               _SCREAMING_SNAKE_CASE          = """"""
               if counter in placevalue:
                  if current == 0 and ((temp_num % 1_00) // 10) == 0:
                     _SCREAMING_SNAKE_CASE          = """"""
                  else:
                     _SCREAMING_SNAKE_CASE          = placevalue[counter]
               if ((temp_num % 1_00) // 10) == 1:
                  _SCREAMING_SNAKE_CASE          = teens[current] + addition + words
                  _SCREAMING_SNAKE_CASE          = temp_num // 10
                  counter += 1
               else:
                  _SCREAMING_SNAKE_CASE          = singles[current] + addition + words
         counter += 1
         _SCREAMING_SNAKE_CASE          = temp_num // 10
   return words


if __name__ == "__main__":
     import doctest

     doctest.testmod()











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
__A				    =						{
    '''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        __a     (    lowerCAmelCase_   :					dict[str, list[str]]				)      -> set[tuple[str, str]]:






						'''simple docstring'''



						UpperCAmelCase_=   {node: {node} for node in graph}

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

						while len(lowerCAmelCase_				) > 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(lowerCAmelCase_				)
												uv_neighbors.remove(lowerCAmelCase_				)
												UpperCAmelCase_=   uv_neighbors
												for neighbor in uv_neighbors:
																		graph_copy[neighbor].append(lowerCAmelCase_				)

												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(lowerCAmelCase_				)
																		if v in graph_copy[neighbor]:
																								graph_copy[neighbor].remove(lowerCAmelCase_				)

    # 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))




